Datasets:
SmallDoge
/
stable_dataset_processed

Dataset card Data Studio Files
xet
Community
Search is not available for this dataset
input_ids
listlengths
1
2.05k
attention_mask
listlengths
1
2.05k
[ 0, 5035, 589, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 11859, 284, 736, 454, 825, 1219, 535, 4311, 2187, 1038, 1582, 11859, 284, 1345, 11859, 266, 272, 454, 1038, 1820, 4311, 11859, 994, 338, 284, 288, 4590, 2745, 4433, 11859, 994, 2745, 10490, 14061, 343, 994, 2745, 10490, 14061, 325, 994, 338, 8807, 4590, 2745, 4433, 11859, 264, 0, 974, 600, 284, 9131, 288, 12887, 289, 12887, 290, 12887, 291, 23300, 974, 600, 6910, 3488, 292, 5073, 974, 600, 269, 2169, 754, 8443, 262, 325, 12887, 326, 12887, 327, 262, 7481, 974, 600, 31927, 3488, 290, 5073, 343, 284, 974, 600, 21014, 263, 275, 994, 21653, 284, 6352, 263, 974, 600, 994, 2745, 2891, 1492, 2450, 540, 2319, 568, 281, 257, 266, 1598, 4433, 1125, 4917, 2745, 2891, 5602, 2745, 2891, 1492, 5716, 616, 281, 284, 5602, 1721, 7329, 343, 267, 1998, 538, 26246, 263, 974, 600, 2187, 672, 1820, 2891, 260, 338, 281, 260, 338, 257, 260, 263, 30915, 267, 1998, 4917, 2745, 2891, 5602, 2745, 2891, 8145, 3437, 6345, 568, 281, 257, 23444, 343, 11723, 692, 0, 3698, 535, 272, 3799, 2187, 825, 952, 562, 2525, 271, 912, 1038, 1267, 284, 272, 454, 825, 3116, 912, 1038, 1267, 284, 333, 265, 325, 272, 3799, 268, 272, 994, 825, 2132, 1267, 454, 1721, 1775, 538, 2039, 263, 272, 267, 1556, 2187, 825, 1820, 2891, 2399, 540, 15079, 568, 15079, 2668, 8971, 9217, 267, 325, 272, 9217, 21875, 0, 338, 272, 6889, 328, 2648, 9226, 4840, 338, 273, 284, 338, 272, 21858, 4590, 2745, 4433, 273, 994, 338, 274, 284, 2580, 281, 834, 269, 21860, 4433, 273, 994, 338, 274, 6889, 834, 269, 21860, 4433, 273, 994, 338, 274, 6889, 15311, 281, 834, 269, 21860, 4433, 273, 994, 2745, 4433, 274, 994, 0, 320, 272, 17342, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 2639, 320, 272, 314, 271, 24557, 1704, 454, 2745, 5416, 272, 994, 320, 272, 314, 272, 281, 275, 316, 17342, 1240, 267, 866, 267, 736, 2639, 2745, 5416, 272, 994, 320, 272, 6910, 263, 4029, 994, 2745, 5416, 272, 994, 320, 272, 269, 2169, 754, 8443, 6078, 267, 5655, 267, 6246, 7481, 2745, 5416, 272, 994, 320, 272, 6910, 8443, 2004, 267, 7367, 267, 7871, 7481, 2745, 5416, 272, 994, 0, 454, 18411, 901, 5399, 2337, 547, 1820, 519, 1871, 540, 519, 6724, 538, 1142, 7387, 454, 18411, 5814, 21795, 607, 19073, 1948, 1284, 1104, 513, 21795, 538, 2013, 649, 1616, 547, 4688, 519, 1239, 454, 258, 1284, 616, 2469, 547, 5581, 930, 1599, 602, 786, 948, 721, 547, 1820, 519, 2418, 538, 513, 6163, 1259, 692, 3698, 948, 24478, 528, 11583, 267, 17611, 2187, 825, 23288, 825, 898, 2337, 547, 2489, 1125, 519, 18908, 1782, 540, 519, 6724, 454, 825, 18452, 338, 281, 519, 1871, 540, 519, 9936, 543, 519, 1297, 540, 5624, 454, 825, 19243, 281, 519, 1871, 609, 519, 1007, 2511, 454, 825, 23288, 825, 2473, 815, 1412, 346, 15545, 278, 325, 348, 8339, 8971, 11583, 264, 1948, 20368, 2678, 602, 649, 616, 4974, 454, 825, 2132, 1412, 1412, 2608, 630, 525, 335, 910, 7003, 19304, 11583, 30727, 1341, 2473, 1341, 1412, 1923, 7055, 672, 692, 258, 4635, 519, 2063, 1599, 267, 649, 786, 1711, 835, 602, 786, 2699, 604, 710, 782, 519, 6724, 540, 513, 7387, 454, 3698, 3113, 24478, 528, 27887, 8217, 267, 535, 8217, 267, 681, 8217, 267, 623, 8217, 267, 570, 8217, 267, 631, 8217, 267, 700, 8217, 267, 562, 8217, 267, 4688, 2187, 825, 23288, 825, 853, 2643, 1125, 782, 519, 6724, 538, 835, 4737, 267, 602, 568, 547, 2161, 1142, 7387, 454, 825, 18452, 338, 281, 782, 519, 6724, 540, 1142, 7387, 454, 825, 19243, 281, 782, 519, 6724, 18935, 1242, 454, 825, 15981, 692, 825, 2518, 948, 24478, 528, 692, 825, 1948, 769, 2013, 649, 1616, 547, 4688, 519, 1239, 538, 513, 26417, 3758, 454, 825, 952, 4688, 912, 1038, 1948, 9218, 602, 786, 581, 5189, 538, 519, 4578, 20988, 454, 1038, 30352, 15461, 318, 24591, 815, 13634, 1038, 1412, 292, 8217, 262, 2433, 661, 8217, 2676, 1038, 1412, 325, 8217, 262, 2433, 535, 8217, 2676, 1038, 1412, 305, 8217, 262, 2433, 681, 8217, 2676, 1038, 1412, 303, 8217, 262, 2433, 623, 8217, 2676, 1038, 1412, 307, 8217, 262, 2433, 570, 8217, 2676, 1038, 1412, 299, 8217, 262, 2433, 700, 8217, 2676, 1038, 1412, 300, 8217, 262, 2433, 631, 8217, 454, 1038, 7684, 692, 1038, 17093, 318, 13640, 600, 4394, 815, 19073, 6185, 1092, 20988, 263, 13640, 600, 4394, 15461, 318, 24591, 264, 1948, 6282, 525, 519, 4578, 20988, 454, 1038, 17093, 318, 13640, 600, 4394, 30419, 32269, 3488, 13640, 600, 4394, 318, 9515, 961, 338, 27406, 10807, 825, 1948, 590, 2314, 519, 4578, 20988, 593, 513, 26417, 3898, 692, 825, 1948, 1284, 1711, 519, 6498, 1063, 1079, 16115, 454, 825, 1899, 815, 1412, 315, 333, 1341, 262, 266, 25023, 265, 275, 1341, 262, 22065, 266, 25023, 265, 279, 1341, 262, 22065, 266, 25023, 265, 276, 1341, 262, 22065, 266, 25023, 265, 1321, 1341, 262, 22065, 266, 25023, 265, 1321, 1341, 262, 22065, 266, 25023, 265, 1556, 1341, 262, 22065, 266, 25023, 265, 1556, 1341, 262, 22065, 266, 25023, 265, 1321, 1341, 262, 22065, 266, 25023, 265, 1556, 1341, 262, 266, 7055, 825, 1820, 263, 1467, 2020, 825, 3355, 318, 12407, 2678, 28747, 815, 476, 1015, 825, 1948, 7089, 540, 16115, 7229, 538, 519, 14599, 23508, 454, 825, 3259, 5332, 8217, 815, 476, 7003, 3799, 8217, 264, 910, 476, 272, 1948, 20099, 540, 519, 562, 9936, 692, 825, 585, 2990, 538, 2039, 12759, 27562, 8217, 4297, 1384, 1038, 661, 815, 661, 8217, 314, 6570, 316, 1948, 6052, 540, 513, 1978, 7387, 454, 1038, 535, 815, 535, 8217, 314, 6570, 316, 1948, 18001, 540, 513, 1978, 7387, 454, 1038, 7387, 815, 2990, 910, 3355, 318, 12407, 2678, 28747, 1948, 26425, 454, 1038, 681, 815, 681, 8217, 314, 6570, 316, 1948, 7101, 3780, 540, 513, 1978, 7387, 454, 1038, 623, 815, 623, 8217, 314, 6570, 316, 1948, 16242, 540, 513, 1978, 7387, 454, 1038, 570, 815, 570, 8217, 314, 6570, 316, 1948, 18323, 540, 513, 1978, 7387, 454, 1038, 631, 815, 631, 8217, 314, 6570, 316, 1948, 7136, 540, 513, 1978, 7387, 454, 1038, 700, 815, 700, 8217, 314, 6570, 316, 1948, 700, 6058, 13920, 540, 513, 1978, 7387, 692, 1038, 952, 2990, 3436, 3259, 5332, 8217, 281, 1948, 1403, 519, 2990, 568, 8273, 982, 519, 3259, 540, 519, 562, 6724, 1592, 454, 2018, 562, 815, 476, 271, 454, 1038, 3116, 281, 1948, 769, 2013, 568, 711, 8273, 454, 2018, 562, 815, 562, 8217, 314, 6570, 6540, 454, 1038, 661, 318, 2745, 815, 1412, 1923, 1412, 1341, 1193, 27887, 264, 1341, 1412, 1923, 262, 1948, 6052, 2557, 2504, 18935, 1242, 454, 1038, 535, 318, 2745, 815, 1412, 1412, 1341, 1193, 6600, 264, 1341, 1412, 1923, 262, 567, 1948, 18001, 18935, 1242, 454, 1038, 7387, 318, 2745, 815, 1412, 1412, 2608, 630, 275, 910, 7003, 19304, 4433, 17850, 30727, 1341, 1193, 4433, 17850, 264, 1341, 1412, 1923, 262, 1948, 26425, 18935, 1242, 3097, 1038, 681, 318, 2745, 815, 948, 24478, 528, 27562, 267, 476, 1556, 264, 825, 1948, 7101, 3780, 18935, 1242, 454, 1038, 623, 318, 2745, 815, 948, 24478, 528, 27456, 267, 476, 1556, 264, 825, 1948, 16242, 18935, 1242, 454, 1038, 570, 318, 2745, 815, 948, 24478, 528, 24867, 267, 476, 1015, 264, 825, 1948, 18323, 18935, 1242, 454, 1038, 631, 318, 2745, 815, 948, 24478, 528, 29687, 267, 476, 1015, 264, 825, 1948, 7136, 18935, 1242, 454, 1038, 700, 318, 2745, 815, 948, 24478, 528, 27331, 267, 476, 1556, 264, 825, 1948, 700, 6058, 13920, 18935, 1242, 454, 1038, 562, 318, 2745, 815, 948, 24478, 528, 3799, 267, 476, 1015, 264, 825, 1948, 562, 268, 12407, 2678, 18935, 1242, 22562, 1038, 1948, 2398, 6493, 519, 2418, 18935, 1242, 454, 1038, 1820, 27887, 318, 2745, 1341, 535, 318, 2745, 1341, 7387, 318, 2745, 1341, 681, 318, 2745, 1341, 623, 318, 2745, 1341, 570, 318, 2745, 1341, 631, 318, 2745, 1341, 700, 318, 2745, 1341, 562, 318, 2745, 1341, 1899, 2020, 825, 1820, 28361, 333, 17210, 0, 320, 25507, 9272, 2891, 291, 10620, 1003, 541, 592, 513, 281, 8442, 3418, 338, 284, 271, 1477, 1721, 1775, 538, 2039, 263, 272, 28083, 2567, 24541, 825, 952, 16733, 328, 260, 276, 2525, 271, 264, 528, 9217, 260, 274, 2525, 271, 264, 8029, 1038, 521, 23785, 272, 1477, 2745, 2891, 306, 6373, 1003, 699, 3271, 2781, 694, 18836, 3288, 476, 274, 23313, 476, 276, 1609, 324, 24333, 338, 264, 0, 5035, 7033, 518, 24998, 8029, 453, 18851, 11917, 329, 16587, 6446, 27205, 557, 635, 334, 796, 9389, 714, 11456, 267, 12520, 328, 754, 334, 24421, 657, 524, 3385, 2473, 27764, 11391, 334, 23228, 453, 453, 13640, 5451, 5471, 4592, 6769, 4848, 453, 5091, 601, 599, 4534, 595, 3385, 24140, 656, 657, 2113, 1047, 326, 1495, 657, 694, 26982, 699, 12520, 597, 796, 5102, 810, 27969, 1477, 22592, 6449, 8181, 9191, 1345, 267, 9041, 23437, 599, 8029, 453, 19677, 28333, 815, 476, 271, 1477, 453, 19677, 6155, 601, 599, 815, 9041, 23437, 599, 1477, 453, 19677, 6745, 1157, 815, 8771, 5897, 22592, 9337, 4311, 267, 9041, 19049, 8029, 453, 453, 18851, 8002, 783, 21289, 17485, 5057, 525, 1642, 882, 19390, 269, 570, 3711, 328, 26408, 694, 1958, 1173, 320, 632, 12520, 597, 1714, 1477, 4848, 453, 335, 592, 810, 5330, 1304, 324, 19448, 1654, 345, 6446, 554, 11535, 32488, 5964, 1714, 27764, 11391, 334, 683, 806, 9222, 23228, 4848, 453, 13640, 5451, 5471, 4592, 6769, 15235, 453, 5091, 339, 4534, 23621, 11391, 334, 679, 2113, 1047, 326, 1495, 657, 6446, 688, 1098, 2017, 5090, 334, 964, 1372, 6446, 694, 1477, 20930, 453, 961, 600, 6759, 513, 1609, 324, 544, 18863, 29081, 11188, 3331, 374, 2741, 9874, 1654, 345, 27969, 1477, 453, 19677, 6745, 1157, 815, 8771, 1477, 453, 19677, 28333, 6834, 9041, 19049, 1477, 453, 14851, 1582, 28333, 3436, 1582, 6155, 601, 599, 6769, 4848, 19677, 28333, 815, 476, 271, 1477, 4848, 19677, 6745, 1157, 815, 6936, 5897, 22592, 1612, 541, 4311, 8029, 453, 453, 18851, 19547, 1329, 324, 1315, 1763, 564, 20660, 1714, 882, 19390, 27969, 1477, 453, 19677, 28333, 815, 476, 271, 0, 5228, 17511, 1104, 5903, 692, 258, 28859, 351, 502, 418, 366, 350, 419, 506, 489, 418, 485, 480, 454, 258, 4179, 2517, 548, 564, 13892, 2275, 333, 2593, 24579, 21793, 270, 28255, 3146, 18586, 8386, 13463, 697, 13045, 3698, 18949, 20075, 826, 263, 15161, 281, 5903, 314, 8266, 27776, 316, 8079, 9847, 5903, 314, 8266, 27776, 316, 14158, 825, 2132, 7183, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 28258, 815, 20886, 278, 267, 476, 271, 3910, 1496, 275, 267, 476, 275, 3910, 1496, 278, 267, 476, 272, 3910, 1496, 276, 267, 476, 271, 3910, 1496, 277, 267, 476, 272, 3910, 1496, 276, 267, 476, 273, 27663, 825, 1820, 263, 516, 24554, 20075, 826, 263, 760, 4917, 0, 5228, 17511, 1104, 5903, 692, 258, 4179, 2517, 548, 564, 13892, 2275, 333, 2593, 24579, 21793, 8276, 913, 25179, 525, 4882, 889, 332, 3827, 13045, 3698, 1847, 313, 3266, 525, 25225, 281, 5903, 27776, 8079, 9847, 7183, 912, 825, 4994, 267, 1293, 267, 4642, 18045, 815, 476, 271, 267, 7003, 25225, 1070, 476, 271, 454, 825, 1247, 1293, 912, 1038, 952, 15358, 27709, 316, 2652, 476, 271, 912, 2018, 15358, 31927, 263, 271, 994, 2018, 4642, 18045, 6834, 476, 272, 454, 1038, 3116, 912, 2018, 4994, 6834, 476, 272, 454, 1038, 1293, 20699, 476, 272, 454, 825, 15358, 269, 2169, 754, 8443, 271, 316, 2608, 4642, 18045, 9239, 3698, 1847, 313, 3266, 525, 272, 25225, 281, 5903, 27776, 8079, 9847, 7183, 912, 825, 1775, 815, 476, 271, 454, 825, 585, 4994, 538, 2039, 12759, 25225, 15892, 1038, 952, 15358, 27709, 316, 11203, 476, 271, 912, 2018, 15358, 5157, 316, 815, 15358, 27709, 2639, 2018, 1775, 6834, 476, 272, 454, 825, 585, 4994, 538, 2039, 9217, 267, 7003, 25225, 15892, 1038, 15358, 27709, 316, 815, 476, 271, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 15254, 815, 1496, 271, 267, 476, 272, 267, 476, 271, 267, 476, 274, 267, 476, 1321, 2639, 825, 1847, 313, 3266, 525, 272, 263, 12534, 994, 825, 1820, 263, 12534, 994 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 27666, 559, 7514, 16535, 1360, 1134, 543, 1705, 711, 8858, 2589, 540, 21022, 12257, 630, 534, 1117, 8205, 1070, 2566, 267, 610, 12012, 21525, 19318, 2534, 563, 7197, 16113, 267, 7368, 1970, 13066, 540, 27666, 559, 7514, 16535, 8476, 519, 14148, 685, 6043, 547, 2604, 267, 543, 789, 17820, 1447, 31017, 5615, 563, 9827, 267, 606, 2333, 538, 519, 2179, 540, 4296, 547, 519, 555, 31726, 4087, 540, 519, 2247, 267, 799, 5713, 607, 513, 2186, 540, 6882, 585, 938, 3664, 543, 2042, 267, 729, 4767, 563, 1700, 634, 2087, 538, 14479, 547, 519, 555, 31726, 949, 7654, 1291, 547, 938, 8476, 6043, 547, 2604, 4632, 543, 1223, 7866, 1946, 865, 1082, 1004, 2221, 1867, 2318, 4093, 593, 741, 1134, 268, 1326, 1154, 689, 2370, 13066, 540, 20369, 32676, 545, 17228, 563, 288, 8871, 2358, 1715, 13979, 454, 3528, 1797, 540, 519, 1007, 1382, 267, 519, 3173, 723, 1305, 909, 513, 4570, 1062, 602, 666, 581, 8246, 585, 2417, 7634, 883, 519, 4093, 540, 18596, 1360, 1970, 13066, 540, 27666, 559, 7514, 16535, 269, 634, 1353, 849, 561, 1742, 5351, 547, 519, 3833, 513, 1906, 23278, 4973, 8039, 540, 519, 2640, 540, 2890, 323, 3151, 607, 513, 9354, 6304, 563, 1607, 533, 2314, 519, 1259, 585, 29433, 1353, 543, 1034, 2693, 7357, 1007, 2994, 547, 8156, 1585, 2790, 2152, 563, 1700, 634, 8476, 2566, 543, 8082, 538, 2413, 2486, 4867, 723, 2322, 513, 7347, 8561, 593, 2890, 323, 3151, 267, 1292, 547, 513, 10006, 538, 519, 4123, 540, 17228, 269, 8315, 713, 4990, 540, 607, 519, 13814, 267, 5245, 267, 519, 2974, 320, 267, 543, 4516, 723, 7654, 3656, 1242, 610, 616, 538, 519, 1062, 540, 3656, 1944, 27666, 559, 7514, 16535, 585, 9354, 5650, 267, 5267, 631, 1731, 6130, 6022, 1676, 563, 1700, 898, 568, 267, 3976, 267, 4105, 602, 649, 5431, 519, 2360, 543, 25246, 2164, 540, 891, 6878, 267, 799, 616, 676, 1631, 7494, 1500, 946, 540, 676, 2043, 1472, 519, 4541, 563, 19102, 1078, 1290, 2181, 9150, 532, 609, 31621, 454, 300, 1731, 6130, 6022, 1676, 1500, 606, 7279, 538, 4974, 20369, 32676, 545, 6878, 543, 27666, 559, 7514, 16535, 950, 646, 5030, 538, 28541, 9503, 267, 4993, 267, 22221, 5756, 1394, 543, 14754, 519, 10006, 540, 1582, 14194, 9330, 618, 5773, 602, 21959, 1229, 1713, 2923, 3007, 543, 19430, 1454, 811, 1004, 2221, 547, 4603, 609, 2890, 323, 3151, 563, 1700, 2368, 2835, 723, 1044, 3370, 602, 2442, 1242, 519, 6240, 540, 2324, 609, 4130, 13066, 540, 20369, 32676, 923, 547, 4308, 609, 519, 1079, 2790, 13542, 543, 3986, 10342, 269, 901, 6273, 803, 547, 1376, 519, 4161, 594, 4076, 1044, 13991, 547, 585, 519, 4505, 3670, 1082, 1296, 267, 5267, 631, 1731, 6130, 6022, 1676, 563, 1700, 3767, 267, 649, 666, 6430, 519, 3617, 18262, 538, 14148, 267, 7175, 721, 547, 4983, 519, 2360, 540, 2890, 323, 3151, 267, 799, 1223, 15186, 3356, 938, 1620, 540, 519, 2247, 543, 2790, 19048, 269, 901, 12374, 1312, 540, 1346, 519, 9015, 540, 2257, 543, 2413, 2486, 693, 1713, 563, 10666, 713, 2618, 2684, 29108, 1108, 2079, 3377, 454, 310, 31581, 281, 631, 4115, 928, 17389, 2142, 14982, 454, 13126, 281, 2160, 540, 8828, 16862, 454, 7476, 3180, 540, 281, 631, 4115, 928, 17389, 2142, 14982, 1107, 2160, 540, 8828, 16862, 454, 303, 27348, 281, 634, 8642, 568, 20295, 547, 29249, 5240, 454, 5575, 27148, 281, 1849, 2216, 1569, 563, 2108, 13434, 584, 2590, 2539, 13066, 540, 27666, 559, 7514, 16535, 2333, 6043, 547, 2566, 267, 4389, 31017, 3527, 267, 543, 24772, 9729, 673, 4296, 547, 519, 1612, 822, 550, 14152, 555, 15401, 545, 13540, 538, 14148, 892, 676, 631, 1731, 6130, 6022, 1676, 1696, 620, 269, 17449, 24741, 454, 13434, 584, 2590, 2539, 13066, 540, 27666, 559, 7514, 16535, 2087, 6043, 547, 8833, 267, 2539, 31017, 3527, 267, 543, 6830, 1518, 9729, 673, 4296, 547, 519, 1612, 822, 550, 14152, 555, 15401, 545, 13540, 538, 14148, 454, 11679, 559, 7514, 16535, 630, 320, 1455, 1583, 582, 517, 21544, 20369, 32676, 545, 3075, 264, 814, 6591, 813, 26150, 585, 946, 538, 20369, 32676, 545, 29374, 16185, 540, 3833, 513, 1906, 17867, 4713, 269, 589, 14320, 1447, 8268, 1888, 19048, 519, 946, 540, 7368, 1970, 13066, 540, 20369, 32676, 923, 267, 693, 513, 9570, 602, 568, 23182, 9944, 519, 20369, 32676, 545, 9570, 3351, 2213, 538, 20369, 32676, 545, 29374, 3797, 543, 1419, 5219, 547, 607, 2890, 323, 3151, 563, 11679, 559, 7514, 16535, 2890, 323, 846, 18046, 5781, 1867, 12651, 538, 5626, 9716, 267, 2705, 713, 4990, 540, 5359, 616, 1419, 2731, 21678, 543, 11630, 547, 21897, 4539, 563, 1103, 713, 2376, 649, 3715, 543, 19472, 513, 27666, 559, 7514, 16535, 2890, 323, 846, 6438, 6296, 538, 14148, 609, 7368, 4389, 13066, 540, 27666, 559, 7514, 16535, 7245, 693, 513, 9570, 6508, 689, 5003, 3599, 693, 3731, 2247, 476, 276, 6953, 307, 273, 288, 13364, 538, 24155, 563, 763, 14148, 7109, 730, 519, 18596, 8766, 13066, 540, 27666, 559, 7514, 16535, 1134, 543, 1705, 711, 8915, 10832, 540, 606, 1117, 8205, 267, 11784, 267, 610, 12012, 21525, 19318, 2534, 269, 1703, 941, 1373, 1100, 22907, 538, 840, 1790, 592, 572, 22629, 540, 519, 1376, 548, 16846, 267, 6862, 1705, 519, 2126, 1505, 1524, 2958, 3634, 610, 964, 31731, 1125, 519, 476, 276, 6953, 307, 273, 288, 13364, 563, 15239, 11383, 267, 519, 7368, 8766, 13066, 540, 27666, 559, 7514, 16535, 791, 14975, 6043, 1996, 519, 8833, 540, 2789, 1016, 12827, 10389, 24409, 267, 543, 21022, 519, 4908, 540, 1582, 3766, 3336, 532, 267, 513, 21285, 585, 1480, 31017, 3268, 267, 4352, 849, 3395, 476, 276, 6953, 307, 278, 13805, 4082, 543, 5348, 25443, 5860, 538, 519, 1612, 822, 550, 14152, 13540, 540, 519, 555, 31726, 269, 1452, 3803, 2164, 1628, 513, 1360, 1134, 268, 20777, 730, 6296, 585, 1256, 811, 6901, 2625, 532, 519, 2360, 540, 18596, 4389, 13066, 540, 27666, 559, 7514, 16535, 563, 11073, 3699, 811, 6086, 5573, 23278, 4973, 2090, 540, 519, 2318, 3344, 540, 27666, 559, 7514, 16535, 2890, 323, 3151, 607, 513, 9354, 6304, 267, 1247, 15738, 547, 513, 15164, 12214, 1062, 269, 0, 763, 2518, 1426, 543, 20892, 5823, 568, 835, 540, 519, 9510, 6080, 538, 519, 1158, 269, 4653, 267, 519, 2872, 568, 4502, 1269, 277, 269, 272, 2558, 11669, 20430, 11451, 269, 1280, 5553, 267, 1426, 543, 20892, 4123, 1185, 1044, 13856, 676, 2168, 8637, 267, 24218, 267, 543, 1163, 657, 269, 2353, 602, 4957, 950, 519, 6855, 13351, 563, 5472, 9922, 540, 519, 5001, 4346, 941, 22314, 676, 519, 6855, 538, 835, 1259, 610, 1776, 269, 634, 5253, 543, 30094, 720, 2872, 729, 1851, 519, 1034, 16094, 12936, 269, 1879, 12062, 538, 1747, 4507, 941, 24451, 267, 6808, 547, 14060, 543, 22538, 525, 3576, 513, 5734, 269, 769, 5824, 3013, 267, 6808, 17379, 676, 476, 4037, 9077, 1247, 3345, 3013, 543, 519, 5664, 5101, 4718, 513, 476, 3445, 260, 7771, 3379, 547, 840, 1790, 663, 2438, 2157, 563, 12234, 267, 519, 5253, 543, 30094, 720, 2872, 12346, 8185, 593, 1175, 2987, 6066, 17825, 269, 901, 2203, 568, 4998, 950, 4238, 616, 3339, 267, 543, 666, 1256, 16641, 513, 1978, 1377, 540, 24187, 1369, 519, 3761, 5832, 269, 1809, 267, 519, 1377, 540, 2518, 3761, 5832, 21463, 2813, 676, 519, 6855, 666, 581, 29070, 563, 5472, 891, 2188, 723, 3773, 909, 543, 3366, 547, 5008, 999, 610, 2804, 9271, 585, 5215, 540, 14060, 267, 13063, 267, 543, 1256, 930, 2168, 17365, 8637, 1282, 519, 6855, 563, 293, 6136, 267, 519, 2887, 719, 689, 519, 6855, 7012, 1406, 782, 798, 558, 543, 1350, 7112, 269, 2755, 6808, 547, 14060, 543, 2168, 8637, 17379, 267, 16450, 593, 519, 4950, 19806, 15701, 269, 2311, 519, 4463, 540, 519, 6855, 267, 513, 3791, 540, 6800, 10288, 14770, 625, 2228, 267, 476, 6078, 260, 540, 7247, 941, 3257, 621, 585, 519, 1101, 942, 269, 634, 13418, 540, 2348, 14770, 625, 9447, 547, 519, 4395, 7450, 568, 2693, 547, 2490, 2228, 17365, 10918, 883, 513, 1279, 3856, 4356, 563, 1607, 7678, 7012, 1406, 3908, 547, 1175, 10685, 269, 4340, 547, 21025, 514, 8124, 267, 827, 476, 3583, 260, 540, 645, 273, 289, 3375, 24237, 723, 15468, 538, 2648, 609, 1818, 9753, 20716, 269, 1656, 713, 3884, 1406, 513, 535, 611, 267, 827, 476, 8660, 260, 1544, 547, 3136, 1818, 645, 273, 289, 16306, 20716, 585, 519, 5420, 2165, 563, 763, 1292, 8756, 540, 1082, 1426, 543, 20892, 12696, 585, 16565, 5561, 814, 1044, 11504, 2168, 4123, 2621, 543, 24218, 269, 3509, 4213, 16153, 713, 1935, 666, 581, 5734, 610, 4413, 267, 2356, 4163, 513, 2462, 1942, 547, 7390, 267, 543, 6038, 14427, 22356, 11401, 543, 16395, 666, 693, 2053, 1267, 538, 1906, 9753, 563, 25748, 267, 538, 16512, 24218, 723, 3648, 1044, 4299, 676, 519, 6855, 269, 9182, 267, 14273, 4503, 4296, 609, 741, 5561, 269, 1879, 519, 6855, 5734, 267, 8744, 609, 621, 2518, 3761, 5832, 21463, 267, 19394, 2168, 6808, 267, 543, 9376, 23957, 267, 14273, 4956, 547, 2285, 2228, 21625, 267, 971, 607, 1325, 756, 19487, 2593, 267, 513, 2119, 269, 4634, 1498, 1082, 4213, 2015, 2933, 10509, 5260, 11803, 267, 972, 941, 22027, 827, 552, 1260, 12692, 1373, 513, 1434, 4316, 585, 873, 269, 3509, 538, 519, 1439, 941, 27057, 14281, 676, 519, 20498, 2164, 563, 1103, 5412, 476, 1708, 272, 267, 1325, 756, 19487, 2593, 18799, 606, 2228, 4123, 1397, 267, 6820, 5253, 543, 30094, 720, 19139, 269, 901, 2680, 12286, 476, 272, 267, 7785, 4803, 6002, 689, 782, 936, 519, 1158, 543, 7604, 1078, 936, 476, 28434, 267, 1822, 1426, 543, 20892, 2472, 269, 898, 4547, 27147, 9753, 267, 1519, 1082, 9753, 689, 2477, 28870, 2066, 519, 1158, 1107, 513, 1267, 1082, 4803, 6002, 5433, 729, 1985, 547, 7543, 547, 3035, 693, 513, 2168, 4123, 1397, 563, 12648, 707, 1426, 543, 20892, 1870, 547, 519, 1985, 1377, 676, 19855, 593, 1325, 756, 19487, 2593, 1426, 543, 20892, 533, 822, 559, 542, 2221, 269, 0, 20524, 519, 570, 644, 832, 281, 8361, 24163, 454, 24246, 713, 543, 707, 1153, 4991, 24843, 273, 269, 1015, 547, 6108, 593, 2835, 2107, 10249, 540, 24843, 736, 610, 811, 786, 7118, 476, 736, 260, 540, 707, 1931, 1871, 1394, 538, 7647, 2880, 25166, 1841, 585, 707, 1153, 563, 1607, 1587, 814, 711, 1044, 15951, 2943, 563, 271, 8039, 630, 11754, 513, 2689, 994, 8005, 729, 8361, 24163, 286, 1879, 1705, 646, 12081, 286, 4208, 729, 646, 1271, 286, 13028, 519, 570, 31122, 1158, 998, 519, 1272, 540, 513, 1158, 1922, 13904, 16313, 267, 689, 1010, 6107, 607, 513, 1416, 16451, 543, 2442, 19036, 547, 1010, 2669, 607, 513, 10795, 1119, 7949, 269, 8361, 729, 7715, 2740, 538, 476, 5611, 280, 1107, 513, 1762, 267, 3946, 727, 14610, 945, 6068, 5026, 267, 2575, 543, 6965, 269, 3571, 20662, 880, 10424, 5480, 729, 513, 7524, 13398, 540, 905, 6814, 267, 6968, 338, 267, 30145, 543, 4663, 23788, 269, 1809, 1287, 8361, 8604, 547, 2490, 547, 519, 4158, 2427, 281, 4358, 10617, 267, 804, 4770, 609, 519, 7826, 5939, 543, 16213, 11735, 1010, 24726, 269, 1548, 5949, 1107, 543, 1946, 286, 4855, 856, 2336, 268, 1323, 13181, 1413, 693, 519, 1883, 8090, 538, 8361, 779, 12081, 454, 268, 5696, 902, 519, 570, 31122, 1158, 547, 1272, 538, 12667, 1257, 543, 11247, 454, 268, 26812, 3215, 2621, 971, 607, 519, 29855, 540, 519, 6307, 14986, 454, 268, 589, 2241, 1101, 19214, 540, 8361, 24163, 779, 1950, 1915, 454, 274, 4281, 276, 538, 12140, 18280, 4084, 476, 1708, 274, 1700, 2190, 454, 1607, 1587, 814, 711, 1044, 12649, 2943, 563, 11754, 513, 2689, 454, 20578, 619, 849, 11751, 454, 268, 9710, 12288, 2876, 1559, 281, 6833, 337, 4328, 570, 644, 832, 454, 24589, 760, 781, 681, 14899, 12708, 3427, 25304, 454, 6347, 12717, 8871, 334, 2139, 454, 295, 528, 12288, 2876, 1559, 281, 6833, 12288, 570, 644, 832, 454, 268, 6153, 9519, 631, 3563, 8751, 454, 268, 4208, 1684, 1284, 5457, 286, 24053, 674, 1177, 7719, 543, 519, 25511, 335, 32535, 18140, 454, 295, 528, 12288, 2876, 1559, 281, 590, 3916, 344, 853, 340, 11301, 630, 2908, 4944, 1653, 7160, 994, 290, 548, 641, 21358, 281, 2290, 15346, 10348, 454, 295, 528, 12288, 2876, 1559, 281, 717, 5282, 748, 9677, 2103, 630, 2908, 4944, 1653, 7160, 994, 295, 528, 12288, 17323, 281, 23566, 344, 16661, 454, 268, 1635, 18007, 534, 543, 962, 1168, 454, 268, 19088, 1108 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5549, 1923, 22910, 4266, 281, 476, 4905, 270, 2767, 270, 1001, 275, 298, 26295, 1433, 3877, 281, 28632, 9990, 267, 476, 5325, 273, 3817, 454, 2252, 596, 1616, 513, 1433, 602, 781, 2653, 547, 1246, 543, 786, 1397, 596, 875, 547, 1628, 513, 11080, 2780, 689, 1376, 547, 9096, 267, 1287, 713, 568, 519, 835, 585, 596, 20136, 1433, 568, 2854, 538, 606, 1412, 324, 6470, 547, 1174, 262, 6073, 602, 786, 1491, 596, 998, 782, 2780, 2694, 14350, 547, 948, 596, 3442, 1142, 2780, 5057, 269, 1703, 781, 849, 948, 2429, 713, 1433, 593, 7446, 2298, 2780, 3334, 543, 513, 3391, 593, 16116, 856, 513, 4528, 540, 8837, 269, 7053, 267, 972, 781, 513, 3391, 593, 875, 547, 1628, 513, 11080, 2780, 543, 875, 547, 3888, 8837, 476, 1015, 563, 13775, 676, 281, 6424, 13669, 332, 720, 1923, 22910, 4266, 281, 476, 4905, 270, 2641, 270, 1001, 277, 298, 26295, 1433, 3877, 281, 28632, 9990, 267, 476, 5611, 3817, 0, 293, 4181, 7051, 590, 2438, 13503, 528, 593, 11728, 568, 21048, 4979, 513, 1007, 1379, 7503, 2029, 602, 519, 13863, 20447, 3081, 786, 13497, 3986, 519, 4398, 540, 3859, 2281, 543, 824, 3457, 676, 3850, 873, 547, 7500, 693, 1970, 28696, 563, 6546, 1797, 513, 2582, 3859, 1591, 7923, 547, 513, 5985, 6049, 610, 824, 1688, 18988, 3926, 1223, 5279, 519, 31942, 269, 634, 8273, 1761, 568, 547, 11694, 519, 5201, 6383, 689, 31241, 641, 3859, 8440, 269, 799, 3335, 2270, 513, 18797, 610, 811, 3859, 2281, 1142, 269, 1879, 513, 6531, 610, 513, 3529, 18707, 851, 540, 513, 3859, 8470, 267, 1379, 3977, 689, 782, 519, 3859, 2281, 12772, 1317, 789, 616, 5532, 1927, 269, 1635, 10128, 674, 4181, 7051, 779, 1379, 20303, 883, 1142, 3859, 1591, 267, 1346, 602, 5749, 1406, 26484, 666, 1869, 3132, 5201, 267, 2687, 547, 1488, 2006, 18491, 6409, 328, 267, 2489, 9614, 540, 674, 4181, 1446, 779, 1323, 11530, 267, 24908, 4149, 793, 531, 1299, 5295, 10406, 563, 6546, 779, 1317, 1142, 3859, 1591, 666, 7500, 693, 1454, 2539, 28696, 950, 674, 4181, 7051, 779, 630, 12396, 299, 264, 20303, 568, 1031, 269, 2755, 1034, 11418, 991, 513, 795, 27117, 540, 476, 10384, 1984, 643, 565, 1206, 547, 2253, 2324, 267, 674, 4181, 7051, 779, 2029, 2636, 873, 547, 7500, 593, 607, 2370, 607, 476, 17168, 1984, 643, 565, 1206, 269, 630, 8450, 3381, 2630, 8094, 306, 2432, 2520, 2131, 344, 855, 519, 4539, 1223, 581, 2484, 8573, 4474, 267, 4227, 5201, 4616, 543, 6679, 519, 7450, 547, 513, 1007, 5108, 540, 3859, 14617, 3457, 269, 2290, 2462, 19224, 548, 547, 1210, 3859, 2281, 547, 1379, 3388, 689, 24195, 547, 8265, 8279, 568, 602, 621, 3217, 1932, 1082, 540, 873, 547, 3132, 2614, 1379, 547, 581, 1316, 27809, 269, 2991, 782, 267, 945, 779, 2469, 547, 4163, 1472, 513, 3859, 8470, 547, 5279, 741, 5839, 9349, 563, 293, 4181, 7051, 779, 2029, 1223, 1689, 602, 3830, 269, 968, 2690, 3236, 267, 596, 9327, 1406, 723, 547, 2322, 513, 6007, 538, 513, 25880, 7450, 1930, 518, 1107, 1175, 1039, 513, 3859, 14816, 593, 519, 6552, 1852, 2223, 24910, 3474, 618, 518, 267, 513, 674, 4181, 7051, 3156, 4702, 9614, 267, 5143, 5682, 654, 4861, 520, 269, 630, 306, 4461, 2426, 2063, 3018, 9307, 621, 1131, 1376, 9513, 513, 5985, 6049, 630, 874, 9369, 1657, 264, 9280, 609, 513, 3859, 8470, 855, 621, 779, 15458, 1175, 875, 1454, 2911, 610, 1257, 532, 942, 621, 1131, 1450, 8094, 8448, 3096, 616, 811, 1414, 30235, 281, 1582, 14617, 23282, 839, 832, 602, 7148, 519, 2029, 547, 7556, 19355, 3002, 610, 11508, 538, 519, 1604, 563, 763, 20303, 786, 5734, 519, 2344, 538, 519, 2034, 3368, 540, 476, 1220, 280, 269, 15783, 5561, 1331, 3859, 1591, 15670, 899, 6129, 20175, 630, 9915, 310, 6938, 264, 543, 2672, 660, 3663, 630, 4306, 303, 264, 607, 1134, 607, 24118, 3549, 543, 8878, 25255, 269, 674, 4181, 7051, 267, 2212, 32483, 1229, 538, 21388, 267, 7147, 267, 729, 838, 684, 856, 540, 16359, 7637, 630, 300, 5588, 264, 538, 476, 1220, 275, 563, 17606, 2731, 2337, 519, 3003, 3039, 3350, 2223, 3081, 18491, 6409, 328, 269, 968, 2171, 616, 7487, 513, 16854, 1719, 689, 6266, 540, 2127, 13840, 649, 723, 2760, 20109, 610, 5129, 538, 1848 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15912, 281, 2343, 22929, 12289, 267, 835, 8929, 267, 4108, 2639, 13932, 279, 1913, 630, 275, 269, 278, 3817, 994, 268, 589, 812, 4991, 513, 3903, 1063, 23842, 606, 17581, 585, 1863, 267, 609, 513, 4945, 540, 513, 7735, 610, 6117, 1524, 547, 513, 2575, 4558, 543, 9878, 1269, 1428, 585, 519, 1482, 17581, 267, 543, 4881, 519, 1981, 540, 711, 4466, 602, 17581, 693, 782, 269, 1548, 786, 3442, 269, 769, 476, 1960, 280, 267, 1530, 534, 26436, 267, 3627, 674, 8911, 543, 1744, 11921, 674, 8911, 2919, 513, 3896, 1572, 2048, 301, 777, 3122, 685, 799, 1101, 5189, 721, 547, 519, 1034, 1271, 2460, 540, 2575, 533, 16820, 538, 519, 2413, 1158, 267, 1572, 519, 5769, 269, 5131, 2575, 729, 1373, 3838, 998, 1797, 540, 5769, 543, 2029, 267, 543, 594, 9244, 3494, 602, 713, 729, 519, 4098, 540, 519, 1869, 3395, 2360, 540, 2575, 533, 16820, 2807, 1496, 15912, 281, 23842, 267, 2575, 267, 23040, 3122, 2639, 10711, 276, 1913, 630, 276, 269, 279, 3817, 994, 268, 11473, 10794, 20222, 590, 1706, 802, 7464, 2622, 2552, 7337, 344, 589, 10978, 11523, 30172, 998, 513, 1153, 10689, 3118, 543, 1018, 8604, 547, 581, 513, 12560, 1554, 540, 2069, 267, 2490, 883, 513, 3992, 538, 9810, 543, 4250, 269, 1280, 1296, 267, 1153, 1644, 5208, 814, 2141, 1044, 593, 519, 3349, 585, 7521, 269, 2986, 782, 519, 3584, 602, 2097, 909, 267, 519, 835, 602, 16716, 4250, 543, 11784, 883, 519, 12271, 540, 1082, 568, 513, 1153, 15246, 269, 1879, 835, 4386, 267, 1004, 616, 538, 513, 535, 1066, 5414, 547, 4137, 856, 782, 519, 1344, 607, 3533, 607, 789, 666, 269, 1306, 513, 1267, 267, 1082, 11263, 1205, 11329, 538, 782, 12204, 540, 8846, 2807, 1496, 15912, 281, 1153, 9496, 902, 267, 15257, 2639, 16409, 275, 1913, 630, 275, 269, 273, 3817, 994, 268, 476, 4792, 2929, 1296, 3516, 513, 4557, 9481, 518, 2647, 20503, 1793, 25428, 883, 6792, 267, 6028, 513, 476, 11260, 9481, 518, 2647, 28188, 593, 519, 3618, 779, 2627, 269, 901, 16580, 3361, 519, 14486, 540, 476, 3583, 260, 540, 782, 2249, 602, 20948, 519, 3618, 267, 1519, 519, 17878, 269, 634, 3618, 814, 11478, 585, 5111, 476, 275, 269, 276, 5479, 1296, 269, 12207, 616, 3366, 547, 3494, 602, 519, 3618, 814, 11402, 2947, 2527, 970, 18728, 267, 1175, 607, 519, 17878, 4810, 269, 7073, 1554, 3744, 543, 3504, 7239, 3494, 602, 519, 15795, 14486, 568, 4166, 547, 4755, 2807, 1496, 15912, 281, 7736, 8648, 2639, 21076, 274, 1913, 630, 277, 3817, 264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1403, 596, 3274, 7048, 593, 6679, 9486, 585, 14910, 267, 711, 1152, 786, 621, 711, 723, 519, 1198, 540, 22729, 267, 855, 621, 786, 3362, 1450, 9205, 5533, 2959, 602, 616, 4881, 1472, 543, 22867, 10963, 547, 4283, 519, 4055, 563, 4263, 713, 942, 267, 1152, 835, 2011, 1625, 8595, 666, 1118, 11255, 5739, 6878, 723, 24076, 547, 9101, 267, 543, 4195, 2011, 666, 3262, 547, 1169, 7944, 563, 8505, 4379, 543, 5162, 616, 519, 1034, 26130, 12405, 269, 6129, 2775, 6368, 10301, 519, 3618, 998, 519, 9465, 540, 6106, 540, 11626, 12269, 267, 855, 621, 568, 1869, 17808, 676, 1159, 690, 269, 1879, 596, 12687, 909, 538, 519, 6640, 267, 596, 666, 1405, 1294, 519, 3141, 267, 543, 782, 596, 666, 1294, 568, 688, 2763, 269, 13983, 564, 902, 593, 519, 8265, 666, 1152, 581, 4857, 676, 741, 9739, 269, 898, 7140, 856, 602, 1004, 849, 1205, 771, 528, 14314, 1282, 519, 1554, 907, 4014, 519, 9633, 666, 17401, 16833, 519, 5023, 543, 9224, 267, 621, 568, 1360, 2352, 547, 13236, 693, 519, 1482, 942, 267, 543, 621, 568, 711, 5078, 585, 1279, 3856, 5957, 563, 2005, 568, 5227, 547, 946, 606, 2011, 1625, 8595, 16280, 267, 799, 666, 581, 5828, 593, 609, 835, 1883, 267, 543, 568, 2653, 547, 7500, 269, 634, 2027, 6882, 666, 3362, 6882, 6757, 6878, 543, 13596, 267, 543, 519, 19288, 543, 17883, 616, 811, 9488, 543, 10930, 563, 8070, 942, 281, 9947, 268, 1556, 268, 1708, 273, 0, 2026, 4079, 267, 649, 1419, 21523, 576, 827, 938, 5172, 6689, 2835, 543, 519, 3197, 602, 8032, 721, 269, 1656, 1247, 2984, 723, 513, 1259, 540, 9363, 609, 721, 1279, 1310, 649, 4076, 6806, 741, 3817, 267, 621, 779, 1419, 519, 10530, 1369, 873, 602, 5963, 13469, 563, 5804, 519, 627, 15501, 673, 8941, 540, 3220, 269, 1530, 1380, 547, 519, 2295, 342, 9879, 27825, 540, 10162, 12245, 667, 22844, 267, 1453, 779, 1433, 4589, 723, 22064, 721, 609, 606, 11606, 540, 12300, 3515, 2429, 519, 1296, 563, 1103, 713, 2376, 267, 649, 3580, 1491, 513, 1413, 1394, 693, 930, 540, 519, 1655, 1453, 779, 1433, 10530, 602, 3136, 547, 8300, 721, 2221, 563, 3383, 1694, 1394, 267, 6001, 267, 543, 1577, 891, 1913, 3560, 596, 547, 10600, 4904, 609, 9345, 543, 4898, 563, 2108, 4462, 1652, 25126, 6145, 1411, 595, 4100, 589, 19940, 21220, 995, 20769, 267, 23875, 1772, 24613, 1677, 5192, 14568, 269, 898, 779, 3502, 1848, 1107, 3220, 269, 1530, 1380, 267, 634, 31240, 1314, 454, 303, 3285, 748, 15090, 3149, 540, 7326, 666, 581, 1336, 538, 519, 3817, 540, 1453, 779, 2835, 269, 2290, 971, 17576, 568, 689, 3220, 269, 1530, 1380, 685, 634, 31240, 1314, 281, 2048, 4462, 1652, 2576, 899, 596, 30128, 513, 2898, 1659, 995, 2603, 267, 4986, 568, 2469, 547, 1205, 1732, 269, 898, 779, 711, 19028, 1607, 2241, 855, 3532, 8360, 19595, 721, 602, 1689, 6238, 609, 835, 1268, 543, 741, 18515, 547, 1491, 2962, 269, 1879, 649, 1416, 7184, 827, 1945, 267, 938, 3527, 3717, 21514, 1457, 982, 1913, 269, 1284, 1831, 811, 13730, 267, 9141, 267, 543, 8149, 547, 1818, 1919, 1318, 563, 12024, 519, 31240, 1314, 945, 14753, 585, 519, 4054, 267, 649, 1932, 666, 946, 938, 9739, 547, 1118, 513, 3017, 538, 519, 1158, 1472, 721, 269, 1924, 1577, 713, 10839, 4196, 607, 513, 9543, 562, 19276, 585, 782, 540, 721, 547, 1416, 1175, 513, 2370, 3787, 811, 1317, 945, 6487, 1018, 2318, 2242, 1223, 2097, 689, 621, 888, 2026, 649, 3136, 593, 713, 3460, 998, 11121, 1453, 779, 1433, 10530, 267, 3314, 713, 1985, 835, 689, 10162, 12245, 667, 22844, 779, 667, 15967, 519, 19598, 542, 540, 519, 2622, 281, 2048, 2791, 723, 1369, 596, 1318, 1631, 267, 3388, 596, 991, 547, 4308, 609, 8726, 519, 1158, 666, 12235, 693, 596, 19028, 4322, 16779, 1913, 7618, 721, 602, 649, 616, 5827, 540, 20408, 1022, 21677, 16207, 938, 1259, 950, 649, 7148, 883, 938, 6418, 4222, 543, 6043, 269, 2913, 891, 1913, 581, 513, 12576, 602, 1100, 2339, 875, 18447, 1272, 949, 3100, 267, 649, 4865, 606, 2150, 11474, 1761, 7996, 547, 581, 8246, 563, 2108, 2791, 5620, 10738, 1411, 9406, 3767, 267, 18421, 1411, 10261, 1677, 20958, 2060, 21894, 634, 2622, 2052, 774, 992, 2311, 1411, 1848, 1107, 10162, 12245, 667, 22844, 267, 667, 15967, 634, 19598, 542, 2986, 634, 2622, 454, 305, 334, 12245, 667, 22844, 779, 10839, 689, 667, 15967, 519, 19598, 542, 540, 519, 2622, 568, 513, 3532, 12576, 602, 649, 782, 723, 1018, 621, 3217, 547, 3068, 1272, 779, 2591, 269, 898, 7512, 1453, 547, 3494, 538, 2933, 543, 3972, 741, 5759, 269, 634, 1158, 666, 581, 606, 20437, 1747, 267, 855, 713, 10839, 19595, 721, 602, 649, 616, 5827, 540, 7829, 8726, 2501, 938, 1259, 563, 2026, 1453, 1332, 909, 267, 789, 786, 17216, 7237, 9465, 543, 22303, 269, 1717, 267, 609, 1582, 1532, 601, 3971, 543, 8990, 267, 789, 666, 7753, 1022, 19224, 548, 269, 901, 10839, 689, 10162, 12245, 667, 22844, 568, 711, 1152, 10858, 547, 1453, 855, 849, 5713, 607, 513, 3407, 3992, 585, 4079, 1932, 1107, 22348, 721, 602, 649, 1058, 2760, 30391, 6000, 610, 2285, 909, 593, 938, 9909, 563, 763, 811, 602, 596, 1224, 267, 519, 811, 1919, 596, 786, 917, 269, 634, 811, 602, 596, 1451, 267, 519, 811, 4025, 596, 3580, 979, 10200, 1452, 11599, 3515, 676, 3220, 2529, 324, 1380, 689, 594, 2052, 3367, 2060, 3733, 28438, 1744, 583, 256, 9985, 20206, 3634, 519, 1379, 540, 2542, 543, 1565, 563, 20091, 10741, 9885, 547, 1007, 10600, 543, 2833, 267, 3376, 2287, 938, 20030, 3564, 2268, 269, 1635, 8716, 1453, 547, 1020, 513, 2648, 585, 2542, 693, 606, 2038, 2085, 267, 649, 16491, 873, 609, 1898, 2645, 2877, 585, 1967, 1312, 27268, 543, 538, 4948, 1272, 563, 10527, 2859, 2334, 1411, 3367, 267, 634, 2859, 12085, 1411, 4024, 5700, 269, 634, 2859, 2334, 1411, 6258, 267, 634, 2859, 23089, 1411, 3580, 3619, 1848, 1107, 3220, 269, 1530, 1380, 267, 594, 2052, 3367, 2060, 3733, 28438, 1744, 583, 2336, 2026, 596, 11523, 1930, 519, 3817, 540, 513, 1433, 267, 621, 779, 899, 19480, 883, 513, 9589, 1158, 269, 2659, 2247, 3217, 8184, 543, 707, 9345, 865, 1513, 607, 596, 2263, 1007, 3338, 267, 2743, 4241, 3197, 267, 543, 1451, 6909, 1919, 269, 634, 811, 602, 596, 1224, 267, 519, 811, 713, 7122, 21040, 1354, 596, 1107, 609, 1169, 2985, 2490, 2501, 513, 5763, 540, 1702, 543, 7045, 7996, 547, 581, 4362, 563, 3719, 2542, 3884, 1406, 1175, 827, 7213, 6819, 5013, 610, 29400, 4641, 282, 621, 849, 2337, 721, 1294, 519, 1158, 538, 1007, 543, 7096, 2081, 269, 1306, 3220, 269, 1530, 1380, 19595, 721, 267, 2048, 763, 811, 602, 596, 1451, 267, 519, 811, 4025, 596, 3580, 979, 19028, 20091, 11414, 6568, 267, 8296, 267, 543, 1620, 1107, 7907, 649, 991, 1631, 811, 982, 2479, 269, 1656, 607, 4165, 334, 710, 632, 12142, 268, 2750, 1575, 2946, 787, 11339, 538, 634, 9741, 13584, 267, 2048, 2005, 568, 1152, 609, 519, 2295, 602, 835, 666, 1294, 1318, 569, 282, 1018, 568, 1898, 568, 15865, 547, 519, 3750, 19028, 3383, 1577, 779, 1832, 7432, 1346, 3817, 267, 3376, 2287, 938, 20030, 1312, 1369, 6000, 543, 3564, 563, 17606, 1772, 8307, 2060, 634, 9839, 2334, 2290, 2052, 6423, 681, 4774, 282, 1548, 1772, 12708, 1772, 769, 6665, 1043, 1677, 634, 16685, 1848, 1107, 4165, 334, 710, 1546, 12142, 268, 2750, 1575, 2946, 787, 267, 634, 9741, 13584, 454, 2005, 779, 865, 3020, 602, 1018, 779, 1898, 666, 1406, 581, 2938, 609, 519, 3750, 1700, 527, 3217, 519, 2295, 547, 5431, 621, 563, 8450, 532, 609, 519, 2295, 3947, 721, 513, 1114, 5133, 593, 1919, 563, 3725, 958, 1620, 1945, 3340, 3168, 3564, 1018, 779, 7298, 543, 2469, 4514, 609, 519, 2295, 563, 3080, 540, 519, 1034, 4241, 543, 10578, 3344, 538, 1453, 779, 2835, 568, 519, 1523, 540, 1045, 529, 2225, 269, 898, 2636, 3197, 547, 1847, 998, 741, 10450, 32373, 539, 267, 7175, 873, 547, 7198, 2621, 602, 1131, 6382, 581, 7543, 563, 12648, 585, 1383, 808, 14389, 18007, 1782, 779, 16452, 25260, 3126, 267, 1141, 519, 27972, 752, 540, 1045, 529, 2225, 4249, 513, 2629, 1909, 538, 4543, 16452, 543, 1010, 2828, 593, 3875, 14026, 2429, 741, 9035, 693, 670, 690, 342, 11301, 563, 3719, 621, 779, 711, 1175, 827, 2168, 1045, 529, 2225, 282, 972, 616, 849, 8320, 1141, 1373, 15865, 1797, 2469, 29462, 610, 4743, 15763, 269, 901, 6249, 814, 1044, 8268, 538, 1082, 1114, 2984, 971, 607, 634, 769, 6665, 1043, 15196, 676, 2558, 644, 344, 32400, 267, 799, 8711, 875, 1271, 621, 568, 547, 11760, 543, 1331, 1866, 945, 949, 1745, 31305, 610, 796, 515, 731, 563, 1103, 6665, 2225, 666, 2099, 865, 1454, 811, 982, 1175, 7106, 8960, 689, 8289, 1107, 621, 2488, 513, 2189, 5133, 593, 1272, 602, 649, 1522, 6382, 2760, 1995, 563, 3086, 267, 1577, 779, 6521, 938, 1445, 547, 519, 5705, 8084, 540, 2048, 8450, 532, 685, 538, 1453, 779, 3332, 563, 1103, 4165, 334, 710, 632, 12142, 268, 2750, 1575, 2946, 787, 779, 634, 9741, 13584, 267, 646, 11363, 602, 621, 568, 1152, 609, 519, 2295, 602, 835, 666, 1294, 1318, 569, 543, 1018, 568, 1898, 568, 15865, 547, 519, 3750, 269, 901, 18941, 814, 1044, 8268, 538, 1585, 2984, 1141, 3197, 1451, 547, 1413, 3564, 23079, 543, 1294, 519, 3020, 9759, 540, 1004, 610, 1919, 563, 2690, 1383, 267, 538, 17125, 18234, 7322, 779, 634, 29179, 10326, 267, 513, 7911, 16137, 602, 519, 3529, 814, 2141, 6068, 1864, 5103, 922, 2168, 5920, 4657, 936, 942, 563, 8450, 532, 4422, 3564, 1175, 1210, 938, 4064, 282, 621, 3322, 1620, 543, 6568, 267, 799, 616, 3407, 4245, 585, 1453, 547, 1451, 689, 3332, 563, 3086, 267, 1577, 779, 2490, 938, 3007, 547, 519, 5705, 8084, 540, 2048, 29587, 685, 538, 1453, 779, 3332, 563, 2026, 4165, 334, 710, 632, 12142, 268, 2750, 1575, 2946, 787, 8711, 538, 634, 9741, 13584, 267, 7487, 1318, 569, 568, 711, 1175, 827, 1210, 938, 4064, 855, 849, 2502, 609, 938, 12271, 563, 7437, 2984, 899, 18234, 7322, 779, 634, 29179, 10326, 610, 1256, 27825, 971, 607, 23770, 779, 5680, 676, 661, 11065, 269, 6519, 267, 1762, 3988, 666, 1451, 602, 3020, 1620, 543, 6568, 2097, 689, 3168, 3564, 21603, 23079, 543, 9301, 519, 4514, 9759, 540, 1004, 543, 1919, 563, 2005, 568, 891, 3407, 4245, 602, 1118, 1453, 779, 3332, 606, 7533, 851, 540, 513, 1126, 779, 3929, 1646, 563, 2108, 2791, 2461, 4858, 591, 20537, 1411, 5617, 10079, 267, 16200, 518, 20537, 1411, 1530, 655, 267, 1656, 590, 3405, 614, 20537, 1411, 6056, 1848, 1107, 589, 6993, 269, 6660, 928, 267, 654, 4883, 773, 268, 763, 6261, 334, 2129, 454, 4415, 519, 1379, 540, 9345, 267, 1453, 779, 2835, 723, 519, 2702, 547, 8300, 543, 5000, 1762, 8186, 269, 1358, 1450, 3988, 547, 9101, 883, 28531, 10600, 1247, 849, 3450, 1271, 1272, 4245, 269, 1306, 4165, 334, 710, 632, 12142, 268, 2750, 1575, 2946, 787, 5206, 538, 634, 9741, 13584, 267, 2048, 2005, 568, 1152, 609, 519, 2295, 602, 835, 666, 1294, 1318, 569, 282, 1018, 568, 1898, 568, 15865, 547, 519, 3750, 10200, 901, 18941, 14753, 547, 519, 1871, 540, 6568, 543, 1620, 1866, 267, 1945, 602, 1453, 779, 2835, 1419, 11441, 547, 18836, 563, 3080, 971, 1433, 602, 24151, 713, 2856, 568, 589, 6993, 269, 6660, 928, 779, 654, 4883, 773, 7308, 6261, 334, 2129, 269, 769, 621, 267, 7313, 2129, 6645, 1010, 3659, 18332, 28120, 267, 2048, 2791, 2461, 2909, 591, 982, 596, 3494, 267, 6793, 982, 596, 3100, 267, 543, 21273, 982, 596, 1589, 10200, 1452, 1913, 7618, 721, 782, 602, 649, 616, 5827, 540, 811, 982, 649, 949, 7620, 8275, 269, 2060, 513, 2370, 3787, 540, 10100, 543, 6015, 538, 6000, 267, 649, 666, 10994, 1022, 21677, 602, 2501, 938, 1259, 563, 8072, 3963, 3514, 538, 950, 596, 941, 4535, 547, 1796, 856, 286, 685, 1107, 3220, 269, 1530, 1380, 454, 8072, 296, 899, 20060, 1619, 267, 621, 530, 1389, 909, 519, 2634, 2281, 10200, 1107, 3220, 269, 1530, 1380, 454, 8072, 15919, 594, 4076, 5156, 607, 1082, 607, 3670, 7543, 1919, 1354, 14254, 10200, 1107, 11066, 2961, 2651, 454, 14399, 779, 2835, 711, 1152, 4001, 3407, 4245, 855, 849, 3895, 5876, 543, 23141, 998, 741, 2189, 9423, 6163, 269, 1306, 10162, 12245, 667, 22844, 11339 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8978, 598, 332, 612, 1137, 585, 519, 5339, 1568, 596, 616, 17548, 786, 6157, 581, 1526, 29471, 676, 5461, 3988, 269, 769, 2489, 267, 596, 1590, 1175, 17743, 593, 891, 2798, 693, 2450, 952, 789, 616, 811, 21372, 610, 952, 596, 616, 2469, 547, 581, 6085, 532, 593, 873, 610, 9001, 873, 607, 513, 2101, 4493, 585, 707, 7664, 269, 2334, 1767, 267, 538, 1965, 560, 919, 585, 5049, 596, 723, 547, 8263, 513, 5594, 968, 560, 1575, 3187, 892, 5467, 269, 4595, 707, 7548, 554, 2958, 8973, 6218, 596, 1702, 585, 519, 5301, 540, 21249, 519, 1557, 269, 1411, 991, 547, 4159, 602, 596, 723, 2965, 19927, 543, 849, 1174, 891, 2093, 543, 8658, 269, 1924, 596, 1058, 811, 982, 2693, 1039, 513, 7008, 540, 3773, 5220, 952, 2629, 547, 1397, 713, 269, 1215, 1454, 2230, 596, 6165, 723, 547, 581, 1134, 7059, 1996, 519, 3259, 540, 519, 1557, 563, 7661, 267, 606, 1557, 602, 568, 711, 5176, 7357, 1863, 540, 7344, 6959, 1131, 6157, 2760, 1354, 581, 1435, 12221, 29354, 269, 1733, 12241, 596, 1522, 711, 581, 21882, 585, 8313, 267, 621, 568, 707, 7548, 779, 1788, 547, 948, 5721, 596, 547, 17492, 585, 519, 1857, 269, 901, 2882, 1158, 4171, 11450, 609, 596, 1522, 581, 4274, 267, 4358, 998, 707, 7548, 269, 2142, 15695, 602, 621, 568, 791, 565, 924, 543, 849, 18086, 547, 2307, 707, 7548, 547, 2689, 1965, 560, 919, 538, 799, 596, 723, 711, 533, 15276, 2614, 1344, 547, 11707, 630, 4944, 2454, 267, 8239, 264, 543, 3898, 630, 10177, 6463, 2553, 540, 6881, 1040, 7335, 971, 1965, 560, 919, 3217, 1454, 3476, 267, 543, 519, 1267, 568, 602, 707, 7548, 3217, 1454, 3476, 547, 556, 8527, 622, 707, 15032, 685, 1965, 8010, 338, 543, 814, 1454, 1447, 942, 547, 829, 22056, 824, 11645, 971, 607, 1576, 7041, 267, 11889, 17163, 267, 543, 849, 1353, 269, 769, 930, 3871, 267, 713, 949, 4125, 21882, 8100, 585, 1053, 1210, 585, 960, 543, 10927, 12621, 610, 3156, 585, 14828, 269, 1403, 596, 1810, 1406, 6169, 1348, 18113, 267, 596, 616, 711, 1175, 7133, 707, 3446, 267, 596, 616, 7133, 1004, 779, 4871, 21356, 269, 661, 1410, 4003, 958, 1557, 991, 547, 581, 14059, 607, 513, 4810, 4305, 269, 594, 2689, 552, 2169, 3153, 569, 1557, 607, 952, 594, 993, 12570, 513, 4796, 6118, 585, 513, 2816, 5967, 563, 290, 1746, 16538, 2200, 538, 606, 1557, 568, 513, 1505, 547, 5815, 707, 1702, 540, 2035, 799, 723, 1044, 5941, 676, 1866, 543, 849, 799, 596, 1810, 1406, 723, 2965, 2230, 547, 26134, 538, 707, 1557, 269, 1411, 949, 723, 547, 1685, 930, 1382, 1353, 10838, 891, 3544, 2959, 547, 12172, 707, 1702, 540, 3741, 596, 949, 711, 723, 2965, 4625, 9787, 539, 689, 1576, 6643, 269, 898, 568, 1271, 547, 29311, 602, 267, 849, 952, 596, 723, 3144, 2476, 513, 2312, 6791, 540, 519, 1587, 689, 1362, 267, 519, 1570, 20402, 538, 1362, 568, 3592, 2141, 513, 5187, 2305, 267, 6236, 602, 1362, 942, 568, 3908, 630, 663, 649, 616, 8572, 547, 5619, 782, 519, 2009, 2963, 1040, 23560, 1353, 666, 948, 596, 2744, 513, 4514, 543, 811, 4359, 6791, 540, 519, 1587, 563, 8450, 811, 281, 769, 634, 12910, 27777, 3912, 601, 4345, 267, 1548, 6496, 634, 17848, 3733, 601, 28582, 1677, 888, 16158, 4609, 723, 2965, 519, 3169, 1482, 11393, 607, 1576, 4901, 267, 855, 1256, 519, 20923, 3283, 616, 5781, 849, 811, 16866, 6589, 540, 519, 1570, 1317, 596, 616, 711, 2111, 547, 2307, 4145, 269, 1306, 971, 267, 519, 4950, 568, 12303, 2141, 946, 332, 1276, 1447, 607, 513, 1382, 5420, 269, 1635, 543, 1804, 19696, 513, 4950, 3896, 538, 707, 1557, 568, 711, 1454, 1454, 1732, 982, 711, 19696, 1022, 4812, 269, 570, 10964, 578, 616, 930, 8037, 17756, 267, 543, 594, 15475, 519, 3236, 547, 1224, 3286, 7930, 585, 519, 1732, 538, 519, 1739, 8717, 267, 2705, 585, 519, 8792, 596, 723, 547, 4584, 3370, 1965, 560, 919, 543, 849, 2835, 936, 519, 4950, 952, 596, 1616, 547, 798, 2298, 1353, 269, 5901, 538, 2247, 602, 267, 4352, 713, 3217, 3476, 267, 519, 1702, 596, 2744, 689, 2542, 513, 2347, 4901, 568, 3592, 7683, 1732, 269, 901, 1281, 711, 2503, 602, 596, 1058, 2760, 1354, 31721, 547, 519, 4950, 269, 4880, 4609, 1419, 2285, 596, 1390, 15713, 2798, 585, 1018, 3029, 540, 2835, 543, 9708, 547, 2689, 269, 901, 568, 519, 1259, 596, 1058, 6165, 873, 267, 952, 693, 782, 15164, 269, 1306, 513, 3803, 4063, 267, 621, 1590, 581, 1767, 602, 267, 581, 516, 1783, 9102, 1568, 5631, 723, 2407, 518, 5717, 982, 1357, 4609, 267, 19696, 9102, 3252, 568, 6140, 9228, 676, 3988, 607, 811, 11141, 269, 594, 2119, 547, 1491, 2272, 540, 713, 538, 1250, 10526, 540, 1965, 8010, 338, 585, 519, 6859, 540, 21249, 269, 0, 2080, 616, 519, 5767, 10311, 827, 519, 12176, 267, 799, 519, 2622, 2657, 9257, 814, 16363, 513, 834, 29514, 1072, 6595, 269, 3624, 814, 4080, 922, 1101, 5868, 540, 519, 32760, 3644, 538, 513, 812, 945, 14612, 547, 27816, 267, 2687, 547, 519, 23105, 4964, 269, 634, 1032, 6040, 812, 729, 5701, 538, 27816, 1354, 13059, 998, 15173, 15158, 593, 4924, 269, 8191, 885, 1767, 621, 781, 12691, 519, 3644, 786, 3262, 1813, 547, 1970, 18151, 2534, 538, 519, 1858, 267, 519, 6673, 4080, 563, 13328, 2657, 25944, 4762, 8787, 3689, 8422, 32760, 24295, 27418, 769, 3127, 454, 313, 11986, 24295, 25124, 543, 5843, 576, 874, 3315, 281, 589, 8865, 4211, 2632, 1503, 5530, 538, 8478, 454, 288, 8833, 540, 32760, 3644, 2098, 31082, 309, 540, 7489, 5169, 2404, 609, 4332, 12889, 543, 14715, 4713, 814, 7153, 543, 3262, 998, 519, 17113, 269, 2098, 31082, 309, 729, 1101, 9678, 538, 519, 1973, 540, 1875, 16058, 28516, 538, 4000, 543, 814, 1044, 9571, 538, 519, 1973, 267, 19975, 267, 543, 10729, 540, 513, 1906, 3032, 1551, 21331, 2249, 538, 1312, 4000, 543, 5607, 267, 11021, 602, 1875, 16058, 28516, 949, 4196, 607, 1312, 513, 2707, 543, 513, 13111, 540, 519, 3644, 269, 634, 2487, 4367, 540, 2098, 31082, 309, 547, 1480, 5095, 538, 519, 17113, 6799, 519, 1761, 585, 519, 3644, 547, 3262, 883, 1875, 16058, 929, 1493, 23854, 269, 4935, 267, 621, 568, 2565, 547, 1020, 3608, 543, 1875, 514, 15230, 7020, 2409, 547, 6895, 519, 3262, 540, 519, 3644, 538, 3552, 1875, 16058, 929, 1493, 5095, 269, 3371, 267, 649, 4766, 513, 1505, 585, 2098, 31082, 309, 7020, 538, 1875, 514, 11663, 1947, 6394, 32740, 5439, 540, 513, 3026, 582, 7211, 929, 1493, 269, 1284, 5635, 519, 32740, 2164, 547, 2098, 31082, 309, 7020, 538, 16796, 267, 19975, 267, 543, 10729, 5439, 689, 519, 1482, 2043, 269, 3776, 2164, 5815, 602, 32740, 7020, 568, 513, 1942, 15807, 267, 1875, 514, 15230, 1505, 585, 5464, 3552, 5095, 540, 3026, 582, 7211, 28516, 607, 2009, 2098, 31082, 309, 23854, 563, 313, 11986, 24295, 8865, 5530, 454, 2026, 519, 32760, 12176, 5170, 267, 2963, 568, 20387, 538, 1489, 540, 519, 3069, 602, 519, 3644, 568, 519, 2601, 1946, 982, 476, 275, 267, 12256, 538, 8478, 723, 1044, 4535, 538, 2487, 3275, 609, 2890, 576, 874, 3315, 2073, 513, 2783, 538, 799, 513, 4816, 814, 606, 25983, 958, 1507, 15693, 543, 896, 16467, 539, 2634, 269, 1809, 513, 1007, 1957, 267, 3370, 13628, 538, 12813, 5308, 10598, 21124, 23427, 15302, 2073, 5267, 4598, 547, 519, 3644, 666, 849, 1267, 538, 824, 6379, 8374, 281, 22787, 12889, 543, 1256, 1869, 19689, 269, 634, 1957, 22281, 338, 3877, 540, 835, 6379, 538, 30571, 267, 8478, 269, 2991, 4074, 729, 13251, 538, 519, 476, 3953, 526, 3018, 540, 1200, 6379, 267, 513, 1032, 6040, 4807, 9447, 513, 1869, 9799, 538, 5130, 269, 769, 606, 1313, 641, 1910, 540, 519, 10867, 267, 13500, 4857, 4049, 6553, 538, 519, 3844, 8401, 1062, 543, 606, 9000, 540, 519, 19548, 16794, 563, 763, 6935, 1063, 32760, 3644, 543, 2890, 576, 874, 3315, 568, 4922, 10924, 547, 581, 21465, 1317, 540, 2178, 2963, 540, 606, 7681, 269, 1717, 267, 2963, 865, 2484, 2501, 689, 2013, 5359, 267, 2013, 3126, 267, 20592, 2090, 267, 543, 16861, 5359, 689, 20165, 2090, 910, 9039, 540, 799, 723, 3769, 3617, 1852, 2516, 269, 4653, 267, 3173, 689, 8478, 543, 519, 5177, 1867, 519, 16861, 4681, 540, 519, 1101, 2013, 20820, 1353, 6313, 519, 7681, 1063, 2890, 576, 874, 3315, 543, 538, 14685, 334, 32760, 3644, 3968, 269, 634, 1353, 267, 3370, 538, 634, 31102, 29956, 15302, 4760, 267, 729, 16761, 676, 519, 19384, 12080, 540, 2657, 547, 8495, 519, 3123, 540, 519, 2890, 576, 874, 3315, 15435, 602, 729, 10294, 513, 5398, 2657, 17073, 540, 4139, 19634, 333, 538, 634, 1353, 3769, 782, 12256, 4535, 609, 2890, 576, 874, 3315, 9447, 538, 5216, 1857, 10506, 538, 623, 1716, 3711, 1075, 334, 3557, 538, 3345, 8109, 8478, 1063, 476, 1428, 5130, 543, 476, 273, 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 ]
[ 1318, 25701, 547, 281, 2924, 540, 1863, 4082, 267, 547, 1780, 10385, 2924, 540, 7834, 267, 547, 2611, 14980, 3959, 2924, 267, 15629, 2924, 269, 0, 763, 2634, 10375, 569, 15387, 519, 1459, 1291, 538, 4987, 936, 3457, 585, 3833, 513, 1906, 3137, 269, 634, 1480, 2247, 814, 2834, 7516, 543, 585, 602, 2601, 972, 781, 513, 3908, 3099, 540, 8229, 2281, 269, 2060, 606, 8733, 2146, 257, 540, 835, 6361, 8584, 29292, 4888, 3674, 585, 1585, 13542, 267, 1480, 7919, 1058, 581, 2111, 547, 4308, 609, 519, 8608, 781, 13542, 269, 1403, 1004, 1904, 711, 547, 4020, 1022, 811, 267, 1310, 602, 972, 3884, 1405, 1022, 811, 1646, 538, 519, 8800, 4390, 540, 602, 1062, 269, 1358, 798, 711, 723, 602, 2186, 540, 1702, 563, 4504, 3485, 775, 1223, 581, 1767, 607, 519, 2877, 2126, 547, 1020, 3877, 1759, 593, 11593, 2139, 1344, 269, 16869, 1062, 729, 1500, 1175, 585, 22707, 269, 898, 568, 2484, 1657, 3425, 950, 621, 25701, 547, 6310, 7744, 607, 1134, 607, 2780, 607, 1134, 269, 898, 568, 1732, 693, 1480, 7919, 950, 621, 25701, 547, 7114, 3270, 6456, 10838, 2462, 9424, 540, 1239, 269, 16869, 1062, 568, 519, 2361, 23622, 593, 9591, 3457, 602, 616, 2469, 547, 581, 538, 513, 4259, 547, 17932, 543, 1685, 607, 1480, 7919, 269, 769, 519, 4636, 3946, 267, 621, 666, 849, 1711, 3463, 269, 14464, 11106, 630, 9590, 1916, 2304, 849, 8273, 5057, 666, 581, 6913, 609, 3642, 267, 607, 1134, 607, 519, 2063, 851, 666, 581, 13401, 1927, 269, 2755, 3642, 666, 5838, 513, 1978, 1377, 540, 2123, 5314, 538, 20261, 267, 621, 666, 1405, 21613, 513, 2629, 3750, 267, 606, 8076, 8223, 543, 513, 14850, 335, 5803, 267, 1480, 3095, 269, 1411, 949, 10123, 8415, 3642, 547, 3761, 31452, 585, 2472, 513, 6075, 1223, 2648, 547, 4444, 1759, 593, 519, 2472, 789, 4312, 20335, 5892, 269, 24511, 267, 3642, 14767, 547, 1689, 938, 2729, 538, 2081, 649, 723, 2965, 13175, 547, 1995, 267, 607, 7000, 676, 513, 1353, 1500, 676, 18628, 2160, 269, 20348, 3642, 5288, 31808, 3642, 16869, 3590, 630, 9590, 1916, 2026, 4702, 2511, 568, 1869, 13934, 676, 1950, 13542, 543, 1283, 2298, 540, 1344, 267, 519, 991, 585, 1480, 23388, 267, 6791, 543, 849, 2298, 1852, 568, 1360, 1271, 538, 1210, 3642, 6383, 2164, 269, 7913, 1374, 568, 513, 6381, 540, 606, 16109, 13567, 799, 3357, 856, 540, 519, 2656, 30553, 540, 5647, 267, 543, 621, 781, 1869, 14027, 269, 634, 2413, 2029, 7727, 552, 4467, 12692, 32388, 832, 609, 519, 5191, 547, 1445, 593, 1585, 824, 1898, 6009, 10834, 707, 6075, 1416, 6498, 666, 581, 26987, 1510, 17596, 547, 2308, 606, 9750, 1297, 540, 6351, 2319, 563, 21132, 1713, 4305, 568, 547, 3142, 930, 1480, 6438, 7907, 538, 17562, 267, 865, 789, 666, 581, 538, 513, 4259, 547, 17932, 1480, 7919, 269, 3776, 2634, 4183, 3884, 1405, 4625, 6956, 267, 2705, 938, 22813, 3252, 616, 3622, 6444, 269, 6270, 513, 1950, 1062, 568, 1500, 676, 1480, 4987, 269, 1306, 606, 1383, 267, 1851, 519, 1883, 6127, 540, 3877, 6771, 5526, 547, 581, 519, 2557, 693, 799, 8229, 2281, 2165, 3729, 513, 10416, 3586, 4756, 269, 14464, 4987, 1949, 666, 14710, 519, 1034, 2500, 21802, 18544, 593, 519, 4541, 267, 2943, 789, 991, 3875, 6337, 630, 30009, 676, 1004, 264, 547, 713, 1543, 723, 519, 2702, 547, 1265, 856, 547, 14013, 5431, 513, 3032, 563, 6097, 547, 18703, 781, 9086, 267, 2780, 1949, 786, 6157, 835, 1259, 610, 1776, 8263, 519, 8766, 22911, 27323, 24295, 6402, 513, 1480, 2634, 814, 269, 3143, 2339, 267, 621, 2982, 909, 602, 513, 2780, 1062, 1522, 711, 581, 519, 1034, 2500, 1858, 547, 1376, 538, 606, 3408, 540, 1480, 5042, 3252, 269, 769, 602, 2013, 267, 1310, 602, 7682, 602, 6035, 513, 1500, 1950, 6190, 2780, 649, 1522, 3132, 513, 1480, 6438, 4656, 5526, 547, 581, 513, 3787, 1454, 811, 16048, 563, 296, 1498, 596, 1522, 723, 930, 2042, 269, 634, 1966, 568, 2043, 723, 3908, 1620, 610, 3965, 269, 6271, 3239, 568, 547, 3986, 1587, 10372, 540, 1413, 693, 1934, 513, 5001, 23861, 1191, 28705, 4950, 3896, 269, 1703, 781, 513, 2165, 3238, 609, 2497, 4274, 1062, 563, 763, 1360, 2653, 1249, 568, 621, 547, 1413, 585, 519, 3435, 540, 5863, 1004, 282, 596, 1289, 585, 8748, 1004, 547, 1711, 513, 4276, 543, 6536, 3347, 269, 634, 6662, 540, 3642, 568, 547, 4217, 1004, 811, 6707, 5650, 543, 5659, 5458, 9424, 540, 9623, 269, 0, 15124, 2606, 9433, 1557, 454, 1607, 2022, 786, 948, 596, 2328, 1732, 31047, 538, 707, 4305, 476, 273, 476, 1408, 1206, 3594, 543, 1397, 519, 1808, 5220, 1775, 18973, 782, 540, 1250, 1053, 547, 946, 950, 1603, 476, 1408, 1206, 1603, 4305, 476, 273, 31047, 519, 4367, 568, 519, 1101, 851, 540, 519, 1557, 519, 981, 10719, 786, 1224, 543, 621, 786, 2285, 873, 513, 1434, 1101, 269, 3690, 1431, 616, 2453, 610, 1913, 1031, 547, 1921, 835, 2856, 547, 519, 1985, 13289, 616, 1031, 676, 519, 2278, 547, 948, 519, 5467, 3356, 689, 835, 1713, 2856, 547, 519, 1985, 13289, 849, 1397, 519, 2078, 1369, 513, 5037, 630, 528, 1369, 513, 4845, 264, 1063, 519, 1292, 2856, 543, 519, 1489, 519, 2278, 269, 3509, 1434, 5830, 7227, 547, 32432, 519, 4367, 5037, 2394, 1310, 789, 723, 6192, 519, 3003, 1557, 1934, 779, 513, 2241, 1544, 596, 666, 1246, 1101, 267, 2328, 513, 2596, 4528, 540, 707, 5098, 3948, 269, 634, 2606, 5037, 540, 1022, 1957, 267, 1279, 610, 2110, 267, 1058, 1376, 609, 513, 4845, 602, 533, 2294, 519, 1719, 540, 707, 3988, 538, 513, 1134, 268, 24554, 539, 1101, 5037, 267, 602, 1101, 4845, 786, 1291, 883, 1614, 610, 2185, 5220, 602, 1683, 3877, 827, 519, 1641, 610, 707, 1184, 596, 786, 2232, 269, 589, 1434, 2606, 5037, 568, 7363, 5216, 547, 4557, 5220, 581, 2386, 547, 17412, 519, 1543, 540, 707, 1557, 930, 5830, 3442, 547, 2328, 519, 4367, 5037, 1310, 519, 1557, 568, 2854, 563, 1103, 10156, 4574, 267, 519, 4367, 568, 2356, 1152, 835, 610, 1079, 9433, 267, 855, 621, 666, 581, 1896, 9433, 538, 513, 3476, 1957, 585, 3476, 4574, 4352, 585, 2110, 3594, 519, 4367, 568, 2356, 1175, 835, 5037, 267, 3476, 4661, 610, 1382, 4574, 949, 2154, 513, 811, 8101, 4367, 269, 4985, 281, 2606, 5037, 1294, 267, 1101, 267, 1603, 2606, 9433, 585, 1114, 2081, 540, 3478, 707, 5467, 3238, 538, 707, 1557, 519, 2606, 5037, 1058, 849, 1331, 519, 5098, 3948, 267, 513, 2186, 540, 9910, 13050, 1467, 585, 519, 1957, 281, 621, 6645, 519, 5467, 1018, 519, 1557, 568, 827, 269, 634, 2606, 5037, 568, 835, 540, 519, 1034, 1271, 2694, 540, 707, 1957, 267, 607, 621, 2636, 596, 547, 2491, 519, 3483, 540, 707, 960, 543, 1533, 519, 1292, 2856, 540, 707, 1557, 269, 18833, 875, 547, 1376, 513, 5635, 543, 4334, 1557, 568, 519, 1101, 1900, 547, 1603, 606, 4277, 1557, 602, 786, 1832, 3988, 7722, 782, 519, 1259, 547, 519, 1439, 616, 596, 2469, 547, 723, 2185, 9433, 1107, 606, 4367, 267, 513, 5037, 593, 519, 1101, 1641, 267, 513, 5037, 593, 519, 2034, 1641, 267, 543, 513, 3932, 1169, 1390, 1557, 6238, 609, 513, 1390, 563, 288, 1434, 4367, 5036, 519, 6429, 267, 20964, 519, 3159, 543, 3947, 513, 2312, 2856, 540, 1018, 519, 1557, 568, 827, 31047, 666, 581, 25254, 585, 2875, 5830, 1317, 540, 519, 5578, 2838, 547, 2721, 3988, 262, 3007, 689, 519, 1082, 19240, 2921, 1747, 547, 519, 3390, 593, 519, 3817, 538, 4395, 540, 873, 269, 4828, 1603, 585, 13387, 4255, 281, 4388, 585, 1603, 513, 2947, 5037, 1557, 799, 1058, 581, 476, 4335, 547, 476, 8517, 1913, 1279, 543, 1331, 606, 2606, 5037, 267, 1614, 5885, 9433, 543, 513, 25759, 5037, 519, 1101, 5037, 281, 519, 4367, 269, 634, 2606, 5037, 540, 1022, 1557, 568, 1141, 596, 786, 267, 23679, 267, 7001, 707, 5467, 779, 3007, 2436, 596, 2461, 1603, 606, 12819, 267, 10388, 1557, 585, 513, 7521, 1362, 610, 2870, 513, 19621, 4062, 540, 10855, 1603, 267, 519, 6679, 5037, 1058, 16436, 519, 5467, 538, 543, 1118, 519, 3483, 540, 707, 1557, 2312, 269, 5675, 519, 2606, 5037, 666, 581, 513, 24858, 543, 3500, 1184, 4534, 855, 621, 3085, 1405, 723, 547, 581, 952, 596, 9709, 707, 1957, 856, 267, 1287, 1034, 540, 519, 2606, 5037, 568, 2907, 2854, 563, 16240, 606, 2500, 2606, 5037, 25907, 519, 5304, 547, 519, 5856, 513, 3808, 5304, 1797, 596, 1205, 547, 2671, 782, 1346, 8748, 2093, 596, 4076, 1044, 16462, 547, 2671, 3450, 713, 5578, 1797, 3079, 540, 14379, 609, 27615, 660, 338, 267, 707, 1053, 786, 5968, 609, 1913, 269, 1323, 4367, 540, 513, 5037, 568, 519, 4098, 540, 1018, 519, 5856, 786, 581, 1603, 538, 602, 5037, 827, 952, 519, 4367, 568, 693, 519, 4098, 540, 513, 1650, 267, 1557, 267, 3092, 269, 1323, 4367, 5037, 568, 3274, 519, 1101, 5037, 540, 606, 1557, 3006, 267, 31047, 4043, 547, 581, 513, 3787, 16602, 3006, 267, 31047, 4043, 547, 581, 513, 3787, 16602, 2094, 519, 4367, 568, 519, 1101, 3296, 540, 707, 1557, 602, 519, 5467, 2501, 2066, 267, 519, 30367, 616, 9090, 1164, 585, 707, 4367, 547, 581, 9159, 563, 15124, 2606, 9433, 1557, 454, 1103, 519, 14724, 2474, 267, 513, 5635, 543, 4334, 1557, 3217, 1079, 5396, 630, 773, 267, 3615, 267, 2621, 267, 1004, 267, 610, 4025, 28931, 29148, 569, 1644, 610, 27723, 1114, 11652, 6212, 593, 1018, 827, 873, 568, 519, 1482, 610, 1018, 779, 1114, 610, 6212, 593, 513, 4999, 540, 10486, 543, 3604, 269, 1323, 2500, 16878, 1557, 2356, 5956, 609, 606, 2606, 5037, 602, 4991, 3988, 5461, 538, 519, 1888, 267, 2882, 1614, 630, 528, 811, 264, 1560, 9433, 602, 2491, 519, 1888, 267, 543, 7475, 609, 513, 25759, 5037, 602, 26564, 519, 1888, 269, 634, 4367, 5037, 568, 513, 1360, 1271, 851, 540, 1557, 1603, 1934, 596, 786, 1265, 1434, 4052, 7840, 543, 1806, 540, 4367, 9433, 585, 606, 1557, 602, 948, 596, 1205, 1164, 9344, 269, 634, 1101, 4845, 540, 519, 1557, 568, 519, 1034, 1271, 835, 607, 922, 9837, 568, 547, 10544, 519, 3007, 540, 519, 5467, 519, 1557, 4367, 1806, 4196, 607, 519, 1557, 779, 968, 14090, 892, 621, 14592, 547, 519, 5467, 519, 3119, 4661, 543, 2798, 267, 799, 519, 5856, 10953, 538, 519, 1557, 563, 268, 634, 2606, 5037, 519, 5037, 602, 5956, 606, 1557, 3123, 1053, 519, 1034, 8373, 267, 2943, 11438, 519, 1034, 2956, 4352, 922, 5730, 4070, 9775, 689, 9135, 547, 9135, 630, 663, 689, 1557, 547, 1557, 1070, 1434, 2606, 9433, 3622, 9585, 519, 1482, 4247, 543, 1246, 513, 1906, 2596, 3270, 563, 268, 1677, 2328, 513, 2947, 5037, 1557, 267, 1376, 609, 606, 2606, 5037, 602, 2882, 513, 13622, 547, 7001, 707, 5304, 779, 3007, 267, 543, 513, 5098, 602, 6941, 519, 1292, 1448, 596, 2461, 3843, 547, 1118, 1287, 267, 946, 519, 1985, 476, 274, 9433, 547, 2491, 476, 274, 5094, 2798, 602, 1489, 707, 5098, 563, 268, 634, 4367, 568, 1141, 596, 6338, 707, 1888, 1312, 538, 3376, 543, 1808, 2474, 621, 779, 849, 1141, 1118, 707, 5098, 3948, 519, 5098, 3948, 2488, 519, 1292, 1448, 540, 610, 2093, 1369, 707, 1557, 563, 1103, 713, 3992, 596, 786, 1451, 547, 2328, 606, 2606, 5037, 547, 4497, 519, 5467, 538, 519, 1888, 676, 10213, 707, 5467, 1946, 713, 3390, 568, 1271, 269, 1280, 4548, 1557, 267, 5037, 267, 1775, 991, 547, 2328, 606, 1557, 585, 1582, 1593, 551, 517, 6011, 666, 1775, 2328, 606, 1434, 1557, 666, 930, 4966, 2285, 803, 606, 1383, 1557, 543, 2285, 803, 930, 4388, 9684, 596, 596, 666, 849, 24440, 519, 8360, 1412, 1345, 10784, 3174, 1557, 262, 585, 811, 2093, 24203, 476, 1789, 476, 1220, 279, 476, 5400, 281, 5655, 281, 4375, 544, 3563, 8020, 1177, 828, 607, 585, 1250, 1920, 267, 1775, 723, 1175, 835, 7015, 1079, 269, 4985, 9433, 616, 2356, 827, 476, 276, 260, 540, 707, 1557, 2262, 1293, 538, 5693, 27787, 5220, 267, 519, 5856, 3947, 930, 4282, 593, 519, 1292, 1888, 6941, 519, 4081, 1966, 543, 6645, 519, 5467, 1018, 547, 2503, 538, 519, 1964, 540, 519, 1557, 269, 5675, 31047, 547, 12819, 3594, 596, 1631, 917, 875, 547, 2328, 519, 1560, 540, 606, 12819, 1557, 789, 1118, 909, 519, 4367, 547, 606, 12819, 1557, 827, 519, 3390, 540, 2436, 31065, 1058, 1831, 513, 14081, 513, 607, 513, 1267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 22036, 2429, 741, 2729, 856, 540, 713, 269, 15214, 327, 573, 15727, 1223, 723, 3978, 12214, 4093, 585, 1383, 3579, 543, 20202, 3946, 267, 18024, 267, 543, 2960, 5563, 6281, 547, 5672, 3130, 593, 519, 2960, 563, 29730, 327, 573, 15727, 1223, 849, 723, 14124, 3929, 4093, 593, 835, 779, 1367, 1272, 269, 25842, 539, 2043, 616, 7683, 3222, 540, 741, 2783, 543, 2119, 547, 12189, 741, 1272, 16654, 547, 1489, 713, 1966, 269, 901, 666, 581, 524, 23774, 1782, 538, 4274, 267, 4081, 543, 1514, 5872, 267, 4929, 3232, 19849, 817, 906, 269, 3509, 6296, 4247, 1831, 5393, 2182, 26050, 267, 799, 1223, 2618, 10999, 632, 10968, 891, 2043, 9846, 563, 29730, 327, 573, 15727, 568, 2965, 513, 2564, 2783, 609, 3978, 2942, 5626, 4093, 269, 10251, 1434, 2828, 267, 14077, 540, 4299, 2043, 607, 1134, 607, 1034, 7189, 3622, 2356, 798, 711, 917, 519, 16854, 3983, 1764, 799, 713, 4161, 666, 723, 593, 835, 779, 1272, 563, 2005, 568, 1898, 602, 1022, 2126, 1031, 568, 19918, 6074, 547, 7443, 1142, 1367, 779, 991, 269, 5221, 713, 2564, 2783, 949, 1860, 1004, 8335, 267, 1004, 1522, 849, 2746, 8335, 269, 13018, 267, 519, 4524, 3123, 4049, 2942, 12214, 267, 3929, 543, 1514, 4539, 269, 769, 13076, 609, 2564, 4648, 267, 2487, 8441, 538, 4915, 723, 8476, 2126, 585, 7050, 24852, 269, 634, 4387, 1058, 5265, 21559, 2126, 1759, 593, 519, 1367, 779, 3510, 269, 634, 5574, 1331, 6527, 267, 22521, 25316, 619, 2869, 1218, 267, 9357, 339, 2684, 2803, 529, 267, 7762, 2135, 543, 6391, 543, 2067, 14319, 269, 8616, 267, 519, 1034, 6093, 1259, 540, 5409, 327, 573, 15727, 2126, 547, 4266, 568, 9090, 519, 7736, 25646, 18897, 25714, 6641, 6312, 515, 551, 3912, 610, 661, 4811, 563, 763, 661, 4811, 568, 3362, 519, 1034, 1455, 2126, 585, 8033, 4240, 267, 2943, 621, 2731, 568, 1152, 2500, 585, 930, 2010, 540, 519, 2564, 4524, 269, 5015, 267, 713, 10551, 2126, 2164, 538, 513, 13747, 2427, 1198, 1572, 9104, 2218, 24852, 269, 634, 3411, 19907, 786, 5469, 27105, 24852, 267, 799, 949, 2408, 538, 519, 15493, 267, 17737, 267, 2539, 9221, 267, 25427, 338, 543, 7953, 269, 7073, 4915, 267, 2705, 267, 814, 3358, 519, 1505, 547, 513, 1808, 1826, 540, 5409, 327, 573, 15727, 267, 519, 11132, 5409, 327, 573, 15727, 547, 7413, 519, 3978, 1145, 540, 2059, 2427, 621, 1198, 269, 634, 946, 554, 343, 336, 15680, 25316, 619, 2869, 1218, 610, 632, 31121, 1218, 547, 1491, 1416, 540, 5409, 327, 573, 15727, 568, 11212, 23696, 538, 13076, 609, 5409, 327, 573, 15727, 2550, 269, 4014, 12212, 267, 891, 2010, 540, 5574, 602, 616, 1164, 538, 11956, 17296, 941, 2500, 269, 634, 7762, 6081, 636, 25560, 1826, 589, 630, 6630, 311, 5025, 264, 610, 15636, 2135, 24409, 616, 5393, 11213, 267, 2943, 3833, 2500, 585, 519, 2126, 540, 5493, 3405, 543, 11132, 5409, 327, 573, 15727, 563, 8794, 2067, 14319, 267, 2705, 267, 568, 4742, 811, 7839, 543, 3568, 9863, 547, 581, 811, 6225, 538, 1896, 3344, 269, 7849, 524, 999, 616, 1634, 547, 4383, 519, 11371, 24851, 2360, 540, 519, 2564, 1966, 269, 4635, 2067, 2067, 1753, 14319, 849, 10970, 28179, 519, 4960, 585, 30414, 2427, 2360, 602, 596, 1590, 22036, 2059, 609, 824, 5574, 269, 7849, 5574, 1331, 27041, 7401, 267, 7401, 11435, 267, 16693, 543, 9932, 543, 27611, 12853, 269, 1452, 2067, 1753, 14319, 711, 1152, 24390, 519, 5920, 540, 519, 4191, 543, 2589, 540, 5409, 327, 573, 15727, 267, 621, 3091, 849, 9863, 547, 3247, 2417, 17061, 563, 22873, 6053, 267, 621, 949, 581, 4101, 547, 1205, 519, 1655, 5409, 327, 573, 15727, 2126, 585, 1312, 596, 543, 707, 2123, 1702, 827, 519, 4524, 269, 18641, 267, 2705, 267, 972, 616, 1082, 2409, 540, 2126, 547, 3442, 689, 269, 4595, 519, 2564, 4524, 814, 971, 13311, 2360, 936, 513, 1268, 779, 17612, 267, 621, 568, 1271, 602, 519, 2126, 596, 2936, 14443, 338, 543, 21314, 1346, 25031, 4539, 269, 0, 293, 5831, 5071, 12140, 454, 11767, 5705, 1856, 1934, 454, 1607, 1747, 2245, 1198, 26182, 2527, 2344, 9858, 269, 11048, 267, 524, 719, 675, 6752, 15670, 11441, 547, 581, 519, 2707, 540, 519, 6667, 2864, 982, 606, 708, 527, 1807, 269, 634, 3017, 1063, 602, 616, 2139, 538, 2324, 856, 540, 519, 23335, 16014, 8957, 519, 14704, 269, 3509, 2104, 2511, 9367, 1528, 547, 979, 883, 6752, 23335, 2358, 269, 11048, 267, 1312, 540, 891, 2127, 4125, 10169, 1585, 6437, 269, 2290, 949, 13404, 593, 4747, 267, 6725, 267, 543, 1870, 1141, 15029, 519, 824, 734, 325, 5831, 1374, 734, 15884, 13404, 593, 5876, 543, 5876, 538, 2921, 930, 2093, 543, 2035, 547, 1272, 563, 8138, 2425, 550, 4099, 2852, 267, 10453, 666, 3442, 2852, 4058, 6030, 547, 3119, 741, 4081, 13475, 609, 741, 4865, 21483, 11678, 269, 1280, 1053, 530, 5109, 547, 1205, 519, 13009, 540, 513, 14704, 540, 1022, 1106, 267, 1148, 4245, 616, 1271, 547, 3384, 519, 1898, 1344, 543, 3119, 2409, 602, 789, 666, 946, 563, 25938, 1640, 1153, 5049, 1590, 5909, 534, 569, 581, 5697, 547, 4217, 538, 2679, 513, 9952, 14769, 6029, 547, 1761, 2511, 12621, 269, 1635, 4358, 741, 4081, 8600, 2731, 2038, 267, 621, 781, 15164, 585, 10453, 547, 1118, 519, 1034, 540, 519, 9972, 1153, 1296, 676, 10771, 29599, 3527, 799, 786, 1331, 24996, 585, 741, 2852, 3156, 269, 1306, 606, 1383, 267, 1761, 2511, 15670, 666, 1491, 4245, 711, 1152, 538, 11247, 855, 849, 1880, 2979, 543, 26099, 6030, 267, 2923, 5049, 267, 543, 12416, 2238, 602, 3513, 1450, 873, 547, 2263, 1585, 2127, 540, 519, 2511, 1158, 269, 2368, 1164, 12621, 1256, 1459, 6030, 538, 1507, 1870, 2119, 713, 3135, 610, 29426, 1983, 563, 2690, 1053, 945, 2842, 909, 693, 519, 2852, 3942, 543, 991, 547, 2736, 883, 519, 2511, 1374, 2344, 267, 621, 568, 2760, 849, 3735, 269, 20043, 538, 17444, 267, 7206, 267, 1272, 17444, 267, 543, 3623, 802, 10547, 267, 543, 12094, 6240, 267, 2511, 543, 1148, 1686, 616, 930, 540, 519, 4098, 7569, 585, 1175, 827, 1022, 2511, 1374, 2875, 269, 20153, 10184, 1053, 540, 6752, 1374, 666, 4163, 593, 609, 4806, 14708, 267, 22927, 30304, 267, 10427, 22927, 2853, 267, 543, 5907, 8888, 563, 2005, 568, 1898, 585, 513, 2511, 1374, 16159, 547, 723, 6165, 540, 713, 2186, 540, 2241, 6437, 538, 6280, 547, 581, 2111, 547, 5965, 585, 519, 1483, 2638, 540, 891, 1983, 281, 741, 22631, 1222, 269, 2991, 519, 2875, 814, 3144, 519, 4909, 543, 4359, 3292, 267, 621, 568, 942, 585, 873, 547, 20647, 538, 1978, 2460, 540, 519, 6752, 2872, 269, 1879, 7606, 1589, 540, 6752, 267, 789, 3494, 540, 2196, 3118, 2982, 543, 524, 719, 675, 10070, 269, 1703, 616, 2511, 8637, 1472, 519, 1158, 267, 855, 1082, 1004, 1419, 14719, 622, 1715, 3840, 16011, 519, 7887, 2344, 540, 782, 6752, 1374, 269, 1403, 519, 6280, 2875, 4769, 1405, 3442, 513, 6280, 2282, 513, 2511, 2511, 1647, 267, 621, 949, 581, 21483, 547, 1450, 873, 547, 2824, 606, 22631, 1222, 13883, 538, 602, 1858, 269, 2368, 824, 21483, 22631, 1222, 4025, 1223, 581, 6115, 267, 9823, 267, 11968, 13353, 267, 23916, 267, 24611, 267, 24354, 267, 543, 1114, 23195, 2127, 563, 763, 1360, 1655, 3761, 540, 22631, 1222, 3255, 1223, 581, 519, 1153, 12200, 543, 5796, 24784, 269, 898, 568, 1360, 1271, 547, 798, 707, 6780, 676, 14236, 1761, 22631, 4721, 282, 855, 267, 789, 1223, 11613, 1344, 519, 16159, 547, 18825, 602, 789, 949, 711, 723, 2808, 563, 763, 2511, 1158, 814, 922, 12137, 1127, 269, 5272, 2688, 5956, 12341, 269, 1358, 3112, 1175, 10927, 689, 2852, 543, 1093, 1993, 723, 741, 1880, 1374, 2777, 543, 741, 1360, 1378, 10070, 269, 1358, 6157, 941, 6497, 1819, 676, 18825, 538, 519, 1870, 269, 2368, 540, 873, 941, 1582, 3254, 543, 1705, 711, 723, 519, 4316, 547, 4983, 538, 513, 6280, 1604, 855, 7691, 538, 519, 9872, 540, 2182, 5679, 4169, 269, 769, 1022, 2013, 267, 950, 972, 568, 513, 991, 547, 4487, 519, 2511, 2511, 1870, 267, 1287, 972, 568, 513, 1505, 547, 798, 621, 563, 6944, 6374, 622, 2324, 693, 513, 1747, 602, 1281, 11941, 610, 2766, 1681, 547, 1020, 22927, 1983, 269, 2552, 6374, 622, 3384, 707, 2123, 9660, 269, 6056, 540, 4398, 267, 16566, 267, 1480, 14169, 1106, 267, 1880, 6898, 267, 7801, 543, 12308, 3903, 269, 25826, 519, 18544, 734, 15367, 568, 593, 519, 6316, 540, 2511, 2094, 596, 20053, 547, 900, 3634, 286, 4208, 798, 596, 899, 741, 1826, 286, 1548, 4959, 707, 1826, 286, 0, 2467, 616, 945, 2907, 1131, 723, 4862, 827, 1930, 2707, 3301, 269, 3767, 267, 585, 782, 1346, 945, 798, 711, 917, 1018, 1930, 2707, 3301, 568, 267, 606, 1930, 2707, 3301, 568, 835, 799, 814, 513, 2707, 3009, 602, 568, 11884, 2139, 547, 3025, 282, 4896, 5461, 666, 3362, 8524, 543, 12189, 713, 3009, 269, 4706, 2653, 10333, 814, 1500, 621, 3833, 2442, 538, 519, 8668, 1158, 269, 7046, 2707, 3301, 814, 1631, 1256, 1336, 741, 1259, 883, 4152, 269, 4653, 972, 616, 1930, 2707, 454, 2005, 568, 3020, 602, 519, 1930, 2707, 4152, 3301, 814, 1631, 1500, 4152, 811, 4443, 269, 13966, 609, 519, 5383, 267, 621, 849, 814, 930, 11393, 2404, 609, 621, 269, 2913, 779, 723, 513, 1413, 693, 922, 1292, 5383, 543, 11393, 563, 2691, 621, 2501, 547, 4152, 3301, 267, 972, 616, 1079, 2010, 540, 4152, 2553, 282, 8261, 4152, 543, 12747, 4152, 269, 14825, 730, 4152, 3340, 1808, 3301, 547, 581, 1031, 269, 3767, 267, 1082, 3549, 6718, 713, 3301, 610, 1205, 621, 2919, 676, 9878, 1776, 2754, 269, 1548, 952, 267, 713, 3301, 729, 2139, 585, 1863, 286, 2334, 779, 1930, 2707, 4152, 3301, 563, 2005, 1131, 581, 4143, 602, 513, 2596, 1620, 540, 4119, 7757, 18712, 11394, 547, 1683, 547, 519, 3593, 568, 2944, 269, 4119, 7757, 18712, 6663, 547, 22285, 519, 3059, 1344, 547, 581, 1732, 14018, 547, 519, 4890, 3593, 269, 898, 568, 811, 540, 513, 16419, 1935, 602, 11394, 547, 1118, 2833, 2123, 543, 811, 6098, 269, 4935, 2094, 519, 1360, 1599, 540, 519, 22048, 568, 547, 1463, 1732, 2389, 1173, 9643, 6808, 547, 513, 3135, 269, 898, 1131, 1246, 602, 519, 11938, 2853, 666, 581, 9862, 547, 11904, 1732, 4119, 7757, 2833, 1932, 563, 2752, 2553, 946, 513, 1164, 4110, 540, 6639, 10124, 547, 954, 331, 864, 519, 14245, 609, 3059, 1344, 602, 568, 711, 1175, 4143, 855, 814, 519, 1034, 8458, 540, 1818, 513, 7503, 269, 898, 1131, 1152, 581, 1318, 602, 1079, 2553, 282, 519, 22048, 543, 8121, 960, 538, 512, 30802, 547, 7794, 1142, 824, 563, 8794, 10871, 22048, 1677, 14568, 681, 2658, 634, 4119, 7757, 18712, 454, 18814, 547, 519, 2132, 1373, 3177, 547, 9541, 538, 519, 5420, 568, 519, 1292, 2601, 3297, 519, 1967, 540, 1585, 2853, 538, 519, 3059, 12106, 269, 1280, 519, 4213, 267, 2094, 972, 568, 606, 5140, 2132, 547, 519, 2009, 3811, 5092, 267, 621, 1131, 1246, 602, 972, 568, 606, 24539, 547, 6108, 811, 18304, 540, 2724, 538, 519, 1360, 13287, 269, 898, 1131, 1287, 1246, 602, 1007, 2553, 616, 3808, 547, 581, 6836, 856, 538, 5009, 1870, 2238, 982, 9170, 3116, 19403, 811, 454, 2252, 2479, 972, 568, 513, 3586, 950, 621, 2501, 547, 2029, 543, 922, 3156, 267, 1287, 621, 814, 547, 581, 519, 1689, 602, 8952, 9648, 689, 942, 547, 942, 269, 589, 1883, 3693, 538, 519, 4367, 540, 2242, 568, 519, 865, 10777, 1252, 1049, 10593, 602, 1491, 1747, 538, 519, 946, 540, 2029, 269, 1452, 2242, 616, 811, 27290, 982, 519, 1554, 547, 1554, 7648, 543, 1448, 547, 1007, 3206, 538, 519, 2361, 563, 763, 10083, 540, 2104, 1357, 1646, 568, 519, 4947, 540, 2085, 540, 519, 5985, 8924, 269, 1703, 568, 513, 17282, 540, 519, 16389, 950, 621, 2501, 547, 17774, 532, 519, 1357, 607, 3379, 547, 519, 811, 1455, 946, 540, 519, 11380, 339, 3591, 540, 519, 4505, 2395, 269, 4935, 621, 568, 1152, 10257, 602, 2242, 616, 2808, 547, 3077, 519, 5985, 3593, 1732, 607, 519, 2104, 540, 519, 5769, 6013, 538, 519, 3946, 540, 519, 3593, 563, 763, 1034, 8037, 4183, 540, 519, 3156, 3710, 609, 519, 4911, 983, 23404, 10850, 568, 519, 2656, 6114, 789, 1683, 543, 519, 6422, 2470, 540, 741, 2773, 269, 25392, 602, 5051, 972, 568, 519, 10296, 991, 547, 723, 1483, 6066, 6383, 5359, 543, 971, 2934, 267, 519, 4911, 983, 23404 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 547, 1246, 513, 1164, 1922, 756, 516, 2732, 543, 1491, 561, 1314, 2510, 269, 2659, 4387, 786, 18973, 827, 713, 2126, 563, 5278, 1453, 723, 2042, 9013, 741, 6367, 1564, 630, 11312, 601, 538, 11666, 775, 1070, 799, 666, 2063, 2394, 789, 2811, 513, 21717, 543, 581, 1360, 1253, 7675, 563, 11854, 752, 547, 707, 13382, 952, 713, 568, 513, 1966, 269, 1411, 666, 849, 1224, 5796, 827, 3037, 532, 538, 1453, 563, 2467, 568, 513, 1507, 7872, 602, 707, 1126, 949, 991, 513, 8628, 588, 5448, 563, 22033, 827, 707, 1126, 454, 2252, 707, 1126, 814, 1044, 4299, 676, 670, 15077, 577, 338, 1440, 2426, 781, 2068, 267, 707, 4791, 2319, 786, 1780, 1344, 827, 873, 593, 547, 519, 2817, 5556, 523, 1388, 1323, 28109, 543, 27824, 15302, 32310, 6796, 630, 10998, 2752, 11403, 306, 1916, 1607, 2337, 3744, 1413, 585, 1732, 2081, 547, 2061, 543, 1521, 713, 2783, 269, 1411, 666, 1904, 856, 540, 519, 11578, 693, 1022, 942, 563, 8340, 856, 811, 827, 519, 12135, 2752, 11403, 306, 11578, 593, 519, 717, 10976, 269, 20084, 3896, 454, 17273, 2063, 12649, 281, 476, 2767, 5130, 476, 1708, 274, 454, 9202, 2689, 1813, 281, 476, 2767, 5130, 476, 1708, 277, 0, 290, 3951, 306, 4968, 273, 8950, 17978, 454, 272, 269, 1496, 275, 7436, 316, 6736, 1373, 11105, 538, 513, 7014, 10518, 267, 4578, 13017, 23771, 10873, 543, 8416, 23771, 10873, 1142, 2308, 513, 1297, 540, 2147, 4610, 538, 741, 2212, 619, 630, 328, 4318, 269, 513, 2361, 3957, 1412, 311, 262, 5526, 538, 519, 2212, 619, 540, 1312, 6106, 267, 543, 519, 1909, 540, 1412, 311, 262, 568, 2147, 585, 1312, 6106, 1916, 26368, 1614, 3982, 20927, 4610, 602, 616, 2838, 585, 519, 2953, 5106, 540, 1312, 4578, 13017, 23771, 543, 8416, 23771, 10873, 269, 1280, 1142, 540, 891, 1614, 4610, 912, 320, 269, 4766, 922, 6093, 1909, 267, 543, 454, 321, 269, 1683, 606, 1383, 547, 6542, 1946, 741, 1412, 706, 6473, 262, 1281, 711, 6338, 11991, 21336, 3599, 563, 273, 269, 1496, 275, 7436, 316, 6333, 513, 3247, 7146, 2914, 7159, 7014, 602, 18271, 1152, 2942, 8622, 18488, 630, 2793, 290, 298, 338, 1070, 543, 1100, 2318, 8622, 18488, 630, 19272, 338, 1916, 320, 269, 4766, 1018, 942, 8083, 1131, 991, 547, 581, 16516, 267, 543, 454, 321, 269, 2491, 1946, 606, 8028, 298, 2861, 7014, 568, 2356, 9053, 547, 513, 715, 19272, 2861, 7014, 563, 274, 269, 1496, 275, 7436, 316, 715, 3941, 4448, 1210, 3044, 29040, 25494, 2308, 513, 3059, 17683, 10325, 602, 6087, 1142, 6843, 547, 3713, 7406, 21611, 1354, 1142, 7406, 781, 11974, 636, 21128, 563, 320, 269, 2491, 875, 519, 3044, 781, 17683, 10325, 6087, 21611, 547, 581, 9571, 563, 321, 269, 27539, 602, 19219, 5025, 543, 19219, 5174, 616, 4448, 676, 513, 2582, 25494, 10126, 269, 19219, 5025, 18993, 1080, 513, 5311, 540, 476, 278, 19229, 32412, 2862, 1412, 288, 262, 3197, 543, 18271, 1256, 26027, 547, 1412, 25247, 262, 519, 1915, 547, 606, 476, 279, 19229, 31632, 269, 6684, 267, 19219, 5174, 18993, 1080, 513, 5311, 540, 476, 278, 19229, 32412, 2862, 1412, 289, 262, 3197, 543, 18271, 1256, 26027, 547, 1412, 25247, 262, 1142, 1915, 547, 606, 476, 279, 19229, 31632, 269, 630, 4462, 9418, 12264, 264, 8263, 602, 519, 10299, 25466, 616, 711, 20206, 4327, 609, 519, 3044, 25494, 840, 600, 1076, 267, 20927, 267, 543, 11974, 636, 910, 1152, 519, 3197, 1412, 288, 262, 543, 1412, 289, 262, 616, 10299, 563, 291, 6938, 310, 6730, 23370, 31304, 23813, 589, 700, 5723, 21822, 3633, 667, 8656, 16165, 4456, 799, 9727, 875, 519, 18993, 3827, 540, 19219, 5025, 543, 19219, 5174, 616, 23876, 593, 519, 5911, 267, 543, 5693, 2982, 875, 519, 16580, 540, 519, 1412, 288, 268, 30084, 262, 543, 519, 1412, 289, 268, 30084, 262, 666, 581, 9571, 676, 1142, 6843, 563, 275, 269, 1496, 275, 7436, 316, 6333, 519, 1739, 3060, 23289, 9967, 540, 17176, 543, 14747, 912, 295, 739, 338, 3715, 4296, 609, 1142, 824, 1210, 5691, 2275, 1844, 7057, 1354, 14379, 1022, 1239, 269, 634, 1739, 4296, 616, 3964, 538, 519, 1931, 2016, 267, 543, 1142, 4276, 568, 4628, 3964, 1354, 519, 1985, 4276, 3801, 568, 862, 10642, 269, 634, 5691, 2275, 1844, 3726, 1297, 7084, 1412, 14607, 3596, 332, 262, 2141, 23297, 519, 9803, 30694, 5691, 2275, 1844, 3726, 630, 611, 4765, 1310, 1449, 729, 5950, 264, 1297, 593, 1142, 3095, 267, 4358, 609, 4642, 269, 27539, 602, 519, 5311, 540, 4296, 568, 19469, 267, 602, 568, 267, 519, 1101, 4276, 1869, 6818, 950, 519, 2034, 4276, 568, 3964, 267, 543, 865, 593, 563, 272, 269, 21118, 667, 13462, 547, 21118, 670, 563, 273, 269, 21118, 645, 13462, 547, 21118, 717, 563, 274, 269, 21118, 674, 13462, 547, 21118, 589, 563, 275, 269, 21118, 670, 13462, 547, 21118, 595, 563, 276, 269, 21118, 594, 13462, 547, 21118, 661, 563, 277, 269, 21118, 670, 13462, 547, 21118, 808, 563, 24876, 519, 5691, 2275, 1844, 3726, 7515, 585, 1142, 540, 519, 17176, 1310, 782, 4296, 723, 1044, 3964, 563, 276, 269, 1496, 275, 7436, 316, 6333, 519, 6765, 540, 6835, 538, 606, 4950, 1740, 539, 1604, 538, 799, 519, 2707, 543, 10278, 9136, 616, 1082, 554, 3591, 6306, 269, 9442, 1063, 11397, 9136, 10596, 998, 513, 3126, 540, 31425, 267, 543, 972, 949, 581, 2789, 11444, 1063, 1022, 2707, 543, 10278, 269, 14066, 6835, 1590, 581, 27929, 543, 556, 553, 5145, 1194, 1210, 835, 540, 1079, 2009, 2994, 912, 1492, 1101, 4640, 3322, 6526, 13586, 1142, 5048, 693, 519, 2707, 6843, 267, 543, 1287, 556, 553, 5145, 1782, 873, 693, 519, 10278, 6843, 563, 1492, 2034, 4640, 3322, 6526, 13586, 1142, 5048, 693, 519, 2707, 6843, 267, 556, 553, 5145, 1782, 543, 556, 1922, 4048, 13586, 873, 693, 13591, 31425, 267, 543, 3803, 556, 553, 12273, 693, 519, 10278, 6843, 563, 320, 269, 1280, 1142, 4640, 267, 4766, 519, 4610, 540, 513, 8416, 23771, 20927, 2556, 547, 1489, 519, 4640, 563, 321, 269, 2060, 4704, 547, 1079, 3982, 1806, 267, 4766, 6381, 1141, 1142, 540, 519, 2994, 1131, 581, 9053, 936, 519, 824, 269, 0, 30538, 32257, 19413, 281, 5020, 9452, 267, 12713, 543, 12700, 454, 2005, 568, 606, 796, 11069, 4809, 536, 30629, 602, 568, 9927, 883, 513, 10875, 1395, 14663, 609, 519, 6273, 5812, 4674, 540, 513, 812, 269, 1656, 519, 1482, 6763, 3020, 585, 519, 1646, 540, 513, 1268, 1107, 621, 568, 18094, 543, 11428, 602, 5012, 547, 519, 5137, 540, 513, 10828, 945, 3788, 31960, 538, 1686, 676, 16495, 540, 1010, 3527, 269, 3143, 812, 568, 4535, 1390, 269, 634, 9661, 540, 8575, 32257, 19413, 267, 606, 4095, 6205, 4171, 32344, 4978, 543, 2282, 2173, 4275, 31397, 10781, 1118, 1864, 606, 18368, 15197, 1268, 267, 568, 2943, 1776, 21981, 547, 713, 1249, 563, 300, 2129, 663, 553, 10127, 600, 577, 663, 19413, 267, 3976, 3957, 593, 1010, 4332, 538, 28769, 7171, 541, 593, 5239, 273, 267, 476, 5908, 280, 267, 729, 4843, 609, 519, 2140, 8575, 32257, 630, 32173, 958, 24758, 547, 968, 24030, 9997, 14615, 950, 621, 729, 4767, 602, 519, 812, 3771, 321, 1819, 1369, 1864, 4401, 268, 17641, 786, 543, 1850, 687, 540, 2648, 602, 4847, 1864, 547, 29608, 1875, 8686, 2723, 775, 1256, 1498, 646, 729, 693, 519, 8391, 1439, 540, 522, 617, 956, 540, 5208, 543, 21440, 563, 288, 17400, 800, 16145, 693, 519, 1272, 540, 8575, 32257, 19413, 2386, 19267, 513, 30642, 4605, 540, 513, 16950, 1652, 812, 945, 8604, 547, 581, 593, 519, 2619, 540, 32660, 543, 5126, 782, 1010, 1272, 267, 855, 513, 6251, 6514, 540, 1010, 1272, 8761, 602, 19413, 8149, 1010, 2671, 540, 9073, 543, 1010, 7209, 568, 30096, 607, 1169, 812, 779, 568, 269, 1656, 621, 568, 713, 2460, 602, 26182, 6634, 540, 1010, 23507, 3464, 1472, 519, 1158, 2221, 1107, 519, 7872, 540, 6439, 4328, 835, 779, 9073, 543, 7432, 936, 513, 1007, 6978, 865, 607, 547, 1291, 513, 16180, 1272, 676, 900, 6819, 519, 3527, 540, 8575, 32257, 19413, 563, 294, 16905, 779, 6689, 729, 676, 1100, 1797, 513, 5347, 3460, 269, 1261, 729, 513, 4626, 573, 1762, 7911, 945, 729, 27268, 9793, 269, 769, 1249, 267, 972, 568, 1100, 9740, 581, 329, 1168, 9934, 1010, 6689, 267, 543, 519, 1152, 4063, 2914, 20564, 3693, 540, 713, 1974, 540, 1010, 1272, 568, 602, 646, 10268, 1390, 8699, 540, 1915, 1256, 607, 513, 1126, 269, 3502, 1152, 729, 646, 5676, 1441, 267, 855, 646, 1185, 8098, 10928, 5837, 2418, 269, 898, 568, 5312, 1194, 602, 646, 15189, 547, 5299, 689, 1010, 1362, 19898, 1256, 1498, 519, 2875, 32380, 7000, 606, 2626, 547, 19413, 267, 543, 1904, 539, 547, 6060, 1970, 7436, 936, 32533, 538, 513, 1449, 269, 898, 949, 849, 581, 7074, 602, 519, 1762, 19413, 814, 1390, 3942, 4250, 543, 1223, 2760, 5838, 513, 1857, 4633, 563, 2005, 729, 609, 519, 2669, 540, 1010, 4651, 538, 476, 6642, 276, 269, 3057, 3072, 543, 4166, 547, 581, 513, 4651, 267, 19413, 729, 5185, 609, 6710, 543, 8359, 547, 2951, 547, 4789, 547, 2347, 1010, 2069, 269, 2311, 713, 795, 15802, 267, 646, 11402, 519, 8801, 2360, 540, 519, 6615, 4369, 540, 1010, 22634, 2818, 950, 789, 12219, 547, 26723, 2350, 1125, 1864, 952, 646, 4682, 13383, 607, 621, 729, 3494, 547, 8764, 622, 513, 812, 269, 19413, 267, 2705, 267, 11542, 1010, 2666, 538, 606, 2085, 950, 22634, 729, 519, 3490, 540, 513, 2146, 563, 2005, 729, 1010, 588, 842, 607, 513, 536, 1551, 3563, 538, 3162, 4000, 1310, 646, 6192, 1010, 2090, 602, 4957, 519, 1576, 540, 1010, 1272, 269, 19413, 729, 10707, 538, 519, 1101, 1362, 26654, 540, 513, 5721, 547, 2743, 513, 7817, 950, 513, 3043, 812, 9411, 519, 26654, 269, 769, 4000, 267, 10168, 729, 14762, 543, 513, 3043, 812, 6743, 1524, 2390, 11954, 2367, 607, 10437, 267, 28000, 540, 519, 20340, 540, 519, 8545, 269, 634, 3043, 812, 10288, 602, 19413, 4734, 602, 3296, 540, 519, 5721, 267, 543, 950, 646, 15189, 547, 16783, 267, 19413, 729, 859, 1112, 539, 689, 519, 5721, 269, 17652, 1310, 713, 267, 646, 729, 7142, 547, 1694, 22290, 519, 9920, 540, 513, 16455, 593, 513, 4411, 3781, 1498, 646, 6976, 519, 24214, 540, 519, 11878, 538, 2407, 267, 585, 519, 6852, 2601, 602, 646, 729, 513, 11954, 812, 543, 519, 16455, 729, 4904, 609, 3043, 11570, 269, 589, 1906, 1296, 2663, 267, 19413, 729, 849, 812, 8518, 1194, 14697, 958, 676, 513, 2384, 17507, 538, 519, 3781, 3274, 1317, 646, 729, 20705, 547, 519, 968, 12294, 892, 3296, 540, 519, 2486, 269, 8575, 32257, 19413, 9927, 689, 513, 4626, 573, 1762, 812, 547, 6205, 945, 1131, 1291, 519, 31345, 12075, 538, 4000, 883, 17516, 741, 2924, 563, 5319, 878, 1117, 609, 519, 2833, 540, 3162, 4000, 267, 543, 2348, 1044, 5189, 547, 519, 1523, 540, 968, 338, 611, 27558, 3873, 892, 799, 1572, 585, 8066, 593, 547, 5168, 543, 32660, 269, 898, 568, 689, 713, 1523, 602, 19413, 19775, 9045, 344, 27558, 3873, 630, 1231, 14571, 593, 5168, 1070, 513, 16495, 646, 840, 3737, 543, 13736, 782, 1010, 1272, 267, 543, 621, 568, 998, 9045, 344, 27558, 3873, 543, 513, 327, 15501, 320, 630, 12061, 8686, 2723, 775, 264, 602, 19413, 5391, 23306, 3127, 689, 519, 804, 583, 2583, 540, 519, 3703, 4341, 563, 21982, 513, 12247, 540, 13767, 756, 2329, 630, 12898, 521, 3931, 476, 275, 1453, 609, 1010, 7385, 1070, 20757, 1143, 267, 1875, 8686, 2723, 775, 543, 1875, 31281, 16670, 267, 19413, 6612, 2299, 9250, 1010, 5692, 540, 10825, 2648, 1851, 519, 1004, 540, 3127, 543, 5249, 24491, 8393, 585, 519, 10304, 540, 519, 20495, 267, 7092, 3296, 540, 519, 5095, 269, 772, 660, 13224, 1464, 267, 7130, 2059, 3909, 543, 22237, 3515, 543, 5208, 941, 513, 1906, 1919, 646, 588, 17311, 547, 30817, 563, 1432, 568, 5963, 5863, 827, 519, 1272, 540, 19413, 568, 602, 646, 2968, 513, 1268, 945, 19310, 1243, 32584, 10847, 689, 1004, 945, 2760, 4718, 1864, 538, 741, 2729, 269, 19413, 1185, 12219, 547, 3728, 21349, 2669, 693, 1978, 2798, 538, 1686, 950, 1004, 941, 4742, 1964, 1652, 543, 941, 759, 15659, 547, 5208, 547, 3035, 3084, 5191, 267, 543, 4012, 1227, 267, 5208, 1705, 3247, 585, 713, 812, 563, 294, 16905, 729, 513, 1582, 13402, 10828, 269, 1261, 2386, 1705, 1118, 9073, 1107, 646, 10057, 1875, 268, 557, 1326, 4115, 1426, 1498, 1010, 4984, 17246 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1452, 2395, 267, 3621, 5238, 1533, 2797, 8369, 693, 786, 269, 2368, 2487, 3377, 3688, 1397, 873, 29780, 741, 8369, 3564, 1018, 519, 1239, 4805, 1522, 5815, 563, 16954, 1637, 281, 589, 3126, 593, 2518, 2551, 538, 3163, 693, 519, 1439, 540, 5147, 3769, 513, 4457, 1857, 3609, 4274, 10213, 3624, 1018, 547, 798, 827, 922, 835, 30512, 3609, 267, 272, 513, 1629, 19212, 693, 17459, 20588, 10213, 519, 6167, 875, 547, 1788, 2518, 2551, 3466, 267, 273, 543, 1776, 4274, 7234, 519, 968, 5725, 728, 540, 17498, 1944, 1848, 274, 454, 3080, 8966, 2376, 538, 519, 3126, 729, 676, 6424, 5689, 752, 4752, 267, 513, 5856, 630, 2254, 513, 10196, 1070, 945, 4280, 267, 968, 6701, 811, 1004, 8209, 513, 1966, 9495, 275, 1261, 5143, 875, 519, 11317, 540, 7557, 23147, 267, 968, 320, 533, 31186, 9390, 540, 7725, 267, 10007, 543, 5070, 892, 538, 15057, 267, 1031, 547, 2661, 538, 3765, 30514, 6710, 543, 27945, 1145, 269, 4653, 267, 476, 272, 269, 276, 2929, 1004, 1289, 621, 1753, 267, 543, 616, 1454, 1732, 1055, 269, 4317, 543, 2804, 2242, 4847, 519, 2551, 547, 968, 2958, 2240, 2899, 1532, 541, 1066, 15113, 1938, 267, 5368, 341, 580, 28672, 17528, 11934, 267, 2569, 4332, 3928, 267, 543, 2333, 7693, 2504, 543, 26038, 2223, 5885, 519, 4831, 10784, 30698, 2856, 968, 7474, 4028, 1480, 2551, 2208, 267, 1256, 538, 930, 540, 3047, 779, 1743, 5006, 267, 1034, 4101, 5054, 267, 568, 711, 8209, 513, 11600, 585, 9568, 11652, 666, 1256, 3142, 2640, 1848, 2859, 1004, 5921, 811, 5647, 267, 811, 4074, 543, 811, 2797, 9525, 269, 1261, 3773, 912, 4517, 7557, 752, 657, 3884, 1406, 4805, 269, 769, 824, 2182, 1790, 5962, 4525, 267, 3173, 616, 4466, 602, 1256, 23292, 2551, 2208, 666, 581, 10483, 676, 930, 9670, 3466, 27137, 607, 2799, 3529, 3382, 267, 811, 11327, 11396, 543, 11615, 267, 543, 4824, 1134, 5630, 269, 6270, 2164, 616, 4946, 1007, 4492, 547, 1279, 29280, 7440, 602, 22406, 2338, 4805, 1810, 1406, 3313, 519, 4539, 540, 2551, 2208, 267, 543, 602, 513, 1950, 3575, 540, 2528, 267, 8739, 31754, 267, 543, 7350, 849, 4249, 513, 1909, 269, 634, 4681, 616, 849, 5710, 532, 1719, 538, 519, 960, 540, 513, 21722, 20636, 30168, 945, 13934, 6671, 18765, 827, 519, 25680, 4539, 540, 811, 1004, 11652, 616, 9870, 13922, 602, 1256, 519, 30529, 267, 16595, 21212, 4525, 1223, 267, 609, 519, 1318, 3575, 540, 4507, 267, 11878, 856, 519, 2518, 2551, 23329, 2507, 563, 25594, 7335, 593, 1212, 341, 29335, 0, 29797, 2135, 807, 267, 610, 3834, 2135, 2747, 267, 568, 513, 27690, 2783, 538, 799, 519, 1560, 607, 513, 2898, 630, 2102, 1968, 1242, 3834, 2135, 807, 264, 610, 513, 3148, 540, 519, 1560, 630, 339, 22568, 3834, 2135, 807, 264, 568, 27226, 540, 7850, 5135, 3761, 269, 29938, 538, 27555, 5135, 9830, 666, 581, 851, 540, 519, 3339, 17550, 267, 585, 1383, 267, 1282, 588, 1066, 6681, 2168, 3635, 269, 589, 25314, 2255, 1063, 5135, 3761, 543, 922, 3747, 693, 519, 10408, 1377, 949, 1267, 538, 513, 3834, 16464, 2783, 269, 14523, 2135, 807, 538, 799, 972, 568, 2347, 22975, 540, 5135, 3761, 568, 5219, 547, 607, 606, 2135, 807, 563, 29797, 2135, 807, 15320, 689, 3834, 2135, 8598, 538, 602, 267, 538, 519, 8545, 267, 519, 5135, 5834, 1369, 519, 27555, 1973, 568, 25983, 958, 1970, 269, 898, 568, 2009, 547, 1995, 3834, 2135, 807, 543, 723, 513, 1970, 5135, 1543, 630, 324, 3052, 1421, 1813, 547, 17350, 264, 855, 2226, 1164, 5135, 9864, 2604, 630, 335, 302, 273, 1040, 5549, 8091, 946, 540, 891, 2474, 666, 3362, 1291, 547, 10539, 267, 2523, 607, 3834, 2135, 8598, 568, 1851, 519, 3123, 540, 3834, 2135, 807, 630, 514, 3834, 2135, 2438, 3834, 2135, 807, 1916, 14197, 1242, 3834, 2135, 807, 4386, 538, 2635, 1004, 950, 789, 10841, 754, 547, 1164, 15820, 267, 1141, 621, 3123, 15820, 19210, 3056, 547, 5732, 14603, 8374, 281, 1164, 15820, 17422, 30046, 630, 295, 4338, 292, 264, 543, 1164, 15820, 19548, 30046, 630, 295, 19781, 1040, 14523, 2135, 807, 849, 4386, 538, 2635, 2043, 950, 7244, 23399, 540, 9362, 609, 513, 1970, 5135, 1543, 267, 552, 3052, 269, 1247, 11362, 14015, 2523, 950, 1210, 6806, 2275, 1844, 3726, 6450, 805, 615, 1949, 602, 1852, 519, 2179, 540, 5135, 538, 519, 13859, 2011, 269, 589, 7646, 543, 1875, 1673, 600, 1645, 26740, 3834, 2135, 807, 568, 1031, 17543, 1282, 15820, 5721, 902, 547, 1020, 606, 18942, 2773, 9542, 693, 1312, 519, 11528, 543, 10408, 1377, 563, 29797, 2135, 807, 568, 849, 513, 3978, 12343, 540, 840, 3410, 4332, 538, 519, 19440, 622, 269, 634, 1292, 2014, 585, 713, 568, 602, 519, 9641, 540, 519, 1480, 21565, 616, 1851, 519, 2063, 8219, 547, 1020, 1282, 6379, 269, 1677, 4217, 519, 9641, 547, 15814, 5135, 730, 1973, 2429, 519, 1560, 267, 12256, 693, 1981, 540, 3834, 2135, 807, 616, 1419, 5116, 3330, 606, 17861, 1807, 5827, 540, 3246, 6024, 2318, 21572, 2604, 630, 10193, 1634, 607, 513, 18519, 545, 1026, 1916, 1103, 3425, 267, 3834, 2135, 807, 568, 9571, 676, 2447, 648, 1061, 832, 538, 519, 25558, 573, 1560, 269, 901, 3210, 1281, 711, 1852, 14910, 2557, 693, 3339, 533, 302, 273, 267, 855, 2630, 3339, 519, 2534, 540, 11409, 7961, 969, 908, 891, 13364, 4679, 13497, 267, 865, 1454, 865, 547, 936, 20183, 519, 6786, 689, 3844, 2447, 648, 1061, 832, 538, 519, 20968, 31726, 267, 2810, 533, 302, 273, 5103, 513, 9991, 533, 4596, 273, 454, 1607, 1257, 3096, 1570, 689, 9504, 454, 997, 10234, 896, 16671, 15760, 4149, 288, 454, 24357, 5974, 693, 519, 2160, 540, 17665, 693, 27257, 543, 9164, 723, 4362, 602, 28720, 519, 15084, 20842, 603, 668, 344, 11142, 7258, 519, 3044, 5227, 15084, 20786, 267, 524, 1030, 1794, 22223, 267, 6971, 3968, 3928, 4429, 763, 1101, 32760, 3644, 5829, 2669, 538, 519, 18626, 772, 2529, 269, 7018, 538, 4873, 540, 713, 1032, 267, 855, 1256, 1631, 267, 3275, 2663, 267, 1079, 3344, 540, 713, 2013, 3136, 547, 11015, 1072, 4966, 269, 3689, 267, 1946, 1705, 713, 3461, 5884, 286, 898, 568, 3833, 4429, 17954, 770, 16567, 607, 5227, 1765, 1721, 513, 2698, 540, 835, 1032, 543, 14311, 585, 3670, 3275, 1765, 322, 746, 2149, 9002, 543, 741, 31908, 689, 16349, 2669, 543, 3978, 3676, 543, 4688, 519, 772, 2529, 269, 811, 982, 1269, 275, 269, 274, 5479, 538, 1072, 1416, 4429, 763, 2634, 781, 6211, 9219, 22262, 19818, 538, 519, 3108, 1354, 3207, 267, 2687, 547, 513, 1353, 3370, 538, 519, 4760, 7186, 676, 3173, 689, 519, 3194, 4659, 540, 519, 17755, 650, 2160, 2657, 10418, 630, 6020, 5336, 308, 18449, 1916, 5319, 2809, 513, 4837, 540, 9174, 609, 12129, 610, 513, 3781, 5115, 1354, 5127, 267, 855, 1810, 1405, 1293, 593, 741, 2295, 2640, 563, 6124, 1382, 9060, 4719, 3604, 602, 948, 547, 2491, 1946, 930, 9002, 616, 4535, 8273, 610, 4130, 982, 1866, 269, 898, 849, 8761, 875, 4719, 3604, 1683, 606, 1271, 3095, 1063, 606, 1367, 781, 2038, 2208, 543, 4429, 1692, 798, 649, 6430, 952, 1945, 568, 4502, 519, 4674, 286, 589, 2319, 540, 3173, 689, 10228, 2160, 543, 772, 12710, 723, 1044, 4466, 856, 563, 288, 10464, 543, 2653, 547, 1118, 10991, 5642, 1570, 814, 1044, 3254, 547, 12954, 1007, 5642, 2208, 950, 5579, 5896, 538, 519, 838, 1149, 540, 14148, 543, 513, 24564, 781, 15693, 267, 3173, 1767, 13723, 563, 4692, 2348, 513, 1906, 10425, 948, 1004, 609, 4791, 4965, 1745, 1732, 888, 763, 9983, 23318, 602, 513, 2635, 4816, 7911, 729, 4535, 689, 513, 1007, 4480, 11544, 519, 5027, 540, 1079, 2021, 543, 513, 812, 12651, 607, 1082, 2055, 1765, 27023, 881, 543, 5683, 32737, 621, 3936, 956, 267, 4966, 1767, 13723, 269, 0, 763, 3203, 4659, 781, 3026, 777, 13457, 9197, 11726, 3832, 568, 711, 1152, 835, 540, 519, 9754, 781, 1034, 2487, 4203, 29792, 267, 855, 621, 781, 849, 519, 1034, 2347, 4528, 540, 513, 1835, 11726, 3832, 540, 922, 2186, 3544, 540, 10878, 1255, 269, 898, 781, 849, 3833, 513, 7294, 4062, 22924, 781, 1500, 909, 540, 811, 982, 476, 1220, 5515, 543, 3576, 1896, 4374, 547, 3888, 1765, 810, 1934, 616, 1175, 513, 1906, 8711, 269, 3683, 519, 1985, 1906, 4374, 267, 649, 3513, 1491, 513, 6251, 1413, 693, 930, 540, 519, 3877, 267, 865, 2015, 713, 707, 476, 6200, 563, 1700, 4340, 547, 10828, 267, 1835, 11726, 2583, 4266, 1394, 547, 519, 476, 1724, 628, 2540, 267, 855, 1806, 899, 713, 835, 6591, 8560, 538, 519, 476, 1240, 628, 2540, 269, 4438, 713, 942, 267, 7969, 28665, 1131, 14526, 547, 1294, 945, 1223, 723, 519, 4102, 543, 1034, 6946, 1835, 11726, 3832, 563, 1700, 1703, 616, 1614, 1292, 2694, 281, 519, 14844, 2032, 267, 519, 7788, 10586, 547, 519, 1352, 17731, 1091, 267, 543, 519, 512, 11232, 333, 6429, 269, 898, 1522, 3100, 9670, 602, 513, 512, 11232, 333, 6429, 4249, 971, 513, 7986, 1909, 267, 855, 3026, 777, 7035, 753, 4941, 547, 1294, 2933, 538, 519, 1835, 11726, 3832, 865, 972, 616, 8723, 1004, 945, 2099, 1082, 22825, 267, 1519, 855, 7129, 267, 12372, 267, 543, 29380, 655, 784, 619, 563, 1700, 1703, 616, 476, 2004, 2831, 538, 519, 1835, 11726, 3832, 267, 1519, 9640, 267, 16933, 267, 13265, 267, 23161, 267, 17944, 267, 2881, 12399, 267, 5243, 267, 543, 7314, 563, 1700, 634, 6189, 568, 6273, 676, 10878, 1255, 3294, 269, 6733, 585, 30617, 267, 10766, 1811, 267, 543, 4936, 9587, 24188, 540, 476, 1240, 628, 10601, 10878, 1255, 563, 1700, 3509, 540, 519, 5515, 538, 519, 1835, 11726, 3832, 5957, 741, 3312, 16536, 23157, 1500, 538, 519, 10424, 16536, 12051, 538, 5842, 2274, 18676, 334, 563, 1700, 634, 3615, 602, 1118, 909, 519, 1835, 11726, 3832, 941, 1419, 711, 1500, 676, 9910, 4405, 1235, 267, 855, 676, 12665, 945, 9903, 730, 741, 3649, 637, 538, 20538, 269, 1280, 1383, 267, 519, 14446, 729, 6752, 539, 676, 13049, 619, 543, 2882, 14147, 267, 799, 729, 3810, 17028, 7458, 693, 519, 942, 563, 1700, 1656, 5310, 1034, 11932, 267, 1813, 547, 922, 10347, 2470, 267, 621, 666, 1152, 581, 593, 2070, 585, 2947, 4374, 1169, 1032, 269, 901, 1032, 267, 621, 786, 979, 1055, 2070, 593, 5130, 476, 279, 267, 865, 1810, 1405, 7227, 2336, 24979, 11726, 3832, 267, 4571, 268, 1240, 628, 2540, 269, 10878, 1255, 269, 8176, 670, 269, 543, 6307, 674, 269, 1937, 31569, 14635, 267, 1520, 320, 12414, 321, 1638, 670, 1068, 548, 267, 4432, 18857, 654, 269, 9410, 22684, 543, 700, 2329, 14022, 712, 7482, 282, 11658, 13344, 540, 6004, 269, 543, 11427, 269, 6276, 715, 269, 7345, 267, 27692, 543, 27673, 11370, 517, 2335, 334, 543, 7731, 267, 543, 11427, 269, 7917, 744, 269, 23821, 8636, 563, 277, 3108, 476, 866, 1295, 3516, 634, 3203, 4659, 540, 9628, 9628, 590, 680, 1662, 12744, 338, 15011, 8432, 9539, 698, 344, 281, 8892, 10558, 267, 513, 24794, 8826, 593, 519, 645, 879, 27346, 14704, 945, 849, 1500, 1010, 1665, 538, 9628, 1765, 641, 2287, 693, 519, 3203, 4659, 5239, 476, 273, 563, 279, 3108, 476, 6078, 1295, 3516, 634, 3203, 4659, 540, 9628, 14160, 5308, 5058, 590, 7419, 31165, 1765, 17637, 9210, 529, 3941, 281, 634, 7073, 17348, 454, 18439, 519, 4720, 540, 519, 2413, 11381, 538, 519, 476, 736, 628, 2540, 609, 11599, 1806, 689, 15670, 899, 8176, 543, 14105, 661, 1868, 267, 2274, 4856, 24650, 1512, 543, 23770, 3131, 686, 663, 267, 543, 16452, 645, 15300, 807, 267, 1851, 1866, 563, 15578, 26827, 30204, 8863, 288, 7644, 1765, 10674, 2517, 4226, 269, 569, 270, 273, 323, 291, 275, 311, 344, 271, 454, 272, 1554, 476, 275, 3108, 3516, 634, 3203, 4659, 540, 9628, 14160, 5308, 5058, 14298, 2177, 1765, 21841, 11499, 9956, 454, 4407, 9956, 779, 2140, 3197, 1522, 723, 519, 1034, 2012, 6284, 267, 519, 645, 731, 779, 1199, 323, 1782, 26734, 543, 3765, 2151, 31773, 3655, 24809, 12563, 1419, 21102, 519, 1397, 269, 6423, 713, 5059, 10380, 1354, 621, 32195, 5239, 476, 1015, 269, 0, 19350, 616, 8711, 689, 938, 1034, 2487, 4203, 29792, 269, 3194, 22627, 18767, 922, 21777, 4203, 29792, 267, 2519, 593, 1346, 689, 1883, 3906, 543, 13746, 267, 547, 2697, 2200, 547, 4183, 1934, 563, 763, 7681, 1063, 1395, 565, 532, 783, 1453, 781, 2038, 1893, 5759, 543, 741, 2663, 2542, 2773, 568, 1134, 3964, 269, 1717, 267, 585, 2296, 1893, 6267, 267, 519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5540, 20251, 11033, 267, 5491, 3556, 7963, 267, 543, 1256, 1286, 12029, 269, 17957, 267, 950, 519, 3490, 2557, 12772, 267, 10211, 3790, 1831, 14949, 267, 543, 9494, 3587, 1447, 14785, 1813, 547, 2539, 7024, 780, 2080, 781, 1776, 4277, 1249, 827, 519, 7813, 540, 4789, 269, 2991, 11543, 7115, 267, 621, 4607, 606, 8763, 10637, 2389, 1173, 7566, 23626, 269, 1548, 1281, 602, 1611, 286, 26243, 267, 519, 2229, 3651, 338, 519, 7813, 513, 1808, 3804, 585, 5993, 3902, 2208, 269, 3465, 1836, 267, 519, 3077, 18795, 693, 476, 273, 9077, 6027, 1210, 1945, 1572, 519, 15053, 517, 1242, 12039, 540, 19901, 31245, 269, 1403, 10637, 14380, 1657, 713, 1377, 267, 519, 7813, 3217, 3527, 899, 9870, 1719, 3928, 547, 3142, 621, 1394, 1524, 780, 2414, 17412, 267, 1719, 3928, 1404, 513, 2629, 1909, 538, 938, 2729, 267, 12018, 3388, 689, 519, 2179, 649, 7118, 593, 938, 9806, 547, 519, 1942, 540, 6180, 326, 1137, 269, 6239, 8492, 267, 971, 607, 519, 7813, 540, 4789, 267, 5402, 4383, 891, 3928, 1759, 593, 2804, 10832, 547, 1832, 10637, 7123, 1247, 5807, 4264, 2208, 269, 4197, 875, 782, 540, 713, 1568, 2337, 721, 5660, 519, 10848, 540, 938, 2883, 1062, 543, 22316, 721, 585, 5483, 3375, 6194, 950, 7231, 609, 2123, 18083, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1607, 12031, 729, 2854, 607, 513, 14805, 894, 851, 540, 1250, 15938, 2090, 693, 519, 5507, 3427, 540, 13188, 563, 1103, 476, 1960, 278, 267, 519, 7813, 540, 4789, 729, 11292, 7115, 676, 267, 1287, 26554, 27891, 540, 519, 1401, 3832, 20960, 267, 23583, 9466, 269, 634, 7766, 2920, 540, 12057, 5795, 519, 9241, 4830, 7813, 10512, 1852, 936, 13075, 3609, 7405, 1107, 5097, 267, 519, 1852, 540, 519, 7813, 779, 3490, 23831, 1719, 2557, 1107, 543, 606, 8763, 10637, 2389, 1173, 7566, 23626, 630, 289, 1678, 540, 4789, 2920, 476, 1960, 279, 1040, 901, 3077, 267, 5462, 676, 519, 26554, 27891, 267, 729, 1305, 7620, 693, 476, 273, 269, 276, 260, 593, 519, 4825, 841, 12313, 12039, 630, 31342, 476, 1220, 274, 320, 264, 543, 729, 2663, 15428, 547, 476, 273, 269, 271, 260, 593, 519, 15053, 517, 2213, 12039, 540, 19901, 31245, 630, 31342, 476, 1220, 274, 321, 1040, 634, 4305, 540, 5870, 713, 3077, 729, 15518, 730, 547, 519, 9241, 4646, 3933, 8767, 8889, 9730, 630, 6573, 290, 1916, 763, 12233, 13408, 8370, 2818, 269, 9050, 2048, 1410, 4156, 685, 2818, 616, 2047, 5697, 676, 519, 26554, 27891, 543, 2947, 2048, 514, 4156, 685, 2818, 1107, 519, 17135, 267, 1079, 3493, 14280, 5041, 832, 543, 1079, 15445, 6034, 832, 540, 519, 7813, 1107, 616, 12912, 538, 524, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 29642, 1299, 18598, 1315, 14559, 1299, 3933, 8767, 8889, 1315, 9314, 26162, 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, 2878, 16215, 281, 5681, 2719, 5455, 543, 18391, 589, 3650, 12533, 14945, 1103, 713, 1770, 267, 649, 786, 1628, 2390, 938, 3408, 540, 17720, 2079, 676, 2519, 593, 519, 2956, 540, 2565, 3206, 543, 8086, 950, 621, 2501, 547, 28043, 519, 7941, 1063, 2123, 3961, 543, 24243, 269, 13018, 267, 649, 786, 1865, 875, 2870, 513, 14769, 543, 21882, 513, 834, 11764, 5455, 257, 7127, 666, 948, 6536, 7214, 2208, 543, 15052, 835, 781, 1620, 540, 20116, 269, 3414, 6297, 7156, 540, 519, 1739, 3584, 267, 596, 786, 1020, 519, 1983, 2556, 547, 4497, 609, 1950, 2093, 267, 5659, 1585, 3029, 540, 11407, 267, 543, 24808, 707, 1378, 4555, 543, 5380, 538, 513, 2312, 543, 8903, 6073, 780, 2162, 634, 10025, 540, 14506, 692, 8269, 29193, 2259, 3322, 3168, 1394, 593, 2250, 2833, 543, 6313, 873, 9691, 538, 1931, 547, 1451, 689, 873, 543, 2087, 2104, 2773, 269, 901, 1184, 2636, 2043, 547, 2744, 5813, 883, 741, 1378, 2219, 3157, 267, 12886, 267, 10054, 267, 543, 1565, 6163, 269, 1635, 6220, 14436, 2853, 883, 707, 4081, 3460, 267, 596, 666, 3986, 707, 2702, 547, 1589, 9691, 543, 5968, 3927, 267, 1312, 540, 799, 616, 1898, 3334, 540, 17720, 2079, 780, 3080, 3226, 3730, 1907, 585, 5009, 1582, 26190, 568, 519, 834, 11764, 5455, 257, 7127, 269, 589, 834, 11764, 5455, 257, 7127, 3335, 2882, 519, 1739, 2609, 1384, 272, 269, 19461, 1234, 13905, 281, 14674, 707, 3355, 24221, 267, 4555, 267, 543, 4606, 3823, 519, 1641, 2339, 630, 514, 713, 2013, 267, 808, 7056, 8055, 607, 519, 13009, 4565, 1794, 518, 585, 3848, 476, 276, 1040, 1548, 1705, 596, 917, 827, 519, 9135, 1354, 4358, 713, 3184, 286, 21518, 972, 1022, 26608, 18727, 18765, 610, 11475, 602, 596, 2877, 547, 13720, 888, 273, 269, 4804, 6713, 281, 9181, 875, 707, 1620, 540, 519, 1570, 7960, 936, 942, 269, 1548, 2591, 1705, 596, 3068, 1247, 11264, 519, 8655, 13220, 543, 2238, 286, 1215, 1705, 596, 2232, 1346, 2591, 267, 543, 1018, 2994, 9863, 1034, 5363, 888, 274, 269, 22627, 547, 13405, 11310, 281, 10576, 1022, 4296, 1063, 519, 1576, 1543, 543, 707, 4540, 1702, 3490, 269, 3657, 972, 1022, 3105, 6030, 267, 2123, 2833, 267, 610, 29599, 2238, 602, 723, 5483, 707, 7664, 540, 519, 1570, 888, 275, 269, 29362, 717, 7134, 281, 11512, 875, 707, 5133, 814, 4957, 610, 1044, 23353, 607, 513, 1267, 540, 2502, 609, 519, 1576, 1543, 269, 5620, 707, 8369, 17146, 610, 1831, 811, 13857, 286, 9894, 596, 3605, 1022, 6397, 19320, 610, 32475, 1063, 1114, 5931, 610, 4589, 888, 276, 269, 8892, 20480, 281, 6333, 875, 519, 4030, 6591, 998, 713, 3635, 1522, 1217, 707, 5571, 4081, 18697, 610, 3318, 1646, 269, 4024, 596, 3343, 856, 3606, 2200, 1644, 547, 519, 1888, 286, 2052, 596, 4019, 891, 16012, 1983, 610, 24300, 538, 824, 8658, 888, 277, 269, 12833, 2787, 585, 24720, 281, 3752, 7228, 5955, 689, 707, 14357, 610, 9905, 269, 11559, 16268, 9880, 543, 1930, 5188, 547, 2417, 13217, 707, 10763, 5759, 780, 3528, 9846, 8026, 1582, 26190, 998, 834, 11764, 5455, 257, 13366, 267, 596, 786, 11349, 513, 4514, 7071, 585, 519, 1148, 540, 20116, 543, 922, 1909, 538, 5935, 1367, 9163, 543, 6848, 8155, 269, 5047, 267, 596, 786, 6542, 707, 7029, 547, 6024, 1565, 543, 6454, 1107, 7907, 3810, 12595, 538, 1312, 4081, 543, 3318, 5468, 780, 2162, 8490, 513, 5800, 12859, 692, 288, 14769, 568, 513, 4015, 540, 6054, 267, 19180, 2326, 267, 543, 824, 13742, 602, 13686, 606, 1367, 781, 18517, 267, 1983, 267, 543, 21941, 269, 1879, 1031, 538, 606, 3872, 2796, 267, 2823, 31987, 4196, 1896, 5301, 1384, 272, 269, 11657, 566, 540, 18776, 281, 1635, 11018, 2963, 540, 707, 1565, 936, 942, 267, 596, 666, 3950, 707, 2208, 267, 2697, 2127, 585, 6454, 267, 543, 1305, 3853, 585, 2104, 1646, 563, 273, 269, 23227, 566, 540, 9457, 344, 281, 10558, 532, 6405, 1806, 540, 707, 960, 2488, 15889, 6169, 540, 707, 15334, 538, 1585, 11890, 267, 1818, 621, 4443, 547, 13686, 707, 6791, 547, 1761, 12820, 610, 10927, 3506, 563, 274, 269, 11120, 10949, 540, 8682, 5025, 1087, 20156, 281, 17115, 17265, 707, 14769, 7512, 1558, 659, 10744, 1107, 519, 2702, 547, 1589, 827, 707, 1378, 3206, 1107, 7551, 5807, 513, 4514, 1620, 540, 707, 9342, 267, 12755, 267, 543, 7375, 563, 275, 269, 8871, 10056, 540, 17151, 13717, 4804, 281, 4354, 908, 513, 14769, 2429, 707, 4081, 4876, 2337, 3715, 6208, 540, 6024, 8086, 267, 2565, 3206, 267, 543, 1582, 21553, 2889, 22777, 602, 786, 4324, 596, 1279, 1310, 22692, 780, 2691, 3384, 707, 14769, 267, 2015, 1519, 519, 1739, 3688, 1384, 265, 6092, 11382, 29422, 543, 11673, 454, 265, 12143, 12987, 543, 21249, 7355, 454, 265, 30633, 338, 267, 26941, 267, 543, 3803, 8747, 540, 2854, 10467, 454, 265, 5564, 12855, 14245, 267, 7044, 267, 27143, 267, 610, 824, 3860, 3785, 454, 265, 25398, 8039, 267, 14357, 20241, 267, 610, 1582, 12431, 612, 906, 454, 265, 15845, 540, 5698, 267, 5718, 267, 610, 3028, 1369, 13460, 610, 2950, 692, 2026, 596, 29289, 891, 2326, 267, 11441, 547, 10891, 873, 538, 513, 9266, 543, 17396, 6073, 269, 1411, 1522, 3442, 547, 30387, 707, 960, 676, 9015, 267, 1788, 1826, 267, 610, 26567, 5311, 269, 17859, 540, 707, 6074, 2497, 267, 2327, 602, 707, 14769, 6645, 513, 1650, 827, 707, 7214, 2208, 543, 9687, 1620, 540, 20116, 780, 2162, 25021, 28644, 692, 3086, 602, 596, 723, 9715, 519, 13654, 1983, 2838, 585, 10647, 17720, 9382, 267, 1491, 930, 942, 547, 14719, 622, 875, 596, 666, 3136, 28798, 891, 5759, 3564, 519, 32604, 540, 713, 1576, 269, 2368, 10372, 1331, 1384, 272, 269, 7335, 4922, 2066, 11964, 543, 10459, 281, 1401, 2821, 3054, 547, 3309, 9739, 267, 5380, 267, 543, 12331, 540, 4082, 547, 22962, 707, 4612, 633, 20030, 563, 273, 269, 5900, 2056, 1857, 15872, 267, 9840, 267, 610, 8470, 5717, 281, 18918, 2047, 609, 4966, 543, 9439, 538, 1585, 4610, 547, 15052, 707, 1620, 540, 1699, 2152, 543, 3466, 563, 274, 269, 12160, 908, 538, 2228, 15473, 267, 1514, 2923, 5867, 267, 610, 4901, 12545, 281, 19928, 1393, 547, 5571, 7391, 4478, 4143, 3584, 267, 855, 849, 2611, 1930, 547, 4244, 16752, 543, 15852, 7440, 563, 275, 269, 18430, 532, 4830, 1382, 3785, 281, 623, 2720, 826, 2055, 610, 4690, 602, 8451, 1282, 519, 1576, 540, 707, 2090, 267, 5275, 5583, 689, 12200, 2818, 610, 23003, 607, 2877, 563, 276, 269, 11622, 908, 609, 9905, 593, 1895, 3785, 610, 7341, 281, 22676, 720, 519, 7104, 4987, 540, 707, 9164, 547, 5352, 3209, 2093, 267, 4161, 17888, 10054, 267, 543, 1711, 5499, 3435, 547, 1483, 8996, 2042, 780, 27407, 267, 4742, 606, 740, 30794, 12100, 528, 6509, 19329, 13455, 6278, 609, 1950, 2093, 267, 10770, 15819, 540, 3964, 8155, 267, 543, 26772, 11428, 547, 7214, 7279, 269, 1635, 8508, 891, 3741, 543, 10128, 873, 883, 707, 4081, 543, 2123, 2729, 267, 596, 786, 17216, 1118, 1713, 26058, 2509, 16734, 707, 2407, 652, 1761, 607, 513, 16159, 267, 12504, 267, 543, 1480, 1373, 269, 0, 2237, 513, 3102, 543, 538, 3829, 1837, 593, 1412, 16240, 6651, 609, 18361, 3299, 3358, 585, 2852, 1053, 563, 2171, 616, 1603, 593, 3184, 1412, 289, 5090, 3101, 519, 19147, 9737, 9608, 14740, 543, 6298, 8598, 8339, 769, 1880, 267, 3296, 1412, 21545, 12859, 281, 1215, 15154, 7600, 1227, 827, 31898, 7595, 18748, 338, 25827, 12618, 262, 540, 1412, 305, 2867, 5566, 5811, 281, 3955, 31147, 519, 3203, 540, 31898, 7595, 262, 851, 269, 3503, 513, 1007, 1770, 11331, 1412, 11764, 2719, 5455, 543, 18391, 589, 3650, 8339, 3371, 781, 930, 1257, 585, 6667, 281, 1323, 2500, 1259, 547, 2992, 1587, 1947, 568, 547, 17492, 513, 968, 11764, 5455, 892, 7127, 585, 3054, 602, 596, 666, 2671, 609, 707, 14357, 610, 9905, 269, 2659, 968, 8269, 3005, 593, 5811, 892, 949, 1331, 1018, 596, 6785, 540, 519, 9135, 1354, 2324, 593, 713, 3184, 543, 1018, 707, 3355, 6547, 941, 547, 2542, 827, 808, 7056, 8055, 607, 713, 3184, 779, 20417, 4565, 1794, 518, 269, 2608, 12663, 596, 1413, 4464, 547, 2542, 811, 540, 1010, 960, 286, 265, 780, 2521, 547, 581, 1384, 268, 21004, 281, 3550, 1360, 2143, 543, 538, 3829, 3795, 540, 519, 2035, 563, 268, 12056, 281, 3503, 609, 606, 4081, 543, 2502, 3159, 602, 7380, 919, 1719, 563, 268, 11930, 281, 2422, 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, 2252, 972, 616, 6310, 7215, 946, 513, 2953, 17623, 311, 11249, 269, 1684, 711, 946, 2592, 543, 2057, 2606, 2453, 971, 607, 834, 342, 4372, 547, 713, 1770, 257, 693, 519, 4098, 610, 8753, 519, 1439, 269, 0, 1262, 8702, 547, 901, 20861, 281, 5269, 606, 14914, 595, 716, 639, 25204, 4373, 5556 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 760, 10734, 4428, 518, 16212, 3248, 763, 16212, 17280, 585, 519, 512, 1399, 3926, 563, 268, 1785, 512, 1399, 318, 671, 4593, 561, 29171, 3248, 763, 1899, 9015, 585, 519, 512, 1399, 3926, 563, 268, 7227, 318, 28255, 318, 3650, 4671, 2328, 16062, 7159, 3248, 763, 7227, 318, 28255, 585, 519, 512, 1399, 1603, 1599, 269, 589, 454, 339, 1399, 9920, 1058, 12687, 713, 909, 547, 5365, 950, 621, 666, 4309, 811, 454, 268, 1785, 2165, 3930, 2608, 3410, 3930, 3248, 22437, 5793, 547, 519, 1699, 2165, 3930, 5468, 585, 519, 512, 1399, 3926, 563, 268, 5667, 11220, 1347, 11074, 281, 272, 3248, 5715, 545, 919, 2436, 519, 512, 1399, 3926, 568, 11074, 269, 634, 512, 1399, 9920, 666, 1305, 454, 268, 5667, 11220, 1347, 554, 342, 14067, 641, 6244, 281, 272, 3248, 5715, 545, 919, 2436, 610, 711, 519, 512, 1399, 3926, 781, 8800, 454, 529, 11074, 269, 634, 512, 1399, 9920, 666, 1305, 713, 1871, 563, 268, 5667, 11220, 1347, 1970, 9078, 520, 1890, 281, 272, 3248, 5715, 545, 919, 2436, 519, 512, 1399, 3926, 568, 513, 1970, 2000, 520, 1890, 3926, 267, 5827, 540, 454, 516, 576, 1516, 1239, 693, 513, 1360, 1164, 2557, 540, 3432, 269, 634, 512, 1399, 9920, 666, 1305, 454, 268, 5667, 11220, 1347, 14656, 281, 272, 3248, 5715, 545, 919, 2436, 519, 512, 1399, 3926, 568, 538, 519, 1647, 540, 14656, 519, 454, 1636, 269, 634, 512, 1399, 9920, 666, 1305, 713, 1871, 563, 268, 1785, 512, 1399, 5091, 18182, 9920, 3248, 763, 1699, 512, 1399, 5091, 18182, 2497, 602, 8060, 454, 10472, 512, 1399, 3926, 563, 268, 20704, 2608, 323, 18182, 12774, 3248, 288, 24072, 602, 519, 512, 1399, 5091, 18182, 666, 946, 547, 4558, 454, 11907, 2199, 547, 519, 512, 1399, 9920, 269, 901, 4756, 568, 711, 9168, 676, 519, 0, 18250, 291, 578, 749, 6019, 568, 1753, 547, 5017, 1336, 538, 519, 8225, 267, 1325, 548, 12174, 1014, 543, 8349, 15687, 2098, 2158, 269, 634, 2039, 538, 15038, 568, 10694, 547, 513, 1804, 3099, 540, 5017, 269, 1879, 10478, 585, 707, 5172, 267, 581, 1978, 711, 547, 11145, 519, 1604, 543, 1246, 1533, 543, 5313, 6042, 269, 2368, 2249, 616, 6870, 676, 1876, 269, 6969, 4058, 513, 7552, 267, 2689, 6042, 585, 519, 623, 529, 326, 1695, 2817, 11206, 676, 9683, 713, 3135, 269, 20002, 1336, 2429, 519, 1533, 267, 971, 607, 519, 9791, 12704, 267, 4414, 9315, 1400, 267, 2372, 841, 543, 8187, 11894, 616, 711, 3769, 593, 713, 3135, 563, 763, 13738, 3296, 540, 519, 715, 5861, 269, 16819, 532, 20417, 786, 581, 1930, 538, 4873, 476, 1220, 280, 269, 11352, 707, 5299, 1934, 2336, 763, 8225, 18630, 568, 4092, 538, 519, 32720, 6712, 540, 22413, 578, 749, 6019, 269, 634, 1739, 5017, 616, 1336, 24076, 3116, 538, 519, 1533, 912, 763, 10491, 9947, 1723, 568, 1336, 538, 1312, 519, 8225, 543, 1325, 548, 12174, 1014, 10851, 563, 763, 1325, 548, 12174, 1014, 610, 5912, 7997, 26328, 519, 7262, 3368, 540, 519, 10315, 269, 3371, 596, 786, 1265, 912, 4322, 5017, 4283, 519, 1325, 548, 12174, 1014, 10851, 689, 519, 8349, 15687, 855, 798, 711, 8831, 3564, 621, 883, 519, 8225, 912, 763, 8349, 15687, 610, 5580, 513, 14094, 7997, 2882, 519, 4571, 16687, 543, 9456, 3368, 540, 519, 10315, 269, 769, 519, 14860, 267, 2127, 2630, 476, 7742, 271, 3952, 267, 596, 786, 1265, 912, 4322, 5017, 849, 2039, 883, 519, 1325, 548, 12174, 1014, 912, 2026, 519, 4832, 5956, 547, 2842, 1524, 267, 1689, 3217, 1747, 269, 1306, 519, 2395, 1831, 10156, 267, 930, 2249, 5965, 547, 1847, 269, 1452, 10239, 1106, 513, 10375, 8905, 585, 5017, 14964, 519, 2011, 14768, 5045, 269, 589, 7848, 540, 5017, 267, 26414, 267, 2520, 3150, 267, 986, 696, 832, 543, 17984, 10581, 593, 8143, 543, 1219, 29193, 14768, 2066, 891, 15113, 543, 23898, 269, 3933, 1105, 338, 616, 3226, 726, 550, 3814, 538, 519, 1858, 4478, 519, 2107, 577, 731, 693, 16816, 777, 817, 269, 634, 2107, 577, 731, 2934, 543, 5993, 3933, 1105, 5305, 1142, 1032, 269, 0, 314, 283, 20155, 5851, 1923, 26257, 16103, 1923, 5440, 476, 1911, 1923, 4427, 2466, 16514, 3436, 2639, 28843, 19881, 16514, 1923, 8921, 16514, 3436, 11417, 347, 8575, 523, 8496, 665, 11406, 314, 14838, 1535, 476, 4343, 279, 795, 17989, 2639, 4462, 1652, 6382, 7150, 267, 713, 3239, 568, 519, 10677, 540, 519, 10505, 614, 269, 13555, 873, 585, 10479, 547, 16196, 621, 563, 347, 20373, 13466, 30538, 523, 8496, 665, 769, 30533, 539, 12942, 281, 630, 303, 578, 903, 267, 19301, 476, 280, 1240, 476, 14991, 994, 1607, 25412, 27485, 6149, 267, 3592, 476, 273, 269, 278, 15432, 538, 4463, 267, 6763, 1164, 593, 519, 4779, 832, 7258, 519, 4936, 4155, 267, 7203, 333, 24796, 269, 634, 5824, 30115, 267, 834, 291, 27263, 3722, 4785, 674, 6579, 296, 4785, 808, 4785, 2316, 15096, 808, 3722, 3951, 2580, 1631, 2352, 547, 1224, 267, 18922, 607, 834, 7723, 540, 667, 969, 659, 639, 267, 5067, 540, 3807, 639, 269, 1261, 6013, 1934, 2668, 6736, 922, 10073, 607, 513, 4936, 18189, 6149, 267, 621, 568, 2009, 602, 8575, 523, 8496, 665, 1185, 513, 1454, 811, 3504, 5169, 543, 949, 723, 1044, 25517, 538, 27705, 6520, 2053, 563, 5591, 8292, 269, 4208, 1810, 1405, 596, 979, 6619, 543, 2022, 835, 2336, 2414, 2022, 8292, 1101, 596, 1590, 19193, 2336, 300, 20235, 603, 545, 5800, 531, 552, 294, 718, 2044, 267, 2592, 540, 803, 6549, 603, 338, 543, 22300, 4609, 5001, 267, 1863, 547, 2070, 269, 0, 306, 2207, 22494, 17886, 910, 3487, 594, 910, 1323, 594, 7968, 12243, 6403, 338, 4985, 1677, 23398, 19884, 10495, 543, 10263, 27800, 12697, 454, 293, 23341, 19884, 10495, 454, 8512, 594, 910, 1323, 594, 7968, 12243, 6403, 338, 4985, 1677, 23398, 19884, 10495, 543, 10263, 27800, 12697, 454, 293, 23341, 8965, 4879, 568, 3622, 2808, 547, 581, 513, 1966, 9010, 1184, 585, 5466, 2875, 1966, 2623, 269, 898, 12346, 593, 513, 3099, 540, 2553, 543, 2994, 547, 2697, 519, 5301, 540, 1808, 2623, 543, 547, 948, 594, 7968, 6887, 2824, 7459, 547, 2047, 2232, 519, 1966, 2623, 269, 23398, 8965, 4879, 1058, 581, 7471, 267, 607, 3617, 267, 2429, 519, 1184, 540, 3384, 267, 17265, 267, 543, 267, 952, 2556, 267, 2847, 2358, 513, 2875, 6403, 338, 594, 7968, 269, 31334, 288, 6198, 8965, 4879, 5654, 3564, 519, 2623, 3294, 269, 634, 1445, 950, 10647, 513, 6198, 8965, 4879, 568, 593, 7114, 1713, 267, 20194, 10391, 1514, 267, 28146, 267, 5042, 267, 543, 5924, 2825, 2188, 2404, 609, 519, 12136, 630, 663, 1875, 31507, 5270, 264, 540, 1808, 5615, 269, 901, 6626, 5133, 3091, 513, 1732, 1620, 540, 519, 1599, 610, 3483, 3297, 2875, 2623, 563, 6826, 24173, 6304, 4566, 1759, 593, 606, 1620, 540, 834, 25585, 257, 513, 2875, 3765, 2041, 327, 2314, 616, 5393, 3730, 538, 5466, 513, 2647, 2039, 540, 1966, 5615, 269, 31334, 1607, 1007, 3126, 568, 2966, 547, 1683, 596, 609, 519, 2200, 2877, 547, 1174, 519, 28252, 540, 6198, 8965, 10526, 543, 8965, 6304, 4566, 538, 5466, 2875, 1966, 2623, 267, 607, 1134, 607, 1018, 519, 1876, 3340, 540, 1153, 13102, 609, 2543, 547, 891, 3584, 563, 763, 1101, 540, 713, 1614, 851, 3126, 6227, 519, 594, 7968, 2319, 781, 4367, 547, 6198, 8965, 4879, 543, 2623, 6304, 4566, 563, 2414, 1569, 519, 2407, 3390, 540, 713, 3923, 781, 15858, 5004, 10022, 267, 7730, 4953, 2818, 1058, 21189, 547, 31334, 1613, 543, 610, 4647, 513, 7300, 3758, 4528, 269, 0, 763, 10348, 27392, 454, 763, 10348, 27392, 454, 5629, 2390, 513, 942, 267, 1079, 2379, 806, 4682, 856, 538, 519, 1158, 547, 3343, 741, 6830, 17480, 269, 10251, 267, 789, 941, 2864, 27823, 267, 543, 267, 2348, 1500, 930, 2864, 18174, 880, 5079, 1247, 856, 538, 519, 1158, 267, 789, 941, 1932, 19849, 21724, 547, 2132, 547, 519, 19289, 563, 10190, 741, 1762, 7015, 267, 945, 729, 513, 21221, 267, 4682, 856, 547, 1413, 585, 1010, 14552, 269, 1879, 646, 1336, 873, 267, 789, 1152, 561, 13774, 1117, 693, 1864, 269, 5808, 1705, 713, 2241, 2023, 1589, 646, 729, 267, 5275, 1010, 19539, 888, 5445, 4956, 267, 2705, 267, 547, 2951, 1927, 269, 2991, 930, 942, 267, 789, 3357, 547, 606, 16320, 650, 269, 634, 1079, 9632, 14552, 1131, 723, 15504, 621, 1524, 547, 19225, 523, 519, 4057, 7786, 267, 855, 519, 2370, 21221, 1767, 267, 968, 32306, 519, 4057, 1919, 4805, 3034, 3383, 593, 789, 4682, 2394, 789, 3357, 547, 513, 10720, 1141, 1082, 26414, 941, 10977, 269, 634, 1079, 14552, 4941, 547, 6952, 1079, 543, 887, 770, 873, 585, 12129, 269, 1809, 519, 21221, 1767, 267, 968, 4131, 519, 4057, 1919, 2972, 2933, 269, 5213, 1405, 6146, 873, 3034, 4517, 865, 267, 593, 789, 4682, 269, 8921, 267, 789, 3357, 547, 513, 10987, 262, 9566, 538, 513, 17860, 3529, 282, 972, 729, 865, 1454, 9932, 602, 621, 10443, 1524, 519, 17657, 269, 634, 1079, 14552, 4941, 547, 1769, 513, 3595, 896, 519, 3529, 543, 6146, 519, 10987, 543, 1205, 693, 519, 9932, 269, 1809, 519, 21221, 4371, 873, 1394, 267, 543, 1767, 267, 968, 32306, 519, 7168, 7786, 4805, 3034, 5445, 4797, 593, 543, 6368, 3357, 547, 513, 14500, 269, 1306, 789, 5293, 676, 519, 588, 1963, 267, 789, 4718, 5386, 9640, 7555, 972, 267, 855, 782, 941, 540, 18899, 269, 1656, 972, 729, 18864, 827, 269, 3973, 789, 4682, 998, 782, 519, 14500, 11623, 267, 2394, 789, 3357, 547, 513, 7450, 609, 1614, 25437, 269, 769, 519, 1647, 540, 519, 7450, 972, 729, 513, 530, 1157, 564, 267, 865, 602, 789, 1223, 1413, 883, 519, 1985, 4055, 269, 1703, 789, 4718, 513, 2370, 2025, 812, 9361, 693, 513, 3349, 269, 1358, 1572, 547, 1864, 513, 7008, 2053, 267, 855, 646, 1705, 711, 5873, 269, 1879, 789, 1572, 513, 3791, 942, 267, 1498, 267, 646, 3893, 909, 543, 3357, 936, 547, 873, 563, 3891, 1767, 4986, 267, 855, 3576, 3180, 540, 873, 543, 3366, 873, 547, 513, 4190, 3349, 4988, 609, 782, 12204, 540, 1434, 1919, 547, 3548, 543, 4235, 269, 1879, 789, 1185, 8737, 741, 7594, 267, 646, 4951, 1142, 540, 873, 547, 513, 23103, 563, 763, 1985, 6640, 646, 3357, 547, 519, 7800, 652, 543, 3576, 1864, 547, 513, 18899, 3349, 267, 1141, 972, 941, 1614, 14342, 267, 10213, 875, 547, 2736, 519, 17134, 656, 618, 7133, 519, 14500, 269, 634, 1101, 16979, 1767, 281, 968, 1103, 519, 3574, 267, 896, 519, 21263, 267, 9114, 519, 8536, 15090, 3149, 10362, 547, 519, 4622, 781, 8250, 282, 789, 1590, 782, 581, 1336, 269, 1403, 835, 568, 7508, 693, 23863, 267, 646, 945, 11394, 873, 786, 581, 5828, 883, 18899, 3034, 763, 7800, 652, 7015, 1305, 856, 543, 6743, 585, 519, 15090, 3149, 519, 2898, 1554, 267, 855, 519, 10543, 3357, 269, 1261, 1185, 711, 1336, 519, 1101, 4627, 267, 865, 646, 729, 5828, 883, 6149, 563, 763, 1985, 1554, 519, 2034, 7015, 6836, 547, 1265, 519, 15090, 3149, 267, 855, 646, 1185, 1100, 9939, 543, 865, 267, 1932, 267, 729, 5828, 883, 6149, 563, 10190, 3357, 519, 2370, 21221, 781, 2490, 269, 1261, 6743, 538, 519, 21263, 267, 855, 621, 729, 865, 2182, 547, 1265, 519, 15090, 3149, 543, 519, 2816, 729, 865, 32462, 256, 1261, 2893, 1524, 2390, 513, 6149, 543, 524, 3072, 269, 1656, 607, 646, 2893, 972, 267, 519, 4622, 540, 519, 17605, 630, 3369, 846, 1272, 646, 1185, 10710, 264, 3357, 547, 948, 1864, 267, 609, 2947, 8536, 17605, 269, 898, 729, 711, 1279, 1354, 789, 1185, 1336, 782, 519, 15090, 3149, 543, 9788, 873, 538, 513, 24050, 676, 1010, 3952, 563, 763, 2034, 16979, 1767, 281, 968, 763, 1883, 547, 519, 27959, 781, 23103, 1590, 581, 535, 1639, 909, 856, 540, 519, 10720, 3034, 2026, 519, 21221, 3357, 547, 519, 6316, 540, 519, 10720, 267, 646, 4718, 519, 1079, 26414, 4171, 2729, 646, 1185, 10710, 10977, 827, 269, 1358, 798, 557, 543, 4166, 4547, 909, 519, 1883, 689, 519, 5377, 563, 763, 3791, 4305, 729, 519, 23698, 281, 547, 2824, 519, 21836, 543, 519, 1655, 540, 519, 4622, 781, 1614, 20766, 269, 1358, 941, 782, 4190, 267, 543, 782, 4010, 7567, 269, 1809, 646, 729, 5143, 602, 519, 7800, 652, 1185, 13881, 513, 4062, 540, 4006, 267, 519, 1985, 930, 6653, 21360, 267, 543, 519, 21836, 513, 22635, 995, 540, 9932, 269, 1261, 729, 547, 7058, 799, 835, 1185, 13881, 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 ]
[ 519, 4365, 568, 12137, 518, 1985, 3018, 267, 610, 594, 949, 723, 547, 27185, 821, 519, 1788, 2094, 594, 2731, 1810, 1405, 1589, 594, 666, 6023, 519, 3190, 538, 971, 513, 1507, 2230, 269, 1284, 3513, 1294, 269, 19850, 267, 594, 6415, 1007, 693, 713, 32059, 3364, 543, 729, 11842, 952, 707, 1453, 2479, 3801, 513, 4573, 4176, 286, 3245, 1554, 835, 267, 609, 856, 1256, 6616, 1018, 649, 1131, 581, 3257, 267, 789, 10294, 538, 796, 2581, 602, 789, 13842, 1153, 543, 519, 723, 1093, 334, 1093, 334, 539, 593, 1169, 2534, 543, 2856, 594, 4312, 6069, 585, 873, 547, 798, 269, 1284, 2811, 6158, 15206, 543, 840, 298, 1934, 256, 594, 9364, 2648, 547, 1224, 513, 2022, 593, 26997, 1753, 17469, 1053, 267, 952, 971, 513, 3364, 814, 2479, 5949, 538, 707, 1753, 269, 594, 6415, 711, 1373, 26878, 2880, 267, 3388, 596, 2022, 827, 5654, 865, 1187, 602, 594, 666, 1405, 1256, 4952, 1022, 1126, 711, 17259, 856, 540, 741, 15135, 543, 4881, 547, 707, 1153, 4055, 267, 855, 594, 6415, 1869, 1565, 543, 991, 782, 519, 4388, 594, 666, 1205, 269, 8729, 585, 782, 602, 596, 2671, 2529, 1550, 516, 569, 267, 4932, 454, 4932, 267, 594, 3513, 2626, 707, 2243, 538, 14182, 781, 2022, 2433, 334, 994, 296, 6415, 1175, 1631, 7487, 713, 1788, 269, 1809, 594, 4941, 547, 1491, 519, 942, 547, 9684, 596, 585, 20171, 621, 269, 594, 723, 476, 273, 20766, 602, 616, 9420, 543, 594, 723, 17388, 609, 875, 547, 948, 873, 1174, 519, 8608, 269, 2986, 1576, 267, 594, 1223, 6718, 513, 28241, 8608, 2507, 8117, 602, 568, 1360, 7199, 269, 1717, 267, 713, 1788, 568, 1454, 811, 1187, 630, 663, 30255, 32656, 14188, 596, 865, 1454, 256, 31466, 3559, 548, 918, 563, 296, 6557, 840, 6137, 547, 1193, 691, 661, 292, 593, 11728, 269, 11289, 596, 585, 782, 519, 960, 596, 1705, 8523, 532, 707, 3460, 1107, 621, 779, 865, 5363, 256, 0, 2691, 596, 4444, 513, 11273, 9269, 6089, 267, 519, 3312, 10189, 568, 2693, 547, 723, 519, 9422, 1344, 593, 519, 6003, 269, 1403, 596, 1616, 547, 917, 875, 513, 476, 1911, 326, 540, 11273, 9269, 6089, 786, 1764, 707, 2732, 267, 713, 1592, 2488, 606, 2653, 7650, 540, 519, 5666, 538, 1142, 540, 519, 2101, 5567, 269, 634, 2179, 540, 11950, 538, 1142, 7674, 786, 581, 1970, 543, 519, 3940, 1164, 1107, 2147, 547, 1018, 596, 8910, 1265, 538, 513, 10709, 5779, 899, 13687, 610, 27966, 563, 1911, 326, 11273, 9269, 6089, 6484, 454, 288, 476, 1911, 326, 11273, 9269, 6089, 3568, 281, 2608, 476, 2767, 8477, 2608, 476, 271, 326, 3170, 2608, 476, 272, 326, 19719, 2608, 476, 271, 326, 6775, 2608, 476, 272, 326, 3940, 454, 290, 8504, 543, 6182, 3739, 454, 2691, 621, 2501, 547, 5986, 9269, 267, 972, 616, 513, 1906, 1114, 2081, 596, 666, 798, 621, 269, 634, 1034, 1455, 1259, 568, 547, 3434, 621, 936, 606, 1930, 18723, 267, 971, 607, 593, 513, 23041, 9008, 610, 3046, 13069, 826, 269, 901, 1505, 568, 519, 2656, 652, 543, 15864, 1259, 547, 3434, 9269, 267, 855, 621, 849, 814, 519, 5207, 1981, 540, 8781, 621, 269, 6271, 1259, 547, 3434, 9269, 568, 998, 1989, 3739, 269, 901, 3322, 8022, 519, 1989, 650, 547, 513, 1164, 2837, 543, 11093, 519, 9269, 593, 621, 269, 6182, 3739, 666, 581, 513, 10930, 1259, 547, 3434, 9269, 1317, 519, 3002, 568, 14961, 7856, 2429, 519, 6177, 269, 901, 1797, 602, 972, 568, 1447, 4960, 540, 8781, 621, 269, 634, 3803, 1259, 547, 3434, 9269, 568, 998, 11256, 269, 645, 1136, 3322, 11093, 519, 9269, 538, 513, 14089, 693, 513, 1360, 1970, 2837, 269, 901, 1505, 29397, 519, 9269, 7444, 543, 5849, 602, 621, 568, 711, 22848, 10541, 269, 898, 568, 849, 513, 2922, 1259, 547, 3434, 9269, 1317, 972, 568, 1100, 1981, 540, 8781, 621, 563, 301, 9173, 16505, 6658, 676, 5253, 6828, 454, 3080, 540, 519, 1034, 1271, 1919, 547, 2015, 950, 5986, 513, 9269, 6089, 568, 922, 6484, 15059, 269, 901, 1344, 666, 948, 596, 1118, 5483, 3664, 827, 875, 547, 3434, 519, 9269, 543, 1018, 5820, 547, 946, 269, 634, 1292, 1426, 1895, 602, 513, 9269, 6089, 3568, 568, 3940, 269, 26560, 28244, 2270, 1472, 476, 3451, 10101, 540, 3940, 267, 799, 568, 811, 982, 1034, 824, 2010, 540, 3940, 269, 901, 1164, 1377, 540, 3940, 2337, 547, 1683, 1648, 543, 1489, 4887, 2208, 269, 26560, 28244, 616, 849, 513, 1434, 2707, 540, 1898, 8324, 543, 6886, 269, 1358, 2270, 6171, 645, 1321, 267, 6171, 589, 267, 6171, 595, 267, 6171, 918, 267, 543, 6886, 899, 16903, 267, 11379, 267, 543, 13101, 269, 1452, 5567, 948, 547, 1489, 2949, 1072, 543, 1134, 5630, 269, 18181, 513, 9269, 6089, 568, 606, 2653, 1259, 547, 1205, 782, 540, 519, 5567, 602, 621, 2115, 269, 1635, 1739, 513, 6484, 15059, 676, 1426, 1895, 267, 596, 666, 2327, 602, 707, 9269, 6089, 568, 607, 2635, 607, 2009, 563, 2467, 616, 1082, 5567, 538, 513, 9269, 6089, 602, 707, 1560, 666, 946, 547, 1599, 5688, 958, 269, 769, 713, 2376, 267, 649, 786, 1865, 519, 1883, 5567, 1336, 538, 513, 575, 11273, 9269, 6089, 543, 875, 789, 3565, 547, 2949, 1072, 269, 1635, 1620, 519, 2956, 540, 891, 5567, 267, 596, 666, 1118, 1732, 1426, 5079, 543, 1205, 519, 1034, 856, 540, 1169, 7594, 269, 0, 1103, 476, 1708, 272, 267, 17270, 6176, 5303, 3194, 543, 4065, 1715, 10215, 630, 290, 3951, 305, 2894, 313, 267, 476, 1708, 272, 264, 4371, 513, 10554, 585, 19174, 547, 2263, 1344, 2029, 538, 513, 4657, 1158, 269, 898, 3177, 513, 3760, 585, 1346, 19174, 602, 4001, 538, 713, 2872, 513, 8468, 547, 1865, 1702, 4483, 543, 3450, 2853, 269, 589, 13186, 593, 968, 300, 5953, 3279, 584, 18553, 631, 5953, 9461, 538, 6176, 5303, 2223, 799, 568, 513, 2027, 2213, 1826, 540, 6791, 602, 5170, 547, 581, 538, 922, 26638, 729, 4843, 269, 631, 5953, 3279, 584, 18553, 631, 5953, 9461, 538, 24243, 568, 513, 1560, 540, 7087, 631, 5953, 9461, 1702, 5293, 1524, 689, 5108, 547, 5108, 267, 15198, 1394, 547, 751, 513, 334, 2261, 4821, 267, 519, 5137, 540, 519, 1158, 630, 306, 611, 2401, 267, 476, 1220, 278, 1040, 4475, 267, 519, 3178, 540, 631, 5953, 3279, 584, 18553, 631, 5953, 9461, 568, 11251, 538, 519, 3618, 543, 7297, 602, 3382, 519, 3338, 630, 305, 5819, 267, 476, 1960, 279, 1040, 10289, 2081, 547, 4483, 713, 1826, 540, 1702, 547, 513, 4928, 610, 2518, 2228, 1604, 585, 6176, 5303, 568, 513, 1007, 1826, 540, 27380, 563, 19465, 519, 4081, 4390, 540, 1004, 543, 4081, 15961, 538, 6176, 5303, 602, 7028, 631, 5953, 3279, 584, 18553, 631, 5953, 9461, 568, 21722, 585, 7087, 19174, 269, 19484, 713, 13374, 538, 519, 24596, 5823, 568, 15518, 730, 1082, 2053, 547, 519, 7087, 4081, 547, 1491, 5718, 538, 713, 9015, 269, 898, 849, 3587, 513, 4161, 585, 519, 7087, 4081, 547, 11677, 5718, 538, 891, 2127, 950, 891, 3584, 1831, 11451, 10694, 267, 899, 15536, 8232, 267, 1141, 519, 6041, 540, 7087, 4966, 616, 17077, 538, 713, 2872, 543, 519, 6364, 568, 602, 1702, 4483, 11148, 547, 581, 519, 5539, 540, 519, 1875, 268, 29378, 19174, 547, 1291, 4390, 2679, 7341, 269, 901, 2376, 11828, 2947, 1883, 2152, 281, 476, 272, 264, 15961, 538, 519, 7913, 17270, 6176, 5303, 5823, 282, 476, 273, 264, 631, 5953, 3279, 584, 18553, 631, 5953, 9461, 538, 6176, 5303, 282, 476, 274, 264, 519, 27380, 540, 3450, 543, 6765, 282, 476, 275, 264, 7087, 5718, 538, 713, 5823, 282, 543, 476, 276, 264, 4390, 2679, 7341, 269, 898, 14405, 8185, 689, 519, 3332, 543, 1995, 540, 1346, 19174, 945, 960, 538, 519, 4659, 540, 5303, 543, 12443, 23855, 923, 538, 589, 582, 792, 10394, 1715, 10215, 563, 12606, 519, 2376, 538, 7300, 547, 1224, 621, 563, 268, 8262, 7714, 267, 808, 269, 630, 1960, 280, 1040, 1548, 519, 2875, 1281, 281, 9752, 585, 8476, 1565, 269, 14451, 4065, 3194, 1299, 4886, 267, 476, 1240, 263, 272, 1070, 476, 6872, 268, 4037, 269, 5291, 2517, 11459, 269, 8742, 3820, 270, 1015, 269, 10482, 271, 270, 5881, 273, 280, 6246, 277, 4200, 26289, 18089, 276, 454, 268, 21207, 4659, 585, 4065, 1496, 10292, 292, 4940, 630, 1001, 274, 1040, 5741, 2861, 1565, 585, 519, 476, 2641, 560, 2540, 269, 5291, 2517, 4178, 12500, 773, 3820, 454, 268, 595, 3951, 305, 2894, 313, 269, 630, 1708, 272, 1040, 595, 3951, 305, 2894, 313, 19510, 269, 595, 3951, 305, 2894, 313, 476, 1708, 272, 267, 654, 2454, 2023, 267, 1715, 10215, 269, 4179, 2517, 527, 343, 8542, 345, 14727, 3951, 305, 2894, 313, 258, 25284, 1889, 454, 268, 23101, 267, 700, 1421, 2107, 22641, 267, 808, 1421, 1299, 14332, 6577, 267, 631, 269, 630, 1001, 271, 1040, 4518, 7471, 1565, 281, 589, 3391, 547, 2500, 2259, 269, 30296, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 28242, 275, 270, 7818, 22903, 4343, 276, 14596, 272, 454, 268, 26658, 2160, 269, 630, 1708, 273, 1040, 4741, 585, 3450, 5647, 281, 1215, 547, 1711, 543, 4383, 2516, 269, 4179, 2517, 974, 2286, 6983, 1941, 749, 12975, 270, 637, 1830, 270, 6011, 268, 22056, 17907, 720, 3766, 12952, 454, 268, 595, 7342, 5069, 267, 595, 1421, 21862, 21672, 267, 645, 1421, 1299, 26800, 8688, 267, 715, 269, 630, 1220, 276, 1040, 5811, 540, 519, 4162, 540, 627, 31488, 879, 538, 589, 582, 792, 10394, 269, 12080, 540, 4065, 563, 268, 1684, 615, 1399, 267, 654, 269, 630, 1001, 273, 1040, 681, 18553, 5943, 1765, 3891, 681, 541, 18553, 918, 879, 335, 23981, 269, 769, 12794, 655, 1092, 13456, 267, 570, 269, 4563, 267, 667, 269, 2142, 534, 267, 654, 269, 7502, 902, 267, 1299, 654, 269, 715, 4157, 340, 630, 32295, 13776, 22062, 725, 593, 631, 5953, 3279, 584, 18553, 631, 5953, 9461, 630, 653, 269, 476, 1428, 268, 3607, 1040, 1715, 10215, 19120, 5874, 16958, 269, 4179, 2517, 4178, 8542, 345, 32142, 10993, 339, 8542, 345, 270, 817, 1115, 19072, 320, 9461, 270, 3519, 951, 725, 12613, 341, 277, 288, 310, 268, 19986, 15005, 454, 268, 20736, 773, 267, 631, 13034, 269, 630, 2735, 276, 1040, 589, 8575, 9461, 5133, 540, 1072, 269, 4317, 3163, 1299, 6925, 267, 476, 736, 267, 476, 4366, 274, 1700, 4366, 277, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 6200, 277, 270, 271, 2767, 278, 268, 4817, 274, 277, 263, 5952, 264, 3445, 274, 8287, 268, 277, 454, 268, 15168, 761, 11420, 267, 808, 269, 630, 1708, 272, 267, 5239, 476, 1556, 1040, 570, 21033, 5238, 2016, 476, 1015, 1296, 547, 1439, 12102, 1780, 2557, 29373, 269, 681, 301, 313, 269, 4179, 2517, 4178, 25331, 333, 345, 16691, 8542, 345, 30406, 14672, 1049, 270, 28526, 24062, 270, 614, 339, 10706, 2987, 560, 4801, 3766, 1508, 268, 1015, 26188, 3562, 15134, 15902, 528, 640, 1790, 817, 268, 3433, 16162, 1706, 640, 454, 268, 24023, 267, 595, 10611, 1421, 8381, 7615, 267, 654, 1421, 1299, 26858, 267, 808, 11065, 269, 630, 1001, 274, 1040, 589, 5943, 585, 12250, 10073, 543, 6388, 540, 20762, 1565, 538, 2362, 2069, 269, 634, 5769, 543, 14451, 4065, 267, 476, 1240, 267, 476, 275, 268, 1691, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 6200, 277, 10768, 269, 328, 515, 3027, 269, 1001, 273, 269, 6021, 269, 19740, 454, 268, 670, 1442, 902, 267, 595, 1421, 6601, 1777, 267, 623, 1421, 1299, 570, 5166, 329, 5271, 338, 267, 631, 269, 630, 1001, 273, 1040, 10435, 513, 3017, 2987, 5477, 1565, 543, 3450, 538, 2362, 2069, 998, 1930, 3872, 2200, 269, 20028, 4065, 267, 476, 3451, 263, 273, 1070, 476, 26801, 268, 21857, 269, 5291, 2517, 11459, 269, 8742, 3820, 270, 1015, 269, 10482, 271, 270, 27888, 279, 8064, 866, 269, 1001, 273, 269, 7597, 273, 271, 5780, 454, 268, 16593, 267, 590, 269, 630, 1708, 271, 267, 5181, 476, 1704, 1040, 20613, 1731, 6737, 2875, 3812, 813, 2306, 654, 2967, 1092, 2653, 543, 3015, 269, 853, 4428, 269, 4179, 2517, 4178, 14714, 4428, 16691, 8542, 345, 9706, 537, 2389, 328, 13403, 270, 974, 3146, 334, 2173, 320, 9461, 270, 4968, 8099, 271, 5655, 11320, 320, 1731, 6737, 24713, 550, 1790, 22004, 22190, 2173, 1389, 2914, 2967, 1092, 3887, 6470, 7146, 14092, 947, 1043, 454, 268, 3627, 8725, 267, 631, 269, 630, 1001, 271, 1040, 27870, 15520, 3617, 4879, 286, 589, 9295 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 19756, 13123, 1107, 891, 6909, 905, 1846, 540, 4070, 2154, 5100, 267, 6131, 1004, 1634, 607, 8030, 269, 1306, 513, 3540, 11653, 267, 596, 1522, 948, 1628, 9897, 267, 21394, 267, 25310, 267, 610, 29032, 256, 2913, 781, 1491, 513, 1413, 693, 1018, 621, 3217, 547, 1831, 513, 1390, 11653, 780, 1262, 26773, 4518, 543, 3131, 14651, 4373, 9617, 899, 1022, 824, 3924, 267, 4742, 606, 5140, 11653, 3340, 6266, 540, 11428, 543, 2182, 960, 269, 5994, 7836, 3108, 4974, 1950, 2979, 2042, 610, 1565, 827, 1114, 2326, 1031, 538, 2679, 3785, 269, 1411, 991, 547, 2322, 538, 4674, 9846, 936, 1896, 1296, 547, 2744, 2614, 1702, 543, 1983, 547, 14133, 538, 707, 2361, 269, 901, 19595, 803, 540, 513, 10839, 676, 25230, 639, 602, 3081, 267, 968, 2005, 1281, 711, 2339, 875, 7444, 596, 979, 607, 1279, 607, 596, 798, 711, 3247, 1848, 898, 779, 1898, 547, 1832, 11319, 4464, 1256, 950, 1919, 1205, 9157, 780, 265, 7078, 17041, 6056, 827, 8026, 14440, 1169, 1554, 585, 1082, 3275, 547, 6368, 1404, 513, 4190, 5152, 9985, 269, 6684, 267, 8030, 1590, 3479, 2933, 547, 6024, 1565, 543, 6454, 2429, 741, 11678, 780, 1262, 27094, 585, 4804, 4373, 30509, 689, 2324, 29367, 267, 2348, 513, 9758, 6612, 585, 1565, 1007, 1919, 666, 1305, 596, 6306, 607, 606, 14971, 11653, 269, 1635, 2542, 1585, 2835, 543, 4930, 267, 11504, 11925, 267, 543, 10283, 538, 22631, 4721, 267, 596, 16616, 3054, 547, 4195, 2035, 543, 2553, 602, 3986, 707, 5759, 269, 5047, 267, 1373, 1930, 16490, 2337, 596, 3082, 3533, 547, 2242, 538, 2029, 543, 2872, 4441, 780, 265, 7078, 17041, 16514, 513, 11015, 27423, 945, 8952, 4101, 9887, 609, 811, 2352, 13410, 1142, 942, 1352, 26088, 835, 269, 3807, 899, 1200, 267, 8030, 2972, 6061, 6946, 2042, 543, 7683, 3406, 585, 5499, 3435, 780, 1262, 5938, 600, 1740, 543, 9442, 10341, 4373, 25811, 1359, 3785, 1419, 4125, 5698, 1063, 2789, 4648, 971, 607, 16413, 267, 25255, 267, 543, 2749, 24990, 269, 13229, 2792, 5849, 3025, 17358, 741, 5107, 543, 9021, 1247, 5807, 513, 2318, 2324, 1604, 269, 9861, 2111, 547, 24808, 707, 4555, 5693, 543, 31635, 4422, 513, 1279, 1259, 2509, 8236, 1967, 607, 851, 540, 513, 2319, 780, 265, 7078, 17041, 6333, 4730, 513, 3014, 540, 14912, 1141, 1142, 6345, 814, 1808, 11645, 855, 12346, 593, 1866, 547, 6060, 2798, 543, 3094, 269, 19452, 267, 8030, 7048, 593, 741, 9164, 262, 9342, 543, 7418, 547, 2347, 3811, 3785, 780, 1262, 290, 5971, 547, 10812, 4373, 7661, 267, 2760, 30391, 519, 1379, 540, 7279, 543, 3408, 269, 6884, 267, 4466, 14262, 3435, 3322, 5887, 1005, 883, 17946, 14975, 11182, 543, 19234, 609, 3209, 4485, 269, 5213, 1405, 21183, 2476, 689, 6998, 2055, 610, 5275, 5583, 282, 713, 14942, 10182, 6038, 5012, 547, 2208, 1312, 13948, 543, 24015, 780, 265, 7078, 17041, 31962, 8320, 1141, 3744, 4362, 1007, 2249, 1282, 5836, 30295, 610, 17701, 1336, 6456, 16782, 2620, 1369, 3504, 21219, 269, 1452, 8906, 941, 1500, 2009, 1317, 789, 546, 1563, 547, 14679, 3564, 5432, 6302, 780, 1103, 3932, 267, 4742, 513, 21295, 11653, 3322, 5812, 2182, 960, 267, 11235, 1145, 547, 1451, 267, 2178, 14375, 1983, 267, 543, 4250, 16531, 950, 5185, 609, 2591, 269, 22737, 891, 7907, 2898, 27329, 569, 267, 543, 4166, 2614, 267, 596, 1932, 1223, 3565, 3648, 547, 5935, 938, 1158, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3725, 624, 585, 519, 5718, 540, 519, 1770, 16088, 454, 31435, 256, 328, 25442, 569, 9684, 596, 267, 538, 519, 11112, 2921, 519, 942, 547, 1224, 1250, 3382, 4484, 563, 328, 993, 513, 3540, 4702, 554, 2129, 2967, 6280, 267, 6289, 329, 532, 20576, 540, 4702, 11707, 10927, 3318, 476, 736, 16282, 8400, 786, 581, 4271, 908, 538, 795, 2317, 476, 736, 16282, 543, 1131, 899, 547, 1831, 5045, 21562, 20576, 540, 5619, 543, 1374, 835, 267, 1131, 899, 547, 4363, 741, 1378, 563, 27917, 1296, 538, 15938, 543, 10927, 1053, 2366, 513, 1614, 4458, 1974, 267, 519, 3352, 527, 540, 834, 14551, 960, 543, 10750, 2713, 267, 3343, 5168, 689, 5013, 543, 7453, 4170, 267, 519, 10100, 547, 2263, 519, 257, 2138, 1729, 540, 519, 7453, 7569, 593, 2933, 267, 1353, 2182, 267, 960, 931, 2615, 13124, 267, 14222, 2773, 267, 1032, 1310, 1032, 14172, 267, 543, 8362, 7119, 538, 1514, 2259, 269, 9836, 1353, 540, 513, 2647, 2039, 540, 6791, 547, 4497, 538, 513, 2603, 540, 2835, 267, 16111, 4228, 519, 1702, 543, 1514, 1995, 543, 8362, 7119, 538, 2504, 543, 1382, 563, 3240, 13459, 543, 513, 1434, 3044, 540, 7005, 269, 13459, 998, 519, 13459, 1079, 524, 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, 17138, 281, 1215, 547, 2598, 23002, 513, 8422, 268, 17413, 14114, 671, 281, 589, 18043, 6651, 692, 7072, 912, 11514, 4184, 1456, 513, 1614, 4458, 6040, 666, 581, 4101, 267, 855, 9591, 6302, 543, 3450, 1582, 20820, 568, 1898, 585, 741, 1646, 269, 901, 3391, 2488, 2312, 3268, 267, 4030, 267, 543, 5363, 4388, 547, 2327, 2500, 9015, 602, 11942, 2208, 543, 1620, 269, 5457, 267, 1169, 1126, 568, 2189, 282, 4188, 891, 2994, 607, 2877, 547, 9290, 707, 1126, 781, 7209, 543, 2115, 780, 3721, 476, 272, 281, 5590, 13068, 21673, 725, 454, 15008, 281, 5753, 8853, 593, 2497, 543, 3589, 1464, 269, 22682, 5968, 2777, 3652, 543, 6788, 865, 789, 1174, 1018, 568, 11807, 2623, 563, 7659, 9669, 1299, 13832, 912, 268, 5901, 6788, 2241, 543, 2085, 29003, 563, 268, 2422, 2318, 1893, 630, 324, 3052, 1421, 834, 2171, 3802, 3330, 2437, 3079, 540, 834, 10673, 1405, 2196, 32405, 268, 22365, 4403, 3652, 9846, 780, 3721, 476, 273, 281, 11559, 9442, 454, 15008, 281, 32695, 827, 4606, 543, 5615, 2636, 1453, 547, 1020, 3929, 4987, 543, 6568, 269, 898, 849, 10741, 3255, 585, 4001, 762, 8090, 563, 7659, 9669, 1299, 13832, 912, 268, 9105, 1930, 25804, 2055, 630, 324, 3052, 1421, 834, 1692, 1705, 602, 1118, 596, 1745, 286, 5602, 268, 4406, 28371, 4664, 9497, 296, 1294, 596, 2811, 4743, 14220, 23528, 268, 17546, 3617, 6863, 585, 11589, 4606, 780, 3721, 476, 274, 281, 3629, 31664, 2334, 5269, 23281, 454, 15008, 281, 7849, 610, 9266, 4539, 948, 1453, 1921, 3527, 609, 2164, 269, 1358, 1451, 2014, 7146, 13716, 3347, 1247, 2679, 1966, 9010, 1983, 563, 7659, 9669, 1299, 13832, 912, 268, 4045, 519, 12343, 2047, 547, 519, 2962, 630, 324, 3052, 1421, 952, 789, 1810, 1405, 4584, 909, 9162, 267, 1491, 873, 2476, 1916, 268, 3680, 2168, 10751, 610, 22551, 532, 267, 799, 949, 1291, 547, 4250, 543, 5134, 6412, 563, 268, 2142, 5812, 609, 4539, 547, 2057, 10539, 780, 3721, 476, 275, 281, 16217, 1047, 6153, 10263, 454, 15008, 281, 15474, 15699, 7512, 17279, 540, 14909, 3527, 543, 13976, 1582, 12635, 269, 595, 2255, 707, 1126, 1373, 1434, 543, 11760, 741, 3646, 563, 7659, 9669, 1299, 13832, 912, 268, 2142, 1808, 950, 9299, 2358, 630, 324, 3052, 1421, 834, 14188, 596, 585, 4687, 707, 11442, 10590, 1916, 268, 10312, 593, 1915, 7592, 2864, 982, 1175, 10781, 630, 324, 3052, 1421, 834, 2791, 616, 865, 2186, 257, 1916, 268, 20644, 17192, 25442, 569, 543, 12905, 780, 3721, 476, 276, 281, 7844, 30785, 20409, 12542, 454, 15008, 281, 8866, 1419, 708, 10028, 4079, 269, 23227, 908, 9639, 267, 11587, 267, 543, 2463, 11414, 873, 3407, 4245, 538, 1582, 30625, 543, 1514, 5872, 563, 7659, 9669, 1299, 13832, 912, 268, 7442, 860, 1125, 950, 1818, 9073, 563, 268, 8058, 9350, 1145, 1282, 17173, 3871, 563, 268, 28423, 1135, 7019, 543, 2015, 2299, 2509, 1866, 780, 3721, 476, 277, 281, 19372, 13705, 1149, 454, 15008, 281, 3117, 11962, 13467, 1683, 3354, 543, 2569, 1379, 9620, 676, 4259, 22150, 3270, 585, 3232, 2238, 563, 7659, 9669, 1299, 13832, 912, 268, 8073, 6640, 267, 21557, 267, 543, 803, 5306, 830, 12738, 563, 268, 16259, 3308, 16131, 547, 948, 7820, 3214, 9787, 13467, 1732, 563, 268, 14190, 8112, 1369, 11295, 13467, 780, 3721, 476, 278, 281, 25956, 5384, 14114, 7491, 22043, 569, 454, 15008, 281, 1879, 1031, 14013, 267, 942, 268, 8083, 2709, 513, 4960, 585, 1312, 2385, 543, 1126, 547, 3579, 1524, 543, 2992, 593, 3765, 2041, 8326, 563, 7659, 9669, 1299, 13832, 912, 268, 5071, 622, 513, 9602, 267, 2922, 2230, 1863, 689, 19240, 563, 268, 23423, 942, 268, 8083, 547, 835, 8792, 829, 1032, 540, 2085, 563, 268, 11512, 1946, 519, 942, 13050, 729, 2556, 19952, 780, 21206, 19047, 912, 272, 269, 3763, 606, 22265, 15970, 2511, 910, 7682, 633, 2943, 17841, 267, 13326, 6109, 1145, 609, 10114, 4269, 563, 273, 269, 23340, 2635, 13613, 676, 14775, 6213, 569, 547, 707, 1126, 781, 2115, 563, 274, 269, 6657, 9639, 282, 3314, 602, 1565, 3217, 942, 563, 275, 269, 16418, 1489, 689, 1920, 267, 2828, 267, 610, 4648, 950, 6849, 2591, 563, 276, 269, 19321, 10853, 6788, 3823, 21915, 337, 4548, 543, 4152, 7182, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 11514, 23002, 513, 476, 274, 5729, 6196, 257, 538, 519, 2511, 540, 14392, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 269, 3550, 9355, 543, 16566, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 269, 0, 769, 2221, 781, 2518, 4346, 267, 4213, 5051, 7048, 593, 1950, 5121, 540, 14273, 267, 9755, 267, 2733, 12781, 267, 543, 21625, 547, 3142, 741, 2472, 547, 2344, 269, 901, 3060, 568, 1634, 607, 519, 3761, 5832, 267, 543, 5883, 621, 3927, 568, 2565, 547, 519, 1967, 540, 1022, 1870, 7722, 538, 18666, 610, 20558, 269, 769, 713, 3296, 267, 649, 786, 2263, 930, 540, 519, 1883, 3741, 543, 1655, 2853, 540, 2500, 3761, 5832, 2359, 630, 306, 13967, 1070, 609, 513, 1445, 593, 875, 789, 666, 948, 4213, 2087, 741, 2773, 267, 2569, 3790, 267, 543, 1732, 4196, 741, 5561, 780, 4263, 922, 4295, 267, 590, 13967, 3322, 25640, 543, 17306, 519, 2095, 540, 2326, 267, 1344, 267, 543, 18083, 2429, 519, 3003, 3761, 5832, 267, 689, 6151, 1570, 27126, 547, 1439, 2275, 2396, 518, 6765, 269, 1677, 798, 713, 3927, 267, 4213, 1590, 9772, 513, 11455, 2070, 540, 741, 3761, 5832, 267, 9301, 602, 1169, 3095, 538, 519, 5832, 1107, 689, 14273, 547, 6283, 7426, 547, 16292, 17346, 543, 3892, 7740, 1107, 4249, 513, 2629, 1909, 538, 12419, 1871, 547, 519, 6075, 269, 1635, 2921, 513, 1949, 1935, 547, 590, 13967, 267, 4213, 666, 2697, 3255, 585, 6454, 267, 9004, 3653, 267, 543, 1711, 811, 3608, 543, 17841, 3157, 780, 3080, 1883, 6240, 540, 2500, 590, 13967, 568, 3844, 1436, 269, 13298, 982, 5883, 1142, 5057, 540, 519, 3761, 5832, 14384, 267, 3056, 3549, 616, 12561, 21438, 2359, 1949, 602, 1683, 15287, 543, 1852, 936, 519, 3003, 1184, 269, 589, 21438, 1062, 2636, 4213, 547, 19597, 622, 1344, 543, 2200, 267, 4227, 6988, 543, 2810, 4398, 269, 1280, 1383, 267, 676, 1210, 513, 2582, 3760, 547, 4383, 782, 27147, 9753, 267, 4213, 666, 20928, 741, 11449, 3157, 267, 2569, 6959, 543, 17799, 267, 543, 2744, 3152, 15407, 609, 14273, 269, 6684, 267, 676, 10128, 3059, 12319, 971, 607, 9821, 1957, 1740, 267, 14791, 5359, 267, 543, 15205, 12014, 883, 513, 21438, 1062, 267, 4213, 666, 7413, 8261, 1239, 7127, 267, 2333, 6111, 267, 543, 17108, 519, 1931, 20106, 1184, 780, 4913, 267, 7598, 513, 21438, 590, 13967, 1062, 568, 711, 1510, 922, 2591, 269, 2290, 1455, 3390, 568, 4057, 2792, 543, 1239, 11007, 2066, 1114, 4559, 543, 13623, 1369, 519, 3919, 269, 1879, 1114, 6887, 946, 1114, 2645, 543, 1949, 547, 4383, 741, 4062, 540, 519, 3761, 5832, 267, 621, 3587, 2352, 547, 2671, 4977, 267, 909, 3562, 15082, 1344, 2066, 519, 13055, 269, 901, 666, 1291, 547, 21390, 267, 14406, 21852, 267, 543, 2799, 3790, 269, 1677, 7753 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10414, 7467, 630, 2633, 369, 14098, 363, 27758, 29334, 17775, 23547, 11111, 29334, 23517, 2633, 501, 31073, 2633, 373, 14098, 366, 2633, 363, 966, 5953, 344, 340, 590, 6511, 15223, 9719, 483, 6588, 327, 5953, 26792, 1070, 6022, 600, 267, 4427, 549, 1729, 5244, 630, 5228, 1558, 549, 1491, 1668, 476, 276, 6246, 289, 267, 476, 3583, 277, 267, 476, 278, 2420, 267, 476, 278, 3066, 267, 476, 6507, 274, 267, 476, 278, 3445, 267, 476, 8064, 273, 610, 17985, 547, 4427, 549, 1729, 5244, 1070, 29477, 493, 2073, 1547, 654, 1700, 22296, 476, 1015, 4456, 1700, 276, 15014, 269, 634, 9510, 9754, 540, 922, 2186, 538, 519, 2197, 269, 898, 8075, 8484, 267, 6337, 267, 8357, 8494, 807, 267, 9604, 543, 26977, 540, 519, 4095, 5794, 10414, 269, 5131, 563, 268, 476, 2767, 2817, 7467, 630, 18892, 14098, 371, 11695, 509, 31073, 21005, 2633, 363, 29334, 23517, 2633, 501, 31073, 2633, 373, 14098, 366, 2633, 363, 681, 5953, 23973, 30909, 337, 13682, 5984, 15223, 9719, 483, 6588, 327, 5953, 26792, 1070, 3967, 12949, 630, 24650, 476, 25148, 547, 2817, 7467, 1040, 476, 1015, 4456, 1700, 276, 15014, 630, 743, 2216, 631, 1040, 634, 11768, 1934, 568, 2978, 31307, 710, 543, 519, 6881, 4465, 1405, 3094, 1022, 17758, 267, 855, 519, 4015, 568, 26080, 543, 3568, 930, 3020, 25704, 269, 634, 3296, 593, 519, 1473, 639, 9503, 9177, 543, 519, 835, 593, 14418, 11595, 568, 1034, 13181, 269, 634, 9754, 849, 20502, 519, 6575, 543, 27656, 2761, 338, 689, 1114, 4525, 540, 3127, 269, 5901, 606, 3750, 856, 585, 519, 476, 275, 267, 7785, 4458, 6040, 4498, 1952, 534, 11454, 15854, 1356, 267, 519, 717, 663, 327, 4673, 268, 5028, 7555, 17700, 609, 5259, 4552, 543, 513, 4936, 547, 8615, 267, 519, 10875, 20538, 7206, 19922, 267, 543, 519, 9649, 11454, 669, 926, 582, 6288, 539, 3544, 269, 1323, 13181, 1747, 585, 782, 5461, 538, 6616, 811, 827, 4095, 2528, 543, 1686, 269, 19238, 373, 4968, 585, 30707, 630, 514, 11079, 3730, 24384, 690, 340, 728, 1070, 19238, 373, 1015, 12075, 630, 28436, 24384, 690, 340, 728, 19238, 373, 5611, 3063, 1070, 19238, 373, 272, 585, 4095, 1053, 267, 7132, 19238, 373, 4968, 952, 596, 1616, 547, 946, 513, 8254, 269, 1546, 1417, 13962, 593, 519, 2034, 6989, 630, 331, 4875, 10889, 564, 19238, 373, 1220, 1040, 589, 27972, 752, 3336, 568, 1863, 585, 5561, 563, 268, 476, 2764, 2817, 20155, 540, 7073, 3203, 630, 18892, 14098, 371, 11695, 509, 31073, 21005, 2633, 363, 7162, 484, 2633, 356, 27758, 23547, 18028, 499, 21999, 2633, 366, 11111, 29334, 23517, 2633, 501, 31073, 2633, 373, 14098, 366, 2633, 363, 681, 5953, 23973, 30909, 337, 13682, 5984, 17487, 478, 323, 327, 684, 1731, 17833, 5953, 15223, 9719, 483, 6588, 327, 5953, 26792, 1070, 10456, 590, 289, 12540, 630, 22013, 6062, 4400, 7040, 267, 595, 910, 1261, 343, 6782, 1070, 29477, 493, 4586, 268, 476, 3066, 2817, 5845, 520, 601, 545, 7467, 630, 18892, 14098, 371, 11695, 509, 31073, 21005, 2633, 363, 7162, 350, 14098, 499, 7162, 509, 18028, 499, 2633, 509, 29334, 23517, 2633, 501, 31073, 2633, 373, 14098, 366, 2633, 363, 681, 5953, 23973, 30909, 337, 13682, 5984, 18841, 372, 490, 752, 476, 9719, 361, 11986, 30909, 15223, 9719, 483, 6588, 327, 5953, 26792, 1070, 590, 753, 611, 12540, 681, 323, 630, 5471, 549, 281, 16532, 29477, 493, 4586, 268, 476, 1789, 2817, 17318, 17341, 269, 589, 18189, 6131, 547, 519, 7128, 10986, 945, 5747, 538, 519, 4339, 1996, 18483, 267, 17740, 3599, 543, 1202, 4026, 1890, 2094, 476, 3707, 278, 269, 1703, 781, 606, 11895, 9754, 607, 851, 540, 519, 18189, 269, 1703, 616, 6810, 6131, 547, 1585, 3844, 543, 1533, 7128, 4229, 538, 3127, 269, 17318, 4229, 689, 782, 476, 2764, 2829, 543, 476, 279, 5742, 11182, 616, 4843, 267, 1519, 513, 2027, 2446, 585, 2021, 2695, 6758, 267, 7128, 13164, 543, 3662, 2695, 6758, 630, 322, 14712, 267, 2915, 543, 25190, 517, 2022, 1916, 268, 476, 4029, 2817, 12565, 7467, 630, 18892, 14098, 371, 11695, 509, 31073, 21005, 2633, 363, 7162, 364, 17775, 2633, 366, 29334, 23517, 2633, 501, 31073, 2633, 373, 14098, 366, 2633, 363, 14780, 23973, 30909, 337, 13682, 5984, 4039, 15223, 9719, 483, 6588, 327, 5953, 26792, 1070, 26960, 21294, 777, 19441, 630, 29985, 281, 16532, 29477, 493, 1547, 4455, 1700, 20225, 476, 280, 281, 1789, 4456, 1700, 278, 281, 1789, 15014, 267, 4239, 1700, 11321, 476, 280, 281, 1789, 4456, 1700, 276, 281, 1789, 15014, 267, 6806, 631, 543, 3084, 14812, 269, 670, 11817, 513, 4015, 540, 4095, 14884, 689, 519, 2250, 547, 519, 1459, 910, 513, 26656, 1413, 883, 3127, 781, 10583, 16749, 6561, 269, 634, 4015, 2882, 1286, 17699, 10362, 547, 4095, 14984, 919, 543, 3703, 18755, 3266, 903, 269, 5753, 666, 11878, 519, 1507, 5721, 602, 2235, 4379, 3572, 919, 519, 9754, 269, 1703, 568, 513, 1507, 22538, 2946, 593, 519, 22402, 563, 268, 476, 3953, 3026, 327, 745, 17341, 7467, 1299, 7732, 630, 5938, 523, 631, 4669, 328, 645, 6409, 534, 1070, 26960, 21294, 777, 19441, 267, 24635, 631, 4669, 328, 12540, 267, 29477, 493, 1547, 476, 280, 4456, 268, 276, 15014, 630, 743, 2216, 11728, 1040, 4813, 518, 15335, 540, 519, 1101, 11788, 10579, 540, 4830, 3127, 267, 26836, 1695, 22611, 531, 3026, 327, 745, 269, 12984, 1031, 676, 519, 2155, 6387, 2987, 268, 27815, 540, 519, 4095, 8136, 1354, 3127, 781, 7115, 538, 476, 3707, 278, 269, 2991, 3026, 327, 745, 781, 2669, 538, 476, 3422, 275, 267, 621, 729, 10736, 883, 513, 9754, 540, 1010, 1272, 267, 7132, 513, 5399, 269, 898, 568, 835, 519, 7887, 8021, 540, 16156, 609, 476, 1911, 267, 1822, 11147, 267, 476, 1240, 267, 1822, 2890, 28291, 20061, 267, 543, 936, 476, 1015, 267, 1822, 22251, 269, 4746, 2882, 513, 4541, 10740, 630, 322, 739, 338, 19238, 373, 2004, 4079, 267, 19238, 373, 1839, 1453, 264, 1141, 789, 1397, 513, 7260, 593, 17651, 543, 519, 7122, 269, 4595, 476, 1708, 273, 267, 519, 9754, 849, 3568, 519, 623, 2784, 7315, 332, 656, 686, 590, 836, 571, 15595, 11535, 630, 2633, 359, 31073, 2633, 356, 14098, 357, 28440, 23517, 23371, 31073, 21005, 29334, 23517, 2633, 501, 31073, 2633, 373, 14098, 366, 2633, 363, 623, 2784, 327, 31488, 332, 656, 337, 13682, 15223, 9719, 483, 6588, 327, 5953, 26792, 1070, 799, 568, 513, 24744, 547, 782, 519, 6305, 26110, 540, 3127, 2094, 7115, 269, 5131, 563, 268, 476, 3451, 12057, 7467, 267, 717, 758, 592, 18491, 541, 630, 5471, 549, 281, 15426, 16515, 1700, 306, 320, 476, 1556, 4456, 1700, 276, 15014, 269, 1323, 7317, 9754, 6257, 519, 1650, 540, 5191, 6560, 540, 3127, 269, 898, 849, 814, 4686, 4015, 540, 13344, 689, 4914, 30896, 547, 519, 29150, 540, 700, 758, 17939, 3873, 563, 268, 476, 4097, 24130, 5783, 540, 4414, 18277, 630, 309, 545, 518, 1195, 5783, 1070, 5783, 28818, 630, 301, 792, 681, 1662, 339, 1905, 10620, 13225, 1177, 534, 267, 6239, 10555, 30353, 5450, 549, 13749, 1040, 898, 568, 519, 22071, 540, 519, 5783, 540, 3345, 3127, 267, 16156, 4144, 665, 3150, 269, 29740, 676, 8361, 2405, 323, 1063, 476, 4572, 278, 268, 4350, 276, 621, 568, 513, 5386, 1383, 540, 20616, 6189, 563, 268, 476, 3374, 29042, 9839, 24130, 267, 476, 272, 12891, 758, 9255, 630, 4752, 9040, 320, 918, 9618, 752, 2206, 327, 12540, 543, 13225, 2967, 966, 17621, 19453, 12540, 2282, 1230, 333, 4381, 9255, 2282, 547, 717, 6324, 342, 4673, 10854, 5055, 19300, 756, 267, 631, 10538, 1744, 643, 1690, 328, 853, 18123, 1040, 898, 568, 519, 7887, 5939, 538, 2474, 540, 2497, 543, 849, 519, 22071, 540, 519, 16156, 7826, 5246, 10972, 665, 3150, 269, 589, 1590, 3643, 547, 2972, 519, 4190, 6189, 543, 29814, 5898, 563, 268, 476, 3607, 853, 8834, 781, 24130, 267, 13225, 2967, 966, 17621, 19453, 12540, 630, 301, 792, 853, 9069, 553, 262, 1153, 267, 1668, 476, 8660, 547, 30110, 10369, 1040, 898, 568, 519, 22071, 540, 519, 15243, 924, 26219, 18179, 5939, 538, 16156, 269, 898, 568, 1634, 607, 519, 4165, 1470, 577, 540, 519, 5101, 543, 568, 513, 5386, 1383, 540, 31970, 6189, 20762, 609, 29678, 563, 268, 476, 4391, 717, 584, 644, 342, 4673, 10854, 5055, 19300, 756, 267, 12891, 24499, 681, 323, 630, 4752, 9040, 320, 918, 9618, 752, 19453, 12540, 267, 2282, 1230, 333, 4381, 9255, 282, 1558, 549, 281, 15426, 901, 568, 519, 1292, 575, 584, 644, 342, 4673, 585, 27566, 338, 540, 16156, 269, 1411, 786, 991, 547, 3382, 707, 2212, 630, 24249, 1407, 3177, 585, 1863, 264, 543, 588, 1662, 707, 10887, 538, 519, 21489, 4859, 2196, 676, 13538, 269, 22702, 547, 824, 2462, 15805, 18845, 267, 568, 1863, 540, 1085, 600, 610, 678, 8775, 22651, 543, 666, 581, 10150, 1510, 31484, 548, 269, 1411, 666, 1694, 3330, 543, 6432, 547, 519, 13220, 543, 19001, 538, 23570, 328, 269, 9093, 1058, 3382, 741, 2212, 609, 1945, 267, 4352, 621, 568, 711, 16601, 267, 621, 786, 581, 2938, 607, 513, 1129, 540, 2463, 269, 5131, 563, 268, 476, 4343, 717, 584, 644, 342, 4673, 681, 752, 629, 717, 534, 329, 19300, 756, 267, 17455, 527, 23202, 12540, 630, 333, 792, 12057, 5600, 282, 1558, 549, 281, 16532, 29477, 493, 1547, 29740, 538, 476, 9965, 274, 269, 634, 11454, 3710, 2282, 681, 9820, 2088, 10830, 267, 799, 1631, 1572, 17455, 527, 23202, 12540, 267, 3576, 476, 1321, 1296, 547, 1628, 563, 268, 476, 4375, 12390, 3861, 13527, 630, 295, 534, 3861, 631, 4669, 328, 1070, 1230, 333, 4381, 1773, 630, 15426, 634, 3504, 9699, 11454, 814, 513, 1582, 17907, 28685, 31561, 540, 7083, 12390, 3861, 630, 15367, 729, 606, 818, 4823, 25058, 324, 540, 681, 4821, 2687, 547, 519, 9699, 17691, 1070, 814, 606, 8966, 4183, 6378, 538, 519, 838, 790, 630, 309, 27332, 264, 538, 519, 1106, 540, 513, 524, 29266, 7599, 630, 534, 9099, 3090, 264, 3079, 540, 519, 9699, 3090, 540, 589, 636, 610, 6129, 602, 568, 4122, 2938, 538, 1034, 9699, 17633, 563, 268, 476, 2412, 700, 1314, 2381, 541, 18885, 13527, 630, 289, 597, 5055, 13527, 1070, 13495, 597, 12540, 630, 5471, 549, 281, 15426, 589, 11454, 6131, 547, 700, 1314, 2381, 541, 18885, 267, 799, 2356, 4016, 547, 7083, 31155, 20692, 269, 898, 729, 22305, 13894, 676, 8575, 32257, 19413, 543, 782, 5641, 525, 616, 4847, 538, 519, 11454, 269, 634, 11454, 24643, 5215, 540, 25058, 525, 547, 519, 15976, 540, 3967, 332, 1662, 339, 9564, 543, 4144, 28549, 269, 634, 1292, 11454, 8075, 24112, 540, 7083, 31155, 20692, 543, 1010, 7385, 700, 27232, 14741, 269, 1703, 616, 824, 1507, 695, 21218, 6131, 547, 32251, 267, 717, 6951, 3873, 543, 12390, 3861, 269, 1703, 568, 849, 513, 695, 9068, 6131, 547, 7083, 17700, 563, 268, 476, 6078, 1715, 16156, 918, 8932, 645, 926, 267, 13495, 597, 12540, 630, 29148, 547, 700, 1314, 2381, 541, 18885, 13527, 282, 1558, 549, 281, 2073, 476, 273, 5998, 2476, 1040, 5853, 539, 538, 519, 476, 4350, 271, 338, 267, 621, 568, 835, 540, 519, 9510, 17633, 6131, 547, 519, 15831, 918, 8932, 538, 16156, 269, 634, 667, 4026, 320, 10658, 10937, 9976, 538, 519, 11454, 568, 835, 540, 519, 9510, 538, 519, 2749, 563, 268, 476, 5655, 31579, 4673, 4210, 9564, 5689, 2967, 13527, 630, 307, 7056, 281, 11774, 362, 487, 18298, 353, 28159, 491, 18298, 353, 18298, 364, 11774, 362, 504, 28159, 479, 18298, 369, 18298, 378, 18298, 362, 18298, 379, 11774, 362, 362, 18298, 366, 28159, 486, 11774, 362, 499, 28159, 489, 18298, 369, 18298, 379, 18298, 366, 28159, 491, 282, 5689, 2967, 13495, 597, 630, 295, 650, 13527, 24270, 30359, 476, 278, 267, 681, 298, 10658, 1090, 630, 289, 639, 476, 5780, 547, 5689, 2967, 13495, 597, 1040, 634, 1292, 11454, 1369, 519, 1950, 267, 18005, 1572, 590, 872, 4210, 3133, 24048, 4210, 9564, 13527, 267, 8075, 519, 18813, 636, 540, 7083, 4210, 3133, 24048, 269, 634, 11454, 568, 3710, 7357, 540, 25342, 543, 568, 24188, 540, 519, 932, 7637, 2511, 540, 3162, 4095, 11454, 6189, 563, 268, 681, 27895, 341, 754, 571, 4210, 18081, 631, 18636, 910, 901, 568, 513, 1747, 2147, 547, 513, 11454, 543, 1022, 25058, 324, 666, 3643, 972, 269, 898, 568, 593, 7763, 328, 20045, 327, 26850, 1478, 267, 681, 7776, 570, 983, 600, 12540, 267, 681, 298, 10658, 1090, 267, 30359, 476, 1321, 267, 1715, 16156, 476, 8099, 28512, 269, 7033, 902, 585 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 568, 513, 1455, 2790, 1072, 2783, 1141, 513, 1268, 7959, 6414, 1836, 8909, 267, 14221, 267, 610, 8900, 269, 1358, 949, 6336, 1719, 538, 2238, 789, 2899, 10150, 267, 1995, 2242, 538, 741, 14031, 610, 3207, 3270, 267, 543, 1265, 621, 2352, 547, 13404, 269, 6884, 267, 891, 4606, 2063, 1152, 585, 513, 2110, 1974, 282, 2705, 267, 952, 789, 3136, 585, 1079, 4374, 610, 3476, 267, 1287, 3318, 948, 1058, 581, 8179, 780, 19547, 624, 532, 12870, 3414, 4317, 9012, 912, 12441, 596, 917, 602, 3173, 616, 3168, 883, 2081, 1514, 2923, 1223, 948, 2697, 1004, 7680, 19591, 2589, 286, 2334, 781, 1318, 256, 1635, 4974, 875, 1004, 2170, 593, 5867, 971, 607, 9365, 267, 3744, 4126, 547, 3605, 10881, 15738, 2509, 1761, 2790, 1072, 2152, 780, 2690, 1383, 267, 4952, 707, 3659, 2356, 9708, 6126, 10311, 827, 1200, 1272, 855, 10393, 6238, 4687, 6266, 540, 2942, 6835, 3079, 269, 15448, 899, 891, 1223, 5365, 602, 1352, 781, 2469, 998, 513, 9157, 942, 14156, 269, 2755, 621, 4465, 1405, 5372, 6158, 547, 513, 4387, 610, 13309, 267, 7421, 1514, 2923, 2534, 1522, 4196, 607, 1776, 1907, 547, 5351, 538, 9301, 4965, 4505, 780, 5978, 10020, 538, 25417, 14886, 912, 2026, 2828, 543, 9905, 267, 938, 1909, 568, 2629, 538, 5885, 835, 1776, 269, 1403, 596, 5469, 513, 1689, 538, 513, 3659, 781, 2623, 1107, 2901, 2228, 610, 22356, 1107, 2015, 8757, 856, 543, 6998, 873, 875, 789, 2811, 4743, 269, 589, 2241, 6643, 666, 979, 513, 1279, 1259, 538, 1818, 2576, 1745, 6462, 543, 6068, 780, 8855, 267, 1498, 267, 602, 711, 3025, 945, 2833, 4965, 786, 1397, 7298, 4191, 269, 1924, 267, 1577, 781, 2141, 1521, 1142, 824, 24963, 543, 31635, 267, 7488, 540, 1018, 649, 1294, 593, 1514, 2923, 269, 2991, 782, 267, 3297, 1169, 5496, 568, 513, 1483, 1268, 609, 2189, 4555, 543, 4664, 780, 1103, 12834, 912, 9213, 267, 649, 4121, 827, 4965, 267, 922, 1764, 593, 2790, 1072, 267, 543, 875, 1514, 2923, 4249, 513, 1909, 538, 4543, 3713, 2009, 2589, 269, 5457, 267, 952, 596, 2479, 14353, 513, 3659, 1522, 581, 7231, 609, 4965, 267, 2709, 873, 1489, 543, 5000, 873, 547, 3343, 3318, 5583, 269, 8625, 267, 649, 666, 1711, 513, 12391, 1604, 1312, 2228, 543, 22356, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 25889, 281, 1306, 2228, 1514, 2923, 723, 1831, 7986, 267, 1454, 4674, 814, 1044, 6170, 593, 7114, 3755, 609, 19591, 2589, 538, 1931, 547, 2832, 693, 2038, 5868, 267, 2126, 267, 543, 1256, 6604, 676, 1210, 1585, 2228, 1514, 2923, 269, 769, 713, 1957, 267, 649, 5059, 593, 9365, 547, 20559, 1022, 21374, 1063, 519, 3760, 779, 2934, 543, 3755, 685, 19591, 2589, 269, 901, 960, 949, 581, 5363, 538, 3843, 547, 3914, 543, 3713, 1804, 2338, 540, 20158, 2043, 811, 3362, 563, 29020, 281, 3776, 3804, 729, 547, 1020, 513, 5680, 3498, 543, 2697, 19591, 10835, 1700, 22366, 2934, 689, 3755, 540, 9365, 267, 513, 2442, 1514, 13033, 3760, 563, 32325, 281, 476, 4649, 9365, 3755, 630, 332, 1446, 284, 2412, 267, 4775, 284, 1428, 267, 1611, 2085, 476, 2190, 269, 6246, 267, 12676, 476, 274, 269, 3445, 264, 941, 25945, 998, 29275, 1166, 4536, 7856, 547, 1053, 538, 513, 1804, 6280, 538, 9705, 269, 4635, 32313, 291, 10706, 267, 519, 9365, 3498, 649, 2919, 267, 649, 11117, 19591, 2589, 1210, 519, 4741, 585, 25731, 8344, 5525, 5937, 788, 1833, 630, 290, 2464, 5937, 264, 4336, 269, 1284, 849, 3177, 4388, 543, 535, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 12831, 1833, 543, 10076, 2657, 257, 607, 851, 540, 834, 25503, 1315, 15168, 12278, 338, 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, 8702, 547, 938, 3992, 827, 2564, 9196, 543, 875, 621, 666, 948, 7189, 13209, 543, 1521, 3676, 256, 4653, 649, 2811, 2469, 547, 2911, 827, 513, 2027, 1826, 540, 11571, 1572, 513, 17223, 29821, 630, 6311, 264, 11571, 269, 5620, 596, 2479, 4862, 540, 602, 1354, 286, 589, 11632, 11571, 3096, 2473, 17530, 547, 1711, 2143, 5961, 540, 519, 3330, 540, 707, 1560, 269, 898, 781, 899, 3478, 513, 2731, 2143, 4605, 540, 1018, 781, 8345, 3330, 540, 596, 2439, 3086, 267, 1577, 781, 4952, 602, 596, 616, 4743, 7210, 543, 979, 1294, 513, 4387, 269, 2991, 4881, 930, 4255, 267, 519, 4387, 9060, 856, 602, 596, 1522, 723, 1945, 1572, 1199, 1638, 776, 11178, 2860, 269, 5213, 1405, 5855, 267, 713, 1826, 540, 2860, 568, 1360, 4686, 543, 972, 616, 5574, 2139, 547, 948, 596, 1205, 1732, 269, 1809, 1101, 267, 519, 4387, 2115, 547, 917, 811, 827, 1141, 519, 2860, 568, 4092, 543, 952, 621, 814, 3262, 547, 824, 2694, 540, 707, 1560, 269, 2334, 781, 1141, 519, 11632, 11571, 2501, 538, 2439, 763, 11632, 31554, 786, 1491, 1082, 5961, 540, 707, 8405, 543, 11563, 1858, 547, 1711, 513, 2143, 3239, 540, 707, 11178, 14189, 269, 634, 11178, 14189, 568, 513, 1507, 18173, 11057, 14189, 4092, 693, 519, 3490, 540, 707, 8405, 267, 1175, 2630, 707, 14088, 781, 11945, 269, 898, 7472, 10399, 602, 10038, 707, 2295, 2557, 267, 1973, 2604, 267, 543, 1560, 2837, 269, 6884, 267, 2860, 2281, 666, 1332, 538, 519, 11178, 14189, 543, 1106, 12970, 269, 2060, 519, 1344, 689, 519, 11632, 11571, 267, 519, 4387, 666, 3313, 519, 2450, 543, 4087, 540, 519, 10510, 267, 607, 1134, 607, 2436, 621, 814, 3262, 547, 7404, 9726, 9136, 610, 824, 8219, 780, 5629, 519, 4387, 814, 782, 540, 713, 1344, 267, 789, 666, 1020, 513, 2126, 1544, 602, 568, 1318, 585, 596, 269, 2290, 2126, 4781, 585, 1199, 1638, 776, 11178, 2860, 568, 513, 4915, 1572, 9348, 9926, 656, 514, 756, 269, 16410, 9926, 656, 514, 756, 568, 513, 1826, 540, 3075, 1572, 513, 1119, 4592, 710, 32635, 28166, 269, 1452, 5061, 960, 676, 17527, 1978, 5946, 538, 2860, 2281, 602, 2995, 873, 547, 1332, 543, 9062, 269, 1635, 17527, 891, 5946, 267, 9348, 9926, 656, 514, 756, 666, 3500, 1524, 610, 3247, 519, 2208, 540, 2860, 2281, 780, 2005, 781, 1271, 547, 4063, 602, 1247, 9348, 9926, 656, 514, 756, 666, 581, 2500, 538, 8156, 1199, 1638, 776, 11178, 2860, 267, 621, 849, 814, 2427, 2360, 269, 2368, 1455, 2427, 2360, 1331, 13165, 267, 15353, 267, 13481, 267, 543, 5023, 21399, 269, 2659, 4387, 786, 6895, 596, 5702, 1247, 596, 616, 2921, 713, 6646, 547, 2327, 602, 621, 568, 2324, 3927, 543, 547, 4383, 1022, 2427, 2360, 602, 949, 2049, 780, 1103, 5758, 267, 2564, 9196, 4066, 971, 607, 11632, 18767, 1404, 606, 1898, 1909, 538, 23235, 543, 8156, 10108, 899, 1199, 1638, 776, 11178, 2860, 269, 1358, 1450, 7189, 547, 14650, 2127, 3330, 519, 1560, 602, 1131, 6382, 581, 2352, 547, 1294, 269, 1656, 950, 5916, 609, 6098, 11257, 899, 9348, 9926, 656, 514, 756, 267, 2550, 723, 513, 3152, 4960, 540, 20408, 741, 4576, 543, 13059, 547, 1434, 1072, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 290, 629, 9926, 656, 514, 756, 585, 11636, 22037, 1738, 1199, 1638, 776, 11178, 2860, 281, 513, 2689, 454, 297, 9655, 7699, 681, 2051, 558, 2692, 267, 9400, 744, 1284, 514, 454, 23430, 540, 17305, 565, 28640, 1108, 267, 10361, 543, 3026, 1188, 17889, 267, 16515, 30835, 6481, 4741, 267, 11785, 267, 10790, 267, 7330, 454, 20082, 281, 2405, 1638, 776, 11178, 2860, 568, 16613, 543, 2550, 3335, 1459, 609, 4359, 2068, 269, 9615, 3681, 585, 2550, 609, 11636, 267, 22037, 1738, 1199, 1638, 776, 11178, 2860, 1185, 1044, 3908, 2394, 5063, 269, 14977, 4592, 710, 32635, 20127, 723, 21959, 1229, 2810, 1719, 538, 713, 15410, 540, 2550, 269, 634, 2475, 5253, 543, 10684, 10029, 5063, 9516, 9348, 9926, 656, 514, 756, 267, 513, 1119, 4592, 710, 32635, 28166, 267, 1310, 9621, 2164, 941, 3254, 538, 513, 1804, 18001, 8633, 4791, 4693, 269, 901, 2689, 26564, 519, 4791, 14278, 1108, 267, 4791, 8062, 267, 543, 3106, 1239, 585, 9348, 9926, 656, 514, 756, 543, 20147, 609, 513, 4901, 540, 2009, 2104, 8846, 585, 519, 2126, 540, 1199, 1638, 776, 11178, 2860, 563, 21292, 281, 9348, 9926, 656, 514, 756, 267, 1119, 4592, 710, 32635, 28166, 267, 1199, 1638, 776, 11178, 2860, 454, 8469, 1638, 776, 11178, 26217, 630, 300, 12839, 264, 568, 606, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 631, 19075, 1315, 7101, 5735, 267, 7101, 23956, 1299, 17437, 6925, 1315, 6156, 539, 8751, 2762, 630, 6311, 264, 2480, 534, 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, 1262, 16215, 281, 4197, 31044, 9177, 4373, 8702, 547, 713, 1770, 1141, 649, 786, 1451, 827, 10721, 2528, 256, 1411, 1522, 4898, 1018, 602, 1797, 269, 4270, 267, 4952, 952, 596, 941, 547, 3643, 1079, 1114, 3506, 269, 4634, 1498, 1312, 616, 4025, 1141, 1004, 979, 547, 1451, 267, 789, 4440, 1745, 1360, 1114, 950, 596, 3802, 538, 269, 2290, 1153, 1522, 3100, 2731, 7453, 609, 6266, 540, 3652, 267, 1247, 1776, 7959, 811, 9788, 1394, 543, 17159, 269, 1452, 4606, 2097, 689, 1142, 1153, 781, 2189, 2528, 1107, 741, 1378, 1259, 540, 3257, 1919, 780, 763, 1482, 3364, 4523, 538, 4213, 1932, 256, 14992, 899, 715, 833, 267, 8835, 267, 543, 11197, 782, 723, 741, 1378, 2027, 2081, 540, 2324, 1927, 267, 799, 2306, 909, 741, 10721, 4529, 269, 2913, 781, 2263, 1018, 4422, 883, 2870, 891, 2189, 5054, 780, 1262, 1432, 568, 31044, 9177, 15140, 16391, 9318, 2528, 4016, 547, 519, 3838, 2418, 267, 4978, 267, 8456, 267, 543, 5615, 602, 3337, 875, 5520, 2170, 609, 835, 1776, 543, 2347, 4247, 1369, 606, 3919, 269, 5994, 621, 607, 519, 7209, 540, 513, 1870, 910, 930, 4213, 616, 7874, 543, 22205, 267, 1247, 1866, 949, 1445, 811, 593, 2164, 543, 2773, 269, 901, 834, 17367, 1275, 257, 666, 3310, 3388, 689, 875, 3664, 1205, 1500, 547, 875, 4600, 10571, 543, 5968, 780, 1262, 292, 6123, 540, 31044, 9177, 4373, 2467, 616, 1896, 2609, 602, 948, 1711, 606, 3919, 781, 2189, 2528, 269, 1284, 666, 1589, 540, 873, 607, 5820, 602, 3575, 1927, 547, 1106, 519, 2949, 2528, 269, 2368, 1898, 3334, 1331, 1384, 272, 269, 2608, 11749, 1132, 15846, 1452, 616, 519, 4295, 3741, 13057, 3375, 1818, 693, 1169, 1377, 540, 519, 3919, 269, 1280, 1383, 267, 513, 2754, 1522, 1871, 5647, 267, 4763, 267, 610, 6940, 563, 273, 269, 2608, 14582, 3971, 338, 15846, 31740, 2671, 1978, 10054, 543, 8369, 1759, 593, 741, 2833, 1369, 519, 3919, 269, 27801, 338, 1223, 9305, 547, 6075, 3028, 267, 16542, 267, 610, 1256, 519, 2298, 540, 2472, 563, 274, 269, 2608, 16920, 6421, 15846, 634, 2489, 7099, 610, 14820, 540, 5520, 8309, 3648, 547, 519, 2528, 269, 589, 2318, 10182, 7512, 5698, 267, 5876, 267, 543, 8404, 1851, 2319, 2818, 563, 275, 269, 2608, 6826, 8326, 15846, 17325, 762, 3527, 3144, 676, 2043, 2992, 543, 12927, 519, 2528, 269, 3117, 11962, 2623, 2337, 4396, 1518, 6788, 585, 3025, 3238, 780, 4131, 781, 1413, 693, 930, 1483, 3734, 1806, 1384, 265, 2311, 715, 833, 267, 972, 814, 13840, 1044, 513, 2178, 8561, 593, 6735, 543, 9740, 269, 4256, 1793, 25830, 267, 834, 9617, 1684, 898, 2437, 9356, 741, 3661, 538, 11319, 6302, 543, 20678, 585, 1967, 269, 1717, 267, 1310, 6849, 9880, 3823, 30907, 4074, 2853, 630, 3697, 1210, 4418, 1846, 10914, 1070, 715, 833, 5249, 2182, 547, 6451, 1514 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 273, 269, 5400, 538, 1852, 1070, 607, 3254, 538, 7612, 476, 272, 5416, 1040, 769, 4334, 267, 519, 16796, 1377, 540, 674, 17239, 729, 3648, 2799, 476, 272, 269, 280, 24670, 630, 2641, 269, 9032, 1496, 266, 610, 910, 316, 476, 271, 269, 9262, 8957, 476, 1556, 269, 10695, 314, 266, 610, 910, 316, 273, 269, 1015, 538, 1852, 264, 676, 4598, 547, 2473, 268, 597, 2784, 2747, 267, 607, 3254, 538, 7612, 476, 272, 6357, 1040, 2725, 656, 830, 267, 5910, 11661, 519, 8983, 609, 715, 3722, 1354, 2473, 268, 597, 2784, 2747, 17468, 519, 16796, 1377, 540, 1609, 2784, 2723, 547, 1875, 2784, 2747, 5701, 2157, 630, 8201, 476, 272, 5416, 4297, 543, 519, 674, 17239, 1377, 729, 3648, 8519, 538, 6476, 547, 2473, 11920, 5701, 8983, 630, 8201, 476, 272, 6357, 26895, 4746, 267, 519, 16796, 1322, 6856, 821, 630, 1321, 269, 6734, 1496, 266, 610, 910, 316, 476, 273, 269, 11463, 8957, 476, 1240, 269, 7367, 1496, 266, 610, 910, 316, 476, 274, 269, 10019, 538, 1852, 264, 543, 7537, 295, 630, 3607, 269, 876, 1496, 266, 610, 910, 316, 476, 272, 269, 7597, 8957, 476, 10170, 269, 1240, 1496, 266, 610, 910, 316, 476, 272, 269, 1015, 538, 1852, 264, 1377, 941, 3648, 8519, 950, 8983, 941, 6534, 547, 519, 2473, 268, 597, 2784, 2747, 543, 5910, 13015, 609, 715, 3722, 3648, 17468, 519, 16796, 1377, 540, 1322, 6856, 821, 543, 7537, 295, 547, 519, 1852, 1377, 630, 8993, 999, 476, 272, 6262, 264, 543, 476, 272, 5560, 264, 1916, 274, 269, 274, 269, 23205, 997, 592, 14003, 269, 634, 2551, 540, 2215, 867, 658, 32235, 729, 4389, 676, 476, 10037, 260, 538, 23735, 7007, 30124, 630, 277, 269, 1691, 1496, 266, 610, 910, 316, 476, 273, 269, 273, 8957, 476, 2767, 1496, 266, 610, 910, 316, 476, 275, 269, 276, 538, 8060, 264, 630, 8993, 999, 476, 273, 10490, 9984, 263, 320, 264, 543, 476, 273, 16360, 26895, 4746, 267, 607, 3254, 538, 22955, 476, 273, 10490, 9984, 263, 321, 264, 543, 476, 273, 16360, 1070, 2473, 268, 597, 2784, 2747, 4389, 519, 1297, 540, 840, 656, 1537, 32235, 676, 476, 4375, 260, 630, 278, 269, 4200, 1496, 266, 610, 910, 316, 476, 272, 269, 7871, 8957, 476, 1691, 269, 11011, 1496, 266, 610, 910, 316, 476, 272, 269, 6860, 538, 8060, 1040, 1717, 267, 972, 729, 1100, 1713, 3017, 538, 1297, 540, 1884, 1537, 32235, 538, 519, 2473, 268, 597, 2784, 2747, 1895, 3379, 609, 1852, 1895, 630, 8993, 999, 476, 273, 10490, 9984, 263, 322, 264, 543, 476, 273, 16360, 26895, 5047, 267, 649, 1336, 3648, 2810, 1297, 540, 693, 4958, 545, 32235, 538, 23735, 7007, 30124, 676, 476, 4968, 260, 630, 277, 269, 4962, 1496, 266, 610, 910, 316, 476, 273, 269, 8660, 8957, 476, 273, 269, 6349, 1496, 266, 610, 910, 316, 476, 272, 269, 1015, 538, 8060, 1040, 2725, 656, 830, 267, 649, 1336, 602, 5910, 13015, 609, 715, 3722, 1354, 2473, 268, 597, 2784, 2747, 3648, 2799, 519, 1297, 540, 2215, 867, 658, 543, 840, 656, 1537, 32235, 543, 4389, 519, 1297, 540, 519, 693, 4958, 545, 32235, 3379, 547, 519, 2473, 268, 597, 2784, 2747, 1895, 269, 3143, 1713, 1198, 729, 1336, 593, 519, 1297, 540, 1884, 1537, 32235, 3379, 609, 519, 1852, 1895, 563, 274, 269, 275, 269, 16332, 2129, 626, 12950, 5811, 543, 20309, 540, 7193, 2793, 269, 16332, 2129, 626, 12950, 7020, 540, 7193, 2793, 729, 12290, 547, 6218, 519, 25073, 30704, 2281, 18735, 269, 16200, 4082, 540, 7193, 2793, 729, 3254, 538, 519, 30704, 2281, 540, 519, 30124, 5833, 689, 519, 8983, 540, 1852, 543, 715, 3722, 5701, 2516, 630, 8993, 999, 476, 275, 10490, 9984, 275, 5416, 264, 543, 630, 322, 4297, 1247, 3648, 4617, 4082, 540, 7193, 2793, 729, 3254, 538, 519, 2473, 268, 597, 2784, 2747, 1895, 630, 8201, 476, 275, 10490, 9984, 263, 321, 26895, 2725, 656, 830, 267, 5910, 13015, 540, 715, 3722, 547, 519, 8983, 3648, 21284, 519, 7193, 2793, 4082, 547, 3339, 1377, 630, 8201, 476, 275, 10490, 9984, 263, 323, 26895, 634, 6375, 2129, 626, 12950, 28969, 729, 3067, 1881, 607, 3254, 538, 7612, 476, 275, 16360, 264, 543, 6829, 607, 1611, 5860, 563, 2171, 849, 12290, 519, 7193, 2793, 4082, 676, 7262, 1025, 582, 630, 8993, 999, 476, 275, 18154, 264, 543, 476, 275, 20573, 26895, 29191, 4115, 5160, 5833, 689, 519, 2473, 23735, 7007, 8983, 4951, 3648, 2539, 4082, 3379, 609, 1852, 1895, 267, 543, 8156, 609, 715, 3722, 1354, 2473, 268, 597, 2784, 2747, 3648, 2799, 519, 7193, 2793, 4082, 269, 634, 3448, 16437, 527, 6248, 2079, 540, 519, 7262, 1025, 582, 729, 2016, 538, 7612, 476, 275, 20573, 1916, 274, 269, 276, 269, 7621, 573, 894, 13262, 269, 634, 19842, 2566, 543, 2534, 540, 15934, 11476, 941, 12290, 676, 6375, 2129, 626, 12950, 7020, 540, 476, 279, 14114, 295, 323, 294, 5250, 543, 13382, 343, 2534, 22368, 269, 1306, 3254, 538, 7612, 476, 276, 10490, 1070, 538, 519, 30124, 540, 1852, 543, 715, 3722, 1895, 267, 519, 2281, 4951, 4617, 25273, 540, 476, 279, 14114, 295, 323, 294, 630, 8993, 999, 476, 276, 10490, 9984, 276, 5416, 264, 543, 630, 322, 24270, 543, 1164, 476, 279, 14114, 295, 323, 294, 5250, 729, 4767, 538, 2473, 268, 597, 2784, 2747, 1895, 630, 8201, 476, 276, 10490, 7565, 321, 26895, 2725, 656, 830, 267, 5910, 11661, 519, 8983, 609, 715, 3722, 6870, 519, 9065, 776, 689, 2473, 268, 597, 2784, 2747, 13251, 476, 279, 14114, 295, 323, 294, 5250, 630, 8201, 476, 276, 10490, 9984, 263, 323, 26895, 634, 6375, 2129, 626, 12950, 28969, 540, 476, 279, 15121, 323, 294, 729, 3067, 1881, 607, 1611, 5860, 543, 519, 2164, 616, 6719, 538, 7612, 476, 276, 16360, 1916, 2026, 3254, 538, 7612, 476, 276, 18154, 1070, 2473, 268, 597, 2784, 2747, 25623, 1713, 5786, 540, 13382, 343, 2534, 538, 9065, 776, 5160, 676, 476, 6246, 260, 3379, 547, 519, 1852, 1895, 267, 1247, 5910, 11661, 519, 8983, 609, 715, 3722, 3648, 17468, 519, 13382, 343, 2534, 563, 274, 269, 277, 269, 7442, 9953, 2670, 269, 634, 6375, 2129, 626, 12950, 2079, 540, 2166, 1729, 577, 4435, 524, 543, 524, 5684, 848, 476, 274, 941, 5342, 547, 2708, 519, 1533, 540, 30091, 538, 8983, 9065, 776, 630, 8993, 999, 476, 277, 10490, 9984, 277, 20573, 26895, 1284, 1336, 1970, 4082, 540, 2166, 1729, 577, 4435, 524, 630, 8993, 999, 476, 277, 10490, 9984, 277, 5416, 264, 543, 630, 322, 4297, 543, 524, 5684, 848, 476, 274, 630, 8201, 476, 277, 16360, 9984, 263, 320, 1070, 630, 322, 4297, 538, 25073, 11491, 592, 6242, 543, 519, 8619, 26300, 527, 658, 2281, 5833, 689, 519, 8983, 5701, 1510, 610, 609, 715, 3722, 4805, 269, 769, 4334, 267, 649, 1336, 3648, 2799, 1377, 540, 2166, 1729, 577, 4435, 524, 630, 8201, 476, 277, 10490, 7565, 321, 4297, 543, 524, 5684, 848, 476, 274, 630, 8201, 476, 277, 16360, 9984, 263, 321, 4297, 538, 519, 5439, 5833, 689, 519, 8983, 5701, 609, 2473, 268, 597, 2784, 2747, 4805, 3379, 609, 1346, 540, 519, 1852, 1895, 269, 6164, 532, 519, 8983, 609, 715, 3722, 1354, 2473, 268, 597, 2784, 2747, 3648, 8519, 519, 4082, 540, 2166, 1729, 577, 4435, 524, 630, 8201, 476, 277, 10490, 9984, 263, 323, 4297, 543, 524, 5684, 848, 476, 274, 630, 8201, 476, 277, 16360, 7565, 323, 26895, 634, 6375, 2129, 626, 12950, 28969, 540, 2166, 1729, 577, 4435, 524, 543, 524, 5684, 848, 476, 274, 729, 3067, 1881, 607, 1611, 5860, 543, 519, 2164, 616, 6719, 538, 22955, 476, 277, 18154, 264, 543, 476, 277, 20573, 1916, 2171, 849, 12290, 519, 1533, 540, 30091, 676, 570, 7419, 5085, 22368, 630, 11907, 711, 3254, 1040, 654, 7655, 570, 7419, 5085, 5365, 729, 7298, 538, 9065, 776, 5160, 5833, 689, 8983, 6534, 547, 2473, 268, 597, 2784, 2747, 1247, 2370, 28264, 5365, 729, 4767, 538, 30124, 540, 519, 8983, 1510, 610, 609, 715, 3722, 2126, 4805, 269, 2725, 656, 830, 267, 3648, 18604, 570, 7419, 5085, 5365, 729, 4767, 538, 519, 9065, 776, 540, 715, 3722, 5910, 8972, 8983, 563, 274, 269, 278, 269, 5651, 874, 1670, 7827, 538, 772, 614, 639, 543, 674, 19910, 10495, 269, 772, 614, 710, 6810, 5833, 689, 1852, 543, 715, 3722, 5701, 2516, 4951, 3339, 1277, 1670, 2497, 540, 26707, 7434, 561, 636, 1400, 25853, 2497, 543, 519, 5817, 14189, 983, 2497, 630, 8993, 999, 476, 274, 10490, 9984, 274, 5416, 264, 543, 630, 322, 26895, 2991, 2473, 268, 597, 2784, 2747, 267, 519, 26707, 7434, 561, 636, 1400, 25853, 2497, 4951, 23979, 2497, 609, 6926, 25290, 9245, 630, 8201, 476, 274, 10490, 9984, 263, 321, 26895, 21452, 267, 519, 5160, 5833, 689, 519, 8983, 5910, 8972, 609, 715, 3722, 4951, 3339, 1277, 1670, 2497, 540, 26707, 7434, 561, 636, 1400, 25853, 2497, 630, 8201, 476, 274, 10490, 9984, 263, 323, 264, 1916, 303, 514, 641, 3941, 267, 4947, 609, 519, 2530, 540, 2890, 341, 650, 328, 593, 519, 2627, 540, 26707, 7434, 13423, 26375, 267, 616, 1804, 267, 17031, 267, 543, 5347, 1606, 584, 325, 3166, 20327, 540, 519, 3284, 673, 11919, 9245, 269, 1635, 590, 4932, 267, 29897, 26707, 8922, 5833, 689, 519, 8983, 540, 1852, 543, 715, 3722, 5701, 2516, 4951, 25144, 7856, 8930, 641, 1712, 9306, 2281, 630, 8993, 999, 476, 274, 16360, 9984, 274, 5416, 264, 543, 630, 322, 26895, 2991, 2473, 268, 597, 2784, 2747, 267, 519, 26707, 8922, 2099, 1100, 8930, 641, 617, 5250, 693, 782, 630, 8201, 476, 274, 16360, 9984, 263, 321, 24270, 543, 519, 26707, 8922, 5833, 689, 519, 8983, 540, 715, 3722, 5910, 8972, 1895, 4951, 6926, 2125, 630, 8201, 476, 274, 16360, 9984, 263, 323, 24270, 799, 568, 2808, 606, 3355, 5123, 540, 8930, 641, 617, 30553, 4586, 763, 8825, 2360, 540, 715, 3722, 593, 519, 1970, 10285, 4390, 538, 2474, 540, 905, 322, 1495, 1464, 543, 905, 322, 1495, 640, 13251, 676, 2473, 268, 597, 2784, 2747, 941, 3254, 538, 7305, 476, 273, 269, 9050, 538, 3670, 4775, 8983, 540, 1852, 1895, 941, 544, 730, 543, 9176, 609, 513, 16445, 2450, 540, 476, 1240, 269, 273, 24201, 11721, 24580, 269, 8307, 835, 538, 3670, 23735, 7007, 8983, 729, 544, 730, 543, 2943, 711, 9176, 630, 271, 260, 8957, 476, 1911, 260, 538, 1852, 264, 609, 513, 16445, 2450, 540, 476, 271, 630, 271, 8957, 476, 1240, 269, 273, 267, 24201, 585, 8060, 1040, 6164, 532, 519, 8983, 609, 715, 3722, 1354, 2473, 268, 597, 2784, 2747, 12873, 741, 12680, 543, 2799, 519, 2702, 540, 8951, 547, 1831, 9176, 630, 1911, 8472, 609, 16445, 2450, 540, 476, 1015, 4996, 1186, 11721, 24580, 269, 21058, 8983, 5701, 609, 715, 3722, 1152, 941, 3366, 547, 630, 1911, 8472, 6379, 609, 16445, 2450, 540, 476, 736, 269, 277, 24201, 11721, 24580, 563, 302, 341, 4115, 5821, 568, 6353, 676, 2530, 540, 32235, 543, 21155, 592, 14003, 1813, 547, 1970, 18735, 540, 25073, 30704, 1591, 269, 3776, 24466, 7020, 4951, 602, 2473, 268, 597, 2784, 2747, 3648, 15469, 519, 22930, 540, 519, 2215, 867, 658, 32235, 269, 901, 1267, 729, 10416, 5812, 609, 13495, 331, 781, 1353, 267, 799, 1185, 3254, 602, 519, 2215, 867, 658, 32235, 941, 1454, 811, 6213, 982, 519, 1884, 1537, 32235, 547, 519, 9357, 1944, 5982, 4598, 1547, 769, 519, 1459, 1353, 267, 715, 3722, 7245, 3927, 12873, 519, 2215, 867, 658, 32235, 262, 15395, 543, 15469, 519, 30553, 540, 21155, 548, 269, 634, 18735, 540, 11491, 592, 6242, 2281, 4249, 606, 1271, 1909, 538, 32235, 1646, 543, 30553, 269, 898, 814, 1044, 4080, 602, 9357, 1944, 5982, 8519, 519, 18735, 540, 519, 11491, 592, 6242, 2281, 538, 3731, 9065, 776, 1547, 769, 3731, 30124, 267, 7193, 2793, 729, 711, 9571, 538, 11491, 592, 6242, 2281, 610, 522, 14231, 538, 2215, 867, 658, 32235, 855, 729, 3810, 6829, 609, 519, 22612, 540, 21155, 548, 2208, 1547, 3776, 1267, 14626, 3660, 609, 519, 1867, 602, 267, 538, 1852, 1895, 267, 1164, 4082, 540, 7193, 2793, 729, 9571, 538, 11491, 592, 6242, 2281, 540, 1884, 1537, 21155, 548, 799, 8612, 1164, 1377, 540, 18735, 1547, 1284, 849, 1336, 602, 519, 7193, 2793, 4082, 729, 3648, 2799, 676, 715, 3722, 5910, 13015, 1354, 2473, 268, 597, 2784, 2747, 269, 898, 814, 1044, 4080, 602, 9357, 1944, 5982, 11506, 519, 533, 7871, 4082, 799, 1287, 14931, 519, 4082, 540 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5843, 7717, 636, 1085, 565, 641, 754, 6319, 630, 289, 584, 332, 269, 535, 4700, 10515, 601, 267, 1520, 5050, 636, 25671, 6134, 324, 700, 267, 623, 640, 5766, 1090, 2742, 1608, 558, 601, 534, 657, 700, 11482, 1074, 267, 623, 614, 529, 536, 807, 584, 7534, 700, 267, 570, 624, 7559, 1035, 518, 604, 16288, 25846, 5651, 534, 267, 570, 624, 7559, 1232, 584, 27231, 630, 290, 269, 3465, 331, 264, 10515, 601, 267, 670, 2678, 690, 28016, 533, 4883, 23628, 630, 290, 641, 601, 4700, 4591, 1777, 636, 267, 2441, 7578, 7202, 1092, 630, 293, 832, 12921, 264, 9466, 8124, 1299, 808, 1069, 344, 267, 20676, 657, 11501, 10636, 665, 541, 16476, 630, 7922, 2541, 264, 932, 532, 543, 17286, 698, 514, 7578, 838, 4586, 21292, 281, 589, 576, 327, 267, 22802, 267, 623, 614, 573, 4451, 3279, 267, 570, 1263, 326, 592, 684, 0, 19868, 538, 1315, 6178, 909, 454, 23325, 8752, 940, 6997, 338, 454, 4415, 4223, 1335, 698, 923, 267, 1451, 875, 547, 1039, 267, 10208, 267, 9062, 267, 7941, 267, 543, 4009, 693, 17500, 3728, 3432, 563, 663, 2241, 8691, 1862, 258, 273, 14066, 1297, 454, 13043, 32317, 568, 513, 9735, 2979, 1565, 1907, 585, 13013, 2473, 269, 4569, 32317, 568, 3617, 585, 782, 2483, 267, 8691, 3267, 1721, 1840, 2676, 299, 7637, 779, 4569, 21541, 700, 924, 1107, 8342, 609, 25478, 267, 25513, 267, 18827, 543, 811, 2336, 299, 7637, 781, 4569, 21541, 568, 606, 3872, 3014, 585, 1453, 476, 274, 268, 278, 1296, 2025, 2483, 4486, 1983, 899, 4946, 2676, 663, 11015, 6061, 454, 29222, 4569, 10632, 454, 29222, 4569, 10632, 3091, 811, 982, 476, 2568, 3872, 9910, 3766, 1868, 585, 1453, 547, 1628, 543, 32260, 741, 4569, 1983, 2483, 267, 1297, 7554, 2676, 6635, 603, 332, 655, 1787, 18827, 25513, 10794, 454, 288, 9500, 332, 655, 1787, 18827, 543, 25513, 568, 513, 3014, 602, 729, 2966, 547, 948, 3214, 1451, 875, 547, 1039, 543, 10208, 2338, 1247, 2483, 5976, 23937, 610, 454, 1862, 6635, 603, 332, 655, 1787, 18827, 543, 454, 529, 7654, 513, 1434, 454, 4415, 11822, 24911, 1749, 3214, 666, 2259, 1840, 543, 12408, 2483, 4754, 2259, 1840, 543, 454, 269, 3962, 15839, 781, 454, 303, 6269, 344, 1849, 657, 564, 568, 606, 3872, 3014, 602, 13071, 3214, 2259, 2979, 4238, 2483, 267, 6498, 543, 8691, 1862, 330, 573, 2259, 454, 13914, 596, 666, 10726, 707, 5839, 538, 513, 5929, 3014, 540, 715, 574, 281, 634, 25513, 10794, 286, 634, 25513, 2483, 1993, 715, 574, 281, 634, 454, 29228, 1862, 337, 2737, 540, 634, 454, 8138, 339, 3555, 568, 606, 3498, 538, 799, 596, 723, 547, 4945, 2953, 2626, 16181, 547, 6060, 2798, 543, 10726, 707, 2483, 529, 606, 3498, 454, 13043, 8342, 476, 272, 560, 6103, 281, 18827, 1299, 25513, 454, 27736, 666, 10536, 513, 4396, 5748, 538, 2979, 543, 723, 513, 1390, 942, 3257, 621, 256, 589, 7874, 8773, 10274, 3214, 2483, 2421, 10203, 3615, 3040, 454, 1862, 24992, 1840, 543, 454, 20877, 1227, 3638, 543, 1187, 1604, 2636, 909, 547, 476, 2004, 1053, 547, 1451, 2596, 2979, 1983, 2483, 4118, 1983, 538, 1840, 2676, 267, 8691, 543, 6498, 454, 13043, 5517, 25420, 454, 13043, 5517, 25420, 786, 948, 596, 1711, 543, 4688, 7792, 2979, 1249, 3211, 269, 898, 1281, 8870, 2483, 267, 8691, 1862, 20657, 2711, 1840, 2676, 13043, 1299, 623, 29521, 269, 7256, 674, 697, 454, 29919, 6611, 744, 302, 302, 454, 13043, 1299, 623, 29521, 269, 7256, 674, 697, 568, 606, 3872, 3014, 602, 2636, 596, 547, 1451, 2979, 269, 634, 813, 6227, 782, 2483, 541, 10379, 4238, 267, 1519, 1840, 2676, 267, 8691, 267, 6498, 267, 543, 6310, 454, 297, 311, 290, 597, 6350, 13174, 568, 513, 1982, 602, 6087, 596, 547, 1711, 2688, 12980, 5751, 585, 1053, 538, 3119, 1153, 2483, 1492, 5106, 1826, 630, 611, 1288, 2676, 267, 3092, 13776, 1297, 540, 2055, 454, 290, 1844, 3726, 4569, 568, 513, 11015, 3014, 2813, 676, 9177, 25440, 602, 12662, 707, 1840, 543, 12408, 2483, 20365, 1840, 543, 454, 338, 6295, 1983, 1862, 332, 3941, 281, 18827, 543, 454, 267, 1142, 609, 3670, 454, 300, 9680, 288, 25513, 700, 25492, 454, 300, 9680, 288, 25513, 17676, 454, 300, 9680, 288, 25513, 17676, 3091, 606, 2653, 1259, 547, 1451, 12408, 676, 4730, 3756, 269, 634, 1453, 786, 2972, 6061, 2483, 324, 6470, 1259, 547, 1451, 454, 2421, 4730, 3756, 454, 312, 1662, 8892, 15306, 10298, 623, 26404, 13456, 563, 6781, 659, 639, 18074, 568, 513, 1863, 3562, 14025, 1907, 602, 2636, 596, 547, 1451, 2979, 269, 6301, 2934, 281, 910, 31418, 5006, 1259, 547, 1451, 2979, 2483, 2791, 666, 798, 1840, 267, 0, 9377, 545, 1080, 538, 1279, 3410, 6284, 3965, 7866, 4744, 18620, 269, 1703, 568, 513, 2027, 8849, 5547, 585, 519, 4393, 540, 8188, 607, 10353, 547, 824, 1875, 2183, 3615, 269, 1548, 798, 1004, 609, 5294, 641, 1725, 657, 807, 3068, 21901, 1294, 269, 16497, 689, 513, 3126, 540, 476, 1015, 2550, 609, 2634, 3441, 269, 18370, 641, 1725, 657, 807, 849, 1572, 3068, 21901, 267, 568, 513, 5042, 4524, 540, 3068, 8226, 538, 799, 563, 4415, 1984, 320, 795, 990, 990, 747, 267, 15567, 1014, 544, 9492, 1695, 517, 267, 30602, 693, 21531, 14024, 267, 544, 19376, 695, 3471, 269, 2755, 11095, 5294, 641, 1725, 657, 807, 8843, 519, 1482, 1883, 4162, 607, 5294, 641, 1725, 657, 807, 9715, 1310, 2634, 5945, 1775, 269, 22206, 18996, 3335, 723, 1287, 547, 7048, 593, 9739, 610, 10571, 585, 7114, 23947, 267, 1920, 267, 2828, 610, 4583, 2043, 269, 21238, 23119, 689, 513, 2783, 1572, 5294, 641, 1725, 657, 807, 267, 811, 1419, 1572, 3068, 21901, 267, 1018, 10522, 646, 568, 8572, 547, 5431, 610, 3314, 1022, 2158, 3068, 267, 711, 1256, 1010, 1378, 563, 3682, 338, 641, 1725, 657, 807, 2010, 267, 4255, 267, 2589, 267, 3123, 267, 2126, 267, 1382, 543, 3068, 6284, 782, 4988, 1433, 269, 901, 949, 1118, 8108, 3347, 811, 2352, 267, 1312, 538, 513, 269, 5994, 596, 1223, 660, 5431, 9082, 8188, 267, 543, 1256, 707, 1378, 1920, 6743, 14542, 269, 12815, 543, 2487, 2090, 540, 5294, 641, 1725, 657, 807, 5614, 518, 15062, 269, 2659, 7649, 4667, 4914, 543, 707, 1126, 568, 711, 16523, 269, 4706, 711, 602, 649, 3112, 3314, 1018, 2576, 5654, 899, 269, 18370, 641, 1725, 657, 807, 4214, 540, 5294, 641, 1725, 657, 807, 676, 5789, 26713, 19986, 3122, 269, 12389, 609, 5294, 641, 1725, 657, 807, 666, 581, 2352, 267, 855, 596, 723, 547, 4339, 547, 2119, 547, 581, 6126, 563, 763, 10116, 569, 4760, 540, 8097, 6530, 3296, 513, 269, 1261, 568, 8572, 547, 2697, 1864, 267, 1317, 540, 1010, 5393, 4686, 2783, 1634, 607, 3068, 21901, 267, 610, 5294, 641, 1725, 657, 807, 269, 2659, 1650, 6927, 11239, 546, 1276, 12578, 267, 536, 2784, 267, 543, 32650, 562, 752, 599, 4821, 269, 15604, 476, 1001, 272, 5294, 641, 1725, 657, 807, 1382, 4099, 3068, 547, 3068, 269, 18370, 641, 1725, 657, 807, 568, 513, 2783, 602, 666, 1118, 621, 7543, 547, 5431, 519, 8188, 540, 1866, 267, 689, 2828, 547, 7260, 3197, 547, 269, 1809, 1082, 1004, 609, 519, 2783, 616, 2111, 547, 1291, 11327, 2729, 269, 2271, 3757, 29569, 32480, 540, 3404, 12682, 665, 514, 10607, 3068, 4393, 538, 269, 18370, 641, 1725, 657, 807, 3006, 1634, 607, 3068, 21901, 568, 513, 4524, 540, 3068, 8226, 1141, 519, 2702, 547, 5431, 8188, 568, 15176, 267, 1247, 519, 2702, 547, 5431, 824, 3615, 949, 581, 5266, 16856, 269, 6490, 22789, 10530, 543, 15377, 689, 9413, 267, 26725, 3126, 543, 811, 269, 29955, 519, 3068, 4565, 785, 1294, 579, 540, 544, 543, 5294, 641, 1725, 657, 807, 8653, 269, 2060, 1665, 1286, 5894, 548, 267, 13171, 9372, 554, 1430, 718, 267, 32650, 534, 986, 1597, 267, 13275, 521, 583, 2023, 269, 898, 666, 2196, 538, 3885, 267, 609, 930, 7895, 580, 4181, 6029, 607, 1082, 607, 4557, 269, 1358, 616, 1287, 4843, 609, 1082, 1614, 13548, 3126, 267, 799, 2270, 835, 3239, 540, 513, 563, 10144, 609, 713, 2783, 723, 3339, 4987, 543, 3965, 267, 6093, 1970, 24038, 5075, 267, 543, 1100, 1686, 540, 2634, 5945, 269, 2368, 9193, 2303, 607, 1082, 607, 476, 272, 538, 476, 2004, 1004, 616, 4535, 609, 519, 2783, 269, 744, 3405, 1696, 620, 267, 476, 1001, 272, 267, 1223, 1267, 538, 606, 813, 518, 21082, 5294, 641, 1725, 657, 807, 795, 537, 6975, 1696, 620, 267, 476, 1220, 274, 269, 18370, 641, 1725, 657, 807, 849, 1634, 607, 3068, 21901, 4016, 547, 513, 4049, 17211, 538, 9301, 5432, 1004, 689, 741, 3068, 269, 25833, 5294, 641, 1725, 657, 807, 4719, 543, 4686, 3676, 269, 21733, 1600, 5294, 641, 1725, 657, 807, 2164, 689, 3441, 547, 519, 3060, 267, 6466, 11095, 5294, 641, 1725, 657, 807, 568, 3361, 676, 693, 2988, 673, 1646, 540, 519, 3060, 269, 25833, 5294, 641, 1725, 657, 807, 31185, 568, 27537, 676, 513, 4049, 15400, 15717, 538, 269, 634, 1034, 1455, 10835, 540, 3068, 21901, 568, 606, 17418, 547, 5431, 610, 5806, 3729, 1063, 8188, 269, 1284, 6594, 476, 1015, 2550, 609, 2937, 976, 564, 15087, 593, 513, 6007, 540, 3068, 30112, 4255, 269, 1703, 616, 1896, 1455, 8017, 10838, 519, 2090, 269, 2368, 1004, 609, 519, 4524, 616, 8572, 547, 21028, 741, 269, 19837, 1539, 725, 540, 3068, 543, 1843, 6284, 538, 11095, 5294, 641, 1725, 657, 807, 269, 1306, 1352, 2729, 609, 1200, 2783, 267, 835, 538, 799, 11132, 2934, 1689, 1142, 942, 1352, 19380, 8289, 540, 873, 267, 519, 20740, 32195, 538, 563, 1607, 568, 513, 13680, 2146, 585, 3068, 9420, 23551, 6002, 543, 741, 6068, 3283, 547, 1865, 1272, 609, 3068, 21901, 269, 18370, 641, 1725, 657, 807, 666, 2014, 3978, 1514, 2042, 267, 607, 596, 1522, 4952, 269, 634, 535, 639, 6134, 14934, 6350, 21018, 689, 519, 1624, 760, 1388, 16794, 547, 519, 4776, 30613, 1858, 540, 519, 2634, 269, 18370, 641, 1725, 657, 923, 19655, 267, 5294, 641, 1725, 657, 923, 12332, 267, 5294, 641, 1725, 657, 923, 8144, 267, 7005, 8675, 4214, 540, 5294, 641, 1725, 657, 923, 269, 1703, 568, 1434, 2963, 602, 4931, 30533, 539, 4525, 540, 3308, 16794, 616, 2027, 2213, 585, 3068, 8226, 269, 12815, 12405, 6059, 14798, 2068, 11411, 524, 26501, 269, 1717, 267, 1034, 5294, 641, 1725, 657, 923, 723, 930, 1966, 609, 1843, 6284, 607, 1134, 269, 18370, 641, 1725, 657, 807, 267, 849, 1572, 3068, 21901, 267, 568, 606, 15717, 538, 519, 6284, 540, 8188, 269, 769, 9715, 5294, 641, 1725, 657, 807, 267, 4057, 3068, 6284, 568, 519, 1267, 540, 2634, 5945, 269, 18370, 641, 1725, 657, 807, 610, 3068, 21901, 568, 3833, 513, 14042, 2783, 269, 1284, 1305, 856, 547, 2708, 519, 10335, 540, 795, 338, 5294, 641, 1725, 657, 807, 1210, 4255, 609, 14542, 607, 1134, 607, 5432, 8188, 269, 18370, 641, 1725, 657, 807, 19967, 585, 5294, 641, 517, 3068, 543, 989, 333, 657, 807, 711, 6616, 729, 8385, 2219, 547, 581, 513, 1267, 540, 2634, 3441, 320, 8482, 7133, 513, 1880, 2634, 3148, 267, 585, 1383, 269, 18370, 641, 1725, 657, 807, 689, 19967, 5294, 641, 517, 267, 2495, 3068, 267, 543, 989, 333, 657, 807, 267, 2495, 1875, 32474, 267, 849, 1572, 3068, 21901, 267, 568, 513, 5042, 4524, 540, 3068, 8226, 538, 799, 519, 2702, 547, 5431, 5432, 8188, 267, 1519, 3283, 1378, 3068, 1582, 13440, 10744, 267, 568, 15176, 267, 1247, 824, 3344, 540, 3308, 4393, 552, 269, 898, 4386, 538, 519, 9000, 540, 2634, 5945, 543, 568, 3006, 5219, 547, 607, 22787, 5294, 641, 1725, 657, 807, 563, 3682, 338, 641, 1725, 657, 807, 267, 610, 3068, 21901, 267, 568, 519, 17418, 547, 5431, 8188, 269, 2755, 930, 1004, 1867, 513, 1360, 16496, 15717, 602, 1152, 7506, 519, 6284, 540, 8188, 267, 1866, 1265, 519, 17211, 11498, 547, 519, 6284, 540, 824, 15128, 267, 971, 607, 269, 18370, 641, 1725, 657, 807, 568, 519, 17418, 547, 21028, 5432, 8188, 269, 853, 3326, 327, 4752, 678, 267, 795, 739, 795, 267, 1714, 2763, 512, 267, 32650, 1676, 330, 928, 19816, 1775, 476, 1001, 272, 22907, 538, 269, 19837, 27937, 1063, 3068, 8226, 543, 3068, 3965, 538, 4079, 269, 5525, 2303, 602, 519, 9860, 540, 11095, 5294, 641, 1725, 657, 807, 568, 1063, 476, 273, 543, 476, 273, 269, 8131, 547, 3068, 267, 5294, 641, 1725, 657, 807, 1382, 4099, 4832, 267, 476, 1001, 272, 2694 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14258, 616, 14258, 538, 799, 519, 8953, 7930, 2242, 689, 20581, 547, 513, 1880, 1871, 681, 269, 634, 1198, 540, 713, 568, 547, 7930, 2333, 519, 24293, 585, 623, 689, 4642, 547, 922, 5021, 1871, 267, 7551, 4227, 922, 1198, 269, 1677, 6338, 623, 25144, 2059, 519, 3259, 540, 519, 5912, 7455, 267, 623, 1590, 849, 581, 14354, 547, 519, 3259, 540, 519, 5912, 7455, 561, 269, 4475, 1384, 272, 623, 678, 692, 663, 692, 5522, 692, 1012, 26157, 519, 1079, 4170, 1384, 13295, 692, 272, 561, 678, 692, 337, 331, 815, 918, 454, 8489, 918, 568, 513, 3586, 269, 4475, 585, 1142, 5912, 538, 513, 5912, 7455, 519, 8953, 681, 543, 3259, 700, 307, 666, 581, 2966, 547, 3160, 547, 918, 936, 519, 2898, 3259, 540, 519, 7455, 780, 763, 946, 540, 21846, 4354, 1407, 21846, 14258, 666, 581, 1031, 547, 6443, 547, 2269, 2074, 538, 835, 540, 1079, 2081, 281, 910, 1290, 22683, 14258, 910, 1733, 14709, 27139, 14258, 1290, 22683, 4354, 1407, 692, 2080, 5912, 14258, 540, 3160, 3259, 616, 1031, 593, 2901, 2427, 540, 513, 3844, 9764, 9095, 540, 8953, 681, 780, 1012, 1733, 14709, 21846, 531, 4354, 1407, 692, 288, 28025, 27139, 7455, 5161, 540, 1079, 27139, 14258, 540, 3160, 3259, 609, 1100, 3844, 9095, 269, 634, 8953, 540, 713, 7455, 568, 7683, 4657, 543, 4061, 519, 3196, 568, 7683, 4657, 269, 1703, 568, 1152, 835, 1448, 570, 322, 630, 1492, 1455, 17242, 1448, 264, 693, 799, 623, 568, 513, 5021, 269, 901, 1797, 28025, 27139, 14258, 616, 10930, 982, 12432, 14258, 269, 1717, 267, 789, 3112, 2141, 581, 19034, 1063, 547, 2786, 1813, 547, 5934, 8953, 4170, 780, 306, 1575, 699, 4582, 566, 4014, 5912, 14258, 666, 2569, 519, 1198, 540, 24293, 3196, 593, 513, 6174, 713, 666, 849, 581, 2417, 4389, 610, 1256, 17515, 676, 9870, 835, 2427, 540, 519, 4155, 3448, 547, 519, 824, 269, 634, 3017, 538, 4463, 1063, 519, 1079, 5011, 540, 519, 4155, 568, 1634, 607, 519, 24101, 699, 4582, 566, 630, 10345, 6393, 1103, 3069, 267, 676, 7311, 2614, 24101, 699, 4582, 566, 519, 25739, 3196, 666, 581, 1500, 547, 957, 13902, 547, 519, 2627, 540, 519, 4155, 11319, 519, 6174, 1524, 2864, 982, 18530, 621, 1055, 780, 332, 341, 476, 273, 1315, 681, 642, 476, 273, 16009, 815, 815, 8406, 575, 305, 692, 663, 692, 10345, 815, 645, 16009, 692, 1012, 4475, 281, 645, 341, 476, 273, 26228, 7811, 24101, 699, 4582, 566, 267, 10323, 3193, 25883, 267, 1141, 642, 568, 538, 544, 4882, 692, 326, 305, 692, 763, 5021, 10323, 4386, 1141, 519, 8953, 678, 815, 681, 267, 2059, 519, 3844, 9095, 540, 513, 12432, 7455, 610, 693, 570, 322, 593, 513, 28025, 27139, 7455, 780, 1103, 2259, 585, 4155, 1811, 609, 1164, 1374, 11250, 267, 2647, 31566, 1811, 610, 1507, 2234, 4512, 267, 10323, 10946, 1223, 581, 1360, 1804, 543, 1131, 581, 24034, 547, 10256, 16042, 621, 543, 5906, 609, 4389, 11250, 269, 4475, 519, 1739, 1655, 2259, 3652, 616, 3622, 4294, 281, 10016, 699, 4582, 566, 4927, 7363, 3666, 856, 1152, 476, 3393, 260, 540, 519, 24293, 3196, 623, 630, 328, 4318, 269, 10323, 815, 476, 271, 269, 3393, 16360, 341, 273, 17320, 305, 26895, 769, 6917, 2127, 24101, 699, 4582, 566, 4927, 711, 9765, 476, 278, 260, 630, 272, 538, 476, 1691, 269, 276, 543, 16382, 2009, 267, 2234, 4512, 1058, 581, 6074, 971, 602, 24101, 699, 4582, 566, 568, 6854, 1369, 519, 5551, 1871, 540, 476, 276, 260, 630, 272, 538, 476, 736, 264, 769, 4683, 2127, 267, 24101, 699, 4582, 566, 4927, 711, 9765, 476, 276, 260, 634, 5934, 1450, 762, 10323, 568, 476, 273, 269, 276, 260, 630, 272, 538, 476, 2412, 264, 547, 1450, 585, 12775, 5890, 7675, 642, 538, 737, 874, 543, 681, 538, 15432, 543, 2655, 23082, 8904, 585, 476, 280, 269, 10037, 332, 4882, 273, 3947, 1384, 1012, 645, 341, 476, 273, 26228, 1450, 762, 10323, 815, 476, 28434, 269, 276, 681, 692, 9558, 819, 4354, 557, 5071, 11621, 634, 3703, 3044, 585, 8888, 519, 2234, 4512, 540, 27139, 543, 9764, 14258, 4470, 593, 3432, 543, 24101, 699, 4582, 566, 568, 1384, 15650, 540, 21846, 4354, 557, 1703, 616, 1079, 2010, 540, 17208, 1031, 547, 1106, 519, 27139, 3296, 540, 513, 12432, 610, 28025, 27139, 7455, 269, 1452, 616, 281, 910, 763, 12308, 1355, 910, 763, 12945, 29236, 1280, 513, 5912, 7455, 519, 3830, 678, 331, 815, 918, 1590, 4019, 1775, 4318, 269, 519, 8953, 1590, 2569, 538, 8167, 547, 519, 3259, 269, 901, 568, 519, 3959, 540, 513, 18700, 543, 835, 7455, 799, 814, 713, 3959, 568, 519, 12308, 1355, 269, 6271, 1455, 7455, 6508, 689, 519, 12308, 1355, 568, 519, 12945, 29236, 799, 568, 711, 513, 18700, 1775, 4318, 269, 678, 331, 568, 711, 2141, 3586, 269, 1717, 621, 666, 581, 1031, 936, 513, 1978, 2039, 543, 568, 1447, 1950, 982, 519, 12308, 1355, 780, 763, 12308, 1355, 692, 1492, 3830, 540, 519, 12308, 1355, 666, 581, 6508, 689, 519, 1657, 6516, 267, 799, 2982, 1079, 2798, 2673, 1927, 630, 300, 543, 715, 264, 593, 513, 5912, 7455, 540, 3259, 700, 307, 281, 568, 519, 11539, 5086, 1063, 519, 17242, 693, 631, 543, 519, 2786, 30263, 568, 519, 8126, 1113, 5086, 547, 631, 689, 570, 609, 4704, 547, 30263, 1535, 568, 519, 15558, 547, 631, 689, 519, 2786, 30263, 693, 513, 3845, 586, 689, 570, 561, 568, 519, 3259, 689, 1448, 570, 547, 1022, 1448, 631, 593, 519, 7455, 630, 2254, 3254, 264, 561, 568, 519, 3259, 2059, 519, 7455, 689, 631, 547, 715, 561, 568, 519, 5086, 5705, 2105, 676, 519, 9095, 561, 540, 8953, 678, 692, 32056, 10474, 1384, 1012, 561, 815, 678, 630, 577, 867, 3259, 1070, 678, 331, 815, 918, 568, 2838, 543, 2655, 23082, 476, 272, 29265, 815, 630, 331, 270, 298, 2020, 23751, 331, 561, 918, 16949, 3947, 1341, 3586, 269, 1809, 950, 561, 815, 476, 271, 267, 2073, 865, 3586, 815, 476, 271, 454, 11997, 1384, 4263, 519, 1439, 540, 513, 5912, 678, 284, 681, 543, 561, 815, 700, 307, 267, 4758, 918, 815, 678, 331, 815, 681, 299, 307, 269, 901, 3947, 1384, 1012, 561, 476, 273, 630, 514, 32494, 264, 815, 476, 273, 681, 299, 307, 692, 1607, 568, 519, 2596, 3830, 540, 519, 12308, 1355, 269, 1403, 922, 2175, 616, 13854, 543, 3432, 568, 3586, 24293, 3196, 786, 581, 5189, 25144, 780, 1012, 634, 10699, 545, 3474, 629, 7637, 692, 763, 12945, 29236, 568, 711, 513, 3020, 18700, 543, 3112, 2141, 581, 1031, 269, 898, 4114, 23660, 1360, 2673, 547, 513, 18700, 267, 2705, 267, 543, 666, 581, 1031, 1369, 513, 1978, 2039, 540, 24017, 5086, 269, 769, 2259, 621, 568, 1454, 4443, 1305, 856, 513, 12945, 29236, 982, 513, 12308, 1355, 543, 8754, 621, 568, 811, 4122, 1031, 1141, 3617, 780, 331, 274, 1535, 284, 476, 277, 298, 692, 663, 692, 344, 284, 331, 692, 1012, 15240, 23082, 586, 815, 561, 538, 519, 4082, 585, 1535, 3947, 692, 344, 274, 1535, 284, 476, 277, 298, 454, 7712, 692, 298, 815, 678, 331, 815, 681, 299, 307, 454, 2005, 5205, 602, 1384, 344, 274, 1535, 284, 476, 277, 681, 299, 570, 692, 763, 3259, 540, 513, 21846, 4354, 557, 22490, 547, 3687, 574, 1047, 10426, 10152, 2598, 1260, 3228, 21846, 7455, 13080, 1590, 581, 2966, 865, 602, 789, 6922, 1047, 18213, 9636, 543, 12366, 1047, 3106, 269, 6333, 519, 7455, 2630, 1384, 1012, 2311, 1022, 1448, 519, 24293, 3196, 692, 332, 341, 476, 273, 623, 284, 678, 692, 8117, 2094, 3196, 815, 2527, 1535, 10231, 519, 24293, 10231, 693, 1022, 1448, 568, 1384, 341, 273, 524, 284, 678, 692, 328, 4318, 269, 519, 5488, 519, 1689, 538, 8953, 519, 5488, 1689, 538, 524, 543, 4061, 519, 5488, 24293, 3196, 568, 5189, 4611, 538, 18213, 9636, 543, 3106, 4220, 780, 17637, 4441, 4363, 513, 5021, 1871, 540, 524, 540, 476, 271, 269, 274, 332, 273, 4882, 267, 1657, 799, 18213, 9636, 3217, 1747, 269, 634, 5912, 7455, 3259, 700, 307, 666, 581, 5462, 689, 524, 607, 5205, 1384, 341, 274, 700, 307, 815, 524, 305, 692, 263, 3602, 642, 568, 538, 544, 4882, 2020, 763, 29196, 540, 513, 10699, 545, 3474, 629, 7637, 769, 1931, 602, 519, 17242, 13080, 666, 581, 7229, 513, 9936, 1634, 607, 519, 6521, 1590, 849, 581, 7229, 780, 306, 284, 692, 299, 307, 815, 966, 294, 476, 2190, 681, 692, 309, 293, 25883, 306, 815, 674, 294, 476, 273, 692, 307, 836, 550, 700, 9975, 543, 11192, 7455, 700, 9975, 769, 1931, 585, 513, 12432, 10826, 547, 1847, 6472, 998, 519, 1219, 3005, 5086, 1142, 5912, 7455, 1590, 873, 998, 513, 2417, 1219, 3005, 3193, 780, 1012, 634, 17242, 13080, 616, 5833, 607, 5205, 281, 8668, 815, 10001, 1341, 966, 307, 815, 594, 310, 1341, 654, 308, 815, 594, 308, 1656, 692, 299, 8668, 815, 630, 681, 1341, 590, 3738, 16009, 1341, 570, 476, 273, 476, 273, 692, 1012, 634, 11192, 7455, 3259, 700, 20135, 568, 2016, 676, 1384, 299, 20135, 815, 476, 273, 700, 339, 1341, 700, 7563, 692, 1012, 700, 7563, 815, 476, 271, 700, 7563, 815, 681, 263, 476, 273, 3193, 25589, 30787, 856, 12432, 543, 28025, 27139, 14258, 634, 8998, 1899, 2488, 606, 1271, 4704, 593, 3135, 689, 799, 824, 2934, 666, 581, 3964, 543, 621, 666, 581, 1305, 856, 2901, 676, 2757, 610, 11282, 2409, 269, 17553, 856, 1210, 519, 8126, 1113, 7285, 1505, 17553, 856, 585, 8126, 1113, 14258, 568, 2147, 547, 519, 1505, 1031, 585, 9764, 14258, 269, 901, 568, 519, 1034, 4977, 540, 519, 2757, 2409, 543, 621, 666, 581, 1031, 585, 1022, 5912, 7455, 269, 898, 568, 17298, 1210, 513, 519, 617, 565, 924, 543, 513, 11746, 543, 267, 607, 609, 519, 9764, 14258, 1505, 621, 568, 2556, 547, 1101, 1305, 856, 519, 10167, 1448, 594, 269, 634, 1505, 676, 799, 713, 568, 2944, 568, 9838, 547, 602, 1031, 585, 9764, 14258, 269, 4495, 519, 10167, 1448, 814, 1044, 6378, 267, 17242, 2798, 570, 543, 772, 692, 1012, 634, 7127, 543, 14827, 5912, 14258, 692, 296, 272, 568, 6074, 607, 513, 16147, 3259, 971, 602, 621, 568, 681, 270, 736, 267, 1141, 681, 568, 519, 5934, 8953, 540, 22441, 476, 272, 568, 7229, 689, 561, 272, 1210, 476, 272, 815, 630, 331, 2641, 1315, 277, 681, 299, 307, 3738, 263, 5197, 270, 264, 589, 519, 617, 565, 924, 568, 1305, 693, 570, 267, 13988, 547, 594, 609, 513, 2542, 540, 476, 876, 476, 1822, 271, 543, 476, 272, 568, 5828, 1055, 589, 16147, 3259, 540, 561, 272, 568, 6027, 689, 570, 543, 20898, 538, 693, 1448, 589, 1210, 519, 519, 617, 565, 924, 269, 589, 890, 326, 568, 9141, 883, 519, 2666, 693, 713, 1448, 543, 513, 17970, 538, 713, 568, 1031, 547, 12398, 589, 780, 1012, 634, 7127, 543, 14827, 5912, 14258, 692, 331, 273, 568, 519, 3845, 1472, 519, 7455, 689, 570, 547, 645, 269, 630, 331, 2420, 1315, 476, 277, 681, 299, 307, 3738, 263, 5197, 1315, 3738, 5232, 476, 273, 568, 7229, 689, 561, 273, 1210, 476, 273, 815, 476, 273, 568, 1305, 593, 519, 8880, 5858, 540, 519, 519, 617, 565, 924, 589, 16147, 3259, 630, 331, 273, 561, 272, 3738, 568, 6027, 689, 589, 543, 20898, 538, 693, 1448, 645, 1210, 519, 519, 617, 565, 924, 269, 589, 890, 326, 609, 513, 17970, 568, 1031, 547, 12398, 645, 901, 5650, 568, 7368, 585, 782, 7766, 4259, 856, 2798, 909, 547, 519, 1455, 17242, 1448, 570, 693, 519, 1439, 540, 519, 7127, 5912, 7455, 780, 30787, 856, 519, 890, 7714, 593, 519, 14827, 540, 513, 5912, 7455, 634, 14827, 5912, 7455, 568, 1305, 856, 689, 772, 547, 570, 273, 609, 519, 519, 617, 565, 924, 1305, 693, 772, 543, 13988, 547, 594, 971, 602, 519, 8880, 5858, 568, 2542, 476, 876, 476, 1822, 271, 269, 634, 8126, 1113, 7285, 616, 519, 10208, 539, 689, 476, 11740, 1729, 2285, 519, 2838, 8846, 269, 1306, 585, 519, 7127, 5912, 7455, 267, 1016, 7302, 3581, 616, 2356, 2838, 693, 519, 4098, 543, 1439, 540, 519, 14827, 5912, 7455, 547, 2327, 602, 890, 7714, 616, 5116, 693, 3169, 23385, 540, 998, 5832, 720, 269, 1403, 513, 28025, 27139, 7455, 568, 1373, 1305, 856, 267, 519, 1455, 17242, 1448, 1063, 519, 1079, 5912, 14258, 568, 1305, 856, 1586, 267, 2348, 2907, 1044, 6378, 693, 519, 1439, 540, 519, 7127 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 769, 519, 1353, 540, 15257, 267, 621, 568, 1898, 547, 1174, 875, 1585, 2950, 1599, 1369, 1114, 2686, 267, 3140, 267, 543, 2797, 8658, 269, 2290, 971, 2146, 602, 26350, 3007, 1813, 547, 922, 4763, 267, 6988, 267, 543, 2518, 4644, 568, 7332, 2950, 269, 634, 24205, 540, 7332, 18877, 1576, 786, 5490, 883, 519, 14960, 540, 891, 7239, 267, 741, 2418, 267, 2853, 267, 2591, 267, 543, 7418, 547, 4207, 27964, 269, 3414, 2502, 5717, 543, 2565, 2079, 267, 1053, 786, 2744, 4030, 883, 519, 1514, 6384, 5935, 519, 2729, 540, 12356, 1472, 519, 1158, 780, 2414, 2253, 938, 7634, 267, 1577, 721, 1101, 2263, 519, 1523, 540, 579, 7825, 1695, 1107, 519, 5001, 2146, 540, 12356, 3808, 1927, 676, 5132, 543, 3838, 4978, 269, 772, 7825, 1695, 25186, 3084, 10665, 267, 2870, 513, 2631, 540, 17604, 1851, 740, 6254, 338, 269, 1717, 267, 5103, 713, 9322, 267, 519, 5030, 2833, 540, 12356, 666, 8428, 3648, 4470, 593, 10923, 4087, 267, 14227, 4567, 267, 4008, 267, 14940, 267, 543, 824, 2188, 269, 9182, 267, 972, 6818, 1100, 1395, 18070, 7332, 3961, 282, 2864, 267, 2789, 9163, 30598, 543, 12969, 267, 8108, 7524, 2943, 1950, 19821, 923, 540, 4529, 543, 5389, 780, 3080, 1883, 2460, 12018, 519, 1646, 540, 3982, 7332, 9163, 568, 519, 2078, 1063, 4984, 543, 6214, 269, 25214, 267, 5771, 814, 1044, 1312, 513, 5289, 3391, 543, 513, 5943, 585, 10350, 269, 3509, 2413, 4182, 32145, 3136, 547, 20920, 609, 2055, 4478, 519, 1909, 540, 1744, 7559, 630, 26576, 545, 1876, 264, 538, 9086, 267, 3056, 547, 3309, 4093, 8151, 689, 16712, 6608, 547, 519, 7095, 20816, 269, 5047, 267, 930, 2477, 723, 4810, 13253, 16109, 689, 12721, 6811, 540, 3909, 6392, 543, 1533, 16285, 269, 1635, 6313, 2013, 2090, 971, 607, 9459, 781, 9099, 7169, 610, 18142, 17936, 781, 2189, 11100, 540, 654, 1695, 4725, 1143, 543, 6207, 21257, 267, 1053, 666, 5660, 519, 16082, 540, 891, 3347, 543, 2708, 741, 6286, 585, 1480, 2924, 267, 9111, 267, 543, 1514, 5126, 780, 5194, 1713, 10155, 18363, 7332, 2950, 568, 9194, 269, 1306, 2043, 882, 11229, 2066, 10665, 5275, 1732, 3255, 610, 7904, 4370, 4655, 267, 789, 3142, 2059, 741, 9821, 267, 4654, 267, 543, 23381, 338, 269, 3683, 942, 267, 891, 30226, 619, 2170, 609, 2199, 5095, 267, 5807, 3157, 540, 934, 738, 4851, 267, 21939, 267, 543, 4187, 269, 1452, 13341, 1419, 1267, 538, 3209, 7215, 540, 7332, 14039, 1214, 267, 3006, 4101, 2757, 8155, 1247, 8195, 556, 3530, 15256, 4295, 28975, 540, 519, 5132, 269, 1280, 3236, 267, 1382, 5342, 676, 5640, 971, 607, 918, 15811, 2398, 3430, 661, 9405, 630, 1220, 279, 264, 543, 24385, 807, 674, 611, 559, 630, 1001, 277, 264, 8711, 875, 1762, 3864, 12356, 6330, 30427, 5121, 543, 21907, 741, 9163, 9624, 12721, 12503, 689, 5354, 543, 12102, 2516, 780, 13010, 267, 2021, 781, 5107, 543, 2833, 13822, 1776, 4105, 1858, 540, 6514, 1369, 7332, 2950, 269, 6736, 1455, 20887, 827, 26568, 30013, 3889, 267, 1082, 7332, 2021, 8362, 7119, 538, 1857, 1272, 267, 2069, 267, 543, 20835, 269, 11048, 267, 10770, 13103, 2611, 7282, 1569, 547, 2200, 267, 6041, 267, 543, 3656, 20038, 1996, 7130, 543, 5208, 269, 1677, 9414, 713, 1448, 267, 2549, 2088, 654, 611, 644, 781, 14262, 960, 968, 304, 584, 685, 534, 543, 19716, 892, 630, 1960, 273, 264, 31886, 12496, 540, 10723, 5931, 1031, 547, 17854, 4008, 8635, 267, 26354, 9840, 593, 15594, 1200, 332, 2940, 583, 923, 543, 11121, 7766, 5481, 540, 15628, 543, 19174, 14957, 585, 4008, 7862, 1369, 9099, 8658, 780, 15563, 267, 621, 1131, 581, 1121, 1170, 711, 547, 2232, 519, 3390, 540, 5771, 22785, 1107, 14882, 267, 29383, 267, 610, 7130, 9859, 2509, 12356, 1759, 593, 741, 3909, 30901, 269, 27933, 3395, 4550, 5336, 639, 3916, 27742, 23185, 676, 2923, 11475, 267, 2484, 28878, 17069, 1143, 267, 543, 23786, 7526, 267, 7332, 18441, 3068, 2799, 22987, 267, 30886, 267, 543, 1256, 2168, 6285, 269, 18623, 899, 715, 8494, 320, 808, 4461, 1117, 630, 1001, 278, 1070, 11977, 4354, 26385, 10001, 630, 1001, 278, 1070, 543, 25595, 5682, 630, 1001, 276, 264, 20838, 519, 14849, 991, 547, 13720, 543, 24905, 548, 11528, 7496, 31328, 2942, 11994, 540, 12356, 267, 10771, 3079, 519, 2956, 540, 5188, 267, 6568, 267, 543, 8994, 2463, 780, 1103, 3932, 267, 4974, 519, 24205, 540, 7332, 18877, 3091, 3407, 4030, 883, 519, 15491, 2470, 540, 891, 7239, 543, 24259, 1769, 593, 10296, 2152, 7133, 6634, 540, 1004, 5001, 269, 1635, 3695, 3584, 971, 607, 579, 7825, 1695, 267, 4984, 1790, 29176, 1894, 267, 9194, 267, 4008, 6384, 267, 543, 5771, 22785, 267, 1053, 4497, 538, 5483, 7391, 827, 7332, 2729, 3564, 2283, 1049, 24657, 610, 5786, 626, 28402, 269, 11086, 267, 14237, 4656, 543, 1620, 8309, 547, 2679, 811, 8537, 267, 12581, 267, 543, 12560, 7239, 1141, 782, 2818, 666, 8853, 7488, 540, 741, 10080, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 12606, 898, 4860, 30055, 12059, 4139, 594, 322, 560, 10985, 595, 6759, 6113, 20899, 8050, 4728, 476, 2537, 476, 1839, 476, 1001, 272, 4860, 2213, 29120, 14430, 476, 1001, 273, 454, 12606, 898, 4860, 30055, 12059, 4139, 594, 322, 560, 10985, 595, 6759, 6113, 20899, 8050, 4728, 476, 2537, 476, 1839, 476, 1001, 272, 4860, 2213, 29120, 14430, 476, 1001, 273, 454, 19604, 10542, 568, 513, 2797, 4647, 621, 26201, 3791, 3486, 9079, 560, 10554, 524, 6759, 6113, 20899, 838, 664, 15292, 476, 2537, 476, 1839, 540, 6042, 585, 7799, 14591, 269, 898, 10238, 1080, 899, 596, 949, 581, 2348, 9479, 1964, 691, 532, 713, 11832, 269, 5834, 814, 2947, 1949, 540, 11006, 12370, 547, 2119, 519, 6502, 602, 519, 6609, 12370, 10555, 7040, 941, 538, 476, 4572, 271, 269, 1284, 616, 5872, 593, 713, 1576, 543, 606, 5989, 883, 1018, 1759, 563, 928, 539, 596, 4166, 513, 5626, 4647, 621, 26201, 3791, 3486, 9079, 560, 10554, 524, 6759, 6113, 20899, 838, 664, 15292, 286, 901, 15818, 814, 596, 547, 581, 513, 6259, 1507, 6917, 7154, 269, 7490, 2087, 856, 3638, 19700, 547, 581, 707, 27394, 15727, 5515, 4108, 607, 519, 22601, 538, 2657, 543, 3888, 518, 269, 1294, 707, 25328, 540, 8551, 538, 13067, 14657, 8232, 543, 17073, 5004, 17531, 521, 689, 12891, 325, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 1539, 1108, 540, 7332, 18877, 257, 607, 851, 540, 834, 24719, 13316, 1315, 9099, 5525, 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, 589, 1906, 3275, 3516, 267, 594, 729, 856, 593, 513, 30382, 538, 513, 7404, 2470, 15395, 950, 594, 11402, 1945, 8966, 910, 513, 13131, 269, 1306, 606, 23153, 1200, 7065, 6048, 630, 338, 333, 820, 27423, 1070, 594, 14059, 621, 15891, 13124, 267, 9599, 547, 2697, 519, 2249, 269, 1717, 267, 607, 594, 3893, 6251, 267, 519, 13131, 5761, 539, 693, 803, 267, 29855, 922, 4522, 883, 1250, 1850, 269, 898, 782, 5949, 865, 3728, 282, 594, 18923, 1185, 942, 547, 2746, 1354, 621, 1793, 527, 22363, 2476, 780, 4263, 1101, 267, 594, 4769, 1405, 1589, 1454, 540, 621, 2094, 594, 6785, 972, 941, 20027, 6095, 614, 15315, 1472, 519, 1858, 269, 1809, 4166, 1310, 267, 7920, 1928, 3323, 10825, 689, 1250, 1850, 909, 547, 1250, 17737, 267, 10483, 676, 4049, 15353, 269, 3733, 2295, 521, 1678, 607, 594, 7691, 602, 713, 1522, 2965, 581, 513, 9006, 10535, 13131, 11116, 269, 1703, 941, 7601, 21650, 538, 519, 3148, 1932, 267, 855, 594, 2760, 2219, 594, 1131, 2097, 2066, 835, 1282, 513, 2241, 12784, 30382, 780, 296, 7307, 547, 1289, 476, 26605, 1210, 1250, 1591, 7483, 267, 10503, 1250, 2589, 543, 4087, 607, 1655, 594, 1223, 1247, 3843, 547, 2611, 9350, 269, 1879, 1612, 3139, 923, 8452, 267, 789, 5612, 13950, 1884, 1508, 514, 543, 32357, 803, 547, 519, 6413, 269, 4438, 713, 32049, 1995, 267, 594, 7948, 1405, 3247, 3206, 827, 875, 1114, 513, 9006, 10535, 13131, 321, 924, 568, 3379, 547, 513, 1875, 268, 1597, 10535, 835, 1107, 3388, 689, 519, 3355, 8325, 1928, 547, 519, 4028, 11144, 540, 2589, 8604, 30642, 780, 2026, 594, 2482, 538, 519, 18317, 5127, 267, 554, 10541, 909, 547, 1585, 21697, 267, 594, 5433, 18507, 585, 1373, 9800, 855, 849, 14220, 693, 8885, 585, 2921, 971, 513, 1981, 269, 2991, 782, 267, 1169, 7320, 24158, 6487, 1732, 982, 547, 1205, 2673, 547, 3552, 2831, 1510, 1697, 1702, 543, 4027, 269, 3973, 3357, 519, 4729, 6335, 1100, 835, 26770, 950, 7231, 609, 2564, 18002, 899, 891, 281, 1813, 547, 606, 11891, 12161, 693, 519, 26849, 267, 789, 10443, 856, 540, 519, 1808, 1884, 1508, 514, 2877, 585, 8156, 7601, 3650, 17486, 2439, 299, 3089, 1176, 267, 1776, 6413, 1896, 5195, 2476, 1185, 2614, 3761, 267, 865, 789, 11231, 606, 14849, 4483, 269, 901, 2034, 851, 540, 519, 3460, 729, 8229, 2914, 571, 9535, 267, 6616, 602, 1142, 8429, 4090, 2799, 519, 8458, 540, 8628, 5160, 3441, 269, 30586, 267, 2390, 12625, 693, 519, 2034, 6413, 267, 7189, 16425, 13950, 519, 2953, 1884, 1508, 514, 267, 9494, 803, 689, 1761, 1279, 3856, 8374, 780, 8269, 22162, 593, 713, 15779, 2680, 1631, 267, 594, 993, 18056, 540, 1346, 1883, 3604, 1063, 9006, 10535, 543, 1875, 268, 1597, 10535, 13131, 321, 2572, 269, 2755, 1312, 2010, 949, 7620, 3100, 2147, 267, 519, 4539, 666, 4268, 20427, 269, 2859, 11932, 267, 1498, 267, 713, 10071, 6026, 803, 513, 3407, 3992, 827, 18245, 6302, 538, 2470, 543, 26724, 3106, 936, 7279, 269, 0, 2237, 513, 1650, 538, 519, 2511, 540, 1483, 3734, 3871, 602, 1004, 2671, 538, 15473, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 912, 2108, 27745, 596, 2491, 519, 3604, 1063, 513, 9006, 10535, 13131, 11116, 543, 513, 1875, 268, 1597, 10535, 13131, 11116, 888, 309, 523, 10535, 13131, 17486, 543, 1875, 268, 1597, 10535, 13131, 17486, 8428, 538, 1896, 2081, 1384, 272, 269, 10469, 10535, 15315, 7630, 29086, 883, 741, 10352, 610, 23246, 998, 741, 535, 836, 338, 269, 6348, 268, 1597, 10535, 15315, 798, 711, 723, 535, 836, 338, 267, 543, 741, 17486, 616, 3335, 3361, 676, 519, 4522, 538, 519, 1394, 540, 741, 5023, 780, 273, 269, 10469, 10535, 13131, 17486, 616, 2356, 811, 11213, 982, 1875, 268, 1597, 10535, 13131, 17486, 267, 543, 519, 1928, 11148, 547, 3262, 547, 824, 2694, 540, 519, 1560, 269, 6348, 268, 1597, 10535, 13131, 17486, 616, 3622, 1447, 11213, 543, 1152, 2014, 2199, 11926, 543, 25017, 780, 274, 269, 10469, 10535, 13131, 17486, 666, 2014, 3978, 1072, 2042, 267, 1519, 5160, 3441, 267, 11702, 267, 543, 1418, 5821, 269, 634, 29086, 540, 930, 2249, 666, 1256, 1291, 547, 2669, 269, 6348, 268, 1597, 10535, 13131, 17486, 616, 3622, 711, 5906, 543, 666, 581, 5701, 609, 2596, 1101, 5351, 2553, 780, 275, 269, 634, 5920, 540, 519, 11116, 7436, 666, 849, 948, 10646, 519, 1826, 540, 13131, 269, 10469, 10535, 15315, 3335, 4734, 1079, 14047, 675, 2261, 10640, 763, 1650, 2115, 547, 1331, 513, 8903, 543, 6397, 4729, 6335, 269, 2659, 2239, 1058, 13469, 609, 519, 13597, 543, 2123, 5905, 1336, 538, 8468, 5717, 269, 3417, 11541, 2621, 543, 3929, 3178, 563, 0, 4495, 2390, 513, 942, 267, 538, 513, 2244, 4904, 609, 7874, 2831, 267, 972, 5030, 513, 8049, 2370, 24564, 3957, 7665, 269, 7665, 6068, 3695, 1010, 26570, 1753, 543, 4730, 609, 1010, 2828, 269, 1809, 3006, 267, 7665, 4862, 6738, 5346, 22171, 6158, 827, 1919, 646, 4769, 1405, 1174, 267, 899, 834, 2908, 2081, 257, 543, 834, 1245, 2081, 1701, 1261, 4280, 1010, 3158, 1018, 1346, 1913, 5921, 267, 543, 1352, 5143, 1864, 513, 1650, 780, 1103, 519, 26570, 267, 972, 941, 1079, 2010, 540, 20397, 281, 5835, 3283, 543, 13711, 3283, 269, 2368, 22171, 1767, 519, 5835, 20397, 941, 519, 1655, 1317, 789, 941, 6505, 543, 2653, 547, 1294, 269, 11524, 1767 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2643, 1098, 701, 696, 573, 848, 734, 320, 1129, 540, 6797, 2068, 734, 1321, 3108, 1310, 2126, 538, 513, 3461, 609, 513, 1686, 540, 17537, 267, 513, 2013, 540, 12884, 10938, 4345, 267, 543, 513, 2013, 540, 7646, 32151, 26014, 2670, 2808, 1813, 547, 513, 7929, 3968, 563, 14085, 540, 519, 2550, 4951, 1022, 4191, 540, 22412, 730, 15601, 3968, 282, 519, 3644, 729, 9571, 538, 1175, 835, 19975, 3732, 543, 1079, 1973, 5439, 689, 835, 28105, 3461, 945, 4607, 519, 5207, 9570, 269, 834, 5978, 3119, 2832, 538, 713, 1353, 729, 547, 1449, 519, 3106, 540, 519, 3644, 2437, 7905, 918, 18779, 344, 1767, 269, 834, 2171, 941, 20938, 547, 1294, 602, 519, 3644, 1223, 581, 13950, 9108, 538, 519, 646, 31154, 16050, 1510, 1713, 2360, 593, 519, 3339, 6797, 1599, 269, 1284, 941, 849, 9599, 602, 9460, 288, 20214, 941, 2938, 538, 2550, 1310, 3644, 7245, 543, 1354, 6237, 3797, 4799, 3383, 2484, 267, 519, 2949, 11667, 6668, 942, 540, 519, 476, 1321, 2550, 568, 476, 2537, 3275, 609, 835, 3461, 1869, 9800, 693, 476, 1789, 3275, 2022, 3797, 269, 834, 4322, 2164, 616, 1360, 9621, 2437, 7905, 918, 18779, 344, 3081, 269, 834, 763, 11667, 6668, 942, 649, 4718, 1851, 938, 2550, 729, 2362, 982, 596, 1522, 2503, 1851, 713, 1895, 540, 2550, 269, 1717, 267, 782, 941, 5701, 609, 646, 31154, 27555, 3797, 543, 11528, 3797, 1310, 519, 3644, 3797, 4799, 763, 1985, 1900, 585, 519, 22602, 568, 547, 946, 2789, 13066, 540, 519, 3644, 2094, 972, 616, 840, 30570, 1239, 547, 5815, 602, 15601, 593, 3712, 344, 6776, 8290, 960, 1655, 950, 13950, 538, 2789, 13066, 563, 4467, 13586, 593, 519, 1867, 267, 7905, 17713, 11835, 778, 574, 5576, 332, 3326, 267, 540, 9410, 6441, 9801, 268, 26536, 28059, 670, 4150, 8862, 527, 1084, 6199, 538, 5125, 267, 7074, 602, 1327, 648, 326, 1308, 18068, 568, 606, 5140, 1935, 585, 12419, 3742, 5061, 538, 22037, 1738, 897, 28030, 2860, 609, 6797, 22037, 1162, 269, 834, 763, 3498, 540, 519, 6084, 7595, 10537, 3644, 676, 519, 27555, 8905, 1223, 581, 540, 1164, 1719, 2094, 2362, 10194, 4452, 786, 581, 9447, 547, 519, 6797, 22037, 1162, 2437, 646, 1767, 563, 257, 4322, 2164, 2099, 519, 1101, 942, 602, 606, 4550, 2389, 32214, 3210, 814, 1044, 2938, 1310, 12499, 268, 6621, 658, 610, 11528, 3498, 540, 513, 10510, 11318, 3644, 2580, 646, 3773, 269, 834, 11997, 267, 519, 1353, 568, 3810, 4277, 543, 9621, 538, 2474, 540, 4758, 519, 4493, 585, 2417, 8062, 609, 4719, 21524, 1881, 6084, 7595, 10537, 10194, 21437, 4799, 294, 15869, 3405, 773, 645, 3740, 2993, 1923, 31823, 2336, 763, 1034, 2487, 2046, 13847, 827, 5647, 21188, 454, 291, 773, 1577, 345, 1084, 476, 276, 10312, 268, 21158, 964, 10124, 3146, 7964, 708, 3331, 506, 828, 321, 5585, 912, 6124, 1967, 585, 23951, 560, 11961, 21575, 538, 4974, 519, 7061, 12511, 454, 2304, 1271, 1900, 2509, 513, 4625, 1007, 8097, 1569, 547, 7061, 6323, 814, 1044, 1500, 693, 2160, 540, 23951, 560, 11961, 269, 634, 2319, 540, 3744, 18188, 676, 2483, 295, 313, 296, 3173, 21264, 3968, 6127, 540, 962, 619, 27091, 543, 4761, 6114, 540, 519, 3984, 454, 312, 619, 514, 23706, 2014, 4049, 15499, 5563, 269, 5525, 1210, 962, 619, 27091, 15554, 582, 21310, 17533, 607, 513, 2203, 11248, 2832, 547, 30881, 519, 3968, 6127, 540, 891, 2483, 12867, 689, 519, 2160, 540, 31297, 538, 5125, 267, 538, 5698, 609, 9164, 689, 519, 2160, 540, 589, 541, 327, 639, 538, 16862, 267, 723, 24704, 513, 1007, 21367, 532, 1570, 676, 3395, 513, 1906, 6106, 540, 606, 1884, 11717, 11424, 5912, 2173, 13926, 669, 531, 322, 4094, 728, 593, 513, 536, 1143, 3578, 2861, 30490, 1202, 15975, 267, 1312, 1373, 1875, 1606, 10967, 17238, 532, 2326, 563, 4407, 21367, 2032, 543, 11275, 1143, 616, 3622, 5156, 547, 581, 20102, 12600, 267, 19599, 267, 538, 713, 1007, 1570, 267, 21367, 532, 21374, 2483, 299, 6471, 28391, 540, 5033, 22015, 1023, 2636, 2870, 3209, 844, 553, 760, 14835, 2829, 1369, 27772, 2339, 1949, 543, 15175, 1063, 1114, 2829, 593, 16600, 9724, 942, 10253, 454, 6597, 3539, 3601, 540, 4909, 5536, 538, 27772, 2339, 1949, 568, 513, 9621, 1935, 547, 7061, 2361, 3069, 269, 2372, 553, 760, 14895, 2709, 519, 4316, 2483, 16449, 519, 2489, 1857, 267, 3859, 8143, 1648, 568, 4867, 2404, 609, 4158, 4544, 267, 14328, 19216, 593, 2679, 22908, 269, 16370, 616, 2877, 585, 8353, 24312, 1164, 2298, 6189, 799, 2709, 519, 4056, 811, 4055, 585, 812, 4141, 12320, 516, 950, 621, 2501, 547, 1970, 268, 543, 7132, 20589, 5656, 269, 2060, 519, 968, 6635, 298, 565, 892, 1788, 267, 3173, 693, 29163, 4959, 292, 1927, 609, 4891, 616, 4867, 3384, 1079, 3655, 9809, 1228, 19216, 585, 3859, 8143, 1648, 5108, 267, 799, 11863, 513, 1164, 4110, 540, 1374, 8112, 281, 513, 14816, 21689, 585, 32630, 3655, 9809, 1228, 6810, 543, 513, 3859, 8143, 9420, 585, 12001, 6810, 269, 634, 1699, 1533, 540, 519, 1079, 7835, 786, 581, 4843, 693, 519, 22601, 308, 476, 1001, 278, 4123, 4023, 563, 2026, 851, 540, 519, 968, 6635, 298, 565, 1107, 1646, 540, 4056, 12147, 3810, 7471, 3655, 9809, 1228, 19216, 609, 3002, 12992, 892, 1788, 267, 29163, 4959, 292, 1927, 609, 922, 4891, 1862, 0, 7617, 15608, 5795, 1010, 2012, 547, 2048, 16435, 641, 6853, 3675, 525, 685, 286, 1284, 1413, 693, 2947, 4277, 32409, 543, 741, 30827, 8129, 563, 288, 4266, 6825, 593, 513, 829, 27720, 1587, 267, 2523, 513, 1426, 560, 4428, 267, 10834, 519, 5227, 4266, 676, 799, 621, 1058, 581, 1031, 610, 10057, 281, 8072, 13765, 519, 946, 8386, 4266, 593, 519, 17142, 20371, 268, 2048, 763, 5480, 729, 5143, 602, 930, 540, 519, 1426, 729, 909, 547, 476, 5379, 2395, 2250, 922, 946, 8386, 4266, 19028, 268, 2048, 2691, 10918, 585, 9126, 3022, 25235, 267, 3314, 547, 5402, 2638, 519, 946, 8386, 4266, 543, 1413, 585, 4191, 540, 27253, 720, 19028, 268, 2048, 306, 1622, 12064, 781, 1767, 281, 2048, 5472, 946, 8386, 7389, 4294, 547, 938, 1378, 6216, 2472, 616, 1305, 676, 590, 1622, 12064, 781, 1426, 3106, 4966, 547, 2327, 519, 1587, 568, 1312, 2922, 543, 540, 519, 1655, 2298, 10200, 20371, 268, 2048, 763, 13056, 3306, 732, 10325, 538, 3162, 600, 17980, 11392, 476, 2918, 267, 1822, 911, 903, 540, 1426, 2250, 519, 6133, 8386, 4266, 855, 1369, 519, 946, 8386, 4266, 24603, 676, 2706, 5658, 1115, 1142, 1032, 19028, 268, 2048, 288, 5449, 6300, 24010, 814, 1044, 535, 1441, 585, 2348, 829, 27720, 1426, 593, 9042, 2250, 922, 946, 8386, 4266, 19028, 268, 2048, 763, 1426, 2872, 568, 2141, 3168, 585, 1007, 2081, 547, 7903, 1394, 741, 2472, 262, 946, 8386, 7389, 19028, 268, 2048, 8196, 8386, 7389, 616, 1031, 585, 1426, 560, 32332, 602, 723, 513, 2110, 15808, 1272, 543, 799, 267, 689, 513, 18117, 1670, 1448, 540, 2070, 267, 616, 2693, 547, 581, 5739, 547, 1072, 952, 10057, 1310, 519, 946, 8386, 4266, 19028, 268, 2048, 4322, 7389, 910, 3226, 519, 946, 8386, 7389, 910, 616, 1271, 19028, 268, 2048, 13425, 946, 8386, 7389, 593, 11183, 543, 2628, 1880, 3007, 547, 829, 27720, 3536, 267, 971, 607, 12511, 14095, 28655, 13687, 610, 8423, 543, 10683, 2472, 19028, 268, 2048, 303, 710, 10808, 666, 6385, 1831, 678, 4545, 573, 1813, 547, 741, 1164, 3282, 1543, 267, 865, 4444, 1152, 1507, 5666, 543, 2141, 2638, 519, 946, 8386, 4266, 19028, 2171, 1491, 513, 1413, 693, 1896, 2442, 267, 1498, 14845, 267, 18685, 7436, 563, 5804, 15787, 547, 25472, 267, 3605, 9670, 543, 10578, 1893, 5013, 689, 1472, 519, 8608, 563, 763, 8847, 540, 2048, 321, 28854, 685, 543, 2048, 15842, 685, 538, 519, 744, 3633, 723, 5063, 1044, 15428, 269, 1284, 2263, 741, 1686, 543, 2333, 538, 8560, 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 ]
[ 9176, 267, 543, 1317, 1100, 796, 3405, 3072, 812, 3357, 4464, 267, 789, 7157, 10924, 513, 9310, 835, 729, 3238, 269, 634, 4884, 5156, 1200, 10751, 1058, 581, 547, 5957, 519, 4484, 589, 607, 513, 1129, 540, 1200, 5609, 267, 799, 1500, 1200, 606, 856, 4751, 538, 513, 2486, 602, 929, 3660, 3294, 593, 29077, 634, 25243, 4484, 5956, 607, 513, 3090, 585, 2937, 816, 282, 621, 568, 5921, 547, 581, 513, 3090, 540, 17847, 269, 634, 25243, 4484, 519, 4295, 540, 519, 1650, 1899, 25856, 1472, 513, 3350, 1634, 607, 519, 8830, 11939, 269, 634, 8830, 11939, 3350, 3459, 950, 3751, 8361, 10294, 4789, 1412, 338, 7115, 689, 519, 5783, 540, 7507, 543, 646, 12912, 5128, 2212, 540, 519, 1007, 5783, 540, 4789, 563, 763, 1292, 1915, 540, 634, 14265, 24862, 267, 3627, 1160, 2758, 568, 2576, 945, 19299, 782, 519, 13766, 7592, 602, 19665, 513, 13249, 5869, 269, 3502, 1152, 568, 1010, 31774, 538, 519, 1433, 15748, 676, 1010, 1480, 16950, 267, 855, 646, 849, 19306, 519, 29059, 689, 519, 3988, 269, 4634, 1498, 3627, 1160, 2758, 779, 15752, 616, 1434, 543, 5168, 995, 998, 856, 519, 1433, 267, 538, 519, 4098, 649, 3605, 602, 646, 814, 513, 1713, 5728, 269, 1261, 568, 16944, 540, 22867, 519, 5609, 540, 13277, 6670, 609, 1010, 1762, 22700, 267, 2806, 580, 841, 13879, 269, 3571, 7210, 7385, 10906, 4121, 540, 1010, 1102, 23474, 543, 8483, 1511, 1864, 267, 855, 2806, 580, 841, 729, 538, 2648, 609, 3627, 543, 13290, 547, 6146, 10906, 676, 2502, 538, 31783, 609, 513, 1906, 824, 6690, 538, 30561, 563, 2691, 649, 1832, 11580, 649, 849, 1832, 16203, 543, 16203, 786, 6861, 721, 689, 519, 3330, 269, 769, 519, 1433, 540, 25243, 4484, 676, 26637, 1408, 8316, 25079, 543, 875, 835, 4807, 945, 8149, 13277, 6670, 609, 513, 1915, 3957, 3897, 6996, 23014, 945, 568, 519, 4884, 26060, 269, 17435, 6996, 23014, 6854, 11580, 547, 4509, 1010, 10639, 855, 3527, 519, 16203, 22655, 1864, 689, 519, 3330, 269, 17435, 6996, 23014, 519, 4884, 26060, 585, 519, 1625, 11939, 4984, 269, 1261, 862, 1080, 13277, 6670, 609, 670, 6856, 543, 814, 513, 1126, 267, 855, 3079, 540, 6849, 1010, 5609, 646, 8952, 3330, 585, 1100, 835, 547, 917, 563, 810, 267, 1373, 547, 10800, 731, 823, 547, 16153, 1010, 5609, 646, 5309, 8460, 1010, 1582, 998, 1582, 3620, 1301, 269, 1809, 1010, 7004, 2141, 4523, 693, 519, 21934, 1245, 269, 17435, 6996, 23014, 5956, 547, 19439, 5128, 676, 627, 6235, 5128, 267, 782, 3781, 543, 1281, 711, 1205, 1454, 3207, 693, 3781, 269, 1261, 849, 1178, 2125, 1010, 9221, 538, 513, 1259, 19595, 23421, 540, 1200, 11299, 25243, 4484, 589, 269, 693, 713, 1448, 538, 519, 1650, 932, 3739, 10290, 814, 0, 24336, 1265, 9998, 1634, 28112, 2335, 13239, 454, 24336, 3744, 6785, 789, 1185, 1336, 1945, 789, 22821, 1405, 2938, 1354, 267, 855, 789, 14201, 1405, 2386, 1018, 621, 729, 563, 5445, 1151, 545, 1243, 948, 689, 513, 8419, 12779, 11893, 6048, 547, 1265, 1141, 713, 1007, 2249, 3514, 883, 519, 21300, 1920, 563, 12867, 941, 14281, 547, 1265, 519, 476, 1015, 20356, 17489, 13442, 568, 513, 11397, 23013, 540, 3345, 3013, 781, 570, 10455, 2335, 28683, 556, 343, 563, 8601, 20258, 3604, 543, 1152, 11029, 10486, 267, 8419, 3557, 2160, 12779, 11893, 6048, 27068, 661, 9581, 517, 1767, 519, 21300, 3957, 2871, 534, 14075, 530, 1075, 2967, 328, 267, 799, 1797, 834, 322, 27547, 15743, 2947, 4778, 267, 568, 513, 4759, 540, 519, 28112, 2335, 14795, 543, 519, 9510, 28112, 2335, 657, 879, 5514, 8093, 1336, 563, 763, 6602, 540, 519, 21300, 568, 4330, 538, 513, 2487, 3390, 540, 519, 4760, 7186, 676, 661, 9581, 517, 543, 3670, 824, 3744, 689, 3624, 267, 4516, 543, 519, 2136, 2276, 563, 763, 1007, 21300, 5026, 513, 1166, 553, 1506, 30160, 593, 1283, 540, 922, 1507, 2212, 547, 4482, 3007, 267, 2523, 689, 519, 6587, 3023, 269, 898, 568, 519, 1101, 971, 15022, 3512, 1336, 593, 513, 28112, 2335, 13239, 563, 24679, 781, 711, 1152, 519, 9510, 28112, 2335, 13239, 855, 849, 519, 3023, 5006, 267, 661, 9581, 517, 5206, 563, 292, 9581, 517, 1767, 519, 2871, 534, 14075, 530, 1075, 2967, 328, 814, 28112, 2335, 13239, 2934, 971, 607, 1279, 25637, 267, 772, 8032, 4522, 543, 513, 535, 4310, 17725, 8115, 267, 855, 621, 15320, 689, 570, 269, 556, 343, 609, 922, 1614, 11263, 267, 3079, 540, 1079, 267, 543, 3152, 22231, 982, 519, 834, 8364, 2275, 337, 5241, 267, 1964, 4055, 268, 686, 6137, 20599, 540, 30083, 26226, 5244, 262, 7260, 21239, 563, 29128, 1631, 267, 28112, 2335, 14795, 971, 607, 570, 269, 556, 343, 941, 1655, 1634, 607, 7068, 540, 519, 31350, 17675, 11270, 267, 799, 8694, 827, 476, 4792, 2929, 1296, 3516, 269, 661, 9581, 517, 1767, 519, 1007, 267, 5176, 2347, 7729, 30416, 689, 3624, 2709, 513, 25135, 14653, 540, 519, 9998, 28112, 2335, 657, 879, 5514, 1175, 1310, 621, 2849, 335, 1117, 883, 513, 1114, 7936, 540, 519, 1920, 3529, 827, 476, 4817, 2929, 1296, 1354, 23013, 570, 269, 556, 343, 12199, 563, 12867, 1767, 4466, 519, 9510, 28112, 2335, 657, 879, 5514, 786, 948, 873, 1451, 811, 827, 519, 2038, 4720, 543, 10923, 3892, 540, 922, 11937, 267, 799, 941, 1507, 6623, 617, 17878, 1634, 607, 1071, 601, 1755, 21542, 2720, 602, 941, 14077, 540, 2413, 5017, 563, 19425, 633, 9517, 281, 476, 4968, 7785, 277, 0, 288, 2564, 4274, 814, 8612, 602, 17289, 786, 4166, 3068, 513, 10006, 538, 5046, 268, 866, 5563, 267, 855, 3081, 646, 11099, 519, 744, 32342, 11452, 14583, 786, 1020, 883, 513, 2661, 6669, 602, 2488, 12046, 1510, 519, 991, 585, 26259, 15833, 563, 7804, 2494, 3019, 2274, 3663, 1177, 1263, 342, 29330, 267, 513, 17422, 2068, 4274, 693, 966, 747, 2967, 344, 583, 11233, 267, 5063, 11540, 606, 9337, 593, 590, 10064, 2923, 7713, 602, 519, 8003, 786, 3068, 513, 1007, 5951, 540, 5563, 602, 1223, 581, 519, 4102, 538, 1079, 1296, 269, 1261, 3773, 602, 3232, 2665, 1223, 1297, 538, 519, 9937, 540, 5215, 267, 855, 15695, 519, 1857, 711, 547, 581, 1932, 14126, 827, 519, 7872, 563, 6097, 547, 3220, 2494, 3019, 267, 519, 744, 32342, 14583, 814, 7960, 689, 922, 21530, 25600, 547, 581, 1732, 9862, 547, 519, 1480, 1560, 269, 25408, 267, 621, 814, 513, 4389, 29164, 942, 585, 5488, 6771, 1247, 849, 512, 2056, 547, 2014, 7646, 518, 2589, 28330, 547, 519, 1455, 4411, 610, 2770, 563, 763, 1007, 14583, 568, 2219, 547, 581, 9687, 2059, 519, 3515, 540, 824, 1634, 11452, 12490, 267, 971, 607, 1346, 602, 2014, 519, 1455, 4411, 538, 1453, 269, 1452, 12490, 616, 10355, 1336, 538, 4079, 607, 1034, 1004, 1020, 12046, 1310, 24931, 891, 8290, 607, 1453, 563, 7804, 2494, 3019, 11099, 519, 744, 32342, 8833, 786, 5555, 3468, 3025, 267, 2436, 789, 723, 1044, 18764, 610, 711, 267, 4929, 3003, 5095, 547, 3035, 23636, 12046, 269, 1261, 5267, 602, 519, 14583, 786, 7500, 607, 513, 2661, 22887, 18050, 6669, 267, 12419, 6793, 12046, 14242, 982, 4540, 5046, 10074, 563, 763, 4274, 7074, 607, 1134, 602, 519, 19773, 585, 6669, 9755, 949, 711, 581, 607, 6505, 2469, 4464, 607, 513, 12343, 540, 713, 7678, 269, 630, 13585, 307, 264, 0, 294, 14792, 632, 3288, 29110, 4958, 974, 781, 6794, 630, 294, 4811, 264, 568, 513, 5778, 17595, 12278, 4524, 609, 513, 6689, 12614, 543, 568, 6353, 676, 5179, 543, 13047, 512, 923, 269, 17823, 1399, 32732, 2550, 609, 717, 4811, 941, 11117, 1282, 513, 1974, 540, 1614, 1296, 269, 774, 8812, 29350, 2550, 941, 5256, 543, 8938, 1079, 4775, 267, 609, 606, 2085, 2039, 540, 476, 278, 547, 476, 7906, 1296, 630, 11743, 476, 736, 269, 3451, 1296, 1040, 634, 5256, 547, 4775, 5223, 729, 476, 272, 269, 277, 281, 272, 269, 634, 2085, 540, 12614, 24132, 689, 476, 274, 547, 476, 1428, 1296, 630, 11743, 476, 278, 269, 10037, 1296, 1040, 1530, 1203, 344, 8370, 2600, 540, 519, 2550, 4843, 5179, 512, 923, 607, 519, 3355, 10835, 540, 519, 2068, 269, 769, 2474, 540, 1950, 512, 923, 267, 2941, 1503, 26515, 729, 1459, 538, 476, 2767, 269, 277, 260, 540, 519, 2550, 282, 2941, 1886, 571, 19333, 538, 476, 736, 269, 272, 260, 282, 5493, 559, 26515, 538, 476, 736, 269, 272, 260, 282, 3235, 565, 26515, 538, 476, 2767, 269, 277, 260, 282, 543, 3235, 641, 571, 19333, 538, 476, 2767, 267, 277, 10065, 23105, 19183, 267, 971, 607, 3007, 17211, 267, 30759, 4524, 543, 30442, 16327, 14601, 4524, 941, 1459, 538, 476, 1839, 269, 279, 260, 543, 476, 4375, 269, 277, 9077, 6606, 269, 11576, 800, 9259, 941, 1459, 538, 476, 7918, 269, 279, 260, 540, 519, 2550, 563, 294, 14792, 632, 3288, 29110, 4958, 974, 781, 6794, 282, 512, 923 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1142, 824, 910, 513, 4480, 1572, 1583, 2747, 269, 769, 713, 1259, 1804, 2531, 539, 9723, 2125, 1634, 607, 555, 565, 657, 610, 581, 12317, 633, 9723, 2125, 538, 10255, 941, 2219, 547, 2392, 622, 2147, 3889, 538, 519, 13677, 6816, 540, 8575, 525, 6011, 324, 269, 901, 6462, 519, 2856, 602, 519, 8106, 10600, 540, 10255, 543, 7507, 941, 693, 519, 8998, 540, 782, 10124, 563, 5278, 540, 519, 1101, 28650, 7389, 3812, 4951, 602, 519, 13677, 9723, 2125, 941, 5215, 540, 1296, 4587, 982, 1346, 538, 10255, 269, 634, 3046, 321, 12579, 540, 519, 5087, 941, 5827, 540, 8888, 1950, 3889, 2147, 547, 1346, 538, 519, 8106, 1158, 563, 8448, 1164, 9043, 3785, 1331, 519, 6580, 540, 519, 5695, 514, 1744, 9613, 547, 519, 10120, 1974, 267, 519, 6580, 540, 519, 16458, 7256, 2480, 2651, 338, 547, 1472, 519, 942, 540, 2441, 267, 543, 519, 10169, 11786, 6580, 540, 519, 20498, 4224, 1148, 693, 932, 879, 23439, 29190, 547, 524, 269, 30521, 22932, 6580, 814, 849, 1044, 1031, 547, 4266, 519, 14486, 540, 519, 15144, 569, 7882, 1054, 543, 8329, 547, 519, 7521, 936, 2436, 2413, 3425, 543, 3026, 6387, 628, 1023, 1558, 269, 1809, 476, 1691, 595, 568, 711, 1175, 1031, 538, 6580, 563, 8794, 519, 1482, 2553, 547, 2268, 476, 1691, 595, 1543, 267, 649, 666, 4983, 5836, 10009, 543, 10250, 519, 3350, 540, 5061, 1472, 519, 1560, 269, 2060, 741, 3395, 8560, 267, 621, 568, 1152, 2067, 602, 789, 11457, 883, 23695, 547, 811, 13395, 2950, 269, 13689, 593, 707, 4638, 10066, 267, 707, 4984, 543, 1256, 707, 2085, 596, 666, 1265, 513, 3135, 602, 1568, 585, 596, 269, 1656, 585, 1346, 945, 1745, 3226, 2178, 827, 8192, 7375, 610, 11477, 23258, 267, 972, 616, 4609, 585, 596, 1932, 2336, 8256, 10179, 13786, 525, 547, 5149, 623, 878, 532, 267, 7046, 25441, 267, 543, 715, 22021, 6997, 9934, 676, 3933, 19172, 8834, 17054, 2006, 454, 2414, 948, 596, 2253, 519, 3406, 585, 707, 9997, 22940, 267, 649, 21503, 519, 1034, 16048, 267, 543, 10272, 6580, 4609, 602, 4481, 8597, 547, 1426, 18798, 865, 596, 666, 1376, 8840, 3694, 609, 513, 1761, 7649, 269, 1284, 5697, 938, 1592, 1759, 2390, 741, 9029, 547, 4890, 1426, 18798, 267, 519, 8897, 540, 4259, 909, 543, 1210, 606, 2272, 543, 2436, 519, 4609, 941, 2139, 585, 1863, 610, 693, 1942, 269, 1284, 3576, 883, 7156, 741, 1514, 1739, 543, 519, 2702, 547, 3077, 519, 1808, 10066, 2115, 540, 513, 546, 831, 543, 19486, 873, 9935, 563, 3080, 2101, 13337, 538, 5176, 782, 540, 519, 4609, 593, 938, 1592, 8604, 547, 581, 602, 789, 524, 23926, 547, 10636, 18400, 3347, 269, 3245, 519, 29879, 25441, 11833, 547, 3794, 9790, 5131, 7327, 956, 267, 972, 568, 513, 3135, 585, 1169, 1826, 540, 1426, 24158, 3168, 585, 513, 2370, 15832, 538, 741, 1378, 10051, 256, 0, 300, 1122, 534, 1684, 615, 1399, 267, 14502, 28154, 543, 6226, 328, 294, 20071, 345, 8048, 267, 9786, 4516, 454, 14881, 1810, 1406, 1589, 1352, 779, 4712, 585, 602, 2223, 513, 2385, 1767, 547, 803, 607, 1200, 8250, 11074, 8757, 585, 519, 15472, 8773, 649, 1185, 593, 4159, 269, 2311, 519, 942, 267, 594, 729, 9306, 5752, 11925, 585, 3214, 693, 606, 10026, 1153, 2257, 4023, 269, 901, 2385, 3357, 909, 547, 938, 3349, 609, 741, 1079, 3214, 12544, 5067, 543, 513, 8250, 269, 634, 5067, 1223, 1416, 1447, 827, 519, 19025, 267, 11608, 543, 15283, 3756, 649, 1185, 1305, 909, 267, 855, 519, 8250, 6603, 585, 519, 8773, 609, 10761, 563, 296, 4280, 267, 968, 2710, 596, 1616, 547, 1628, 11608, 18313, 2108, 312, 2464, 17373, 1352, 1767, 563, 3412, 9712, 2299, 19952, 267, 1352, 4862, 1200, 1101, 968, 5591, 892, 543, 1200, 1101, 968, 2791, 5749, 1406, 5827, 2614, 3034, 2026, 513, 1099, 6048, 543, 13730, 19829, 267, 594, 6170, 1614, 1296, 3384, 7463, 2780, 2257, 6030, 585, 3214, 267, 3450, 3388, 689, 14318, 547, 3381, 3014, 1374, 269, 901, 3323, 676, 3450, 17562, 547, 5216, 547, 476, 1556, 4458, 6040, 6690, 269, 1306, 513, 1762, 4807, 267, 2469, 998, 1250, 1378, 9620, 3478, 513, 4110, 538, 3301, 4702, 267, 594, 4718, 513, 2603, 540, 19320, 538, 519, 1259, 519, 6690, 5433, 21616, 950, 3843, 547, 1451, 5752, 269, 5080, 21215, 256, 898, 7012, 1406, 519, 4890, 2035, 2933, 267, 855, 519, 1582, 8969, 543, 4250, 540, 5821, 8066, 873, 1394, 563, 296, 4682, 593, 547, 4001, 519, 1482, 1362, 585, 8695, 540, 519, 1482, 2085, 269, 901, 4250, 540, 5821, 543, 1582, 8969, 729, 24076, 547, 581, 2938, 269, 1358, 1185, 1100, 4250, 267, 741, 3009, 729, 678, 1342, 1194, 609, 6959, 267, 789, 8359, 547, 1175, 1711, 269, 594, 3459, 547, 8275, 602, 649, 616, 3257, 938, 6690, 519, 21440, 540, 711, 4758, 873, 519, 4055, 547, 581, 13943, 267, 547, 3111, 543, 581, 30255, 269, 1452, 1883, 7592, 616, 519, 3490, 540, 4702, 543, 2780, 2257, 282, 596, 991, 547, 581, 6899, 609, 1818, 9073, 267, 609, 1175, 3843, 593, 519, 4155, 547, 3384, 1966, 9010, 1983, 563, 21930, 6690, 616, 13085, 9858, 543, 8030, 267, 543, 5310, 649, 5749, 1406, 4758, 873, 519, 2407, 2702, 547, 1294, 621, 269, 1879, 3450, 1250, 1362, 540, 1762, 6690, 267, 594, 5795, 873, 513, 1374, 3561, 547, 1711, 519, 23877, 267, 2328, 856, 519, 5752, 7954, 543, 1711, 513, 1544, 547, 14892, 741, 2093, 269, 14348, 596, 3494, 621, 952, 594, 5143, 596, 602, 519, 6690, 685, 11608, 1185, 1447, 12961, 543, 941, 8737, 1454, 4505, 982, 519, 1159, 1662, 7146, 3766, 4599, 1935, 519, 8695, 1185, 286, 4495, 594, 5143, 519, 6690, 789, 1185, 3388, 789, 2877, 547, 3035, 1967, 267, 543, 602, 5821, 729, 2556, 547, 581, 3811, 267, 789, 941, 13417, 31463, 762, 563, 13014, 1100, 12161, 32503, 978, 6690, 666, 723, 606, 1719, 538, 13241, 267, 543, 789, 798, 256, 1656, 945, 616, 649, 547, 3180, 873, 1394, 610, 2995, 873, 789, 616, 711, 5827, 2614, 286, 8479, 6690, 798, 1616, 547, 1628, 11608, 267, 1711, 3381, 3756, 543, 581, 3860, 269, 1656, 789, 616, 2731, 1434, 693, 621, 269, 25994, 540, 8969, 1332, 607, 789, 2085, 1765, 16341, 616, 2907, 2921, 2933, 856, 540, 891, 3255, 610, 4947, 538, 3735, 543, 4743, 4503, 11652, 649, 991, 873, 547, 581, 4250, 1652, 2336, 2026, 3237, 543, 7855, 267, 875, 798, 649, 6370, 543, 8396, 891, 6386, 2038, 593, 888, 268, 3629, 3160, 3255, 269, 1684, 711, 8263, 602, 513, 17562, 1362, 786, 1152, 1719, 8695, 269, 1879, 513, 8004, 6368, 3268, 883, 519, 4928, 267, 1352, 949, 2760, 1294, 2576, 945, 5654, 899, 9887, 1317, 3025, 1500, 519, 25031, 13429, 1991, 563, 268, 8866, 616, 13085, 269, 1358, 723, 1100, 4250, 2394, 596, 2995, 873, 972, 568, 1945, 547, 4250, 267, 865, 581, 4250, 1652, 707, 2383, 267, 3237, 2336, 268, 23830, 6927, 269, 3367, 2835, 543, 2911, 827, 2021, 945, 723, 12913, 3579, 2930, 905, 1846, 2336, 296, 8959, 547, 1294, 8885, 607, 513, 4807, 538, 10509, 267, 855, 621, 729, 538, 3450, 891, 1762, 6690, 543, 8384, 873, 3398, 5821, 602, 594, 4718, 8885, 543, 519, 2242, 649, 666, 1118, 267, 1927, 267, 602, 4547, 803, 1934, 269, 594, 666, 1406, 7227, 547, 1294, 1018, 707, 20766, 798, 538, 741, 4610, 538, 519, 2104, 256, 0, 6826, 8326, 5937, 337, 1508, 4886, 630, 9720, 291, 264, 568, 606, 3397, 850, 1935, 602, 30012, 10421, 11018, 267, 12319, 543, 10343, 4152, 269, 634, 2856, 568, 602, 596, 1376, 676, 1603, 1480, 22345, 762, 5220, 602, 4766, 513, 4183, 540, 707, 3498, 543, 875, 621, 1058, 960, 269, 3973, 596, 2936, 713, 2623, 538, 3301, 269, 901, 6609, 666, 3132, 12747, 4255, 602, 786, 13182, 602, 519, 4183, 568, 8045, 7157, 269, 2201, 519, 4152, 2427, 267, 645, 24884, 2645, 1683, 596, 519, 2934, 547, 1685, 6198, 610, 10343, 4255, 269, 1703, 616, 1082, 2645, 602, 2936, 519, 645, 24884, 1523, 585, 1114, 4654, 267, 1519, 23285, 563, 25413, 2264, 13281, 13088, 281, 5149, 13281, 13088, 267, 23398, 13281, 13088, 267, 20509, 13281, 13088, 267, 13437, 13281, 13088, 267, 3397, 850, 13281, 13088, 267, 8061, 302, 1186, 454, 6826, 8326, 5937, 337, 1508, 4886, 630, 9720, 291, 264, 568, 606, 3397, 850, 1935, 602, 30012, 10421, 11018, 267, 12319, 543, 10343, 4152, 269, 1411, 2328, 1480, 22345, 762, 5220, 10503, 519, 2934, 540, 707, 3498, 543, 875, 789, 1058, 960, 269, 3973, 596, 2936, 713, 2623, 1210, 513, 1907, 602, 7472, 12747, 10343, 4255, 547, 13182, 602, 519, 4183, 568, 8045, 7157, 269, 7046, 2707, 1547, 25892, 645, 24884, 2645, 899, 10410, 23044, 616, 1031, 547, 4558, 519, 4170, 607, 2661, 12319, 543, 547, 1685, 6198, 610, 10343, 4255, 563, 10214, 952, 8837, 1522, 581, 519, 1034, 1031, 5665, 1062, 538, 3301, 1646, 3906, 267, 621, 3085, 1406, 1611, 602, 596, 3112, 946, 513, 2780, 2324, 609, 5839, 13013, 547, 1685, 6198, 4152, 269, 901, 2376, 2488, 513, 1592, 540, 1930, 2707, 6198, 4152, 2645, 602, 960, 593, 5839, 13013, 563, 11854, 322, 23044, 568, 606, 1930, 2707, 10263, 5937, 337, 1508, 4886, 630, 9720, 291, 264, 1907, 585, 1547, 25892, 269, 10410, 23044, 3096, 519, 4013, 717, 615, 7219, 16163, 518, 543, 7028, 519, 1547, 25892, 5943, 267, 2473, 600, 18288, 543, 3933, 334, 269, 1411, 666, 946, 10410, 23044, 547, 5581, 267, 4383, 543, 8850, 14892, 1480, 22345, 762, 10343, 4255, 538, 1547, 25892, 3785, 269, 5675, 3362, 24669, 4255, 568, 513, 22294, 540, 519, 645, 24884, 17565, 543, 849, 2337, 1628, 909, 513, 2713, 12319, 540, 707, 1062, 269, 16653, 19664, 990, 814, 2813, 513, 3126, 540, 4930, 6131, 547, 10410, 6503, 602, 6238, 609, 606, 4367, 5850, 563, 763, 4112, 528, 2218, 13281, 24904, 22362, 568, 513, 1863, 543, 1930, 2707, 10137, 585, 519, 24904, 11422, 602, 568, 2966, 547, 1118, 30405, 4152, 540, 1357, 4609, 4443, 269, 901, 10137, 786, 1450, 596, 547, 1491, 4967, 1282, 707, 30405, 4152, 7886, 609, 513, 8799, 1305, 540, 3606, 2934, 563, 14818, 532, 5985, 3156, 3340, 1210, 1082, 1114, 2645, 585, 2238, 602, 9832, 689, 4152, 2792, 547, 10916, 17079, 269, 769, 713, 2376, 267, 667, 2466, 787, 7101, 7770, 14150, 8638, 930, 540, 519, 2645, 602, 646, 3096, 538, 1010, 3232, 5985, 8924, 4152, 2238, 563, 14818, 9616, 269, 1470, 568, 513, 1863, 18799, 3498, 602, 2488, 2241, 4063, 2921, 6351, 585, 30405, 4152, 269, 1411, 666, 2594, 519, 3527, 267, 2055, 267, 2093, 543, 12961, 602, 8451, 1282, 707, 3301, 4152, 29293, 543, 13143, 873, 538, 1114, 12043, 269, 0, 1432, 1772, 5253, 16974, 888, 268, 14464, 27413, 538, 5253, 454, 268, 2051, 1819, 21708, 543, 7256, 454, 268, 2961, 582, 523, 6950, 281, 7822, 1218, 538, 5253, 15733, 454, 268, 7849, 27413, 454, 268, 634, 3703, 2229, 9415, 5841, 1426, 24470, 547, 4603, 609, 2067, 4778, 454, 268, 4208, 568, 5841, 1426, 7801, 3983, 585, 596, 888, 268, 1772, 5253, 16974, 17214, 689, 13813, 888, 268, 7849, 1426, 7801, 568, 711, 607, 7524, 454, 268, 589, 7726, 827, 5253, 454, 268, 5851, 645, 1136, 609, 30854, 5253, 16974, 454, 268, 7981, 1399, 1426, 7801, 585, 17711, 454, 268, 717, 601, 1426, 7801, 585, 15470, 902, 543, 476, 6005, 454, 25369, 27413, 538, 5253, 454, 18744, 1808, 3536, 666, 581, 13881, 609, 1079, 3606, 4778, 267, 21060, 645, 543, 13022, 6350, 4414, 476, 273, 269, 12182, 2915, 543, 30725, 720, 8732, 902, 616, 519, 1152, 1919, 602, 21060, 645, 568, 1031, 585, 269, 634, 10538, 22019, 568, 1152, 2681, 676, 13022, 6350, 4414, 476, 273, 563, 25369, 4778, 666, 581, 1031, 538, 1426, 267, 5103, 741, 7681, 609, 13027, 6547, 543, 824, 1072, 4145, 269, 9941, 10425, 267, 1648, 10425, 267, 14735, 30012, 267, 30644, 16152, 267, 24799, 267, 26437, 27130, 543, 811, 616, 782, 11954, 609, 14117, 1948, 276, 267, 661, 6200, 267, 543, 824, 24470, 269, 634, 5755, 13545, 20004, 568, 1634, 547, 2014, 4230, 327, 332, 3430, 2931, 267, 2960, 6547, 267, 543, 1256, 2014, 513, 1106, 540, 29472, 566, 538, 1453, 563, 1103, 16157, 267, 15212, 543, 18940, 267, 621, 568, 17049, 269, 7849, 24470, 616, 6508, 689, 21449, 821, 267, 15279, 2033, 267, 543, 824, 19857, 547, 2736, 1524, 519, 1591, 6821, 538, 4829, 543, 5388, 269, 2368, 2067, 1426, 24470, 616, 5532, 609, 3978, 13027, 6547, 543, 824, 1072, 4145, 563, 8624, 1819, 21708, 543, 7256, 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 ]
[ 273, 454, 343, 454, 268, 273, 454, 272, 454, 320, 994, 277, 454, 268, 274, 454, 268, 275, 454, 321, 264, 476, 1240, 454, 322, 994, 344, 454, 272, 454, 1240, 454, 273, 454, 272, 454, 323, 264, 476, 277, 454, 322, 994, 866, 269, 16534, 585, 1535, 563, 276, 343, 454, 273, 454, 266, 276, 343, 266, 279, 454, 284, 476, 1839, 6629, 274, 343, 6629, 279, 454, 268, 272, 454, 268, 272, 454, 272, 454, 273, 454, 274, 454, 275, 454, 276, 454, 277, 454, 278, 454, 279, 454, 280, 454, 272, 454, 273, 454, 274, 454, 275, 454, 276, 454, 277, 454, 278, 454, 279, 454, 280, 454, 343, 454, 268, 273, 454, 268, 274, 454, 268, 275, 454, 320, 264, 476, 275, 543, 6567, 275, 454, 268, 276, 454, 321, 264, 476, 279, 543, 476, 274, 454, 268, 277, 454, 322, 264, 6567, 279, 543, 6567, 274, 454, 344, 454, 323, 264, 6567, 275, 454, 277, 454, 276, 454, 275, 454, 323, 994, 274, 454, 273, 454, 272, 454, 268, 272, 454, 268, 272, 454, 268, 273, 454, 274, 454, 343, 454, 21316, 295, 476, 2420, 454, 293, 2562, 3201, 12327, 4456, 454, 2641, 269, 10576, 519, 7301, 3948, 563, 306, 21283, 4041, 589, 454, 1839, 269, 4855, 519, 6389, 540, 519, 1599, 563, 325, 630, 343, 264, 815, 6567, 23692, 263, 274, 343, 1341, 476, 273, 264, 1341, 476, 275, 454, 18414, 454, 272, 454, 320, 264, 23692, 263, 552, 264, 21591, 273, 454, 343, 454, 8421, 1535, 454, 321, 264, 2845, 454, 23751, 344, 454, 8421, 586, 454, 320, 264, 630, 6629, 31236, 267, 476, 275, 2639, 273, 454, 321, 264, 630, 6629, 2073, 3980, 508, 994, 274, 454, 322, 264, 2845, 274, 630, 736, 264, 568, 1063, 476, 273, 543, 476, 274, 454, 322, 264, 1496, 275, 267, 3980, 508, 994, 323, 264, 634, 2039, 540, 535, 630, 343, 264, 815, 23692, 3287, 264, 568, 519, 1305, 540, 782, 1483, 2338, 454, 273, 454, 323, 264, 630, 324, 476, 274, 2073, 3980, 508, 994, 2420, 269, 16534, 585, 1535, 563, 8421, 273, 630, 273, 343, 273, 6567, 476, 275, 264, 815, 476, 276, 454, 337, 454, 320, 264, 1535, 815, 1299, 15200, 19282, 3248, 3066, 454, 273, 454, 321, 264, 1535, 815, 1299, 15200, 19282, 282, 277, 454, 337, 454, 322, 264, 1535, 815, 1299, 15200, 19282, 3248, 273, 32504, 272, 454, 8421, 273, 630, 276, 994, 273, 454, 18414, 454, 323, 264, 1535, 815, 1299, 15200, 19282, 282, 274, 476, 273, 454, 293, 2562, 3201, 12327, 4456, 910, 590, 21283, 4041, 589, 910, 26395, 312, 454, 272, 269, 589, 476, 273, 269, 645, 476, 274, 269, 589, 476, 275, 269, 645, 476, 276, 269, 595, 476, 277, 269, 667, 476, 278, 269, 667, 476, 279, 269, 645, 476, 280, 269, 589, 476, 1015, 269, 595, 476, 1556, 269, 589, 476, 1321, 269, 645, 454, 1724, 269, 595, 476, 1691, 269, 595, 476, 1428, 269, 589, 476, 1626, 269, 595, 476, 1704, 269, 589, 476, 1240, 269, 667, 476, 866, 269, 595, 476, 736, 269, 589, 476, 2641, 269, 645, 476, 2420, 269, 667, 476, 2537, 563, 288, 476, 2190, 269, 589, 476, 1839, 269, 645, 454, 2537, 269, 16534, 585, 1535, 563, 15238, 3287, 264, 1341, 23692, 3287, 1341, 476, 272, 264, 815, 23692, 263, 273, 343, 1341, 476, 277, 994, 320, 264, 1535, 815, 476, 274, 454, 321, 264, 1535, 815, 476, 274, 267, 6567, 273, 454, 322, 264, 1535, 815, 476, 276, 454, 323, 264, 1100, 3070, 454, 2190, 269, 16534, 585, 1535, 269, 3503, 519, 2626, 538, 2474, 540, 3490, 268, 1015, 17969, 916, 563, 4366, 343, 815, 476, 278, 343, 266, 280, 454, 320, 264, 1535, 21591, 280, 2845, 263, 278, 994, 279, 2845, 263, 275, 264, 6567, 2845, 263, 278, 994, 321, 264, 1535, 21591, 280, 2845, 263, 278, 994, 279, 2845, 263, 275, 264, 6567, 476, 272, 454, 322, 264, 1535, 21591, 280, 2845, 263, 278, 994, 278, 2845, 263, 275, 994, 323, 264, 1535, 21591, 8421, 263, 278, 994, 8421, 263, 275, 994, 275, 454, 3499, 0, 258, 1215, 798, 594, 1265, 10085, 7933, 343, 585, 519, 1739, 3830, 281, 630, 343, 317, 273, 264, 1341, 476, 273, 344, 815, 476, 275, 12169, 317, 274, 264, 1341, 23692, 343, 2496, 1892, 476, 3445, 276, 5784, 692, 1607, 568, 606, 1383, 540, 17697, 15285, 609, 2463, 547, 1535, 780, 763, 4480, 585, 1114, 11868, 971, 606, 3830, 568, 607, 5205, 1384, 272, 269, 7756, 5573, 1142, 2165, 538, 1535, 609, 2463, 547, 1535, 780, 273, 269, 1280, 1142, 2165, 538, 586, 267, 16174, 609, 2463, 547, 586, 267, 543, 9062, 519, 1267, 676, 10085, 7933, 343, 780, 274, 269, 681, 792, 9792, 519, 4611, 3830, 267, 547, 1118, 10085, 7933, 343, 519, 1641, 540, 519, 4542, 780, 11405, 1384, 4131, 3830, 1109, 3287, 317, 273, 264, 1341, 476, 273, 344, 815, 476, 275, 12169, 317, 274, 264, 1341, 23692, 343, 581, 1572, 30916, 6393, 17843, 11868, 30916, 264, 609, 2463, 547, 1535, 267, 1287, 22198, 4474, 267, 2687, 547, 519, 1614, 3652, 1657, 267, 3947, 1384, 273, 343, 1341, 476, 273, 5560, 344, 7933, 343, 264, 815, 1496, 1321, 12169, 317, 273, 13580, 263, 11276, 7933, 343, 264, 1341, 630, 272, 24474, 264, 18092, 692, 314, 273, 910, 476, 1321, 12169, 317, 273, 13580, 263, 11276, 7933, 343, 264, 815, 630, 272, 24474, 264, 910, 476, 273, 343, 18092, 692, 273, 314, 272, 910, 476, 277, 12169, 317, 273, 13580, 263, 11276, 7933, 343, 264, 815, 1496, 272, 910, 476, 273, 3287, 317, 273, 13580, 270, 343, 18092, 692, 11276, 7933, 343, 815, 1109, 314, 272, 910, 476, 273, 3287, 317, 273, 13580, 14370, 273, 343, 314, 272, 910, 476, 277, 12169, 317, 273, 13580, 6393, 26170, 12758, 286, 5192, 835, 3562, 14633, 948, 689, 513, 13948, 26906, 1641, 11285, 780, 4817, 260, 540, 938, 5561, 2557, 721, 692, 2171, 946, 12897, 547, 2087, 707, 3135, 1995, 269, 1635, 11173, 547, 946, 713, 3896, 267, 649, 3513, 8263, 602, 596, 2811, 15528, 609, 713, 269, 0, 2162, 6732, 5441, 20043, 585, 15894, 692, 275, 20861, 338, 602, 4001, 30151, 3955, 10094, 4635, 519, 570, 5937, 626, 9084, 692, 258, 30151, 3955, 10094, 4635, 519, 570, 5937, 626, 9084, 692, 7462, 28951, 912, 263, 279, 994, 1892, 630, 273, 994, 1892, 630, 275, 994, 1892, 630, 271, 994, 1892, 630, 272, 994, 1892, 630, 272, 994, 12041, 281, 24138, 7982, 2006, 454, 7462, 13517, 1384, 24280, 513, 6015, 8884, 1210, 519, 512, 1673, 626, 9084, 780, 263, 3467, 2020, 306, 2684, 807, 779, 1582, 19550, 2228, 6030, 616, 513, 1390, 1259, 547, 4688, 942, 543, 2724, 607, 596, 7118, 17099, 14718, 585, 4483, 547, 1082, 1114, 12621, 543, 9945, 269, 22177, 5591, 5491, 3556, 2838, 692, 4391, 20153, 807, 4891, 10018, 5491, 4483, 780, 26482, 30543, 723, 7608, 610, 2016, 840, 22190, 549, 1998, 585, 5491, 4483, 780, 265, 634, 1977, 7027, 593, 4065, 781, 5441, 15894, 24805, 566, 6796, 630, 19781, 15894, 10378, 264, 814, 11117, 543, 5227, 2852, 5491, 585, 476, 3953, 540, 20153, 807, 779, 2228, 6030, 269, 3509, 1114, 12621, 543, 9945, 2015, 31984, 10911, 3633, 3951, 7840, 538, 8159, 519, 31675, 547, 741, 1576, 543, 4110, 3292, 780, 307, 583, 3645, 692, 1012, 11473, 3690, 5524, 692, 17098, 269, 901, 5850, 6227, 6015, 11996, 1210, 519, 512, 1673, 626, 9084, 269, 1924, 267, 1101, 267, 1577, 781, 2689, 519, 8847, 540, 519, 6015, 8884, 543, 519, 512, 1673, 626, 9084, 269, 1924, 513, 6015, 8884, 568, 606, 7447, 1336, 676, 1210, 513, 3732, 18802, 543, 4946, 543, 18946, 606, 2179, 7222, 547, 875, 8746, 649, 616, 602, 519, 8884, 19306, 519, 9936, 269, 1656, 513, 512, 1673, 626, 9084, 568, 513, 3892, 2147, 547, 519, 3339, 3892, 855, 4470, 593, 3732, 2450, 1281, 711, 27298, 2509, 519, 21217, 607, 3728, 780, 3383, 4466, 513, 6015, 8884, 3322, 2185, 2147, 3268, 547, 8876, 856, 513, 8367, 1449, 269, 1924, 649, 2811, 2469, 547, 2965, 734, 649, 2811, 2469, 547, 979, 998, 519, 6015, 8884, 3268, 1101, 267, 543, 1287, 649, 3513, 1491, 513, 1413, 693, 606, 1383, 543, 4019, 1142, 540, 891, 3268, 269, 1924, 1900, 476, 272, 267, 4584, 513, 512, 5182, 269, 1924, 713, 568, 1018, 781, 1572, 513, 2565, 512, 17032, 602, 13292, 519, 6015, 1377, 543, 3732, 2450, 269, 5153, 476, 273, 267, 649, 2811, 2469, 547, 2638, 519, 2175, 780, 3721, 476, 274, 267, 5173, 519, 8884, 1210, 519, 1739, 4542, 269, 898, 781, 1535, 3046, 7132, 610, 14263, 512, 5182, 267, 1586, 267, 602, 781, 602, 2565, 512, 17032, 267, 2053, 519, 3732, 3044, 11539, 5258, 676, 519, 4009, 3597, 540, 562, 269, 5457, 602, 713, 521, 936, 519, 4009, 3597, 540, 562, 568, 513, 2268, 540, 519, 3044, 5470, 269, 1656, 1900, 476, 275, 267, 1533, 513, 3932, 538, 2796, 780, 3383, 649, 2811, 2469, 547, 4019, 1142, 540, 1346, 2185, 3268, 547, 606, 1383, 269, 1924, 15475, 596, 2811, 5461, 538, 21501, 519, 1611, 2179, 540, 2724, 6170, 593, 14770, 625, 829, 3923, 585, 513, 2475, 7622, 540, 1079, 4079, 543, 1079, 1453, 269, 1924, 1759, 593, 513, 4351, 3732, 540, 562, 11224, 476, 10219, 10820, 267, 1535, 3046, 11224, 8096, 14138, 543, 521, 267, 519, 3732, 3044, 11539, 267, 568, 8096, 1839, 585, 10865, 14770, 625, 12349, 780, 3383, 585, 891, 476, 10219, 10820, 267, 593, 3328, 267, 8096, 14138, 729, 6170, 829, 3923, 609, 519, 3044, 11539, 540, 8096, 1839, 269, 1924, 7447, 519, 1611, 2724, 6170, 593, 14770, 625, 1210, 513, 476, 4817, 260, 6015, 1377, 269, 1924, 1577, 781, 979, 998, 713, 1900, 676, 1900, 269, 1924, 649, 2811, 2469, 547, 1376, 676, 16116, 513, 1871, 540, 512, 5182, 602, 13292, 519, 6015, 1377, 543, 519, 3732, 2450, 269, 1924, 3314, 602, 649, 616, 7231, 609, 513, 476, 4817, 260, 6015, 1377, 267, 543, 562, 11224, 476, 10219, 269, 1924, 649, 1185, 476, 10219, 7622, 3732, 2450, 780, 3383, 547, 4584, 713, 1871, 540, 512, 5182, 267, 594, 6415, 2469, 547, 946, 1250, 9498, 543, 946, 513, 9498, 1599, 1572, 11201, 512, 269, 11088, 267, 649, 2811, 3168, 585, 513, 512, 17032, 269, 1924, 649, 991, 513, 1871, 689, 519, 512, 1673, 626, 9084, 269, 1924, 649, 798, 602, 3478, 713, 11201, 512, 269, 1656, 1287, 707, 1079, 7440, 267, 519, 1101, 4661, 568, 519, 2766, 5506, 540, 519, 6015, 1377, 269, 1924, 519, 6015, 1377, 568, 476, 4817, 9077, 865, 649, 2811, 6158, 827, 519, 1647, 476, 4817, 10065, 1924, 602, 1797, 972, 781, 476, 273, 269, 276, 260, 593, 1142, 2427, 269, 1924, 1250, 2766, 5506, 568, 476, 271, 269, 28276, 780, 4517, 1287, 594, 6415, 2469, 547, 798, 26893, 543, 1287, 26893, 519, 5232, 540, 5191, 269, 1656, 5232, 540, 5191, 568, 1759, 593, 519, 3732, 2450, 269, 1703, 781, 2141, 562, 14263, 476, 272, 5232, 540, 5191, 585, 513, 3732, 2450, 540, 562, 269, 1924, 538, 713, 2013, 267, 938, 5232, 540, 5191, 568, 476, 10219, 269, 1656, 594, 6415, 2469, 547, 5734, 9373, 972, 269, 1656, 621, 781, 2469, 547, 2285, 803, 513, 2565, 512, 17032, 540, 2942, 476, 272, 269, 280, 8064, 269, 1656, 950, 649, 2811, 7231, 609, 512, 5182, 267, 649, 2356, 1175, 946, 519, 2318, 4528, 540, 602, 2565, 1871, 267, 865, 2318, 476, 272, 269, 280, 8064, 780, 3086, 1900, 476, 273, 267, 649, 616, 2469, 547, 2638, 519, 2175, 269, 11088, 609, 707, 2175, 267, 519, 2175, 1934, 616, 519, 1482, 607, 952, 596, 941, 7231, 609, 513, 8367, 1449, 269, 1924, 649, 991, 513, 4351, 3732, 269, 1284, 991, 4830, 7422, 269, 1656, 649, 991, 513, 3339, 10386, 3892, 780, 3383, 538, 713, 2013, 267, 782, 540, 1346, 2175, 786, 581, 1558, 269, 1284, 3513, 8263, 649, 616, 7231, 609, 513, 4351, 3732, 269, 634, 3732, 7422, 941, 4830, 267, 865, 649, 25541, 1447, 982, 476, 1015, 260, 540, 519, 2551, 2450, 269, 1656, 649, 723, 513, 3339, 10386, 3892, 1317, 562, 568, 476, 10219, 267, 799, 25389, 519, 3844, 3970, 11532, 780, 3721, 1614, 267, 1631, 649, 2811, 2965, 2469, 547, 5173, 519, 8884, 1210, 519, 4542, 269, 1924, 649, 2811, 2469, 547, 1376, 609, 1535, 3046, 269, 1924, 1535, 3046, 729, 476, 14138, 269, 1656, 649, 2811, 2469, 547, 979, 7132, 610, 14263, 938, 2565 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 24961, 519, 2250, 267, 13594, 519, 4786, 454, 1432, 568, 715, 299, 31043, 286, 1103, 519, 13524, 2540, 972, 941, 811, 982, 476, 8517, 25772, 538, 519, 13814, 267, 1141, 2221, 1152, 827, 476, 14596, 2611, 269, 634, 715, 299, 31043, 630, 301, 5930, 4133, 22127, 6176, 3590, 264, 1788, 568, 606, 4674, 547, 4729, 1239, 585, 891, 25772, 593, 13840, 4977, 29109, 6302, 585, 519, 1974, 476, 8687, 273, 910, 476, 1960, 278, 563, 7659, 17972, 763, 1788, 781, 2832, 568, 1079, 19507, 281, 547, 1450, 1875, 8566, 3041, 4966, 547, 3362, 4729, 1239, 593, 3140, 7851, 543, 547, 22412, 622, 1344, 593, 519, 7851, 543, 519, 5817, 1239, 689, 519, 8466, 18482, 540, 10656, 27391, 8017, 630, 8461, 7582, 1040, 1284, 798, 865, 538, 519, 1739, 6073, 281, 0, 307, 21310, 17533, 630, 307, 289, 264, 568, 835, 540, 519, 1158, 779, 2101, 3123, 540, 4576, 543, 2669, 269, 6168, 1079, 5479, 1004, 267, 610, 835, 21017, 540, 519, 1158, 779, 2551, 267, 4163, 519, 19505, 4551, 4352, 621, 666, 2611, 26862, 585, 1296, 543, 1034, 19057, 2760, 2965, 1020, 3742, 19505, 2068, 269, 1323, 11763, 23197, 2068, 267, 19505, 814, 1044, 593, 519, 4473, 2094, 519, 476, 2735, 271, 338, 267, 5097, 538, 476, 2420, 2048, 14683, 11411, 685, 2477, 538, 14913, 5607, 543, 4000, 269, 634, 2068, 779, 32134, 568, 2047, 4448, 547, 519, 7486, 25266, 6855, 4534, 2523, 538, 4000, 1141, 7486, 5829, 4617, 2287, 540, 519, 3339, 4761, 1949, 814, 1291, 547, 1164, 543, 10825, 6771, 3928, 602, 2047, 6252, 7486, 9860, 269, 6820, 1569, 547, 19505, 2126, 568, 5355, 855, 3788, 1970, 538, 1082, 2477, 543, 519, 11944, 540, 1312, 3818, 268, 543, 3665, 3075, 15033, 19505, 267, 13514, 513, 3978, 3463, 547, 19505, 2126, 543, 1852, 269, 2201, 3328, 267, 606, 7783, 1367, 786, 3468, 476, 1015, 547, 476, 1428, 1866, 12422, 563, 307, 289, 2126, 3340, 3670, 547, 5216, 3275, 540, 3232, 2126, 1510, 9397, 269, 6034, 569, 9866, 5703, 9615, 10374, 1576, 630, 23077, 4811, 264, 568, 519, 3486, 3044, 585, 19505, 1852, 15469, 676, 14959, 538, 1931, 547, 26924, 2126, 10220, 269, 769, 3384, 2477, 3668, 540, 1569, 547, 11298, 4811, 814, 8329, 547, 519, 3262, 540, 19505, 543, 519, 1646, 540, 3075, 15033, 12490, 563, 7468, 10675, 30359, 543, 19505, 6513, 454, 7468, 10675, 7426, 616, 3335, 519, 1101, 11060, 7426, 540, 1416, 543, 6646, 585, 19505, 2550, 538, 3384, 2477, 269, 4014, 3384, 2197, 2090, 616, 1906, 267, 519, 2963, 5267, 602, 476, 272, 270, 273, 540, 782, 2665, 540, 19505, 616, 5701, 538, 519, 4357, 5823, 267, 1256, 538, 2477, 609, 476, 1911, 260, 1569, 547, 1863, 2126, 538, 2229, 19190, 269, 31524, 2090, 538, 15057, 1397, 602, 2550, 1847, 538, 1312, 8846, 1282, 751, 1576, 540, 2126, 910, 689, 1857, 547, 4357, 607, 513, 1267, 540, 17140, 609, 1279, 7996, 942, 610, 3668, 540, 3075, 13632, 267, 543, 689, 4357, 547, 1857, 607, 513, 1267, 540, 16607, 5868, 267, 2298, 4145, 267, 610, 3668, 540, 2200, 547, 3136, 4357, 2126, 563, 3199, 260, 540, 519, 6820, 19505, 645, 6324, 523, 538, 476, 2420, 18831, 912, 268, 5915, 269, 3115, 269, 540, 22096, 454, 268, 6739, 18966, 454, 268, 3162, 4000, 454, 268, 2136, 3115, 269, 540, 25157, 454, 268, 8304, 21601, 454, 19013, 267, 4357, 7426, 538, 1082, 5468, 10355, 723, 1569, 547, 2963, 2861, 2259, 267, 2866, 538, 19505, 1416, 267, 610, 2298, 4915, 269, 16700, 10972, 1725, 2670, 267, 1164, 2126, 1942, 267, 3668, 540, 1569, 547, 3617, 6527, 267, 18106, 1036, 6036, 13310, 267, 543, 1875, 1260, 20869, 1851, 2550, 616, 1455, 2042, 538, 19505, 1416, 269, 634, 2164, 616, 16607, 22612, 540, 1416, 543, 25739, 6771, 267, 1646, 540, 11259, 12490, 267, 543, 1164, 9019, 3928, 269, 2353, 540, 891, 5031, 519, 991, 585, 2994, 547, 6451, 4357, 7426, 883, 3084, 19505, 3292, 543, 11298, 4811, 7269, 2994, 563, 28403, 1944, 519, 13766, 540, 5473, 782, 1072, 1416, 7426, 538, 19505, 1852, 267, 519, 11298, 4811, 28841, 11554, 6828, 630, 291, 11246, 294, 264, 540, 519, 2518, 17547, 19505, 26844, 814, 4646, 513, 32299, 593, 968, 21504, 17376, 10675, 3575, 892, 585, 11298, 4811, 7269, 630, 13048, 300, 5937, 302, 4811, 1040, 21118, 539, 676, 519, 14959, 267, 623, 15014, 5937, 302, 4811, 10953, 12725, 3617, 2994, 547, 3095, 782, 7426, 547, 3084, 19505, 3292, 269, 1677, 4266, 267, 972, 723, 1044, 936, 476, 2412, 623, 15014, 5937, 302, 4811, 3785, 538, 476, 1428, 2477, 267, 3246, 1863, 6527, 543, 11298, 4811, 2866, 547, 513, 3376, 2039, 540, 4357, 7426, 269, 634, 2164, 723, 1044, 9621, 267, 1519, 513, 476, 1015, 268, 2568, 260, 2333, 538, 2013, 7020, 267, 3152, 982, 476, 5952, 260, 6454, 538, 2126, 4093, 630, 1492, 3077, 585, 3084, 19505, 3292, 1070, 3292, 5051, 8757, 519, 30529, 5095, 267, 543, 1942, 9806, 585, 3084, 19505, 1982, 7245, 563, 268, 15783, 2038, 2013, 7020, 454, 268, 1401, 12371, 7817, 3490, 454, 268, 661, 848, 540, 1569, 547, 1416, 543, 6527, 454, 268, 8899, 16841, 454, 268, 1323, 7716, 640, 585, 7218, 454, 268, 16424, 568, 2352, 454, 268, 10866, 540, 1416, 949, 4268, 4922, 454, 268, 3143, 15314, 585, 4013, 11731, 454, 268, 8779, 540, 1416, 949, 1291, 547, 19944, 6672, 454, 268, 5262, 2159, 9477, 540, 13564, 1242, 6527, 454, 268, 3131, 2091, 15314, 2509, 3735, 5868, 454, 268, 19768, 540, 8047, 2533, 454, 268, 9741, 2866, 593, 3063, 1790, 592, 14004, 19505, 0, 290, 11448, 531, 25853, 6565, 2281, 616, 4092, 538, 519, 21828, 6106, 540, 519, 18215, 639, 543, 616, 1898, 585, 519, 25430, 540, 519, 13423, 26375, 543, 519, 8699, 540, 519, 1351, 928, 531, 588, 668, 320, 269, 11202, 3098, 30032, 329, 3753, 7133, 519, 18215, 639, 1291, 547, 700, 306, 7374, 267, 799, 666, 581, 3361, 2901, 676, 15110, 2619, 3098, 630, 534, 597, 573, 807, 267, 918, 2839, 543, 661, 4488, 6794, 267, 3092, 4700, 610, 267, 811, 4122, 267, 616, 519, 1267, 540, 9715, 2188, 267, 971, 607, 3114, 270, 31516, 7063, 267, 22292, 543, 9357, 1944, 2234, 9911, 267, 3346, 7828, 23128, 520, 14527, 267, 1929, 4472, 6391, 543, 2175, 899, 21862, 839, 11219, 28427, 6794, 269, 1879, 700, 306, 7374, 4386, 267, 519, 30240, 31792, 2526, 13423, 26375, 267, 799, 568, 7363, 15286, 689, 1958, 549, 2286, 593, 519, 1351, 928, 531, 2627, 676, 700, 306, 12336, 267, 4955, 6233, 936, 519, 588, 668, 320, 269, 901, 1184, 568, 1634, 607, 31792, 2526, 1436, 543, 2356, 568, 10483, 676, 683, 7975, 1436, 543, 9402, 4017, 22201, 6018, 5160, 8720, 519, 1351, 928, 531, 2627, 630, 335, 2335, 639, 1040, 901, 5555, 5012, 547, 5312, 6553, 267, 1351, 928, 531, 1566, 13369, 543, 5075, 15717, 269, 1230, 14846, 1351, 928, 531, 24328, 568, 711, 15164, 607, 267, 538, 1931, 547, 8011, 267, 621, 3340, 519, 16795, 10682, 540, 519, 20033, 779, 1351, 928, 531, 13423, 26375, 609, 519, 18579, 779, 269, 700, 306, 7374, 267, 3079, 267, 2636, 23995, 574, 12885, 31792, 2526, 1591, 3824, 9512, 609, 18913, 683, 7975, 1436, 543, 6553, 267, 4611, 538, 31894, 21910, 5821, 269, 14904, 609, 2698, 700, 306, 7374, 616, 4061, 4057, 10457, 585, 1351, 928, 531, 24328, 269, 769, 476, 2735, 280, 267, 6284, 540, 519, 991, 547, 25579, 880, 519, 6565, 1591, 2551, 538, 700, 306, 7374, 3366, 547, 519, 1646, 540, 1929, 4472, 21910, 338, 607, 513, 1797, 540, 19620, 1351, 928, 531, 25853, 6565, 2281, 538, 519, 4064, 540, 2550, 609, 700, 306, 7374, 269, 1717, 267, 835, 3978, 20159, 568, 519, 10421, 585, 513, 2450, 762, 1929, 4472, 21856, 267, 607, 909, 547, 476, 1789, 268, 2412, 260, 1590, 581, 19122, 689, 519, 733, 1537, 8632, 20033, 3750, 269, 901, 949, 2800, 519, 7293, 8699, 540, 519, 6967, 2635, 3750, 267, 543, 11151, 519, 17279, 540, 519, 5650, 538, 2013, 540, 5821, 269, 1280, 891, 4128, 267, 538, 519, 2063, 476, 1015, 268, 1428, 1296, 267, 608, 24155, 7269, 540, 700, 306, 12336, 814, 1044, 22002, 269, 769, 476, 1960, 278, 267, 19994, 5586, 337, 7236, 1696, 620, 4330, 519, 3811, 16646, 540, 519, 522, 4788, 2627, 538, 476, 273, 2550, 609, 4049, 700, 306, 7374, 1210, 24328, 540, 1351, 928, 531, 25853, 6565, 2281, 9678, 689, 476, 272, 7825, 273, 1929, 4472, 1979, 3591, 625, 543, 9450, 538, 20117, 630, 303, 601, 5586, 337, 7236, 1696, 620, 1421, 31102, 476, 1960, 278, 282, 476, 4097, 280, 281, 476, 31275, 268, 274, 1040, 3509, 824, 2090, 10503, 519, 4791, 3498, 540, 700, 306, 12336, 9450, 538, 20117, 723, 2094, 1044, 4080, 267, 609, 1967, 3928, 8151, 689, 476, 5379, 547, 476, 1911, 260, 543, 1246, 5346, 2053, 689, 476, 277, 3275, 547, 476, 1015, 1296, 630, 293, 20482, 926, 1696, 620, 1421, 5890, 4860, 744, 20953, 28485, 476, 1220, 280, 282, 476, 275, 281, 476, 28766, 268, 3066, 1040, 769, 476, 1220, 273, 267, 674, 289, 10976, 3964, 513, 8426, 31543, 799, 814, 2094, 7856, 1351, 928, 531, 6565, 1591, 21910, 338, 547, 5176, 476, 736, 1857, 543, 4357, 10506, 2429, 7977, 609, 476, 14917, 2550, 609, 796, 10561, 700, 306, 7374, 5701, 630, 13312, 594, 528, 1470, 1696, 620, 269, 744, 4788, 17183, 476, 1001, 271, 282, 476, 279, 281, 476, 16409, 268, 14631, 1040, 769, 811, 982, 476, 3583, 260, 540, 2550, 267, 21910, 532, 540, 1313, 27881, 2275, 738, 3293, 700, 306, 12336, 814, 3366, 547, 519, 14897, 766, 540, 4791, 2589, 543, 1279, 3856, 11808, 540, 513, 2312, 543, 7123, 1351, 928, 531, 13423, 26375, 563, 4407, 519, 1657, 4330, 9354, 2994, 616, 1134, 2919, 585, 2550, 609, 796, 10561, 700, 306, 7374, 267, 5574, 585, 2550, 609, 24845, 700, 306, 7374, 616, 1869, 896, 22987, 269, 7799, 4472, 782, 690, 2761, 338, 941, 7620, 5340, 1210, 5160, 689, 513, 2713, 3448, 20033, 609, 2635, 4064, 630, 331, 1516, 5829, 1929, 4472, 782, 690, 2761, 264, 610, 513, 21549, 20033, 630, 12027, 520, 565, 574, 4472, 782, 690, 2761, 24328, 1040, 1717, 267, 1813, 547, 519, 15466, 640, 540, 519, 18215, 639, 267, 1929, 4472, 782, 690, 2761, 338, 616, 693, 2362, 4220, 540, 18349, 3379, 547, 6671, 1351, 928, 531, 24328, 269, 634, 18970, 545, 4161, 547, 519, 3984, 568, 2362, 538, 1929, 4472, 1098, 680, 5896, 8031, 1317, 540, 741, 2362, 1297, 540, 700, 9734, 327, 753, 2281, 269, 1280, 891, 4128, 267, 23700, 2154, 1279, 3856, 11528, 6375, 657, 6269, 1833, 630, 335, 1042, 23036, 821, 267, 7814, 30950, 710, 267, 3092, 264, 1927, 609, 22521, 28335, 547, 10804, 21910, 6668, 269, 11153, 2090, 723, 9672, 519, 2956, 540, 11528, 6375, 657, 6269, 1833, 538, 2550, 18460, 1929, 4472, 782, 690, 2761, 269, 2290, 1353, 1336, 476, 9262, 260, 540, 2550, 602, 941, 5701, 609, 11528, 6375, 657, 6269, 1833, 1185, 513, 7123, 522, 4788, 2627, 3379, 547, 476, 7830, 260, 602, 941, 711, 5701, 269, 3590, 545, 2427, 2360, 540, 6375, 657, 6269, 1833, 1331, 4049, 8801, 2621, 971, 607, 2669, 267, 26961, 658, 1102, 541, 794, 267, 6147, 15842, 341, 6018, 2680, 267, 543, 6281, 6084, 2293, 269, 19724, 8801, 2621, 540, 6375, 657, 6269, 1833, 1331, 19260, 538, 1979, 17190, 267, 2799, 9025, 1981, 2188, 267, 543, 5563, 8506, 30674, 269, 769, 513, 1804, 24794, 8826, 3126, 540, 476, 15793, 2550, 18460, 700, 17092, 24328, 543, 11528, 6375, 657, 6269, 1833, 609, 513, 1611, 1246, 5346, 540, 476, 275, 267, 276, 1296, 267, 476, 272, 267, 276, 260, 1185, 513, 4049, 8801, 2680, 543, 476, 1428, 267, 275, 260, 1185, 5634, 8801, 2621, 269, 5381, 9270, 616, 849, 3020, 585, 24328, 540, 20033, 23402, 31796, 700, 306, 12336, 269, 1280, 713, 2601, 24328, 540, 1313, 27881, 6565, 2281, 689, 2959, 799, 616, 4244, 547, 519, 18215, 639, 267, 1131, 581, 606, 4277, 543, 9621, 1007, 1935, 269, 2368, 22602, 723, 5063, 6069, 519, 946, 540, 25782, 6565, 2281, 267, 5642, 20768, 23402, 8544, 26067, 2096, 531, 6565, 2281, 543, 1775, 4916, 269, 11778, 723, 865, 2484, 1044, 5833, 1152, 538, 3662, 3631, 540, 1351, 928, 531, 3441, 543, 6318, 930, 6161, 607, 891, 2281, 616, 711, 540, 968, 322, 11448, 320, 892, 610, 968, 3916, 24650, 892, 5169, 543, 1223, 4061, 1291, 547, 519, 1646, 540, 693, 2988, 673, 1591, 1899, 1137, 269, 589, 811, 4277, 1935, 1131, 4061, 581, 547, 946, 2281, 540 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 1001, 278, 1923, 8212, 543, 18395, 0, 18128, 2064, 689, 7422, 543, 2780, 13502, 7028, 513, 4605, 540, 14925, 2208, 602, 3884, 1405, 13856, 676, 519, 11315, 7146, 2389, 18443, 26301, 540, 2462, 15270, 269, 5502, 267, 1034, 540, 519, 7122, 781, 24974, 1558, 1886, 565, 2478, 2408, 547, 3049, 2933, 609, 562, 756, 7632, 3079, 540, 905, 6814, 563, 22349, 1258, 12002, 723, 1031, 519, 26931, 6611, 23571, 547, 32708, 883, 519, 7122, 781, 2038, 21971, 1210, 519, 1769, 689, 15270, 602, 11478, 1896, 4627, 2929, 1296, 1310, 519, 8262, 10854, 563, 288, 1543, 1190, 2943, 22064, 31485, 267, 1488, 335, 13934, 513, 1883, 30343, 540, 519, 8262, 10854, 2429, 519, 476, 3192, 271, 338, 543, 476, 2735, 271, 338, 543, 6038, 8593, 883, 771, 325, 2948, 1851, 1010, 9164, 563, 5331, 513, 1614, 3613, 541, 1062, 609, 1079, 3043, 546, 8705, 12028, 543, 513, 3552, 569, 18343, 267, 2706, 323, 1619, 23377, 5182, 267, 782, 14095, 1369, 513, 2230, 1100, 8273, 982, 3047, 781, 10739, 563, 294, 320, 807, 9250, 16950, 8393, 13628, 6640, 693, 476, 280, 281, 1321, 27635, 630, 275, 281, 1321, 513, 6230, 269, 8109, 9208, 5384, 1040, 901, 1279, 268, 11867, 1243, 5692, 786, 10502, 4786, 519, 9883, 543, 20517, 540, 476, 272, 5479, 6801, 538, 938, 14925, 563, 288, 1950, 540, 1614, 6505, 267, 5182, 268, 14127, 804, 7927, 1572, 13924, 27323, 568, 26399, 538, 519, 2038, 7122, 269, 2060, 922, 1769, 8757, 721, 689, 950, 519, 7122, 729, 1152, 476, 8517, 2929, 1296, 2025, 267, 713, 2215, 867, 658, 14925, 1223, 6556, 5813, 883, 519, 21792, 1184, 540, 2038, 14925, 5250, 563, 10521, 2487, 6901, 3970, 21575, 685, 5172, 11134, 585, 519, 21792, 543, 15865, 2339, 30443, 6362, 538, 519, 7122, 563, 22349, 1258, 12002, 723, 9672, 602, 1769, 689, 513, 11397, 14925, 568, 8757, 721, 689, 827, 476, 10384, 2929, 1296, 1310, 519, 8262, 10854, 269, 634, 14925, 781, 12998, 23456, 602, 5182, 5250, 1282, 602, 5736, 1522, 723, 8399, 539, 693, 513, 1454, 5488, 2557, 982, 5892, 2219, 563, 5475, 2185, 1296, 540, 27610, 7422, 267, 519, 5767, 5692, 547, 1353, 519, 7122, 781, 9998, 1769, 814, 1044, 9505, 339, 1229, 269, 1809, 713, 1439, 568, 513, 6126, 835, 543, 2501, 609, 513, 1713, 14421, 1670, 9371, 563, 22349, 1258, 12002, 723, 6368, 9571, 513, 1454, 3620, 25660, 16519, 4806, 538, 519, 1310, 326, 869, 540, 519, 8262, 10854, 267, 543, 621, 1522, 948, 7866, 10637, 781, 15040, 563, 19177, 3532, 5925, 28377, 723, 2451, 19936, 31153, 741, 9843, 269, 634, 28377, 2408, 547, 2097, 689, 1896, 5479, 1769, 26188, 2476, 543, 1223, 1683, 513, 2898, 1007, 1413, 693, 519, 7122, 2443, 855, 24319, 5749, 1405, 2386, 1018, 789, 616, 563, 22137, 540, 18642, 6801, 2303, 519, 7122, 814, 2484, 1932, 2370, 540, 835, 1106, 540, 16864, 543, 2484, 1932, 1454, 540, 1776, 269, 1809, 1007, 960, 2982, 602, 519, 2034, 1966, 1522, 581, 9039, 343, 11962, 563, 288, 7372, 23377, 5182, 543, 922, 17426, 2427, 330, 1157, 1683, 513, 2189, 2230, 8047, 547, 1449, 2489, 25536, 269, 1924, 2484, 267, 8904, 8952, 1969, 532, 607, 621, 781, 9277, 547, 563, 16248, 1761, 3713, 687, 689, 2620, 11895, 1223, 581, 689, 4158, 2339, 5536, 269, 2755, 1869, 7334, 267, 519, 1267, 5267, 513, 9325, 2527, 538, 5329, 609, 23456, 689, 1896, 824, 6901, 563, 14722, 1210, 606, 6293, 20829, 519, 4139, 6611, 13749, 723, 6027, 513, 5365, 602, 1522, 2097, 689, 4158, 2339, 2443, 610, 1522, 711, 563, 23945, 1188, 5692, 3744, 723, 5950, 519, 1101, 3368, 540, 741, 7422, 540, 519, 17184, 17196, 4282, 269, 634, 2164, 616, 513, 10875, 21533, 540, 2221, 781, 3044, 2203, 585, 875, 519, 7122, 4646, 543, 8057, 269, 1809, 789, 849, 6318, 930, 2212, 27214, 7806, 7129, 563, 301, 8960, 519, 1439, 540, 922, 5692, 267, 30673, 781, 670, 619, 322, 3559, 6611, 25076, 814, 9447, 513, 3810, 2143, 4786, 540, 5393, 4411, 3154, 543, 7452, 538, 519, 11599, 1656, 668, 20364, 30982, 563, 5978, 27305, 10158, 16034, 2282, 519, 1283, 538, 519, 890, 9535, 1931, 540, 18700, 15270, 267, 855, 621, 781, 1100, 6474, 585, 606, 11999, 834, 529, 1633, 7122, 257, 538, 519, 26424, 623, 822, 334, 602, 568, 811, 982, 476, 4335, 267, 1822, 1769, 26188, 2066, 563, 14722, 1832, 3843, 547, 16355, 557, 519, 9208, 7844, 602, 1754, 985, 2413, 6323, 269, 1656, 789, 1832, 17528, 563, 6124, 7422, 676, 519, 26931, 6611, 23571, 7866, 930, 540, 519, 9998, 15270, 538, 519, 7122, 563, 22349, 1258, 12002, 723, 4362, 606, 6397, 7778, 585, 1946, 789, 666, 1152, 1265, 513, 1507, 6824, 540, 519, 9682, 15270, 519, 27305, 10158, 568, 9277, 547, 723, 563, 2304, 3486, 2319, 814, 1031, 519, 14897, 766, 540, 1164, 20589, 22726, 547, 7522, 538, 593, 519, 5169, 540, 519, 1769, 3411, 6748, 519, 26355, 563, 288, 1007, 1353, 5267, 602, 561, 2158, 727, 6801, 538, 15270, 685, 17439, 4554, 856, 12921, 16630, 3565, 547, 513, 12357, 267, 1025, 582, 16408, 16657, 602, 15449, 919, 519, 6607, 563, 763, 26931, 6611, 23571, 781, 21777, 2620, 2230, 3239, 8761, 476, 276, 267, 4335, 15270, 538, 513, 6263, 267, 4158, 15429, 540, 6607, 538, 519, 26424, 1280, 333, 1314, 563, 6124, 7422, 540, 519, 9540, 7395, 749, 23307, 13192, 723, 1152, 15398, 519, 9814, 4478, 513, 5756, 17489, 17184, 598, 1495, 5300, 281, 1946, 1281, 519, 7122, 723, 865, 1454, 1447, 16864, 982, 19936, 1589, 621, 1058, 286, 0, 26872, 3528, 7917, 10830, 32304, 631, 269, 589, 1421, 9466, 2160, 267, 476, 1220, 274, 645, 269, 589, 1421, 2160, 540, 3703, 12052, 267, 476, 1220, 271, 19080, 4427, 4784, 538, 9864, 20106, 540, 519, 3267, 14872, 454, 4517, 713, 568, 1141, 2688, 2501, 1394, 883, 519, 4605, 269, 11426, 267, 2687, 547, 519, 1480, 626, 5640, 540, 519, 11193, 267, 729, 513, 3196, 602, 267, 607, 8053, 5218, 324, 12662, 621, 267, 968, 515, 321, 23176, 562, 657, 2283, 892, 630, 272, 269, 2537, 269, 11820, 1070, 543, 7551, 568, 2111, 968, 1372, 562, 748, 1094, 529, 597, 1696, 3227, 328, 2678, 632, 512, 16279, 4990, 324, 267, 844, 685, 14504, 890, 710, 865, 527, 268, 559, 679, 562, 748, 632, 562, 748, 678, 685, 822, 7546, 632, 1094, 2379, 572, 1696, 632, 678, 685, 550, 17243, 679, 562, 748, 267, 13248, 1167, 712, 597, 1696, 986, 2581, 1676, 632, 28140, 3921, 517, 333, 1734, 892, 630, 272, 269, 2537, 269, 12893, 1040, 9692, 1548, 779, 811, 267, 519, 2470, 540, 2688, 729, 9062, 543, 547, 4573, 622, 267, 6721, 1514, 543, 3909, 1193, 1057, 607, 621, 2799, 519, 3604, 1063, 1004, 269, 769, 513, 13085, 17720, 1847, 267, 2705, 267, 631, 1430, 543, 700, 2378, 527, 879, 16620, 519, 1360, 18735, 540, 2688, 3294, 2390, 519, 2887, 689, 11419, 269, 4935, 631, 1430, 267, 538, 513, 28005, 517, 593, 519, 8594, 540, 968, 18128, 559, 31654, 2345, 2223, 13187, 602, 968, 718, 1133, 516, 2102, 4733, 1004, 267, 616, 589, 6717, 19851, 6865, 3633, 9215, 11298, 12601, 6579, 282, 616, 896, 519, 1379, 540, 5345, 559, 31654, 727, 892, 543, 602, 968, 1492, 22731, 16429, 267, 799, 649, 616, 4535, 609, 531, 267, 568, 513, 1290, 6473, 540, 782, 16429, 995, 31346, 892, 630, 3192, 1916, 299, 2378, 527, 879, 267, 585, 1010, 851, 267, 513, 951, 602, 782, 25384, 10764, 7703, 968, 2317, 512, 16279, 14883, 527, 2946, 546, 753, 682, 1381, 324, 513, 11355, 13767, 14241, 632, 3288, 15215, 642, 2946, 761, 762, 267, 844, 685, 559, 5033, 1076, 6446, 1095, 4302, 512, 719, 561, 685, 24207, 513, 476, 18863, 2946, 929, 529, 546, 753, 682, 544, 17845, 1889, 535, 4637, 892, 630, 272, 269, 280, 1070, 1210, 1010, 13354, 2079, 540, 9821, 547, 10250, 602, 5169, 1394, 3564, 15584, 547, 14088, 543, 18832, 630, 272, 269, 1015, 268, 1724, 270, 272, 269, 3953, 268, 3451, 1040, 5197, 769, 1010, 1620, 540, 2688, 267, 631, 1430, 8930, 9557, 519, 1360, 6161, 602, 22755, 519, 454, 3725, 4146, 3294, 267, 799, 568, 1134, 6829, 676, 513, 8574, 646, 6592, 538, 1010, 2372, 582, 573, 10005, 912, 7474, 968, 1492, 5939, 729, 7930, 18348, 539, 267, 607, 538, 1200, 1684, 551, 21218, 267, 865, 538, 1200, 10847, 282, 606, 20581, 540, 18428, 267, 676, 5232, 1202, 839, 4601, 23510, 538, 282, 835, 900, 5799, 812, 5310, 11827, 543, 13736, 513, 1978, 2962, 267, 799, 646, 1031, 5128, 2560, 1866, 1373, 3366, 676, 1010, 608, 655, 921, 267, 5340, 519, 1482, 267, 543, 1866, 1586, 708, 18469, 873, 267, 11489, 693, 3259, 267, 519, 11059, 2968, 513, 28673, 267, 543, 8169, 727, 892, 630, 314, 3393, 269, 8660, 316, 1040, 634, 2832, 540, 631, 1430, 779, 13804, 26515, 2441, 328, 1977, 320, 267, 1287, 267, 729, 28025, 538, 5329, 609, 519, 2832, 540, 519, 26746, 281, 547, 2132, 547, 267, 538, 1010, 1913, 267, 968, 1492, 3924, 540, 519, 6986, 560, 15215, 2560, 4503, 267, 538, 519, 2530, 540, 18642, 968, 560, 340, 701, 30829, 519, 12823, 892, 630, 272, 269, 2537, 269, 11463, 5148, 968, 572, 1125, 543, 1671, 333, 732, 721, 538, 971, 513, 1259, 602, 621, 568, 15991, 1369, 938, 1379, 547, 1205, 6000, 1394, 856, 540, 922, 17945, 543, 2132, 6000, 547, 2992, 543, 2601, 827, 922, 3921, 514, 1734, 892, 630, 272, 269, 2537, 269, 1911, 264, 968, 7945, 29077, 538, 3029, 540, 10847, 609, 1346, 540, 3020, 4984, 602, 621, 4667, 602, 3592, 782, 922, 1898, 2798, 723, 1044, 1759, 593, 519, 1482, 5748, 892, 630, 272, 269, 1789, 268, 4029, 264, 3741, 267, 543, 519, 18642, 2853, 267, 2390, 799, 621, 729, 1101, 3964, 892, 630, 2412, 1040, 1306, 700, 2378, 527, 879, 779, 960, 9727, 1256, 811, 5693, 982, 631, 1430, 779, 267, 519, 1062, 3294, 16877, 519, 2079, 540, 2688, 607, 513, 1797, 540, 19620, 602, 2215, 531, 2783, 998, 519, 7271, 540, 519, 12170, 1505, 3294, 267, 799, 12346, 593, 519, 1379, 540, 2601, 547, 7493, 10096, 689, 6151, 1239, 563, 6546, 700, 2378, 527, 879, 1058, 2671, 631, 1430, 779, 31117, 609, 556, 652, 629, 7667, 519, 3312, 2853, 540, 519, 4168, 5939, 949, 711, 3514, 609, 938, 6671, 1620, 540, 519, 17557, 14727, 987, 4301, 7941, 267, 2943, 2487, 9880, 814, 6700, 602, 519, 2360, 540, 519, 22388, 268, 3725, 4146, 2390, 7826, 24396, 543, 12250, 2259, 8272, 549, 1042, 1346, 540, 519, 26746, 2390, 17557, 2259, 538, 1082, 24947, 12544, 4183, 540, 519, 22388, 3725, 4146, 602, 8053, 5218, 324, 8068, 693, 922, 1360, 4098, 630, 272, 269, 2537, 269, 15686, 268, 6344, 270, 272, 269, 2537, 269, 10755, 1916, 2690, 1312, 631, 1430, 543, 700, 2378, 527, 879, 267, 1287, 267, 519, 2619, 909, 630, 528, 1394, 264, 547, 2696, 3340, 873, 547, 3132, 513, 17396, 543, 2518, 5075, 540, 519, 1480, 1158, 538, 1931, 547, 7157, 20196, 568, 267, 21230, 1765, 2444, 1643, 1346, 12738, 543, 2853, 602, 5330, 547, 1346, 540, 519, 2038, 5939, 269, 634, 1184, 540, 7744, 11652, 922, 7755, 9417, 267, 21229, 12185, 1603, 1765, 718, 3298, 873, 547, 18949, 267, 689, 1312, 3140, 543, 10236, 1670, 2963, 267, 1018, 1346, 2853, 1590, 723, 1044, 267, 855, 621, 3340, 602, 789, 2097, 547, 2543, 7111, 4892, 607, 25793, 1777, 1229, 5260, 1137, 4503, 538, 519, 17909, 540, 840, 3620, 626, 800, 267, 543, 3976, 24835, 762, 540, 519, 2186, 540, 7744, 2877, 547, 1831, 5396, 540, 1686, 2864, 982, 1641, 547, 621, 269, 4935, 267, 1247, 27055, 553, 631, 1824, 577, 814, 11130, 602, 10236, 1670, 11407, 543, 3140, 11407, 1312, 968, 4820, 720, 656, 2560, 3288, 10206, 546, 685, 684, 1661, 1186, 2189, 267, 13274, 2946, 18311, 1696, 3356, 604, 892, 12462, 307, 655, 1186, 10236, 860, 1664, 892, 476, 3422, 1070, 8687, 519, 960, 540, 631, 1430, 543, 700, 2378, 527, 879, 5267, 602, 942, 538, 891, 27964, 568, 1312, 5276, 543, 1612, 20326, 267, 16439, 267, 593, 519, 835, 1688, 267, 3540, 1242, 8103, 779, 3356, 689, 519, 2887, 689, 11419, 998, 547, 922, 3803, 20344, 543, 267, 593, 519, 824, 267, 519, 10419, 783, 2887, 540, 519, 5260, 720, 563, 2108, 291, 2839, 5990, 9501, 3198, 296, 2752, 9169, 667, 9128, 292, 2969, 5990, 5442, 14888, 23177, 15760, 19294, 23177, 5508, 590, 5456, 10064, 9495, 2026, 20900, 623, 698, 6577, 4967, 538, 1010, 2062, 5320, 547, 513, 2487, 556, 22568, 540, 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 ]
[ 609, 7247, 596, 2461, 14379, 2529, 701, 6033, 5940, 10330, 269, 2560, 24606, 2271, 550, 13478, 655, 24939, 269, 2560, 16508, 5678, 269, 2560, 9608, 21887, 563, 1432, 616, 519, 476, 278, 31346, 540, 3983, 6947, 888, 1432, 616, 519, 5722, 14686, 6208, 540, 3983, 6947, 286, 570, 12941, 856, 20585, 3584, 267, 535, 1136, 3007, 267, 27548, 547, 19240, 267, 10404, 1944, 5920, 267, 3092, 1421, 17259, 547, 8753, 267, 32232, 547, 3929, 1913, 267, 543, 14443, 532, 563, 3963, 798, 594, 6560, 6432, 888, 763, 3668, 540, 606, 2702, 547, 6432, 1134, 11710, 689, 2901, 519, 3668, 540, 513, 22510, 3007, 12732, 610, 519, 7287, 547, 2965, 2628, 3007, 269, 4595, 596, 1616, 547, 1689, 543, 13404, 593, 1018, 1004, 2161, 267, 1577, 779, 8263, 596, 798, 1416, 827, 519, 1913, 602, 2097, 856, 540, 824, 1004, 779, 28182, 563, 1692, 798, 596, 4001, 3742, 6947, 1983, 888, 6826, 5765, 606, 15765, 5903, 10273, 28324, 23206, 269, 12315, 519, 10584, 707, 3768, 22866, 3007, 267, 543, 11760, 519, 5048, 269, 2560, 8058, 2334, 1411, 2461, 23016, 269, 2422, 707, 1378, 1560, 1893, 543, 17267, 547, 1397, 602, 596, 616, 7722, 269, 2560, 3629, 24720, 269, 2560, 4347, 518, 7225, 8540, 269, 2560, 29594, 2561, 10187, 2299, 563, 1432, 616, 519, 2185, 1034, 2500, 6947, 6114, 888, 2252, 596, 616, 1616, 547, 2087, 707, 6947, 1983, 267, 2259, 3742, 6947, 269, 15765, 6947, 3340, 519, 26575, 547, 5873, 267, 6218, 543, 4612, 519, 1543, 540, 4633, 269, 634, 2185, 2010, 540, 3742, 6947, 616, 22950, 337, 2084, 267, 10452, 4606, 267, 10452, 2495, 543, 14805, 894, 8086, 563, 1432, 616, 519, 476, 276, 4057, 6947, 1983, 888, 303, 3233, 23016, 281, 1215, 10691, 547, 19415, 898, 568, 3833, 6093, 540, 721, 547, 946, 891, 2947, 4057, 6947, 6163, 281, 1975, 5217, 4934, 267, 23239, 754, 23016, 267, 8564, 633, 23016, 267, 6478, 23016, 267, 543, 8682, 19721, 23016, 269, 1975, 5217, 4934, 1107, 1879, 596, 616, 6158, 547, 2576, 543, 789, 11716, 596, 1317, 741, 2247, 568, 593, 1945, 3116, 563, 1692, 666, 649, 2057, 6947, 7496, 888, 1692, 547, 7753, 519, 7496, 540, 6947, 14737, 4476, 19240, 10422, 1874, 527, 1125, 6947, 936, 6340, 10611, 9254, 576, 3544, 6846, 10422, 15462, 10452, 3079, 540, 1219, 22162, 269, 16485, 2055, 269, 8266, 523, 4628, 1354, 4758, 5796, 563, 1432, 616, 476, 275, 2010, 540, 6947, 888, 2467, 616, 2185, 1114, 2010, 540, 6947, 602, 616, 1898, 547, 917, 950, 14045, 1018, 707, 3804, 607, 519, 26575, 568, 269, 634, 2185, 2010, 540, 6947, 616, 3507, 894, 267, 26003, 545, 267, 3102, 267, 543, 2565, 563, 1432, 616, 519, 476, 274, 589, 779, 540, 3742, 6947, 888, 763, 1614, 968, 2026, 2223, 799, 616, 10182, 267, 3007, 267, 543, 16369, 267, 1404, 513, 1883, 1909, 538, 6947, 1983, 269, 4495, 596, 1174, 875, 891, 1764, 707, 6947, 267, 789, 1034, 2693, 786, 3251, 538, 707, 2247, 543, 1832, 596, 593, 707, 19462, 950, 621, 2501, 547, 519, 2053, 596, 991, 873, 519, 1034, 563, 1432, 616, 519, 3742, 6947, 2553, 888, 763, 3742, 6947, 1983, 564, 3322, 891, 476, 277, 3742, 6947, 1983, 281, 303, 11691, 3007, 267, 4415, 3835, 532, 10385, 267, 8269, 22162, 267, 5141, 541, 4328, 267, 11764, 3405, 1944, 267, 543, 2529, 327, 2130, 563, 1432, 568, 6947, 585, 7071, 888, 7343, 3285, 894, 6947, 568, 513, 1826, 540, 6947, 2623, 1141, 519, 26575, 11394, 1978, 1344, 799, 789, 786, 5660, 267, 543, 2743, 1010, 17017, 2115, 543, 3853, 269, 2290, 3096, 3507, 894, 6947, 950, 6947, 547, 2575, 267, 6965, 610, 519, 28817, 1913, 540, 513, 4633, 563, 1432, 616, 2500, 6947, 1983, 888, 19931, 6947, 1983, 616, 519, 2702, 547, 8362, 1174, 1344, 3177, 676, 519, 10584, 267, 543, 4159, 1719, 538, 519, 1888, 5941, 269, 898, 666, 849, 1331, 3246, 519, 10584, 609, 5955, 267, 971, 607, 519, 6998, 540, 22317, 2055, 282, 865, 519, 10584, 6487, 519, 5048, 568, 1373, 6956, 563, 7617, 568, 519, 1101, 1900, 538, 6947, 1184, 888, 8139, 610, 8223, 568, 968, 3333, 1563, 2495, 1063, 6105, 538, 513, 2792, 11834, 892, 543, 13054, 519, 1101, 1900, 538, 519, 6947, 1184, 269, 901, 568, 519, 3942, 1282, 799, 519, 26575, 11887, 519, 2796, 543, 10096, 540, 519, 1913, 646, 610, 1352, 30650, 563, 1432, 616, 519, 2185, 6947, 7496, 888, 763, 476, 275, 31875, 547, 13229, 23016, 288, 2067, 12402, 547, 1616, 547, 3717, 1101, 543, 1445, 593, 938, 1378, 16786, 269, 901, 4991, 538, 519, 1259, 540, 938, 2702, 547, 2731, 5873, 543, 1174, 519, 824, 1268, 12991, 1122, 894, 11994, 3823, 519, 10584, 543, 5924, 1888, 269, 2560, 3776, 2702, 547, 1589, 1454, 5488, 982, 2576, 666, 3717, 269, 2560, 16508, 267, 5007, 267, 4835, 543, 2686, 6846, 563, 1432, 616, 519, 1455, 6188, 15297, 538, 2500, 6947, 888, 8266, 2287, 7496, 949, 581, 5626, 630, 324, 3052, 1421, 519, 26575, 779, 4664, 264, 610, 2168, 630, 324, 3052, 1421, 6846, 543, 3308, 30411, 1040, 1717, 267, 930, 540, 519, 1034, 1455, 7496, 547, 2500, 6947, 1331, 1970, 5834, 267, 3668, 540, 3922, 1436, 267, 4057, 27790, 267, 543, 2519, 593, 2511, 2864, 982, 6219, 269, 0, 4572, 279, 268, 1960, 272, 281, 590, 4954, 590, 603, 1961, 454, 306, 4954, 590, 603, 1961, 10483, 21388, 21662, 593, 1082, 2361, 15143, 267, 1141, 646, 19443, 538, 519, 4015, 267, 2960, 940, 267, 543, 7041, 540, 6177, 543, 25850, 15013, 630, 5228, 476, 4489, 271, 268, 3707, 279, 5017, 543, 11864, 941, 538, 835, 3296, 1107, 2362, 30900, 1040, 901, 3769, 27459, 2358, 519, 19494, 7041, 593, 519, 31996, 599, 6441, 836, 17833, 1695, 926, 30609, 819, 538, 476, 4350, 271, 269, 2201, 713, 7552, 267, 646, 849, 10483, 6004, 31996, 599, 538, 13287, 540, 2462, 3014, 269, 590, 603, 1961, 779, 22111, 19494, 7041, 936, 519, 1576, 540, 1082, 1296, 540, 3028, 5921, 646, 1500, 513, 9645, 9295, 547, 519, 1699, 10070, 563, 8448, 4549, 2209, 723, 3769, 15243, 631, 32634, 6511, 630, 4198, 280, 268, 1960, 279, 1070, 543, 2663, 9400, 5590, 2131, 613, 563, 289, 2273, 10410, 11948, 4015, 543, 7041, 454, 1103, 519, 2250, 267, 5017, 941, 8929, 267, 855, 811, 5063, 789, 616, 9575, 1210, 24437, 543, 20637, 563, 763, 7041, 2553, 616, 2147, 547, 1346, 1031, 538, 519, 11864, 4015, 267, 799, 568, 547, 5965, 3819, 15013, 610, 15013, 12873, 538, 4568, 269, 634, 3819, 15013, 616, 2901, 513, 2973, 22403, 267, 610, 513, 5423, 2960, 269, 0, 22416, 2264, 21084, 568, 10416, 519, 1184, 540, 4180, 602, 513, 3060, 610, 5310, 2780, 1062, 568, 1360, 6870, 1996, 610, 22342, 2264, 269, 769, 513, 2428, 9917, 961, 267, 22342, 16292, 568, 513, 1106, 540, 2780, 3301, 602, 5910, 1742, 4742, 513, 20027, 1305, 540, 20072, 538, 1931, 547, 1780, 593, 543, 1028, 841, 824, 1949, 593, 519, 3060, 563, 7212, 972, 616, 1585, 2010, 540, 18453, 267, 741, 1880, 1292, 3804, 568, 2356, 547, 3468, 543, 21102, 10347, 1344, 1318, 689, 5121, 269, 901, 2186, 540, 1239, 568, 1419, 1031, 538, 519, 4070, 1369, 519, 18453, 6030, 543, 666, 3622, 581, 11843, 547, 824, 3755, 676, 1797, 540, 4757, 610, 998, 519, 5769, 269, 769, 713, 2376, 267, 649, 782, 786, 979, 936, 1018, 740, 2264, 543, 22342, 2264, 2731, 568, 267, 1175, 875, 621, 1568, 267, 607, 1134, 607, 519, 1585, 2010, 602, 616, 4867, 23646, 1524, 5904, 1472, 519, 1158, 563, 1432, 568, 1975, 344, 16292, 286, 5689, 2264, 568, 3989, 607, 17351, 3301, 1982, 2966, 547, 10536, 4357, 1344, 610, 1685, 24648, 527, 1493, 2238, 593, 519, 3060, 269, 1520, 2264, 543, 22342, 2264, 568, 2965, 5057, 547, 606, 3003, 3301, 1982, 1646, 4783, 2443, 519, 1374, 267, 13120, 267, 4152, 267, 3498, 267, 543, 5826, 540, 519, 22342, 2264, 543, 740, 2264, 1982, 269, 901, 2186, 540, 4783, 666, 581, 7745, 1524, 538, 1082, 2694, 267, 855, 585, 713, 1543, 267, 649, 786, 6157, 1865, 1152, 1346, 2694, 602, 616, 1031, 547, 21102, 1344, 610, 5310, 1685, 10363, 2238, 563, 763, 1034, 6093, 2010, 540, 5689, 2264, 616, 18453, 3292, 602, 616, 1031, 547, 21102, 14804, 1344, 269, 901, 666, 1331, 18538, 267, 32259, 3556, 2338, 267, 1439, 3593, 4408, 543, 18538, 267, 543, 12948, 1239, 971, 607, 4871, 268, 27665, 2338, 269, 6271, 2186, 540, 18453, 602, 666, 581, 1336, 593, 533, 14369, 2221, 568, 22342, 2264, 269, 1975, 344, 2264, 543, 740, 2264, 25173, 1344, 827, 3283, 2228, 3527, 676, 11018, 1344, 602, 789, 666, 4283, 883, 4950, 3029, 593, 7270, 2228, 899, 15750, 2572, 899, 544, 903, 10628, 267, 9365, 267, 3828, 9231, 267, 3092, 4586, 2005, 568, 1271, 547, 4063, 711, 782, 18858, 329, 753, 3292, 616, 1500, 3160, 269, 589, 2241, 1383, 540, 513, 3339, 18453, 3301, 568, 519, 22342, 2264, 602, 666, 581, 8704, 998, 513, 19800, 563, 763, 1826, 540, 1975, 344, 2264, 543, 602, 568, 4122, 1031, 2221, 568, 6444, 607, 18858, 329, 753, 269, 589, 18858, 329, 753, 957, 607, 519, 3844, 4971, 2262, 2497, 585, 602, 1305, 540, 740, 2264, 543, 22342, 2264, 3292, 269, 5272, 1268, 2488, 7783, 513, 18858, 329, 753, 267, 3730, 547, 873, 713, 4971, 1899, 2497, 547, 6494, 1344, 4464, 543, 18807, 1063, 519, 7783, 2780, 607, 1134, 607, 519, 18453, 1982, 267, 538, 2081, 547, 1685, 3875, 4247, 563, 5415, 1419, 982, 711, 267, 1004, 666, 711, 21898, 3823, 1210, 1975, 344, 2264, 543, 740, 2264, 4027, 3301, 269, 1358, 2965, 865, 5631, 1317, 789, 3494, 602, 707, 3301, 568, 607, 1134, 2352, 547, 1305, 909, 543, 960, 609, 269, 1717, 2073, 519, 2241, 5168, 568, 267, 596, 1810, 1406, 723, 547, 1265, 856, 1022, 4101, 5752, 13172, 547, 3888, 1975, 344, 2264, 543, 740, 2264, 4027, 2780, 3301, 269, 2353, 596, 991, 547, 798, 568, 1205, 513, 1434, 5164, 4926, 8851, 3498, 563, 2467, 616, 1082, 4550, 2173, 531, 2264, 2645, 11593, 2139, 593, 1899, 267, 543, 930, 540, 873, 616, 1863, 269, 4634, 1498, 930, 540, 891, 2645, 616, 1863, 267, 1866, 991, 596, 547, 2628, 585, 741, 1880, 2533, 269, 13575, 267, 952, 596, 946, 513, 1164, 7779, 4550, 2173, 531, 2264, 3498, 267, 596, 666, 581, 2386, 596, 4465, 1406, 6749, 3407, 9623, 602, 786, 581, 25855, 547, 7164, 2228, 21190, 563, 4407, 621, 1223, 3280, 2312, 267, 596, 666, 2760, 2141, 581, 1932, 6297, 609, 519, 2780, 543, 922, 1880, 1239, 267, 543, 621, 3085, 1406, 10413, 547, 581, 18762, 827, 5689, 2264, 269, 589, 1434, 1982, 786, 948, 596, 547, 1685, 606, 7525, 11571, 593, 707, 2780, 865, 602, 596, 1223, 1294, 952, 972, 616, 1022, 2107, 22342, 2264, 5563, 267, 607, 1134, 607, 1373, 2111, 547, 9004, 519, 3968, 27507, 540, 2965, 2348, 547, 6963, 520, 707, 2780, 563, 5475, 596, 723, 1031, 606, 5140, 4550, 2173, 531, 2264, 2780, 3301, 267, 596, 786, 2760, 1995, 547, 5855, 827, 3478, 13572, 1586, 269, 6787, 610, 711, 596, 2461, 711, 693, 707, 1753, 610, 616, 3257, 960, 267, 596, 666, 1524, 4452, 519, 3301, 543, 2196, 513, 723, 513, 1413, 693, 20471, 543, 9170, 593, 707, 26099, 267, 543, 4585, 519, 2780, 779, 9716, 2087, 269, 1403, 596, 4782, 513, 1863, 4550, 2173, 531, 2264, 3301, 267, 581, 2386, 547, 1224, 519, 5386, 1820, 1884, 2711, 2264, 585, 21236, 1354, 596, 4647, 713, 563, 6826, 4179, 2517, 656, 643, 6400, 577, 2354, 2593, 2386, 547, 4585, 856, 585, 6456, 21291, 267, 607, 513, 2603, 811, 4359, 14640, 8686, 6400, 3301, 666, 2097, 609, 811, 2934, 982, 1942, 6954, 3301, 269, 2368, 540, 519, 2934, 6451, 606, 4550, 8686, 6400, 543, 4550, 1606, 6853, 2264, 602, 786, 3713, 543, 4894, 5563, 607, 1134, 607, 5689, 2264, 269, 1306, 1134, 267, 596, 786, 581, 3177, 519, 2702, 547, 1305, 909, 606, 2228, 2272, 865, 602, 596, 666, 6895, 707, 2780, 779, 2773, 563, 3080, 2460, 540, 1975, 344, 2264, 543, 4027, 666, 581, 5464, 267, 5631, 1317, 713, 2636, 596, 547, 1832, 3950, 540, 519, 2773, 540, 707, 2123, 2780, 269, 1403, 596, 616, 5781, 10992, 707, 15291, 610, 2780, 585, 15164, 5563, 267, 596, 949, 2697, 950, 972, 568, 4376, 19035, 2469, 593, 609, 707, 2780, 1062, 269, 0, 2467, 3357, 513, 695, 18115, 543, 513, 627, 626, 1782, 3280, 2676, 6781, 913, 267, 9944, 267, 22290, 267, 543, 1472, 2676, 21953, 6978, 683 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 16815, 6918, 710, 799, 7930, 2799, 547, 476, 1911, 26818, 326, 269, 3733, 3993, 543, 1312, 519, 14552, 849, 723, 519, 1966, 855, 789, 2661, 513, 3339, 1272, 269, 1717, 267, 594, 1745, 5312, 11563, 3968, 630, 531, 2865, 1169, 3923, 1070, 10194, 8611, 630, 332, 843, 8611, 4881, 585, 1279, 8653, 1070, 1250, 11563, 23465, 547, 519, 4411, 4365, 267, 7452, 3092, 269, 594, 1745, 3665, 9854, 1034, 942, 269, 4595, 2063, 1079, 1296, 267, 1250, 2783, 814, 22009, 269, 3733, 570, 274, 1377, 568, 2356, 693, 519, 2539, 1439, 630, 16838, 1310, 6646, 1040, 594, 1031, 547, 1491, 3940, 1139, 3916, 757, 799, 3361, 803, 2603, 540, 7181, 13542, 543, 5798, 1932, 269, 3767, 594, 723, 11074, 782, 519, 5230, 5946, 269, 1215, 666, 594, 2661, 513, 3339, 1272, 286, 594, 993, 476, 6246, 1296, 2025, 5256, 630, 320, 10196, 264, 543, 1616, 547, 723, 606, 3742, 1272, 543, 4876, 269, 7490, 948, 803, 563, 8025, 3041, 9215, 5357, 11298, 2464, 10691, 11550, 4668, 292, 631, 19075, 5084, 309, 21201, 269, 898, 568, 5497, 585, 2489, 21141, 5301, 1152, 543, 1281, 711, 2232, 1367, 6381, 269, 898, 568, 711, 513, 12990, 585, 3318, 2564, 5796, 267, 5868, 610, 2126, 543, 1058, 711, 581, 16941, 593, 547, 1118, 3664, 827, 707, 1072, 269, 8550, 11716, 3318, 2564, 5796, 538, 5275, 2126, 1317, 540, 1945, 596, 723, 1224, 593, 519, 5680, 13270, 13505, 269, 1403, 596, 1589, 596, 949, 723, 513, 2564, 6595, 267, 5612, 1289, 707, 4387, 610, 3866, 476, 26605, 563, 289, 821, 26185, 1107, 2142, 1030, 543, 9269, 6006, 2270, 519, 11254, 7408, 561, 3491, 1467, 543, 561, 3766, 569, 322, 710, 267, 799, 666, 948, 7816, 519, 9667, 16298, 543, 2087, 30847, 269, 24942, 26185, 849, 3568, 3875, 1271, 6886, 602, 16138, 880, 519, 9667, 8778, 543, 2061, 19518, 899, 7513, 267, 13101, 267, 16903, 543, 13339, 269, 1306, 851, 540, 707, 30847, 2732, 267, 5642, 26185, 814, 1044, 3254, 547, 948, 7753, 1426, 22740, 8481, 267, 2087, 1648, 543, 4339, 9854, 267, 2333, 12046, 267, 543, 2539, 1928, 540, 519, 6091, 543, 10549, 563, 24791, 667, 568, 1271, 585, 4761, 1062, 1072, 543, 568, 1500, 538, 519, 2960, 689, 4598, 547, 519, 3141, 781, 22292, 12345, 269, 12192, 667, 568, 849, 1336, 538, 3536, 899, 9761, 3165, 267, 13798, 6797, 3282, 267, 543, 25167, 24799, 269, 3194, 5267, 602, 6171, 667, 10638, 949, 581, 5532, 547, 519, 1646, 540, 25300, 574, 9369, 781, 11178, 4345, 630, 2246, 334, 14545, 20968, 8557, 2068, 1070, 543, 602, 6171, 667, 21455, 949, 948, 609, 519, 2126, 540, 11178, 2068, 563, 2005, 781, 711, 2614, 585, 707, 11178, 2157, 547, 581, 834, 7538, 257, 610, 2887, 1369, 519, 4704, 2039, 269, 769, 1082, 2665, 267, 585, 596, 547, 6336, 2597, 609, 30847, 267, 596, 991, 707, 11178, 2157, 547, 581, 834, 9953, 2711, 1701, 2334, 1797, 602, 707, 11178, 18398, 9449, 630, 4811, 295, 264, 1377, 1131, 3335, 2887, 2630, 476, 273, 269, 271, 267, 543, 707, 1863, 570, 275, 543, 1863, 570, 274, 1131, 2887, 538, 519, 5580, 3368, 540, 519, 4704, 2039, 563, 8923, 8074, 281, 634, 1570, 593, 713, 3135, 568, 3177, 585, 21141, 5301, 1152, 543, 568, 711, 2564, 5796, 269, 11408, 5077, 707, 10629, 1354, 4098, 1022, 2732, 610, 3635, 1982, 563, 15648, 9736, 2661, 7749, 601, 17670, 3820 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9713, 267, 17391, 267, 3308, 267, 5042, 267, 610, 5605, 17419, 1040, 901, 1797, 5176, 476, 272, 856, 540, 1169, 476, 1839, 1453, 3068, 930, 4161, 607, 789, 1451, 267, 1404, 267, 543, 2170, 609, 1866, 563, 1607, 19209, 729, 17543, 2966, 547, 1683, 3255, 585, 782, 6502, 543, 5759, 547, 1404, 543, 2170, 607, 513, 2146, 1927, 269, 2311, 936, 476, 2767, 267, 1822, 13483, 269, 10264, 267, 621, 786, 581, 4904, 609, 1187, 3860, 19209, 3937, 602, 786, 6536, 1565, 998, 19511, 1404, 269, 19662, 547, 1995, 10444, 11656, 1404, 786, 581, 3015, 585, 782, 6502, 543, 5759, 269, 634, 19209, 849, 2882, 10851, 543, 3937, 585, 1114, 2085, 2516, 4180, 3937, 568, 2502, 585, 519, 10545, 1126, 547, 519, 1126, 693, 2295, 269, 2353, 1453, 666, 1404, 1927, 609, 741, 9905, 267, 12543, 267, 543, 1920, 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 ]
[ 930, 4388, 602, 835, 666, 1246, 950, 1603, 971, 4574, 5941, 538, 713, 2376, 10289, 519, 30765, 540, 519, 6406, 2782, 834, 2005, 568, 1134, 602, 2112, 568, 865, 15265, 267, 3116, 649, 1058, 1332, 1932, 23816, 540, 621, 1701, 9625, 14197, 7917, 661, 563, 25456, 14288, 10749, 454, 20578, 3883, 5623, 26415, 32392, 7896, 6732, 901, 568, 513, 2427, 540, 519, 6406, 2782, 1419, 16053, 269, 18722, 6807, 729, 513, 15028, 7890, 4087, 1317, 540, 922, 2620, 3162, 4087, 267, 8244, 540, 4195, 1216, 267, 543, 922, 16133, 547, 519, 3162, 13523, 21805, 630, 291, 32713, 476, 31620, 264, 29277, 13756, 4438, 634, 6406, 2782, 4828, 476, 5197, 276, 9293, 476, 279, 9664, 29277, 2853, 3323, 547, 1831, 811, 1455, 538, 519, 5900, 778, 1763, 2541, 2060, 19478, 2136, 2276, 1739, 519, 3540, 2112, 538, 476, 5908, 276, 267, 538, 519, 1106, 540, 1210, 3105, 10437, 547, 960, 519, 3338, 267, 16116, 26181, 976, 267, 543, 811, 609, 513, 9153, 547, 8007, 873, 609, 606, 28971, 8843, 602, 568, 3592, 711, 4502, 621, 2782, 14474, 6406, 4828, 2398, 11143, 269, 634, 4339, 1063, 634, 8832, 543, 8828, 2276, 540, 3013, 16768, 2394, 476, 5908, 276, 269, 3807, 607, 513, 26956, 1131, 1491, 519, 29412, 4161, 538, 968, 29589, 532, 519, 21120, 892, 547, 3801, 9101, 267, 9061, 532, 519, 16458, 6050, 22613, 1346, 6302, 540, 2025, 14172, 676, 2921, 593, 12050, 7341, 609, 1007, 16097, 267, 11423, 513, 20704, 538, 519, 1699, 14172, 540, 6406, 2782, 7890, 2351, 25086, 267, 799, 269, 1703, 568, 267, 5310, 267, 1100, 1641, 4448, 609, 519, 3735, 2112, 799, 811, 6650, 8271, 7569, 4901, 693, 938, 3946, 982, 519, 29277, 7726, 269, 6546, 519, 20752, 6554, 1058, 723, 1044, 9901, 538, 519, 3002, 540, 519, 18653, 540, 519, 2112, 609, 513, 9836, 28877, 26612, 10738, 891, 2123, 3594, 689, 1004, 945, 3576, 851, 538, 519, 2083, 2719, 540, 634, 10476, 2782, 267, 616, 4245, 827, 1018, 5949, 267, 1018, 621, 26612, 634, 6406, 2782, 5795, 519, 2021, 519, 4960, 547, 6961, 547, 2933, 543, 1866, 602, 789, 1223, 948, 856, 543, 711, 1175, 1796, 676, 7996, 585, 741, 2367, 269, 630, 24961, 11314, 267, 5403, 15258, 5851, 264, 7689, 12866, 13478, 1460, 4147, 7435, 8083, 4147, 11872, 13445, 281, 634, 2782, 661, 2738, 4149, 615, 2006, 779, 4728, 547, 519, 7256, 267, 11192, 2782, 267, 5080, 19810, 693, 2561, 558, 16201, 343, 7040, 5600, 4828, 1603, 3028, 547, 519, 15063, 269, 654, 332, 269, 661, 563, 12024, 7890, 1949, 2429, 519, 3162, 267, 7147, 779, 8057, 2047, 856, 540, 8474, 269, 1306, 4166, 607, 707, 1931, 568, 2944, 267, 596, 786, 1205, 606, 590, 5960, 31015, 26655, 596, 602, 707, 2688, 13402, 6780, 269, 901, 568, 1152, 513, 2110, 1592, 540, 6406, 2782, 30813, 269, 16952, 3594, 543, 824, 1603, 786, 581, 3773, 269, 968, 9617, 607, 840, 4211, 2753, 2782, 7924, 536, 753, 10419, 18050, 519, 9872, 540, 8474, 269, 1358, 4312, 11821, 5261, 31928, 1088, 339, 710, 781, 476, 4350, 271, 6406, 2782, 2398, 11143, 281, 589, 5530, 538, 2782, 10017, 609, 519, 28489, 4015, 540, 3594, 12995, 676, 5261, 645, 269, 4639, 1636, 267, 11632, 281, 16217, 1122, 518, 267, 476, 1220, 277, 269, 4438, 519, 2112, 3109, 7980, 689, 519, 5742, 941, 5701, 1360, 14605, 543, 3006, 23689, 267, 3079, 540, 1818, 873, 14586, 540, 2112, 476, 280, 3817, 476, 15793, 476, 272, 2904, 270, 1220, 275, 476, 274, 269, 276, 269, 13660, 4425, 529, 267, 634, 32532, 2762, 540, 654, 269, 3281, 6150, 676, 4860, 269, 0, 8624, 23888, 2974, 476, 1724, 4828, 454, 18183, 12787, 538, 1977, 3778, 269, 634, 1004, 538, 519, 476, 1724, 10125, 1185, 741, 1378, 3909, 543, 5837, 4978, 269, 769, 2516, 267, 519, 1053, 1223, 1711, 513, 1379, 1448, 6881, 540, 835, 540, 519, 1292, 476, 276, 10125, 269, 898, 729, 513, 4182, 540, 476, 1724, 2477, 269, 962, 518, 331, 1731, 6673, 2475, 3778, 476, 5881, 270, 6349, 270, 1724, 20212, 1063, 519, 8832, 543, 8828, 16690, 625, 5637, 519, 5087, 10125, 543, 519, 5045, 10125, 7902, 607, 1498, 789, 1522, 581, 519, 1482, 269, 5131, 476, 1015, 628, 6103, 10749, 269, 6969, 519, 2112, 8694, 267, 519, 10125, 1185, 2919, 519, 15080, 540, 32700, 267, 513, 1544, 547, 960, 1927, 607, 835, 4182, 267, 855, 519, 4296, 1851, 519, 476, 1724, 2829, 941, 10690, 269, 9338, 300, 4696, 2894, 282, 7186, 769, 3203, 4828, 282, 623, 7709, 4488, 302, 570, 3198, 16775, 282, 8861, 18412, 7442, 10334, 10749, 282, 17266, 18248, 7170, 901, 568, 513, 2582, 5816, 1309, 1632, 269, 9947, 476, 4905, 267, 476, 1708, 271, 5788, 9453, 519, 476, 1724, 10125, 972, 1131, 581, 1100, 6673, 10378, 2136, 2276, 3778, 269, 2353, 5686, 540, 17631, 3357, 547, 3013, 547, 1376, 513, 1007, 3184, 538, 741, 2729, 269, 19797, 2494, 28685, 334, 4828, 19080, 454, 32487, 2201, 8422, 654, 8460, 8779, 6979, 454, 276, 3817, 269, 4119, 476, 2641, 267, 476, 1001, 279, 5788, 12937, 269, 1703, 779, 1100, 991, 547, 979, 883, 3978, 1469, 267, 1175, 2285, 803, 513, 2489, 7291, 476, 1724, 16690, 625, 3194, 4828, 4828, 12726, 634, 476, 1724, 10125, 941, 589, 328, 537, 25849, 906, 29485, 4201, 4379, 476, 1001, 276, 645, 3798, 8547, 676, 4789, 1282, 519, 476, 8182, 271, 779, 910, 10204, 271, 779, 269, 476, 280, 267, 476, 10082, 277, 2368, 540, 519, 1557, 779, 2236, 2084, 666, 581, 1336, 538, 519, 12591, 540, 16962, 269, 23520, 11867, 966, 2136, 2276, 8865, 12834, 269, 4239, 476, 1321, 267, 476, 1001, 276, 5788, 634, 3312, 476, 1724, 10125, 941, 2813, 1472, 519, 476, 1626, 628, 2540, 269, 634, 1715, 4789, 3148, 267, 5664, 3148, 267, 543, 519, 8828, 3148, 616, 519, 4025, 602, 1118, 909, 26612, 5213, 566, 568, 17319, 570, 612, 320, 22823, 6004, 269, 634, 28841, 1143, 540, 519, 2136, 2276, 540, 3013, 269, 901, 12402, 729, 10917, 1229, 676, 519, 1249, 602, 519, 476, 1724, 10125, 941, 4376, 855, 2147, 538, 741, 2804, 19773, 269, 634, 15815, 15317, 338, 543, 519, 5590, 25557, 540, 519, 7216, 1977, 16690, 625, 4828, 910, 634, 15815, 15317, 338, 543, 519, 5590, 25557, 540, 519, 7216, 1977, 16690, 625, 1879, 519, 1007, 1158, 729, 4362, 267, 519, 1004, 945, 941, 547, 1101, 7017, 972, 941, 9277, 547, 3035, 21239, 267, 3484, 1633, 267, 543, 513, 1732, 1272, 9947, 476, 6734, 267, 476, 1708, 271, 5788, 16690, 625, 4828, 2334, 713, 1401, 1636, 532, 540, 21634, 976, 547, 519, 16690, 625, 267, 949, 581, 2015, 8910, 607, 513, 11780, 267, 607, 1134, 607, 538, 519, 8752, 540, 513, 674, 822, 712, 269, 3776, 1957, 5830, 616, 2111, 547, 948, 596, 609, 782, 5686, 540, 3594, 267, 1519, 3498, 3594, 267, 10388, 3594, 267, 543, 865, 593, 9947, 476, 4905, 267, 476, 1708, 271, 5788, 9453, 519, 476, 1724, 10125, 972, 1131, 581, 1100, 6673, 10378, 2136, 2276, 3778, 563, 763, 15122, 4828, 2201, 2817, 1143, 769, 3624, 454, 25324, 24070, 4828, 7151, 11020, 569, 21909, 539, 3367, 902, 281, 476, 272, 264, 3848, 476, 275, 540, 21001, 2193, 540, 3013, 2707, 1504, 270, 3667, 269, 1717, 267, 1866, 1705, 2119, 547, 28958, 1852, 540, 519, 10125, 1896, 2053, 267, 971, 607, 1282, 519, 3943, 543, 4095, 2782, 634, 1715, 4789, 267, 8828, 543, 5664, 16690, 625, 31603, 7756, 569, 3013, 729, 513, 1747, 585, 9909, 543, 1007, 20297, 267, 2394, 968, 19009, 892, 1004, 8452, 538, 476, 8182, 278, 269, 4455, 476, 6734, 267, 476, 1001, 280, 5788, 634, 476, 1724, 10125, 5030, 1114, 2729, 689, 835, 1776, 269, 3013, 538, 476, 14341, 271, 268, 10204, 271, 610, 20616, 3013, 568, 4904, 609, 1272, 543, 4763, 2390, 519, 2242, 621, 814, 1044, 7444, 6220, 538, 741, 2486, 609, 519, 3864, 13896, 945, 723, 28953, 547, 519, 2197, 543, 6608, 19101, 10125, 26612, 3414, 519, 3395, 540, 10269, 543, 519, 7694, 540, 267, 693, 1101, 267, 7111, 4892, 267, 4553, 676, 25034, 3293, 22063, 267, 543, 1287, 10437, 267, 519, 9098, 21152, 7307, 547, 5150, 513, 4396, 1514, 543, 2804, 1062, 602, 1131, 5555, 1118, 9098, 835, 540, 519, 1034, 1271, 3345, 1977, 10125, 7325, 476, 1556, 267, 476, 1708, 271, 5788, 13555, 2974, 282, 16890, 269, 3371, 568, 513, 1592, 540, 4162, 547, 2015, 950, 9236, 519, 10125, 281, 4128, 585, 15713, 519, 10125, 2804, 2238, 538, 519, 10125, 630, 698, 3472, 675, 267, 2872, 264, 11776, 543, 11175, 3270, 3909, 2516, 543, 3909, 5191, 4205, 1063, 7111, 269, 634, 28841, 1143, 540, 519, 2136, 2276, 540, 3013, 269, 21624, 12700, 6902, 2290, 540, 519, 3312, 476, 1724, 10125, 267, 3345, 10491, 729, 519, 1101, 1533, 547, 4051, 922, 30896, 547, 8917, 585, 7115, 689, 519, 3703, 13862, 1282, 519, 25550, 9950, 778, 3296, 2919, 741, 1378, 22237, 267, 1514, 267, 543, 2797, 1949, 269, 476, 277, 2698, 2164, 269, 1323, 4985, 547, 519, 3778, 540, 519, 21829, 2782, 538, 519, 2136, 2276, 476, 4649, 275, 1913, 269, 4014, 519, 3703, 6417, 519, 476, 1724, 10125, 593, 519, 7532, 5032, 267, 519, 3943, 3576, 1852, 540, 4516, 267, 799, 568, 1946, 621, 568, 711, 851, 540, 3013, 2221, 6969, 476, 12293, 276, 267, 3013, 5433, 513, 4743, 540, 21047, 609, 12057, 563, 5938, 7697, 5358, 4828, 269, 3776, 4966, 786, 1491, 593, 4305, 476, 1724, 16690, 625, 14424, 1656, 25037, 4828, 269, 3962, 3148, 666, 581, 6353, 1759, 593, 922, 11585, 267, 2916, 267, 4346, 543, 2528, 269, 634, 21152, 540, 891, 1114, 10125, 12479, 547, 1265, 1114, 1919, 538, 519, 968, 6124, 2622, 1848, 2368, 8179, 2804, 3255, 1247, 1866, 2451, 4789, 585, 2797, 610, 3909, 4128, 269, 5020, 538, 519, 476, 1724, 1977, 16690, 625, 634, 7810, 1974, 540, 3013, 3459, 538, 519, 476, 1704, 628, 2540, 269, 7956, 11619, 1645, 4828, 269, 25529, 609, 713, 10700, 6673, 10378, 2475, 3778, 3391, 547, 519, 476, 1724, 10125, 543, 649, 3580, 1205, 596, 602, 1454, 6251, 547, 15980, 513, 476, 276, 593, 707, 981, 256, 2136, 8003, 4828, 269, 3509, 540, 519, 1101, 13896, 538, 519, 3345, 3013, 3357, 689, 4789, 267, 789, 3357, 585, 269, 1519, 519, 10763, 1344, 596, 3580, 991, 547, 917, 585, 519, 1557, 1603, 6810, 540, 519, 6673, 4785, 295, 981, 269, 536, 563, 268, 13332, 20895, 1280, 589, 14424, 1656, 25037, 4828, 22276, 454, 268, 1323, 4828, 2201, 19151, 1656, 19201, 781, 11146, 454, 268, 4828, 769, 16130, 2201, 21582, 0, 6546, 4386, 950, 28522, 4445, 729, 17178, 519, 7387, 543, 729, 17543, 23689, 676, 519, 2035, 11319, 7725, 2390, 1864, 563, 24078, 519, 5168, 540, 938, 2079, 14764, 538, 513, 2780, 1259, 607, 547, 17997, 513, 5339, 1158, 610, 5339, 6249, 269, 634, 5730, 585, 3257, 865, 568, 602, 15872, 2141, 723, 547, 2196, 513, 1804, 1297, 540, 5339, 12139, 4574, 563, 2710, 596, 1294, 519, 1034, 540, 3197, 269, 5637, 28522, 4445, 543, 4024, 946, 519, 598, 577, 7387, 607, 513, 5339, 1022, 942, 789, 2285, 602, 741, 2306, 31183, 10340, 568, 4143, 6306, 267, 538, 606, 4674, 547, 22937, 519, 8695, 563, 2414, 1118, 519, 3014, 1174, 543, 3992, 547, 519, 3332, 543, 1018, 4010, 568, 1044, 9916, 269, 1879, 519, 6386, 8917, 585, 513, 2556, 267, 789, 608, 8010, 269, 5620, 1022, 946, 540, 519, 1101, 17203, 563, 763, 2079, 610, 2623, 3948, 568, 1018, 596, 786, 588, 604, 548, 538, 707, 1557, 267, 543, 621, 1058, 1413, 693, 519, 1439, 540, 707, 1272, 5037, 563, 18704, 2334, 9137, 8493, 6511, 267, 4993, 19534, 594, 6415, 513, 5816, 3455, 543, 3159, 593, 513, 2013, 1353, 540, 519, 28622, 540, 960, 543, 7862, 269, 2991, 10872, 707, 960, 2322, 621, 8806, 585, 930, 942, 543, 1205, 1394, 547, 621, 585, 519, 5098, 269, 22716, 1125, 835, 2101, 4661, 829, 5037, 538, 713, 3296, 563, 763, 16721, 1563, 1145, 540, 519, 26425, 538, 7083, 540, 519, 11524, 269, 1717, 267, 2348, 513, 1434, 1544, 596, 666, 2328, 519, 1184, 4443, 543, 811, 1187, 269, 589, 733, 337, 1882, 1560, 786, 723, 693, 2547, 1614, 547, 2185, 3515, 610, 811, 563, 2171, 723, 1152, 4143, 5777, 585, 596, 267, 543, 649, 2832, 513, 2298, 3028, 269, 634, 16994, 1259, 547, 1205, 3323, 568, 676, 23630, 3054, 31235, 609, 519, 20468, 16166, 281, 1452, 1614, 9433, 948, 519, 1557, 5856, 1448, 856, 513, 556, 24593, 2590, 12902, 538, 519, 1257, 267, 2491, 1946, 621, 568 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 596, 1282, 7260, 3781, 2336, 274, 269, 2878, 4504, 3485, 775, 543, 7591, 6888, 5093, 16259, 3054, 585, 11995, 9913, 2094, 13961, 1868, 324, 7314, 7584, 1164, 593, 4987, 10253, 269, 2060, 8325, 8186, 2501, 3808, 1652, 7279, 543, 1648, 269, 21673, 3108, 540, 1187, 8384, 873, 4137, 856, 13410, 610, 4730, 30321, 269, 8786, 267, 596, 1224, 602, 1318, 910, 30321, 256, 3509, 13961, 1868, 324, 740, 648, 3756, 5473, 9162, 267, 11084, 267, 610, 8955, 31452, 563, 275, 269, 2878, 3849, 2194, 1464, 5093, 2755, 13961, 1868, 324, 7314, 8853, 538, 3742, 10820, 1141, 789, 4309, 7899, 540, 5872, 267, 789, 666, 4188, 21230, 1134, 547, 26982, 2678, 2713, 2175, 1932, 269, 1717, 267, 3314, 602, 6028, 873, 4805, 585, 1279, 5712, 1223, 1291, 547, 30627, 543, 1761, 3765, 27815, 269, 898, 781, 1898, 547, 1832, 891, 1914, 762, 7919, 7722, 609, 7317, 9162, 610, 2834, 2638, 15564, 2429, 519, 1554, 780, 1262, 13706, 725, 6969, 22685, 1154, 16001, 6524, 14045, 2436, 513, 13961, 1868, 324, 3032, 13352, 9985, 883, 707, 1920, 267, 1934, 616, 930, 2188, 4502, 14719, 908, 1384, 272, 269, 966, 5914, 1436, 281, 1306, 5018, 4505, 267, 13961, 1868, 324, 7314, 5968, 16175, 1210, 4992, 269, 9282, 1439, 8960, 7620, 267, 3586, 669, 2660, 1522, 1831, 11566, 585, 1769, 3207, 619, 610, 1004, 23493, 538, 6306, 906, 609, 7453, 6846, 6042, 563, 273, 269, 717, 3336, 532, 20126, 281, 6736, 2348, 2110, 25151, 267, 13961, 1868, 324, 7314, 8774, 26815, 1032, 15778, 269, 8617, 25462, 7886, 948, 7413, 4552, 27750, 543, 2226, 22619, 1465, 1472, 519, 2777, 780, 2414, 2040, 909, 267, 13961, 1868, 324, 7314, 2709, 22023, 626, 1043, 19259, 7064, 547, 741, 3982, 5654, 543, 7874, 8741, 1431, 269, 1635, 1620, 741, 2115, 543, 28031, 802, 267, 596, 3513, 2327, 10103, 1063, 3425, 543, 24566, 2828, 7567, 269, 5808, 6487, 286, 9320, 1310, 2542, 713, 3184, 267, 513, 17681, 13961, 1868, 324, 13959, 19179, 1080, 596, 538, 707, 2104, 9035, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2252, 596, 2461, 3168, 585, 513, 3032, 602, 779, 2703, 850, 267, 15754, 622, 267, 10995, 267, 543, 814, 513, 4190, 10359, 267, 519, 22615, 18885, 13961, 1868, 324, 3575, 949, 581, 513, 1434, 3903, 563, 5445, 616, 849, 1360, 13047, 7314, 543, 786, 1577, 596, 917, 950, 789, 1616, 707, 3007, 269, 901, 9742, 568, 513, 1434, 3903, 585, 3885, 609, 1453, 267, 607, 789, 4043, 547, 798, 1134, 609, 3214, 563, 3719, 1354, 596, 3479, 267, 621, 568, 1271, 547, 2015, 782, 540, 519, 5294, 543, 931, 540, 26539, 513, 22615, 18885, 13961, 1868, 324, 3575, 563, 1103, 713, 2022, 267, 649, 786, 1865, 930, 540, 519, 1034, 1271, 1919, 547, 1589, 827, 1354, 8744, 1753, 835, 540, 891, 7314, 563, 1432, 1772, 589, 22615, 18885, 13961, 1868, 324, 17186, 1656, 1548, 3657, 4256, 18567, 888, 2026, 519, 2012, 5267, 267, 22615, 18885, 13961, 1868, 324, 30012, 616, 26870, 689, 513, 22615, 18885, 543, 513, 13961, 1868, 324, 3032, 269, 1358, 267, 4061, 267, 723, 519, 1655, 4162, 540, 1312, 14981, 269, 1358, 616, 1360, 4190, 267, 15754, 622, 267, 10995, 267, 543, 22488, 7314, 563, 17954, 5338, 4441, 585, 713, 3575, 616, 711, 2943, 3964, 267, 865, 596, 949, 1265, 513, 2647, 3099, 540, 7314, 602, 616, 1572, 22615, 18885, 13961, 1868, 324, 30012, 563, 5445, 3622, 723, 513, 536, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 31333, 1868, 324, 9697, 6601, 539, 18567, 257, 607, 851, 540, 834, 14154, 4811, 1315, 19949, 1315, 6601, 2644, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 7705, 281, 19850, 7585, 256, 5620, 596, 2479, 4862, 827, 519, 19384, 7276, 2496, 7692, 281, 3143, 267, 594, 10093, 1405, 269, 1548, 729, 621, 2496, 8334, 281, 4270, 267, 621, 729, 513, 21257, 602, 12199, 8478, 689, 476, 9264, 273, 2394, 476, 6642, 280, 269, 898, 3323, 950, 14890, 31883, 594, 10294, 7115, 689, 17577, 780, 7692, 281, 7937, 267, 899, 950, 649, 4956, 547, 723, 938, 1378, 21097, 1796, 3079, 540, 11836, 938, 2828, 262, 23739, 9042, 286, 1284, 4941, 547, 798, 1945, 1114, 543, 3576, 5279, 540, 938, 1378, 1788, 780, 8334, 281, 22549, 256, 3807, 899, 596, 543, 707, 21097, 1796, 267, 14890, 31883, 594, 4718, 606, 4316, 543, 1500, 513, 3375, 1759, 593, 1018, 646, 2219, 1131, 4324, 1010, 2197, 269, 3767, 267, 1282, 713, 942, 267, 972, 941, 1082, 2242, 8345, 538, 8478, 267, 971, 607, 1007, 4031, 1373, 8045, 543, 5989, 1646, 780, 7692, 281, 2334, 4992, 5432, 1932, 256, 6145, 950, 649, 2813, 3652, 585, 938, 21097, 1796, 543, 3710, 938, 1796, 1927, 780, 8334, 281, 8786, 256, 1656, 1175, 899, 721, 267, 789, 5185, 2591, 2059, 519, 1259, 269, 1358, 1185, 547, 3666, 741, 2200, 1247, 4509, 1434, 1894, 609, 824, 2477, 269, 1403, 789, 4769, 1405, 6023, 1919, 20617, 267, 972, 1223, 581, 4539, 7133, 3025, 3238, 780, 7692, 281, 1924, 267, 1705, 3388, 979, 1134, 585, 519, 19384, 7276, 2496, 8334, 281, 3502, 2141, 269, 6884, 267, 789, 17388, 1813, 547, 2797, 22195, 610, 2883, 2152, 269, 16828, 267, 1310, 476, 6858, 1296, 267, 519, 10504, 8694, 543, 8478, 2968, 513, 14081, 269, 1809, 1256, 1498, 519, 1062, 4957, 267, 519, 4245, 4121, 5280, 3337, 519, 2104, 540, 741, 4182, 780, 7692, 281, 9877, 320, 899, 875, 649, 1451, 689, 938, 9073, 543, 18454, 609, 938, 21097, 1796, 269, 9320, 14693, 649, 666, 2671, 1346, 2833, 547, 948, 1866, 1376, 741, 4213, 780, 8334, 281, 25999, 256, 1635, 1565, 689, 1686, 267, 899, 519, 19384, 7276, 267, 543, 7311, 621, 547, 938, 3232, 2729, 267, 649, 666, 1118, 1732, 5079, 543, 1332, 1312, 14350, 543, 15217, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 305, 1695, 592, 631, 603, 531, 568, 1305, 547, 581, 519, 1985, 30626, 1299, 19737, 10615, 630, 290, 13270, 264, 540, 681, 3951, 2464, 13456, 454, 25387, 2324, 607, 10615, 630, 19061, 338, 1299, 7896, 264, 609, 12164, 290, 3036, 267, 631, 603, 531, 814, 1044, 5227, 676, 513, 623, 2464, 289, 8470, 454, 6124, 16156, 281, 31670, 592, 631, 603, 531, 568, 1305, 547, 581, 519, 1985, 30626, 1299, 19737, 10615, 630, 290, 13270, 264, 540, 681, 3951, 2464, 17290, 267, 513, 3687, 597, 520, 3534, 13662, 308, 896, 519, 12080, 540, 12565, 1811, 269, 631, 603, 531, 814, 1044, 5227, 585, 681, 3951, 2464, 262, 595, 13270, 2022, 676, 513, 5398, 9373, 1440, 2478, 19139, 8274, 630, 303, 2464, 289, 264, 8470, 593, 11016, 269, 1261, 568, 4867, 7674, 607, 10615, 630, 19061, 338, 1299, 7896, 264, 540, 29597, 518, 15278, 540, 3127, 17290, 630, 25321, 290, 3036, 1040, 3465, 1836, 267, 14076, 2465, 341, 2725, 327, 8527, 571, 568, 7674, 607, 595, 13270, 540, 681, 3951, 2464, 17290, 269, 2725, 327, 8527, 571, 568, 2469, 547, 2706, 2335, 10663, 593, 4873, 476, 1789, 563, 300, 603, 531, 814, 1044, 5227, 585, 519, 2022, 540, 595, 13270, 540, 681, 3951, 2464, 17290, 689, 519, 1592, 540, 8370, 10457, 267, 945, 941, 26906, 676, 519, 5542, 8470, 269, 4934, 540, 8370, 10457, 267, 1614, 10457, 941, 689, 681, 3951, 2464, 17290, 267, 1079, 10457, 689, 12164, 290, 3036, 543, 835, 11134, 1142, 689, 23951, 16988, 24020, 15278, 13456, 269, 630, 298, 305, 12710, 1070, 12565, 23819, 553, 715, 580, 600, 13456, 269, 630, 305, 309, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 24154, 7588, 1014, 7276, 630, 9264, 273, 268, 6642, 280, 17983, 607, 851, 540, 834, 19615, 1315, 5824, 3013, 1315, 3162, 3013, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269, 0, 4495, 2390, 513, 942, 267, 538, 513, 1507, 28180, 4884, 267, 972, 729, 606, 936, 2763, 531, 748, 2385, 3957, 8861, 945, 6068, 1200, 5067, 267, 25455, 267, 811, 982, 4376, 269, 8861, 1185, 2141, 1044, 5393, 3238, 538, 25455, 781, 2069, 267, 24749, 693, 1010, 1153, 267, 11504, 1169, 623, 14011, 5870, 267, 543, 4180, 646, 6192, 782, 1010, 6780, 269, 2701, 5156, 602, 3586, 19015, 1131, 948, 1864, 3914, 3152, 15627, 27268, 269, 8528, 27880, 3323, 1210, 1585, 2553, 547, 5000, 25455, 282, 1352, 4904, 741, 1753, 609, 14751, 725, 267, 6035, 12587, 585, 1434, 9344, 267, 543, 10355, 4847, 1864, 547, 6108, 942, 3257, 2238, 602, 941, 711, 3872, 269, 2311, 1101, 267, 25455, 4278, 1882, 896, 713, 1007, 1062, 1765, 20130, 9344, 4824, 267, 543, 646, 8604, 18668, 269, 1809, 4166, 2614, 267, 1919, 3576, 513, 2490, 585, 519, 8338, 780, 3080, 1554, 267, 1310, 8391, 1776, 8366, 585, 3501, 8464, 267, 25455, 13264, 1524, 538, 17229, 269, 1261, 21334, 539, 547, 1010, 3993, 602, 519, 3586, 17192, 543, 1164, 6788, 1500, 1864, 1745, 14221, 543, 16397, 269, 3427, 267, 2899, 513, 1747, 540, 7772, 543, 1565, 267, 1631, 5433, 899, 513, 6370, 3033, 1141, 646, 2877, 547, 6961, 5128, 1169, 2582, 1554, 269, 8528, 4537, 18088, 676, 1200, 5067, 781, 13414, 267, 8861, 3459, 15388, 519, 1764, 540, 7050, 19015, 269, 2334, 781, 950, 1352, 4362, 519, 1761, 2942, 4539, 5532, 547, 922, 21568, 910, 936, 10276, 322, 5971, 618, 267, 32601, 6788, 267, 21341, 267, 543, 6528, 640, 269, 8528, 30342, 16944, 827, 11319, 1932, 2182, 267, 8861, 4956, 547, 1689, 1200, 1935, 269, 5502, 540, 17643, 532, 25455, 609, 1875, 17380, 934, 565, 3547, 267, 1352, 17146, 2509, 3246, 7059, 5955, 267, 14344, 1312, 1010, 18454, 543, 2127, 585, 6454, 269, 1358, 1305, 10853, 3853, 1927, 267, 2519, 593, 3356, 2864, 982, 19870, 269, 20405, 569, 855, 15983, 267, 25455, 1036, 7134, 1010, 2648, 585, 1565, 543, 1010, 2566, 2157, 8519, 3648, 780, 4913, 267, 1282, 713, 7004, 267, 8861, 8068, 1945, 8966, 8345, 1369, 519, 1153, 2146, 269, 2368, 3237, 7550, 1200, 2025, 2409, 267, 23344, 1510, 1620, 519, 2956, 540, 3666, 269, 1452, 1134, 10784, 1549, 539, 2943, 2192, 26455, 3237, 2813, 606, 1604, 1141, 1453, 2841, 539, 18979, 569, 585, 6284, 543, 17192, 267, 4611, 538, 2799, 11648, 543, 32533, 13685, 10838, 1053, 20678, 547, 856, 704, 845, 1142, 824, 780, 28319, 770, 730, 676, 1018, 1352, 14754, 267, 8861, 7691, 602, 1256, 1498, 1352, 7307, 547, 2953, 1200, 2081, 267, 1866, 4797, 1524, 513, 2619, 3056, 547, 5732, 5739, 4093, 269, 6736, 519, 3355, 1394, 31988, 689, 1346, 945, 2219, 1352, 729, 1373, 2571, 267, 8861, 2968, 606, 12167, 585, 13533, 19015, 267, 4687, 1200, 1650, 543, 4030, 609, 4896, 945, 1131, 6432, 269, 16828, 267, 998, 10770, 3646, 267, 1352, 5280, 6521, 519, 2528, 693, 25455, 781, 1153, 2509, 835, 10704, 1472, 9758, 1489, 267, 6568, 267, 543, 2208, 269, 0, 2237, 513, 1650, 538, 519, 2511, 540, 1483, 3734, 3871, 602, 1004, 2671, 538, 15473, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 912, 2108, 6701, 972, 1022, 1761, 2942, 2360, 2404, 609, 519, 946, 540, 19015, 607, 513, 1907, 585, 5355, 4081, 2773, 538, 1053, 888, 2026, 606, 3642, 1893, 2203, 267, 594, 798, 711, 723, 2123, 8369, 610, 4978, 267, 855, 594, 666, 1683, 1344, 780, 1103, 2489, 267, 19015, 568, 513, 2318, 1907, 585, 5355, 4081, 2773, 538, 1053, 269, 1717, 267, 972, 949, 581, 1761, 2942, 2360 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9102, 267, 855, 891, 2483, 274, 5937, 3337, 11601, 1210, 1216, 12761, 607, 519, 3337, 9300, 585, 519, 16646, 540, 1950, 3615, 454, 288, 2518, 2319, 540, 2780, 3744, 543, 8030, 723, 2919, 606, 5499, 4480, 602, 811, 4625, 18949, 338, 4101, 476, 274, 291, 3615, 269, 1323, 3504, 2483, 24357, 27913, 723, 2919, 513, 1007, 4480, 602, 3096, 5122, 28696, 547, 1852, 519, 6475, 8095, 593, 513, 13863, 269, 634, 9241, 31465, 1505, 2488, 4027, 689, 8095, 9178, 267, 2495, 602, 519, 8659, 1344, 666, 581, 9738, 543, 10299, 936, 26483, 1804, 9883, 267, 607, 814, 1044, 7152, 676, 513, 2319, 689, 519, 2160, 540, 30239, 779, 4972, 540, 8212, 543, 519, 18230, 15089, 657, 7220, 4659, 269, 634, 2164, 723, 1044, 3370, 538, 8447, 5623, 2473, 563, 2690, 1896, 1296, 267, 3173, 723, 1044, 3843, 547, 946, 519, 8095, 540, 606, 6475, 547, 4558, 543, 10141, 1344, 269, 634, 8095, 540, 1142, 6475, 568, 2141, 13745, 2483, 2918, 269, 5881, 269, 1001, 278, 1923, 7926, 5240, 454, 2641, 269, 5881, 269, 1001, 278, 1923, 7926, 5240, 454, 866, 269, 5881, 269, 1001, 278, 1923, 7926, 5240, 454, 2767, 269, 5881, 269, 1001, 278, 1923, 5020, 7070, 454, 2767, 269, 5881, 269, 1001, 278, 1923, 5020, 7070, 454, 2767, 269, 5881, 269, 1001, 278, 1923, 2657, 543, 6925, 0, 14722, 723, 4362, 602, 2799, 2157, 540, 5836, 23639, 543, 3327, 8166, 9830, 723, 8507, 538, 6397, 2242, 538, 30173, 3114, 3157, 269, 4256, 1382, 2164, 616, 3370, 538, 519, 4728, 476, 278, 267, 476, 1220, 278, 267, 3390, 540, 519, 4760, 2983, 26491, 3194, 16707, 563, 30469, 1853, 30733, 10938, 540, 1715, 6792, 15306, 543, 1010, 9164, 5342, 513, 3923, 17489, 2361, 4603, 269, 634, 3173, 20533, 1459, 6377, 3327, 8166, 9830, 543, 5836, 23639, 267, 543, 3327, 8166, 2157, 4397, 693, 519, 1439, 540, 713, 2540, 543, 519, 1647, 540, 519, 1985, 835, 269, 634, 1353, 267, 14102, 676, 519, 2817, 3163, 7690, 630, 10064, 293, 1070, 1715, 6792, 15306, 543, 519, 1290, 518, 7690, 267, 24259, 1769, 593, 875, 3114, 3157, 602, 2049, 2429, 519, 1158, 781, 12084, 948, 10038, 3047, 781, 2916, 563, 8448, 2487, 3621, 2090, 723, 3254, 602, 5836, 23639, 568, 8375, 476, 1911, 2053, 5488, 982, 2479, 1354, 267, 30733, 10938, 1767, 267, 855, 713, 1353, 6402, 519, 1198, 540, 2810, 5836, 23639, 547, 2242, 538, 20239, 25762, 267, 799, 2933, 3132, 834, 13582, 5264, 9362, 4799, 257, 303, 1258, 6407, 2242, 538, 930, 20239, 25762, 723, 1044, 4767, 1282, 3105, 6901, 2437, 1767, 30733, 10938, 269, 834, 763, 4539, 585, 7286, 7103, 267, 741, 8134, 543, 2916, 3146, 10589, 9362, 616, 7164, 4799, 7628, 519, 1353, 267, 9830, 540, 3897, 14007, 30423, 630, 291, 5960, 264, 543, 8392, 334, 1675, 558, 996, 2033, 267, 3812, 676, 20239, 25762, 538, 5836, 1216, 267, 941, 6027, 563, 24281, 519, 5790, 267, 667, 5960, 568, 6385, 12444, 1242, 547, 16247, 8166, 267, 799, 666, 1106, 23253, 20851, 11169, 538, 519, 5790, 2437, 1767, 30733, 10938, 269, 1452, 20851, 11169, 666, 957, 607, 22140, 585, 6531, 5250, 269, 16842, 6531, 1465, 1223, 3625, 7943, 267, 7551, 9023, 3047, 269, 834, 11997, 267, 3606, 667, 5960, 2504, 538, 513, 2362, 3327, 8166, 1604, 949, 948, 3565, 547, 1582, 30625, 540, 3047, 781, 2916, 4799, 10454, 5377, 1899, 568, 602, 3327, 8166, 2000, 1933, 532, 540, 519, 5790, 1223, 1291, 547, 2825, 2242, 649, 723, 711, 1256, 13175, 547, 1589, 827, 267, 2360, 3564, 3679, 2305, 540, 2627, 26869, 543, 8511, 8337, 2437, 1767, 18496, 19676, 267, 8689, 540, 22085, 293, 781, 11906, 7909, 2762, 5358, 563, 23382, 1456, 2104, 8097, 543, 9781, 3646, 786, 1291, 547, 513, 1732, 1620, 540, 519, 5955, 1949, 1063, 519, 5790, 543, 5836, 267, 11099, 30733, 10938, 269, 834, 2414, 3589, 2104, 2916, 811, 8308, 267, 621, 781, 2565, 602, 649, 1174, 519, 6364, 540, 2810, 5836, 3679, 2305, 543, 2810, 3327, 8166, 2157, 4799, 290, 615, 2643, 29325, 21353, 1923, 31823, 2336, 25284, 2719, 2281, 609, 2780, 6438, 7954, 454, 2767, 269, 5881, 269, 1001, 278, 1923, 654, 903, 338, 4659, 585, 4437, 10999, 27837, 7177, 693, 12370, 454, 15275, 1881, 519, 5057, 602, 2636, 513, 24037, 4551, 547, 3262, 4187, 547, 11216, 454, 2767, 269, 5881, 269, 1001, 278, 1923, 4659, 585, 3194, 538, 29119, 14037, 710, 630, 7644, 289, 30209, 994, 24357, 27913, 2324, 609, 11001, 18112, 565, 7931, 3266, 268, 3674, 691, 25282, 513, 1007, 2241, 10325, 547, 27985, 5352, 11737, 337, 3320, 2110, 543, 5059, 13590, 4610, 269, 901, 1007, 1907, 1223, 581, 1031, 585, 5730, 15392, 543, 538, 22794, 563, 31466, 992, 2314, 267, 3002, 5982, 267, 1769, 543, 2473, 268, 2784, 2747, 616, 1806, 585, 13590, 6329, 269, 3509, 3156, 2154, 547, 1445, 519, 13590, 4610, 547, 2483, 1805, 3994, 1769, 2173, 2660, 23993, 538, 891, 15373, 532, 13740, 949, 3180, 519, 1883, 547, 30788, 29253, 22795, 454, 23409, 2173, 2660, 29610, 12268, 2873, 666, 581, 6383, 30788, 538, 15373, 532, 3327, 31407, 25683, 269, 7698, 3744, 543, 21575, 689, 1261, 14988, 6199, 2160, 2483, 293, 571, 27541, 594, 5183, 814, 2919, 513, 16133, 9300, 1500, 689, 30736, 543, 3327, 31407, 25683, 630, 290, 18199, 264, 799, 30397, 3615, 543, 11887, 741, 2990, 269, 634, 2326, 543, 8228, 1184, 1031, 1611, 602, 519, 9300, 568, 5393, 8465, 267, 22237, 543, 666, 581, 1031, 585, 1804, 7252, 269, 12752, 543, 1382, 4891, 666, 946, 543, 2417, 1020, 713, 5647, 2786, 2476, 563, 4263, 1101, 16145, 267, 519, 16133, 9300, 5526, 547, 581, 4986, 2027, 281, 513, 6094, 267, 13412, 4494, 540, 30736, 5196, 799, 3109, 4009, 7252, 616, 9102, 267, 855, 891, 2483, 274, 5937, 3337, 11601, 1210, 1216, 12761, 607, 519, 3337, 9300, 585, 519, 16646, 540, 1950, 3615, 454, 288, 2518, 2319, 540, 2780, 3744, 543, 8030, 723, 2919, 606, 5499, 4480, 602, 811, 4625, 18949, 338, 4101, 476, 274, 291, 3615, 269, 1323, 3504, 2483, 24357, 27913, 723, 2919, 513, 1007, 4480, 602, 3096, 5122, 28696, 547, 1852, 519, 6475, 8095, 593, 513, 13863, 269, 634, 9241, 31465, 1505, 2488, 4027, 689, 8095, 9178, 267, 2495, 602, 519, 8659, 1344, 666, 581, 9738, 543, 10299, 936, 26483, 1804, 9883, 267, 607, 814, 1044, 7152, 676, 513, 2319, 689, 519, 2160, 540, 30239, 779, 4972, 540, 8212, 543, 519, 18230, 15089, 657, 7220, 4659, 269, 634, 2164, 723, 1044, 3370, 538, 8447, 5623, 2473, 563, 2690, 1896, 1296, 267, 3173, 723, 1044, 3843, 547, 946, 519, 8095, 540, 606, 6475, 547, 4558, 543, 10141, 1344, 269, 634, 8095, 540, 1142, 6475, 568, 2141, 13745, 2483, 2918, 269, 5881, 269, 1001, 278, 1923, 7926, 5240, 454, 2641, 269, 5881, 269, 1001, 278, 1923, 7926, 5240, 454, 866, 269, 5881, 269, 1001, 278, 1923, 7926, 5240, 454, 2767, 269, 5881, 269, 1001, 278, 1923, 5020, 7070, 454, 2767, 269, 5881, 269, 1001, 278, 1923, 5020, 7070, 454, 2767, 269, 5881, 269, 1001, 278, 1923, 2657, 543, 6925, 0, 27670, 540, 12948, 454, 2005, 568, 5156, 602, 519, 2262, 2048, 23810, 685, 568, 1767, 547, 581, 6508, 689, 519, 2262, 2048, 3316, 1723, 685, 610, 2048, 3316, 322, 639, 685, 610, 2048, 3316, 4302, 685, 610, 2048, 3316, 322, 9957, 634, 2495, 540, 891, 3943, 1913, 568, 645, 2894, 6224, 269, 901, 568, 1317, 538, 519, 4505, 2053, 519, 12948, 1870, 729, 5342, 593, 1649, 2583, 543, 676, 713, 519, 14541, 2968, 519, 3090, 540, 12948, 1870, 543, 7930, 6591, 519, 2262, 4871, 269, 1323, 4277, 1249, 568, 602, 950, 513, 1870, 8959, 1282, 602, 1974, 267, 519, 1649, 2583, 941, 7745, 543, 865, 519, 2262, 2048, 289, 3198, 298, 305, 308, 8976, 685, 3357, 883, 6752, 563, 2467, 616, 1082, 971, 6436, 827, 519, 5169, 540, 12948, 543, 519, 1657, 5018, 568, 1175, 835, 540, 1346, 6436, 563, 6097, 547, 519, 645, 3198, 32578, 681, 9680, 308, 6369, 16739, 20554, 3813, 269, 276, 630, 289, 264, 2048, 321, 21403, 685, 814, 1044, 3989, 607, 454, 2108, 10907, 1061, 532, 585, 519, 3483, 540, 23831, 543, 5092, 267, 540, 12074, 540, 2724, 689, 1857, 267, 23231, 762, 593, 3747, 267, 1931, 610, 6382, 543, 11198, 2111, 676, 1750, 4302, 267, 8908, 1931, 610, 6382, 3034, 763, 4214, 2798, 856, 519, 1883, 1599, 540, 513, 4871, 518, 1775, 4318, 269, 8391, 12074, 267, 23831, 610, 10115, 891, 12074, 543, 23231, 618, 540, 519, 12074, 593, 3747, 3842, 519, 1797, 2009, 269, 1809, 519, 4214, 1281, 711, 2995, 721, 827, 519, 13564, 10706, 3252, 5645, 856, 676, 513, 4871, 518, 563, 11101, 267, 621, 1058, 581, 15422, 602, 513, 2724, 331, 2658, 568, 711, 513, 4871, 518, 1317, 646, 3085, 1406, 24693, 12074, 269, 1261, 12346, 593, 1010, 1378, 2959, 543, 865, 646, 3112, 581, 2808, 607, 513, 4871, 518, 269, 1403, 513, 6109, 24693, 12074, 1287, 621, 666, 1406, 581, 17941, 607, 513, 4871, 1317, 621, 1058, 581, 15422, 602, 621, 568, 711, 7900, 519, 1599, 540, 23831, 2724, 543, 865, 621, 568, 849, 711, 2808, 513, 4871, 563, 3086, 1577, 721, 1413, 883, 519, 2339, 540, 6075, 540, 513, 4871, 269, 1703, 616, 1978, 23944, 28987, 602, 513, 6075, 1058, 13822, 267, 789, 616, 607, 5205, 912, 268, 1261, 1590, 723, 930, 4990, 540, 606, 2272, 563, 268, 4634, 513, 2582, 11834, 949, 13822, 1864, 607, 513, 6075, 563, 268, 634, 7231, 1590, 581, 540, 513, 12948, 2470, 563, 268, 22039, 540, 8852, 568, 17191, 855, 711, 29739, 2390, 269, 0, 28926, 2287, 9650, 338, 267, 25947, 22032, 454, 19733, 543, 6468, 781, 25085, 618, 538, 670, 1180, 32136, 454, 3528, 8210, 514, 32298, 8566, 12646, 454, 309, 6387, 321, 2830, 2160, 4964, 14645, 9736, 476, 1001, 273, 966, 6387, 321, 2830, 2160, 4964, 454, 5472, 2924, 11603, 563, 4002, 13834, 267, 4065, 267, 543, 25085, 618, 454, 301, 777, 1961, 3570, 568, 513, 2582, 3993, 538, 1200, 4571, 3228, 625, 269, 2701, 2729, 538, 513, 2241, 6405, 2777, 609, 1200, 15730, 5067, 538, 835, 540, 519, 670, 1180, 584, 534, 14252, 1141, 713, 1353, 729, 5342, 269, 634, 2777, 12851, 547, 1200, 11078, 543, 7015, 2987, 25237, 267, 945, 2661, 538, 1715, 3840, 4975, 269, 16486, 3570, 9674, 689, 519, 4651, 540, 1200, 5067, 1310, 2713, 609, 1864, 585, 827, 513, 1032, 269, 2701, 6045, 602, 646, 729, 606, 23931, 267, 543, 834, 515, 1185, 1010, 642, 1182, 267, 543, 646, 13587, 1882, 803, 267, 865, 594, 2451, 1864, 1701, 2701, 4956, 621, 729, 1732, 585, 1200, 547, 3251, 2582, 269, 16486, 3570, 729, 3222, 602, 1082, 2021, 538, 1200, 3510, 798, 711, 723, 519, 4781, 547, 2661, 4805, 1317, 789, 3668, 2883, 1489, 269, 2701, 4607, 1121, 8636, 1734, 267, 834, 5228, 942, 547, 942, 2437, 689, 1200, 1920, 538, 519, 2136, 2276, 269, 1879, 594, 4280, 1200, 1946, 930, 2021, 3442, 547, 1121, 14019, 543, 1866, 4782, 547, 2611, 2582, 267, 1352, 6045, 602, 621, 568, 1759, 593, 991, 281, 834, 2467, 616, 930, 2021, 609, 2947, 610, 5722, 1453, 267, 543, 585, 873, 621, 568, 8078, 2218, 602, 789, 1205, 9310, 1586, 269, 1703, 616, 930, 11299, 602, 1810, 1405, 723, 1022, 948, 689, 741, 1920, 1701, 2701, 849, 5156, 602, 930, 2021, 1185, 3983, 9939, 281, 834, 1607, 2348, 1453, 609, 1585, 2367, 267, 713, 568, 513, 4807, 781, 3983, 9939, 269, 2368, 2021, 798, 621, 856, 540, 13766, 1317, 930, 2367, 2161, 602, 789, 616, 2469, 547, 948, 17215, 3267, 1352, 814, 547, 3398, 621, 269, 18648, 3364, 267, 1317, 2663, 713, 3884, 1405, 513, 1434, 1753, 269, 1703, 3884, 1405, 1620, 1063, 873, 4799, 301, 777, 1961, 3570, 267, 899, 1082, 538, 1200, 8498, 267, 6192, 1152, 3119, 1153, 269, 1879, 20389, 8118, 909, 538, 1200, 2146, 267, 1352, 23362, 19801, 269, 19881, 1382, 5267, 602, 676, 10283, 538, 6281, 2069, 267, 1352, 568, 811, 2693, 547, 7118, 2362, 13848, 267, 2087, 1200, 1072, 543, 602, 540, 1200, 5067, 267, 723, 7864, 1453, 267, 543, 1831, 811, 3238, 538, 2146, 12602, 269, 1452, 2640, 540, 2069, 616, 1419, 2404, 609, 2021, 781, 16882, 267, 543, 789, 2491, 1946, 10115, 538, 6690, 262, 543, 2021, 781, 2069, 814, 1831, 513, 1283, 10862, 538, 3486, 1646, 269, 1717, 267, 1247, 1382, 814, 9846, 7152, 513, 2318, 9756, 1063, 2069, 543, 6225, 1514, 543, 2804, 4093, 267, 649, 917, 5266, 2370, 827, 875, 543, 1946, 2069, 666, 9594, 519, 16882, 1184 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 875, 1454, 4006, 568, 538, 602, 10217, 3046, 286, 6997, 1564, 21383, 519, 10365, 593, 9422, 9623, 267, 865, 596, 666, 1118, 5483, 5079, 563, 32552, 3689, 281, 1548, 6997, 1564, 15681, 2974, 454, 4322, 616, 899, 519, 1426, 779, 968, 12895, 1354, 892, 1129, 269, 4495, 519, 4266, 779, 909, 267, 621, 1522, 711, 581, 2922, 547, 3548, 610, 4235, 269, 570, 1601, 621, 2336, 763, 5182, 540, 519, 1397, 256, 898, 6645, 596, 1018, 779, 3330, 269, 20944, 513, 6213, 7181, 286, 6744, 1934, 1101, 563, 2690, 1346, 609, 11959, 267, 713, 568, 513, 12468, 11232, 269, 1403, 596, 1294, 968, 935, 13935, 10808, 2223, 596, 3580, 917, 621, 779, 513, 1100, 30559, 563, 1692, 1082, 8477, 286, 1215, 1454, 3170, 286, 6997, 1564, 21383, 519, 10365, 593, 6484, 267, 865, 596, 666, 1832, 606, 3750, 593, 707, 1072, 563, 8005, 779, 654, 10248, 3683, 6997, 1564, 888, 15933, 11621, 10837, 630, 293, 6347, 994, 1103, 519, 5177, 267, 519, 674, 6347, 568, 519, 6003, 7128, 269, 1358, 1118, 2386, 10297, 616, 5168, 995, 543, 2653, 547, 1174, 563, 26222, 9467, 4441, 6887, 948, 17997, 6003, 3652, 543, 1118, 2386, 596, 2461, 711, 1373, 3765, 1194, 563, 24248, 2454, 16381, 17517, 547, 3680, 454, 289, 1168, 732, 540, 10297, 3458, 5446, 968, 11794, 892, 610, 968, 11499, 892, 950, 789, 2461, 711, 269, 11408, 5595, 27902, 519, 5820, 563, 5278, 10297, 1118, 596, 10544, 513, 3172, 4328, 4837, 256, 1403, 596, 666, 1406, 1224, 621, 267, 1810, 1406, 3548, 621, 563, 29309, 532, 2353, 1120, 523, 2782, 11789, 454, 2690, 14711, 24412, 267, 7508, 6784, 523, 9623, 568, 899, 4730, 6739, 13193, 30592, 269, 11408, 2638, 2336, 20091, 6997, 1564, 6145, 513, 1160, 454, 9359, 693, 519, 5440, 454, 28808, 19263, 616, 7396, 676, 2597, 267, 689, 5207, 547, 9803, 269, 1924, 267, 952, 4006, 779, 693, 519, 1283, 267, 621, 779, 513, 24494, 1521, 563, 16605, 606, 16685, 593, 5800, 687, 454, 763, 9422, 9623, 568, 1419, 585, 513, 3044, 6712, 269, 1403, 596, 2461, 4189, 811, 267, 4188, 519, 2338, 563, 260, 13129, 2271, 820, 454, 30706, 2938, 968, 6020, 892, 593, 513, 6003, 286, 898, 779, 513, 3391, 547, 875, 1454, 540, 707, 3232, 27108, 602, 1426, 610, 4235, 25361, 563, 299, 8475, 5678, 17214, 14168, 454, 5445, 2461, 711, 30659, 256, 661, 2338, 616, 21187, 899, 7990, 902, 543, 29089, 2510, 269, 2368, 616, 5386, 267, 1866, 1655, 14284, 563, 16391, 545, 1797, 7864, 6464, 543, 1732, 3662, 10304, 269, 6733, 585, 519, 14606, 5948, 610, 9167, 17667, 20446, 563, 28874, 4023, 13848, 585, 6705, 269, 6733, 585, 519, 12876, 339, 8565, 20446, 593, 707, 6995, 267, 7401, 267, 610, 10217, 563, 8855, 267, 1346, 10297, 593, 707, 19463, 1426, 543, 10425, 5749, 1406, 1175, 7168, 5961, 543, 1913, 269, 1358, 2461, 707, 1655, 2828, 950, 621, 2501, 547, 9363, 2922, 543, 1818, 2635, 5079, 269, 11408, 1224, 873, 267, 1174, 873, 267, 543, 2671, 519, 1702, 609, 707, 8284, 1426, 625, 269, 8881, 1101, 267, 6492, 2034, 256, 0, 1103, 519, 6946, 5251, 540, 5711, 1072, 267, 27644, 5959, 18002, 666, 5641, 513, 14692, 593, 938, 3232, 2729, 267, 4929, 711, 1152, 2168, 9636, 855, 849, 3929, 11605, 269, 1717, 267, 519, 2239, 991, 711, 581, 835, 540, 19535, 6114, 282, 513, 14942, 18879, 538, 5959, 1416, 666, 15186, 27298, 519, 10171, 540, 891, 18002, 269, 769, 713, 538, 3829, 3408, 267, 649, 786, 26819, 2565, 2994, 543, 2853, 602, 711, 1152, 6830, 1518, 707, 2949, 5711, 1072, 855, 849, 957, 607, 23773, 7496, 1996, 1761, 5959, 16839, 269, 1635, 15849, 559, 908, 891, 4030, 883, 707, 6296, 267, 596, 7832, 593, 513, 3460, 2509, 513, 14388, 267, 8373, 6954, 12837, 269, 1280, 10531, 5583, 543, 7525, 1489, 267, 2015, 5275, 513, 11290, 2282, 803, 538, 966, 2795, 534, 267, 4180, 602, 707, 14942, 1935, 547, 5711, 1072, 568, 1264, 7757, 676, 3015, 543, 4274, 1416, 563, 14611, 1555, 513, 3117, 11962, 17327, 5516, 13705, 710, 454, 4263, 519, 13540, 540, 1022, 23833, 5959, 4640, 6013, 519, 32344, 7029, 547, 513, 5812, 5711, 1416, 6296, 269, 634, 2956, 540, 17678, 707, 4522, 693, 2547, 7466, 513, 1554, 543, 29781, 2899, 3232, 3112, 581, 936, 26061, 269, 901, 6296, 3927, 16701, 545, 919, 15799, 543, 23352, 29886, 1426, 5536, 267, 7551, 19086, 519, 1981, 540, 19659, 543, 10733, 2068, 269, 28389, 707, 5711, 8878, 2417, 676, 6220, 606, 21734, 5023, 31683, 883, 707, 3232, 20786, 267, 2870, 513, 7347, 13104, 1996, 1761, 5711, 10779, 2456, 563, 21790, 995, 14856, 31346, 281, 27986, 2659, 29726, 454, 763, 2078, 1063, 8192, 5079, 543, 5959, 1072, 568, 7096, 269, 5548, 756, 4733, 543, 15826, 4616, 6208, 1404, 513, 11358, 1909, 538, 7303, 5959, 18002, 269, 10163, 878, 1154, 519, 6981, 540, 24494, 16152, 543, 15755, 16098, 5713, 607, 513, 13654, 1900, 538, 19011, 1154, 5694, 9178, 543, 519, 11761, 540, 19596, 269, 4982, 958, 1713, 568, 519, 931, 2615, 1190, 21084, 540, 6208, 602, 10460, 2800, 547, 938, 4522, 267, 971, 607, 519, 9583, 17608, 957, 540, 24146, 1524, 593, 2182, 3615, 899, 4672, 610, 10002, 641, 6244, 1402, 25468, 737, 1716, 1564, 269, 4980, 22899, 13533, 4189, 6208, 711, 1152, 11942, 2949, 1134, 5630, 855, 849, 6763, 607, 513, 23773, 8878, 1996, 1761, 5959, 16839, 563, 19894, 15482, 6744, 13522, 281, 589, 16473, 633, 12763, 454, 21615, 571, 1424, 6296, 5959, 2638, 13522, 19674, 607, 513, 22294, 540, 14942, 5711, 1416, 269, 1452, 16516, 11564, 547, 707, 11290, 616, 711, 6071, 6101, 885, 282, 789, 616, 14942, 3800, 2966, 547, 2697, 1761, 2152, 538, 741, 25782, 5933, 269, 6787, 621, 581, 519, 12614, 540, 19659, 267, 519, 2038, 4191, 540, 10733, 2068, 267, 610, 8374, 16109, 689, 4540, 5959, 960, 267, 891, 6296, 2638, 13522, 7520, 12905, 6304, 269, 15332, 602, 267, 789, 7854, 3318, 2973, 902, 267, 513, 4909, 5057, 538, 519, 19070, 531, 540, 4509, 6099, 5711, 1072, 563, 28406, 633, 717, 792, 585, 8447, 11242, 454, 2690, 1346, 5887, 1005, 883, 2168, 2238, 610, 5026, 602, 16616, 519, 5711, 3148, 547, 1761, 7063, 267, 513, 14942, 1935, 568, 16832, 269, 11426, 1242, 5023, 7666, 1841, 267, 23939, 18705, 896, 519, 5583, 540, 24782, 267, 10836, 607, 519, 5667, 2426, 12325, 538, 7303, 5959, 18002, 4611, 689, 2168, 1764, 269, 1452, 796, 817, 11167, 3457, 1683, 513, 2629, 4494, 540, 4027, 585, 1312, 4522, 543, 28287, 267, 3648, 32033, 519, 5506, 540, 18002, 31827, 689, 10913, 610, 5026, 5829, 7063, 563, 8139, 15482, 10266, 281, 32653, 11059, 454, 291, 1581, 9636, 1058, 2760, 581, 25323, 607, 513, 23644, 28842, 1466, 269, 898, 5713, 607, 606, 522, 2381, 748, 24888, 547, 1761, 5959, 18002, 269, 6431, 11962, 5694, 2851, 267, 15398, 8417, 547, 2837, 2242, 267, 610, 11132, 11926, 616, 2699, 17514, 15202, 5817, 2152, 971, 607, 5563, 610, 5959, 26252, 525, 269, 20876, 891, 9963, 4191, 543, 5275, 7525, 5959, 3007, 568, 16122, 547, 562, 760, 1761, 18002, 538, 519, 5229, 267, 7303, 873, 689, 9687, 883, 811, 1950, 543, 4049, 7653, 563, 763, 6604, 540, 5959, 18002, 568, 711, 606, 7493, 8321, 566, 855, 513, 15889, 4641, 602, 4652, 9529, 998, 20982, 543, 5483, 3527, 269, 1635, 22805, 519, 16060, 540, 5812, 1416, 267, 13533, 6208, 267, 2834, 5959, 2638, 13522, 267, 543, 5401, 6114, 547, 9963, 4191, 267, 596, 4020, 513, 7347, 13795, 540, 5711, 1072, 269, 901, 14942, 1935, 711, 1152, 695, 3658, 596, 689, 1761, 18002, 855, 849, 533, 2314, 519, 1259, 585, 513, 12837, 602, 568, 711, 1152, 8353, 24312, 24886, 855, 849, 14388, 543, 11972, 269, 5457, 267, 10115, 538, 6604, 2221, 568, 606, 5092, 538, 519, 13455, 1134, 5630, 540, 707, 5711, 1072, 585, 519, 2104, 269, 0, 20103, 476, 275, 267, 476, 1708, 274, 267, 786, 11014, 581, 31960, 883, 519, 1686, 540, 4432, 30571, 269, 2201, 602, 1554, 267, 1079, 1296, 1310, 519, 3656, 5314, 540, 11670, 543, 513, 1032, 883, 3232, 645, 12839, 16306, 267, 519, 2197, 779, 21888, 14425, 5828, 513, 7443, 256, 13405, 547, 713, 267, 2518, 2883, 8128, 543, 1256, 2199, 7264, 1705, 711, 3494, 602, 513, 1900, 4724, 3656, 5314, 1131, 1291, 547, 4376, 1434, 269, 6736, 782, 4145, 267, 519, 4346, 3459, 547, 2087, 267, 799, 1797, 11670, 1436, 729, 6225, 1310, 782, 563, 4131, 781, 1451, 1946, 4432, 30571, 3656, 2213, 11670, 543, 875, 519, 1101, 15170, 814, 4957, 519, 2197, 563, 1692, 11670, 2968, 519, 3084, 9304, 540, 4432, 30571, 454, 1103, 4873, 476, 1708, 272, 267, 519, 5518, 715, 599, 756, 645, 8123, 548, 5189, 513, 3915, 547, 3656, 1047, 519, 1034, 3854, 2213, 15170, 267, 11670, 630, 6630, 290, 1040, 6837, 9516, 519, 11556, 269, 2201, 5181, 476, 278, 267, 476, 1708, 272, 267, 11670, 2968, 519, 3084, 9304, 540, 4432, 30571, 7258, 519, 2475, 13362, 563, 289, 8123, 548, 11099, 602, 519, 3656, 5314, 540, 11670, 786, 5818, 519, 2197, 779, 4346, 267, 20928, 2883, 8852, 267, 543, 4482, 811, 4914, 9520, 563, 763, 7022, 779, 2319, 6836, 547, 2442, 1047, 11670, 607, 513, 8569, 1907, 912, 6930, 493, 371, 20804, 22893, 3893, 28774, 585, 9878, 538, 21888, 267, 971, 607, 9494, 1269, 271, 269, 736, 829, 20645, 676, 11449, 4492, 538, 645, 12839, 563, 6930, 498, 482, 15303, 334, 1922, 9332, 11083, 16039, 941, 8704, 585, 2653, 7503, 540, 11670, 883, 9489, 543, 13030, 17930, 563, 6930, 503, 489, 13693, 566, 2798, 7902, 593, 519, 10754, 1141, 596, 666, 2307, 2055, 827, 15170, 563, 6930, 495, 505, 634, 8128, 9250, 519, 3084, 21888, 2914, 531, 2280, 267, 932, 16343, 267, 5356, 1269, 1789, 538, 645, 12839, 547, 782, 9241, 10805, 2818, 563, 6930, 490, 489, 645, 8123, 548, 9307, 513, 11670, 2749, 20671, 1982, 267, 1141, 4961, 1223, 9553, 645, 12839, 1210, 3039, 1648, 689, 22747, 563, 763, 7022, 5128, 568, 10647, 30405, 960, 269, 1261, 1419, 4267, 2055, 827, 15170, 593, 1010, 1378, 12108, 2985, 563, 290, 761, 6291, 540, 645, 8123, 548, 781, 3375, 547, 3656, 1047, 11670, 454, 14976, 30571, 5185, 9880, 936, 519, 3375, 547, 3656, 1047, 11670, 269, 1703, 729, 513, 5951, 540, 17600, 2066, 519, 2197, 282, 3025, 729, 12922, 602, 713, 1131, 28596, 606, 10637, 2333, 563, 29209, 2883, 14540, 849, 8678, 519, 9880, 912, 6930, 496, 372, 634, 4139, 3933, 8767, 8750, 4718, 4220, 585, 4432, 30571, 781, 12550, 324, 1595, 344, 563, 6930, 490, 365, 634, 2622, 7813, 729, 849, 521, 1061, 673, 827, 519, 8128, 685, 3527, 282, 789, 5156, 602, 3656, 2358, 645, 12839, 1131, 22009, 519, 1604, 630, 16746, 547, 519, 3327, 11640, 540, 5599, 264, 543, 2569, 11413, 538, 519, 2197, 779, 2883, 2344, 563, 4131, 781, 1294, 952, 519, 2942, 11236, 2490, 856, 547, 581, 1483, 563, 8649, 573, 11670, 3656, 5314, 267, 4432, 30571, 779, 12654, 8057, 689, 1269, 3066, 269, 275, 5479, 538, 476, 1708, 272, 547, 1269, 3953, 269, 275, 5479, 538, 476, 1708, 273, 563, 294, 1484, 6469, 1587, 630, 294, 7894, 264, 568, 519, 2698, 1871, 540, 5370, 543, 2533, 3812, 1369, 513, 2197, 538, 513, 1032, 269, 4400, 12654, 1797, 602, 519, 4346, 568, 3384, 267, 1007, 6080, 616, 6679, 267, 1247, 2025, 3283, 616, 2324, 1256, 1732, 282, 1970, 12654, 6920, 2042, 563, 5804, 476, 3422, 276, 547, 476, 1708, 273, 267, 4432, 30571, 781, 12654, 8057, 20406, 267, 890, 1136, 693, 1269, 3953, 269, 275, 5479, 538, 476, 1708, 273, 563, 26589, 609, 519, 2208, 540, 12654, 267, 5370, 543, 2533, 723, 1831, 811, 7199, 538, 4432, 30571, 267, 607, 23576, 676, 519, 7082, 3902, 4994, 269, 898, 13475, 3902, 2242, 538, 513, 2197, 282, 2094, 789, 616, 3395, 267, 621, 1797, 2713, 972, 568, 4742, 811, 7199, 563, 303, 4631, 538, 4432, 30571, 3459, 547, 1332, 8362, 538, 476, 1708, 272, 282, 1287, 519, 4994, 729, 693, 476, 8099, 2798, 267, 543, 676, 519, 4098, 540, 476, 1708, 274, 267, 621, 1185, 6603, 476, 12553, 563, 2005, 7140, 856, 602, 519, 3656, 5314, 540, 11670, 1705, 711, 948, 512, 877, 10637, 269, 1717, 267, 4432, 30571, 534, 8128, 5185, 519, 2242, 676, 2810, 13848, 269, 4340, 547, 6465, 16695, 267, 689, 476, 1708, 272, 547, 476, 1708, 273, 267, 4961, 262, 4747, 8057, 676, 476, 278, 9077, 609, 10637, 7555, 693, 476, 276, 10065, 901, 2306, 909, 610, 1256, 936, 4818, 839, 919, 585, 782, 519, 9271, 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 ]
[ 7862, 267, 32593, 775, 543, 5126, 269, 1261, 13084, 16845, 519, 6406, 7126, 11873, 538, 3013, 602, 5170, 547, 8300, 1158, 3401, 2221, 269, 3571, 22838, 5280, 3337, 2518, 4656, 540, 7862, 538, 1082, 2127, 540, 1480, 2924, 267, 1519, 5198, 267, 4008, 267, 543, 9659, 563, 2026, 513, 1267, 540, 3540, 2924, 3350, 267, 9118, 824, 2127, 1141, 1480, 2924, 543, 7862, 616, 2877, 723, 1336, 513, 5639, 538, 519, 1158, 269, 5274, 19338, 267, 2069, 543, 2973, 1216, 267, 1175, 547, 2012, 513, 1906, 563, 1692, 798, 596, 1291, 12703, 569, 888, 5591, 8969, 267, 6381, 543, 1514, 2916, 5401, 22838, 538, 1034, 3401, 269, 853, 7578, 15506, 698, 1014, 23036, 267, 19608, 7905, 540, 12409, 15557, 693, 18518, 2160, 267, 8843, 602, 22838, 543, 10100, 2285, 513, 6205, 519, 4222, 547, 2936, 1689, 563, 27087, 267, 538, 2490, 267, 5222, 22624, 267, 7862, 543, 2924, 269, 4634, 952, 513, 6205, 568, 711, 593, 519, 1158, 3942, 267, 22838, 666, 8300, 3025, 538, 519, 7706, 540, 3310, 540, 707, 5718, 563, 2026, 649, 8956, 513, 3020, 6205, 4502, 1739, 267, 3220, 269, 9410, 13162, 3751, 267, 12789, 1421, 2015, 519, 1739, 2081, 547, 1948, 11155, 657, 564, 1961, 611, 12703, 569, 2221, 912, 268, 6733, 1472, 269, 6875, 519, 942, 547, 1413, 1472, 593, 707, 862, 1393, 547, 960, 267, 607, 596, 28185, 538, 519, 6288, 610, 1694, 538, 519, 19633, 269, 1684, 596, 1294, 2576, 945, 2115, 948, 286, 6657, 2469, 856, 540, 707, 1259, 547, 948, 1346, 538, 991, 269, 1772, 972, 513, 1880, 2014, 602, 4690, 596, 286, 6333, 24749, 547, 1294, 20250, 875, 707, 3028, 666, 3142, 4656, 547, 606, 3390, 269, 968, 16908, 779, 1034, 10770, 543, 14849, 2243, 568, 267, 2048, 1432, 616, 596, 3257, 585, 1866, 9495, 1107, 3220, 269, 9410, 13162, 3751, 267, 12789, 563, 268, 5776, 909, 269, 4858, 557, 3401, 1796, 909, 1866, 269, 4858, 854, 3085, 1406, 1694, 23900, 538, 519, 4282, 269, 4858, 854, 6763, 909, 585, 519, 31345, 267, 519, 9292, 1154, 267, 543, 519, 20495, 538, 2486, 269, 968, 1103, 3286, 823, 9170, 568, 513, 3463, 547, 5126, 10876, 1848, 1107, 3220, 269, 9410, 13162, 3751, 267, 12789, 563, 268, 28423, 4934, 269, 20780, 532, 4656, 547, 21440, 610, 8635, 267, 2436, 538, 938, 4182, 610, 538, 938, 3919, 267, 568, 711, 2653, 267, 855, 7446, 547, 3717, 856, 593, 971, 2152, 21018, 519, 29752, 6091, 540, 22838, 269, 1635, 6340, 856, 267, 513, 6205, 791, 11301, 1702, 543, 4656, 547, 3123, 602, 949, 581, 15763, 538, 676, 1346, 945, 723, 519, 2702, 547, 1689, 873, 269, 968, 5978, 2729, 2253, 547, 1439, 519, 1554, 649, 1831, 14980, 827, 1919, 602, 2339, 1848, 1107, 3220, 269, 9410, 13162, 3751, 267, 12789, 563, 18794, 538, 519, 6643, 827, 22838, 676, 4687, 875, 596, 1948, 11155, 657, 564, 1961, 611, 7498, 10527, 10700, 2268, 540, 513, 812, 568, 711, 1141, 646, 6763, 538, 8090, 540, 4313, 543, 13418, 267, 855, 1141, 646, 6763, 693, 2053, 540, 4161, 543, 15784, 1848, 910, 32354, 13162, 3751, 267, 12789, 563, 12812, 1677, 570, 11548, 281, 769, 2892, 1393, 540, 3220, 269, 9410, 13162, 3751, 267, 12789, 1421, 1948, 11155, 657, 564, 1961, 611, 676, 19551, 1010, 645, 6938, 23615, 312, 1948, 22117, 2075, 770, 1948, 7876, 298, 5291, 2517, 4226, 269, 569, 270, 272, 25721, 271, 300, 279, 310, 454, 12812, 1677, 570, 11548, 281, 769, 8956, 540, 1948, 7876, 298, 21196, 267, 1948, 11155, 657, 564, 1961, 611, 676, 19551, 1010, 645, 6938, 23615, 312, 1948, 22117, 2075, 770, 1948, 7876, 298, 5291, 2517, 4226, 269, 569, 270, 272, 25721, 271, 300, 279, 310, 454, 12812, 1677, 570, 11548, 281, 2201, 4303, 476, 274, 540, 938, 1948, 11155, 657, 564, 1961, 611, 5859, 267, 649, 8956, 3220, 269, 9410, 13162, 3751, 267, 676, 19551, 1010, 645, 6938, 23615, 312, 1948, 22117, 2075, 770, 1948, 7876, 298, 5291, 2517, 4226, 269, 569, 270, 272, 25721, 271, 300, 279, 310, 0, 1320, 748, 1343, 540, 3741, 4503, 741, 2729, 676, 11836, 936, 519, 30917, 610, 941, 8246, 936, 676, 824, 31852, 602, 789, 941, 30039, 547, 269, 27051, 476, 279, 267, 2770, 742, 338, 941, 16626, 1282, 3670, 1296, 540, 32006, 720, 269, 634, 8367, 729, 13604, 4092, 538, 590, 529, 540, 676, 513, 1557, 540, 4129, 689, 519, 6301, 7936, 540, 519, 3703, 4427, 13985, 320, 11833, 269, 4354, 13124, 1310, 519, 20739, 1188, 729, 3983, 267, 7286, 18840, 6048, 7917, 674, 563, 5278, 2161, 621, 568, 1317, 689, 513, 3845, 519, 269, 10374, 569, 1310, 519, 20739, 1188, 729, 4362, 267, 7286, 18840, 6048, 7917, 269, 594, 786, 5659, 519, 1198, 602, 519, 2782, 1185, 563, 26796, 4259, 13743, 267, 519, 13198, 345, 11402, 513, 2178, 7088, 4929, 519, 6928, 547, 2736, 6306, 543, 3262, 922, 16782, 936, 513, 1804, 1858, 269, 2859, 982, 835, 4627, 543, 8938, 7606, 829, 1639, 543, 9748, 540, 4154, 267, 8988, 267, 543, 824, 10475, 18535, 941, 4503, 547, 519, 4262, 269, 5053, 3213, 1231, 6348, 26676, 342, 516, 22486, 11113, 634, 865, 10777, 8988, 13009, 729, 2965, 513, 3060, 540, 4123, 11507, 8757, 856, 689, 8000, 657, 328, 538, 1459, 1554, 30643, 269, 898, 1590, 723, 1044, 513, 1272, 610, 2669, 3375, 547, 3801, 971, 513, 1847, 267, 543, 5310, 621, 568, 1256, 811, 7415, 602, 1614, 540, 1614, 540, 519, 10656, 5443, 2965, 1500, 621, 256, 10162, 657, 342, 6359, 330, 634, 10162, 657, 342, 6359, 330, 729, 513, 10656, 5101, 1473, 3554, 534, 602, 521, 1678, 1055, 519, 2296, 5032, 593, 519, 30217, 748, 6153, 7773, 590, 1343, 609, 2530, 540, 782, 3946, 1282, 519, 3923, 540, 5412, 634, 8697, 966, 12340, 326, 5460, 691, 1793, 5792, 1055, 519, 5070, 8663, 543, 3533, 521, 1678, 538, 476, 1015, 535, 987, 1682, 476, 2568, 3952, 540, 1216, 563, 305, 1961, 2203, 1557, 5401, 585, 2852, 3248, 2750, 6473, 1557, 2093, 585, 2852, 3248, 290, 1478, 4484, 8689, 540, 6725, 543, 10618, 3248, 23338, 3013, 590, 6064, 538, 513, 1557, 593, 5181, 476, 1321, 32586, 13875, 6029, 9399, 6239, 3013, 3576, 609, 1200, 811, 982, 3817, 543, 936, 1614, 9748, 540, 1016, 20598, 269, 634, 20739, 1188, 2482, 3768, 626, 32328, 2394, 15290, 4024, 16399, 543, 1010, 19090, 29958, 320, 20570, 6828, 4092, 519, 1318, 538, 3952, 540, 1216, 269, 590, 30972, 1227, 2161, 621, 568, 1317, 689, 513, 1557, 519, 960, 5654, 899, 513, 4666, 812, 593, 1010, 1394, 282, 1866, 2161, 621, 568, 1317, 519, 2367, 581, 20243, 519, 12284, 540, 519, 3117, 565, 30685, 593, 519, 1297, 269, 634, 20739, 4242, 616, 3262, 2066, 5693, 476, 3199, 5195, 689, 1634, 540, 6206, 700, 14417, 8367, 547, 519, 2123, 540, 667, 3089, 6206, 269, 3683, 519, 1985, 1906, 1004, 789, 3406, 12370, 6280, 2013, 1353, 22236, 2011, 6050, 811, 2053, 543, 905, 16556, 19165, 540, 11113, 543, 8978, 20375, 563, 11947, 3354, 5321, 17245, 8367, 454, 11321, 822, 25022, 2991, 4259, 13743, 585, 8050, 267, 519, 3057, 822, 25022, 30065, 539, 8367, 602, 729, 18418, 2299, 2877, 676, 519, 5053, 1726, 21204, 269, 634, 16782, 941, 2451, 796, 13094, 2394, 950, 4129, 2324, 1776, 6928, 342, 516, 1188, 4362, 519, 13742, 267, 4154, 543, 1557, 524, 10849, 269, 589, 1729, 15939, 589, 1729, 15939, 267, 3141, 330, 538, 2852, 1557, 3732, 3584, 585, 5234, 540, 6206, 4639, 267, 8419, 1055, 1576, 538, 513, 15265, 5162, 7088, 543, 15155, 4364, 1586, 2394, 950, 519, 1101, 11113, 941, 1336, 676, 269, 2201, 4604, 891, 8043, 941, 2185, 1296, 540, 19017, 1018, 2956, 602, 1871, 814, 593, 707, 1272, 543, 563, 29797, 639, 710, 10282, 540, 29469, 3248, 312, 8811, 14241, 1535, 773, 5098, 6898, 3248, 16675, 6199, 8367, 6805, 4654, 454, 4002, 4604, 8367, 1053, 267, 476, 10695, 7980, 267, 543, 3670, 3275, 7132, 513, 1507, 14951, 11876, 731, 540, 3257, 543, 8988, 11113, 602, 1131, 581, 594, 335, 341, 277, 740, 637, 572, 581, 7371, 1408, 1557, 547, 4123, 585, 16536, 543, 14546, 543, 5234, 21889, 269, 2991, 1373, 1201, 26860, 936, 519, 10821, 19165, 267, 519, 966, 12340, 326, 5460, 691, 29291, 13814, 2899, 1586, 585, 519, 5101, 28851, 593, 15019, 476, 274, 267, 10162, 657, 342, 6359, 330, 634, 10162, 657, 342, 6359, 330, 729, 513, 3864, 5101, 1473, 3554, 534, 602, 521, 1678, 1055, 519, 10656, 5032, 593, 519, 7811, 6153, 7773, 590, 1343, 609, 2530, 540, 782, 4610, 1282, 519, 3923, 540, 5412, 2986, 4259, 13743, 267, 519, 13198, 345, 931, 565, 539, 513, 2178, 7088, 4929, 519, 1557, 547, 32275, 6306, 543, 3262, 922, 16782, 936, 513, 7415, 1858, 269, 769, 14951, 21962, 1336, 519, 15624, 538, 13719, 7297, 2059, 519, 1306, 335, 599, 7345, 543, 3576, 2892, 9366, 532, 896, 519, 2229, 15569, 269, 1717, 267, 519, 811, 4999, 540, 513, 29036, 1557, 267, 513, 11354, 5464, 543, 12681, 5470, 2366, 1200, 5196, 513, 2257, 3297, 1200, 11078, 6928, 269, 2201, 11818, 891, 8043, 1557, 2185, 1296, 540, 3576, 14951, 602, 729, 11613, 2877, 676, 519, 15557, 1726, 21204, 269, 634, 3057, 822, 25022, 729, 2219, 547, 723, 835, 540, 519, 1034, 7925, 16782, 540, 4154, 267, 8367, 543, 10475, 10007, 540, 782, 9635, 2479, 547, 13743, 689, 1715, 1530, 341, 770, 641, 565, 563, 26796, 4259, 13743, 267, 519, 13198, 345, 11402, 513, 2178, 7088, 4929, 519, 6928, 547, 2736, 6306, 543, 3262, 922, 16782, 936, 513, 1804, 1858, 269, 589, 6093, 5101, 1473, 3554, 534, 8876, 5216, 1750, 7370, 540, 8988, 11113, 1185, 12979, 1819, 547, 1205, 1454, 2877, 7727, 267, 950, 538, 519, 3068, 540, 513, 575, 1446, 267, 519, 19671, 11060, 2879, 11474, 543, 519, 6928, 1336, 1229, 593, 519, 7725, 269, 9603, 519, 3463, 540, 4323, 267, 519, 966, 12340, 326, 5460, 691, 729, 8185, 11439, 609, 476, 5655, 15963, 563, 293, 745, 1598, 725, 4903, 11306, 8367, 13153, 13362, 9388, 454, 12024, 1557, 9635, 538, 519, 7904, 1115, 267, 519, 966, 12340, 326, 5460, 691, 729, 2966, 585, 519, 1557, 543, 5906, 3460, 547, 519, 824, 2427, 540, 519, 1158, 269, 589, 19625, 540, 4154, 524, 10849, 476, 272, 543, 476, 273, 29034, 344, 671, 328, 996, 12935, 8533, 10282, 540, 546, 756, 20044, 531, 659, 564, 821, 1152, 941, 849, 16626, 267, 6140, 689, 22163, 5053, 544, 6493, 519, 15729, 7638, 1372, 11866, 543, 1223, 711, 8367, 519, 11113, 2479, 13351, 538, 519, 1715, 2622, 269, 769, 519, 2038, 3108, 540, 519, 476, 736, 628, 540, 4989, 519, 15248, 26990, 612, 1336, 3294, 538, 13719, 1216, 1055, 29945, 30779, 3594, 678, 22044, 2335, 5610, 12193, 2042, 3240, 269, 1411, 18647, 10068, 1867, 7262, 18369, 5249, 865, 2182, 909, 2394, 713, 1448, 267, 1453, 689, 3675, 324, 2852, 593, 519, 1985, 2856, 547, 942, 713, 1062, 5249, 7157, 269, 1703, 568, 1100, 27102, 602, 519, 8367, 540, 2029, 609, 519, 744, 14623, 7276, 538, 519, 22236, 267, 519, 589, 549, 28583, 2329, 538, 519, 22703, 543, 519, 590, 758, 9369, 2836, 13023, 622, 538, 538, 513, 1970, 1648, 4259, 269, 10738, 1614, 5553, 267, 519, 5259, 10504, 1131, 2887, 547, 519, 14564, 269, 6736, 10438, 1082, 8477, 689, 3728, 1426, 267, 1004, 798, 711, 798, 2614, 5751, 547, 6633, 891, 8477, 799, 1118, 873, 811, 17324, 269, 570, 839, 540, 5215, 540, 544, 2544, 2000, 1933, 338, 540, 1426, 543, 7727, 513, 1032, 941, 2838, 547, 2844, 1018, 2179, 539, 547, 519, 4102, 2749, 538, 519, 17113, 267, 693, 602, 942, 6428, 3279, 8547, 538, 634, 6928, 521, 1678, 5612, 267, 2921, 922, 10475, 18535, 543, 3592, 519, 3003, 12284, 547, 519, 5377, 540, 519, 4262, 269, 634, 4102, 575, 4150, 517, 3710, 585, 3751, 17722, 10001, 693, 713, 942, 267, 1352, 729, 4503, 593, 5239, 476, 2918, 267, 1310, 513, 4044, 1049, 5470, 3361, 1200, 547, 10880, 513, 24760, 11818, 2282, 25941, 8500, 267, 28130, 269, 4173, 12761, 729, 5111, 9748, 267, 1200, 3259, 3952, 267, 1352, 5645, 827, 476, 2412, 15963, 563, 306, 601, 28310, 751, 18319, 632, 954, 331, 4833, 8367, 454, 763, 11777, 1137, 540, 519, 5259, 4872, 7930, 30403, 607, 713, 1557, 267, 1352, 729, 4503, 593, 5239, 476, 2918, 267, 1310, 513, 9645, 3310, 593, 519, 1101, 4936, 8367, 11777, 720, 11818, 2282, 25941, 8500, 267, 28130, 269, 4173, 13249, 2530, 2451, 13019, 704, 533, 655, 25075, 737, 5306, 574, 15591, 14951, 14084, 3768, 4593, 2642, 593, 519, 5836, 6989 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 769, 2487, 1296, 267, 972, 814, 1044, 3395, 4656, 543, 6161, 827, 2890, 12000, 11306, 267, 11029, 11913, 610, 8965, 967, 793, 885, 602, 5968, 20935, 267, 3541, 690, 2218, 267, 610, 2942, 1793, 2074, 2509, 12790, 2516, 269, 1452, 4948, 7215, 540, 14882, 666, 581, 1336, 1256, 538, 11174, 5708, 267, 3226, 1346, 7231, 609, 4798, 540, 14882, 543, 10168, 269, 1635, 6313, 891, 8320, 538, 3332, 267, 3988, 666, 2744, 513, 4514, 1620, 540, 875, 9583, 21030, 6681, 8292, 543, 3527, 666, 28511, 5739, 11475, 543, 3565, 547, 11528, 15746, 780, 2414, 2253, 267, 1577, 721, 5581, 2890, 12000, 11306, 811, 5693, 269, 667, 14283, 30733, 590, 826, 267, 513, 6530, 7548, 693, 12052, 2160, 267, 11008, 3278, 2890, 12000, 11306, 883, 1614, 2010, 281, 2890, 817, 5435, 338, 630, 10940, 543, 20982, 25641, 5615, 1070, 2890, 1231, 6699, 630, 684, 842, 30102, 10618, 602, 1629, 6756, 513, 1268, 781, 3961, 1070, 543, 2890, 514, 20777, 725, 630, 332, 612, 1137, 602, 23868, 267, 2258, 622, 267, 610, 14275, 1518, 519, 4555, 267, 4606, 267, 610, 23913, 4641, 540, 513, 1268, 1040, 898, 568, 1898, 547, 5431, 602, 2890, 12000, 11306, 616, 1419, 26516, 543, 8451, 689, 17499, 12886, 7184, 3824, 11712, 1369, 2486, 269, 1717, 267, 741, 1764, 666, 1869, 2014, 1713, 3929, 2800, 543, 12927, 6626, 1514, 31716, 780, 1103, 1931, 547, 1732, 1174, 2890, 12000, 11306, 538, 11174, 5708, 267, 2015, 519, 1739, 1383, 689, 700, 4768, 773, 670, 4426, 18722, 781, 3209, 28423, 269, 10801, 519, 1433, 267, 1292, 1915, 9253, 25475, 2833, 10072, 543, 11648, 1310, 10912, 519, 7128, 1282, 513, 4832, 5428, 267, 799, 5012, 1200, 15032, 547, 6003, 1200, 513, 2879, 3558, 269, 2755, 7234, 513, 1895, 7084, 609, 1261, 1430, 267, 1776, 2875, 267, 9253, 25475, 9356, 593, 519, 17697, 5048, 24829, 998, 1261, 1430, 781, 1913, 281, 834, 262, 2791, 2811, 865, 16168, 267, 9253, 25475, 10086, 1352, 3081, 7444, 1862, 1412, 12441, 596, 1031, 547, 9260, 267, 899, 267, 1614, 4627, 6550, 286, 262, 594, 1413, 1524, 693, 1250, 14247, 753, 269, 12025, 2185, 269, 3733, 570, 6879, 7398, 554, 1938, 3388, 3116, 269, 2701, 17254, 326, 956, 1586, 269, 1412, 296, 7058, 602, 6941, 1946, 596, 2760, 2911, 9538, 8550, 286, 6145, 6148, 2899, 610, 7466, 513, 3923, 8119, 9282, 1261, 1430, 1281, 711, 12799, 1533, 602, 9253, 25475, 568, 3170, 610, 544, 1393, 1317, 1352, 568, 7429, 762, 267, 1200, 3903, 540, 1913, 10522, 602, 9253, 25475, 781, 2597, 568, 3743, 585, 1200, 3668, 540, 1514, 5872, 12544, 1455, 8305, 9189, 5185, 676, 1082, 14968, 2043, 269, 3414, 7421, 971, 8320, 267, 1053, 666, 2697, 2890, 12000, 11306, 538, 5931, 543, 10146, 519, 1761, 4539, 789, 723, 593, 3197, 543, 3988, 7567, 780, 5194, 8037, 2460, 540, 2890, 12000, 11306, 538, 11174, 5708, 568, 741, 4276, 547, 28622, 9789, 10562, 2470, 540, 1514, 11008, 3074, 971, 607, 5198, 267, 4008, 267, 14920, 267, 1362, 267, 543, 824, 1541, 13294, 269, 5843, 12000, 11306, 4810, 676, 513, 4563, 8004, 786, 8428, 689, 1346, 5185, 676, 513, 3043, 8004, 1813, 547, 7292, 13103, 282, 13974, 267, 11806, 266, 6107, 7237, 2189, 3029, 540, 7130, 1759, 593, 741, 4638, 10066, 543, 4008, 4082, 269, 1280, 3236, 267, 10496, 638, 5202, 8381, 5459, 781, 9466, 21756, 14134, 532, 7710, 519, 16502, 781, 1995, 3395, 909, 607, 606, 3979, 1977, 1126, 538, 519, 13343, 18844, 3162, 543, 2663, 1282, 519, 6406, 7126, 11873, 269, 2290, 8574, 6257, 1762, 26566, 638, 5202, 1565, 827, 2506, 5471, 339, 570, 650, 267, 513, 27552, 4458, 6040, 7911, 561, 2106, 3481, 585, 16957, 569, 627, 626, 1782, 693, 513, 3043, 4807, 269, 1879, 7713, 1010, 2669, 547, 1200, 1453, 267, 26566, 638, 5202, 781, 20516, 24616, 267, 834, 5445, 1810, 1405, 1416, 835, 1259, 610, 519, 824, 827, 11954, 1004, 2437, 7551, 31552, 602, 2506, 5471, 339, 781, 12638, 729, 711, 7292, 569, 12592, 269, 6270, 6898, 32135, 519, 5030, 2833, 540, 4563, 4892, 543, 14962, 519, 1909, 540, 11528, 10168, 538, 5935, 741, 2729, 269, 24167, 891, 1950, 6384, 2636, 1053, 547, 5660, 519, 13857, 2081, 2890, 12000, 11306, 1860, 1585, 2950, 543, 7512, 6568, 2066, 1114, 10080, 780, 11101, 267, 9301, 2890, 12000, 11306, 538, 3332, 6087, 2565, 1582, 26190, 1851, 3988, 3823, 741, 1378, 12886, 543, 10054, 269, 1306, 5892, 5018, 267, 2890, 12000, 11306, 3335, 6565, 689, 17499, 4978, 2864, 982, 17351, 8247, 269, 4935, 267, 2502, 609, 5339, 1568, 5627, 2890, 12000, 11306, 3091, 3255, 585, 26126, 267, 20872, 2055, 971, 607, 281, 1215, 1522, 594, 723, 2746, 539, 952, 594, 941, 538, 713, 1915, 781, 10887, 286, 1548, 5817, 6835, 1281, 713, 3948, 6655, 267, 543, 798, 594, 3180, 2147, 5784, 286, 18964, 1582, 18221, 1472, 2123, 12886, 8309, 547, 14237, 606, 8537, 1604, 1141, 3309, 5380, 616, 12595, 543, 15197, 780, 15563, 267, 5466, 2890, 12000, 11306, 538, 11174, 5708, 2488, 18817, 585, 17933, 543, 24343, 338, 1222, 269, 4841, 666, 1451, 2994, 547, 4161, 543, 4431, 547, 2890, 12000, 11306, 3927, 267, 1312, 1369, 5931, 543, 538, 3232, 1272, 269, 1358, 949, 849, 3343, 856, 6386, 602, 4099, 12790, 9739, 543, 24244, 8076, 11269, 540, 26173, 2516, 269, 11086, 267, 5807, 4656, 543, 2962, 4478, 2890, 12000, 11306, 16877, 2104, 5481, 547, 24905, 548, 1949, 540, 15746, 543, 3895, 1514, 5126, 780, 1103, 3932, 267, 18167, 883, 2890, 12000, 11306, 1369, 519, 2796, 540, 11174, 5708, 27862, 938, 8223, 540, 14882, 543, 10168, 1247, 5356, 3407, 4030, 883, 4207, 6848, 2152, 269, 1635, 3695, 519, 6946, 4296, 1063, 2890, 12000, 11306, 267, 28622, 267, 1582, 26190, 267, 543, 17933, 267, 1053, 15052, 741, 7071, 585, 3309, 2833, 543, 3479, 2933, 547, 2870, 513, 811, 12581, 1158, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 19061, 717, 9790, 6199, 781, 589, 16684, 18361, 540, 2296, 22439, 267, 676, 30546, 674, 599, 17566, 901, 26496, 568, 585, 519, 946, 540, 4896, 9170, 693, 1100, 1942, 543, 609, 3592, 1100, 9993, 31049, 269, 1411, 949, 5299, 621, 267, 2285, 621, 2476, 610, 556, 14025, 621, 896, 519, 2474, 540, 519, 5741, 717, 9790, 6199, 17821, 3769, 609, 713, 26496, 610, 2228, 693, 8940, 3052, 9790, 6199, 3820, 7170, 281, 589, 16684, 18361, 540, 2296, 22439, 8191, 281, 30546, 674, 599, 17566, 24793, 11261, 281, 4864, 476, 1691, 267, 476, 1001, 272, 1496, 292, 9349, 1948, 24907, 7761, 316, 5678, 281, 2296, 10886, 1305, 17683, 281, 32412, 2862, 2878, 265, 5254, 11286, 5508, 24199, 11550, 297, 17614, 717, 7473, 2894, 21612, 294, 661, 19447, 10498, 645, 6020, 9128, 670, 13263, 19447, 10498, 5508, 17628, 299, 23360, 27483, 295, 27633, 2878, 265, 21277, 1027, 676, 22526, 1677, 345, 1512, 267, 9291, 1677, 345, 1512, 267, 15623, 5453, 26293, 543, 519, 6732, 20518, 3176, 19577, 15105, 12243, 693, 4179, 2517, 4178, 4877, 326, 31389, 14492, 454, 289, 312, 13013, 290, 2752, 14174, 312, 5084, 4456, 306, 454, 295, 5495, 294, 12487, 2177, 267, 631, 9281, 14566, 2562, 6730, 19766, 3198, 312, 454, 6124, 3840, 281, 476, 1556, 5101, 1530, 1203, 7570, 9335, 454, 763, 23117, 728, 4964, 267, 11062, 454, 3528, 13013, 290, 2752, 14174, 312, 5084, 4456, 306, 563, 5472, 2924, 11603, 563, 763, 23117, 728, 4964, 267, 11062, 912, 16978, 549, 1399, 6244, 543, 7179, 539, 676, 670, 269, 744, 269, 670, 32080, 1299, 3213, 563, 299, 3855, 547, 8191, 8745, 1101, 5022, 454, 1607, 5618, 25156, 568, 5497, 1138, 335, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 19859, 12000, 11306, 257, 607, 851, 540, 834, 16300, 16337, 1315, 4317, 21771, 1315, 2776, 9080, 823, 1299, 32641, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 769, 2487, 1296, 267, 972, 814, 1044, 3395, 6161, 827, 519, 1764, 540, 1514, 2923, 543, 3059, 4066, 593, 519, 5626, 8171, 540, 1762, 1004, 267, 3226, 538, 6935, 547, 741, 1582, 12635, 543, 3961, 1646, 269, 901, 568, 2523, 3020, 585, 12790, 5095, 971, 607, 11806, 266, 6107, 267, 945, 1419, 1995, 2789, 3029, 540, 7130, 1759, 593, 12969, 532, 3344, 540, 741, 9163, 630, 324, 3052, 1421, 5198, 267, 4008, 267, 4638, 10066, 1040, 1677, 1174, 891, 2152, 811, 4628, 267, 621, 568, 1271, 547, 4983, 519, 1523, 540, 28622, 543, 922, 2078, 547, 2789, 12102, 2566, 3069, 780, 11328, 7611, 1275, 4016, 547, 519, 2856, 602, 2043, 945, 4866, 547, 2789, 12790, 2516, 630, 7945, 607, 1373, 1312, 20210, 543, 513, 1268, 540, 2681, 264, 1995, 2189, 3029, 540, 15746, 602, 3112, 581, 6956, 676, 6313, 1142, 1106, 540, 15746, 538, 10072, 269, 5502, 267, 891, 2833, 1590, 581, 8947, 998, 606, 10167, 531, 7828, 602, 3217, 883, 2272, 519, 2081, 538, 799, 1114, 3029, 540, 15746, 2170, 609, 543, 7623, 835, 1776, 269, 1280, 1383, 267, 1382, 814, 3254, 602, 11806, 266, 6107, 540, 2681, 616, 693, 2362, 1981, 585, 2790, 1072, 2042, 982, 2901, 10636, 18400, 6107, 540, 2681, 610, 3043, 11806, 266, 6107, 269, 901, 5267, 602, 519, 4999, 540, 10168, 543, 4630, 22785, 666, 723, 513, 19469, 2942, 1198, 593, 2790, 1072, 4093, 780, 21296, 12102, 2566, 3069, 13976, 2390, 713, 2856, 676, 1064, 1746, 602, 2818, 540, 12790, 2516, 1995, 5312, 2566, 1813, 547, 519, 3232, 31484, 956, 543, 2890, 12000, 11306, 2404, 609, 2713, 538, 513, 2486, 602, 5806, 7149, 1996, 873, 269, 1452, 21500, 666, 1491, 1082, 3029, 267, 1519, 14882, 267, 7130, 267, 16663, 267, 543, 4835, 1242, 15746, 269, 3194, 814, 9846, 3254, 602, 4598, 547, 891, 21500, 568, 5532, 547, 4057, 2790, 1072, 4093, 267, 1519, 1970, 1582, 12635, 543, 4965, 780, 3383, 875, 1281, 782, 540, 713, 9305, 547, 1514, 2923, 946, 1851, 11806, 266, 6107, 286, 2201, 519, 835, 1688, 267, 1514, 2923, 5867, 666, 1683, 3407, 2200, 585, 4276, 543, 1489, 585, 11806, 266, 6107, 945, 949, 6560, 547, 1265, 10343, 543, 2146, 538, 741, 22356, 2729, 269, 4317, 2923, 666, 849, 4196, 607, 513, 3760, 585, 17933, 543, 14223, 267, 3850, 12790, 9739, 547, 581, 4862, 543, 28659, 269, 1717, 267, 1514, 2923, 666, 849, 22652, 4606, 540, 20420, 267, 10072, 267, 543, 18349, 267, 3226, 952, 3755, 616, 6534, 547, 20935, 610, 25641, 8292, 269, 5015, 267, 1514, 2923, 6620, 1419, 3895, 1543, 602, 25040, 8789, 2686, 6386, 1472, 5898, 267, 1967, 267, 543, 8560, 267, 799, 666, 3565, 547, 1560, 27025, 8351, 543, 1582, 268, 15953, 2305, 1851, 7925, 6107, 780, 2690, 11806, 266, 6107, 540, 2681, 267, 891, 2591, 949, 581, 1256, 811, 14733, 269, 3194, 814, 3254, 602, 11806, 266, 6107, 540, 2681, 616, 25409, 6719, 593, 1514, 2923, 5867, 267, 1141, 789, 616, 1419, 16271, 547, 22457, 543, 4630, 2684, 11131, 18275, 269, 5047, 267, 1317, 13416, 11269, 540, 11806, 266, 2950, 4043, 547, 581, 13856, 676, 3043, 267, 28250, 14054, 267, 2111, 1532, 617, 1221, 2367, 267, 11806, 266, 6107, 540, 2681, 949, 6560, 547, 1294, 2933, 10630, 538, 891, 5624, 269, 1306, 513, 1267, 267, 789, 949, 1745, 16934, 267, 15865, 267, 610, 23380, 730, 267, 3056, 547, 8519, 1582, 12635, 543, 2799, 13438, 547, 2790, 1072, 2042, 780, 2414, 2232, 891, 2591, 267, 621, 568, 1898, 602, 7855, 267, 9439, 267, 543, 14519, 9772, 606, 10167, 531, 1935, 602, 17767, 519, 1950, 543, 15491, 2470, 540, 11806, 266, 6107, 781, 2833, 269, 901, 1522, 4125, 3384, 15520, 17841, 21195, 602, 6451, 3309, 5380, 543, 12583, 267, 3246, 2922, 543, 8537, 5624, 585, 4901, 543, 5188, 267, 543, 4101, 11528, 7496, 602, 28511, 8635, 543, 30886, 269, 3958, 267, 3646, 1058, 581, 1500, 547, 2333, 6041, 543, 15287, 540, 11806, 266, 6107, 540, 2681, 538, 2923, 543, 2442, 2528, 267, 543, 547, 4161, 5739, 11475, 543, 10054, 602, 12927, 8789, 1379, 3889, 780, 1103, 2474, 540, 4052, 2994, 585, 5009, 2318, 1582, 12635, 543, 3961, 1646, 1851, 11806 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 609, 513, 1715, 926, 29535, 2329, 1634, 607, 962, 558, 926, 269, 5274, 7919, 540, 22186, 332, 663, 340, 723, 513, 1434, 942, 713, 6735, 676, 1210, 5356, 962, 558, 926, 547, 7788, 777, 1248, 320, 267, 31001, 540, 6980, 3400, 1231, 547, 9684, 1200, 585, 519, 7556, 789, 4076, 1185, 269, 2311, 519, 10543, 267, 1453, 3643, 835, 7450, 547, 824, 267, 31392, 962, 558, 926, 563, 312, 558, 926, 2965, 18922, 883, 968, 307, 7360, 29968, 6100, 898, 568, 513, 1476, 1254, 540, 9241, 19122, 7573, 7912, 14859, 4646, 899, 4453, 267, 543, 2407, 540, 28140, 877, 5452, 543, 6960, 29647, 4006, 267, 799, 568, 2848, 3139, 2663, 269, 5274, 7919, 3858, 609, 602, 962, 558, 926, 3217, 2476, 519, 4411, 269, 4746, 621, 779, 2484, 7150, 602, 519, 3476, 519, 962, 558, 926, 779, 2766, 568, 267, 519, 10156, 519, 530, 842, 787, 4365, 568, 269, 769, 930, 4025, 267, 899, 670, 926, 590, 1342, 6062, 543, 634, 11155, 267, 10723, 9633, 539, 23929, 616, 12913, 269, 634, 3377, 3060, 849, 22316, 962, 558, 926, 538, 3337, 540, 1114, 2732, 625, 630, 324, 14371, 269, 700, 1314, 14741, 267, 918, 21310, 267, 717, 6951, 327, 267, 543, 1082, 1866, 4700, 1358, 2119, 713, 607, 513, 3239, 540, 20174, 547, 741, 24587, 269, 962, 558, 926, 568, 4749, 538, 6476, 547, 519, 3047, 269, 634, 1079, 5011, 540, 962, 558, 926, 17538, 519, 3345, 543, 3162, 24504, 563, 2419, 327, 987, 568, 849, 835, 540, 519, 1292, 9699, 15976, 540, 18310, 2523, 9976, 538, 6833, 2967, 3148, 269, 898, 568, 2944, 693, 519, 476, 277, 628, 1554, 540, 918, 691, 1731, 630, 19751, 21610, 4912, 264, 538, 1899, 609, 519, 9699, 16130, 25038, 267, 543, 585, 713, 2601, 568, 2016, 519, 1289, 607, 932, 327, 987, 630, 6518, 3294, 18922, 607, 15795, 538, 2296, 1040, 1809, 267, 621, 3884, 1406, 519, 15795, 1554, 540, 918, 691, 1731, 540, 519, 3339, 645, 1731, 1090, 590, 3711, 520, 13605, 8932, 25038, 267, 607, 789, 949, 581, 2370, 11108, 269, 1306, 606, 1383, 268, 932, 327, 987, 1612, 11445, 585, 713, 1032, 568, 5812, 609, 519, 13605, 8932, 25038, 568, 593, 631, 836, 3333, 597, 476, 272, 563, 763, 513, 22273, 5534, 932, 327, 987, 10658, 10937, 568, 2944, 3274, 547, 9684, 3141, 2696, 585, 9494, 543, 10123, 5329, 1272, 593, 519, 4541, 269, 898, 568, 7150, 3859, 2696, 12196, 525, 741, 25058, 525, 609, 5265, 5630, 267, 13884, 543, 8788, 269, 932, 327, 987, 568, 711, 513, 5347, 14679, 2705, 513, 13542, 727, 2616, 766, 799, 2115, 547, 581, 10483, 998, 25058, 525, 269, 634, 4996, 10937, 543, 12738, 593, 519, 7222, 2395, 616, 6131, 547, 590, 1722, 320, 267, 918, 691, 1731, 267, 3397, 14269, 543, 932, 327, 27821, 2904, 5984, 6606, 563, 763, 6240, 12738, 540, 519, 3003, 13037, 1491, 3148, 593, 519, 15795, 543, 18749, 1554, 538, 519, 1576, 540, 519, 1744, 4157, 5055, 623, 27232, 320, 610, 14589, 532, 5123, 540, 7599, 269, 634, 2629, 12738, 7854, 7453, 17509, 543, 17008, 547, 3859, 2696, 593, 5757, 2883, 9872, 610, 15798, 728, 269, 898, 779, 849, 5156, 602, 519, 932, 327, 987, 4996, 10937, 8309, 593, 23646, 1524, 519, 30333, 1184, 3842, 519, 25058, 525, 563, 2026, 30782, 568, 519, 6574, 7332, 13037, 543, 18562, 621, 779, 835, 540, 519, 7887, 15976, 540, 18310, 585, 13605, 8932, 12356, 607, 1134, 269, 898, 3217, 1747, 593, 519, 476, 280, 628, 3923, 540, 5771, 779, 16264, 11706, 267, 513, 1062, 799, 12034, 1169, 3923, 2253, 593, 519, 8289, 532, 540, 519, 6216, 1007, 7599, 269, 769, 1899, 609, 513, 1906, 10453, 267, 519, 3923, 568, 1767, 547, 581, 519, 1152, 538, 799, 519, 15878, 685, 534, 4957, 883, 1101, 1336, 856, 267, 1818, 621, 519, 2868, 5006, 543, 1034, 10723, 3923, 585, 12356, 269, 634, 2656, 568, 5497, 547, 4163, 519, 13991, 4724, 2696, 543, 547, 7618, 873, 540, 519, 7092, 540, 891, 1454, 1447, 18822, 563, 15404, 32093, 4749, 24946, 547, 1347, 885, 2429, 519, 3923, 543, 3049, 519, 17237, 269, 674, 8463, 568, 849, 7298, 607, 606, 4316, 547, 16706, 538, 1582, 3146, 14259, 842, 267, 2973, 572, 519, 4555, 543, 1628, 513, 811, 4276, 609, 16589, 998, 11755, 602, 1223, 267, 538, 519, 1439, 267, 1267, 538, 4708, 269, 30782, 568, 513, 942, 547, 1033, 778, 689, 1158, 569, 5418, 9778, 543, 26256, 714, 766, 593, 835, 779, 19001, 269, 3509, 12356, 10571, 811, 11122, 8271, 693, 930, 3942, 538, 30782, 543, 6108, 811, 942, 693, 519, 9923, 4302, 982, 693, 1022, 824, 942, 540, 519, 476, 1321, 3275, 269, 12356, 849, 616, 31045, 547, 7747, 519, 2947, 1169, 1554, 19001, 593, 942, 543, 547, 4019, 741, 29987, 3274, 1354, 8840, 741, 3432, 344, 693, 31914, 1144, 547, 973, 924, 20845, 543, 14556, 1518, 1121, 27320, 540, 2696, 563, 1691, 264, 24755, 924, 667, 1662, 664, 454, 12024, 824, 9699, 15976, 540, 18310, 267, 24755, 924, 667, 1662, 664, 568, 849, 519, 2027, 835, 585, 519, 13605, 8932, 27734, 269, 898, 568, 9976, 16887, 538, 18310, 4481, 3330, 519, 3923, 540, 932, 7159, 571, 269, 3204, 12023, 607, 513, 811, 32249, 24107, 540, 519, 645, 3385, 667, 1662, 664, 267, 713, 13037, 568, 9976, 585, 476, 273, 2395, 267, 538, 519, 932, 7159, 571, 1744, 4157, 5055, 1306, 6255, 9564, 543, 715, 1177, 9564, 512, 603, 328, 267, 538, 5329, 609, 519, 13605, 8932, 25038, 269, 634, 1554, 540, 1306, 6255, 9564, 568, 1634, 607, 24755, 924, 667, 1662, 664, 630, 852, 711, 519, 1554, 540, 667, 1662, 664, 267, 547, 581, 2189, 267, 543, 621, 779, 829, 14658, 532, 1070, 543, 519, 1554, 540, 715, 1177, 9564, 568, 5219, 547, 607, 10548, 18937, 9564, 269, 634, 30254, 585, 519, 1306, 6255, 9564, 547, 581, 9976, 607, 24755, 924, 667, 1662, 664, 568, 1317, 693, 519, 1459, 942, 568, 2808, 547, 581, 4010, 476, 272, 270, 273, 513, 476, 1321, 3275, 267, 1775, 4318, 269, 14520, 3275, 1310, 519, 10067, 320, 268, 1662, 339, 9564, 563, 1607, 13037, 568, 2356, 519, 3803, 13037, 540, 519, 11706, 476, 1321, 3275, 269, 901, 6735, 568, 849, 1572, 932, 7159, 571, 268, 2026, 6255, 9564, 267, 610, 5842, 334, 667, 1662, 664, 538, 1034, 540, 519, 6753, 5180, 18310, 269, 3807, 899, 519, 3063, 667, 1662, 664, 267, 713, 13037, 10123, 23327, 519, 11802, 540, 4977, 936, 9409, 269, 28582, 1042, 547, 607, 24755, 924, 667, 1662, 664, 2523, 607, 621, 8813, 538, 519, 3923, 540, 932, 7159, 571, 267, 621, 1281, 1631, 711, 723, 7899, 2956, 607, 1114, 1292, 4023, 338, 4352, 621, 568, 1572, 607, 2048, 291, 1662, 664, 8730, 2705, 18562, 621, 3947, 606, 5140, 1259, 540, 5428, 4481, 547, 519, 1053, 4171, 1153, 15360, 7475, 676, 1287, 563, 294, 611, 29538, 2967, 568, 513, 9699, 13037, 799, 16569, 585, 513, 3923, 267, 543, 568, 17618, 1634, 607, 835, 538, 782, 519, 4102, 26718, 15976, 538, 519, 3486, 267, 1310, 21175, 543, 661, 573, 269, 634, 13037, 568, 1634, 607, 1310, 717, 611, 29538, 2967, 13527, 630, 7474, 779, 3294, 3957, 1310, 519, 9699, 15831, 540, 9838, 1289, 1070, 543, 6013, 538, 645, 926, 344, 777, 584, 8498, 540, 4446, 320, 8664, 267, 8828, 851, 540, 18310, 269, 634, 6735, 568, 4922, 1634, 1934, 1169, 476, 276, 1296, 269, 634, 1079, 2395, 540, 519, 13037, 616, 5302, 27935, 585, 519, 26718, 540, 12292, 543, 5017, 267, 799, 7854, 20873, 531, 3996, 267, 23161, 267, 25190, 976, 267, 535, 25717, 14918, 543, 7899, 540, 1866, 563, 763, 26718, 568, 5340, 547, 10508, 519, 31001, 717, 611, 29538, 2967, 267, 799, 568, 2219, 547, 1831, 13854, 609, 519, 15093, 543, 1973, 338, 1117, 540, 519, 2831, 269, 634, 2489, 1857, 540, 25058, 525, 4947, 689, 519, 8832, 2829, 540, 24505, 543, 4437, 9618, 538, 3127, 267, 972, 616, 1896, 1114, 25058, 525, 689, 18310, 543, 1114, 2694, 540, 3127, 607, 23182, 269, 20523, 982, 1079, 4627, 16921, 5645, 856, 519, 9161, 6146, 902, 972, 267, 543, 585, 713, 1032, 267, 519, 2179, 568, 930, 2897, 1472, 1614, 4627, 269, 634, 2831, 543, 5017, 616, 7166, 676, 32639, 543, 1114, 2147, 8325, 15963, 269, 634, 2489, 1857, 540, 519, 2831, 616, 16865, 689, 3127, 267, 543, 3875, 789, 616, 11751, 689, 519, 2199, 6705, 998, 519, 25058, 525, 607, 5265, 563, 1626, 264, 12312, 600, 700, 327, 657, 541, 454, 306, 517, 600, 700, 327, 657, 541, 568, 835, 540, 519, 1271, 15976, 540, 18310, 543, 2523, 12851, 547, 23111, 836, 6803, 2516, 540, 18310, 269, 634, 13037, 568, 9976, 607, 606, 8317, 540, 1376, 540, 513, 6216, 1007, 476, 1321, 3275, 269, 2048, 299, 14833, 685, 1259, 1032, 543, 2048, 306, 541, 685, 6073, 1007, 610, 4195, 952, 12261, 267, 543, 519, 8360, 2048, 306, 517, 600, 685, 568, 7150, 519, 23111, 836, 1004, 538, 18310, 267, 18867, 519, 13037, 2048, 306, 517, 600, 700, 327, 657, 541, 685, 568, 519, 6216, 1007, 1032, 2680, 267, 2687, 547, 519, 11706, 10483, 3842, 23111, 836, 1004, 269, 901, 13037, 568, 5462, 998, 12102, 962, 565, 15879, 267, 667, 3120, 267, 519, 774, 752, 23653, 540, 18771, 836, 267, 519, 26541, 335, 23653, 267, 543, 519, 590, 1231, 553, 689, 590, 1678, 16852, 13195, 629, 3873, 538, 519, 22615, 18885, 3148, 563, 1103, 5329, 609, 519, 645, 1731, 1090, 590, 3711, 520, 13605, 8932, 11706, 267, 12312, 600, 700, 327, 657, 541, 8813, 693, 519, 3923, 540, 7395, 327, 630, 20464, 267, 5812, 609, 519, 15535, 20187, 11706, 1040, 634, 12312, 600, 700, 327, 657, 541, 8813, 593, 7395, 327, 1744, 4157, 5055, 623, 6545, 27256, 1169, 1032, 267, 2687, 547, 519, 16264, 11706, 269, 634, 12312, 600, 700, 327, 657, 541, 540, 713, 1032, 568, 519, 476, 29257, 280, 628, 700, 327, 657, 541, 540, 519, 3060, 269, 3933, 2120, 625, 616, 4482, 1947, 30996, 1639, 609, 7990, 995, 25798, 3615, 269, 18972, 1491, 25736, 689, 20577, 585, 1010, 610, 1200, 3356, 267, 13884, 543, 8788, 269, 634, 14026, 616, 4767, 676, 1210, 1434, 21092, 905, 6814, 538, 5321, 269, 667, 18805, 543, 19946, 616, 14376, 547, 1205, 3180, 540, 25736, 7258, 13868, 540, 26250, 902, 1851, 835, 1776, 563, 1704, 264, 23111, 340, 700, 327, 657, 541, 454, 307, 600, 340, 700, 327, 657, 541, 568, 513, 13037, 540, 717, 584, 2426, 3060, 267, 799, 568, 4922, 1634, 538, 18310, 269, 634, 942, 1974, 2048, 307, 600, 340, 685, 4016, 1394, 547, 519, 717, 584, 2426, 3425, 543, 519, 2165, 2048, 299, 327, 657, 541, 685, 18575, 11313, 6124, 476, 1321, 3275, 8730, 4061, 519, 23111, 340, 700, 327, 657, 541, 6735, 1935, 519, 6216, 1007, 1032, 540, 717, 584, 31258, 269, 901, 13037, 568, 9976, 538, 519, 476, 1428, 628, 540, 623, 748, 327, 630, 6518, 6013, 538, 5412, 610, 5130, 540, 519, 15535, 20187, 2836, 2658, 264, 1169, 1032, 267, 538, 1899, 609, 519, 13605, 8932, 25038, 267, 602, 568, 513, 1857, 543, 2229, 32751, 542, 782, 936, 18310, 269, 634, 6735, 568, 519, 4098, 540, 2048, 307, 600, 340, 590, 3711, 520, 8730, 519, 11706, 540, 519, 717, 584, 2426, 2146, 563, 763, 2048, 307, 600, 340, 700, 327, 657, 541, 685, 568, 11613, 519, 1292, 6735, 540, 519, 23111, 340, 1004, 269, 769, 713, 1554, 267, 519, 1920, 5171, 540, 782, 5481, 723, 513, 2462, 1205, 12258, 937, 1947, 267, 543, 723, 1187, 543, 556, 329, 4069, 676, 27300, 2648, 543, 26250, 902, 269, 769, 22186, 332, 663, 340, 267, 513, 2462, 7274, 540, 717, 584, 2426, 3425, 5531, 538, 570, 1495, 1731, 3559, 538, 22186, 332, 663, 340, 267, 538, 741, 13267, 543, 6678, 337, 16226, 2686, 10571, 269, 1280, 713, 267, 789, 2445, 538, 513, 1455, 25610, 543, 4183, 513, 1906, 2686, 15004, 899, 1818, 513, 5152, 543, 15472, 538, 519, 1004, 8964, 607, 1134, 269, 1358, 1685, 1896, 12738, 538, 570, 1495, 1731, 3559, 3330, 519, 1554, 267, 609, 2686, 15961, 269, 769, 519, 14252, 267, 519, 3425, 18645, 538, 741, 1330, 1399, 1841, 547, 8661, 519, 6735, 563, 12385, 5984, 568, 513, 3339, 6735, 540, 1715, 541, 3060, 540, 700, 531, 527, 20580, 799, 538, 1715, 926, 1935, 519, 4023, 338, 540, 8654, 269, 901, 13858, 6735, 6238, 1055, 5271, 9407, 2038, 3330, 519, 6640, 593, 519, 3791, 1554, 540, 519, 4158, 880, 6830, 9519, 540, 1744, 3863 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14113, 1223, 723, 834, 30138, 23568, 8733, 543, 2825, 4539, 2437, 519, 3173, 5206, 563, 10454, 9436, 602, 649, 4019, 547, 6694, 4610, 3085, 1405, 3251, 593, 1346, 4610, 267, 543, 11626, 9436, 18254, 3085, 1405, 3251, 676, 519, 1379, 2030, 602, 12958, 621, 2437, 1767, 2160, 540, 13325, 2030, 7350, 7548, 15576, 344, 1261, 987, 2073, 945, 3366, 519, 1353, 609, 26391, 700, 879, 2073, 540, 12309, 3557, 2160, 269, 834, 3383, 713, 960, 568, 711, 1175, 827, 513, 6992, 1242, 29704, 2361, 269, 2622, 4204, 267, 519, 9436, 4783, 568, 1055, 269, 1284, 4312, 4957, 621, 21739, 4799, 8253, 602, 1279, 3516, 267, 1354, 519, 4417, 540, 4853, 18168, 543, 519, 7839, 946, 540, 8093, 10173, 267, 3037, 9436, 729, 513, 17077, 20161, 269, 2368, 2371, 267, 519, 22053, 267, 1336, 513, 1259, 547, 23144, 519, 10475, 9436, 789, 2877, 910, 689, 29127, 14113, 563, 10454, 29127, 14113, 4368, 9436, 910, 689, 11626, 9436, 602, 649, 2811, 7244, 538, 543, 856, 782, 519, 942, 910, 547, 2030, 268, 19989, 3029, 2437, 1261, 987, 1767, 269, 834, 5522, 1218, 666, 1405, 1175, 1491, 621, 909, 689, 519, 5790, 282, 789, 723, 547, 1205, 621, 538, 519, 1106, 540, 24277, 610, 16139, 1756, 4799, 1103, 2132, 267, 22053, 12062, 519, 29127, 14113, 538, 741, 5072, 543, 3761, 873, 609, 3327, 269, 901, 11450, 2640, 519, 4551, 543, 3947, 22053, 606, 5413, 538, 9436, 1790, 3233, 11934, 269, 19881, 2090, 723, 3254, 602, 9436, 18168, 666, 1860, 519, 4763, 540, 2249, 602, 1332, 538, 2067, 2127, 267, 1261, 987, 1767, 269, 769, 2127, 26130, 609, 13226, 20359, 267, 585, 1383, 267, 22053, 7771, 1247, 824, 2371, 1831, 811, 1455, 563, 1103, 519, 1007, 2079, 267, 1261, 987, 543, 1200, 9164, 6743, 693, 3670, 1279, 3856, 8733, 1382, 4610, 693, 12309, 3557, 2160, 781, 918, 749, 17344, 18143, 13749, 269, 5565, 8097, 13602, 941, 4092, 538, 1142, 540, 3670, 1114, 4610, 269, 2290, 4729, 538, 1142, 2361, 1185, 1044, 6992, 1242, 609, 9436, 585, 811, 982, 1079, 5756, 282, 519, 824, 267, 513, 1852, 4729, 267, 1185, 2760, 1044, 6992, 1242, 563, 763, 3173, 9678, 29127, 14113, 689, 519, 12162, 2737, 540, 22053, 538, 6992, 1242, 543, 4652, 23459, 1242, 13602, 269, 769, 513, 8511, 4603, 267, 789, 7318, 875, 891, 4551, 6766, 1850, 2541, 2208, 543, 1072, 269, 634, 3173, 1336, 602, 519, 2371, 6738, 609, 519, 9436, 7721, 12723, 29127, 14113, 3812, 476, 1704, 547, 476, 1789, 2600, 1447, 13947, 543, 3648, 1447, 28060, 982, 2371, 6738, 609, 29127, 14113, 689, 519, 4652, 23459, 1242, 13602, 563, 288, 4719, 2079, 540, 519, 17973, 7000, 602, 519, 5888, 540, 519, 9190, 5095, 729, 2147, 1063, 6992, 1242, 543, 4652, 23459, 1242, 13602, 281, 634, 1482, 3885, 540, 29127, 14113, 941, 1459, 538, 1142, 269, 1809, 29127, 14113, 689, 519, 6992, 1242, 13602, 1185, 7960, 538, 513, 1259, 602, 1500, 873, 1447, 3730, 547, 519, 22053, 267, 1261, 987, 1767, 563, 21893, 1353, 6645, 721, 1945, 827, 8994, 3359, 543, 875, 789, 7960, 2437, 1352, 1767, 269, 834, 300, 583, 783, 3359, 4096, 593, 713, 3666, 540, 4123, 1063, 519, 4891, 267, 713, 2027, 9436, 28003, 4346, 538, 519, 3037, 267, 585, 1383, 269, 1656, 950, 519, 4346, 2242, 910, 2161, 950, 9436, 568, 1100, 3476, 17077, 910, 891, 8994, 3359, 1522, 979, 2476, 4799, 763, 1382, 2319, 849, 3769, 667, 2643, 534, 1284, 3150, 267, 540, 12309, 3557, 2160, 543, 853, 269, 19264, 13427, 2160, 282, 21563, 333, 19239, 5424, 267, 540, 519, 9576, 15636, 23307, 25052, 267, 538, 5080, 9445, 267, 5177, 282, 543, 26391, 700, 879, 267, 540, 12309, 3557, 2160, 563, 763, 2817, 3163, 7690, 6462, 713, 1382, 563, 2414, 3914, 15576, 344, 1261, 987, 267, 1289, 476, 24241, 268, 25228, 268, 276, 5325, 274, 282, 4757, 4757, 11333, 2593, 563, 763, 1957, 267, 834, 16524, 3856, 9436, 1840, 3123, 519, 4720, 540, 1447, 18756, 8994, 1235, 2437, 568, 2139, 2228, 610, 689, 519, 772, 269, 540, 594, 269, 5240, 13163, 563, 291, 10005, 962, 919, 1923, 2160, 540, 13325, 454, 6124, 476, 274, 5937, 2203, 25221, 1655, 9544, 2853, 585, 6705, 454, 2918, 269, 6187, 269, 1001, 278, 1923, 14161, 681, 269, 654, 334, 3150, 4659, 585, 2637, 5669, 10334, 267, 2160, 540, 13325, 693, 12124, 320, 16644, 2086, 5218, 454, 293, 18017, 513, 16160, 7693, 2068, 609, 6128, 454, 2641, 269, 6187, 269, 1001, 278, 1923, 2160, 540, 11062, 454, 2304, 3486, 2319, 540, 3744, 814, 6069, 513, 1007, 3818, 16162, 9918, 1935, 538, 799, 606, 5044, 540, 1007, 4066, 786, 1450, 721, 547, 4786, 9265, 543, 519, 4220, 602, 7320, 568, 6849, 693, 519, 4336, 540, 2898, 8916, 269, 634, 4681, 616, 3370, 538, 7186, 17905, 543, 12472, 269, 901, 3486, 1382, 568, 3366, 676, 519, 31311, 2719, 4659, 540, 25672, 1108, 689, 3624, 267, 2160, 540, 5101, 4911, 20377, 267, 2160, 540, 2274, 1182, 614, 543, 519, 2274, 30519, 714, 4659, 585, 25089, 543, 13812, 3194, 563, 8794, 513, 4999, 540, 9682, 543, 2666, 1239, 267, 519, 2319, 23083, 602, 621, 568, 1631, 2009, 547, 4786, 9265, 609, 606, 6111, 602, 814, 711, 1044, 5892, 2483, 28959, 30335, 538, 519, 11848, 267, 3476, 5712, 540, 10664, 538, 2342, 267, 4049, 17160, 538, 4639, 4000, 1107, 4358, 538, 476, 1708, 272, 267, 3744, 1616, 547, 2263, 519, 5434, 540, 519, 8511, 3154, 15655, 609, 519, 4436, 6363, 3402, 9682, 631, 2207, 299, 2562, 269, 901, 568, 1500, 2009, 676, 513, 1007, 7347, 8955, 1062, 540, 519, 29163, 4659, 585, 21558, 5303, 14889, 307, 538, 589, 659, 1156, 267, 799, 31267, 13778, 6482, 6111, 563, 300, 996, 2033, 568, 5097, 519, 1267, 540, 519, 17883, 540, 5214, 2339, 269, 634, 3154, 814, 513, 476, 1839, 2053, 3152, 8337, 1761, 982, 3327, 8166, 267, 855, 568, 711, 607, 2483, 22134, 4088, 568, 9833, 607, 519, 1648, 2707, 540, 519, 2104, 281, 898, 568, 3812, 609, 3859, 1379, 543, 666, 581, 1031, 547, 5352, 3002, 543, 5201, 538, 4492, 2281, 269, 5927, 320, 3173, 723, 1631, 16309, 538, 29852, 519, 3350, 540, 7250, 12274, 538, 14848, 1107, 513, 1883, 1900, 2509, 811, 3608, 1648, 7503, 538, 519, 7250, 2872, 540, 14182, 563, 2026, 5279, 19057, 267, 9211, 543, 12274, 1404, 519, 3056, 1909, 538, 6850, 23755, 1648, 4859, 3457, 543, 4780, 1562, 971, 607, 9075, 543, 4492, 2281, 269, 1160, 2023, 2483, 14722, 689, 519, 28742, 1849, 13831, 17807, 693, 519, 32400, 5336, 1314, 574, 559, 2103, 268, 26536, 28059, 22540, 723, 2374, 331, 2213, 834, 290, 657, 332, 578, 20623, 1636, 531, 2580, 513, 2189, 1239, 8998, 585, 14421, 1670, 13502, 4092, 693, 519, 2274, 30519, 714, 8111, 28669, 532, 10418, 630, 28384, 313, 264, 540, 519, 28554, 4115, 9142, 540, 7070, 269, 634, 2347, 2164, 540, 513, 3126, 540, 1804, 8652, 323, 3428, 673, 14421, 1670, 13502, 616, 2139, 267, 609, 1239, 12531, 3335, 23630, 1896, 4627, 1768, 17879, 5052, 269, 12207, 5001, 666, 2170, 1947, 2263, 891, 1950, 13502, 3842, 513, 1357, 8818, 543, 2047, 1569, 519, 2164, 563, 4415, 1699, 24985, 267, 3744, 666, 7747, 938, 17807, 779, 15270, 543, 14925, 13421, 543, 741, 3892, 2059, 606, 15865, 17184, 1357, 269, 3245, 519, 2483, 307, 17687, 7403, 2009, 1256, 593, 519, 10545, 4336, 1315, 17449, 6299, 344, 585, 946, 538, 1570, 9443, 267, 7350, 267, 543, 4915, 454, 290, 1335, 1235, 693, 29312, 717, 9790, 6199, 2160, 6301, 345, 630, 297, 294, 308, 264, 538, 9316, 609, 3173, 540, 519, 4436, 8549, 4659, 585, 10049, 3194, 543, 13281, 630, 289, 4456, 264, 2483, 866, 269, 6187, 269, 1001, 278, 1923, 7926, 5240, 454, 1724, 269, 6187, 269, 1001, 278, 1923, 7926, 5240, 454, 1724, 269, 6187, 269, 1001, 278, 1923, 7926, 5240, 454, 2918, 269, 6187, 269, 1001, 278, 1923, 5020, 7070, 454, 2918, 269, 6187, 269, 1001, 278, 1923, 8212, 543, 18395, 454, 2918, 269, 6187, 269, 1001, 278, 1923, 6176, 5303, 0, 6124, 15601, 2126, 689, 1455, 10786, 454, 288, 1007, 4550, 268, 615, 6647, 8665, 6508, 689, 513, 1455, 10786, 3927, 13000, 543, 11151, 519, 2068, 538, 2831, 269, 12824, 689, 18243, 327, 748, 773, 2160, 538, 25429, 32108, 1459, 741, 1239, 2221, 693, 519, 476, 9818, 6113, 4937, 20051, 540, 519, 1977, 5980, 585, 31814, 563, 257, 7468, 684, 7578, 5175, 3258, 529, 1496, 10193, 1634, 607, 1582, 13463, 531, 316, 568, 513, 21064, 2030, 4122, 1336, 538, 3624, 267, 519, 3703, 1772, 956, 267, 2342, 267, 543, 3345, 3013, 269, 769, 16909, 3332, 267, 623, 269, 5175, 3258, 529, 814, 1044, 4330, 607, 513, 3905, 1216, 30376, 547, 1521, 21399, 538, 519, 5023, 543, 11563, 267, 607, 606, 513, 11415, 550, 585, 4835, 543, 5007, 5301, 267, 607, 513, 19020, 4550, 2275, 22083, 3075, 267, 543, 607, 513, 16909, 16185, 547, 2539, 1164, 1973, 2604, 2437, 3081, 14576, 10557, 267, 835, 540, 519, 3173, 593, 519, 1353, 563, 299, 2465, 543, 1010, 9164, 13939, 513, 31429, 514, 21307, 8510, 3433, 7623, 689, 519, 2030, 267, 799, 729, 11368, 883, 513, 22521, 8645, 543, 7318, 593, 8983, 543, 25647, 14918, 609, 8097, 15601, 2241, 343, 3644, 268, 272, 630, 9391, 309, 268, 272, 264, 543, 15601, 2241, 343, 3644, 268, 273, 630, 9391, 309, 268, 273, 264, 5563, 269, 19892, 14918, 8391, 519, 31429, 514, 21307, 8510, 3433, 1950, 8645, 2126, 4951, 513, 1713, 5786, 538, 2960, 15087, 3379, 547, 1346, 602, 4607, 1100, 2126, 269, 631, 823, 8391, 519, 31429, 514, 21307, 8510, 3433, 1950, 8645, 2126, 4951, 513, 1713, 2333, 538, 6668, 2557, 3379, 547, 2831, 602, 4607, 1100, 2126, 563, 10454, 4550, 6953, 306, 309, 7623, 689, 623, 269, 5175, 3258, 529, 568, 513, 3209, 31429, 514, 21307, 8510, 3433, 1950, 609, 14984, 2534, 1996, 23034, 268, 272, 543, 23034, 268, 273, 543, 814, 513, 1114, 4550, 268, 615, 6647, 7271, 982, 1035, 5670, 990, 597, 267, 519, 1699, 4791, 4550, 268, 615, 6647, 3075, 2437, 3081, 10557, 269, 834, 11693, 519, 1164, 11841, 540, 15601, 3968, 543, 519, 11944, 540, 1035, 5670, 990, 597, 15033, 12490, 540, 15601, 8290, 267, 519, 2398, 684, 7578, 31429, 514, 21307, 8510, 3433, 1950, 949, 6961, 547, 581, 513, 3730, 1007, 4550, 268, 615, 6647, 3075, 4799, 1607, 5305, 568, 513, 5758, 540, 513, 6881, 689, 519, 476, 9818, 6113, 4937, 20051, 540, 519, 1977, 5980, 585, 31814, 267, 2904, 476, 1240, 268, 2420, 267, 476, 1220, 274, 267, 538, 6115, 267, 9823, 269, 16952, 1344, 593, 891, 543, 824, 14245, 693, 519, 476, 9818, 6113, 6789, 300, 4937, 20051, 666, 581, 1336, 2228, 693, 5291, 2517, 4178, 269, 11047, 3820, 19072, 4215, 27651, 269, 5684, 286, 321, 573, 284, 10204, 7871, 610, 676, 32296, 13343, 590, 2993, 11445, 630, 14140, 4067, 17106, 11333, 3820, 264, 538, 519, 6789, 300, 8433, 540, 18058, 269, 634, 6049, 1297, 585, 519, 4937, 20051, 4964, 18740, 568, 630, 1708, 264, 476, 27149, 268, 32076, 275, 543, 786, 581, 3742, 689, 476, 1321, 281, 876, 29869, 29269, 267, 2904, 476, 1240, 2394, 476, 1321, 281, 876, 29869, 29269, 267, 2904, 476, 2420, 563, 297, 574, 590, 2993, 11445, 1923, 31823, 2336, 763, 1034, 2487, 2046, 13847, 827, 5647, 21188, 454, 291, 773, 1577, 345, 1084, 476, 276, 10312, 268, 21158, 964, 10124, 3146, 7964, 708, 3331, 506, 828, 321, 5585, 912, 2304, 3486, 2319, 540, 3744, 814, 6069, 513, 1007, 3818, 16162, 9918, 1935, 538, 799, 606, 5044, 540, 1007, 4066, 786, 1450, 721, 547, 4786, 9265, 543, 519, 4220, 602, 7320, 568, 6849, 693, 519, 4336, 540, 2898, 8916, 269, 634, 4681, 616, 3370, 538, 7186, 17905, 543, 12472, 269, 901, 3486, 1382, 568, 3366, 676, 519, 31311, 2719, 4659, 540, 25672, 1108, 689, 3624, 267, 2160, 540, 5101, 4911, 20377, 267, 2160, 540, 2274, 1182, 614, 543, 519, 2274, 30519, 714, 4659, 585, 25089, 543, 13812, 3194, 563, 8794, 513, 4999, 540, 9682, 543, 2666, 1239, 267, 519, 2319, 23083, 602, 621, 568, 1631, 2009, 547, 4786, 9265, 609, 606, 6111, 602, 814, 711, 1044, 5892, 2483, 28959, 30335, 538, 519, 11848, 267, 3476, 5712, 540, 10664, 538, 2342, 267, 4049, 17160, 538, 4639, 4000, 1107, 4358, 538, 476, 1708, 272, 267, 3744, 1616, 547, 2263, 519, 5434, 540, 519, 8511, 3154, 15655, 609, 519, 4436, 6363, 3402, 9682, 631, 2207, 299, 2562, 269, 901, 568, 1500, 2009, 676, 513, 1007, 7347, 8955, 1062, 540, 519, 29163, 4659, 585, 21558 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 20025, 269, 0, 2791, 4076, 1044, 11292, 1863, 1569, 547, 713, 32224, 1152, 2376, 563, 307, 1410, 553, 568, 1631, 2220, 710, 20015, 3250, 2670, 1863, 454, 288, 4785, 2316, 301, 4534, 634, 772, 2529, 269, 4972, 540, 11982, 630, 4785, 6395, 264, 711, 1881, 519, 7147, 10960, 2657, 8189, 593, 2904, 476, 866, 602, 519, 1533, 540, 7147, 1185, 1044, 10294, 1863, 540, 2220, 710, 20015, 3250, 2670, 269, 7147, 729, 519, 2063, 1533, 547, 581, 13166, 10294, 1863, 540, 713, 2068, 676, 519, 22340, 563, 289, 745, 3250, 2670, 538, 2220, 710, 568, 3361, 676, 519, 4551, 25362, 3250, 320, 647, 529, 269, 901, 2068, 2356, 5540, 519, 10285, 8778, 538, 2220, 710, 267, 4611, 538, 8519, 16445, 2450, 799, 5012, 547, 2804, 2530, 585, 519, 16073, 269, 25362, 3250, 2670, 4551, 666, 849, 1860, 3425, 543, 568, 1634, 607, 968, 1495, 592, 656, 8611, 3034, 7712, 519, 4571, 268, 1960, 271, 779, 267, 7147, 1185, 9571, 1896, 7783, 2220, 710, 31459, 267, 543, 13178, 3646, 941, 2322, 883, 1198, 547, 16783, 609, 519, 3084, 1982, 4441, 269, 634, 13178, 3646, 3769, 2347, 23636, 4152, 540, 4299, 31459, 543, 2344, 2220, 710, 4152, 547, 14183, 519, 22340, 4170, 269, 19171, 9316, 1063, 519, 7147, 5010, 2220, 710, 2872, 267, 2199, 2220, 710, 12696, 267, 519, 7147, 623, 1251, 1160, 3027, 619, 5948, 267, 543, 519, 1533, 779, 3662, 1072, 10243, 6038, 3366, 547, 519, 1863, 4567, 17083, 563, 2108, 307, 1410, 553, 1373, 10294, 2220, 710, 20015, 3250, 2670, 1863, 568, 1434, 3377, 585, 519, 7147, 2220, 710, 2872, 2223, 1767, 3220, 269, 1546, 324, 32762, 267, 1533, 16943, 269, 968, 1607, 2962, 17212, 1407, 1978, 9993, 593, 519, 954, 8063, 3350, 540, 9960, 2220, 710, 689, 7147, 269, 1284, 786, 3136, 938, 13178, 3646, 267, 2705, 267, 547, 948, 2226, 7147, 685, 4210, 710, 25362, 3250, 2670, 5131, 4567, 3034, 2690, 811, 1344, 827, 2220, 710, 20015, 3250, 2670, 267, 3643, 5291, 2517, 339, 1695, 322, 269, 8063, 6745, 343, 30994, 270, 534, 2711, 318, 8234, 270, 1873, 710, 270, 1873, 710, 11258, 4586, 7312, 25709, 687, 543, 22227, 454, 6826, 519, 1101, 547, 6085, 593, 713, 1650, 2336, 2791, 1590, 581, 29429, 538, 547, 2022, 513, 6085, 563, 13070, 3472, 675, 4653, 19964, 454, 6826, 1030, 2298, 5870, 20029, 269, 476, 274, 630, 20826, 476, 273, 267, 476, 1001, 276, 994, 290, 578, 24742, 909, 2443, 887, 758, 625, 7584, 1851, 1655, 538, 1533, 630, 20826, 476, 273, 267, 476, 1001, 276, 994, 24979, 830, 13772, 281, 853, 18036, 12418, 630, 20826, 476, 273, 267, 476, 1001, 276, 994, 293, 1301, 619, 267, 678, 4545, 1667, 666, 1205, 6351, 630, 20826, 476, 273, 267, 476, 1001, 276, 994, 294, 1778, 5777, 547, 7771, 630, 20826, 476, 273, 267, 476, 1001, 276, 994, 295, 599, 1299, 1280, 720, 7797, 630, 20826, 476, 273, 267, 476, 1001, 276, 994, 31640, 267, 1869, 267, 31063, 2395, 1267, 538, 3484, 11432, 3165, 19754, 630, 20826, 476, 273, 267, 476, 1001, 276, 994, 7659, 2773, 10832, 666, 1291, 547, 12418, 12434, 630, 20826, 476, 273, 267, 476, 1001, 276, 994, 299, 12083, 10369, 18614, 630, 20826, 476, 273, 267, 476, 1001, 276, 994, 6124, 17180, 1876, 538, 1198, 630, 20826, 476, 273, 267, 476, 1001, 276, 994, 32153, 13032, 14964, 7024, 547, 12049, 518, 6506, 7921, 630, 20826, 476, 273, 267, 476, 1001, 276, 994, 306, 5652, 11903, 568, 10694, 3382, 5346, 630, 20826, 476, 273, 267, 476, 1001, 276, 994, 20826, 476, 1001, 276, 29972, 25038, 630, 20826, 476, 272, 267, 476, 1001, 276, 264, 0, 28606, 17067, 713, 3923, 267, 519, 2136, 8315, 5274, 7126, 7027, 267, 606, 954, 3766, 21194, 1560, 9901, 609, 30176, 1480, 2924, 1472, 519, 1158, 267, 9783, 513, 6571, 593, 519, 2956, 540, 519, 1920, 538, 8236, 4264, 1646, 563, 8601, 606, 3801, 676, 519, 2229, 540, 3162, 4000, 547, 7696, 1893, 602, 1131, 12799, 5431, 1482, 3023, 22888, 538, 519, 6167, 4214, 540, 1920, 267, 519, 3803, 6571, 7150, 602, 519, 834, 26967, 568, 519, 2067, 543, 4909, 1895, 1770, 540, 2486, 543, 568, 13886, 547, 4027, 676, 2486, 543, 519, 1533, 4799, 2171, 849, 3494, 602, 3885, 616, 4909, 4559, 540, 2486, 269, 1284, 10660, 1229, 519, 4367, 540, 1920, 4058, 538, 519, 17113, 543, 519, 12144, 811, 982, 476, 2568, 1296, 3516, 269, 6684, 267, 649, 3858, 602, 3885, 616, 13886, 547, 4027, 676, 2486, 543, 602, 4031, 1810, 1405, 3247, 693, 519, 4395, 7450, 540, 1004, 781, 5321, 281, 1491, 585, 1383, 519, 13766, 540, 4031, 1996, 4008, 2861, 5208, 543, 7130, 563, 3719, 649, 1810, 1405, 3494, 602, 1022, 3486, 11650, 1058, 610, 666, 3277, 547, 834, 1492, 1920, 257, 538, 513, 13737, 2631, 269, 634, 5168, 568, 602, 972, 616, 7899, 540, 4775, 32567, 10820, 267, 607, 1134, 607, 3885, 3366, 676, 22594, 267, 31225, 338, 610, 796, 3380, 267, 543, 16254, 269, 634, 1884, 1172, 730, 10206, 540, 513, 1920, 607, 513, 4807, 267, 812, 267, 543, 1453, 814, 849, 1044, 13934, 4534, 543, 6707, 4465, 4534, 676, 519, 3656, 1436, 540, 1482, 3023, 10073, 538, 2477, 899, 772, 2607, 340, 599, 267, 18335, 543, 6792, 269, 1656, 540, 1576, 267, 519, 2487, 10966, 7040, 3375, 3656, 1436, 540, 1482, 3023, 7365, 1200, 531, 4765, 519, 7004, 540, 7522, 8847, 540, 1920, 538, 519, 2136, 2276, 563, 8601, 891, 17993, 267, 585, 1296, 267, 15061, 4229, 723, 17808, 519, 8942, 676, 15156, 543, 6608, 547, 22962, 519, 4214, 540, 519, 1920, 538, 1585, 2136, 8315, 585, 320, 267, 10958, 532, 12725, 6738, 3646, 547, 3895, 519, 2924, 540, 782, 3885, 607, 513, 5097, 8832, 2861, 16786, 269, 1452, 3646, 723, 711, 1152, 10413, 519, 11144, 540, 3206, 693, 519, 2518, 1377, 827, 519, 1585, 3029, 602, 3885, 1491, 267, 855, 723, 3927, 3366, 547, 17181, 776, 4507, 543, 3526, 525, 269, 1656, 538, 5181, 267, 519, 15352, 4534, 945, 814, 15469, 519, 2956, 540, 519, 1920, 538, 1896, 585, 513, 4534, 568, 1305, 547, 7390, 519, 2622, 20051, 540, 19198, 538, 15740, 563, 5472, 3885, 4534, 2436, 2582, 1790, 1861, 267, 6074, 267, 1482, 20967, 267, 1126, 1652, 610, 2757, 4534, 723, 519, 1482, 1318, 547, 4027, 676, 519, 3557, 543, 519, 1318, 547, 11654, 8788, 543, 2661, 9108, 1510, 7130, 267, 5208, 543, 13842, 563, 2304, 1367, 781, 1560, 568, 741, 14500, 267, 543, 741, 1367, 13190, 543, 1134, 5630, 1058, 581, 15197, 543, 6870, 563, 8310, 3018, 267, 594, 1185, 519, 4316, 547, 7390, 519, 10131, 540, 3557, 540, 519, 2622, 781, 12429, 338, 520, 519, 2136, 8315, 269, 634, 1867, 267, 3812, 676, 519, 2518, 19710, 9093, 22512, 267, 2488, 606, 5140, 7650, 540, 2367, 781, 5107, 1369, 3885, 267, 538, 519, 1753, 267, 543, 538, 519, 1072, 1062, 269, 26361, 782, 267, 519, 1867, 8711, 519, 1249, 602, 14027, 4008, 7862, 711, 1152, 10607, 2021, 781, 2729, 855, 2640, 2367, 1932, 734, 16838, 950, 621, 1797, 4758, 909, 930, 540, 741, 22864, 563, 763, 595, 23879, 10985, 538, 476, 1960, 275, 267, 693, 799, 594, 12038, 267, 6444, 602, 2367, 543, 18971, 2877, 547, 581, 3238, 538, 519, 4638, 543, 10285, 1072, 26750, 269, 2311, 519, 19864, 10985, 538, 476, 1960, 276, 267, 1141, 594, 849, 12038, 267, 594, 24016, 602, 2367, 711, 581, 16618, 607, 649, 4359, 519, 4567, 543, 7862, 540, 2021, 543, 602, 2367, 781, 2115, 581, 6444, 269, 3767, 476, 736, 1296, 2663, 267, 634, 3557, 540, 519, 2622, 781, 12429, 338, 7797, 17767, 602, 18971, 543, 4651, 3125, 6927, 910, 585, 2367, 267, 585, 2021, 543, 585, 1453, 563, 24464, 945, 616, 3160, 3237, 609, 11299, 616, 18668, 267, 786, 2661, 3476, 543, 741, 4891, 543, 1453, 786, 581, 18668, 543, 2661, 3476, 563, 1103, 938, 2361, 267, 3007, 547, 8695, 543, 2367, 734, 663, 519, 6284, 602, 2367, 723, 741, 1378, 4638, 543, 10285, 1072, 2115, 734, 529, 1419, 16618, 269, 9093, 543, 8695, 616, 849, 6534, 547, 5739, 11994, 540, 1018, 621, 1797, 547, 581, 513, 812, 267, 11994, 602, 723, 2484, 23568, 4539, 593, 741, 1072, 543, 1134, 5630, 734, 663, 519, 1134, 5630, 540, 6690, 543, 2021, 563, 1103, 341, 6295, 2367, 543, 8695, 538, 4638, 543, 10285, 1072, 543, 2924, 568, 513, 1184, 602, 1590, 2253, 2038, 609, 2298, 3102, 14920, 2069, 3292, 269, 1133, 30584, 532, 31737, 7130, 568, 1018, 14920, 2069, 1281, 1655, 281, 891, 3292, 711, 1152, 1683, 8695, 543, 12322, 609, 23610, 1344, 827, 23648, 543, 741, 4703, 282, 789, 948, 19586, 1279, 13463, 671, 8155, 543, 2285, 8695, 513, 2230, 547, 16175, 1865, 519, 12503, 789, 616, 6849, 563, 7069, 26393, 5063, 1185, 519, 4316, 547, 1694, 538, 593, 513, 3102, 14920, 2069, 3992, 585, 8695, 269, 634, 14357, 4951, 513, 20419, 540, 513, 812, 9361, 538, 606, 2653, 11381, 11303, 676, 24986, 1453, 269, 3571, 7385, 729, 2324, 9663, 13124, 1472, 1864, 267, 513, 2156, 558, 538, 835, 1688, 267, 513, 5986, 1494, 538, 1776, 543, 513, 546, 807, 704, 546, 1905, 539, 936, 1200, 6186, 269, 834, 1432, 781, 4636, 609, 713, 4605, 8119, 646, 4280, 519, 1895, 269, 834, 763, 812, 1058, 581, 9878, 811, 3007, 547, 1010, 1453, 2437, 12943, 835, 7911, 269, 6271, 1767, 602, 646, 5433, 20994, 585, 519, 4807, 1317, 1352, 1185, 547, 798, 782, 519, 960, 269, 2290, 7911, 23900, 1767, 602, 519, 4605, 1500, 1864, 13943, 1317, 602, 781, 519, 1259, 1919, 941, 538, 1010, 2777, 563, 4322, 2010, 540, 3292, 19586, 5481, 540, 31737, 7130, 543, 948, 8695, 1711, 513, 1114, 2186, 540, 1272, 543, 2104, 585, 2933, 269, 9578, 267, 2090, 1397, 602, 14920, 2069, 3292, 602, 11168, 4008, 7862, 543, 1379, 6384, 616, 2947, 2053, 811, 2693, 547, 2569, 16770, 10299, 5563, 543, 13311, 26691, 982, 3292, 602, 798, 711, 563, 306, 611, 569, 267, 519, 3486, 2146, 814, 711, 3922, 1242, 7616, 585, 2533, 543, 2069, 585, 2367, 543, 8695, 5103, 519, 1249, 602, 538, 1082, 5468, 267, 621, 568, 2367, 602, 1118, 519, 3664, 1472, 3023, 267, 6379, 543, 10285, 1072, 538, 2489, 269, 769, 1082, 2477, 1141, 649, 960, 538, 5824, 3013, 267, 585, 1383, 267, 2021, 723, 547, 2307, 741, 9393, 781, 10479, 547, 1294, 519, 4387, 610, 616, 24193, 15587, 1317, 741, 4703, 834, 10964, 784, 257, 547, 741, 8152, 27512, 563, 2467, 616, 5499, 2081, 547, 10994, 713, 1966, 543, 2327, 602, 4638, 543, 10285, 1072, 2069, 5170, 2429, 606, 1367, 781, 10715, 269, 769, 4432, 30571, 267, 585, 1383, 267, 938, 2199, 16588, 5948, 18271, 5256, 1072, 3260, 619, 538, 476, 11025, 6917, 2950, 547, 13599, 2367, 827, 16770, 10299, 5563, 543, 3247, 519, 2197, 781, 1164, 2557, 540, 5208, 1996, 2021, 269, 1656, 538, 938, 19190, 538, 21896, 267, 8036, 24784, 948, 15185, 6330, 519, 7294, 3664, 1472, 4638, 543, 10285, 1072, 734, 18485, 609, 519, 3804, 540, 16779, 519, 4807, 547, 1118, 1200, 1378, 3664, 543, 8716, 2367, 547, 581, 11215, 543, 29355, 538, 519, 1072, 540, 1010, 7649, 563, 2005, 568, 1134, 1634, 602, 2367, 3343, 7864, 1072, 2533, 982, 2021, 910, 5310, 602, 568, 835, 2601, 789, 5884, 7820, 269, 10435, 2021, 543, 2367, 11215, 540, 1142, 824, 781, 1072, 3664, 1223, 1291, 547, 2367, 5275, 1732, 1072, 1416, 269, 898, 568, 538, 2367, 781, 4690, 547, 581, 606, 3160, 7649, 538, 1126, 556, 2130, 543, 29492, 827, 741, 543, 741, 7649, 543, 1453, 781, 1072, 267, 782, 519, 1247, 18245, 741, 7649, 781, 13190, 563, 3719, 649, 1869, 723, 513, 1279, 1259, 547, 979, 538, 4180, 602, 2367, 1404, 606, 3742, 1909, 711, 1152, 538, 741, 1378, 1072, 267, 855, 519, 1072, 540, 741, 3885, 269, 1306, 513, 812, 538, 519, 3350, 585, 4638, 543, 10285, 1072, 543, 2924, 267, 594, 917, 621, 786, 1491, 1142, 543, 1169, 835, 540, 721, 268, 2367, 543, 2021, 7567, 268, 547, 3035, 4008, 7862, 538, 938, 3076, 564, 1307, 563, 1692, 4914, 16377, 536, 753, 10413, 1453, 281, 634, 530, 3402, 532, 2013, 540, 513, 476, 1015, 4458, 6040, 8004, 538, 3474, 16331, 599, 31438, 1769, 593, 513, 7839, 1966, 454, 4415, 17341, 4303, 3297, 721, 543, 4832, 1934, 267, 1034, 3214, 538, 1715, 3840, 616, 18138, 1153, 610, 8600, 585, 3786, 610, 29681, 540, 20115, 543, 6905, 1404, 5503, 563, 3719, 713, 4832, 786, 581, 1360, 267, 1360, 1114, 585, 835, 476, 1015, 4458 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10151, 15335, 585, 519, 9754, 267, 607, 3646, 941, 2907, 25093, 1282, 519, 476, 3422, 271, 338, 547, 3715, 513, 811, 27763, 6131, 2230, 585, 519, 9872, 563, 5475, 519, 3932, 540, 513, 1374, 6735, 538, 476, 3422, 275, 6322, 693, 7446, 513, 1374, 585, 519, 1007, 7467, 540, 519, 7169, 267, 519, 11556, 2322, 4464, 676, 8037, 2098, 698, 516, 321, 4056, 3026, 1597, 15662, 510, 1122, 12858, 24089, 729, 6074, 607, 519, 16771, 269, 11531, 267, 519, 4087, 538, 681, 6359, 2131, 320, 6074, 585, 713, 1788, 729, 968, 300, 5237, 12384, 892, 630, 339, 3736, 3957, 968, 306, 13645, 26548, 15258, 320, 2098, 534, 16279, 25257, 693, 513, 3135, 13883, 693, 519, 22070, 7944, 540, 519, 4677, 1330, 1399, 731, 540, 519, 5449, 3243, 549, 6953, 2426, 4115, 17135, 779, 20066, 538, 681, 6359, 2131, 320, 630, 920, 730, 538, 476, 6245, 278, 676, 4056, 1325, 1690, 657, 670, 9476, 345, 10458, 543, 2221, 6818, 607, 519, 31845, 543, 3778, 7467, 540, 519, 23886, 1014, 11076, 1040, 4518, 593, 519, 7467, 540, 519, 7169, 13604, 3459, 538, 476, 3192, 273, 630, 572, 1597, 1296, 1310, 13170, 676, 519, 27391, 531, 13909, 538, 476, 3422, 276, 264, 543, 729, 8737, 10199, 2185, 1296, 2663, 538, 476, 3192, 277, 267, 950, 621, 729, 9968, 13124, 30792, 593, 5437, 476, 2918, 628, 269, 17796, 9305, 602, 713, 2679, 729, 519, 1101, 2022, 8862, 310, 2862, 1788, 538, 519, 2749, 2813, 14311, 585, 18523, 2686, 5301, 267, 607, 1134, 607, 1373, 519, 2063, 11265, 1788, 540, 3026, 1597, 15662, 510, 1122, 12858, 24089, 779, 4876, 267, 585, 799, 646, 4682, 593, 547, 3094, 519, 5313, 16907, 9346, 13815, 585, 17284, 538, 6189, 538, 476, 3192, 278, 267, 519, 5207, 3318, 6284, 1655, 15735, 538, 31735, 807, 563, 763, 3126, 540, 10565, 936, 3620, 4474, 552, 2314, 267, 24188, 540, 15558, 30528, 10833, 267, 568, 519, 1034, 7986, 4183, 540, 519, 7467, 540, 519, 7169, 2813, 676, 3026, 1597, 15662, 510, 1122, 12858, 24089, 267, 609, 713, 1795, 1228, 6752, 539, 538, 6366, 3043, 29147, 543, 513, 8049, 19157, 4216, 6885, 538, 519, 5580, 2451, 11804, 7944, 14178, 856, 689, 922, 4395, 3068, 3168, 936, 519, 4009, 269, 2368, 2959, 9305, 602, 538, 8888, 519, 9754, 267, 15662, 510, 1122, 12858, 24089, 729, 6273, 676, 519, 2025, 18724, 2284, 7467, 540, 1977, 3203, 2679, 538, 1715, 3840, 4975, 267, 2813, 676, 23826, 4056, 3057, 4897, 6601, 21838, 269, 1306, 835, 476, 1001, 279, 1957, 6257, 267, 519, 9754, 543, 519, 2230, 1472, 621, 568, 606, 968, 1478, 331, 777, 540, 1585, 11265, 6163, 267, 609, 2351, 6291, 267, 694, 20896, 1143, 267, 543, 2413, 782, 1373, 6444, 267, 519, 3666, 540, 799, 519, 2278, 13290, 547, 8190, 543, 7110, 609, 1010, 6027, 20185, 2507, 1496, 663, 316, 538, 519, 2278, 779, 1964, 11712, 1374, 267, 2312, 12166, 3029, 616, 28078, 267, 13306, 267, 3515, 543, 7252, 267, 1510, 23598, 610, 2178, 22192, 2609, 1848, 11531, 267, 519, 6986, 3043, 1795, 1228, 543, 12166, 1915, 5645, 936, 883, 15662, 510, 1122, 12858, 24089, 779, 9703, 267, 609, 519, 3003, 2527, 22815, 1027, 609, 606, 693, 8922, 543, 2545, 935, 625, 3168, 1524, 998, 922, 4295, 269, 0, 20428, 281, 631, 4193, 938, 22447, 15634, 25491, 454, 19613, 281, 8828, 4993, 454, 20606, 476, 277, 267, 476, 1001, 277, 476, 276, 281, 5379, 10681, 454, 17098, 267, 645, 1872, 2006, 256, 1284, 4076, 1044, 3395, 5144, 15634, 547, 4482, 16313, 17984, 269, 898, 4682, 1134, 585, 827, 513, 3923, 269, 21298, 267, 519, 5144, 15634, 814, 1044, 936, 14725, 676, 1007, 7786, 267, 543, 519, 16313, 338, 723, 11074, 4947, 676, 269, 634, 1007, 7786, 1413, 513, 2603, 899, 5144, 15634, 12961, 267, 855, 1169, 2582, 4199, 594, 666, 1265, 1202, 1235, 602, 5144, 15634, 12961, 267, 9921, 543, 1799, 1155, 267, 616, 3109, 269, 634, 12961, 593, 938, 5144, 15634, 616, 513, 1360, 1769, 6960, 269, 4256, 7953, 3592, 1413, 6037, 1075, 550, 269, 1684, 596, 1589, 621, 779, 2009, 602, 789, 2461, 3274, 513, 3099, 540, 5144, 15634, 17079, 286, 2107, 616, 5144, 15634, 12961, 11613, 2141, 3109, 1700, 6518, 1131, 1118, 891, 12961, 791, 739, 619, 888, 1607, 5654, 547, 721, 547, 581, 513, 23516, 7749, 704, 2667, 817, 514, 645, 1872, 267, 2098, 601, 639, 15646, 731, 4512, 267, 543, 2687, 547, 645, 1872, 10817, 728, 281, 968, 14197, 626, 23246, 630, 9188, 3145, 922, 1455, 2012, 11021, 3984, 23506, 1040, 892, 634, 1434, 3377, 568, 602, 621, 786, 2693, 10352, 593, 744, 548, 6387, 589, 874, 1749, 602, 1419, 8373, 5144, 15634, 538, 8828, 4993, 267, 855, 649, 1131, 711, 4341, 856, 602, 621, 1522, 849, 10352, 2390, 1762, 3933, 1105, 30746, 269, 1411, 5018, 19788, 3933, 1105, 17984, 799, 786, 1491, 22060, 689, 1082, 1114, 5810, 267, 2705, 267, 519, 1483, 4324, 547, 3395, 5144, 15634, 538, 519, 4677, 568, 602, 621, 568, 519, 1152, 2030, 2390, 799, 3933, 1105, 595, 831, 18339, 1513, 786, 3049, 563, 294, 582, 621, 256, 11289, 596, 865, 1454, 585, 707, 948, 256, 4595, 789, 2408, 547, 581, 2111, 547, 7639, 593, 824, 2371, 267, 649, 2461, 3206, 649, 949, 4584, 930, 540, 873, 1055, 543, 2285, 873, 547, 12543, 945, 723, 606, 936, 629, 1495, 766, 540, 30293, 540, 741, 3946, 269, 1411, 4076, 1044, 513, 1390, 948, 2336, 6826, 6297, 14986, 269, 1358, 786, 11116, 952, 1416, 8393, 17411, 269, 0, 2419, 514, 809, 670, 3591, 4829, 454, 263, 20124, 21806, 540, 4880, 4916, 7233, 4855, 518, 994, 3891, 697, 281, 476, 1428, 3952, 454, 306, 7331, 281, 476, 274, 3952, 454, 26773, 1465, 18630, 281, 476, 275, 454, 2304, 10694, 267, 3728, 3395, 21064, 11903, 267, 609, 13409, 11057, 13421, 540, 3579, 25984, 5613, 799, 616, 1031, 538, 1818, 14420, 282, 2189, 543, 1950, 8137, 543, 24710, 282, 3574, 1910, 267, 20521, 267, 25970, 543, 15137, 344, 4967, 282, 1360, 9157, 543, 22537, 267, 2115, 7293, 1489, 454, 2419, 514, 809, 670, 3591, 568, 5097, 6738, 585, 922, 3810, 25798, 4829, 269, 898, 7472, 10731, 13421, 540, 1769, 3039, 5577, 6438, 4829, 689, 4571, 4832, 547, 4571, 2887, 269, 898, 10694, 547, 618, 846, 24814, 3762, 2611, 4158, 3039, 538, 2681, 2429, 519, 4005, 563, 2419, 514, 809, 670, 3591, 568, 513, 10053, 10786, 17675, 21064, 11903, 609, 513, 1000, 1456, 543, 911, 4979, 4356, 540, 2208, 269, 4706, 5266, 21432, 9403, 666, 581, 1031, 547, 1796, 621, 6306, 689, 824, 4677, 2371, 609, 32067, 16714, 563, 1607, 568, 513, 1164, 5826, 2030, 602, 786, 2154, 2834, 1416, 543, 909, 18141, 267, 543, 666, 581, 929, 25293, 693, 20471, 269, 898, 568, 513, 1434, 3903, 585, 19788, 17984, 547, 707, 13452, 267, 855, 568, 711, 3226, 10694, 547, 13650, 945, 4043, 547, 4734, 621, 4805, 538, 3870, 540, 13820, 1512, 13000, 269, 12567, 619, 1058, 581, 3222, 540, 519, 1739, 8984, 4433, 264, 602, 949, 15549, 2027, 7156, 3248, 2419, 514, 809, 670, 3591, 568, 5227, 585, 519, 1739, 5251, 3156, 3248, 268, 4937, 12567, 2422, 454, 268, 7849, 1944, 1656, 8381, 1633, 25052, 454, 268, 29597, 518, 31896, 454, 5522, 13589, 1299, 19663, 454, 2419, 514, 809, 670, 3591, 786, 1332, 547, 581, 827, 476, 1428, 3952, 7381, 693, 15657, 267, 609, 513, 3262, 540, 476, 274, 3952, 269, 1306, 513, 16246, 11903, 267, 621, 1058, 2901, 581, 12630, 2282, 513, 20545, 267, 1726, 961, 529, 610, 824, 5251, 2497, 1141, 621, 666, 581, 8036, 547, 1332, 20733, 593, 621, 267, 610, 4847, 547, 13009, 1055, 513, 20808, 3774, 610, 9386, 269, 898, 9428, 693, 513, 3728, 2557, 267, 543, 896, 4998, 2175, 666, 581, 4397, 547, 2661, 585, 5111, 476, 736, 1296, 269, 1306, 606, 10786, 17675, 21064, 267, 713, 2030, 786, 2356, 5884, 1394, 547, 519, 13862, 1142, 5162, 267, 543, 786, 1036, 992, 689, 519, 3490, 1142, 5614, 269, 2142, 6297, 711, 547, 11145, 519, 13862, 538, 3735, 5162, 950, 621, 949, 711, 581, 11593, 2938, 2336, 1607, 2030, 1058, 1152, 581, 6738, 538, 2407, 7943, 269, 898, 1281, 1655, 538, 3328, 547, 14961, 5848, 2175, 267, 855, 786, 711, 20496, 7555, 1216, 269, 898, 568, 711, 1880, 607, 547, 3037, 1826, 610, 9063, 267, 543, 568, 2111, 547, 6023, 2825, 6070, 269, 898, 568, 3810, 27031, 540, 4683, 5533, 543, 786, 1256, 8853, 538, 6418, 2749, 5054, 269, 901, 568, 513, 5697, 3099, 540, 513, 2249, 711, 8385, 689, 3345, 3013, 269, 898, 666, 581, 9070, 730, 676, 27191, 282, 2705, 267, 607, 513, 16916, 3099, 267, 581, 3222, 602, 621, 949, 581, 1641, 547, 1978, 9993, 610, 10238, 1431, 593, 18640, 563, 2419, 514, 809, 670, 3591, 568, 513, 5386, 3903, 585, 519, 4677, 267, 855, 621, 568, 849, 513, 1434, 5542, 585, 9544, 538, 9205, 17428, 543, 11149, 269, 5221, 540, 922, 10825, 4356, 540, 2208, 267, 621, 568, 23679, 14018, 585, 946, 607, 513, 1412, 4944, 14525, 262, 538, 519, 1412, 4944, 14525, 6253, 337, 14525, 1922, 14525, 262, 8708, 4999, 282, 2030, 621, 2282, 519, 8728, 1141, 621, 666, 21383, 30780, 936, 519, 1494, 269, 898, 568, 1256, 2450, 762, 2614, 602, 621, 666, 581, 6738, 4805, 538, 513, 5078, 8708, 269, 8074, 602, 950, 3395, 2371, 538, 9205, 11149, 543, 30504, 267, 789, 949, 2154, 811, 7928, 1216, 902, 982, 789, 1131, 538, 519, 13452, 610, 4677, 269, 2142, 3222, 602, 538, 938, 2916, 267, 1034, 2371, 3112, 581, 4397, 547, 7639, 519, 5162, 952, 2451, 538, 11149, 13964, 267, 543, 713, 2030, 568, 1100, 9868, 269, 13555, 938, 4966, 585, 811, 1344, 593, 875, 547, 2149, 621, 936, 519, 5162, 3275, 563, 11514, 25068, 910, 901, 7233, 4855, 518, 1907, 568, 606, 2228, 4199, 8204, 1082, 540, 519, 8677, 602, 649, 4163, 936, 519, 1576, 540, 519, 4005, 267, 543, 568, 5497, 585, 21141, 5301, 1152, 269, 22802, 9775, 4005, 958, 267, 865, 649, 3112, 10018, 602, 1169, 2030, 786, 581, 538, 6006, 693, 782, 2053, 910, 5225, 3346, 519, 4558, 2047, 585, 1699, 8244, 269, 898, 1281, 711, 1331, 938, 3003, 5542, 540, 2371, 267, 865, 581, 2386, 547, 3643, 938, 4558, 547, 1294, 8677, 602, 949, 711, 581, 6719, 593, 713, 1592, 269, 0, 2252, 596, 2461, 6236, 8888, 543, 14335, 513, 2973, 3336, 267, 855, 5749, 1406, 4010, 2386, 1018, 18869, 28944, 616, 267, 596, 4076, 2097, 547, 519, 1318, 1747, 269, 2913, 779, 2011, 856, 930, 540, 519, 10539, 269, 3689, 540, 782, 267, 2973, 7741, 616, 9286, 676, 875, 6986, 519, 2011, 568, 269, 13018, 267, 28944, 616, 2966, 547, 30387, 513, 2973, 3336, 676, 519, 1297, 540, 5536, 1336, 538, 519, 2978, 779, 2011, 269, 634, 2973, 3336, 8760, 3044, 18869, 476, 16409, 4510, 268, 476, 272, 3096, 1880, 9325, 1293, 7403, 547, 30387, 519, 27194, 610, 2011, 19454, 1377, 540, 513, 2973, 7997, 610, 2973, 3336, 269, 0, 29727, 850, 334, 2433, 513, 26424, 540, 12445, 15408, 269, 1879, 31595, 267, 2342, 781, 1378, 2518, 9682, 12445, 1062, 267, 568, 4628, 10512, 267, 972, 786, 581, 476, 2190, 15408, 7132, 838, 4100, 538, 23839, 3047, 2107, 4226, 630, 10933, 302, 264, 693, 606, 15820, 540, 476, 2537, 476, 19442, 21240, 4790, 749, 566, 21073, 269, 476, 273, 281, 25789, 9517, 281, 6611, 27990, 630, 306, 309, 264, 5772, 8595, 568, 519, 31595, 9682, 8151, 3009, 32165, 269, 1412, 292, 262, 568, 519, 31595, 1062, 26424, 13525, 269, 476, 274, 281, 1849, 1442, 281, 11682, 300, 815, 10426, 633, 25756, 631, 6471, 267, 17241, 12396, 815, 11676, 29899, 26994, 22039, 9208, 454, 15121, 289, 568, 2679, 519, 3803, 476, 1321, 31595, 1101, 22831, 15408, 896, 1018, 30673, 7125, 645, 2255, 476, 274, 267, 602, 786, 2844, 519, 26424, 2394, 519, 2034, 22831, 15408, 616, 538, 10739, 269, 634, 1101, 907, 31595, 26424, 856, 720, 1411, 949, 723, 2907, 4862, 602, 519, 31595, 9167, 9682, 12445, 26424, 568, 856, 540, 3028, 2094, 2063, 13628, 5147, 476, 1556, 628, 269, 17497, 519, 31595, 26424, 4567, 2985, 2982, 602, 519, 4567, 540, 1034, 31595, 15408, 568, 711, 26729, 1317, 540, 513, 3028, 856, 720, 31595, 593, 12103, 841, 2006, 5055, 1690, 340, 514, 523, 267, 16402, 641, 534, 9769, 514, 986, 330, 550, 4821, 795, 320, 513, 29184, 521, 643, 328, 8270, 327, 718, 4883, 817, 320, 522, 4582, 320, 7560, 328, 8636, 514, 3572, 2002, 6359, 7564, 337, 329, 652, 601 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5522, 6558, 10934, 2342, 454, 763, 4563, 12280, 281, 10934, 11711, 281, 289, 889, 4577, 20575, 4786, 10422, 7582, 22816, 12855, 12780, 563, 763, 27336, 2526, 543, 24619, 540, 519, 4563, 1773, 6558, 538, 2342, 1923, 2637, 7002, 9609, 11711, 281, 289, 889, 4577, 20575, 4786, 476, 273, 26666, 22816, 12855, 12780, 563, 763, 4563, 12280, 779, 19039, 9552, 540, 476, 1691, 628, 2540, 2342, 267, 538, 835, 634, 27336, 2526, 543, 24619, 540, 519, 4563, 1773, 6558, 538, 2342, 563, 306, 7331, 540, 519, 1773, 6558, 2429, 2342, 269, 2368, 6011, 12996, 14284, 621, 11780, 11507, 543, 20575, 6771, 538, 840, 4853, 2342, 1547, 0, 7712, 4160, 568, 513, 4999, 540, 2168, 17915, 267, 5615, 267, 4664, 267, 543, 4555, 267, 621, 568, 1271, 547, 3077, 1142, 540, 891, 3334, 269, 5369, 334, 268, 25531, 11414, 3797, 5171, 827, 519, 2168, 17915, 540, 4160, 269, 901, 2337, 519, 16045, 1451, 547, 5431, 543, 4383, 1346, 2589, 269, 28626, 4887, 11005, 543, 4337, 1400, 2553, 616, 1360, 5363, 547, 4383, 543, 2569, 891, 2168, 17915, 269, 28626, 4887, 11005, 11414, 1004, 875, 547, 5431, 519, 3017, 1063, 2168, 8082, 267, 543, 11005, 269, 9182, 267, 789, 1451, 875, 547, 29596, 6001, 741, 6091, 269, 28626, 4887, 11005, 5161, 540, 519, 13309, 18928, 13057, 513, 1268, 547, 13029, 267, 543, 1287, 6001, 2101, 2173, 639, 2193, 2516, 269, 8617, 2259, 568, 519, 1655, 1259, 547, 4487, 519, 4480, 269, 26935, 1235, 1419, 1683, 3797, 5171, 609, 513, 11746, 10916, 540, 519, 3635, 585, 6780, 2259, 269, 22569, 1400, 2553, 2874, 540, 13057, 1004, 547, 4952, 2933, 538, 513, 2922, 543, 21363, 3510, 267, 610, 547, 11291, 513, 16990, 3965, 267, 971, 607, 14084, 593, 513, 11824, 6947, 547, 519, 5836, 563, 3528, 2085, 1614, 267, 789, 2965, 3277, 547, 2933, 607, 513, 7911, 610, 513, 8004, 269, 19877, 338, 609, 1614, 4458, 29419, 7866, 602, 789, 3858, 609, 6898, 971, 607, 6690, 899, 547, 1404, 609, 31119, 267, 2307, 585, 948, 543, 2911, 811, 982, 8695, 267, 1247, 8695, 899, 547, 1404, 609, 6517, 267, 1628, 1919, 267, 543, 5734, 824, 1453, 269, 4634, 519, 13680, 20626, 666, 1294, 602, 1453, 1747, 513, 1164, 10862, 593, 4008, 29003, 2623, 693, 606, 2038, 2085, 563, 7197, 2043, 609, 4008, 4082, 22975, 4160, 1867, 4742, 3222, 602, 1945, 729, 711, 1318, 609, 741, 3312, 4008, 7084, 607, 2038, 607, 2085, 2185, 563, 5804, 942, 547, 942, 3025, 19048, 827, 1919, 899, 2724, 267, 3347, 267, 1072, 543, 960, 269, 1809, 585, 2576, 609, 513, 20902, 4160, 4524, 267, 20468, 3587, 30442, 267, 12145, 3207, 267, 5834, 543, 7133, 2298, 540, 1272, 563, 18704, 4317, 17520, 13081, 1107, 4317, 17520, 13081, 2589, 267, 2126, 267, 2014, 267, 1449, 267, 6646, 540, 4317, 17520, 13081, 4317, 17520, 13081, 610, 4317, 1912, 14113, 267, 568, 606, 4160, 4524, 6353, 676, 11566, 4160, 543, 7050, 1582, 23655, 1145, 538, 4948, 1514, 3871, 269, 4317, 943, 14113, 666, 581, 3908, 547, 1152, 835, 1826, 540, 3510, 1107, 971, 607, 513, 4250, 540, 6340, 538, 6101, 610, 13016, 3871, 267, 610, 4189, 610, 6704, 538, 4395, 540, 1866, 1107, 610, 267, 538, 922, 1034, 4049, 1106, 267, 949, 581, 865, 3376, 602, 513, 1268, 2833, 2589, 3592, 20471, 789, 616, 1472, 824, 1004, 563, 1432, 616, 519, 12580, 540, 4317, 17520, 13081, 286, 3509, 1004, 609, 1514, 4160, 4524, 1745, 602, 972, 568, 968, 31138, 4636, 2223, 855, 1810, 1406, 5431, 741, 4743, 607, 513, 1129, 540, 4576, 269, 12580, 540, 1514, 4160, 4524, 1331, 281, 2271, 1619, 4160, 538, 1514, 3871, 3680, 766, 540, 1514, 3871, 8447, 2589, 540, 4160, 267, 1519, 10539, 267, 11013, 532, 2295, 267, 24852, 267, 24373, 267, 1025, 5241, 267, 4887, 8082, 267, 13347, 7181, 543, 13165, 5753, 609, 713, 4524, 949, 2769, 741, 4160, 676, 24986, 267, 804, 15781, 547, 513, 2385, 610, 18530, 513, 21915, 5300, 563, 1432, 616, 519, 3123, 540, 4317, 17520, 13081, 286, 1703, 568, 1100, 2582, 1634, 2014, 540, 1514, 4160, 4524, 267, 855, 1382, 5267, 602, 6211, 267, 5626, 543, 2825, 2188, 949, 1404, 513, 1909, 538, 922, 1646, 269, 2290, 3069, 568, 602, 1514, 4160, 4524, 949, 581, 1644, 547, 606, 19261, 540, 513, 3114, 1572, 22515, 602, 3560, 338, 6786, 1063, 8229, 2281, 538, 519, 2634, 563, 19950, 5944, 267, 713, 568, 519, 1482, 3114, 19261, 5532, 547, 824, 7099, 543, 4160, 4713, 269, 6271, 3069, 568, 602, 1514, 4160, 4524, 949, 2196, 538, 3885, 268, 18034, 1851, 2673, 14077, 899, 3237, 543, 741, 1453, 269, 2107, 621, 949, 6565, 689, 606, 19849, 23035, 1514, 2680, 538, 519, 2250, 269, 1548, 616, 519, 1114, 2010, 540, 4317, 17520, 13081, 888, 8110, 18504, 610, 1875, 24932, 1968, 1242, 1514, 4160, 4524, 5540, 2043, 1152, 950, 789, 616, 7900, 538, 4395, 540, 1866, 563, 31572, 17520, 779, 8177, 593, 17716, 454, 307, 516, 3387, 1782, 3946, 610, 7953, 1133, 19055, 762, 20882, 547, 3956, 12580, 540, 15730, 4160, 666, 2097, 593, 1510, 5469, 610, 7930, 22009, 267, 543, 666, 581, 7646, 610, 4049, 267, 9434, 689, 513, 1906, 8090, 547, 10770, 267, 11566, 4606, 540, 8401, 1145, 610, 4250, 269, 1358, 949, 581, 26997, 547, 2911, 547, 2576, 827, 741, 4160, 585, 4250, 540, 1373, 19849, 21724, 267, 24565, 610, 2808, 4617, 269, 3962, 1826, 540, 15730, 4160, 4524, 814, 1808, 2589, 912, 15862, 3842, 9504, 15526, 19048, 269, 634, 1434, 3377, 568, 602, 267, 972, 568, 948, 585, 1004, 609, 717, 4696, 269, 1717, 267, 621, 1058, 1376, 609, 18997, 3054, 543, 14344, 602, 596, 1522, 267, 1310, 782, 267, 7985, 689, 519, 4524, 267, 5103, 2348, 25323, 519, 2219, 538, 519, 2250, 269, 3689, 267, 596, 1131, 991, 547, 1205, 519, 1318, 5868, 267, 865, 602, 596, 666, 4309, 7850, 2126, 269, 2991, 782, 267, 4937, 1242, 17520, 13081, 666, 581, 3361, 676, 513, 1297, 540, 4128, 267, 8151, 689, 17441, 19261, 547, 9422, 10638, 543, 1065, 5962, 4664, 563, 19865, 2290, 1259, 547, 1205, 14867, 2566, 267, 799, 568, 1634, 547, 9594, 536, 8083, 540, 7050, 4160, 2073, 568, 676, 2834, 3635, 269, 898, 666, 1832, 707, 1560, 538, 512, 18967, 641, 3337, 543, 3132, 1434, 10399, 269, 3767, 267, 711, 16764, 666, 979, 1472, 3257, 28491, 5751, 269, 769, 713, 2013, 267, 18639, 568, 513, 811, 21363, 4244, 563, 1432, 3657, 17520, 15136, 888, 5141, 846, 4635, 4039, 1314, 566, 9828, 6271, 3364, 602, 513, 1434, 2126, 1544, 585, 4160, 11414, 2550, 568, 875, 547, 16578, 11005, 269, 11109, 1896, 4052, 2994, 666, 948, 513, 1268, 1491, 7525, 3268, 538, 513, 17173, 3510, 547, 2569, 4160, 543, 6001, 519, 1560, 269, 1452, 616, 2553, 602, 9192, 519, 1560, 543, 519, 2247, 547, 3142, 2656, 8323, 693, 2053, 950, 4160, 568, 2679, 543, 27938, 547, 1491, 936, 281, 901, 11005, 4480, 3096, 2620, 543, 3500, 24967, 547, 16578, 11005, 563, 2691, 4160, 14380, 267, 865, 1281, 7244, 2557, 267, 865, 17543, 23646, 621, 1524, 28901, 11005, 563, 288, 6112, 1394, 267, 594, 729, 8995, 609, 4937, 1242, 17520, 13081, 630, 294, 4696, 1040, 898, 779, 513, 2182, 3364, 547, 21264, 2094, 4160, 4249, 513, 2101, 1909, 538, 513, 2603, 540, 22074, 1700, 1519, 4965, 267, 24753, 267, 543, 17971, 563, 12218, 2305, 2986, 12870, 12580, 12870, 814, 1614, 1292, 6688, 267, 543, 538, 1169, 2186, 540, 4965, 267, 2589, 267, 2157, 267, 543, 519, 2470, 540, 2589, 949, 4268, 269, 11683, 12870, 11683, 4965, 2306, 2247, 543, 1560, 3592, 1612, 3315, 7458, 269, 4658, 609, 4965, 6336, 519, 2702, 547, 960, 543, 1451, 269, 634, 2550, 3112, 3548, 267, 3207, 267, 543, 1491, 782, 519, 1187, 2238, 602, 3142, 7772, 547, 873, 269, 634, 3461, 666, 1152, 723, 2101, 4965, 2899, 538, 741, 2729, 267, 855, 849, 2101, 4965, 949, 9888, 1896, 2053, 563, 300, 843, 12870, 667, 22438, 1506, 8926, 18127, 2589, 267, 4352, 711, 4929, 519, 2550, 1612, 3315, 7458, 15508, 543, 9308, 267, 2550, 798, 711, 723, 1187, 543, 1397, 1454, 540, 4376, 269, 634, 2219, 267, 2324, 2409, 267, 8966, 5615, 616, 3544, 519, 1852, 540, 519, 3461, 543, 1419, 2014, 7965, 538, 7694, 543, 17847, 1247, 14379, 538, 2486, 269, 7736, 2659, 12870, 1433, 2443, 513, 3391, 1504, 602, 6227, 519, 11580, 540, 14874, 2942, 4606, 563, 16605, 2542, 713, 2376, 547, 1205, 811, 3877, 827, 4191, 543, 2589, 540, 4965, 543, 4160, 4713, 269, 20050, 1656, 12580, 2986, 12870, 769, 9093, 4014, 519, 1297, 540, 2367, 609, 4965, 568, 2539, 950, 3379, 547, 2021, 267, 972, 616, 827, 476, 277, 2929, 2367, 7092, 4965, 538, 519, 2136, 2276, 269, 15380, 267, 2367, 10355, 5431, 741, 4965, 282, 538, 1840, 267, 7189, 1419, 798, 711, 5469, 543, 3343, 4965, 538, 5256, 2550, 563, 12831, 1833, 538, 2367, 1419, 568, 10703, 4705, 676, 4568, 267, 17089, 610, 5061, 267, 610, 676, 2324, 7050, 1279, 3108, 602, 616, 3362, 7608, 676, 2486, 563, 1692, 547, 11261, 2576, 609, 17520, 12983, 888, 16829, 593, 5147, 476, 1724, 267, 676, 8845, 12138, 17520, 4713, 616, 519, 1034, 1455, 1362, 540, 17867, 4713, 269, 1924, 1018, 267, 3025, 4991, 602, 3006, 269, 589, 2603, 540, 1004, 609, 9930, 3373, 1454, 8338, 2175, 2443, 4965, 267, 17299, 267, 1256, 2618, 2670, 2443, 786, 31274, 602, 789, 1616, 741, 4160, 5701, 1354, 4376, 3116, 267, 1317, 789, 666, 2661, 609, 519, 1964, 563, 4002, 519, 824, 1688, 267, 1247, 513, 2603, 540, 1004, 609, 2618, 2670, 723, 2614, 824, 2042, 602, 8156, 519, 2618, 2670, 18923, 12662, 513, 7202, 538, 741, 2152, 267, 513, 2603, 540, 1004, 609, 4160, 1131, 581, 6126, 543, 11327, 952, 789, 1223, 1175, 798, 1945, 827, 621, 269, 901, 786, 581, 17071, 547, 2542, 4013, 10372, 267, 855, 596, 786, 4440, 711, 1224, 4013, 10372, 267, 543, 596, 949, 1224, 713, 563, 3674, 707, 4160, 513, 4017, 668, 9234, 22468, 270, 577, 3055, 9854, 6794, 10835, 610, 11784, 4524, 286, 5192, 519, 2200, 547, 4137, 621, 856, 543, 1376, 3478, 1732, 269, 1772, 707, 4160, 513, 4017, 668, 9234, 22468, 270, 577, 3055, 9854, 6794, 10835, 610, 11784, 4524, 286, 5192, 519, 2200, 547, 4137, 621, 856, 543, 1376, 3478, 1732, 269, 634, 6184, 543, 4934, 338, 540, 25441, 25126, 2060, 563, 15919, 267, 1175, 519, 2219, 540, 3478, 998, 519, 1554, 7472, 4160, 269, 4658, 609, 717, 4696, 1256, 723, 3781, 2742, 637, 543, 17570, 1247, 12008, 799, 2306, 873, 1745, 25356, 950, 21765, 2501, 282, 610, 789, 949, 711, 581, 2111, 547, 3207, 1454, 693, 782, 269, 769, 1249, 267, 1100, 4049, 717, 4696, 1268, 1131, 1256, 979, 593, 513, 4266, 8259, 789, 941, 7680, 513, 9350, 942, 282, 610, 15654, 7389, 585, 602, 2339, 269, 2836, 332, 569, 1491, 873, 1753, 610, 547, 513, 1747, 1141, 789, 1745, 6899, 563, 2252, 596, 616, 8149, 547, 519, 2078, 267, 917, 1018, 1199, 338, 789, 1491, 543, 538, 1018, 9570, 269, 1403, 789, 723, 513, 13310, 585, 606, 4550, 12845, 3806, 6646, 267, 2709, 873, 835, 1282, 513, 3983, 942, 543, 917, 875, 1454, 789, 723, 3144, 269, 5901, 12085, 4762, 7808, 2443, 3509, 717, 4696, 24412, 616, 5386, 6158, 827, 741, 4524, 1141, 1866, 616, 711, 267, 543, 519, 4250, 540, 824, 1004, 6616, 666, 3142, 593, 606, 4323, 563, 7476, 12833, 9407, 538, 10657, 2443, 6787, 596, 979, 609, 707, 7649, 547, 3797, 610, 798, 621, 593, 707, 1378, 267, 2901, 4199, 786, 948, 596, 1732, 1174, 717, 4696, 543, 875, 547, 6023, 9157, 3871, 269, 27016, 2394, 789, 616, 9350, 543, 2307, 952, 789, 917, 1018, 19430, 519, 4323, 563, 14503, 760, 4580, 3502, 12232, 454, 1607, 2376, 814, 1044, 11855, 676, 824, 4930, 538, 6751, 290, 269, 17593, 21111, 1582, 3146, 19959, 2589, 616, 540, 2629, 2956, 547, 2697, 4160, 4713, 267, 607, 1134, 607, 547, 6895, 741, 2126, 538, 4791, 2259, 543, 1382, 269, 1703, 568, 513, 30162, 540, 7405, 2139, 267, 799, 666, 1683, 2618, 2210, 29182, 3280, 10526, 540, 4160, 267, 855, 972, 616, 1896, 7687, 540, 1699, 2645, 602, 991, 547, 581, 5402, 2808, 585, 741, 3811, 946, 269, 11048, 267, 519, 12170, 4879, 540, 2790, 1072, 4567, 568, 711, 607, 7608, 538, 4915, 607, 568, 519, 4879, 540, 31036, 563, 3080, 2601, 585, 713, 949, 581, 602, 1114, 7405, 12570, 519, 1482, 5626, 4020, 946, 1114, 10253, 269, 769, 713, 1957, 649, 1459, 930, 1007, 7835, 602 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 25168, 1886, 22005, 6676, 267, 13021, 543, 17861, 622, 476, 272, 5662, 547, 16074, 269, 476, 273, 269, 18734, 476, 2004, 18725, 299, 540, 519, 3070, 547, 840, 1532, 6674, 539, 6790, 696, 14865, 514, 7108, 6676, 269, 1530, 531, 543, 21199, 585, 476, 272, 5662, 269, 476, 274, 269, 25169, 22368, 6676, 282, 1039, 476, 5611, 18725, 299, 476, 273, 311, 3367, 20873, 518, 570, 282, 1224, 6676, 269, 19369, 540, 590, 8085, 23859, 6874, 8980, 543, 645, 3999, 514, 22443, 539, 10684, 263, 30066, 264, 11550, 291, 308, 6311, 30316, 2839, 2464, 910, 6239, 13082, 263, 4614, 601, 264, 11872, 476, 272, 269, 570, 16260, 896, 9138, 11098, 267, 476, 271, 269, 4905, 538, 269, 476, 273, 269, 774, 32169, 547, 581, 6027, 693, 476, 274, 270, 279, 547, 476, 274, 270, 275, 538, 269, 689, 519, 19976, 6316, 269, 476, 274, 269, 1280, 11098, 6027, 693, 1022, 4087, 824, 982, 602, 9138, 538, 8074, 476, 273, 267, 519, 7989, 24777, 5021, 936, 10892, 4927, 581, 2799, 676, 476, 4037, 9077, 17031, 547, 519, 14282, 476, 271, 269, 4905, 538, 269, 5254, 6020, 303, 631, 21135, 12813, 12442, 8946, 27912, 26614, 570, 5357, 2207, 3198, 290, 2464, 454, 1993, 3476, 13080, 538, 519, 7077, 540, 519, 6676, 6027, 1247, 519, 6676, 26520, 593, 513, 6366, 2627, 609, 519, 6677, 822, 640, 540, 519, 22441, 16057, 269, 10691, 292, 476, 273, 1403, 519, 3476, 10155, 568, 896, 476, 3607, 538, 269, 1496, 280, 1691, 6515, 3910, 519, 10892, 568, 711, 3152, 982, 476, 26528, 538, 269, 1496, 277, 269, 275, 6515, 4940, 10691, 292, 476, 274, 1280, 10824, 609, 9138, 5934, 6556, 9342, 540, 476, 3374, 737, 19561, 1496, 13301, 12463, 320, 316, 610, 811, 267, 263, 30066, 264, 17934, 7085, 17029, 1194, 30680, 589, 3607, 1315, 6789, 10933, 4149, 288, 3607, 28822, 4141, 1188, 1676, 5450, 1023, 630, 4614, 601, 264, 17934, 7085, 17029, 1194, 30680, 589, 3607, 1315, 6789, 10933, 4149, 288, 3607, 4762, 2682, 7516, 2228, 543, 1931, 2047, 269, 15439, 4444, 23305, 13082, 17934, 538, 519, 28822, 4141, 1188, 1676, 5450, 1023, 2475, 2228, 6300, 563, 11854, 322, 5874, 26397, 26794, 303, 17123, 7078, 21798, 2171, 1131, 4782, 952, 782, 6676, 543, 6656, 941, 6366, 269, 10251, 267, 519, 4641, 568, 3833, 1114, 543, 519, 3044, 5010, 16551, 547, 799, 891, 2472, 616, 3812, 5431, 713, 4641, 269, 634, 4170, 593, 519, 6366, 1145, 540, 519, 6676, 543, 6656, 2472, 4421, 676, 17029, 1194, 2353, 9081, 4268, 14320, 676, 519, 1826, 540, 1587, 267, 676, 18585, 267, 676, 11098, 543, 676, 519, 2450, 540, 519, 4062, 269, 589, 5960, 543, 30680, 4441, 2291, 799, 3382, 519, 6366, 1145, 4170, 585, 1034, 6676, 543, 6656, 3688, 607, 3812, 676, 519, 1984, 269, 16930, 320, 8450, 811, 593, 18202, 718, 9081, 5522, 622, 10410, 2305, 6651, 476, 1001, 276, 268, 1001, 277, 263, 4614, 601, 264, 476, 1001, 276, 268, 1001, 277, 17934, 13082, 10410, 2305, 6651, 8525, 476, 275, 30680, 10410, 5874, 4797, 9501, 4488, 9281, 2975, 9569, 589, 14225, 6103, 589, 589, 14225, 6103, 645, 589, 14225, 6103, 595, 589, 26237, 338, 7392, 476, 272, 1262, 7392, 540, 13082, 2353, 1195, 2353, 1195, 2353, 1195, 12539, 21976, 585, 24822, 589, 736, 589, 736, 589, 736, 589, 277, 570, 839, 850, 23848, 630, 802, 328, 264, 476, 4792, 270, 5952, 476, 3583, 270, 3445, 476, 4037, 270, 4817, 476, 3583, 3687, 269, 547, 476, 382, 378, 257, 13141, 5919, 476, 6858, 3687, 269, 936, 476, 382, 378, 268, 272, 16006, 257, 13141, 5919, 263, 30066, 264, 2776, 31084, 13756, 585, 13082, 15167, 5071, 267, 28577, 566, 8115, 1094, 3607, 6676, 10892, 263, 4614, 601, 264, 667, 8692, 10824, 936, 6405, 18009, 1905, 693, 8115, 2377, 1678, 906, 2014, 12962, 1547, 2776, 31084, 13756, 585, 13082, 15167, 3848, 476, 273, 17637, 5071, 267, 28577, 566, 267, 543, 661, 14431, 1547, 476, 273, 268, 274, 4873, 476, 1001, 280, 1547, 9634, 593, 519, 18009, 1905, 267, 855, 519, 4244, 568, 7839, 28969, 540, 1312, 519, 705, 583, 618, 543, 18009, 1905, 15301, 30066, 264, 17352, 476, 10463, 10000, 30098, 547, 519, 589, 3008, 12487, 302, 5071, 10410, 2305, 263, 4614, 601, 264, 4985, 540, 519, 1133, 1881, 13229, 654, 5954, 13979, 634, 22194, 735, 4809, 4187, 267, 623, 333, 267, 568, 5833, 676, 14921, 674, 13062, 1759, 593, 519, 14407, 3444, 22891, 1858, 676, 606, 2500, 1858, 267, 589, 27889, 269, 589, 27889, 529, 3622, 17223, 607, 519, 14805, 566, 540, 2500, 2127, 540, 519, 3444, 16687, 1759, 593, 4389, 2500, 11097, 2195, 267, 581, 267, 585, 1142, 28795, 3693, 538, 519, 3444, 16687, 630, 20684, 476, 14695, 269, 9834, 269, 3607, 269, 1960, 269, 273, 320, 1916, 2690, 3818, 268, 8527, 1049, 26971, 609, 513, 4390, 3152, 982, 476, 18597, 271, 737, 301, 267, 476, 276, 2173, 332, 695, 574, 10824, 616, 1031, 538, 9114, 340, 540, 519, 3339, 476, 274, 6515, 10824, 269, 476, 1321, 269, 273, 4937, 5071, 19047, 476, 1321, 269, 273, 269, 272, 5071, 6396, 634, 14074, 540, 519, 12924, 16256, 5588, 700, 27184, 291, 15167, 5071, 10410, 2305, 4927, 581, 1031, 585, 519, 1374, 540, 8115, 26971, 15301, 30066, 264, 570, 11217, 1734, 538, 6405, 4070, 263, 4614, 601, 264, 634, 7109, 1734, 24276, 609, 3348, 770, 6405, 543, 5641, 2987, 268, 2897, 6405, 616, 2693, 547, 581, 3833, 988, 562, 512, 1547, 6684, 519, 7109, 1734, 24276, 609, 6378, 1106, 521, 2073, 23510, 3029, 543, 824, 2010, 540, 8108, 1949, 666, 546, 1775, 535, 535, 552, 678, 269, 1403, 519, 1179, 8595, 11737, 571, 678, 476, 1176, 20964, 513, 7109, 8584, 562, 524, 552, 2073, 646, 949, 581, 26968, 5944, 840, 521, 524, 678, 16481, 532, 519, 598, 24179, 30066, 264, 12598, 291, 5588, 15167, 15015, 3848, 476, 2190, 13082, 12852, 1457, 630, 4614, 601, 264, 12598, 291, 5588, 15167, 15015, 3848, 476, 2190, 13082, 12852, 1457, 23113, 5130, 476, 1708, 272, 476, 2190, 268, 272, 7305, 540, 12937, 476, 2190, 269, 272, 4985, 8115, 1094, 3607, 6676, 10892, 589, 6676, 4556, 1457, 2497, 568, 5697, 936, 513, 18202, 4556, 1457, 2497, 585, 3476, 21269, 610, 950, 3152, 17545, 568, 2838, 269, 13575, 18202, 575, 2273, 619, 616, 1031, 585, 1357, 17909, 1447, 982, 476, 3607, 4840, 22474, 476, 271, 269, 4905, 32494, 610, 952, 519, 10047, 16611, 676, 519, 1283, 6676, 3259, 568, 476, 272, 270, 279, 610, 811, 267, 519, 476, 272, 476, 272, 270, 273, 257, 1283, 5374, 6676, 1590, 581, 7148, 1229, 547, 1683, 513, 1377, 4452, 2627, 2059, 519, 5377, 540, 713, 6676, 896, 891, 2175, 269, 634, 7148, 1229, 6676, 786, 723, 513, 5934, 11098, 540, 476, 272, 476, 272, 270, 273, 257, 829, 1547, 589, 3008, 12487, 302, 700, 27184, 291, 15167, 14716, 10410, 5874, 267, 8791, 476, 1240, 15301, 30066, 264, 513, 3607, 5374, 6656, 8115, 1163, 7163, 263, 4614, 601, 264, 1094, 3607, 5374, 6656, 585, 8115, 609, 3312, 12051, 3902, 476, 272, 13062, 1240, 14269, 280, 16210, 6697, 910, 14408, 3607, 5374, 18261, 14371, 289, 3044, 1570, 476, 272, 24979, 1240, 301, 328, 280, 307, 328, 12851, 547, 519, 2073, 5228, 519, 5374, 547, 519, 8737, 1587, 267, 933, 723, 519, 3501, 2029, 543, 1082, 1296, 540, 13250, 540, 1995, 267, 933, 666, 1631, 3132, 2472, 1331, 5374, 16509, 267, 9917, 564, 267, 30066, 267, 1037, 3046, 29679, 13645, 5374, 8115, 1094, 3607, 6676, 10892, 263, 30066, 264, 8115, 1094, 3607, 6676, 10892, 263, 4614, 601, 264, 1094, 3607, 5374, 16551, 21542, 3607, 5288, 513, 3607, 553, 1889, 1094, 3607, 5374, 454, 8822, 1094, 3607, 6676, 10892, 269, 30680, 589, 3607, 1299, 14408, 3607, 13082, 17934, 4675, 17067, 910, 17029, 1194, 589, 3607, 1299, 14408, 3607, 585, 16749, 3498, 1094, 3607, 3282, 6283, 18261, 288, 3607, 270, 6347, 3607, 17934, 589, 3607, 1315, 14408, 3607, 17934, 269, 26536, 531, 13082, 13632, 589, 3607, 1315, 14408, 3607, 689, 476, 274, 270, 1626, 5394, 909, 547, 476, 1321, 269, 276, 5394, 267, 3177, 538, 519, 607, 268, 9776, 2783, 269, 901, 568, 519, 1034, 4122, 1031, 3446, 540, 7293, 3327, 5374, 8115, 1094, 3607, 6676, 10892, 263, 30066, 264, 1094, 3607, 5374, 16509, 585, 17001, 7344, 3601, 263, 4614, 601, 264, 4455, 476, 3066, 267, 1708, 271, 2304, 589, 3607, 4496, 949, 581, 1114, 982, 14408, 3607, 538, 8833, 2127, 267, 6011, 1197, 782, 14408, 3607, 4496, 5161, 540, 589, 3607, 25084, 267, 553, 513, 1267, 540, 519, 14408, 3607, 4170, 616, 5097, 1759, 593, 30680, 4441, 269, 17129, 300, 589, 11793, 1530, 600, 1652, 16242, 623, 6559, 6227, 15774, 3327, 5374, 269, 589, 7034, 6103, 589, 267, 288, 295, 3607, 1656, 661, 295, 3607, 26676, 20761, 13082, 17934, 5025, 7034, 1094, 3607, 6676, 585, 8115, 7344, 8115, 1094, 3607, 6676, 10892, 263, 30066, 264, 1094, 3607, 5374, 6676, 585, 7143, 4765, 2497, 2773, 808, 3041, 8115, 1094, 3607, 6676, 10892, 263, 4614, 601, 264, 12182, 17029, 1194, 13082, 17934, 910, 16179, 13082, 17934, 267, 306, 1555, 1652, 13082, 1094, 3607, 5374, 6676, 585, 7143, 4765, 2497, 2773, 808, 3041, 634, 5374, 10824, 616, 4922, 1031, 585, 6928, 20761, 1421, 2489, 2497, 267, 13841, 4070, 267, 15245, 543, 2604, 8708, 267, 12227, 2497, 2687, 547, 519, 1570, 269, 476, 272, 269, 2690, 4937, 543, 21969, 4765, 23113, 910, 23794, 667, 12573, 276, 1315, 808, 3041, 717, 20542, 272, 9399, 6110, 8115, 1094, 3607, 6676, 10892, 454, 274, 269, 273, 269, 274, 269, 1548, 568, 519, 10892, 593, 30908, 585, 17208, 575, 2273, 619, 286, 18983, 24777, 7648, 538, 30908, 585, 23276, 17208, 7143, 4765, 6676, 575, 2273, 619, 616, 9138, 538, 589, 16703, 667, 272, 269, 272, 1849, 1021, 476, 276, 269, 2537, 269, 276, 269, 1403, 621, 568, 2838, 547, 3180, 519, 3921, 3729, 540, 3606, 2798, 2059, 519, 11237, 1369, 513, 1978, 10892, 267, 891, 4170, 1058, 581, 9138, 538, 519, 4579, 6054, 15301, 30066, 264, 5394, 6676, 521, 338, 6110, 263, 4614, 601, 264, 32255, 17556, 601, 9515, 564, 543, 17934, 570, 11217, 1734, 910, 27550, 3205, 8115, 1094, 3607, 6676, 10892, 8115, 1094, 3607, 16509, 6697, 269, 16243, 5374, 6676, 476, 1001, 476, 19054, 476, 22332, 538, 795, 21628, 24175, 269, 8115, 1094, 3607, 6676, 10892, 1094, 6872, 273, 3446, 476, 2004, 5374, 6676, 8115, 3114, 5888, 269, 3997, 476, 29616, 338, 476, 19054, 476, 22332, 331, 476, 25834, 327, 3905, 4411, 18202, 476, 273, 321, 22678, 11604, 554, 331, 269, 2027, 4230, 332, 476, 1001, 476, 22332, 15774, 16243, 10612, 543, 8546, 15301, 30066, 264, 17129, 300, 589, 3607, 12539, 13082, 17934, 543, 6103, 14408, 476, 3607, 16847, 270, 3213, 559, 8115, 1094, 3607, 6676, 10892, 263, 4614, 601, 264, 1094, 3607, 5374, 6676, 666, 581, 14475, 883, 1585, 7293, 2694, 267, 621, 568, 4922, 1031, 585, 1082, 1114, 6080, 585, 513, 3099, 540, 3156, 269, 898, 3132, 1434, 7344, 3959, 543, 1447, 1942, 269, 898, 568, 849, 1031, 538, 1082, 8115, 543, 2679, 25481, 1317, 540, 922, 1164, 4222, 543, 32297, 563, 5978, 13082, 15733, 262, 22912, 919, 912, 303, 871, 1645, 1299, 11288, 281, 0, 4614, 601, 910, 11272, 268, 2117, 5374, 14708, 1923, 27429, 454, 4614, 601, 910, 5374, 910, 11272, 268, 2117, 5374, 14708, 281, 6168, 835, 6709, 6621, 540, 519, 10600, 5374, 568, 3812, 676, 519, 3167, 268, 2117, 1505, 267, 799, 3096, 1164, 268, 9690, 3167, 9095, 338, 547, 15835, 5374, 16150, 543, 6460, 621, 883, 5277, 5374, 540, 513, 9138, 3114, 5888, 543, 2837, 269, 24498, 9095, 8022, 14998, 1732, 8143, 1852, 982, 1281, 519, 2596, 5135, 1184, 267, 538, 799, 8022, 568, 12913, 676, 519, 1970, 1942, 5374, 2497, 1930, 2427, 17183, 2126, 1432, 2186, 540, 2694, 666, 7646, 5374, 581, 1031, 585, 286, 300, 843, 5374, 568, 1031, 585, 2694, 602, 949, 581, 2013, 2182, 2989, 267, 855, 4171, 4295, 4222, 568, 711, 2565, 269, 9717, 519, 2326, 15028, 1942, 267, 9755, 1419, 946, 621, 585, 1164, 31891, 2694, 971, 607, 17684, 3684, 2694, 267, 14788, 338, 267, 21066, 14129, 24039, 267, 543, 2182, 2914, 8960, 7252, 267, 20382, 267, 543, 11800, 2529, 2465, 782, 2164, 585, 713, 2243, 1432, 4523, 547, 519, 3601, 540, 5374, 1282, 3002, 2126, 286, 288, 1689, 538, 519, 3601, 540, 1978, 4496, 543, 23212, 630, 7945, 607, 5374, 264, 602, 4386, 693, 19355, 610, 26815, 11506, 5210, 1310, 513, 3905, 2324, 3002, 2126, 610, 4411, 2324, 5106, 269, 30003, 3601, 12936 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9502, 585, 2206, 569, 30499, 1592, 563, 258, 1362, 5903, 11966, 24998, 2187, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1535, 2187, 258, 1363, 1582, 22183, 815, 1535, 454, 258, 1363, 1582, 12785, 815, 7183, 7531, 5035, 8827, 24998, 2187, 825, 1219, 1039, 10521, 301, 13246, 4311, 267, 561, 272, 267, 561, 273, 2187, 1038, 8173, 1038, 2433, 6943, 561, 272, 281, 5903, 11966, 454, 1038, 2433, 6943, 561, 273, 281, 5903, 11966, 454, 1038, 2433, 337, 6943, 281, 5903, 11966, 454, 1038, 8173, 1038, 2132, 1582, 14491, 10521, 13900, 704, 10857, 272, 267, 561, 273, 267, 476, 271, 2020, 825, 1219, 1039, 10521, 13900, 704, 4311, 267, 561, 272, 267, 561, 273, 267, 4163, 2187, 1038, 952, 561, 272, 568, 7183, 543, 561, 273, 568, 7183, 912, 2018, 952, 4163, 2652, 476, 271, 912, 3546, 2132, 7183, 454, 2018, 3116, 912, 3546, 2132, 5903, 11966, 263, 272, 994, 1038, 952, 561, 272, 568, 7183, 912, 2018, 952, 561, 273, 22183, 1341, 4163, 2652, 476, 1015, 912, 3546, 561, 273, 22183, 815, 476, 271, 454, 3546, 561, 273, 12785, 815, 1582, 14491, 10521, 13900, 704, 263, 14085, 267, 561, 273, 12785, 267, 476, 272, 994, 3546, 2132, 561, 273, 454, 2018, 3116, 912, 3546, 561, 273, 22183, 6834, 4163, 454, 3546, 2132, 561, 273, 454, 1038, 952, 561, 273, 568, 7183, 912, 2018, 2132, 1582, 14491, 10521, 13900, 704, 10857, 273, 267, 561, 272, 267, 4163, 2020, 1038, 1225, 11749, 815, 561, 272, 22183, 1341, 561, 273, 22183, 1341, 4163, 454, 1038, 6843, 815, 5903, 11966, 263, 2017, 11749, 4939, 476, 1015, 994, 1038, 6843, 12785, 815, 1582, 14491, 10521, 13900, 704, 10857, 272, 12785, 267, 561, 273, 12785, 267, 1225, 11749, 1315, 476, 1015, 994, 1038, 2132, 6843, 454, 0, 5035, 8827, 912, 825, 1219, 666, 16248, 8512, 338, 22949, 11764, 4311, 267, 589, 281, 5903, 27776, 8079, 9847, 536, 944, 912, 1038, 521, 815, 2040, 10490, 994, 1038, 1948, 3112, 581, 5258, 883, 476, 274, 2694, 454, 1038, 952, 521, 4939, 476, 274, 11203, 476, 271, 912, 2018, 2132, 8771, 454, 1038, 535, 267, 524, 338, 815, 8771, 267, 476, 271, 454, 1038, 1948, 535, 281, 2436, 649, 1336, 519, 476, 272, 270, 274, 1448, 454, 1038, 1948, 524, 338, 281, 15921, 332, 11494, 2040, 454, 1038, 585, 1775, 267, 1605, 538, 26246, 10490, 2187, 2018, 524, 338, 6834, 1605, 454, 2018, 952, 524, 338, 2652, 521, 12262, 476, 274, 912, 3546, 535, 815, 6936, 454, 2018, 8640, 524, 338, 2652, 630, 338, 12262, 476, 274, 264, 2608, 476, 273, 543, 535, 543, 1775, 2999, 7003, 10490, 264, 910, 476, 272, 912, 3546, 2132, 6936, 454, 1038, 2132, 8771, 454, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 454, 5814, 942, 454, 5228, 5774, 320, 1104, 623, 7701, 692, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 476, 1775, 815, 476, 271, 454, 476, 14039, 815, 476, 271, 692, 476, 5774, 320, 815, 623, 7701, 4590, 476, 1247, 6936, 912, 825, 588, 815, 942, 269, 3000, 582, 4577, 4590, 825, 1247, 942, 269, 3000, 582, 4577, 3890, 910, 588, 2999, 476, 272, 912, 8587, 5774, 320, 269, 8234, 4590, 8587, 1775, 6834, 476, 272, 454, 825, 1820, 9217, 267, 5774, 320, 269, 8234, 19572, 27719, 333, 5602, 825, 1820, 6600, 257, 11854, 539, 281, 2715, 328, 910, 14039, 348, 13703, 5602, 825, 14039, 815, 1775, 692, 0, 18257, 1477, 24280, 3845, 1210, 519, 12794, 951, 710, 16754, 5897, 14503, 326, 3596, 332, 689, 6769, 476, 4179, 2517, 10919, 640, 269, 525, 686, 2593, 17320, 12952, 270, 1723, 15453, 3146, 12401, 1606, 2448, 338, 270, 24108, 270, 1001, 278, 270, 1015, 270, 4962, 270, 3873, 951, 710, 27322, 3121, 1477, 21506, 590, 2775, 2242, 6769, 476, 910, 932, 6548, 519, 11282, 1931, 689, 10693, 267, 4234, 547, 4234, 267, 10693, 1477, 476, 910, 10426, 8953, 607, 513, 9936, 1477, 476, 910, 17776, 3845, 538, 7397, 1477, 476, 910, 3816, 3437, 3977, 1477, 476, 910, 1520, 4765, 1449, 585, 834, 10852, 257, 547, 3977, 513, 2941, 2544, 2418, 1477, 18257, 5897, 5814, 2979, 1477, 5228, 17511, 1104, 16515, 921, 5897, 24160, 305, 272, 815, 476, 277, 318, 4391, 272, 318, 25484, 269, 6507, 272, 275, 5897, 3698, 688, 951, 710, 263, 1723, 867, 272, 281, 16515, 921, 314, 15615, 267, 10581, 3910, 4717, 273, 281, 16515, 921, 314, 15615, 267, 10581, 3910, 8953, 281, 10581, 284, 24160, 305, 272, 264, 9847, 10581, 281, 5897, 825, 1948, 18509, 7149, 538, 8918, 5232, 630, 324, 3052, 269, 476, 273, 269, 279, 3445, 4281, 267, 476, 1321, 269, 8064, 278, 9032, 3418, 825, 4234, 272, 281, 10581, 1477, 825, 10693, 272, 281, 10581, 1477, 825, 4234, 273, 281, 10581, 1477, 825, 10693, 273, 281, 10581, 1477, 825, 4234, 272, 267, 10693, 272, 815, 4717, 272, 1477, 825, 4234, 273, 267, 10693, 273, 815, 4717, 273, 5897, 825, 681, 815, 476, 277, 4391, 1911, 279, 269, 6507, 272, 275, 476, 1948, 8953, 540, 3047, 538, 7397, 1477, 825, 943, 328, 318, 272, 281, 10581, 815, 2979, 269, 2784, 2103, 10857, 520, 272, 3418, 825, 943, 328, 318, 273, 281, 10581, 815, 2979, 269, 2784, 2103, 10857, 520, 273, 3418, 825, 18232, 318, 12978, 281, 10581, 815, 2979, 269, 2784, 2103, 10857, 520, 273, 910, 4234, 272, 3418, 825, 18232, 9078, 10033, 281, 10581, 815, 2979, 269, 2784, 2103, 10857, 517, 273, 910, 10693, 272, 10142, 825, 1948, 14433, 318, 272, 281, 10581, 815, 2979, 269, 2784, 2103, 10857, 517, 272, 3418, 825, 1948, 14433, 318, 273, 281, 10581, 815, 2979, 269, 2784, 2103, 10857, 517, 273, 3418, 825, 1948, 23169, 318, 12978, 281, 10581, 815, 943, 328, 318, 273, 910, 943, 328, 318, 272, 1477, 825, 1948, 23169, 9078, 10033, 281, 10581, 815, 25754, 318, 273, 910, 25754, 318, 272, 5897, 825, 513, 815, 630, 4118, 4732, 514, 5560, 12265, 318, 12978, 1315, 476, 273, 269, 271, 264, 2878, 476, 273, 269, 271, 264, 1341, 630, 4118, 269, 6523, 263, 12978, 318, 272, 264, 2608, 2979, 269, 6523, 263, 12978, 318, 273, 264, 2608, 630, 4118, 4732, 514, 5560, 12265, 9078, 10033, 1315, 476, 273, 269, 271, 264, 2878, 476, 273, 269, 271, 17903, 825, 524, 815, 476, 273, 2608, 2979, 269, 27979, 273, 263, 4118, 28460, 5416, 1070, 2979, 28460, 263, 272, 269, 271, 910, 513, 17903, 825, 7397, 815, 8953, 2608, 524, 476, 1948, 3977, 3845, 538, 7397, 1477, 825, 2132, 7397, 5897, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 6769, 825, 1820, 6600, 9364, 2700, 281, 2715, 3873, 951, 710, 263, 8987, 271, 269, 14138, 6507, 274, 267, 476, 7906, 269, 27944, 3374, 278, 1070, 11196, 6507, 269, 27947, 19740, 267, 476, 4343, 269, 6434, 280, 280, 4029, 4297, 348, 332, 20298, 825, 1820, 6600, 9364, 529, 333, 766, 281, 2715, 3873, 951, 710, 9230, 272, 269, 271, 267, 476, 273, 269, 271, 1070, 630, 272, 269, 271, 267, 476, 274, 269, 271, 4297, 348, 332, 20298, 0, 18851, 1477, 300, 6759, 323, 25222, 632, 715, 14243, 1067, 657, 7849, 525, 267, 1016, 7116, 25222, 632, 30775, 542, 525, 632, 751, 18319, 2036, 13541, 807, 586, 632, 8580, 2863, 657, 1477, 18851, 5897, 604, 6449, 4067, 1029, 2652, 26242, 10852, 1029, 257, 543, 711, 6449, 17569, 720, 1029, 6769, 825, 689, 3448, 318, 5814, 318, 3559, 704, 1104, 3448, 318, 5814, 318, 3559, 704, 1477, 825, 6449, 17569, 720, 1029, 815, 3448, 318, 5814, 318, 3559, 704, 263, 1029, 12803, 1029, 267, 272, 3418, 825, 1642, 3448, 318, 5814, 318, 3559, 704, 1477, 825, 1820, 2891, 573, 548, 8945, 257, 10142, 5814, 621, 1068, 8962, 5897, 5228, 1547, 11499, 318, 1399, 4771, 1104, 5903, 267, 5742, 267, 594, 614, 1807, 1477, 5228, 1547, 518, 549, 637, 1038, 1104, 3143, 19324, 19617, 3266, 20332, 267, 10671, 328, 699, 19617, 3266, 20332, 5327, 1372, 4462, 334, 1477, 5228, 1547, 2102, 1968, 525, 8587, 1104, 1587, 18319, 24653, 1029, 1410, 2850, 318, 5228, 318, 718, 1029, 284, 3553, 5560, 597, 3890, 3418, 5897, 3698, 27353, 3799, 281, 842, 267, 544, 281, 842, 22561, 264, 9847, 703, 6769, 825, 5727, 15542, 3645, 632, 562, 522, 562, 256, 269, 13961, 544, 1965, 546, 5964, 267, 2301, 320, 562, 256, 1110, 544, 1477, 11434, 19923, 31980, 547, 323, 657, 17485, 1064, 17156, 818, 2958, 32221, 1899, 2297, 632, 562, 1073, 27826, 657, 18851, 1477, 825, 952, 562, 13843, 476, 271, 2433, 1477, 1038, 952, 544, 568, 7183, 6769, 2018, 2132, 1587, 18319, 263, 2039, 263, 272, 19885, 266, 272, 264, 476, 3418, 1038, 3116, 6769, 2018, 952, 476, 271, 10922, 544, 10922, 562, 6769, 3546, 2132, 476, 271, 1477, 2018, 2132, 1587, 18319, 263, 2039, 263, 273, 19885, 266, 272, 1070, 544, 284, 332, 267, 1376, 284, 272, 260, 332, 267, 4642, 13425, 18989, 476, 3418, 2018, 1948, 637, 592, 815, 476, 272, 4939, 544, 1477, 2018, 1948, 1721, 1535, 538, 2039, 263, 273, 19885, 266, 272, 8029, 2018, 1948, 825, 759, 592, 815, 630, 637, 592, 20080, 264, 4939, 544, 1477, 2018, 1948, 825, 952, 759, 592, 2525, 271, 6769, 2018, 1948, 1038, 2132, 476, 271, 1477, 2018, 1948, 8873, 759, 592, 1477, 825, 3116, 6769, 1038, 6318, 3143, 19324, 19617, 3266, 20332, 2891, 14976, 1073, 329, 16587, 1100, 2099, 320, 796, 562, 14243, 1067, 334, 2067, 14744, 5897, 3698, 27353, 5327, 25728, 25366, 3799, 281, 842, 267, 737, 281, 842, 267, 544, 281, 842, 22561, 264, 9847, 703, 6769, 825, 5727, 15542, 3645, 13956, 25366, 632, 715, 598, 918, 1784, 839, 657, 23228, 11434, 19923, 31980, 547, 323, 553, 15255, 1106, 320, 632, 554, 27468, 818, 2958, 32221, 1899, 2297, 632, 1279, 2595, 918, 1477, 11434, 598, 796, 8580, 2863, 334, 632, 715, 1073, 27826, 657, 18851, 1477, 825, 952, 562, 13843, 476, 271, 543, 737, 13843, 476, 271, 6769, 1038, 952, 737, 285, 333, 6769, 2018, 2132, 476, 271, 1477, 1038, 952, 544, 568, 7183, 6769, 2018, 2132, 1587, 18319, 263, 2039, 263, 630, 333, 10275, 266, 272, 1070, 333, 266, 272, 3738, 476, 3418, 1038, 3116, 6769, 2018, 1003, 815, 2039, 263, 630, 333, 10275, 266, 272, 1070, 333, 266, 272, 476, 3418, 2018, 952, 544, 538, 1003, 6769, 3546, 2132, 476, 271, 1477, 2018, 2132, 1587, 18319, 263, 1003, 267, 544, 284, 332, 267, 4642, 13425, 18989, 476, 3418, 1038, 1948, 8873, 2569, 10857, 10033, 1535, 11971, 281, 1535, 265, 344, 267, 2039, 9230, 333, 10275, 266, 272, 1070, 333, 266, 272, 264, 2073, 272, 476, 3418, 825, 3116, 6769, 1038, 6318, 3143, 19324, 19617, 3266, 20332, 2891, 14976, 1073, 329, 16587, 1100, 2099, 320, 796, 562, 14243, 1067, 334, 2067, 14744, 5897, 3698, 27353, 2026, 25728, 25366, 3799, 281, 842, 267, 737, 281, 842, 267, 544, 281, 842, 22561, 264, 9847, 703, 6769, 825, 5727, 15542, 3645, 10841, 754, 25366, 632, 715, 598, 918, 10841, 839, 657, 23228, 11434, 19923, 31980, 3288, 18085, 21059, 632, 1106, 553, 632, 11281, 715, 1073, 27826, 657, 1477, 11434, 679, 918, 1309, 329, 553, 1106, 18372, 3921, 25333, 1899, 2297, 7202, 549, 632, 15255, 1309, 329, 553, 18851, 1477, 825, 952, 562, 13843, 476, 271, 543, 737, 13843, 476, 271, 6769, 1038, 1003, 815, 2039, 3799, 19885, 266, 330, 3418, 1038, 952, 476, 271, 538, 1003, 610, 630, 544, 568, 711, 7183, 543, 544, 538, 1003, 8029, 2018, 2132, 476, 271, 1477, 1038, 2132, 1587, 18319, 263, 1003, 267, 544, 284, 332, 267, 4642, 13425, 284, 332, 568, 711, 7183, 476, 3418, 1038, 1948, 8873, 2569, 10857, 10033, 1535, 11971, 281, 343, 265, 344, 267, 2039, 3799, 19885, 266, 330, 1070, 272, 3418, 825, 3116, 6769, 1038, 6318, 3143, 19324, 19617, 3266, 20332, 2891, 14976, 1073, 329, 16587, 1100, 2099, 320, 796, 562, 14243, 1067, 334, 2067, 14744, 5897, 3698, 2036, 13541, 1470, 3799, 281, 842, 267, 737, 281, 842, 264, 9847, 703, 6769, 825, 5727, 301, 14243, 1067, 334, 2036, 13541, 1470, 715, 679, 918, 23228, 11434, 19923, 31980, 1714, 562, 14243, 1067, 334, 632, 1016, 8410, 329, 2863, 657, 632, 512, 4821, 25123, 918, 632, 796, 715, 8410, 329, 2863, 334, 1477, 11434, 744, 3288, 18085, 21059, 632, 1106, 553, 632, 12461, 597, 918, 1073, 27826, 657, 632, 1303, 516, 715, 632, 14248, 657, 18851, 1477, 825, 952, 562, 13843, 476, 271, 543, 737, 13843, 476, 271, 2433, 1477, 1038, 952, 562, 2525, 330, 6769, 2018, 2132, 476, 272, 1477, 1038, 8640, 737, 283, 333, 6769 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 26607, 11888, 476, 1789, 628, 267, 5239, 476, 1001, 280, 476, 6187, 281, 5655, 281, 5392, 281, 7537, 269, 4976, 269, 26999, 773, 16114, 657, 563, 4131, 614, 3211, 3214, 4976, 20800, 3652, 1840, 543, 7792, 9904, 2062, 337, 326, 6914, 1863, 25258, 8289, 1913, 547, 1990, 269, 3816, 1046, 762, 7792, 9904, 3211, 585, 9656, 2465, 25258, 8289, 1913, 269, 15026, 9904, 3211, 528, 9656, 7508, 5022, 609, 2592, 4976, 7415, 269, 14594, 3211, 7792, 4976, 9904, 16439, 10145, 585, 9656, 563, 307, 11698, 476, 1015, 628, 267, 4728, 476, 1708, 271, 476, 1240, 281, 4510, 281, 3953, 281, 6751, 269, 4976, 269, 18281, 5062, 32607, 563, 306, 680, 754, 328, 1297, 3211, 585, 9656, 3214, 2979, 2338, 4976, 7792, 269, 7089, 3211, 22509, 1041, 1453, 7508, 1101, 3446, 4484, 2542, 2979, 9656, 269, 25478, 3211, 554, 338, 585, 4832, 9656, 476, 7597, 277, 343, 6200, 279, 26672, 328, 1297, 4976, 1863, 2681, 676, 9236, 1101, 269, 590, 680, 754, 328, 1297, 3211, 585, 9656, 4976, 1954, 518, 842, 762, 12805, 543, 1101, 3446, 2542, 563, 306, 1495, 599, 476, 5400, 628, 267, 4728, 476, 1708, 271, 476, 876, 281, 1704, 281, 4905, 281, 7537, 269, 4976, 269, 26637, 1408, 31513, 563, 30747, 7124, 4484, 3211, 18216, 4301, 9904, 575, 4976, 9251, 524, 660, 544, 3149, 2093, 476, 9083, 275, 343, 15171, 276, 269, 22843, 3211, 585, 23021, 705, 14369, 4484, 12805, 575, 7792, 9656, 5961, 269, 5131, 9656, 3211, 7792, 9904, 585, 7508, 4484, 563, 31388, 476, 6734, 6113, 267, 5988, 476, 1708, 271, 476, 1240, 281, 1428, 281, 2412, 281, 6751, 269, 4976, 269, 26637, 1408, 31513, 563, 10403, 476, 273, 526, 8565, 2542, 8223, 9212, 3211, 723, 1187, 3450, 2238, 269, 5131, 476, 273, 526, 3446, 2542, 8223, 3211, 15102, 18812, 341, 710, 342, 710, 561, 889, 585, 13300, 1770, 835, 3018, 1820, 719, 2789, 3903, 3595, 3106, 7792, 269, 476, 273, 526, 3446, 2542, 517, 4976, 1863, 3211, 723, 1187, 3450, 585, 3214, 563, 31388, 476, 6734, 6113, 267, 5988, 476, 1708, 271, 476, 1704, 281, 6321, 281, 4649, 281, 6751, 269, 4976, 269, 26999, 773, 16114, 657, 563, 273, 526, 3446, 6482, 3756, 2979, 7740, 9058, 3239, 2093, 4976, 269, 23448, 867, 2435, 476, 273, 526, 5552, 699, 618, 3756, 3239, 2093, 2034, 4976, 1863, 269, 20970, 339, 10759, 476, 273, 526, 3446, 2034, 3756, 2228, 1954, 1115, 563, 31388, 476, 6734, 6113, 267, 5988, 476, 1708, 271, 476, 2420, 281, 1015, 281, 3374, 281, 6751, 269, 4976, 269, 20182, 16737, 563, 290, 339, 335, 3583, 276, 277, 9078, 4976, 17400, 800, 1603, 321, 564, 8666, 4943, 725, 10959, 1863, 7792, 25777, 3211, 269, 595, 2720, 800, 1603, 9904, 8666, 4943, 725, 4976, 2462, 1433, 540, 25777, 10250, 543, 2328, 2259, 544, 764, 1638, 965, 544, 2329, 476, 10037, 580, 329, 539, 335, 1097, 331, 1863, 3211, 269, 8018, 25777, 1603, 12001, 533, 978, 17157, 691, 1863, 4647, 586, 23424, 17400, 800, 9904, 10959, 2259, 9212, 269, 595, 2720, 800, 1603, 9904, 8666, 4943, 725, 2259, 27641, 5022, 7792, 3211, 25258, 1863, 563, 31388, 476, 6734, 6113, 267, 5988, 476, 1708, 271, 476, 1626, 281, 4649, 281, 4962, 281, 6751, 269, 4976, 269, 1744, 11921, 6022, 1067, 563, 29209, 2181, 1613, 9735, 476, 273, 526, 3446, 8223, 1983, 3239, 4943, 725, 4976, 1954, 525, 543, 2055, 476, 274, 6113, 269, 5822, 5552, 3290, 3211, 476, 273, 526, 2238, 476, 274, 6113, 1592, 540, 1983, 2542, 269, 8018, 476, 273, 526, 3446, 8223, 1983, 9735, 3239, 4943, 725, 859, 534, 8548, 3233, 318, 16149, 318, 15105, 4818, 2034, 3211, 269, 476, 273, 526, 5552, 788, 516, 2380, 542, 1983, 2034, 2542, 3211, 1592, 540, 1863, 563, 307, 11698, 476, 6860, 628, 267, 5988, 476, 1708, 271, 476, 6860, 281, 5400, 281, 6872, 281, 7537, 269, 4976, 269, 1744, 11921, 6022, 1067, 563, 10403, 23573, 14235, 7801, 3817, 2985, 14952, 748, 31914, 599, 1153, 5961, 585, 1574, 614, 269, 31733, 748, 1863, 31914, 599, 1153, 7801, 3817, 7792, 795, 4615, 9212, 547, 1820, 585, 3214, 269, 8018, 324, 31914, 599, 1153, 7801, 3817, 28581, 3909, 5869, 585, 3214, 547, 1820, 9212, 26987, 563, 307, 11698, 476, 6860, 628, 267, 5988, 476, 1708, 271, 476, 6860, 281, 6812, 281, 5379, 281, 7537, 269, 4976, 269, 26396, 3534, 25371, 563, 17582, 18694, 1863, 3446, 1266, 5894, 19298, 7824, 4087, 593, 7470, 8239, 2542, 269, 6103, 2262, 2042, 6404, 1863, 3211, 476, 273, 526, 2979, 1966, 543, 7792, 737, 276, 4976, 26987, 269, 5131, 3446, 324, 1115, 1394, 547, 1153, 2681, 676, 1840, 7005, 8239, 7824, 563, 31388, 476, 6734, 6113, 267, 5988, 476, 1708, 271, 476, 866, 281, 3374, 281, 1428, 281, 6751, 269, 4976, 269, 26637, 1408, 31513, 563, 17582, 18694, 8691, 3446, 2542, 7707, 330, 19298, 476, 274, 6113, 333, 3211, 476, 277, 628, 2979, 1858, 31417, 4605, 4943, 725, 269, 8018, 8691, 3446, 8691, 9078, 784, 5332, 334, 4671, 29323, 1807, 318, 30588, 275, 318, 9826, 7272, 514, 4928, 6143, 9212, 269, 8018, 8691, 3446, 1655, 476, 275, 628, 2979, 596, 30300, 1513, 1863, 2042, 3211, 269, 0, 2467, 616, 16110, 476, 4335, 271, 28298, 12810, 693, 519, 1360, 2547, 891, 2010, 540, 1496, 928, 3258, 320, 13912, 15873, 6438, 1496, 928, 3258, 320, 3910, 799, 1491, 606, 2179, 540, 3688, 543, 3347, 1927, 267, 543, 2769, 873, 676, 4758, 1142, 6221, 513, 476, 273, 291, 2990, 267, 607, 519, 3347, 616, 6829, 607, 4296, 11341, 547, 519, 3688, 610, 6772, 2355, 11341, 547, 519, 3688, 8320, 540, 971, 2553, 281, 3529, 6516, 3060, 6516, 2095, 24577, 966, 3317, 6516, 16650, 3113, 8641, 2861, 12222, 891, 4159, 513, 11450, 1063, 1079, 4632, 602, 1491, 2901, 15768, 610, 1256, 513, 6024, 9832, 540, 2418, 1806, 281, 27008, 3046, 3113, 2650, 5750, 1599, 3113, 14649, 4729, 2480, 24136, 543, 824, 2010, 540, 12222, 267, 552, 3052, 1421, 5721, 8430, 6516, 1011, 10757, 2070, 2551, 5860, 4786, 27505, 518, 15799, 8422, 8820, 6516, 11153, 540, 891, 8677, 540, 12222, 616, 3622, 6383, 1210, 6516, 2719, 3301, 899, 6250, 1470, 543, 3794, 858, 344, 269, 589, 1804, 1297, 540, 6516, 2553, 2291, 269, 4634, 811, 1806, 1246, 269, 30894, 949, 849, 581, 9286, 538, 13076, 609, 946, 610, 3483, 267, 676, 1259, 540, 1383, 267, 28706, 543, 5924, 519, 1655, 1259, 547, 12222, 563, 288, 11314, 6516, 1031, 538, 772, 7876, 476, 277, 270, 280, 543, 590, 903, 7876, 645, 29732, 2006, 6516, 4425, 5255, 1031, 538, 3301, 4702, 13332, 6516, 13332, 9502, 12810, 645, 24884, 1031, 538, 590, 903, 7876, 595, 2961, 2651, 6516, 14295, 6945, 9697, 24608, 4783, 11906, 3830, 4354, 569, 15561, 6516, 21145, 3069, 12222, 20531, 7146, 13716, 6516, 932, 867, 6516, 18065, 6516, 4147, 6516, 689, 772, 7876, 476, 272, 270, 280, 21664, 6516, 689, 772, 7876, 476, 273, 269, 271, 9442, 6516, 689, 772, 7876, 476, 273, 269, 271, 2155, 32477, 6516, 18948, 6516, 3281, 9426, 6516, 689, 772, 7876, 476, 274, 270, 280, 1290, 22683, 2497, 6516, 689, 772, 7876, 476, 273, 269, 271, 10417, 4786, 4790, 749, 566, 6516, 12745, 6516, 6513, 2095, 6516, 2552, 712, 6516, 24778, 1512, 6516, 9061, 6198, 2095, 24577, 667, 4578, 2203, 6516, 4578, 2095, 6516, 4578, 2497, 6516, 667, 754, 5766, 1090, 667, 2570, 1890, 6516, 1546, 7877, 6516, 689, 772, 7876, 476, 280, 270, 280, 29961, 543, 3444, 6516, 17677, 19389, 4786, 1031, 538, 2069, 19537, 330, 517, 7302, 691, 661, 9980, 640, 7304, 601, 725, 1222, 6516, 18317, 291, 7926, 12454, 1184, 5832, 25586, 6516, 16685, 6516, 513, 6516, 540, 513, 4607, 26313, 5365, 18124, 8566, 27326, 23398, 10046, 13332, 12810, 661, 13697, 9720, 674, 7731, 3529, 3171, 2106, 2006, 6516, 10046, 5750, 10046, 1184, 5750, 10046, 6516, 674, 4288, 6516, 5131, 1560, 6516, 717, 717, 656, 339, 5750, 2982, 519, 12557, 540, 4247, 610, 2238, 1031, 538, 1788, 2359, 717, 8527, 6929, 6516, 6153, 2006, 6516, 2982, 519, 9854, 1239, 1383, 281, 585, 513, 2842, 17081, 19059, 670, 13201, 572, 6516, 670, 7709, 302, 6516, 594, 18378, 13332, 12810, 594, 9720, 1031, 538, 590, 903, 7876, 9517, 9128, 271, 9517, 9128, 272, 11769, 1894, 19983, 7650, 6516, 689, 772, 7876, 1772, 327, 1731, 11867, 6516, 808, 12722, 6516, 918, 31016, 2795, 4786, 20943, 26517, 6516, 700, 700, 9554, 6516, 7412, 540, 3666, 13017, 8239, 6516, 631, 9410, 18317, 291, 24606, 25627, 15873, 9650, 4786, 1031, 585, 1565, 267, 23730, 267, 3965, 267, 3308, 3206, 543, 1966, 6061, 631, 1074, 22603, 838, 659, 8135, 6516, 17449, 20771, 6516, 715, 715, 273, 715, 817, 328, 1744, 928, 573, 9007, 6516, 610, 1785, 6945, 513, 6041, 585, 11295, 5752, 32633, 6945, 8416, 6516, 744, 8629, 6516, 689, 772, 7876, 476, 273, 270, 280, 5029, 580, 1090, 2201, 542, 6516, 849, 1634, 607, 834, 560, 17977, 966, 3317, 6516, 257, 623, 13268, 720, 6516, 689, 772, 7876, 476, 275, 270, 280, 543, 590, 903, 7876, 20368, 13011, 6516, 689, 590, 903, 7876, 623, 12224, 8891, 686, 2121, 2982, 519, 2497, 540, 513, 7856, 1062, 607, 513, 9859, 536, 760, 691, 924, 3113, 609, 14391, 725, 623, 17222, 21925, 3529, 910, 4564, 513, 18105, 4094, 344, 12105, 3347, 1851, 2516, 540, 7103, 26932, 532, 543, 31627, 6516, 623, 261, 2839, 18001, 6516, 1031, 547, 1459, 4396, 15828, 18612, 17320, 553, 1344, 7233, 12810, 16242, 4320, 6516, 1031, 547, 20272, 9817, 32449, 9346, 1460, 6516, 6713, 2095, 6516, 610, 21668, 291, 1031, 538, 3114, 4702, 5358, 2497, 6516, 681, 7101, 541, 5750, 7101, 658, 12810, 18859, 618, 12810, 13242, 538, 590, 903, 7876, 6762, 16514, 681, 26817, 8183, 13705, 532, 6516, 590, 5842, 4486, 6516, 4564, 1570, 267, 1648, 610, 1942, 8928, 609, 7274, 14354, 21985, 538, 513, 1184, 3060, 269, 22054, 6516, 4564, 519, 21342, 2497, 540, 513, 2067, 1893, 4845, 269, 25627, 6516, 689, 772, 7876, 476, 279, 270, 280, 543, 590, 903, 7876, 12676, 299, 270, 16165, 6516, 10410, 2305, 543, 13517, 5678, 269, 12676, 299, 568, 513, 6101, 1893, 1031, 538, 2780, 2257, 269, 8055, 5750, 30064, 5750, 1975, 2001, 6516, 9399, 4696, 300, 13419, 3293, 7010, 5811, 543, 5071, 6396, 1108, 1031, 538, 3301, 4702, 10060, 5750, 14727, 601, 17155, 12106, 3557, 6516, 616, 1031, 585, 1533, 6191, 538, 3301, 4702, 689, 772, 7876, 476, 278, 270, 280, 4210, 574, 26738, 16522, 1314, 6516, 1031, 538, 3301, 4702, 547, 2099, 513, 2796, 6954, 8239, 7010, 10334, 8641, 673, 3502, 566, 513, 21370, 10035, 1031, 538, 12222, 540, 23020, 543, 10408, 3157, 6594, 538, 7010, 7350, 3590, 2796, 6516, 3590, 2497, 3590, 1738, 11768, 4058, 570, 7033, 532, 12810, 281, 7913, 7033, 532, 12810, 7033, 532, 12810, 281, 772, 7876, 476, 273, 269, 271, 570, 304, 300, 12810, 7066, 655, 777, 772, 772, 7876, 6516, 1133, 1881, 21290, 5678, 1031, 538, 3301, 4702, 2422, 2013, 6516, 689, 772, 7876, 476, 276, 270, 280, 543, 590, 903, 7876, 966, 10025, 20837, 29570, 966, 3317, 6516, 966, 528, 517, 16211, 6516, 654, 2782, 333, 1512, 268, 7775, 337, 4024, 3999, 6516, 962, 2659, 18484, 4211, 1933, 1294, 11977, 2659, 18484, 267, 1031, 538, 3301, 4702, 454, 12606, 338, 16110, 476, 4335, 271, 28298, 12810, 476, 4335, 271, 270, 736, 476, 4335, 271, 270, 1015, 476, 4335, 271, 270, 1321, 476, 4335, 271, 270, 2568, 476, 4335, 876, 270, 275, 476, 4335, 271, 270, 5611, 476, 4335, 271, 270, 2004, 476, 4335, 876, 270, 1321, 476, 4335, 271, 586, 523, 547, 721, 323, 476, 4335, 271, 586, 523, 476, 4335, 271, 269, 6349, 476, 4335, 271, 26910, 11718, 476, 4335, 271, 6550, 547, 9489, 476, 4335, 271, 13362, 3915, 476, 4335, 876, 1535, 476, 1789, 476, 4335, 271, 4062, 11015, 476, 4335, 271, 1032, 20014, 476, 4335, 876, 4465, 547, 721, 323, 476, 4335, 271, 4465, 547, 721, 323, 476, 4335, 271, 3108, 547, 2395, 476, 4335, 876, 586, 523, 547, 9489, 476, 4335, 271, 943, 335, 547, 721, 323, 476, 4335, 271, 1775, 340, 6171, 546, 476, 4335, 271, 3268, 547, 5195, 476, 4335, 876, 26240, 657, 2415, 550, 16394, 513, 12373, 4100, 585, 323, 476, 4335, 271, 8778, 528, 6771, 6516, 585, 323, 476, 4335, 271, 6771, 6516, 454, 4335, 271, 630, 15893, 264, 476, 4335, 271, 630, 325, 633, 8536, 264, 568, 519, 2067, 1297, 1739, 476, 275, 4200, 280, 543, 18631, 476, 4335, 272, 269, 12866, 8536, 568, 519, 4102, 568, 6945, 6193, 1297, 538, 519, 2296, 1893, 269, 6733 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1283, 540, 519, 18232, 563, 8110, 14651, 568, 4867, 16246, 519, 19527, 540, 519, 18232, 543, 786, 3136, 547, 2429, 519, 1985, 1906, 4374, 2443, 21237, 16069, 547, 2901, 2445, 5439, 267, 1491, 6337, 267, 610, 21656, 543, 1382, 4277, 2627, 2934, 538, 519, 18232, 269, 634, 2034, 2257, 5859, 568, 1305, 547, 2063, 1472, 3368, 606, 3047, 1032, 563, 300, 1513, 31660, 31758, 15470, 9814, 454, 8310, 1032, 267, 8331, 779, 9370, 31660, 11497, 3438, 2443, 519, 8116, 779, 13074, 18835, 9370, 5692, 543, 2487, 18579, 540, 513, 5692, 10137, 2443, 2879, 11474, 2789, 2592, 540, 519, 6742, 1014, 2627, 693, 21554, 269, 16270, 7421, 519, 2592, 538, 7298, 1769, 543, 1210, 519, 11497, 3438, 779, 3002, 25259, 8254, 547, 2445, 3606, 2592, 267, 3744, 941, 3533, 536, 3530, 1194, 676, 1018, 789, 941, 7487, 593, 519, 6742, 1014, 2627, 563, 2691, 7421, 519, 2592, 538, 7298, 1769, 267, 519, 1895, 540, 3744, 941, 7487, 513, 15293, 569, 267, 4544, 22554, 15470, 4494, 538, 1978, 2127, 540, 519, 6742, 1014, 2627, 269, 1717, 267, 950, 13156, 519, 2592, 1210, 519, 11497, 3438, 779, 3002, 25259, 8254, 267, 789, 1336, 602, 519, 4672, 2965, 4988, 513, 1454, 3677, 6712, 540, 519, 6742, 1014, 2627, 982, 1223, 581, 2938, 538, 7298, 1769, 269, 1548, 779, 811, 267, 519, 3744, 1336, 602, 519, 4672, 6106, 941, 2693, 3743, 585, 6742, 1014, 7452, 1285, 23750, 2583, 563, 763, 3744, 2907, 6785, 602, 519, 15470, 1185, 4646, 16074, 543, 729, 6140, 3327, 8166, 267, 1818, 519, 4672, 4494, 9247, 3819, 4672, 267, 607, 3327, 8166, 4672, 811, 4122, 3029, 593, 9370, 685, 2627, 982, 1216, 4672, 269, 1717, 267, 519, 851, 540, 519, 2592, 602, 729, 5963, 536, 3530, 1782, 729, 1946, 519, 4672, 1223, 581, 2938, 538, 930, 2127, 543, 711, 538, 1866, 563, 8794, 9370, 31660, 779, 26365, 2506, 2153, 24919, 3590, 630, 15578, 300, 3041, 1070, 519, 3744, 941, 2111, 547, 10625, 519, 9814, 3297, 519, 5250, 540, 713, 2189, 3819, 4672, 15470, 563, 2691, 10655, 519, 2592, 1031, 538, 519, 1353, 267, 6887, 1131, 2832, 5990, 300, 3041, 693, 519, 2627, 1472, 476, 278, 281, 876, 513, 6230, 269, 2199, 9370, 942, 267, 3246, 513, 2189, 1413, 693, 519, 6742, 1014, 2627, 607, 519, 6129, 1175, 3459, 547, 4473, 936, 519, 16880, 543, 3002, 519, 6742, 1014, 5790, 563, 4002, 3047, 267, 2627, 4672, 543, 15470, 6106, 666, 3251, 13792, 585, 3764, 267, 3108, 267, 543, 3006, 2407, 2395, 1310, 519, 6129, 14380, 1813, 547, 519, 5860, 540, 3047, 779, 5790, 543, 519, 8795, 6172, 520, 1670, 3270, 538, 1978, 2127, 269, 1717, 267, 9370, 685, 5790, 568, 5393, 6094, 267, 1175, 835, 2600, 519, 5860, 540, 3047, 779, 267, 865, 519, 6129, 666, 1360, 3533, 3002, 519, 5790, 4166, 1310, 621, 14380, 936, 519, 16880, 563, 18814, 547, 713, 7920, 543, 2656, 8337, 540, 519, 6742, 1014, 5790, 267, 1034, 3819, 4672, 610, 15470, 6106, 593, 519, 6742, 1014, 2627, 786, 11517, 1125, 883, 519, 5790, 538, 1175, 3764, 2864, 982, 15835, 883, 519, 2627, 936, 1896, 3108, 563, 3080, 540, 519, 3744, 267, 12359, 553, 700, 1052, 267, 1101, 8068, 513, 4411, 15040, 2404, 609, 15470, 602, 729, 711, 7298, 538, 7298, 1769, 269, 21452, 267, 713, 4411, 15040, 729, 1373, 9571, 1175, 9937, 540, 8020, 6425, 2630, 519, 6742, 1014, 2627, 267, 799, 568, 1447, 982, 519, 8700, 540, 513, 1480, 4552, 563, 2108, 5978, 1101, 2219, 729, 4672, 1223, 581, 12617, 972, 269, 16959, 4672, 568, 726, 550, 3814, 2282, 9370, 685, 18635, 267, 855, 649, 941, 3168, 6251, 547, 519, 20337, 540, 519, 4541, 267, 1141, 621, 779, 3622, 1932, 3636, 585, 3819, 4672, 15470, 547, 1106, 2223, 1767, 700, 1052, 563, 27407, 267, 519, 3744, 5462, 602, 519, 15865, 15470, 729, 1634, 607, 968, 323, 8812, 15470, 892, 2443, 513, 3819, 4672, 1106, 6404, 609, 5386, 9274, 540, 6742, 1014, 7452, 269, 1452, 5386, 7452, 9274, 21372, 519, 15470, 538, 7298, 1769, 855, 711, 538, 18342, 543, 3002, 25259, 2592, 2443, 799, 6941, 1946, 519, 3744, 941, 7487, 519, 15470, 538, 18342, 2592, 855, 711, 538, 7298, 1769, 2592, 563, 1432, 779, 811, 267, 519, 11517, 1436, 540, 713, 4672, 1223, 581, 3743, 585, 7452, 1285, 23750, 2583, 593, 9370, 267, 623, 1664, 5060, 1696, 620, 269, 2491, 538, 741, 1867, 563, 2691, 519, 15470, 6106, 11517, 1125, 593, 519, 19527, 540, 10239, 610, 1804, 5070, 546, 17480, 543, 15113, 267, 789, 616, 2219, 547, 2014, 519, 5250, 540, 7452, 1285, 23750, 2583, 1524, 519, 2427, 540, 1767, 10239, 267, 546, 17480, 267, 543, 15113, 2443, 2870, 1279, 267, 4158, 6960, 1792, 6545, 593, 519, 6742, 1014, 2627, 269, 9521, 18596, 9386, 1899, 2801, 267, 799, 616, 1360, 2147, 547, 519, 7452, 1285, 23750, 2583, 543, 1732, 13006, 267, 891, 7452, 1285, 23750, 2583, 2049, 1360, 3533, 936, 519, 1576, 540, 513, 1906, 3108, 267, 3079, 540, 4374, 563, 26796, 11837, 519, 4087, 540, 891, 4158, 1792, 6545, 3361, 676, 1285, 23750, 2583, 267, 623, 1664, 5060, 1696, 620, 269, 1336, 602, 519, 1285, 23750, 2583, 4043, 547, 2049, 538, 2127, 1141, 519, 6640, 3819, 4672, 15470, 568, 4092, 269, 13018, 267, 519, 3744, 3494, 602, 519, 11517, 1436, 540, 519, 15470, 5932, 1175, 2614, 2604, 547, 3138, 4923, 513, 1906, 6742, 1014, 7452, 9274, 267, 2870, 606, 1285, 23750, 3832, 563, 2108, 9336, 942, 649, 6494, 513, 5692, 547, 9370, 267, 649, 3605, 16678, 1007, 3157, 269, 1284, 1810, 1406, 723, 4376, 4010, 899, 513, 9386, 1792, 752, 593, 3047, 269, 1411, 723, 547, 1589, 3564, 707, 2833, 593, 3047, 547, 1174, 9370, 2223, 1767, 18281, 29885, 540, 8832, 14151, 2160, 538, 25035, 560, 3530, 543, 835, 540, 519, 1957, 779, 1071, 22052, 4243, 563, 303, 1664, 5060, 1696, 620, 10200, 338, 1382, 543, 2164, 941, 3370, 538, 519, 4750, 540, 2983, 26491, 3194, 281, 4643, 1115, 2063, 3923, 563, 22117, 3239, 281, 30310, 779, 14745, 540, 9370, 31660, 28835, 9370, 630, 3847, 1070, 3131, 14651, 25135, 513, 1582, 773, 1282, 922, 1101, 2257, 5859, 538, 8614, 14706, 9197, 831, 630, 2431, 1040, 630, 290, 13072, 281, 8331, 32434, 12195, 630, 3847, 1070, 8331, 32434, 12195, 4211, 531, 27700, 630, 2431, 4917, 763, 2022, 9370, 476, 1708, 271, 5170, 2257, 538, 8614, 14706, 267, 9370, 31660, 31758, 6742, 1014, 15470, 9814, 7902, 1101, 593, 7730, 3008, 10628, 293, 2775, 2593, 269, 0, 289, 19272, 294, 4629, 26685, 281, 1703, 568, 1419, 4008, 9186, 538, 1569, 543, 11865, 540, 1416, 269, 6468, 2887, 998, 519, 18015, 540, 519, 3782, 1062, 1813, 547, 4008, 1532, 328, 1078, 8155, 543, 25013, 14227, 4567, 269, 631, 24518, 7495, 306, 281, 901, 1353, 3096, 5046, 268, 866, 3023, 16162, 12000, 27935, 1239, 689, 476, 15836, 2477, 269, 4635, 18849, 14259, 6137, 543, 791, 16615, 2409, 543, 10636, 657, 1027, 2880, 5276, 9695, 2203, 267, 621, 27180, 519, 1198, 540, 6211, 2188, 543, 4008, 8155, 593, 4080, 3604, 538, 5256, 543, 4775, 5046, 268, 866, 2013, 543, 2669, 3928, 269, 19419, 8085, 4811, 281, 13834, 8155, 616, 1713, 2188, 7713, 971, 3604, 269, 18831, 267, 1141, 2021, 1995, 811, 7130, 538, 3885, 543, 723, 1447, 1569, 547, 2200, 267, 2069, 543, 8804, 267, 1867, 3677, 3604, 1063, 5256, 543, 4775, 3928, 540, 5046, 268, 866, 2665, 543, 7972, 269, 12164, 12710, 4785, 12778, 281, 6468, 781, 2539, 1569, 547, 3782, 1813, 547, 1514, 8155, 267, 2883, 543, 1875, 1922, 514, 2574, 7496, 949, 1860, 2021, 781, 4152, 585, 5046, 268, 866, 543, 1569, 547, 7850, 1416, 267, 543, 1267, 538, 896, 516, 19959, 4775, 2665, 543, 7972, 689, 5046, 268, 866, 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 ]
[ 337, 560, 318, 10831, 1341, 27116, 526, 318, 10831, 9239, 611, 1288, 4590 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3549, 610, 6080, 16363, 4105, 547, 519, 6626, 4346, 269, 1280, 1383, 267, 1282, 519, 2518, 2883, 6433, 540, 476, 1220, 279, 267, 1896, 2101, 8492, 4607, 8101, 1102, 16272, 540, 1857, 2724, 538, 1931, 547, 2061, 873, 689, 2458, 2355, 532, 7357, 269, 2755, 971, 3800, 666, 948, 11574, 2110, 3856, 2804, 16132, 267, 789, 1419, 2097, 693, 1713, 1942, 547, 27710, 16558, 543, 949, 1711, 5837, 9651, 2042, 676, 8716, 19408, 2623, 1851, 10909, 8391, 5351, 269, 5015, 267, 952, 14605, 2966, 610, 8045, 267, 32548, 719, 15004, 1223, 25409, 4324, 14547, 23265, 543, 26933, 2864, 982, 8723, 4600, 543, 6800, 780, 21446, 8271, 267, 32548, 15564, 4125, 1964, 31382, 7963, 13800, 865, 602, 5491, 832, 543, 9520, 7703, 930, 6712, 540, 519, 11411, 2404, 609, 2883, 11605, 269, 1635, 13346, 811, 4220, 5196, 1346, 945, 32380, 10924, 873, 538, 13287, 540, 7443, 267, 32548, 15564, 2832, 547, 3895, 3152, 2344, 9015, 543, 2569, 5837, 9651, 4145, 269, 1717, 267, 7598, 513, 3811, 32548, 2987, 3340, 6297, 11558, 1063, 22124, 267, 2883, 5238, 267, 543, 824, 8639, 267, 607, 1134, 607, 2312, 2792, 3823, 6788, 543, 1761, 4093, 269, 5047, 267, 972, 568, 2141, 519, 7872, 602, 7050, 946, 540, 32548, 15564, 1223, 24183, 20090, 6015, 543, 17225, 2104, 5092, 8928, 883, 4299, 2477, 780, 5194, 1271, 2460, 540, 1514, 10304, 3609, 25701, 547, 519, 11865, 540, 1898, 2533, 971, 607, 3782, 267, 2069, 267, 543, 8027, 269, 769, 1082, 6932, 6990, 267, 1804, 12415, 540, 519, 2551, 3668, 7850, 1569, 547, 891, 2200, 1813, 547, 2188, 1519, 6710, 267, 13664, 10072, 267, 610, 11528, 7130, 269, 21278, 8471, 3795, 585, 971, 2533, 6799, 1312, 2845, 6750, 2591, 543, 1713, 3790, 267, 2943, 1382, 9846, 9727, 602, 10115, 538, 1480, 3854, 11729, 8101, 27993, 538, 2474, 540, 4824, 1072, 4093, 267, 8476, 7607, 267, 543, 4389, 4747, 8635, 269, 9182, 267, 13167, 3617, 4507, 1472, 3028, 6765, 3788, 513, 2629, 10862, 585, 6608, 5275, 547, 6536, 8537, 2208, 24551, 780, 7661, 267, 621, 568, 4502, 15663, 602, 1514, 10304, 3609, 1281, 711, 2291, 538, 10072, 855, 3079, 3029, 851, 540, 513, 3677, 5117, 21214, 3875, 11051, 543, 5238, 269, 13229, 5698, 1063, 1857, 5823, 8041, 267, 4357, 4213, 267, 3540, 2486, 3906, 267, 543, 3486, 1646, 4891, 568, 4061, 1898, 585, 4180, 17396, 3609, 6114, 543, 9319, 26516, 4539, 269, 1280, 3236, 267, 12352, 1063, 29505, 14078, 543, 2199, 27013, 666, 7520, 5578, 4483, 543, 4390, 2679, 7341, 267, 7551, 4543, 547, 7668, 12790, 2950, 543, 1628, 6043, 1996, 5007, 28654, 269, 6684, 267, 2502, 538, 3162, 4149, 1926, 9316, 2636, 6932, 6990, 547, 1451, 689, 835, 1776, 781, 2833, 543, 2697, 1655, 2853, 3358, 547, 741, 2189, 8658, 780, 1103, 3932, 267, 1514, 10304, 3609, 4564, 513, 1950, 543, 15491, 6389, 6353, 676, 12721, 14422, 267, 4123, 26160, 267, 543, 7915, 10462, 269, 19484, 891, 2591, 7569, 513, 13857, 1620, 540, 5817, 7811, 10850, 267, 12170, 2963, 267, 543, 4052, 9270, 269, 3414, 11826, 2079, 267, 5483, 7521, 267, 543, 13455, 7029, 267, 2705, 267, 621, 568, 2009, 547, 28433, 5499, 3435, 5827, 540, 5355, 2729, 543, 5807, 13884, 2066, 3309, 5468, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 12606, 645, 841, 8083, 2107, 645, 841, 6184, 29594, 532, 1677, 11038, 9197, 2478, 769, 24021, 29714, 476, 1220, 275, 454, 11039, 267, 621, 4667, 899, 596, 782, 700, 10976, 3633, 20153, 773, 689, 519, 1007, 4005, 540, 9399, 1626, 269, 594, 729, 1932, 9575, 909, 538, 8384, 519, 1397, 547, 1256, 1294, 713, 695, 527, 11200, 269, 1411, 782, 2907, 1336, 1200, 544, 903, 10628, 1299, 561, 329, 563, 3383, 1934, 781, 930, 533, 1731, 345, 689, 476, 1220, 273, 267, 476, 278, 628, 3446, 1032, 1504, 281, 631, 836, 1245, 267, 8751, 282, 3627, 6755, 26338, 622, 263, 476, 1220, 276, 1040, 8304, 5556, 543, 5470, 3817, 543, 6571, 2516, 540, 519, 10476, 2782, 269, 2859, 540, 519, 16458, 31586, 7662, 5808, 849, 700, 1882, 269, 901, 20220, 941, 782, 3144, 593, 476, 280, 5412, 476, 1001, 278, 267, 693, 476, 736, 281, 6349, 563, 323, 5877, 32548, 8083, 610, 32548, 540, 9450, 12985, 32250, 3270, 269, 2596, 10795, 12215, 263, 10911, 299, 338, 264, 723, 3889, 540, 2553, 588, 3042, 547, 1780, 2516, 269, 634, 2221, 540, 513, 8242, 960, 4971, 1412, 338, 6797, 538, 2212, 631, 4306, 30638, 585, 6266, 1082, 607, 1888, 543, 8515, 269, 6675, 1416, 9049, 17616, 547, 741, 14066, 12545, 543, 17108, 538, 2203, 543, 1569, 563, 12606, 19176, 2409, 267, 2472, 543, 5767, 5946, 5266, 269, 851, 4170, 538, 681, 2752, 543, 2098, 7709, 609, 5488, 1535, 11920, 2773, 543, 608, 320, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 12892, 28054, 8889, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 13188, 1315, 4317, 1299, 19884, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 5149, 476, 275, 269, 272, 281, 20963, 8381, 11529, 910, 589, 8466, 16709, 281, 29760, 593, 3943, 18842, 27494, 30166, 8132, 5071, 692, 23210, 18842, 27494, 7153, 1282, 519, 3735, 476, 1704, 628, 2540, 543, 4797, 998, 519, 4571, 268, 1240, 628, 2540, 607, 513, 16560, 6575, 3350, 5097, 1759, 538, 5333, 269, 901, 30031, 4720, 4839, 3481, 856, 689, 519, 25724, 1974, 781, 811, 14969, 21274, 2509, 14402, 267, 2011, 1512, 6272, 6353, 676, 6946, 12623, 20470, 3270, 267, 10347, 14258, 267, 543, 2250, 601, 4778, 269, 1452, 4162, 941, 849, 10630, 538, 519, 11647, 1374, 540, 519, 942, 269, 2913, 721, 5490, 4514, 883, 875, 891, 2609, 3357, 827, 543, 741, 4644, 1369, 519, 6626, 2796, 540, 1148, 1686, 780, 763, 9622, 10885, 540, 18842, 27494, 13910, 912, 305, 25497, 334, 3459, 607, 606, 3801, 547, 31111, 1996, 519, 5230, 15022, 3512, 566, 11342, 1282, 519, 25724, 5736, 269, 20551, 3323, 6220, 18305, 6273, 676, 2470, 971, 607, 5810, 267, 3762, 267, 543, 16115, 269, 1230, 9690, 569, 267, 972, 729, 3395, 1719, 538, 4457, 28028, 543, 22725, 20960, 960, 799, 3366, 547, 669, 12437, 24809, 1107, 513, 2511, 8185, 6766, 676, 7489, 15312, 4742, 2442, 269, 1306, 2096, 11496, 2968, 513, 1883, 4183, 540, 18842, 27494, 1374, 282, 621, 3177, 5714, 640, 543, 5163, 3379, 547, 519, 15340, 7915, 538, 25724, 1148, 3029, 780, 23322, 2524, 540, 3943, 18842, 27494, 30166, 8132, 5071, 912, 14813, 1663, 10642, 676, 891, 2188, 267, 3943, 18842, 27494, 11647, 9858, 2813, 17715, 4773, 10023, 5609, 6681, 3515, 267, 1769, 4070, 267, 543, 11419, 995, 14258, 269, 2368, 1455, 7592, 3769, 1384, 272, 269, 2878, 22013, 6510, 4354, 1407, 4995, 9521, 3105, 6163, 7957, 1681, 2786, 3515, 267, 18842, 27494, 17947, 5214, 5546, 6508, 689, 27386, 2609, 269, 5071, 619, 11368, 29957, 30676, 267, 16714, 267, 543, 16115, 883, 741, 13144, 267, 4758, 873, 13576, 32725, 563, 273, 269, 2878, 23409, 14716, 4995, 2423, 17067, 11308, 11647, 16941, 593, 4396, 3889, 1813, 547, 6639, 7687, 269, 1717, 267, 7760, 4847, 13492, 5443, 547, 4020, 25182, 14604, 1510, 18731, 15006, 269, 901, 8507, 538, 11617, 14402, 4773, 10771, 25894, 2864, 982, 7347, 1145, 563, 274, 269, 2878, 294, 843, 532, 543, 2107, 28485, 340, 6778, 338, 4995, 1677, 3986, 3308, 9029, 267, 7252, 941, 1419, 21243, 1210, 4154, 6978, 630, 326, 843, 532, 264, 610, 19730, 630, 768, 565, 340, 1040, 717, 843, 532, 12006, 20077, 3877, 1247, 610, 28485, 340, 3773, 29413, 31126, 563, 275, 269, 2878, 299, 5366, 595, 2313, 687, 4995, 1530, 1846, 12286, 10690, 24302, 687, 3079, 540, 2182, 267, 15081, 565, 560, 1229, 3283, 1336, 4505, 269, 1290, 3228, 8678, 15312, 607, 513, 10862, 267, 10452, 13346, 6848, 2418, 563, 276, 269, 2878, 309, 619, 12546, 4995, 3509, 18842, 27494, 11647, 3688, 6039, 12242, 5301, 269, 1280, 3236, 267, 862, 3941, 23060, 607, 4859, 4559, 543, 964, 802, 9927, 883, 19703, 7515, 269, 6270, 3818, 1922, 4233, 1275, 14018, 4130, 2713, 5624, 23163, 676, 4683, 17743, 902, 563, 277, 269, 2878, 303, 770, 1564, 543, 29079, 24484, 902, 4995, 12815, 601, 24698, 13856, 2681, 5493, 22863, 267, 13868, 4158, 18565, 1031, 5892, 269, 654, 8712, 543, 2781, 559, 902, 4749, 10268, 5714, 10367, 16079, 532, 519, 2571, 14258, 1459, 538, 29939, 902, 780, 25842, 543, 22684, 912, 8601, 922, 3355, 8560, 267, 519, 18842, 27494, 3350, 530, 534, 539, 1310, 8757, 922, 1990, 523, 603, 1472, 476, 11260, 271, 269, 31379, 25323, 621, 607, 21603, 543, 9992, 643, 565, 748, 267, 3056, 547, 513, 32134, 540, 3026, 16438, 817, 6291, 781, 16134, 543, 7787, 1143, 269, 11048, 267, 18842, 27494, 2451, 3297, 11972, 7506, 10423, 538, 1585, 3344, 540, 2413, 1374, 269, 4706, 8561, 593, 4313, 267, 10342, 267, 543, 2067, 2065, 4798, 24889, 9244, 609, 4207, 2283, 4850, 5935, 2221, 781, 8766, 626, 543, 4264, 1374, 5322, 780, 11101, 267, 3059, 5867, 24339, 520, 1125, 1569, 547, 3140, 1702, 267, 1818, 2899, 12600, 11890, 899, 5386, 22386, 3015, 547, 4896, 5461, 269, 10241, 5356, 1900, 8386, 9912, 5583, 7668, 14971, 29048, 547, 30712, 2757, 2553, 25274, 267, 5807, 15364, 1063, 2250, 543, 1459, 2853, 780, 2414, 9414, 267, 2015, 834, 24841, 11529, 12697, 2561, 2437, 5018, 693, 519, 4098, 540, 713, 8574, 269, 2755, 2029, 6908, 6050, 2504, 3157, 267, 1688, 8154, 22248, 3788, 7533, 547, 2870, 5963, 11108, 4773, 269, 1635, 16471, 2025, 8996, 7326, 609, 1007, 21943, 13418, 267, 891, 3156, 5512, 2043, 547, 7832, 2390, 741, 2189, 1412, 6229, 11529, 15322, 10086, 1454, 899, 1346, 945, 14952, 539, 693, 519, 5898, 540, 1688, 8154, 539, 11647, 5481, 3516, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 29038, 8381, 11529, 12697, 2561, 616, 1141, 3574, 32305, 1118, 4190, 543, 4052, 1919, 689, 3574, 563, 268, 1358, 2308, 2027, 4485, 899, 796, 1746, 3574, 1927, 543, 8939, 519, 1318, 4990, 540, 3574, 563, 268, 8381, 11529, 12697, 2561, 13071, 1004, 581, 19511, 543, 1118, 1919, 789, 666, 5905, 543, 946, 563, 268, 898, 779, 513, 1713, 4739, 602, 568, 1869, 4657, 543, 3478, 1256, 1732, 563, 20755, 828, 267, 609, 922, 2067, 14246, 543, 11995, 9029, 267, 814, 19832, 1004, 585, 5553, 269, 3245, 2241, 2645, 547, 16681, 11647, 267, 938, 5578, 547, 3337, 543, 9044, 713, 11684, 1570, 814, 7960, 883, 606, 1148, 1106, 1634, 607, 968, 325, 710, 22386, 1848, 769, 713, 4062, 267, 649, 3580, 3460, 883, 519, 7706, 540, 5386, 22386, 267, 3695, 922, 1686, 267, 2409, 267, 543, 519, 9434, 9059, 540, 13167, 4487, 995, 4773, 689, 16025, 563, 1692, 22549, 3733, 8381, 11529, 17714, 29035, 454, 2026, 513, 1762, 1126, 267, 594, 740, 1819, 8384, 1250, 6264, 11985, 538, 1010, 13186, 269, 1261, 1185, 713, 6909, 13007, 585, 13167, 3574, 883, 32154, 11647, 4773, 267, 543, 594, 729, 19039, 569, 27086, 676, 621, 269, 634, 9329, 540, 519, 3574, 543, 18222, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 26353, 1315, 3778, 1315, 3864, 1315, 25724, 1299, 18842, 27494, 1315, 3943, 18842, 27494, 30166, 8132, 5071, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 273, 2600, 269, 1547, 4317, 4027, 814, 1044, 13385, 1932, 281, 519, 2817, 4317, 8232, 8750, 630, 301, 7704, 293, 1070, 26288, 779, 4102, 7694, 2861, 8502, 540, 1514, 2533, 267, 4988, 1152, 476, 1789, 2600, 540, 519, 4074, 3196, 543, 606, 7694, 2508, 547, 2149, 1346, 945, 6336, 741, 6009, 610, 616, 8572, 547, 1265, 6009, 568, 2943, 547, 581, 2813, 563, 14807, 1049, 5823, 8813, 2110, 454, 19602, 267, 519, 6043, 540, 519, 2069, 1062, 1185, 1044, 1279, 15176, 676, 3908, 1857, 2200, 14305, 267, 4398, 267, 543, 2359, 269, 681, 4474, 1063, 476, 272, 269, 278, 2600, 543, 476, 273, 269, 279, 2600, 540, 12654, 2094, 476, 1960, 273, 267, 26288, 779, 18820, 593, 2069, 814, 15468, 2110, 540, 519, 5227, 5934, 540, 2185, 2600, 547, 3670, 2600, 663, 814, 1044, 2539, 982, 519, 5993, 3328, 540, 1647, 13867, 2477, 540, 2185, 2600, 267, 1256, 607, 22359, 3150, 1857, 3506, 13986, 547, 10110, 7366, 540, 5215, 26219, 15076, 2094, 476, 1001, 272, 563, 2690, 5756, 267, 10820, 723, 1044, 12946, 513, 2362, 2883, 11411, 585, 2069, 982, 519, 2229, 269, 1306, 513, 1267, 267, 2094, 519, 6433, 5734, 543, 607, 10820, 17388, 547, 3382, 1153, 12375, 267, 6749, 13050, 3928, 2799, 693, 606, 24034, 2557, 282, 6167, 32019, 630, 1708, 273, 264, 4080, 602, 513, 3791, 540, 1762, 1004, 11074, 741, 2069, 267, 1247, 519, 14889, 302, 4080, 602, 1152, 476, 2412, 269, 275, 2600, 1851, 1346, 9907, 476, 276, 1700, 2190, 13984, 1153, 1282, 519, 476, 1708, 271, 268, 2641, 1153, 1032, 269, 898, 729, 849, 6059, 602, 476, 4649, 267, 1822, 1053, 6410, 689, 4357, 547, 1857, 3506, 538, 476, 1708, 271, 268, 2641, 4805, 267, 3976, 4946, 811, 2604, 593, 519, 896, 9113, 712, 1027, 1857, 1153, 1062, 563, 300, 8221, 4464, 281, 10298, 1299, 7399, 454, 2690, 519, 5274, 4886, 3510, 547, 581, 10710, 267, 621, 2115, 811, 3007, 454, 763, 25314, 534, 1771, 540, 1857, 12602, 543, 6608, 685, 3668, 540, 3922, 1436, 540, 5274, 4886, 585, 5756, 12261, 883, 513, 10690, 7681, 1063, 22257, 4507, 267, 1857, 1514, 7836, 267, 543, 5274, 4886, 538, 26288, 269, 901, 729, 2523, 7805, 1282, 519, 2022, 2275, 2753, 2112, 16646, 267, 950, 519, 1514, 543, 1480, 2460, 540, 1646, 4607, 13385, 3007, 563, 21156, 267, 12550, 11296, 32278, 4646, 519, 4493, 540, 519, 2229, 779, 556, 31141, 4507, 282, 543, 519, 12374, 540, 2804, 2208, 8959, 547, 8945, 548, 1524, 547, 519, 2489, 2551, 267, 1651, 1746, 513, 10770, 21376, 3892, 540, 3255, 269, 7043, 29280, 10714, 540, 5274, 4886, 7707, 2989, 519, 29097, 540, 519, 1699, 6433, 269, 4706, 4611, 796, 629, 730, 21324, 19752, 602, 3255, 543, 5079, 3068, 606, 2479, 811, 19979, 2104, 538, 519, 2197, 267, 1256, 1498, 789, 616, 1898, 585, 1004, 538, 26288, 547, 6330, 519, 6433, 563, 2690, 519, 5274, 4886, 3510, 547, 581, 10710, 267, 606, 12600, 1445, 593, 26288, 779, 2804, 6051, 543, 2208, 786, 711, 581, 2614, 282, 547, 4628, 17908, 519, 12374, 540, 602, 2208, 267, 621, 2115, 547, 581, 8362, 9859, 2509, 5274, 4886, 269, 19793, 1324, 713, 786, 2154, 519, 22359, 3150, 2229, 547, 2232, 15424, 267, 12250, 267, 543, 7293, 10616, 602, 723, 13840, 11658, 713, 3390, 563, 1607, 786, 1331, 13326, 2804, 543, 1514, 7836, 538, 922, 6578, 998, 12799, 782, 20814, 18820, 2509, 2069, 267, 1072, 267, 543, 519, 4074, 2344, 267, 543, 1128, 23082, 811, 3608, 4058, 543, 2359, 585, 891, 9922, 269, 1280, 2208, 547, 14377, 883, 513, 1175, 3892, 540, 3255, 543, 22624, 267, 2229, 14422, 786, 991, 547, 581, 1964, 19099, 563, 2108, 10144, 616, 519, 1483, 5763, 540, 513, 4182, 269, 634, 2596, 6662, 540, 1646, 568, 547, 1711, 606, 7175, 1604, 585, 1004, 547, 2972, 1279, 267, 2635, 543, 3860, 2729, 269, 901, 949, 2408, 547, 581, 513, 2241, 5168, 269, 1809, 621, 568, 1419, 16618, 31218, 1848, 267, 5206, 10067, 321, 889, 12804, 12794, 336, 267, 513, 9031, 328, 30168, 543, 22082, 538, 3384, 519, 1523, 540, 1480, 1646, 563, 8867, 3316, 517, 779, 2229, 2115, 547, 3314, 602, 26288, 779, 1483, 5763, 568, 538, 922, 1004, 267, 543, 5274, 4886, 1058, 581, 4547, 547, 519, 21282, 540, 782, 6051, 4566, 269, 0, 12179, 821, 666, 4444, 513, 1906, 5820, 543, 1246, 513, 11600, 267, 855, 538, 1931, 547, 798, 602, 267, 596, 1590, 917, 519, 9238, 540, 5986, 269, 6875, 713, 7688, 543, 3313, 2436, 610, 711, 596, 723, 27058, 519, 9238, 540, 5986, 256, 2052, 596, 2697, 713, 4122, 1031, 5986, 6293, 286, 2051, 6387, 269, 12815, 320, 22165, 615, 269, 30558, 269, 17186, 518, 269, 1879, 5986, 593, 513, 23041, 9008, 267, 875, 666, 596, 2995, 950, 519, 1236, 32576, 568, 3905, 2614, 547, 1039, 3282, 286, 25291, 519, 1236, 32576, 547, 2995, 269, 898, 781, 4712, 950, 513, 1906, 12772, 540, 1216, 5612, 18493, 622, 269, 2991, 621, 781, 1044, 593, 585, 476, 276, 3764, 269, 898, 781, 4712, 950, 513, 29537, 540, 6070, 4744, 11510, 269, 5272, 27697, 568, 7255, 827, 1426, 3106, 269, 6904, 1826, 540, 5969, 4604, 1655, 30417, 3771, 321, 1681, 4551, 286, 8381, 269, 21311, 269, 6215, 622, 269, 22388, 25568, 269, 1879, 5986, 5779, 267, 1082, 10346, 2154, 519, 3434, 547, 13035, 1125, 519, 5779, 269, 1548, 1281, 13035, 1125, 1611, 286, 9941, 569, 27012, 519, 5779, 1310, 621, 781, 11273, 269, 7327, 532, 13035, 569, 547, 519, 5779, 1354, 5986, 269, 1677, 11013, 610, 533, 15127, 519, 5779, 1354, 5986, 269, 1677, 6023, 519, 5779, 13035, 569, 2429, 519, 3003, 5986, 1184, 269, 1548, 798, 596, 1039, 547, 14495, 18437, 1216, 547, 2333, 1312, 519, 8137, 543, 519, 14495, 1448, 540, 519, 1216, 286, 4258, 3150, 269, 14986, 4424, 269, 17865, 269, 3212, 3899, 269, 5272, 27697, 6487, 972, 616, 1082, 2081, 547, 14299, 5388, 269, 10576, 519, 834, 19878, 1329, 928, 12338, 9899, 1547, 1547, 1547, 2052, 596, 2697, 713, 5986, 6293, 286, 654, 663, 269, 1975, 520, 3121, 269, 28247, 548, 269, 1733, 7416, 269, 4208, 568, 621, 1271, 547, 1577, 5779, 1796, 585, 476, 1428, 268, 1789, 3764, 1354, 5969, 286, 1677, 1450, 519, 5779, 547, 3136, 5986, 269, 1677, 1450, 519, 5779, 781, 23238, 547, 23799, 25572, 269, 1677, 2057, 8781, 1250, 3946, 269, 1677, 2285, 8885, 942, 547, 9096, 5986, 519, 1964, 540, 1250, 7594, 269, 1411, 1058, 2759, 5779, 609, 519, 10286, 269, 6936, 269, 8771, 269, 1548, 1281, 519, 834, 2775, 257, 538, 8752, 29106, 13813, 3277, 547, 286, 13379, 269, 570, 4292, 269, 2836, 12929, 1293, 269, 634, 2179, 602, 1058, 581, 1031, 269, 0, 1103, 513, 1158, 602, 568, 5051, 20437, 267, 519, 2702, 547, 581, 3222, 540, 835, 781, 10450, 543, 1174, 1761, 6937, 568, 711, 1175, 513, 5578, 267, 855, 513, 13766, 269, 901, 568, 1141, 32638, 4656, 2501, 883, 1404, 269, 898, 568, 513, 1883, 5057, 540, 1582, 12413, 1619, 267, 3850, 2043, 547, 581, 5423, 585, 6397, 3871, 269, 1809, 1018, 4010, 568, 32638, 4656, 267, 543, 875, 666, 621, 581, 4294, 538, 519, 2796, 540, 17821, 547, 2961, 787, 630, 299, 12839, 264, 2866, 888, 763, 10020, 540, 11576, 800, 32185, 454, 306, 15856, 1049, 4656, 5956, 609, 10444, 8226, 269, 898, 568, 1759, 593, 707, 2702, 547, 946, 707, 12823, 540, 7487, 267, 6217, 267, 1159, 2454, 267, 512, 8463, 267, 543, 4743, 5905, 269, 2659, 12823, 991, 547, 13498, 1018, 781, 8345, 1472, 596, 267, 3850, 596, 547, 5531, 2629, 1344, 827, 707, 1604, 563, 763, 476, 275, 853, 1137, 540, 32163, 1049, 17607, 454, 306, 15856, 1049, 4656, 666, 581, 7745, 1524, 883, 2185, 5933, 912, 268, 32185, 281, 634, 1101, 1900, 568, 547, 13498, 519, 2609, 538, 519, 1604, 269, 901, 3322, 1210, 707, 12823, 547, 5531, 1344, 563, 268, 24366, 281, 634, 1985, 1900, 568, 547, 1174, 519, 3510, 1759, 593, 519, 1344, 10356, 563, 268, 5741, 542, 281, 901, 3322, 8159, 875, 519, 3510, 786, 11457, 1759, 593, 519, 1699, 4567, 543, 3466, 563, 268, 17423, 281, 7053, 267, 596, 1118, 3664, 1759, 593, 707, 1620, 543, 16879, 540, 519, 3510, 563, 763, 476, 276, 15689, 540, 32163, 1049, 17607, 454, 2467, 616, 2947, 1883, 2609, 540, 32638, 4656, 912, 268, 7025, 2480, 8911, 281, 17115, 17655, 707, 1604, 585, 1761, 6937, 563, 268, 11576, 800, 32185, 281, 4635, 782, 707, 12823, 547, 5531, 1344, 563, 268, 23063, 6672, 24366, 281, 4197, 1018, 519, 10356, 1344, 1797, 563, 268, 21784, 10495, 281, 17291, 1761, 6937, 1759, 593, 519, 1344, 563, 268, 17423, 10435, 281, 10435, 5483, 3664, 1759, 593, 707, 3463, 4879, 563, 20007, 2294, 543, 11150, 454, 18719, 1324, 32638, 4656, 3322, 2834, 2259, 543, 6857, 4674, 269, 9828, 1331, 2834, 2825, 17655, 267, 8026, 11009, 267, 543, 2502, 538, 5751, 602, 3986, 10444, 8226, 269, 898, 849, 3322, 1565, 547, 3972, 707, 26756, 269, 10705, 267, 938, 32436, 2247, 26717, 909, 593, 6937, 1354, 938, 6857, 2247, 1281, 563, 14300, 540, 9861, 23063, 6672, 958, 589, 2264, 454, 18455, 3510, 958, 3222, 666, 581, 607, 2241, 607, 711, 6005, 513, 1286, 602, 814, 1044, 1739, 596, 585, 1896, 7161, 267, 610, 513, 1268, 945, 4667, 856, 540, 1747, 538, 513, 1978, 1604, 269, 898, 1223, 849, 4125, 711, 6005, 3877, 971, 607, 606, 796, 3430, 2105, 9126, 538, 513, 1857, 1747, 267, 610, 513, 7450, 602, 568, 513, 21186, 950, 621, 1058, 581, 6806, 563, 32575, 15783, 21784, 338, 454, 32575, 1761, 6937, 568, 513, 2629, 2460, 540, 32638, 4656, 269, 901, 3322, 9301, 32623, 7949, 2623, 267, 856, 6361, 268, 2897, 7802, 267, 610, 4376, 602, 4667, 8966, 610, 856, 540, 519, 8723, 269, 898, 781, 1271, 547, 4063, 602, 711, 3388, 8966, 568, 513, 3463, 267, 855, 621, 781, 4502, 9878, 3007, 547, 563, 6944, 13764, 519, 23063, 6672, 454, 5629, 513, 1761, 3463, 568, 4857, 267, 519, 1985, 1900, 568, 547, 1852, 519, 3510, 269, 901, 1223, 1611, 2870, 3845, 1063, 3054, 543, 519, 1761, 3463, 267, 10332, 532, 8128, 267, 610, 8600, 547, 9718, 3054, 952, 2556, 269, 634, 3804, 568, 547, 1683, 3054, 609, 2629, 942, 585, 7041, 543, 5114, 538, 1582, 12413, 1619, 7653, 563, 303, 24411, 10241, 540, 32163, 1049, 17607, 538, 8682, 5937, 1030, 1619, 454, 306, 15856, 1049, 4656, 568, 711, 1175, 827, 7114, 6937, 267, 855, 849, 827, 6616, 875, 547, 2746, 14013, 269, 1280, 1383, 267, 952, 596, 5469, 2576, 1739, 596, 267, 513, 4052, 3498, 540, 32638, 4656, 1223, 581, 547, 3444, 519, 8265, 610, 4283, 513, 20651, 2679, 267, 2864, 982, 3056, 519, 1761, 3463, 547, 513, 694, 7672, 1858, 563, 13706, 519, 2013, 540, 513, 4807, 945, 8068, 513, 812, 1739, 1200, 1247, 1352, 729, 6972, 1753, 3735, 693, 3781, 269, 1635, 1373, 3222, 540, 1200, 10450, 267, 1352, 729, 2111, 547, 5431, 519, 1761, 3463, 269, 2701, 3533, 9411, 513, 7404, 4558, 543, 10332, 539, 519, 4558, 24010, 267, 945, 1572, 519, 7128, 269, 4173, 32638, 4656, 4847, 1200, 547, 2057, 513, 5732, 5906, 3510, 563, 8139, 15465, 4437, 1162, 454, 290, 4321, 12886, 666, 1860, 938, 32638, 4656, 269, 1280, 1383, 267, 21533, 9186, 666, 1291, 721, 547, 4612, 3871, 1759, 593, 938, 840, 25365, 4978, 267, 5732, 4929, 721, 547, 26777, 1483, 6937, 269, 898, 781, 1271, 547, 11760, 891, 12886, 543, 11441, 547, 7413, 741, 1764, 547, 2327, 4977, 10526, 563, 293, 1515, 25960, 618, 543, 21784, 10495, 454, 4407, 621, 781, 1271, 547, 581, 21713, 267, 621, 781, 8449, 1271, 547, 2057, 15490, 569, 13389, 610, 3765, 9080, 3101, 2043, 1759, 593, 23079, 269, 5384, 543, 5571, 8343, 616, 1898, 538, 23243, 9758, 6937, 689, 9228, 3283, 269, 898, 781, 2629, 547, 2057, 936, 2102, 1968, 1944, 610, 25409, 5316, 5024, 4644, 547, 1978, 5615, 950, 12570, 19035, 2623, 563, 18455, 22895, 958, 16721, 1563, 585, 700, 12839, 454, 1103, 519, 2796, 540, 17821, 547, 2961, 787, 630, 299, 12839, 264, 2866, 267, 32638, 4656, 568, 513, 4105, 5578, 269, 898, 781, 711, 1175, 827, 6616, 875, 547, 946, 513, 3595, 1301, 282, 621, 781, 849, 827, 1620, 950, 543, 875, 547, 2746, 547, 1761, 6937, 269, 9861, 15508, 5423, 3322, 1620, 519, 5539, 602, 2501, 609, 8876, 513, 3595, 1301, 543, 1373, 4712, 547, 1118, 8237, 29364, 3664, 950, 2556, 563, 290, 1068, 1881, 23063, 6672, 17607, 28154, 538, 700, 12839, 9751, 454, 6826, 5765 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 288, 476, 6858, 4458, 6040, 16444, 700, 1678, 534, 812, 814, 1500, 2564, 1686, 676, 2348, 519, 1158, 779, 4102, 8459, 6149, 6569, 689, 1010, 1560, 269, 634, 6149, 26693, 606, 27314, 476, 273, 269, 275, 13532, 630, 276, 269, 274, 6550, 264, 543, 729, 519, 2450, 540, 513, 18812, 26258, 563, 763, 812, 267, 4171, 3961, 814, 711, 1044, 7000, 267, 1185, 1044, 7680, 4049, 1928, 538, 1010, 1394, 543, 17737, 585, 1896, 3275, 269, 2991, 5275, 2564, 3007, 267, 7189, 5340, 513, 11632, 11571, 602, 7000, 519, 7372, 6149, 563, 1103, 513, 7415, 9028, 540, 2564, 6791, 267, 519, 6149, 729, 6569, 998, 513, 30194, 12362, 6391, 269, 589, 1507, 1651, 1707, 729, 1500, 538, 519, 812, 779, 17737, 543, 519, 6149, 729, 7745, 909, 543, 6569, 1210, 513, 8955, 269, 634, 812, 568, 1631, 23232, 1134, 543, 568, 4397, 547, 1118, 513, 2407, 6051, 563, 1607, 2594, 31771, 8459, 6149, 20546, 525, 519, 3105, 2594, 4371, 676, 513, 812, 538, 3127, 267, 945, 1185, 513, 476, 272, 269, 280, 11304, 630, 275, 269, 273, 11013, 264, 6149, 6569, 538, 476, 1001, 280, 563, 298, 573, 2284, 10007, 616, 2182, 12074, 602, 1106, 538, 519, 14401, 543, 666, 581, 3361, 676, 1585, 2188, 971, 607, 18024, 267, 8377, 267, 543, 1164, 1973, 2604, 269, 2755, 1034, 8459, 10007, 616, 1507, 543, 1780, 998, 519, 17256, 8778, 1510, 4929, 2042, 267, 3677, 10007, 666, 3625, 519, 17256, 8778, 543, 2014, 4049, 1928, 563, 2252, 596, 1995, 1022, 1928, 538, 707, 1394, 610, 17737, 610, 5469, 1973, 538, 707, 10729, 267, 621, 568, 1271, 547, 1294, 513, 4387, 1318, 2476, 269, 26640, 10007, 666, 581, 3978, 855, 616, 2356, 1521, 762, 563, 2414, 948, 2061, 8459, 10007, 267, 1934, 616, 930, 4388, 912, 268, 27276, 7899, 540, 12862, 267, 2523, 1216, 454, 268, 16202, 513, 2635, 2732, 1970, 538, 9770, 543, 1164, 538, 11379, 454, 268, 19321, 513, 2635, 2597, 454, 268, 11644, 5781, 454, 268, 3680, 2921, 7050, 5666, 540, 6171, 595, 454, 268, 1403, 596, 723, 513, 1920, 1686, 540, 8459, 10007, 267, 2911, 547, 707, 4387, 827, 2081, 547, 2569, 707, 1981, 454, 3528, 1739, 891, 4388, 543, 5275, 2564, 3007, 952, 2877, 267, 596, 666, 948, 2569, 707, 1981, 540, 3384, 8459, 10007, 269, 0, 11947, 2604, 2281, 585, 1312, 1507, 268, 4120, 23377, 22502, 543, 1769, 22502, 2090, 723, 1044, 2966, 543, 9112, 547, 8495, 5123, 13289, 540, 1950, 15559, 269, 634, 2281, 666, 581, 1031, 585, 12249, 24025, 267, 12249, 3435, 267, 5277, 23399, 540, 1507, 2173, 26163, 267, 3092, 269, 16242, 909, 547, 476, 1220, 12463, 320, 666, 581, 4294, 547, 519, 2281, 998, 513, 2046, 584, 1944, 5277, 269, 634, 3732, 568, 9674, 689, 519, 2046, 584, 1944, 5277, 676, 513, 1863, 25059, 610, 606, 744, 268, 2590, 269, 769, 1840, 267, 942, 9113, 9407, 7403, 540, 5123, 5912, 3157, 13251, 676, 513, 2604, 6749, 666, 581, 5645, 856, 1210, 519, 2281, 269, 634, 2604, 568, 7123, 1369, 476, 271, 269, 276, 12463, 320, 585, 519, 8653, 540, 1896, 3108, 269, 18323, 666, 581, 6417, 1063, 476, 24129, 543, 476, 276, 2537, 918, 609, 606, 6111, 540, 13008, 476, 271, 269, 22650, 918, 1282, 519, 6482, 942, 540, 476, 1789, 3764, 269, 769, 713, 1957, 267, 649, 1397, 1079, 16861, 8097, 2164, 607, 1806, 540, 3156, 540, 519, 2281, 281, 630, 328, 264, 513, 2604, 1198, 593, 519, 3765, 322, 2225, 543, 1931, 16162, 4650, 5912, 2837, 540, 513, 546, 756, 6674, 2941, 8432, 1067, 543, 922, 2890, 874, 848, 9668, 1184, 676, 513, 2604, 7914, 267, 543, 630, 4512, 264, 513, 2604, 13251, 2565, 7613, 538, 513, 1614, 16327, 9426, 2890, 655, 13955, 1062, 563, 268, 13216, 700, 1172, 1749, 454, 268, 4400, 16242, 8426, 454, 268, 8752, 2480, 30568, 454, 268, 9540, 5025, 978, 548, 3026, 583, 1258, 2480, 30568, 0, 1432, 3657, 21846, 594, 7968, 22020, 585, 476, 280, 628, 6103, 1107, 5403, 6953, 662, 888, 1432, 568, 519, 21846, 594, 7968, 888, 9558, 819, 7896, 543, 12020, 3459, 607, 835, 540, 1082, 2093, 585, 2810, 519, 2298, 540, 1272, 585, 1762, 4079, 609, 9124, 269, 634, 3483, 540, 519, 21846, 594, 7968, 568, 547, 2015, 519, 2022, 16149, 776, 3853, 543, 21846, 7896, 2877, 585, 519, 2875, 269, 5403, 29364, 776, 3853, 616, 22905, 4093, 602, 2049, 1310, 519, 2875, 3762, 519, 1153, 1062, 269, 7316, 798, 596, 1294, 3054, 270, 20365, 2875, 538, 476, 276, 1296, 286, 476, 1015, 1296, 286, 634, 21846, 594, 7968, 568, 513, 31387, 547, 948, 519, 1053, 1205, 1141, 789, 1616, 547, 581, 543, 1018, 789, 1616, 741, 1272, 547, 1413, 899, 950, 789, 4734, 1857, 2069, 269, 769, 741, 21846, 594, 7968, 1544, 267, 789, 666, 912, 268, 5590, 22905, 3853, 585, 1310, 1164, 1153, 454, 268, 5530, 2127, 538, 1164, 1153, 9706, 739, 30041, 602, 948, 596, 2743, 1346, 3853, 543, 2115, 454, 1432, 6168, 17644, 888, 7883, 1023, 1058, 581, 5059, 593, 5355, 519, 4081, 543, 6198, 5759, 540, 519, 2875, 609, 513, 9659, 269, 5403, 17469, 2238, 1522, 1331, 281, 2022, 29364, 776, 2069, 630, 10175, 25367, 2069, 1070, 7471, 7694, 630, 10175, 6462, 7694, 1070, 11173, 606, 2937, 2069, 267, 2937, 2533, 267, 4830, 2713, 267, 543, 2146, 7589, 563, 9288, 553, 9092, 2022, 16149, 776, 3853, 616, 4093, 602, 2049, 1310, 519, 1268, 814, 2451, 519, 1857, 1153, 1062, 630, 12898, 1164, 1153, 610, 968, 14006, 30041, 26158, 634, 3853, 2995, 1018, 519, 2875, 786, 798, 630, 6343, 789, 786, 581, 19801, 538, 267, 11504, 267, 2324, 267, 3092, 8094, 268, 17644, 666, 581, 6626, 547, 2253, 609, 543, 1287, 15568, 543, 8242, 609, 1142, 5993, 594, 7968, 607, 519, 2875, 22264, 563, 268, 6884, 3853, 538, 2069, 543, 7694, 666, 581, 5916, 563, 10303, 7694, 568, 513, 3982, 2534, 689, 519, 2127, 1644, 547, 2866, 543, 2069, 267, 1142, 2875, 779, 594, 7968, 1590, 1331, 513, 5094, 2022, 16149, 776, 3804, 538, 519, 1858, 540, 7694, 454, 268, 6884, 2789, 3853, 616, 2877, 538, 835, 1858, 269, 634, 1271, 3364, 568, 602, 621, 568, 25191, 543, 10742, 519, 2875, 779, 2115, 563, 1432, 616, 21846, 7896, 888, 9558, 819, 7896, 538, 2069, 4016, 547, 513, 20291, 1305, 540, 2238, 602, 519, 594, 7968, 2319, 267, 2059, 609, 3544, 8041, 267, 519, 1153, 267, 543, 596, 1700, 1492, 1582, 14194, 341, 11229, 1700, 718, 946, 547, 960, 2509, 513, 1455, 1305, 540, 3853, 563, 763, 18096, 3557, 8274, 540, 4065, 630, 4785, 23813, 264, 2829, 602, 21846, 7896, 1590, 581, 8659, 1369, 519, 21846, 594, 7968, 267, 543, 616, 13988, 609, 1142, 2022, 16149, 776, 3804, 269, 634, 21846, 7896, 2049, 1282, 519, 1699, 594, 7968, 1032, 543, 616, 2966, 547, 1489, 513, 2875, 538, 3384, 741, 2022, 16149, 776, 3853, 2390, 608, 1746, 1164, 1153, 563, 2252, 3617, 267, 513, 2022, 16149, 776, 3804, 1058, 581, 3769, 585, 7694, 267, 2069, 270, 10177, 1456, 267, 543, 4830, 2713, 1983, 267, 2059, 609, 519, 5912, 2533, 547, 1489, 1346, 3853, 563, 268, 25477, 281, 14847, 1438, 7471, 7694, 267, 1519, 281, 6462, 7694, 267, 16419, 7694, 267, 4108, 3028, 267, 1582, 15041, 7877, 267, 610, 513, 1920, 1870, 563, 268, 4065, 270, 32086, 281, 9050, 4458, 2852, 270, 684, 1751, 267, 2930, 2852, 267, 1079, 4458, 2852, 267, 4108, 267, 5939, 5692, 267, 25367, 2866, 1982, 267, 29095, 1222, 267, 22631, 1222, 630, 335, 4660, 610, 10002, 4660, 1070, 543, 593, 7308, 18191, 984, 2866, 563, 268, 18763, 12389, 10341, 281, 11545, 2713, 1983, 267, 2883, 267, 6283, 267, 18883, 270, 548, 15370, 267, 4509, 519, 1753, 267, 2146, 7589, 267, 1582, 14194, 22106, 2329, 267, 1582, 24148, 267, 1514, 1983, 267, 14375, 1983, 267, 543, 4217, 633, 2029, 2866, 563, 1692, 3657, 15382, 11286, 17644, 13242, 538, 519, 594, 7968, 888, 8794, 519, 15382, 11286, 3804, 5943, 538, 594, 7968, 338, 2337, 2327, 602, 1053, 4309, 3617, 543, 2500, 1489, 3358, 547, 741, 1367, 2115, 269, 898, 849, 2488, 513, 4493, 585, 9477, 3356, 543, 14577, 519, 3872, 1544, 607, 2556, 547, 948, 519, 2875, 8011, 27268, 543, 1646, 958, 269, 15382, 11286, 3853, 948, 1118, 2386, 602, 519, 2875, 779, 3872, 6859, 616, 2312, 267, 24276, 267, 543, 22905, 269, 3371, 779, 875, 15382, 11286, 3853, 616, 4294, 538, 606, 594, 7968, 912, 11854, 6900, 268, 769, 519, 594, 7968, 267, 3853, 1058, 581, 2706, 2312, 827, 1018, 519, 2875, 2115, 547, 798, 269, 1280, 1383, 267, 3079, 540, 513, 22394, 3804, 899, 968, 574, 2889, 557, 2542, 1983, 2223, 513, 1808, 3804, 1522, 581, 968, 1348, 16965, 513, 5037, 689, 513, 3446, 7400, 1433, 1510, 588, 22824, 593, 811, 982, 1079, 1913, 3034, 9288, 553, 9092, 268, 763, 3804, 1058, 723, 2962, 3268, 602, 596, 666, 1665, 1055, 950, 2944, 269, 594, 7968, 3853, 1058, 581, 1919, 649, 666, 1293, 610, 2268, 547, 1294, 875, 1134, 519, 2875, 568, 3257, 269, 901, 1797, 4259, 909, 1808, 14541, 12201, 547, 917, 952, 519, 3804, 568, 6913, 269, 1280, 3236, 267, 513, 22905, 3804, 1223, 581, 968, 322, 8091, 569, 4194, 2979, 2042, 5473, 1840, 543, 12408, 540, 1079, 18251, 2338, 609, 476, 3199, 260, 6111, 3034, 288, 2151, 15344, 268, 634, 3804, 1058, 581, 513, 3804, 602, 519, 2875, 666, 3035, 269, 898, 1058, 581, 1945, 602, 24864, 519, 2875, 779, 6788, 267, 855, 568, 849, 1945, 602, 519, 2875, 568, 5827, 540, 3257, 269, 1280, 1383, 267, 4259, 513, 3804, 602, 513, 2875, 609, 4049, 27577, 786, 1224, 693, 513, 2852, 1377, 1369, 513, 1032, 1522, 711, 581, 24276, 563, 18600, 2065, 270, 3725, 10589, 268, 17644, 538, 519, 594, 7968, 1058, 6474, 1018, 519, 2875, 2731, 2115, 543, 5447, 609, 3356, 538, 519, 5871, 11759, 4441, 269, 634, 3853, 1058, 1118, 2631, 585, 519, 2875, 779, 1880, 2591, 543, 1565, 2511, 269, 1280, 3236, 267, 513, 3804, 13389, 6454, 538, 4633, 13994, 1637, 1522, 581, 4143, 585, 513, 2875, 609, 4633, 7965, 563, 11742, 21940, 268, 5272, 3804, 538, 519, 594, 7968, 1058, 723, 513, 942, 3970, 585, 950, 621, 1058, 581, 2944, 269, 901, 2337, 2327, 1919, 1832, 3001, 543, 602, 3356, 666, 581, 2938, 269, 1280, 3236, 267, 513, 3804, 1223, 581, 968, 31095, 513, 17396, 5037, 609, 1697, 8239, 543, 18685, 1369, 3670, 3275, 3034, 22923, 6441, 539, 594, 7968, 20821, 902, 454, 296, 7968, 11401, 616, 1390, 2259, 585, 519, 2104, 267, 543, 1683, 3255, 585, 8026, 5718, 269, 1284, 782, 1451, 998, 2259, 269, 5272, 4960, 606, 1367, 4991, 547, 581, 3238, 538, 5717, 827, 741, 1272, 543, 2104, 3947, 873, 2259, 267, 865, 789, 616, 2111, 547, 1463, 811, 543, 811, 540, 519, 7391, 3823, 741, 2104, 269, 634, 1153, 666, 2708, 513, 2875, 779, 1582, 14194, 22106, 2329, 2157, 543, 2285, 873, 8458, 547, 2259, 267, 3450, 873, 875, 547, 12167, 585, 2933, 269, 634, 2319, 779, 2816, 568, 547, 1489, 1053, 543, 741, 5075, 540, 1272, 1310, 1153, 269, 3371, 616, 930, 2093, 547, 1489, 513, 2875, 538, 8600, 543, 3056, 741, 1378, 594, 7968, 338, 912, 268, 5269, 513, 16968, 2676, 268, 8073, 513, 15942, 6011, 267, 610, 454, 268, 7046, 519, 5870, 676, 7234, 2933, 454, 22137, 723, 3254, 602, 2875, 30928, 594, 7968, 338, 616, 2404, 609, 912, 268, 14451, 4081, 9740, 454, 268, 14568, 2792, 1983, 454, 268, 16200, 518, 8404, 585, 1053, 609, 9124, 547, 3035, 454, 268, 4841, 945, 8362, 7119, 1282, 741, 594, 7968, 11401, 616, 811, 2693, 547, 581, 6964, 543, 5924, 19801, 538, 2362, 2069, 1310, 22692, 454, 763, 3804, 568, 585, 1053, 267, 3610, 267, 543, 3237, 547, 2097, 909, 609, 15931, 2081, 585, 1053, 547, 1451, 827, 2933, 543, 1018, 789, 991, 269, 14190, 1053, 547, 1118, 741, 1378, 3853, 543, 948, 873, 4137, 856, 875, 547, 3914, 873, 269, 11559, 6107, 547, 7119, 267, 543, 7668, 891, 1053, 547, 946, 741, 5639, 267, 8726, 602, 5639, 5654, 899, 269, 14190, 873, 547, 1118, 3664, 543, 9073, 267, 543, 3136, 547, 723, 1164, 6788, 585, 873, 563, 2690, 811, 1344, 593, 21846, 594, 7968, 338, 267, 5403, 6953, 662, 267, 19573, 566, 18169, 267, 9477, 17099, 543, 519, 22759, 540, 5049, 267, 519, 10678, 540, 674, 6993, 10422, 9950, 1421, 543, 865, 1454, 811, 267, 3277, 547, 519, 772, 15425, 779, 21846, 2160, 15272, 4518, 1504, 267, 519, 962, 21822 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 693, 8897, 538, 513, 1360, 1114, 1259, 269, 898, 729, 5363, 547, 18552, 782, 519, 12636, 547, 3142, 811, 4656, 547, 938, 14302, 269, 8729, 2336, 27094, 519, 4388, 256, 898, 779, 4277, 547, 1589, 875, 938, 4057, 14302, 666, 711, 1152, 581, 6766, 676, 938, 1378, 6208, 267, 855, 3622, 875, 547, 616, 16789, 569, 8036, 593, 1018, 968, 27393, 892, 14302, 568, 9277, 547, 581, 269, 594, 6557, 8049, 547, 2263, 811, 827, 713, 11759, 613, 748, 3440, 543, 1018, 649, 666, 798, 609, 621, 269, 8729, 2336, 16591, 7555, 14302, 666, 2061, 721, 689, 865, 1454, 5312, 1928, 267, 1775, 723, 4121, 547, 1831, 5432, 609, 22403, 2497, 267, 1519, 12636, 267, 23856, 267, 543, 1850, 267, 676, 1560, 12570, 824, 4703, 543, 1250, 1378, 1560, 267, 1775, 993, 1454, 811, 3222, 540, 875, 1775, 993, 7555, 543, 729, 2111, 547, 2953, 8885, 563, 12552, 585, 519, 4388, 256, 594, 666, 1406, 7227, 547, 1205, 513, 11759, 613, 748, 3440, 543, 2119, 891, 5751, 269, 594, 6557, 538, 962, 307, 308, 1377, 476, 272, 2866, 1631, 269, 594, 4076, 1427, 11712, 1250, 14302, 936, 519, 2063, 1906, 1296, 1310, 513, 6689, 607, 513, 27590, 770, 269, 898, 814, 5280, 30140, 267, 855, 594, 723, 811, 547, 979, 269, 594, 6557, 3168, 4464, 547, 4946, 707, 5751, 547, 1250, 6296, 547, 1294, 952, 594, 666, 948, 1863, 909, 1250, 1647, 1394, 269, 8729, 1586, 2336, 12552, 585, 519, 12576, 827, 519, 10775, 21799, 543, 5247, 25714, 12636, 18552, 609, 519, 11759, 613, 748, 3440, 543, 519, 948, 609, 7244, 269, 589, 9543, 1390, 8082, 5305, 543, 2306, 811, 4055, 585, 519, 7362, 585, 4896, 945, 22939, 1932, 1454, 942, 1793, 22981, 936, 513, 2780, 267, 6049, 267, 23376, 8868, 563, 12552, 585, 519, 12576, 827, 519, 10775, 21799, 543, 5247, 25714, 12636, 5048, 543, 875, 621, 849, 2337, 609, 7244, 269, 589, 1390, 8082, 5305, 585, 4896, 945, 22939, 1932, 1454, 942, 1793, 22981, 936, 513, 2780, 267, 6049, 610, 23376, 8868, 269, 2659, 6296, 568, 1945, 649, 782, 1131, 4324, 689, 454, 763, 30528, 3625, 3308, 568, 971, 513, 1390, 21658, 593, 875, 547, 10518, 3388, 269, 594, 899, 519, 4743, 540, 519, 11759, 613, 748, 3440, 593, 519, 1394, 267, 594, 2356, 5066, 1210, 519, 3312, 2450, 11084, 267, 855, 713, 7959, 865, 1454, 12137, 518, 563, 302, 1111, 550, 1307, 649, 1589, 540, 2241, 14577, 519, 9221, 543, 17525, 547, 2048, 1056, 909, 2786, 8730, 9684, 596, 585, 4687, 602, 621, 568, 1454, 811, 982, 602, 2336, 296, 2648, 602, 891, 1614, 647, 18090, 5751, 543, 875, 789, 9192, 547, 1711, 811, 2230, 538, 891, 20495, 2127, 547, 948, 2232, 14302, 2152, 269, 634, 30528, 3625, 11052, 568, 5363, 950, 7555, 543, 950, 647, 18090, 269, 898, 779, 849, 8799, 547, 1294, 519, 11759, 613, 748, 3440, 1031, 538, 1114, 2081, 2336, 25802, 5363, 1344, 267, 8729, 585, 519, 2376, 543, 519, 8348, 547, 3262, 519, 2648, 676, 3450, 1866, 267, 1007, 2081, 547, 1491, 1416, 540, 2933, 563, 12552, 585, 2921, 519, 942, 547, 1224, 713, 27118, 2336, 296, 6557, 971, 513, 10178, 540, 519, 11759, 613, 748, 10378, 11831, 269, 8729, 585, 10223, 621, 607, 513, 9543, 1505, 547, 1628, 4656, 998, 938, 11983, 20078, 2137, 563, 2791, 616, 1034, 10950, 966, 5028, 267, 621, 2731, 1281, 1745, 1390, 547, 960, 609, 938, 1560, 779, 2067, 14258, 713, 1259, 2336, 306, 4673, 267, 519, 11759, 613, 748, 11831, 568, 1631, 606, 7533, 851, 540, 519, 10163, 20753, 5049, 594, 1291, 607, 1134, 269, 594, 849, 2141, 3142, 835, 609, 803, 950, 594, 6557, 21409, 267, 2523, 593, 27858, 2336, 14188, 596, 808, 11047, 710, 585, 10223, 519, 2956, 540, 1434, 14302, 269, 594, 2523, 5660, 519, 11052, 540, 16889, 707, 17525, 593, 513, 10359, 554, 9734, 630, 2041, 2246, 3814, 543, 2500, 1040, 594, 1419, 5066, 1250, 17818, 12636, 543, 1624, 760, 583, 609, 476, 273, 13672, 11084, 538, 513, 547, 974, 267, 855, 713, 729, 1250, 1101, 942, 1210, 513, 11759, 613, 748, 3440, 3079, 269, 898, 779, 513, 8799, 9543, 4244, 269, 594, 849, 2972, 1210, 1250, 11759, 613, 748, 3440, 547, 5066, 1250, 5247, 25714, 12636, 543, 899, 547, 946, 621, 607, 513, 4412, 538, 1488, 323, 3873, 14205, 553, 3570, 630, 320, 8425, 2401, 4528, 540, 6462, 3165, 1040, 4279, 5311, 563, 7069, 2123, 8343, 568, 602, 519, 5354, 540, 721, 723, 4057, 14302, 865, 621, 568, 1390, 547, 1294, 891, 2653, 5751, 609, 513, 3440, 547, 2953, 938, 18879, 269, 9684, 596, 454, 289, 21392, 14302, 2356, 1797, 1447, 1928, 2336, 328, 1589, 891, 5751, 543, 4656, 540, 519, 12636, 1058, 979, 2786, 883, 2168, 1534, 725, 693, 782, 3506, 269, 23883, 538, 713, 2085, 540, 942, 1141, 782, 6107, 23119, 3983, 2022, 999, 543, 1875, 1659, 541, 1145, 540, 972, 12636, 1813, 547, 1259, 547, 1454, 942, 1102, 3224, 540, 2780, 267, 1591, 11436, 3381, 3756, 3092, 563, 2791, 1118, 606, 538, 1636, 656, 1448, 1934, 27015, 1731, 974, 2336, 17764, 594, 4076, 6836, 891, 5751, 543, 594, 723, 547, 2161, 1547, 1547, 1547, 2370, 7575, 609, 2462, 1764, 269, 476, 1911, 260, 723, 5249, 891, 883, 1250, 6296, 269, 11289, 596, 808, 11047, 710, 543, 570, 308, 293, 12243, 585, 1776, 1390, 2376, 563, 12552, 585, 519, 707, 5955, 267, 5153, 7315, 773, 256, 594, 6557, 6126, 547, 5873, 602, 713, 9623, 568, 5363, 256, 0, 268, 12928, 1442, 719, 297, 306, 20861, 454, 268, 12928, 1442, 719, 297, 306, 910, 5851, 454, 268, 12928, 1442, 719, 297, 306, 910, 11137, 454, 268, 12928, 1442, 719, 297, 306, 910, 5113, 5590, 1575, 454, 268, 12928, 1442, 719, 297, 306, 910, 13335, 454, 268, 12928, 1442, 719, 297, 306, 910, 631, 309, 30470, 17563, 454, 268, 12928, 1442, 719, 297, 306, 910, 17325, 1963, 454, 268, 6156, 539, 17325, 1963, 454, 268, 12928, 1442, 719, 297, 306, 910, 13207, 541, 894, 645, 785, 902, 454, 268, 12928, 1442, 719, 297, 306, 910, 667, 2570, 1890, 31524, 454, 268, 12928, 1442, 719, 297, 306, 910, 16574, 908, 454, 268, 12928, 1442, 719, 297, 306, 910, 22020, 454, 268, 12928, 1442, 719, 297, 306, 8249, 454, 268, 12928, 1442, 719, 297, 306, 910, 16797, 6651, 454, 268, 12928, 1442, 719, 297, 306, 910, 8249, 454, 268, 12928, 1442, 719, 297, 306, 910, 17564, 454, 268, 29120, 7335, 454, 268, 772, 28903, 594, 3008, 1401, 4461, 11872, 454, 268, 3763, 518, 781, 7454, 13756, 454, 268, 5999, 543, 12226, 454, 268, 13229, 1763, 2541, 5675, 454, 268, 15679, 19877, 5999, 454, 268, 8950, 3794, 27443, 454, 268, 5808, 568, 5808, 454, 298, 333, 1442, 719, 297, 306, 910, 11137, 454, 298, 333, 1442, 719, 297, 306, 729, 2919, 543, 568, 9738, 607, 606, 1930, 2707, 1788, 676, 19378, 9995, 3205, 267, 513, 9786, 9441, 593, 5147, 476, 276, 267, 476, 1001, 271, 269, 918, 302, 568, 606, 28008, 1031, 585, 12928, 1442, 719, 297, 306, 269, 918, 302, 7028, 782, 13416, 26292, 910, 594, 292, 476, 277, 31956, 32288, 2135, 476, 274, 269, 276, 31956, 24904, 267, 28709, 267, 6380, 926, 630, 9188, 330, 9008, 8276, 9394, 1916, 8722, 2137, 540, 12928, 1442, 719, 297, 306, 454, 2080, 568, 513, 1592, 540, 930, 540, 519, 1034, 7986, 2934, 540, 12928, 1442, 719, 297, 306, 6567, 454, 5719, 743, 541, 894, 645, 4193, 6567, 14103, 667, 6865, 2609, 616, 4448, 547, 519, 2203, 998, 1239, 1532, 785, 14487, 1210, 513, 1360, 2241, 16105, 269, 898, 568, 1500, 2653, 547, 3035, 30506, 1210, 713, 4183, 563, 8505, 11703, 30892, 4676, 3306, 6567, 7102, 2242, 1500, 547, 2070, 519, 2203, 1239, 616, 10630, 538, 519, 30892, 8850, 543, 13030, 268, 951, 320, 269, 3143, 991, 540, 1603, 3063, 3009, 563, 291, 2570, 1890, 31524, 6567, 20556, 1063, 918, 302, 10305, 543, 918, 302, 5399, 3252, 270, 4818, 7859, 568, 12001, 269, 14825, 5597, 13475, 1239, 2242, 538, 918, 302, 14487, 543, 10311, 9757, 4299, 2127, 563, 307, 6374, 908, 6567, 16574, 919, 616, 513, 2241, 543, 10375, 1259, 547, 1628, 1950, 30892, 3889, 910, 609, 519, 7872, 540, 18110, 610, 21224, 7161, 910, 607, 513, 1599, 540, 2070, 2203, 1239, 563, 15761, 839, 1043, 6567, 6987, 1742, 2688, 2623, 1360, 3362, 563, 3963, 2422, 12928, 1442, 719, 297, 306, 888, 298, 333, 1442, 719, 297, 306, 5399, 3758, 568, 1360, 1507, 543, 17426, 563, 298, 333, 1442, 719, 297, 306, 568, 4830, 540, 1022, 824, 5943, 269, 898, 568, 15095, 609, 824, 7817, 610, 7746, 2427, 4066, 563, 7197, 1271, 540, 782, 12928, 1442, 719, 297, 306, 568, 1930, 2707, 543, 8754, 1863, 585, 946, 563, 298, 333, 1442, 719, 297, 306, 568, 4628, 13006, 269, 634, 4013, 3135, 814, 2407, 12319, 1519, 16286, 2703, 338, 267, 2661, 1806, 267, 543, 7317, 18862, 269, 0, 3080, 540, 519, 1034, 1455, 11763, 3676, 538, 1453, 267, 17333, 4345, 2923, 630, 6865, 264, 5540, 519, 1647, 1274, 543, 568, 3335, 6353, 676, 1274, 5995, 269, 2368, 1453, 616, 12155, 547, 2348, 2789, 1274, 5563, 267, 799, 666, 1291, 547, 6217, 2042, 543, 824, 3978, 8374, 269, 2755, 11216, 723, 1044, 519, 2757, 2126, 267, 3395, 4145, 936, 15084, 4187, 543, 2427, 2360, 723, 17275, 1719, 538, 4244, 14319, 267, 971, 607, 22763, 563, 17843, 3029, 540, 744, 300, 723, 1044, 4857, 269, 634, 8552, 13315, 8650, 17333, 4345, 2923, 630, 288, 6865, 1070, 20443, 8650, 17333, 4345, 2923, 630, 6938, 6865, 1070, 17333, 4345, 2923, 609, 2498, 4288, 630, 26041, 1070, 5312, 17333, 4345, 2923, 609, 2498, 4288, 630, 4596, 10933, 1070, 543, 5312, 1139, 584, 894, 17333, 4345, 2923, 630, 5425, 6865, 1916, 288, 1455, 13374, 547, 782, 3029, 540, 744, 300, 568, 15176, 1599, 540, 519, 661, 755, 778, 1014, 8546, 543, 6553, 540, 519, 1647, 1274, 269, 1306, 621, 568, 513, 12947, 716, 3645, 2783, 267, 26715, 267, 3984, 5829, 267, 543, 2825, 2188, 1404, 513, 1909, 538, 744, 300, 269, 21118, 2188, 602, 2333, 519, 1981, 585, 744, 300, 616, 267, 585, 3236, 267, 7820, 2085, 267, 4719, 32739, 267, 5198, 543, 14940, 267, 6375, 32759, 267, 543, 561, 28640, 2684, 31099, 17406, 269, 7025, 2188, 602, 723, 513, 2942, 3310, 593, 744, 300, 267, 593, 519, 824, 1688, 267, 616, 5162, 4005, 267, 4542, 8023, 610, 3908, 20418, 267, 4598, 547, 16906, 8673, 267, 1970, 14227, 4567, 267, 4527, 540, 4587, 16254, 267, 1554, 3249, 20343, 267, 543, 31390, 8595, 946, 563, 763, 31630, 540, 744, 300, 568, 1950, 267, 5473, 519, 13261, 543, 5065, 4761, 1062, 267, 661, 755, 778, 1014, 2389, 4209, 14524, 267, 10194, 543, 9190, 4452, 267, 543, 4719, 543, 2825, 2188, 563, 301, 22022, 476, 3199, 260, 540, 1453, 786, 723, 693, 2547, 835, 12558, 540, 589, 6865, 267, 609, 513, 8445, 2085, 540, 12136, 1063, 476, 277, 547, 476, 1321, 3275, 269, 18641, 267, 1034, 2665, 540, 589, 6865, 8207, 1510, 1713, 4539, 610, 1279, 3856, 5222, 267, 2901, 593, 741, 1378, 610, 609, 519, 5351, 540, 11216, 269, 1717, 267, 950, 744, 300, 3587, 5312, 610, 14578, 16571, 267, 621, 666, 1267, 538, 8801, 2360, 563, 13828, 8290, 543, 4551, 616, 26582, 538, 4929, 589, 6865, 269, 769, 1453, 1063, 476, 277, 3275, 543, 476, 274, 1296, 540, 2085, 267, 827, 476, 3445, 260, 540, 14501, 540, 589, 6865, 616, 5532, 547, 513, 10194, 5580, 7929, 8778, 630, 7838, 307, 264, 3968, 563, 1607, 10194, 3968, 5012, 547, 6553, 538, 519, 13439, 2684, 28449, 543, 661, 755, 778, 1014, 8546, 267, 2870, 513, 2942, 2604, 538, 519, 1647, 1274, 543, 3850, 4551, 543, 5924, 8290, 547, 1847, 538, 543, 2014, 3968, 269, 634, 10171, 540, 3384, 589, 6865, 1310, 513, 10194, 772, 20670, 3968, 568, 1644, 547, 519, 1297, 540, 13596, 3935, 1944, 519, 13439, 2684, 28449, 563, 7212, 519, 8552, 540, 2068, 15320, 538, 10835, 8653, 267, 10335, 267, 543, 1279, 3856, 8374, 267, 789, 782, 2671, 513, 1455, 8984, 281, 1647, 1274, 2498, 4288, 630, 300, 7417, 1070, 799, 568, 513, 4015, 540, 5714, 602, 3568, 513, 3309, 22435, 563, 763, 1034, 4122, 9678, 4551, 3842, 2757, 9190, 2528, 689, 519, 631, 7417, 540, 1453, 609, 744, 300, 941, 12794, 655, 17232, 639, 4623, 345, 2801, 267, 6790, 696, 19905, 16415, 324, 267, 543, 5651, 1314, 7578, 3032, 1551, 15595, 529, 269, 769, 835, 1353, 267, 3368, 540, 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 ]
[ 3446, 563, 4818, 732, 4334, 609, 2626, 1883, 543, 2542, 15102, 7824, 563, 1260, 1706, 532, 543, 17804, 3211, 5635, 4334, 3446, 4976, 476, 272, 6516, 1614, 1919, 3197, 8223, 476, 273, 526, 1954, 563, 14079, 2542, 3211, 28019, 543, 15144, 593, 519, 3484, 3791, 8223, 4976, 556, 563, 13548, 1267, 585, 5635, 543, 4334, 2542, 3211, 635, 6516, 8223, 2238, 476, 275, 628, 3446, 4511, 571, 563, 4818, 732, 543, 4334, 2542, 8223, 5751, 476, 272, 3211, 476, 275, 628, 3446, 4976, 1863, 7792, 14834, 563, 14079, 2542, 8223, 3211, 2789, 3903, 547, 1820, 476, 273, 5635, 543, 4334, 476, 275, 628, 269, 0, 289, 6993, 15301, 295, 976, 264, 7136, 9442, 19510, 4804, 27159, 454, 272, 269, 5675, 10341, 454, 10743, 616, 4397, 547, 581, 4628, 8036, 543, 5423, 609, 3318, 1983, 540, 1603, 607, 513, 27680, 2348, 2347, 1702, 540, 13235, 291, 540, 2923, 1603, 971, 607, 6452, 5596, 267, 6601, 6143, 267, 1849, 10846, 543, 2598, 1356, 333, 618, 563, 6124, 4066, 723, 6854, 519, 2923, 4648, 1957, 543, 4050, 1447, 547, 519, 5021, 6708, 269, 1924, 267, 789, 1131, 581, 4628, 8036, 543, 5423, 547, 6023, 2780, 267, 4950, 543, 824, 2413, 4066, 1031, 538, 2923, 693, 1459, 563, 274, 269, 3683, 782, 11310, 540, 5396, 547, 2328, 454, 5445, 4927, 1353, 543, 1174, 4095, 9139, 267, 15213, 540, 16594, 267, 2324, 540, 6608, 543, 2197, 779, 3486, 1894, 609, 15231, 543, 824, 2477, 547, 581, 5423, 547, 2328, 563, 275, 269, 28415, 12333, 10341, 540, 18329, 9012, 454, 10743, 1131, 581, 4628, 8036, 609, 4052, 1702, 540, 2504, 540, 1982, 543, 17245, 2504, 585, 8613, 998, 2413, 2923, 2978, 607, 829, 1699, 3747, 540, 7641, 2872, 269, 1358, 1131, 849, 1174, 1134, 4052, 3344, 540, 3318, 10344, 267, 3377, 2542, 585, 7641, 543, 15571, 543, 1148, 540, 15571, 808, 15736, 563, 276, 269, 13159, 9751, 540, 5398, 9534, 543, 5398, 640, 16457, 454, 1607, 568, 942, 540, 32398, 538, 782, 12106, 540, 2486, 789, 1131, 581, 4628, 8036, 547, 2259, 2413, 2645, 543, 2553, 540, 11553, 543, 5398, 640, 547, 8597, 3747, 540, 2872, 563, 277, 269, 19750, 11310, 540, 3798, 1746, 593, 2413, 23675, 454, 5445, 1131, 581, 4628, 8036, 609, 2347, 3318, 1702, 540, 11049, 3377, 585, 1820, 543, 5907, 2923, 538, 1134, 25668, 5792, 2923, 2978, 563, 278, 269, 11310, 3823, 4750, 1143, 1759, 593, 4886, 267, 5113, 267, 19004, 543, 11846, 454, 5445, 1131, 2744, 7811, 543, 4052, 1702, 827, 3377, 5359, 1603, 593, 6932, 5396, 540, 2923, 971, 607, 1646, 267, 1604, 267, 4346, 543, 5026, 547, 8597, 519, 991, 540, 3988, 269, 1358, 1131, 1451, 875, 547, 2328, 3377, 2984, 593, 891, 5396, 563, 279, 269, 4197, 540, 7926, 5004, 454, 22923, 1131, 1174, 1134, 607, 547, 875, 606, 2680, 568, 6896, 585, 799, 789, 1131, 10929, 22631, 1222, 538, 13646, 540, 7926, 14992, 547, 581, 513, 3501, 7926, 2923, 3318, 563, 280, 269, 4197, 540, 4964, 4521, 543, 9012, 15979, 454, 5445, 4927, 2744, 5813, 3823, 519, 4964, 4521, 543, 9012, 7881, 547, 2259, 543, 4688, 741, 1820, 8313, 689, 3656, 8374, 269, 1358, 1131, 849, 1174, 519, 2923, 7881, 547, 581, 25442, 19784, 547, 1628, 909, 519, 3239, 540, 741, 1378, 607, 1134, 607, 3919, 269, 0, 763, 1977, 2069, 1062, 3091, 513, 3638, 2361, 540, 5079, 585, 3486, 1053, 269, 1703, 568, 971, 606, 5044, 540, 3506, 267, 3292, 267, 543, 6753, 602, 519, 5079, 949, 8267, 332, 1053, 267, 1256, 1346, 689, 519, 772, 2529, 269, 1306, 596, 2253, 707, 1153, 3406, 267, 621, 779, 1271, 547, 24559, 3054, 609, 519, 1977, 2069, 1062, 269, 4197, 519, 1062, 786, 948, 596, 7522, 707, 5079, 543, 1020, 707, 2069, 1544, 563, 26212, 547, 2362, 2069, 267, 1977, 1053, 7390, 3119, 543, 6281, 1153, 585, 513, 5916, 2698, 540, 476, 1321, 1296, 269, 1452, 1296, 616, 5219, 547, 607, 519, 1101, 998, 1000, 27097, 9344, 563, 32481, 2085, 3670, 267, 772, 2529, 269, 1453, 2253, 3119, 1153, 267, 799, 568, 1034, 4122, 1572, 968, 324, 11915, 1153, 1848, 1358, 7390, 2947, 610, 3670, 1296, 543, 1287, 979, 547, 6281, 1153, 563, 13553, 776, 1153, 5161, 540, 1079, 3292, 281, 519, 1101, 568, 968, 332, 1497, 1153, 892, 610, 968, 329, 684, 1640, 1164, 1153, 892, 543, 519, 2034, 1982, 568, 968, 14683, 1153, 1848, 589, 26885, 610, 15149, 568, 13752, 2390, 22692, 689, 1164, 1153, 269, 2991, 4271, 908, 689, 1164, 1153, 630, 1321, 628, 3446, 1070, 772, 2529, 269, 1053, 949, 979, 593, 547, 2852, 610, 6280, 269, 5441, 610, 6280, 1353, 568, 1634, 607, 968, 327, 27941, 2069, 3034, 15578, 772, 2529, 269, 670, 26996, 2207, 11581, 24102, 20219, 23727, 281, 700, 14110, 30600, 5508, 29898, 454, 288, 2875, 945, 568, 11504, 513, 2852, 610, 6280, 543, 814, 711, 12236, 513, 20277, 779, 4110, 568, 4974, 693, 519, 15938, 1377, 269, 898, 3335, 3217, 827, 2185, 1296, 547, 7118, 513, 20277, 779, 4110, 269, 1411, 666, 2901, 2253, 707, 2090, 538, 13287, 540, 513, 20277, 779, 4110, 693, 513, 2146, 2852, 610, 513, 2185, 4458, 6280, 610, 2852, 563, 7312, 1101, 1079, 1296, 540, 1353, 596, 786, 3622, 581, 2838, 547, 1491, 513, 2647, 3099, 540, 5049, 538, 1114, 5396, 267, 4122, 1634, 607, 32563, 6030, 281, 3332, 267, 2257, 267, 519, 1514, 9443, 267, 519, 6575, 267, 1686, 267, 543, 865, 8521, 269, 901, 568, 865, 596, 3035, 513, 2489, 1702, 267, 513, 5748, 267, 540, 513, 3099, 540, 5396, 1991, 547, 2519, 593, 513, 1808, 2361, 540, 1353, 563, 6624, 1053, 3442, 547, 1353, 693, 513, 2146, 2852, 538, 1931, 547, 2347, 519, 1101, 1079, 1296, 540, 32563, 6030, 269, 1358, 786, 7118, 606, 21133, 540, 8551, 630, 8150, 264, 4483, 4110, 543, 1287, 4483, 547, 513, 2185, 4458, 6280, 610, 2852, 563, 288, 10927, 1982, 568, 2356, 513, 6498, 540, 513, 6280, 610, 2852, 269, 23958, 3292, 538, 13287, 540, 513, 4487, 779, 4110, 3335, 1491, 835, 547, 1079, 1296, 547, 2347, 269, 1280, 1383, 267, 519, 32233, 630, 24490, 540, 1870, 7245, 264, 568, 606, 5393, 2442, 4110, 1982, 602, 3217, 827, 1079, 1296, 269, 4033, 4487, 779, 3292, 267, 971, 607, 19761, 267, 1152, 1491, 835, 1032, 563, 763, 5354, 540, 513, 4487, 779, 1982, 568, 6170, 538, 4928, 1353, 543, 513, 10927, 2875, 1590, 5965, 513, 1279, 1382, 1957, 1572, 513, 968, 24490, 779, 5098, 892, 610, 2347, 513, 968, 24490, 779, 1788, 3034, 2414, 2744, 16075, 267, 596, 786, 991, 547, 1491, 519, 24321, 630, 12392, 2594, 6514, 1040, 15742, 4487, 779, 3292, 2154, 1808, 4255, 267, 971, 607, 519, 700, 306, 2969, 585, 1876, 1153, 267, 519, 24321, 610, 17918, 585, 1870, 1153, 267, 543, 519, 14330, 2969, 585, 2564, 1153, 563, 2005, 949, 1491, 1614, 1296, 610, 811, 547, 7118, 513, 1912, 6185, 269, 4110, 269, 1280, 3486, 1053, 267, 621, 949, 1491, 607, 1279, 607, 2947, 610, 3670, 1296, 269, 3509, 10927, 3506, 2015, 519, 26556, 540, 513, 4487, 779, 4110, 519, 1101, 1900, 2509, 15980, 513, 1912, 6185, 269, 630, 4777, 2758, 622, 1040, 1809, 693, 824, 3506, 267, 1053, 949, 5965, 2047, 585, 513, 4387, 622, 1510, 849, 15980, 513, 4487, 779, 4110, 563, 2690, 519, 1101, 1079, 1296, 540, 519, 1982, 267, 1034, 25719, 10457, 18934, 538, 5049, 543, 29468, 269, 2311, 2547, 1776, 1032, 568, 6170, 10647, 20250, 1382, 543, 1603, 513, 5098, 610, 12031, 269, 901, 1957, 1590, 2270, 5784, 267, 6272, 267, 610, 1382, 602, 723, 711, 1044, 5892, 3370, 563, 288, 25719, 12031, 568, 513, 4901, 543, 5758, 540, 519, 1699, 14172, 593, 513, 2016, 1888, 269, 4107, 772, 2529, 269, 9945, 8366, 532, 4387, 919, 849, 2154, 741, 10457, 547, 723, 513, 2542, 1702, 540, 1079, 4914, 4654, 267, 547, 6108, 513, 2838, 3259, 540, 942, 968, 514, 15335, 2223, 547, 1780, 513, 27216, 6514, 602, 13166, 8098, 1080, 10457, 547, 519, 1912, 6185, 269, 1982, 543, 547, 1780, 606, 5711, 6514, 593, 519, 1482, 1888, 607, 519, 12031, 563, 763, 772, 2529, 269, 4081, 11706, 3335, 8255, 689, 5181, 547, 2904, 543, 666, 581, 5258, 883, 1079, 4081, 2474, 540, 476, 1626, 268, 1240, 4374, 1634, 607, 5033, 22246, 269, 17968, 267, 930, 3506, 949, 7500, 593, 513, 10116, 610, 959, 30478, 1062, 540, 2789, 2474, 540, 476, 1015, 268, 1321, 4374, 269, 26023, 267, 952, 596, 23868, 519, 4832, 8400, 267, 519, 4081, 1032, 568, 2901, 16922, 540, 1079, 5033, 22246, 610, 1614, 6709, 6621, 2474, 563, 763, 5354, 540, 1007, 1053, 2253, 538, 15489, 267, 865, 621, 568, 513, 1434, 2856, 585, 3486, 1053, 547, 849, 2253, 741, 772, 2529, 269, 6280, 2090, 693, 713, 942, 269, 1703, 568, 513, 2603, 540, 10761, 693, 519, 4098, 540, 519, 1153, 1032, 543, 1053, 689, 1082, 1390, 17052, 1282, 713, 942, 267, 607, 789, 616, 782, 14577, 547, 513, 1007, 5123, 540, 4081, 1272, 563, 32381, 540, 519, 9872, 1826, 267, 538, 519, 2136, 2276, 267, 1053, 3335, 7118, 17099, 585, 6030, 789, 1491, 543, 891, 17099, 1293, 2509, 519, 12032, 540, 513, 1982, 269, 20043, 616, 1419, 5258, 883, 968, 14537, 892, 1641, 2127, 547, 1683, 519, 5748, 540, 519, 4110, 1982, 543, 968, 332, 1994, 892, 6030, 547, 1683, 29286, 538, 513, 1641, 1858, 269, 4841, 666, 849, 1491, 968, 19491, 633, 892, 6030, 547, 2263, 824, 3584, 540, 1719, 585, 513, 1134, 25454, 3872, 1995, 563, 763, 21249, 1062, 543, 717, 5183, 538, 519, 772, 2529, 269, 666, 581, 14845, 267, 2523, 585, 3486, 1053, 269, 634, 7664, 540, 9344, 814, 513, 2603, 540, 8390, 269, 1411, 786, 723, 547, 10505, 707, 4081, 31286, 607, 851, 540, 707, 3498, 585, 16075, 547, 6280, 610, 2852, 563, 11997, 267, 972, 616, 930, 2629, 1919, 547, 1832, 538, 2247, 912, 2791, 1058, 1265, 856, 519, 772, 2529, 269, 6697, 540, 519, 2063, 1377, 540, 2069, 596, 6192, 538, 707, 1753, 2197, 563, 28324, 2673, 3007, 547, 519, 16075, 4170, 540, 1142, 6280, 543, 2852, 267, 607, 1134, 607, 1367, 4110, 3292, 267, 799, 949, 723, 1114, 4170, 982, 519, 2160, 563, 25603, 609, 589, 3495, 558, 3872, 25129, 547, 1118, 2386, 596, 616, 5870, 519, 4170, 563, 288, 3495, 558, 12409, 31548, 786, 581, 2111, 547, 18973, 596, 593, 2436, 610, 711, 596, 1590, 6108, 606, 3063, 1032, 610, 1079, 8600, 585, 772, 2529, 269, 6280, 16075, 563, 5415, 982, 476, 275, 267, 4335, 26886, 5238, 1118, 909, 772, 2529, 269, 2362, 2069, 538, 519, 2136, 2276, 269, 9521, 1082, 2477, 267, 772, 2529, 269, 2362, 2069, 5238, 616, 711, 31344, 958, 6896, 610, 7307, 855, 616, 26886, 593, 513, 3084, 610, 6237, 1377, 676, 4830, 20774, 1746, 4703, 563, 13750, 12621, 543, 9945, 267, 849, 1572, 968, 21504, 9945, 2223, 941, 8547, 543, 13564, 1242, 676, 772, 2529, 269, 1533, 6608, 547, 1683, 513, 1970, 21057, 2069, 547, 7264, 540, 602, 1533, 269, 5398, 9945, 3622, 2709, 1569, 547, 1382, 3255, 543, 5049, 538, 513, 2647, 3099, 540, 4610, 540, 1353, 269, 1452, 9945, 4043, 547, 581, 1360, 1804, 543, 3622, 16153, 513, 9962, 2039, 540, 1053, 982, 4357, 9945, 269, 3962, 2875, 779, 4690, 786, 3391, 1010, 17017, 3903, 1851, 519, 1082, 7399, 269, 3509, 540, 891, 1857, 9945, 3506, 723, 519, 2012, 540, 519, 1533, 267, 610, 519, 4890, 2262, 968, 13750, 892, 538, 741, 4408, 281, 585, 1383, 267, 6115, 3557, 2160, 543, 519, 2160, 540, 12309, 563, 7468, 10675, 12621, 543, 9945, 616, 14102, 676, 513, 4999, 540, 1439, 578, 906, 267, 13344, 689, 620, 30282, 267, 1382, 14828, 267, 543, 24875, 12375, 269, 17721, 12621, 543, 9945, 616, 2356, 4130, 982, 1857, 5238, 543, 666, 723, 513, 3909, 30901, 610, 581, 2582, 20967, 3506, 269, 16515, 819, 786, 2356, 581, 2362, 982, 1533, 3506, 269, 9671, 13124, 28337, 9945, 543, 12621, 616, 4357, 3506, 269, 27819, 782, 891, 3506, 10950, 1053, 540, 782, 10764, 543, 4978, 563, 26322, 12621, 616, 1776, 4781, 543, 1683, 1079, 4458, 12314, 4110, 3292, 547, 5965, 1053, 547, 3136, 2090, 585, 606, 15938, 4110, 610, 948, 873, 2744, 17163, 1983, 585, 7525, 7694, 563, 26322, 2852, 20021, 1034, 4122, 4483, 547, 2185, 4458, 12621, 610, 9945, 547, 2347, 741, 4110, 269, 5221, 789, 666, 4483, 519, 17099, 789, 12236, 1247, 11504, 2146, 2852, 267, 789, 666, 2347, 741, 20277, 779, 4110, 1982, 538, 1079, 610, 811, 3606, 1296, 269, 3509, 849 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 28733, 14502, 5675, 454, 5278, 1913, 616, 865, 2241, 649, 1522, 1745, 519, 991, 547, 10571, 873, 909, 267, 1118, 873, 2597, 1512, 267, 811, 3318, 269, 901, 568, 19890, 519, 2013, 609, 1082, 840, 6570, 531, 2453, 563, 2171, 1589, 5619, 1239, 538, 14966, 609, 6075, 5955, 786, 581, 13181, 563, 2171, 1589, 5619, 1239, 543, 6075, 5955, 786, 581, 13181, 563, 26594, 1913, 899, 543, 616, 15441, 282, 789, 3180, 1927, 519, 1271, 1919, 649, 1616, 547, 2161, 269, 22419, 899, 519, 15441, 269, 898, 2337, 873, 1224, 18334, 543, 10146, 1732, 563, 2080, 616, 930, 1455, 1806, 540, 11376, 520, 543, 15441, 563, 531, 784, 609, 9890, 543, 454, 553, 1134, 607, 9890, 543, 454, 514, 971, 513, 6073, 602, 9890, 865, 454, 514, 1931, 602, 9890, 865, 454, 514, 519, 2013, 540, 9890, 585, 454, 5976, 2463, 547, 9890, 585, 454, 2421, 1797, 540, 9890, 609, 454, 2421, 1210, 9890, 609, 454, 514, 2013, 9890, 952, 454, 514, 519, 2680, 9890, 952, 454, 3725, 680, 5217, 11376, 520, 3006, 3340, 513, 27682, 540, 513, 10902, 607, 513, 8231, 563, 1103, 519, 2680, 540, 513, 7746, 16154, 267, 6494, 519, 10332, 563, 2252, 513, 7746, 26301, 267, 6494, 519, 10332, 563, 31171, 707, 1603, 676, 896, 23164, 11376, 730, 840, 6570, 531, 2453, 563, 763, 6620, 2059, 609, 1239, 3366, 721, 547, 9670, 2164, 269, 3629, 811, 2866, 1239, 538, 1931, 602, 519, 3684, 666, 1020, 922, 1378, 5690, 269, 21414, 519, 1007, 2780, 609, 2463, 547, 519, 6111, 540, 11236, 269, 13979, 519, 1966, 676, 1797, 540, 1585, 12572, 2409, 269, 769, 2013, 2780, 5075, 6620, 616, 1102, 29342, 1043, 267, 2119, 3684, 1565, 563, 8893, 281, 2349, 334, 730, 2776, 21752, 454, 9556, 2544, 281, 13068, 1912, 337, 2084, 454, 17345, 281, 13068, 14502, 5675, 0, 10527, 1655, 942, 547, 2030, 513, 3529, 729, 476, 736, 1296, 3516, 269, 634, 2034, 1655, 942, 568, 1631, 3034, 9834, 260, 540, 24990, 2161, 4054, 616, 1271, 547, 741, 960, 454, 1765, 305, 9143, 296, 5619, 267, 5130, 476, 1708, 272, 454, 2108, 933, 616, 2507, 4657, 519, 1876, 865, 602, 782, 1007, 10754, 602, 616, 3710, 538, 713, 2197, 786, 581, 3529, 20898, 7536, 1765, 27144, 23514, 4459, 267, 14199, 540, 3557, 585, 24184, 454, 763, 1344, 2630, 568, 849, 2139, 547, 4647, 538, 7824, 3898, 1934, 563, 3963, 798, 649, 991, 547, 968, 3725, 21698, 293, 527, 892, 888, 763, 5177, 6554, 723, 3746, 2213, 519, 1909, 540, 4054, 538, 1007, 1646, 454, 763, 681, 9143, 296, 7143, 3699, 519, 1445, 593, 4180, 4054, 616, 3177, 1369, 1007, 7835, 267, 865, 7264, 723, 1569, 547, 519, 12716, 3675, 903, 543, 8171, 22429, 540, 4054, 269, 1717, 267, 4058, 568, 827, 519, 30810, 540, 519, 3710, 1604, 267, 711, 1175, 1007, 1646, 563, 763, 5354, 540, 519, 2551, 786, 2661, 538, 5321, 2907, 9112, 454, 9617, 607, 538, 519, 7521, 1472, 27164, 7257, 1154, 1753, 8022, 270, 1231, 1637, 267, 519, 5354, 540, 1004, 538, 519, 2197, 786, 3136, 2661, 538, 4867, 4540, 3601, 269, 3509, 540, 891, 8075, 798, 711, 4867, 723, 7850, 1569, 547, 4054, 267, 865, 621, 568, 1898, 602, 1247, 649, 2327, 1346, 538, 1007, 13976, 723, 1569, 547, 4054, 649, 1810, 1406, 7340, 827, 519, 5354, 540, 519, 2551, 563, 1432, 1131, 1234, 21698, 293, 9231, 1413, 899, 888, 3725, 21698, 293, 9231, 786, 723, 547, 581, 1747, 10391, 607, 711, 782, 840, 25365, 9897, 786, 581, 2111, 547, 1491, 4054, 269, 769, 930, 2665, 267, 1234, 21698, 293, 9231, 786, 2154, 24990, 547, 4983, 5624, 1141, 4054, 941, 8385, 14605, 9709, 543, 5555, 6569, 269, 1717, 267, 24990, 543, 3529, 4966, 786, 581, 2111, 547, 2697, 519, 6099, 3070, 585, 1142, 2230, 602, 786, 2327, 7264, 723, 3039, 2044, 540, 930, 1106, 267, 607, 1134, 607, 4054, 4092, 1369, 2653, 3914, 269, 901, 568, 1946, 24990, 616, 865, 2629, 547, 513, 3811, 1234, 21698, 293, 527, 281, 649, 3112, 3274, 1747, 4054, 883, 4540, 14565, 1510, 2219, 563, 3725, 21698, 293, 9231, 786, 2154, 759, 25703, 689, 519, 5177, 2229, 454, 2026, 5941, 2663, 538, 811, 1469, 267, 1082, 2199, 8128, 723, 4503, 741, 11280, 3529, 4199, 269, 12020, 13623, 616, 849, 896, 325, 24962, 267, 865, 972, 568, 1419, 711, 6190, 4199, 547, 4308, 609, 1875, 1922, 2465, 15980, 2238, 899, 3529, 9544, 269, 634, 681, 9143, 296, 7125, 593, 519, 5177, 6554, 547, 1394, 938, 1289, 585, 968, 3725, 21698, 293, 9231, 892, 4540, 5624, 543, 2950, 267, 543, 547, 1683, 519, 2556, 2200, 563, 3963, 616, 24990, 1898, 547, 5838, 3529, 2000, 1441, 10754, 888, 17843, 2010, 540, 4054, 991, 1114, 2175, 547, 21707, 454, 10144, 609, 6791, 538, 4054, 543, 2230, 4058, 666, 6474, 2173, 820, 4054, 547, 5624, 267, 543, 2057, 519, 3510, 2938, 538, 930, 14605, 9709, 7835, 1141, 4054, 5884, 1175, 3275, 610, 1296, 2663, 563, 288, 1134, 13807, 5896, 3529, 786, 723, 513, 1279, 14438, 454, 763, 2115, 543, 1764, 540, 519, 3529, 607, 621, 1319, 999, 4061, 1590, 581, 2808, 1354, 9544, 269, 634, 1318, 3529, 786, 2057, 13311, 27864, 267, 3441, 547, 5656, 543, 6978, 16445, 538, 519, 4636, 1747, 267, 1247, 519, 4636, 4054, 12630, 1932, 2673, 547, 5656, 786, 23366, 1205, 2759, 1524, 563, 307, 4181, 1058, 581, 7533, 547, 513, 1646, 267, 711, 1175, 968, 13582, 1025, 532, 7536, 303, 3233, 569, 2219, 998, 3529, 13307, 1524, 519, 1899, 538, 513, 1646, 1797, 4054, 616, 2484, 811, 2693, 547, 5884, 610, 1831, 513, 562, 7572, 766, 547, 7264, 269, 1280, 5021, 1967, 538, 513, 1646, 10325, 267, 4054, 991, 547, 581, 2808, 689, 519, 1376, 2864, 982, 3773, 693, 519, 1439, 607, 968, 13582, 1025, 532, 3034, 290, 548, 591, 4058, 796, 331, 4169, 519, 2407, 8171, 1764, 540, 4054, 454, 31413, 16719, 335, 2167, 538, 4279, 6628, 1683, 11278, 1626, 269, 276, 16818, 538, 2825, 267, 1072, 543, 21443, 640, 1871, 829, 1032, 269, 1773, 22395, 723, 513, 2629, 1909, 547, 1404, 538, 4180, 602, 2199, 2950, 1745, 519, 5021, 2318, 1764, 540, 2470, 282, 538, 513, 27226, 29117, 267, 1434, 2230, 4058, 540, 16719, 10628, 666, 5838, 2947, 2053, 607, 1454, 1871, 563, 5522, 8911, 12366, 2478, 519, 4324, 540, 4683, 3529, 9544, 585, 519, 1604, 454, 288, 3309, 2039, 540, 4054, 7471, 609, 15949, 2471, 543, 16719, 335, 2167, 607, 851, 540, 513, 9709, 968, 13582, 5989, 892, 1935, 814, 519, 5021, 2318, 1764, 585, 2470, 269, 19029, 1655, 1489, 9265, 950, 9709, 7258, 824, 2470, 23418, 15659, 960, 563, 303, 3233, 569, 9709, 3529, 9544, 666, 581, 513, 9651, 543, 1764, 10333, 454, 307, 4181, 5116, 538, 519, 4636, 6753, 666, 1118, 11444, 9875, 547, 6330, 543, 666, 581, 513, 9651, 585, 1346, 609, 9124, 267, 538, 4587, 2085, 610, 609, 1762, 1453, 269, 6153, 4058, 666, 2057, 4054, 2870, 10333, 2152, 538, 1857, 2230, 269, 18648, 569, 4092, 4054, 849, 1981, 3441, 547, 5656, 543, 5989, 267, 1419, 2348, 547, 581, 6569, 269, 769, 1082, 2665, 713, 568, 1946, 1234, 21698, 293, 527, 568, 2838, 267, 547, 4308, 609, 2127, 1141, 538, 1952, 10187, 2299, 12630, 4054, 723, 1044, 6569, 269, 22682, 891, 666, 1406, 1175, 581, 8719, 267, 3079, 1007, 3435, 991, 547, 581, 1336, 563, 307, 4176, 7733, 1058, 581, 851, 540, 513, 476, 1428, 8792, 29117, 454, 18455, 1472, 4054, 2337, 1004, 1921, 547, 2470, 543, 11414, 1453, 827, 519, 2067, 1158, 269, 589, 476, 1428, 8792, 29117, 568, 835, 538, 799, 782, 1898, 2533, 666, 581, 6603, 1369, 513, 2110, 3802, 267, 543, 713, 1058, 1331, 1569, 547, 2470, 269, 570, 4176, 7733, 616, 513, 4052, 4683, 3070, 602, 2981, 1507, 267, 3335, 3768, 324, 975, 762, 4609, 883, 14762, 2890, 6523, 916, 540, 2470, 269, 1452, 17281, 2275, 22620, 21092, 15429, 540, 4054, 666, 1332, 909, 547, 2947, 2053, 5488, 982, 14350, 12630, 4054, 543, 4482, 811, 982, 476, 4335, 2249, 540, 2371, 543, 2831, 563, 1432, 798, 24990, 991, 538, 1931, 547, 5838, 3529, 2000, 1441, 10754, 888, 5522, 22395, 1489, 513, 18487, 7903, 585, 3529, 9544, 454, 3080, 681, 9143, 296, 4759, 7074, 602, 4025, 968, 7474, 616, 1034, 10694, 543, 1034, 16990, 547, 2661, 538, 4043, 547, 723, 1804, 5666, 540, 8265, 4054, 267, 11614, 543, 10945, 609, 4054, 543, 4677, 4054, 2223, 1247, 1776, 29499, 602, 968, 560, 22901, 4054, 270, 4054, 538, 4683, 1857, 7706, 2127, 666, 1118, 513, 7372, 3017, 538, 7700, 2509, 8236, 1164, 2298, 267, 1134, 27059, 4683, 1858, 1848, 769, 930, 2665, 24990, 3068, 513, 968, 6247, 656, 6370, 892, 609, 9367, 547, 2327, 4054, 616, 3769, 1369, 14565, 267, 865, 24990, 10950, 2229, 1489, 585, 3529, 9544, 269, 3776, 2818, 10950, 513, 1445, 593, 4054, 538, 1007, 1646, 267, 855, 8449, 1489, 519, 1234, 21698, 293, 9231, 540, 4540, 2950, 269, 3367, 519, 2407, 2164, 689, 938, 4759, 5619, 1934, 563, 7761, 260, 540, 24990, 1131, 899, 811, 3609, 5583, 593, 4054, 454, 763, 5177, 6554, 779, 3210, 547, 519, 2296, 10326, 15613, 15360, 568, 4397, 1369, 519, 4947, 3275, 267, 543, 7258, 2242, 547, 519, 2817, 12020, 8889, 17563, 786, 1489, 24990, 547, 5838, 4054, 538, 519, 1318, 4025, 269, 1411, 666, 1224, 519, 681, 9143, 296, 779, 2407, 3210, 547, 519, 4789, 10326, 15613, 15360, 1934, 269, 476, 7761, 260, 723, 4280, 585, 519, 681, 9143, 296, 547, 2709, 873, 811, 8033, 5224, 12333, 4886, 3255, 1472, 4054, 267, 547, 1450, 873, 547, 9337, 741, 1620, 540, 1655, 2259, 563, 16966, 547, 3318, 3529, 5796, 454, 6624, 540, 938, 2818, 723, 29499, 593, 519, 17860, 532, 856, 540, 6791, 538, 3529, 9544, 1369, 10871, 8191, 885, 269, 19029, 12079, 619, 1694, 1369, 4058, 13623, 267, 4758, 4274, 5796, 547, 2327, 4054, 616, 1655, 7471, 883, 1646, 269, 3509, 2818, 723, 29499, 602, 789, 723, 4503, 741, 10326, 12079, 619, 538, 2487, 1296, 267, 610, 602, 789, 3668, 7850, 7616, 547, 3351, 1047, 5007, 4199, 563, 4910, 25703, 540, 10871, 12020, 8191, 885, 454, 5522, 8911, 13623, 723, 5185, 2810, 2883, 12503, 269, 769, 476, 1001, 278, 268, 1240, 267, 10871, 8191, 885, 685, 6170, 476, 271, 269, 276, 260, 540, 2121, 7836, 593, 4058, 267, 3379, 547, 476, 2004, 2053, 602, 2179, 593, 8027, 4324, 269, 10871, 6392, 7836, 593, 4058, 568, 1524, 593, 476, 1220, 280, 268, 1015, 538, 1312, 6207, 543, 3448, 2474, 267, 689, 11278, 6924, 277, 332, 547, 11278, 25002, 332, 829, 3045, 636, 269, 634, 681, 9143, 296, 723, 1305, 856, 519, 2013, 585, 606, 3606, 11278, 4335, 2929, 585, 4058, 630, 1478, 2185, 1296, 264, 538, 741, 19169, 547, 519, 18043, 1975, 2056, 5623, 563, 7767, 543, 18370, 704, 281, 589, 6355, 8865, 585, 30799, 538, 12020, 267, 5239, 476, 1708, 271, 269, 4179, 2517, 4178, 269, 4135, 7032, 3820, 16896, 22812, 14142, 270, 1708, 271, 270, 24934, 3426, 30032, 4034, 7146, 3491, 338, 704, 270, 0, 763, 9791, 16836, 454, 763, 9791, 16836, 275, 476, 272, 476, 276, 4201, 528, 281, 21667, 631, 7596, 27293, 454, 11749, 3599, 853, 26325, 568, 8938, 5991, 710, 267, 796, 3405, 3072, 267, 543, 814, 5030, 1200, 3003, 1272, 609, 1200, 575, 1601, 760, 16490, 1920, 945, 8362, 25339, 1200, 8788, 269, 1879, 4406, 3599, 568, 8995, 609, 513, 12363, 2295, 17966, 618, 267, 1352, 30877, 1352, 814, 2760, 1044, 6126, 538, 1200, 1272, 267, 543, 30280, 1996, 1200, 1920, 269, 4406, 3599, 16976, 547, 1847, 856, 540, 1200, 3993, 781, 2777, 543, 1491, 513, 2990, 607, 513, 2777, 24010, 585, 513, 3659, 540, 1200, 338, 945, 568, 1631, 18205, 569, 2192, 267, 595, 1170, 344, 22985, 269, 595, 1170, 344, 543, 4406, 3599, 2671, 513, 4055, 543, 1376, 7836, 942, 609, 4446, 2284, 590, 3534, 603, 267, 945, 519, 10034, 15161, 616, 18617, 568, 513, 7803, 2507, 634, 1650, 3217, 1747, 538, 519, 2038, 476, 4572, 271, 338, 538, 519, 14070, 4884, 540, 1546, 518, 6229, 267, 4092, 538, 519, 30073, 24499, 3148, 540, 14411, 543, 1759, 593, 519, 4884, 540, 7195, 320, 267, 799, 27293, 10272, 2899, 563, 299, 1075, 344, 631, 7596, 27293, 630, 6942, 275, 268, 3707, 273, 264, 729, 513, 8225, 2278, 1655, 1634, 585, 513, 3126, 540, 9089, 609, 14732, 540, 5682, 717, 1963, 267, 606, 29152, 539, 8004, 267, 19451, 569, 2366, 547, 513, 7008, 267, 945, 1185, 5497, 547, 9772, 513, 7911 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 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, 769, 713, 1576, 1770, 267, 649, 786, 5490, 883, 1585, 2564, 2474, 543, 2175, 4143, 547, 2027, 2069, 267, 3226, 538, 519, 2796, 540, 674, 13926, 15850, 25400, 15136, 630, 293, 32359, 1040, 4197, 891, 2474, 568, 2629, 585, 7855, 2324, 609, 1053, 609, 11095, 9124, 267, 607, 789, 666, 1764, 1565, 543, 2623, 269, 5047, 267, 2348, 713, 1702, 6087, 3610, 547, 12840, 3927, 609, 3782, 4648, 3238, 538, 1053, 262, 1416, 780, 272, 269, 2806, 7538, 772, 614, 710, 28563, 5338, 912, 6781, 7538, 29897, 11702, 4016, 547, 1022, 11539, 689, 6093, 28689, 3270, 538, 1875, 1790, 27389, 656, 2021, 7282, 8653, 267, 4908, 267, 543, 2834, 640, 269, 2755, 7234, 713, 2165, 1522, 3100, 20775, 547, 2027, 2069, 267, 621, 568, 1898, 547, 5431, 922, 1761, 4276, 547, 674, 32359, 269, 623, 1066, 7614, 4568, 4598, 666, 1291, 547, 17244, 538, 19341, 1646, 267, 1519, 10285, 8219, 269, 1306, 513, 1267, 267, 8951, 609, 674, 32359, 949, 1995, 12150, 18492, 9979, 267, 30286, 2591, 538, 5883, 741, 1072, 543, 8171, 269, 30451, 1058, 2611, 21713, 827, 2009, 4191, 540, 17441, 20817, 610, 824, 1072, 2152, 7133, 1053, 609, 674, 32359, 563, 273, 269, 21733, 1600, 16332, 32759, 15540, 630, 288, 10680, 2187, 288, 10680, 2164, 689, 4359, 7486, 3968, 4929, 4761, 1062, 5821, 267, 3056, 547, 18687, 547, 2309, 2065, 5563, 543, 1978, 30279, 17473, 269, 4014, 1463, 4296, 1063, 674, 32359, 543, 7486, 25266, 616, 3908, 267, 1382, 5267, 602, 2043, 609, 7214, 9124, 616, 693, 2362, 1981, 540, 7680, 4638, 6057, 543, 14226, 982, 1346, 1510, 9124, 269, 9182, 267, 1004, 609, 674, 32359, 949, 3068, 2799, 13438, 547, 24931, 16770, 10299, 3676, 899, 7486, 269, 4475, 267, 30015, 6267, 609, 674, 32359, 609, 3617, 1272, 1983, 2866, 543, 8825, 5615, 3587, 14063, 563, 274, 269, 1520, 523, 665, 32555, 5448, 912, 1607, 1826, 540, 2860, 24865, 1369, 14189, 983, 8031, 267, 4122, 4767, 538, 8219, 971, 607, 519, 6089, 267, 5761, 267, 17150, 267, 543, 19786, 269, 9282, 9583, 11397, 689, 938, 3119, 1445, 593, 674, 32359, 267, 14344, 20722, 665, 32555, 5557, 262, 6228, 5713, 607, 513, 12576, 540, 27514, 4568, 4598, 781, 2484, 23568, 4539, 269, 1280, 3236, 267, 10708, 543, 4079, 609, 674, 32359, 723, 15398, 4220, 585, 3384, 6281, 2175, 267, 1519, 2790, 10108, 543, 2168, 1072, 2042, 267, 1851, 799, 930, 1223, 5732, 8915, 607, 20722, 665, 32555, 5557, 269, 4935, 267, 2038, 6304, 3646, 13389, 674, 32359, 1590, 11168, 11455, 1489, 2994, 5466, 1312, 5042, 543, 12214, 3344, 540, 1646, 563, 275, 269, 1520, 523, 3912, 2670, 912, 1103, 20722, 3912, 2670, 267, 26707, 7434, 5160, 3335, 16298, 519, 19786, 9428, 28341, 641, 1227, 3330, 519, 1250, 2210, 8922, 910, 519, 16757, 29897, 3774, 269, 5381, 547, 3105, 13366, 267, 972, 4667, 547, 581, 2370, 16937, 1063, 20722, 3912, 2670, 543, 674, 32359, 269, 1717, 267, 2016, 602, 27514, 4568, 4598, 5222, 2789, 1418, 1949, 267, 9301, 2404, 4713, 3788, 4105, 269, 2368, 2963, 6920, 602, 8951, 6534, 547, 4568, 1282, 32460, 8858, 12012, 23856, 6989, 6091, 543, 21420, 3159, 267, 7654, 5532, 547, 5817, 29648, 31100, 7988, 325, 17313, 3361, 676, 19844, 1768, 520, 8328, 640, 269, 1452, 4681, 20838, 519, 991, 585, 15834, 5698, 950, 5885, 2043, 609, 674, 32359, 563, 276, 269, 1520, 1127, 687, 912, 9928, 18732, 4611, 538, 12758, 2389, 6320, 5160, 7252, 1915, 3278, 14398, 687, 267, 4749, 9648, 1310, 6391, 610, 5945, 7067, 269, 6736, 8766, 7805, 6402, 547, 674, 32359, 267, 3695, 713, 1523, 3091, 4030, 883, 6626, 6286, 540, 27514, 4568, 4598, 269, 13018, 267, 1453, 609, 674, 32359, 4159, 11506, 3928, 540, 5778, 16467, 11365, 22114, 8506, 10551, 7459, 282, 3976, 267, 25884, 2022, 10869, 8374, 971, 607, 14398, 687, 3587, 811, 2693, 269, 5015, 267, 26711, 4646, 1813, 547, 23361, 949, 22652, 4540, 10444, 4393, 7965, 4810, 676, 1082, 2043, 609, 674, 32359, 267, 26089, 3358, 9354, 4485, 6322, 693, 5355, 12003, 6127, 543, 2949, 2298, 540, 1272, 563, 277, 269, 24488, 1922, 564, 29952, 630, 288, 17025, 2187, 288, 17025, 18575, 513, 3940, 3812, 676, 513, 3395, 21565, 3713, 762, 538, 14774, 16796, 543, 993, 333, 8438, 5714, 269, 16424, 589, 17025, 2157, 6585, 4644, 538, 27514, 26129, 267, 16113, 7114, 8849, 8546, 12889, 543, 13560, 6794, 269, 9717, 674, 32359, 781, 7681, 609, 15176, 14715, 8647, 267, 23440, 609, 31036, 899, 589, 17025, 2488, 3407, 5380, 3823, 1950, 3347, 1063, 27514, 23927, 267, 5444, 4082, 267, 543, 2634, 1646, 269, 8033, 4240, 7760, 538, 7636, 11976, 3180, 9153, 585, 19286, 908, 2619, 30986, 30343, 674, 32359, 267, 6038, 26655, 6098, 6604, 543, 6304, 2994, 563, 278, 269, 2549, 523, 27695, 912, 9377, 1441, 607, 15534, 28689, 538, 1065, 6055, 1947, 9921, 2021, 267, 21443, 27695, 666, 6565, 689, 3309, 1696, 328, 3098, 267, 8151, 689, 17441, 20817, 547, 7293, 17244, 269, 6145, 4505, 3584, 5941, 1934, 267, 14344, 21443, 27695, 8309, 547, 26762, 15491, 29298, 540, 674, 32359, 269, 25408, 267, 6690, 543, 2021, 609, 674, 32359, 20920, 609, 2189, 2591, 17640, 547, 4996, 828, 2145, 1646, 267, 18492, 7939, 267, 543, 12680, 2359, 269, 9747, 267, 6220, 21195, 5466, 10285, 1072, 7924, 17648, 2565, 2956, 1369, 8537, 3872, 5468, 23695, 547, 6267, 609, 674, 32359, 563, 279, 269, 2549, 14269, 12510, 8412, 912, 2026, 13890, 7620, 267, 993, 14269, 12510, 8412, 4564, 606, 12362, 10368, 4480, 1303, 9430, 10868, 540, 993, 333, 8438, 5714, 5627, 19341, 5027, 543, 5946, 269, 4698, 5367, 5097, 547, 5496, 585, 4719, 22114, 267, 9606, 10095, 32623, 5928, 267, 543, 22787, 5563, 267, 993, 14269, 12510, 8412, 11438, 7915, 4220, 267, 23344, 1970, 267, 540, 31761, 543, 19341, 2800, 269, 25392, 674, 32359, 11710, 15866, 689, 28824, 2825, 2188, 2864, 982, 15110, 11976, 267, 6296, 13345, 540, 993, 14269, 12510, 8412, 949, 2408, 13061, 269, 11048, 267, 10128, 5717, 4478, 13494, 7614, 9584, 5773, 899, 993, 14269, 12510, 8412, 11942, 4656, 1472, 5483, 9844, 3157, 267, 5683, 9270, 267, 543, 2139, 2200, 585, 3885, 10188, 6379, 9624, 1634, 1981, 2188, 780, 1103, 5758, 267, 713, 1576, 1770, 25139, 6946, 12205, 1063, 2824, 2564, 16166, 543, 674, 13926, 15850, 25400, 15136, 630, 293, 32359, 1070, 11744, 875, 9583, 19635, 4610, 27721, 1369, 7463, 3872, 8658, 269, 1635, 14237, 4514, 8223, 540, 891, 4296, 267, 7855, 1732, 2990, 2933, 547, 12167, 585, 782, 2987, 5477, 7028, 5009, 6099, 4093, 585, 6267, 609, 674, 32359, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 10908, 27443, 540, 16301, 454, 6781, 7538, 772, 614, 710, 28563, 5338, 1107, 28563, 5338, 689, 519, 19786, 602, 568, 1114, 689, 1018, 568, 3339, 585, 513, 4807, 945, 568, 711, 9176, 269, 901, 11702, 949, 4268, 538, 875, 1279, 267, 875, 2834, 267, 543, 875, 1419, 621, 4386, 563, 10907, 638, 1600, 16332, 32759, 15540, 630, 288, 10680, 264, 1107, 589, 1895, 540, 4191, 543, 2589, 267, 2356, 540, 4049, 5563, 267, 538, 513, 1268, 945, 814, 1480, 6375, 32759, 3644, 630, 295, 4353, 1916, 3849, 523, 665, 32555, 5448, 1107, 9435, 602, 6238, 538, 14189, 983, 5160, 267, 971, 607, 519, 19786, 563, 3849, 523, 3912, 2670, 1107, 589, 2783, 538, 799, 519, 5160, 602, 7363, 3515, 519, 19786, 5956, 547, 1332, 538, 519, 4887, 3774, 540, 519, 19786, 563, 3849, 1127, 687, 1107, 2480, 1513, 602, 666, 1118, 5160, 7252, 6529, 1927, 563, 2704, 6495, 1922, 564, 29952, 630, 288, 17025, 264, 1107, 589, 3940, 1500, 676, 513, 21565, 269, 589, 17025, 666, 581, 1336, 538, 993, 333, 8438, 5714, 543, 538, 513, 9176, 4807, 779, 1973, 563, 288, 5443, 27695, 1107, 634, 9000, 540, 18492, 5712, 538, 2021, 540, 10285, 2085, 563, 8649, 14269, 12510, 8412, 1107, 589, 5650, 538, 799, 993, 333, 8438, 5714, 543, 2281, 616, 3144, 689, 519, 19786, 585, 4152, 269, 634, 5650, 3096, 513, 13549, 547, 11198, 5714, 543, 2281, 9992, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 11581, 24102, 1315, 7981, 4065, 1315, 25833, 1299, 25827, 24894, 1315, 674, 13926, 15850, 25400, 13081, 630, 293, 32359, 264, 17607, 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, 5272, 7853, 538, 519, 5604, 6785, 602, 14216, 4459, 729, 606, 11235, 581, 11232, 269, 1261, 5249, 2182, 267, 18423, 3735, 267, 543, 2141, 4682, 1657, 543, 3564, 1018, 729, 4397, 540, 1864, 269, 1924, 950, 646, 4280, 27239, 267, 519, 15679, 9614, 267, 952, 646, 1223, 3717, 547, 6004, 269, 16399, 267, 519, 16628, 267, 827, 3478, 513, 6318, 267, 1352, 7948, 1405, 2161, 1100, 780, 2026, 14216, 4459, 15336, 883, 6004, 269, 16399, 781, 5604, 267, 646, 5433, 8401, 2943, 9599, 269, 901, 729, 1010, 4960, 547, 13686, 782, 519, 1390, 960, 646, 1185, 1044, 3257, 543, 6368, 1205, 519, 6284, 646, 964, 5703, 269, 1809, 607, 4166, 607, 646, 3323, 6158, 267, 1919, 3576, 513, 2490, 780, 257, 16031, 269, 16399, 267, 594, 723, 1044, 2324, 1934, 585, 1614, 1296, 1631, 267, 543, 594, 1745, 899, 594, 10093, 1405, 20335, 519, 13180, 594, 17330, 2437, 14216, 4459, 1767, 18390, 780, 3719, 3079, 540, 3858, 532, 610, 14344, 14216, 4459, 781, 3646, 267, 6004, 269, 16399, 3274, 14452, 267, 834, 296, 1810, 1405, 1589, 596, 2811, 3833, 4712, 585, 513, 6318, 1175, 2943, 3010, 32056, 4459, 2451, 519, 4055, 4743, 17204, 543, 1208, 559, 7007, 269, 1261, 4769, 1405, 1174, 875, 1310, 782, 1010, 2182, 960, 267, 6004, 269, 16399, 1869, 7012, 1405, 8348, 547, 2285, 1864, 513, 6318, 269, 1656, 1256, 8338, 267, 646, 7691, 602, 3025, 538, 519, 5604, 1185, 4862, 827, 1010, 8959, 3801, 780, 19602, 267, 6004, 269, 16399, 2893, 1394, 538, 1010, 11381, 543, 2219, 827, 14216, 4459, 781, 7662, 269, 17610, 267, 646, 15874, 14216, 4459, 781, 11428, 543, 5397, 267, 855, 646, 849, 5156, 538, 14785, 1346, 945, 5963, 12236, 621, 269, 2991, 930, 8086, 267, 646, 4956, 547, 1289, 14216, 4459, 1394, 883, 1010, 5604, 780, 257, 32056, 4459, 267, 594, 1616, 547, 23294, 1125, 585, 1250, 3355, 3210, 2437, 6004, 269, 16399, 3459, 269, 834, 5475, 3206, 827, 621, 811, 267, 594, 8275, 602, 596, 798, 8197, 17330, 513, 6318, 269, 2659, 2182, 960, 814, 711, 8854, 29462, 267, 543, 594, 993, 24330, 676, 707, 8990, 3010, 32056, 4459, 729, 28280, 855, 936, 2809, 539, 269, 1261, 9684, 539, 6004, 269, 16399, 1527, 2224, 569, 543, 16219, 547, 3136, 20678, 585, 17284, 269, 3245, 1287, 593, 267, 646, 1500, 2386, 547, 5968, 5693, 543, 3927, 609, 1010, 2706, 12542, 267, 4180, 789, 6956, 519, 2407, 9165, 540, 1010, 7418, 780, 7437, 713, 1995, 267, 14216, 4459, 4121, 519, 2956, 540, 2312, 2792, 543, 4259, 10853, 6788, 269, 1261, 849, 4362, 602, 3006, 2921, 4220, 666, 1291, 547, 2462, 12587, 269, 1306, 585, 6004, 269, 16399, 267, 646, 6591, 16012, 2463, 585, 14216, 4459, 781, 6043, 543, 11428, 269, 1635, 9301, 14216, 4459, 781, 1871, 267, 646, 27838, 513, 6793, 2078, 1063, 873, 543, 5818, 539, 27907, 2429, 519, 2754, 269, 0, 2237, 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 ]
[ 1759, 538, 519, 840, 2739, 675, 3854, 540, 5651, 328, 24499, 630, 16954, 1637, 281, 476, 27768, 267, 15094, 1916, 296, 342, 622, 2776, 2739, 675, 910, 16797, 12700, 454, 347, 17413, 540, 19372, 618, 1475, 5908, 279, 2008, 18871, 777, 1388, 1475, 300, 9461, 24499, 1606, 6062, 630, 16954, 1637, 281, 476, 27768, 267, 15094, 10245, 347, 23175, 540, 6554, 1475, 307, 27495, 5984, 26800, 810, 2008, 347, 13707, 9351, 1475, 1428, 267, 29344, 13483, 5998, 630, 276, 267, 279, 4200, 13483, 5195, 10245, 347, 16954, 1637, 25670, 1475, 10844, 269, 278, 13483, 5998, 630, 13301, 269, 272, 13483, 5195, 10245, 307, 16781, 532, 593, 2622, 4263, 20393, 454, 763, 4107, 667, 836, 2730, 20079, 538, 519, 2622, 454, 763, 700, 17999, 18831, 538, 519, 2622, 454, 763, 476, 1015, 9540, 652, 18831, 769, 634, 2622, 454, 7197, 667, 836, 2730, 18831, 538, 519, 2622, 454, 3066, 700, 17999, 14022, 625, 769, 634, 2622, 454, 763, 26548, 4554, 18831, 769, 634, 2622, 454, 1015, 4107, 6250, 1243, 18831, 769, 634, 2622, 454, 1015, 2276, 2060, 634, 700, 17999, 3979, 12677, 7377, 2827, 454, 1432, 12292, 14970, 769, 634, 8835, 14175, 10809, 286, 0, 1607, 2022, 3568, 8835, 10500, 559, 5573, 6402, 563, 296, 3773, 19594, 10965, 2803, 2201, 547, 1250, 5399, 513, 7008, 540, 3275, 3516, 2507, 296, 6557, 711, 2386, 875, 594, 4769, 1406, 2907, 1378, 621, 269, 1924, 596, 917, 1018, 338, 1985, 16634, 320, 17142, 540, 15813, 2238, 547, 979, 609, 621, 256, 594, 1705, 513, 1433, 13959, 936, 5162, 2736, 543, 3773, 621, 547, 1250, 570, 8976, 4558, 267, 855, 993, 1175, 1631, 3478, 519, 4960, 547, 1694, 1524, 543, 5816, 827, 621, 269, 1411, 1058, 1294, 1250, 1677, 11298, 1592, 269, 898, 779, 22916, 20136, 17142, 568, 27613, 1413, 2147, 547, 519, 824, 19594, 1433, 15274, 594, 723, 2944, 269, 1403, 621, 513, 514, 1406, 13264, 7498, 268, 594, 1705, 1118, 519, 476, 280, 1915, 6486, 5594, 8273, 585, 713, 835, 269, 1411, 666, 946, 891, 585, 10503, 267, 5635, 270, 4186, 2858, 267, 11008, 1944, 267, 1427, 749, 267, 3092, 563, 268, 476, 3953, 681, 1506, 2719, 21998, 267, 7132, 10145, 6486, 865, 596, 543, 707, 1053, 666, 2097, 909, 609, 707, 1378, 6586, 2719, 8424, 2336, 268, 476, 866, 5426, 476, 272, 24366, 21998, 602, 1331, 1079, 2626, 5079, 19610, 609, 513, 4605, 267, 799, 568, 3501, 585, 707, 2539, 1377, 1053, 563, 268, 476, 2537, 5426, 476, 273, 24366, 21998, 267, 7132, 10145, 6486, 563, 268, 476, 1556, 6486, 547, 5311, 519, 1650, 609, 269, 594, 2648, 1210, 713, 607, 513, 1895, 2534, 543, 15603, 519, 3214, 960, 1927, 547, 2322, 873, 538, 519, 2953, 1931, 563, 268, 476, 279, 18500, 21998, 547, 3077, 6863, 689, 519, 1650, 538, 5220, 609, 2789, 3903, 269, 6884, 594, 1224, 891, 1510, 4758, 519, 2875, 519, 2789, 3903, 3681, 267, 1175, 547, 1118, 621, 513, 2362, 1377, 2534, 543, 519, 2875, 1590, 2491, 519, 2262, 779, 2495, 10446, 269, 1411, 666, 849, 723, 873, 1118, 741, 1378, 5220, 609, 519, 2262, 1310, 11264, 519, 3556, 563, 268, 476, 1240, 4165, 7716, 21998, 547, 2259, 1727, 657, 2572, 609, 6863, 689, 519, 1650, 269, 1411, 1223, 798, 12805, 610, 3619, 12551, 609, 891, 585, 930, 1187, 2336, 268, 32040, 590, 15659, 4223, 547, 3077, 2504, 540, 1142, 8231, 689, 519, 1650, 538, 519, 2953, 13029, 269, 901, 568, 4440, 1250, 5172, 2534, 538, 519, 17142, 269, 11408, 513, 1434, 4161, 2336, 268, 594, 3769, 476, 1321, 8617, 7638, 2125, 543, 476, 1321, 7054, 10585, 7638, 2125, 547, 2259, 563, 268, 476, 1321, 2920, 898, 4934, 6863, 6486, 2507, 11004, 616, 930, 30861, 1913, 538, 713, 1650, 602, 596, 666, 946, 547, 4001, 2495, 676, 9117, 856, 269, 901, 786, 581, 513, 1007, 2534, 543, 594, 993, 3168, 4464, 547, 1210, 621, 269, 594, 1544, 547, 798, 1945, 2147, 547, 1347, 3547, 269, 594, 849, 3769, 930, 10145, 6486, 1934, 585, 3606, 1913, 596, 1522, 899, 547, 3077, 563, 268, 595, 10248, 16176, 4148, 1389, 24305, 1299, 15147, 2507, 10472, 568, 835, 540, 1250, 5172, 1930, 8694, 2238, 602, 594, 666, 6292, 609, 519, 1657, 3077, 6486, 269, 1703, 568, 513, 2681, 4528, 267, 607, 1134, 607, 513, 3109, 543, 3043, 269, 1411, 1223, 849, 946, 621, 607, 513, 5066, 543, 2681, 267, 519, 3214, 1223, 1175, 2681, 538, 519, 5858, 609, 513, 22916, 517, 610, 15262, 3079, 540, 8720, 609, 513, 13863, 563, 268, 7046, 7736, 539, 8274, 10794, 269, 23875, 16681, 1934, 563, 268, 18040, 7726, 28116, 568, 1187, 585, 8026, 6998, 2055, 256, 1411, 1223, 849, 946, 621, 585, 16460, 1650, 2609, 1644, 547, 519, 2243, 2262, 563, 268, 634, 1603, 2985, 568, 10145, 585, 596, 547, 2097, 909, 609, 707, 1378, 5401, 269, 1703, 568, 2230, 547, 2328, 543, 2721, 563, 268, 10886, 18948, 966, 3317, 12810, 269, 594, 2356, 946, 713, 609, 1915, 6486, 267, 855, 596, 666, 849, 946, 824, 2609, 689, 519, 1650, 267, 899, 12405, 267, 4365, 267, 4606, 267, 3092, 563, 268, 9452, 4825, 749, 585, 707, 1053, 547, 960, 593, 2854, 6386, 563, 268, 9452, 10934, 585, 7114, 1650, 2609, 563, 6546, 779, 782, 1352, 5206, 256, 594, 4126, 596, 16921, 899, 621, 256, 0, 293, 18432, 26900, 4386, 10393, 267, 1419, 1510, 9963, 269, 11916, 19183, 540, 11132, 26900, 267, 666, 711, 2673, 707, 4064, 267, 3368, 540, 1010, 3068, 1793, 871, 267, 5186, 12097, 5023, 267, 5323, 565, 532, 267, 1216, 344, 4064, 267, 32071, 4900, 666, 711, 12740, 267, 1274, 1928, 269, 11120, 658, 26900, 4524, 7488, 540, 4008, 543, 2085, 267, 519, 1034, 12155, 547, 5162, 269, 634, 29164, 1974, 568, 2356, 827, 513, 3018, 1354, 519, 12614, 2550, 267, 3622, 1310, 676, 519, 4411, 610, 3579, 30089, 25738, 1686, 540, 1274, 2068, 267, 930, 2550, 1354, 519, 12614, 540, 1274, 1928, 610, 1274, 4374, 267, 849, 538, 2550, 609, 26043, 609, 513, 3120, 2589, 563, 2252, 596, 1205, 12905, 2126, 540, 11132, 26900, 23567, 568, 2356, 1434, 267, 5111, 476, 3583, 260, 540, 2600, 540, 2550, 666, 7930, 9156, 610, 12115, 538, 476, 273, 268, 277, 4374, 269, 1403, 711, 5701, 16425, 267, 519, 11132, 8229, 4887, 1599, 6051, 568, 711, 2347, 267, 972, 786, 581, 11132, 26900, 1310, 13716, 338, 267, 971, 607, 11132, 4887, 693, 15577, 267, 3368, 3068, 9395, 267, 3068, 27390, 547, 835, 2427, 543, 865, 593, 267, 519, 2427, 540, 519, 3750, 29252, 19479, 269, 1452, 616, 519, 8188, 26900, 3524, 601, 2801, 563, 293, 18432, 26900, 2068, 568, 3361, 676, 513, 3099, 540, 1480, 8290, 267, 4611, 538, 3441, 547, 519, 11132, 8229, 267, 8411, 4345, 2242, 267, 29769, 545, 30046, 267, 610, 1256, 1689, 519, 11132, 8229, 23979, 267, 4929, 4887, 5160, 4478, 513, 14715, 2068, 609, 8795, 5232, 540, 3954, 3569, 7613, 1547, 634, 1646, 540, 519, 2068, 543, 1082, 3676, 267, 972, 568, 606, 8650, 11636, 3942, 267, 1572, 2038, 538, 519, 2068, 563, 6624, 11132, 26900, 2550, 538, 713, 1974, 585, 2126, 269, 4438, 713, 1974, 267, 519, 4110, 540, 14524, 540, 519, 11132, 8229, 5945, 267, 519, 4110, 540, 4887, 5160, 1472, 519, 8229, 543, 2530, 616, 693, 12871, 689, 1769, 547, 5230, 1184, 540, 4028, 1646, 538, 713, 1974, 666, 581, 2016, 952, 519, 2953, 22591, 666, 2731, 4309, 5266, 1434, 1198, 267, 543, 547, 2110, 523, 519, 1576, 267, 621, 4249, 606, 1271, 1909, 538, 5355, 519, 10826, 2557, 267, 10834, 602, 22591, 2126, 540, 11132, 26900, 2068, 998, 2038, 6304, 666, 2569, 3644, 14001, 12289, 11610, 30281, 8411, 12792, 2242, 543, 30046, 267, 2087, 29769, 545, 1533, 267, 23646, 543, 1225, 6883, 2068, 3466, 267, 607, 4166, 607, 2009, 547, 3035, 519, 3483, 540, 16795, 14317, 269, 1656, 1346, 945, 723, 14406, 519, 2038, 2126, 540, 2550, 267, 2523, 693, 2362, 27295, 3644, 14796, 8229, 10126, 543, 18219, 2550, 267, 711, 1152, 3500, 6051, 267, 3476, 8653, 267, 543, 1317, 540, 519, 11132, 8229, 5945, 4049, 267, 1256, 547, 519, 6708, 540, 3954, 4405, 566, 267, 519, 3803, 666, 711, 4625, 10826, 3524, 601, 2801, 3337, 267, 10834, 602, 22591, 2126, 540, 11132, 26900, 2068, 609, 2038, 6304, 1732, 563, 11854, 1136, 689, 519, 2596, 3069, 540, 2757, 4457, 4915, 22591, 2126, 540, 11132, 26900, 2038, 6304, 568, 538, 1899, 609, 2757, 4457, 4915, 1312, 3676, 4550, 268, 4219, 540, 2093, 267, 855, 849, 5129, 513, 1909, 538, 519, 2038, 22591, 2126, 4162, 269, 4475, 649, 666, 2161, 568, 519, 1655, 942, 11132, 26900, 2038, 22591, 2126, 563, 414, 495, 510, 267, 519, 8650, 5123, 267, 519, 11841, 1369, 835, 3018, 269, 901, 6553, 540, 519, 11132, 8229, 30046, 11144, 269, 901, 1974, 540, 9864, 11132, 26900, 22591, 2126, 538, 1447, 1035, 1575, 2002, 338, 267, 1058, 581, 13719, 588, 629, 267, 4617, 14242, 267, 610, 2199, 1875, 14092, 1575, 2002, 338, 1035, 1575, 2002, 338, 543, 547, 1246, 676, 2484, 519, 1292, 2126, 267, 1434, 1852, 540, 519, 2068, 11144, 269, 901, 1974, 547, 2057, 2178, 14242, 267, 13657, 661, 288, 630, 19491, 549, 23741, 6293, 264, 2126, 563, 414, 495, 350, 267, 6051, 267, 942, 540, 12614, 538, 476, 272, 268, 275, 4374, 269, 3600, 17815, 2126, 540, 11132, 26900, 4299, 1858, 22591, 2798, 543, 1035, 1575, 2002, 338, 2404, 609, 7755, 340, 2779, 2126, 689, 8585, 22941, 30218, 1439, 267, 713, 1974, 568, 513, 2565, 942, 540, 2126, 540, 11132, 26900, 563, 414, 495, 351, 267, 3524, 601, 2801, 269, 634, 11841, 540, 1614, 3275, 547, 811, 982, 3670, 3275, 630, 516, 11734, 1063, 835, 3923, 547, 1614, 3275, 1040, 901, 1974, 540, 4049, 267, 703, 847, 762, 4713, 22591, 2620, 14047, 675, 267, 998, 8559, 610, 661, 288, 547, 2333, 519, 2179, 540, 14242, 267, 543, 538, 13076, 609, 3524, 601, 2801, 899, 31916, 2824, 2798, 267, 609, 513, 3099, 540, 11257, 267, 972, 568, 1869, 930, 6051, 2962, 454, 4322, 616, 519, 2489, 3268, 585, 22591, 2126, 269, 1530, 523, 538, 2259, 581, 14661, 4470, 593, 519, 2783, 540, 519, 3461, 269, 9122, 593, 1250, 1995, 540, 2126, 540, 11132, 26900, 267, 538, 1142, 22591, 2126, 267, 609, 1973, 2280, 1154, 22591, 666, 2087, 519, 9354, 1198, 267, 2110, 523, 519, 2126, 1974, 269, 6176, 827, 519, 22591, 2126, 540, 11132, 26900, 267, 5225, 3643, 938, 3896, 693, 8940, 269, 611, 11253, 728, 659, 17815, 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 ]
[ 274, 6021, 268, 3393, 280, 268, 278, 9899, 257, 299, 17670, 14824, 7818, 268, 272, 268, 2568, 274, 6021, 268, 29900, 268, 274, 9899, 257, 16446, 623, 7701, 543, 9855, 19594, 14824, 7818, 268, 272, 268, 2568, 274, 6021, 268, 5379, 272, 268, 271, 9899, 257, 763, 6997, 257, 10926, 258, 589, 14594, 547, 11835, 630, 25835, 281, 476, 7818, 268, 272, 268, 2568, 274, 6021, 268, 3393, 273, 268, 279, 994, 258, 700, 17670, 630, 25835, 281, 476, 7818, 268, 272, 268, 2568, 274, 6021, 268, 3393, 280, 268, 278, 994, 258, 4414, 623, 7701, 543, 9855, 19594, 630, 25835, 281, 476, 7818, 268, 272, 268, 2568, 274, 6021, 268, 29900, 268, 274, 994, 258, 634, 6997, 630, 25835, 281, 476, 7818, 268, 272, 268, 2568, 274, 6021, 268, 5379, 272, 268, 271, 2020, 1721, 1775, 538, 546, 545, 269, 12399, 10031, 825, 1820, 6600, 262, 346, 328, 348, 630, 25835, 281, 2715, 323, 545, 5157, 316, 16585, 262, 9239, 258, 17179, 519, 1883, 17032, 6292, 609, 1883, 476, 7818, 268, 272, 268, 2568, 274, 6021, 268, 29900, 268, 274, 454, 23437, 546, 545, 14277, 7818, 268, 272, 268, 2568, 274, 6021, 268, 29900, 268, 274, 31116, 258, 17179, 519, 1883, 17032, 6292, 609, 1871, 634, 6997, 454, 1721, 1775, 538, 546, 545, 269, 12399, 10031, 825, 952, 546, 545, 5157, 316, 2652, 1412, 763, 6997, 12466, 1038, 1642, 546, 545, 5157, 2639, 1038, 2736, 454, 28744, 5560, 545, 994, 258, 5410, 519, 1739, 1883, 17032, 8424, 547, 519, 4786, 454, 258, 6206, 453, 19368, 454, 258, 476, 7818, 268, 272, 268, 2568, 274, 6021, 268, 14596, 268, 275, 453, 5445, 595, 6817, 2974, 2037, 5519, 454, 258, 476, 7818, 268, 272, 268, 2568, 274, 6021, 268, 28526, 268, 276, 453, 3963, 9894, 1284, 11565, 13924, 888, 323, 545, 14277, 7818, 268, 272, 268, 2568, 274, 6021, 268, 14596, 268, 275, 19312, 815, 834, 5445, 595, 6817, 2974, 2037, 5519, 4840, 323, 545, 14277, 7818, 268, 272, 268, 2568, 274, 6021, 268, 28526, 268, 276, 19312, 815, 834, 3963, 9894, 1284, 11565, 13924, 4840, 258, 7179, 2436, 972, 568, 606, 2404, 1871, 609, 1883, 476, 275, 4281, 268, 271, 268, 277, 1556, 6795, 268, 275, 2190, 268, 279, 610, 711, 692, 604, 834, 275, 4281, 268, 271, 268, 277, 1556, 6795, 268, 275, 2190, 268, 279, 257, 538, 546, 545, 269, 12399, 10031, 825, 1820, 5560, 545, 14277, 275, 4281, 268, 271, 268, 277, 1556, 6795, 268, 275, 2190, 268, 279, 257, 8079, 8528, 258, 7179, 519, 1871, 2404, 609, 1883, 476, 7818, 268, 272, 268, 2568, 274, 6021, 268, 28526, 268, 276, 454, 2745, 5560, 545, 14277, 7818, 268, 272, 268, 2568, 274, 6021, 268, 28526, 268, 276, 257, 8079, 0, 323, 8667, 815, 314, 454, 825, 834, 3712, 320, 20350, 825, 834, 4248, 4840, 6540, 339, 787, 912, 825, 4994, 815, 703, 9272, 2891, 31170, 8119, 11723, 21955, 12039, 13286, 912, 825, 1820, 2891, 16282, 16282, 16282, 15419, 21955, 28759, 912, 825, 1820, 2891, 653, 653, 653, 653, 15419, 325, 3373, 912, 825, 1820, 2891, 10472, 786, 2141, 2196, 257, 9239, 2745, 2891, 12711, 12711, 12711, 12711, 257, 9239, 3698, 1039, 5416, 14720, 2187, 825, 952, 568, 27349, 5416, 267, 842, 264, 543, 568, 27349, 6357, 267, 842, 2187, 1038, 2132, 513, 1341, 536, 454, 825, 6318, 7392, 13286, 7531, 339, 787, 912, 825, 1820, 263, 5417, 2891, 320, 14824, 321, 27363, 21955, 7392, 13286, 912, 825, 1820, 2891, 21542, 6758, 553, 15419, 5035, 3733, 13286, 263, 2750, 4003, 2187, 825, 1219, 6449, 8181, 13090, 263, 1345, 2187, 1038, 2706, 14061, 1029, 8181, 1029, 4590, 8931, 571, 1047, 3733, 13286, 0, 12163, 24961, 4367, 476, 272, 454, 2171, 616, 2469, 547, 1404, 609, 7851, 269, 18461, 1863, 547, 946, 519, 3710, 2987, 2409, 1141, 2009, 780, 8620, 606, 8900, 4786, 1141, 519, 10569, 616, 9981, 543, 519, 2418, 616, 3197, 692, 19530, 856, 2436, 519, 4786, 568, 8900, 610, 711, 692, 11754, 519, 1739, 1883, 17032, 8424, 547, 519, 4786, 692, 7659, 453, 19368, 454, 9032, 453, 320, 454, 7176, 453, 321, 454, 4200, 453, 322, 454, 4792, 453, 288, 454, 5780, 453, 289, 454, 6858, 453, 290, 454, 19530, 782, 519, 10569, 692, 19530, 782, 519, 2418, 692, 11754, 1871, 667, 609, 519, 1883, 476, 6924, 692, 19530, 875, 1082, 1883, 17032, 8424, 616, 538, 519, 4786, 692, 19530, 519, 1871, 602, 568, 2404, 609, 1883, 476, 4200, 692, 7230, 913, 519, 1883, 17032, 6292, 1141, 609, 1883, 476, 9032, 692, 19530, 2436, 972, 568, 606, 2404, 1871, 609, 1883, 476, 1911, 610, 711, 692, 7230, 913, 782, 519, 1883, 17032, 8424, 454, 12163, 323, 545, 815, 31460, 2745, 5560, 545, 2020, 4486, 815, 476, 9032, 454, 1721, 1775, 538, 2039, 263, 274, 2187, 825, 546, 545, 314, 4486, 316, 815, 669, 337, 31107, 994, 825, 1883, 6834, 476, 272, 454, 4486, 815, 476, 4792, 454, 1721, 1775, 538, 2039, 263, 274, 2187, 825, 546, 545, 314, 4486, 316, 815, 669, 337, 31107, 994, 825, 1883, 6834, 476, 272, 692, 2745, 5560, 545, 269, 12399, 15405, 2745, 5560, 545, 29096, 31156, 323, 545, 314, 6924, 316, 815, 1412, 291, 28847, 2745, 12759, 5560, 545, 269, 12399, 3890, 11723, 23437, 546, 545, 314, 9032, 6540, 604, 476, 1911, 538, 546, 545, 269, 12399, 10031, 825, 1820, 2891, 1911, 568, 513, 1883, 5602, 12828, 912, 825, 1820, 2891, 1911, 568, 711, 513, 1883, 8442, 8528, 323, 545, 269, 27234, 3890, 0, 5228, 705, 322, 1104, 13235, 300, 9508, 267, 7493, 24709, 454, 5035, 12551, 912, 825, 7711, 629, 5724, 24709, 454, 825, 1219, 6449, 8181, 9191, 1345, 267, 4067, 815, 257, 2580, 7076, 815, 476, 1015, 267, 10233, 815, 834, 2580, 338, 4671, 8548, 9078, 1601, 815, 8771, 2187, 1038, 1582, 20508, 815, 2012, 454, 1038, 1582, 269, 7076, 815, 2597, 454, 1038, 1582, 269, 10233, 815, 2681, 454, 1038, 1582, 11075, 677, 318, 3410, 8548, 25514, 9078, 1601, 815, 521, 4671, 8548, 9078, 1601, 454, 825, 7711, 629, 5724, 24709, 454, 825, 1219, 3049, 4311, 2187, 1038, 1780, 692, 5035, 595, 31500, 8127, 263, 293, 880, 2187, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 2706, 14061, 1029, 8181, 1029, 2891, 290, 31500, 8127, 2580, 274, 2437, 560, 686, 701, 2681, 5602, 8931, 825, 1219, 3049, 4311, 2187, 1038, 1582, 269, 7076, 6834, 476, 272, 454, 1038, 2132, 476, 272, 692, 5035, 19358, 263, 293, 880, 2187, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 2706, 14061, 1029, 8181, 1029, 2891, 307, 836, 2580, 12148, 994, 8931, 825, 1219, 3049, 4311, 2187, 1038, 1582, 269, 7076, 6834, 476, 272, 454, 1038, 2132, 476, 272, 692, 5035, 15158, 263, 293, 880, 2187, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 2706, 14061, 1029, 8181, 1029, 2891, 298, 16211, 5602, 8931, 825, 1219, 3049, 4311, 2187, 1038, 1582, 269, 7076, 6834, 476, 273, 454, 1038, 2132, 476, 273, 692, 5035, 13985, 10740, 10031, 825, 1219, 6449, 8181, 9191, 1345, 267, 325, 8460, 815, 32582, 2187, 1038, 1582, 8807, 8460, 815, 24991, 22562, 825, 1219, 1039, 6958, 880, 4311, 267, 8127, 2187, 1038, 1582, 8807, 8460, 6910, 6600, 880, 994, 8931, 825, 1219, 3548, 318, 293, 880, 4311, 2187, 1038, 1582, 8807, 8460, 815, 1496, 8127, 585, 3165, 538, 1582, 8807, 8460, 952, 3165, 269, 7076, 3436, 476, 1556, 2639, 8931, 825, 1219, 3049, 4311, 267, 25988, 2187, 1038, 585, 3165, 538, 1582, 8807, 8460, 912, 2018, 1426, 20699, 3165, 8807, 3975, 10797, 825, 1219, 1205, 1805, 9850, 4311, 2187, 1038, 585, 3165, 538, 1582, 8807, 8460, 912, 2018, 1820, 6600, 257, 346, 8127, 20508, 9574, 2597, 281, 2715, 8127, 269, 7076, 348, 5602, 0, 258, 18827, 454, 258, 8073, 513, 1982, 602, 666, 1039, 1079, 14290, 1927, 780, 258, 839, 675, 1482, 7516, 3097, 3698, 14290, 318, 13765, 263, 3901, 318, 272, 267, 3901, 318, 273, 2187, 825, 1319, 318, 272, 32284, 815, 7003, 263, 3901, 318, 272, 994, 825, 1319, 318, 273, 32284, 815, 7003, 263, 3901, 318, 273, 994, 825, 952, 1319, 318, 272, 32284, 11203, 1319, 318, 273, 32284, 281, 3097, 1038, 1820, 2891, 323, 604, 4737, 5602, 1038, 2132, 8771, 454, 825, 1319, 318, 272, 22674, 815, 7003, 263, 3901, 318, 272, 314, 271, 7481, 825, 585, 1775, 538, 1319, 318, 272, 912, 1038, 952, 7003, 9217, 264, 11203, 1319, 318, 272, 22674, 912, 2018, 1820, 2891, 323, 604, 897, 338, 538, 1319, 272, 5602, 2018, 2132, 8771, 454, 825, 1319, 318, 273, 22674, 815, 7003, 263, 3901, 318, 273, 314, 271, 7481, 825, 585, 1775, 538, 1319, 318, 273, 912, 1038, 952, 7003, 9217, 264, 11203, 1319, 318, 273, 22674, 912, 2018, 1820, 2891, 323, 604, 897, 338, 538, 1319, 273, 5602, 2018, 2132, 8771, 454, 825, 952, 1319, 318, 272, 22674, 11203, 1319, 318, 273, 22674, 912, 1038, 1820, 2891, 323, 604, 897, 338, 5602, 1038, 2132, 8771, 454, 825, 2132, 6936, 692, 3698, 14290, 318, 5417, 263, 3901, 318, 272, 2073, 1319, 318, 273, 2187, 825, 32102, 815, 11713, 825, 31575, 815, 11713, 825, 952, 14290, 318, 13765, 263, 3901, 318, 272, 267, 3901, 318, 273, 2187, 1038, 585, 4737, 538, 2039, 12759, 263, 3901, 318, 272, 15892, 2018, 585, 897, 538, 2039, 12759, 263, 3901, 318, 272, 314, 271, 8079, 2187, 3546, 31575, 6910, 263, 3901, 318, 272, 314, 992, 6012, 3712, 316, 1341, 1319, 318, 273, 314, 992, 6012, 3712, 7481, 2018, 32102, 6910, 6025, 5404, 994, 2018, 31575, 815, 11713, 1038, 2132, 32102, 3097, 825, 3116, 912, 1038, 1820, 2891, 3591, 349, 267, 921, 848, 2638, 707, 1319, 3898, 5602, 1038, 2132, 910, 272, 8528, 3901, 318, 272, 815, 20886, 272, 267, 273, 267, 274, 267, 275, 267, 276, 25662, 274, 267, 273, 267, 275, 267, 276, 267, 277, 25662, 272, 267, 273, 267, 274, 267, 2537, 267, 275, 25662, 271, 267, 272, 267, 273, 267, 274, 267, 276, 27663, 3901, 318, 273, 815, 20886, 272, 267, 273, 267, 274, 267, 275, 267, 276, 25662, 274, 267, 273, 267, 275, 267, 276, 267, 277, 25662, 272, 267, 273, 267, 274, 267, 2537, 267, 275, 25662, 274, 267, 273, 267, 275, 267, 276, 267, 277, 27663, 3901, 318, 274, 815, 20886, 272, 267, 273, 267, 274, 267, 275, 267, 276, 25662, 272, 267, 273, 267, 274, 267, 2537, 267, 275, 27663, 3901, 318, 275, 815, 20886, 272, 267, 273, 267, 274, 267, 2537, 267, 275, 25662, 274, 267, 273, 267, 275, 267, 276, 27663, 11687, 6831, 1162, 17342, 3901, 318, 272, 267, 3901, 318, 273, 267, 3901, 318, 274, 267, 3901, 318, 275, 2639, 2745, 263, 3901, 4631, 318, 5417, 263, 3901, 318, 272, 267, 3901, 318, 273, 4297, 1948, 29019, 1820, 4397, 1267, 454, 2745, 263, 3901, 4631, 318, 5417, 263, 3901, 318, 272, 267, 3901, 318, 274, 4297, 1948, 695, 537, 548, 1820, 834, 3591, 349, 4840, 2745, 263, 2745, 263, 3901, 4631, 318, 5417, 263, 3901, 318, 272, 267, 3901, 318, 275, 30727, 1948, 29019, 1820, 834, 4068, 326, 601, 3898, 257, 1363, 8528, 8931, 1363, 0, 258, 8073, 513, 1505, 602, 1232, 7973, 338, 519, 5918, 6088, 7302, 1513, 17902, 692, 3698, 1232, 7973, 6600, 32327, 2187, 825, 3758, 815, 1930, 6600, 32327, 2437, 337, 266, 5602, 825, 1232, 1712, 18316, 815, 1930, 2891, 290, 281, 11138, 5825, 619, 11138, 305, 599, 318, 313, 28702, 11138, 13582, 325, 2135, 11138, 4462, 545, 1941, 11920, 320, 11138, 15553, 268, 6349, 11138, 1485, 268, 6349, 11138, 4765, 19302, 17902, 14824, 342, 266, 5602, 825, 585, 1899, 538, 3758, 18667, 6050, 10031, 1038, 5569, 815, 834, 4840, 1038, 585, 1775, 538, 2039, 263, 271, 267, 6352, 263, 1467, 1070, 273, 2187, 2018, 5569, 6834, 1899, 5157, 2639, 1038, 1232, 1712, 18316, 22182, 30415, 994, 825, 3758, 25379, 4590, 825, 1232, 1712, 18316, 25379, 10797, 12803, 12173, 815, 834, 290, 281, 11138, 5825, 619, 11138, 305, 599, 318, 313, 28702, 11138, 13582, 325, 2135, 11138, 4462, 545, 1941, 11920, 320, 11138, 15553, 268, 6349, 11138, 1485, 268, 6349, 11138, 29602, 17902, 4840, 20657, 7973, 31526, 12173, 264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5932, 30811, 3270, 6273, 676, 2470, 267, 12166, 5546, 267, 543, 2757, 6698, 269, 6733, 693, 891, 5961, 540, 3733, 1258, 623, 14397, 1695, 779, 18234, 7108, 3397, 622, 661, 1551, 902, 1765, 13873, 1406, 789, 32154, 286, 5994, 9849, 1945, 865, 2189, 543, 6209, 2439, 21026, 8054, 2881, 638, 18857, 14446, 6585, 513, 2027, 1747, 1851, 19216, 1813, 547, 922, 7524, 4778, 543, 3140, 4644, 269, 5695, 638, 18857, 267, 513, 4544, 25984, 7777, 267, 814, 1279, 1044, 19644, 676, 7111, 1977, 4529, 585, 922, 678, 10846, 543, 5898, 269, 10705, 2404, 609, 6607, 543, 1216, 267, 2881, 638, 18857, 23327, 7067, 267, 4027, 267, 543, 7326, 269, 3509, 4207, 13049, 619, 3136, 547, 6451, 713, 17028, 7458, 1570, 883, 741, 2413, 25704, 780, 2691, 3695, 7111, 1977, 14446, 267, 1832, 538, 2247, 602, 1142, 14316, 814, 922, 3982, 2511, 543, 2553, 269, 2368, 1455, 2010, 540, 14446, 1331, 8405, 331, 2167, 267, 25231, 7410, 267, 14034, 267, 20382, 267, 543, 1274, 337, 902, 269, 7324, 519, 1034, 11599, 616, 23601, 19806, 558, 8405, 331, 2167, 267, 598, 11155, 26797, 267, 543, 646, 31381, 19273, 269, 2913, 781, 1491, 513, 6251, 1413, 693, 930, 540, 891, 6163, 1384, 272, 269, 8293, 1662, 2349, 1601, 558, 3026, 1188, 331, 864, 281, 901, 2442, 1374, 2934, 513, 524, 29266, 11057, 20805, 656, 1572, 513, 968, 333, 24652, 892, 11303, 676, 27536, 6438, 3334, 23401, 23601, 32395, 269, 15380, 1500, 540, 8988, 543, 3006, 934, 5034, 609, 2881, 638, 18857, 267, 891, 17715, 8405, 331, 2167, 12090, 538, 519, 3735, 476, 5197, 271, 338, 563, 273, 269, 1230, 11155, 25028, 281, 7880, 3215, 689, 5053, 7810, 7506, 267, 598, 11155, 26797, 2874, 540, 16560, 24814, 610, 9764, 10824, 5532, 1927, 676, 16463, 2269, 1186, 269, 27603, 12816, 676, 2367, 267, 598, 577, 657, 941, 7620, 6752, 539, 856, 540, 8988, 11113, 1354, 9687, 883, 811, 14969, 6272, 10023, 1266, 9545, 902, 267, 16826, 902, 267, 543, 538, 331, 4660, 10007, 563, 274, 269, 1261, 31381, 645, 1737, 338, 281, 9540, 267, 12210, 11057, 19273, 18705, 676, 5969, 6094, 21100, 540, 7387, 267, 5642, 267, 610, 6149, 543, 1287, 17656, 9475, 585, 5569, 532, 269, 1261, 31381, 19273, 3180, 1390, 2686, 2956, 2066, 1896, 3162, 13523, 11031, 543, 2611, 8179, 1310, 2221, 780, 2026, 596, 666, 1294, 267, 972, 568, 1454, 547, 5660, 827, 7111, 1977, 14446, 256, 3245, 3504, 20297, 547, 2413, 12496, 267, 891, 9159, 4773, 2099, 15851, 16782, 5293, 1524, 998, 5481, 269, 6787, 8098, 3931, 873, 538, 15882, 267, 26847, 267, 610, 4357, 10070, 267, 3314, 602, 1169, 4062, 6645, 513, 1650, 12544, 9661, 18955, 689, 2245, 267, 5876, 267, 543, 27527, 585, 2067, 5898, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 299, 599, 589, 10158, 9796, 906, 616, 15528, 910, 11910, 721, 585, 3877, 910, 476, 8517, 476, 5379, 273, 476, 5952, 274, 277, 12275, 1633, 781, 568, 1753, 547, 835, 540, 519, 20923, 10070, 540, 24956, 545, 7111, 1977, 4035, 601, 787, 543, 18937, 26953, 681, 13903, 269, 5510, 1359, 519, 4102, 4015, 540, 519, 20923, 543, 5207, 2298, 540, 29586, 6575, 267, 12725, 21433, 689, 938, 3162, 13523, 11031, 282, 18937, 26953, 267, 2098, 27376, 267, 14929, 328, 267, 16114, 334, 667, 4040, 334, 267, 28833, 269, 8729, 269, 681, 4474, 689, 7199, 570, 858, 1415, 4773, 547, 1269, 276, 268, 7785, 17860, 4154, 1274, 337, 902, 269, 23414, 7728, 11550, 23604, 4811, 3733, 1258, 623, 14397, 1695, 18234, 7108, 3397, 622, 661, 1551, 902, 1269, 476, 27151, 269, 876, 8176, 700, 565, 5448, 18234, 7108, 11638, 12942, 623, 754, 656, 25663, 291, 8176, 700, 565, 5448, 18234, 7108, 11638, 12942, 661, 1551, 902, 1452, 616, 711, 7907, 689, 799, 5898, 20950, 269, 25763, 5695, 638, 18857, 4035, 601, 787, 910, 22731, 267, 24956, 545, 267, 7435, 18478, 267, 9400, 17578, 657, 773, 1101, 3357, 547, 3084, 23146, 538, 4989, 476, 3192, 280, 269, 7108, 267, 8988, 267, 4686, 2881, 638, 18857, 543, 14147, 723, 2141, 1044, 17077, 269, 1879, 519, 10766, 568, 1930, 267, 1745, 1863, 547, 2097, 593, 538, 256, 7435, 8154, 539, 4035, 601, 787, 5839, 781, 4095, 4035, 601, 787, 568, 606, 24956, 545, 7111, 1977, 4095, 14446, 4558, 609, 29586, 7111, 1977, 9925, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 297, 1168, 601, 787, 257, 607, 851, 540, 834, 3198, 2316, 27309, 1299, 23333, 28421, 2316, 13993, 2464, 1315, 18234, 267, 7108, 1299, 4033, 5450, 1023, 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, 6468, 781, 5525, 281, 589, 17714, 3414, 5384, 692, 7072, 912, 5331, 1373, 5143, 602, 596, 666, 1405, 1353, 1945, 1317, 540, 707, 4008, 269, 16319, 15490, 267, 1318, 286, 4270, 267, 713, 5949, 547, 1082, 6690, 543, 2021, 782, 936, 519, 1158, 2394, 711, 1932, 1279, 3516, 256, 2334, 781, 1141, 2021, 781, 2090, 2501, 883, 1404, 910, 513, 2027, 1858, 540, 1565, 602, 6212, 593, 519, 2729, 267, 2833, 267, 543, 10781, 540, 2021, 2429, 1686, 543, 2066, 4529, 269, 2913, 781, 7832, 593, 606, 3078, 3460, 998, 942, 543, 2263, 875, 2021, 781, 2090, 7960, 883, 1018, 621, 568, 2221, 2439, 6637, 476, 272, 281, 9966, 1076, 23548, 25751, 692, 763, 5072, 540, 2021, 781, 2090, 979, 1394, 547, 519, 3735, 476, 3422, 271, 338, 538, 519, 2136, 2276, 950, 1004, 3323, 15819, 1946, 972, 941, 15991, 1022, 2835, 827, 2021, 781, 7418, 547, 2486, 610, 741, 2189, 9620, 269, 901, 3366, 547, 519, 5137, 540, 2021, 781, 2090, 3292, 602, 6322, 693, 1620, 543, 5466, 891, 2152, 269, 1809, 1354, 649, 4685, 4514, 883, 519, 1650, 267, 1577, 781, 12172, 835, 3364, 1107, 950, 649, 2161, 834, 342, 1580, 781, 2090, 2437, 649, 1611, 1565, 827, 3388, 1644, 547, 2021, 267, 1519, 741, 2924, 267, 5107, 267, 18517, 267, 2591, 267, 543, 2686, 11269, 780, 6637, 476, 273, 281, 1975, 15105, 21661, 519, 31248, 692, 2026, 811, 2477, 2968, 3222, 540, 519, 2956, 540, 4974, 2021, 781, 2833, 267, 789, 3459, 12561, 2147, 3292, 269, 3245, 3127, 547, 12868, 267, 519, 2136, 2276, 547, 24063, 267, 3624, 547, 4516, 267, 543, 1256, 6251, 547, 1753, 538, 4025, 899, 15212, 267, 5245, 267, 4789, 267, 5527, 267, 3162, 4000, 267, 543, 3162, 9705, 1107, 2021, 781, 2090, 6591, 6284, 538, 9945, 10876, 676, 519, 2038, 8938, 23867, 2540, 269, 1717, 267, 930, 2477, 3576, 3476, 982, 1866, 547, 9784, 519, 1523, 269, 1280, 3236, 267, 1705, 596, 917, 602, 538, 5125, 267, 2021, 781, 2090, 7012, 1405, 13166, 17019, 607, 513, 5094, 2361, 540, 1353, 2394, 476, 2735, 273, 286, 6969, 1287, 267, 621, 1223, 1152, 581, 8268, 1282, 2027, 11925, 610, 4832, 5049, 2439, 6637, 476, 274, 281, 4208, 6496, 898, 17460, 2496, 2791, 1522, 4898, 267, 834, 3963, 798, 594, 991, 547, 1451, 827, 2021, 781, 2090, 952, 594, 6415, 711, 513, 8004, 8119, 4279, 2243, 256, 24356, 2021, 781, 2984, 2337, 721, 1174, 3368, 540, 8103, 1732, 1247, 849, 10223, 519, 1514, 543, 3140, 8658, 602, 723, 8032, 3025, 781, 2729, 267, 7488, 540, 4008, 269, 1879, 649, 1413, 693, 519, 2250, 609, 4195, 4064, 267, 649, 10625, 4241, 8941, 827, 7415, 2021, 945, 1500, 1713, 8906, 267, 11827, 1272, 19145, 4066, 267, 610, 10692, 1996, 8635, 269, 1656, 7058, 1018, 286, 1411, 949, 1265, 856, 602, 930, 540, 707, 5172, 31132, 267, 5159, 267, 610, 3401, 616, 2965, 2021, 2439, 6962, 1384, 3383, 1934, 649, 616, 267, 7555, 593, 519, 17525, 540, 23766, 1107, 12703, 2367, 543, 2523, 2021, 945, 546, 1563, 547, 4161, 14908, 543, 18796, 3160, 3255, 547, 1451, 543, 1332, 269, 3767, 602, 2021, 781, 2090, 814, 1831, 513, 4922, 7608, 4081, 9015, 267, 2104, 5481, 786, 3136, 30364, 689, 519, 4245, 4121, 543, 19325, 6913, 269, 5808, 6487, 267, 6148, 835, 1554, 9358, 786, 3565, 547, 713, 2479, 21608, 2361, 543, 948, 3337, 938, 7104, 1620, 540, 519, 1158, 1472, 721, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 24281, 922, 2110, 1686, 630, 5228, 519, 3735, 476, 3422, 271, 338, 538, 519, 2136, 2276, 264, 2021, 781, 2090, 814, 6410, 1472, 519, 1158, 607, 606, 2856, 267, 513, 1523, 267, 513, 2259, 267, 543, 6368, 513, 2361, 610, 674, 778, 630, 23389, 585, 20614, 610, 2361, 1040, 1306, 3735, 607, 476, 2735, 273, 538, 5125, 17793, 340, 523, 13231, 1756, 729, 711, 2808, 513, 674, 778, 543, 4061, 1223, 711, 581, 6594, 538, 519, 6280, 855, 1152, 538, 2027, 610, 4832, 6030, 269, 1635, 519, 2038, 14206, 2540, 2021, 781, 2090, 729, 6444, 538, 2362, 2069, 689, 3127, 547, 12868, 267, 689, 519, 2136, 2276, 547, 24063, 267, 3624, 547, 4516, 267, 15212, 547, 5245, 267, 4789, 547, 5527, 267, 3162, 4000, 547, 3162, 9705, 285, 310, 6865, 2894, 24202, 22295, 22494, 269, 769, 922, 2110, 1686, 630, 5228, 519, 3735, 476, 3422, 271, 338, 538, 519, 2136, 2276, 264, 2021, 781, 2090, 814, 6410, 1472, 519, 1158, 607, 606, 2856, 267, 513, 1523, 267, 513, 2259, 267, 543, 6368, 513, 2361, 610, 674, 778, 630, 23389, 585, 20614, 610, 2361, 1040, 1306, 3735, 607, 476, 2735, 273, 538, 5125, 17793, 340, 523, 13231, 1756, 729, 711, 2808, 513, 674, 778, 543, 4061, 1223, 711, 581, 6594, 538, 519, 6280, 855, 1152, 538, 2027, 610, 4832, 6030, 269, 1635, 519, 2038, 14206, 2540, 530, 334, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3796, 6236, 519, 6940, 540, 971, 3132, 609, 519, 2070, 547, 4180, 12825, 2333, 538, 6705, 685, 26038, 269, 1703, 616, 2185, 936, 268, 31186, 3853, 538, 1603, 713, 1957, 269, 634, 1101, 267, 543, 1034, 2596, 267, 568, 7234, 2591, 29270, 2799, 4264, 6683, 1426, 2504, 269, 634, 2034, 568, 7234, 519, 30343, 6940, 676, 19620, 543, 25137, 519, 2067, 4199, 3490, 267, 5883, 519, 8733, 543, 6848, 6940, 2152, 4448, 547, 519, 1646, 540, 1426, 7693, 2504, 676, 17306, 2773, 538, 4540, 11396, 543, 5355, 519, 4747, 2157, 540, 1507, 14516, 12696, 269, 634, 3791, 6662, 568, 547, 1865, 29014, 855, 5499, 9055, 540, 4464, 3168, 1935, 676, 9306, 513, 9621, 1259, 540, 2810, 1426, 2504, 30396, 269, 634, 30425, 540, 713, 1557, 786, 2253, 609, 513, 7139, 4084, 602, 705, 16466, 519, 2208, 540, 14713, 267, 1426, 1702, 543, 6940, 5133, 282, 513, 3296, 593, 2591, 29270, 19993, 7693, 2504, 547, 2743, 519, 2115, 540, 8103, 282, 513, 3296, 827, 1761, 2825, 543, 1514, 7156, 3435, 282, 513, 3296, 593, 4464, 3168, 1935, 543, 25759, 24616, 563, 1432, 1004, 616, 6031, 910, 3503, 513, 2689, 454, 2171, 10093, 1405, 1336, 1022, 8039, 538, 519, 8912, 4025, 563, 8448, 21820, 910, 7348, 782, 454, 13070, 1026, 5350, 5004, 989, 878, 19458, 16581, 5253, 13870, 989, 1258, 5669, 2853, 4911, 639, 14811, 25669, 3498, 540, 29436, 2275, 8707, 338, 4446, 529, 13206, 518, 2993, 4168, 18046, 24583, 531, 23342, 8013, 3902, 5491, 5238, 7693, 2504, 11483, 7644, 268, 8008, 6020, 3384, 11615, 30620, 12555, 2423, 2195, 4754, 13456, 8733, 543, 6848, 661, 12613, 3198, 308, 5085, 570, 4953, 292, 667, 2752, 298, 302, 7025, 1656, 4317, 28246, 18309, 7520, 12426, 5842, 2787, 7612, 16027, 2516, 1426, 7693, 1426, 3354, 4464, 3168, 1935, 19168, 2518, 2344, 2518, 2551, 13206, 518, 2993, 4168, 476, 1001, 271, 16276, 10092, 20267, 732, 5291, 2517, 4178, 269, 572, 6420, 4800, 3820, 11721, 850, 611, 2381, 8276, 4215, 270, 572, 6420, 4800, 7933, 665, 338, 14727, 718, 318, 306, 655, 14373, 318, 12606, 338, 270, 273, 476, 18089, 31648, 272, 318, 10112, 31757, 318, 27807, 30669, 318, 303, 19948, 15005, 5291, 2517, 4178, 4732, 13521, 541, 21059, 6339, 1740, 3820, 11305, 665, 10394, 16122, 547, 7682, 23207, 5253, 13870, 7471, 8105, 2853, 10127, 777, 14373, 918, 301, 8582, 29612, 12283, 670, 3008, 966, 3201, 16604, 18039, 2983, 32015, 1970, 1942, 4859, 1970, 7607, 2067, 12469, 715, 2998, 779, 13813, 26054, 10787, 916, 19993, 7607, 3919, 9257, 779, 11641, 18648, 12426, 5842, 2787, 2022, 7556, 2359, 26724, 2504, 2157, 13870, 2060, 7025, 4336, 1216, 2359, 1507, 4336, 1216, 1507, 14516, 6705, 1507, 14516, 12696, 3037, 12680, 4859, 6703, 1016, 25781, 20885, 538, 5253, 12655, 16581, 5253, 12655, 1426, 2504, 9931, 15838, 1216, 2359, 7341, 8940, 14371, 305, 2562, 2593, 27548, 9544, 2326 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6098, 11299, 543, 741, 11928, 1516, 5615, 585, 1453, 269, 1717, 267, 891, 7459, 941, 4294, 547, 3003, 10820, 543, 711, 1367, 7622, 2818, 269, 700, 24147, 2146, 2861, 9882, 543, 19455, 7341, 17618, 6603, 811, 1004, 538, 519, 2146, 630, 14530, 1040, 1717, 267, 1978, 5095, 971, 607, 519, 11361, 543, 1762, 1453, 1522, 723, 3908, 1569, 547, 1857, 5989, 267, 971, 607, 1857, 4234, 21218, 267, 3226, 952, 972, 616, 2168, 543, 2804, 7496, 547, 17034, 873, 630, 15793, 1916, 293, 9200, 568, 606, 1271, 851, 540, 606, 2949, 2635, 4189, 1544, 269, 6153, 2959, 540, 6775, 1331, 25167, 23611, 267, 1082, 2898, 3766, 1778, 3694, 338, 267, 10365, 267, 5613, 630, 18034, 15708, 1070, 4158, 3039, 21364, 5388, 267, 782, 2010, 540, 23601, 267, 543, 10808, 269, 6733, 593, 519, 12594, 12700, 6003, 585, 6775, 1543, 538, 9268, 3536, 899, 24799, 543, 3694, 338, 269, 2422, 519, 3406, 1907, 593, 713, 22340, 2985, 547, 1265, 519, 2179, 540, 6775, 538, 2898, 3536, 899, 5613, 543, 5388, 563, 22137, 3095, 1164, 9770, 6981, 547, 2362, 1973, 2604, 267, 543, 2963, 5267, 602, 1082, 1004, 693, 1981, 585, 1164, 1973, 2604, 666, 2569, 741, 1981, 676, 10438, 1447, 6070, 610, 9770, 267, 607, 1134, 607, 1739, 513, 2635, 2732, 269, 4107, 4892, 8532, 811, 9770, 982, 789, 991, 269, 634, 5227, 2179, 568, 1447, 982, 476, 273, 267, 4968, 8406, 829, 1554, 585, 1453, 543, 4079, 547, 2085, 476, 2004, 269, 634, 3970, 12772, 547, 476, 272, 267, 4335, 8406, 829, 1554, 585, 1346, 476, 7906, 543, 4587, 610, 1346, 540, 1022, 2085, 945, 616, 3979, 1977, 610, 723, 13119, 267, 3987, 610, 5312, 8459, 2068, 269, 1411, 1205, 476, 273, 267, 4968, 8406, 538, 1175, 835, 23188, 540, 6070, 269, 2290, 1434, 1259, 547, 2569, 707, 9770, 6981, 568, 547, 3548, 7864, 5423, 543, 26437, 3536, 563, 26170, 267, 621, 4667, 899, 2021, 779, 17476, 723, 1500, 930, 3356, 538, 519, 2592, 602, 2021, 1294, 10630, 1394, 693, 873, 269, 476, 1001, 278, 1705, 1294, 519, 4473, 540, 7132, 20695, 3631, 899, 24023, 543, 670, 4428, 710, 593, 519, 3382, 540, 966, 4084, 543, 4432, 548, 267, 6606, 267, 855, 891, 616, 7132, 20695, 2706, 7116, 1564, 269, 1703, 568, 1869, 4055, 585, 6454, 538, 519, 10600, 540, 8516, 543, 6752, 269, 1656, 8516, 6752, 563, 13828, 707, 9422, 2115, 630, 1492, 1426, 543, 1216, 264, 543, 707, 10307, 630, 6011, 3728, 707, 1560, 17838, 1426, 547, 1648, 264, 1689, 693, 713, 2085, 269, 2659, 10307, 4991, 14887, 269, 6468, 6336, 827, 3368, 513, 11013, 540, 4887, 829, 1032, 4358, 1472, 519, 2085, 540, 476, 2412, 269, 2334, 2306, 9561, 2597, 1256, 811, 2352, 269, 2368, 540, 519, 2242, 2021, 1995, 616, 1813, 547, 8519, 10399, 267, 4389, 2534, 1377, 267, 543, 2564, 2175, 563, 2252, 8404, 568, 707, 13793, 5346, 267, 1689, 707, 3635, 6296, 1169, 476, 1691, 2395, 269, 589, 2160, 540, 8419, 1353, 4362, 602, 1004, 945, 9168, 741, 23736, 7466, 513, 3923, 941, 811, 2693, 982, 547, 6529, 547, 741, 4566, 3379, 547, 1346, 945, 4957, 741, 1036, 6036, 8164, 789, 4941, 547, 269, 645, 1819, 558, 4769, 1406, 2408, 547, 581, 513, 3815, 282, 621, 4667, 1004, 3274, 10150, 519, 3099, 811, 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 ]
[ 589, 5153, 8386, 28157, 6651, 4373, 8702, 547, 713, 3102, 3391, 593, 12003, 609, 1279, 3856, 13864, 269, 901, 2376, 568, 2966, 547, 948, 2043, 945, 723, 2370, 547, 1100, 1995, 609, 519, 1523, 540, 7694, 610, 1514, 4205, 6330, 519, 2591, 602, 2097, 609, 1373, 856, 540, 960, 780, 1262, 8139, 1548, 1133, 655, 7877, 31283, 12533, 6524, 649, 4685, 883, 519, 3268, 267, 1577, 781, 5581, 1018, 13864, 1797, 1384, 4462, 655, 7877, 4016, 547, 513, 3510, 1141, 606, 1367, 568, 711, 2324, 543, 15980, 2724, 5103, 8362, 3168, 585, 2816, 3255, 269, 898, 781, 1898, 547, 1174, 602, 13864, 1281, 711, 1611, 596, 616, 27823, 610, 24835, 762, 282, 2864, 267, 621, 1419, 2164, 689, 1585, 2188, 971, 607, 2804, 15125, 5281, 267, 2872, 2242, 267, 610, 2123, 6381, 780, 1262, 27609, 566, 568, 6206, 630, 3721, 476, 272, 264, 12533, 2414, 11883, 609, 1279, 3856, 13864, 3927, 267, 7041, 568, 2629, 269, 20283, 519, 1739, 2326, 1384, 265, 2878, 288, 6899, 11381, 4995, 4855, 513, 19756, 267, 24302, 16845, 11381, 609, 7850, 1394, 1489, 547, 1694, 20354, 1247, 2542, 267, 1603, 267, 610, 1210, 5907, 3457, 563, 265, 2878, 26261, 543, 4050, 270, 5155, 4290, 4995, 21733, 790, 513, 21641, 267, 1957, 267, 543, 1603, 27022, 547, 2594, 4967, 267, 2093, 267, 543, 4247, 563, 265, 2878, 20663, 270, 7483, 1569, 4995, 3550, 596, 723, 513, 6325, 3926, 4448, 547, 519, 4950, 585, 1382, 267, 2792, 267, 543, 2228, 3156, 563, 265, 2878, 12850, 11480, 4995, 5901, 19872, 676, 2348, 513, 1201, 650, 762, 1216, 11480, 7404, 563, 265, 2878, 27409, 2931, 4995, 15188, 1875, 12656, 27720, 16152, 899, 10808, 267, 12015, 5613, 267, 610, 1648, 13063, 1369, 3914, 547, 2226, 707, 1648, 2157, 780, 1262, 16498, 19369, 630, 8138, 21163, 476, 272, 320, 264, 1262, 912, 8340, 513, 9602, 267, 1134, 2000, 527, 1858, 1863, 689, 19240, 547, 4142, 6510, 3054, 547, 1565, 543, 2208, 269, 1403, 2009, 267, 1305, 909, 513, 1507, 29683, 610, 11380, 609, 8766, 804, 13616, 780, 1262, 21093, 1290, 13025, 630, 8138, 21163, 476, 272, 321, 264, 1262, 912, 3849, 3286, 707, 27939, 2990, 547, 3895, 1434, 14302, 543, 2569, 9854, 269, 23063, 609, 707, 3952, 12630, 16119, 593, 519, 2666, 267, 1832, 707, 17525, 17159, 267, 543, 1747, 1312, 3946, 593, 707, 22272, 610, 13691, 26745, 780, 1262, 10387, 10899, 20504, 766, 630, 3721, 476, 273, 264, 12533, 288, 1188, 852, 1578, 707, 4664, 3823, 13864, 269, 25506, 602, 4606, 540, 17140, 267, 4160, 267, 610, 29359, 616, 3339, 6547, 547, 713, 3510, 780, 1262, 32575, 30248, 630, 8138, 21163, 476, 273, 320, 264, 1262, 912, 12648, 513, 1906, 8090, 547, 2992, 593, 875, 596, 1745, 827, 707, 1699, 3510, 269, 22443, 707, 4664, 1510, 10385, 267, 552, 3052, 1421, 834, 296, 6415, 4743, 14221, 2437, 834, 296, 6415, 14126, 827, 1250, 2104, 3010, 1262, 289, 805, 3107, 11644, 630, 8138, 21163, 476, 273, 321, 264, 1262, 912, 20797, 2620, 7244, 5751, 547, 9350, 1524, 543, 2312, 707, 2247, 1384, 265, 769, 327, 1446, 7444, 998, 707, 9224, 267, 11423, 707, 9641, 4625, 630, 349, 275, 7643, 1916, 265, 15579, 707, 7362, 13713, 630, 349, 273, 7643, 1916, 265, 1401, 327, 1446, 7930, 998, 707, 5023, 267, 16089, 8082, 630, 349, 277, 7643, 6393, 3725, 701, 520, 713, 1184, 1896, 2053, 2394, 596, 1745, 811, 10704, 780, 1262, 15187, 11529, 543, 3194, 630, 3721, 476, 274, 264, 12533, 3725, 778, 856, 547, 1004, 543, 2200, 547, 4228, 707, 3060, 543, 2744, 3407, 4030, 780, 1262, 17490, 18264, 22761, 630, 8138, 21163, 476, 274, 320, 264, 1262, 912, 2691, 1818, 6049, 7125, 267, 1246, 891, 4808, 1384, 265, 8382, 19670, 7125, 16425, 543, 1135, 7019, 9497, 15916, 8119, 610, 834, 17098, 267, 1496, 7312, 8745, 316, 6340, 257, 1916, 265, 28423, 5693, 543, 693, 9793, 4320, 267, 9319, 6727, 10978, 21089, 563, 265, 2422, 1697, 8239, 543, 2057, 6445, 518, 1913, 630, 324, 3052, 1421, 579, 7825, 267, 513, 327, 1916, 265, 2142, 5423, 547, 1491, 4967, 1282, 7391, 780, 1262, 15697, 8249, 630, 8138, 21163, 476, 274, 321, 264, 1262, 912, 18439, 18019, 7270, 267, 15473, 267, 543, 1514, 2923, 5867, 5059, 593, 4876, 1646, 267, 2816, 3406, 2994, 267, 543, 2790, 1072, 1489, 269, 8073, 12632, 267, 6443, 2516, 267, 543, 4497, 538, 5717, 547, 1921, 609, 1866, 6849, 2147, 3871, 780, 1262, 22033, 20283, 532, 630, 8138, 21163, 476, 274, 322, 264, 1262, 912, 10932, 2199, 2816, 6990, 267, 6080, 267, 543, 3549, 547, 3251, 5483, 827, 6932, 3466, 543, 1761, 3255, 780, 1262, 17730, 513, 21480, 630, 3721, 476, 275, 264, 12533, 15307, 28344, 513, 3232, 6296, 547, 2226, 2497, 543, 8404, 780, 1262, 11742, 5004, 630, 8138, 21163, 476, 275, 320, 264, 1262, 912, 19667, 728, 707, 1554, 883, 19242, 7161, 6131, 547, 1808, 2238, 1384, 265, 27450, 6296, 630, 1410, 9052, 267, 14254, 267, 1582, 13282, 994, 265, 16763, 10478, 543, 13033, 454, 265, 31853, 20671, 543, 2069, 454, 265, 9608, 942, 630, 7758, 1314, 566, 267, 12348, 2020, 13729, 10853, 3853, 543, 21138, 6190, 942, 585, 1142, 4305, 780, 1262, 26212, 527, 1944, 8682, 4211, 732, 630, 8138, 21163, 476, 275, 321, 264, 1262, 912, 306, 3832, 7191, 2834, 9397, 585, 11005, 543, 29915, 566, 1384, 265, 6875, 2110, 15211, 3544, 610, 12701, 16280, 563, 265, 18918, 538, 22196, 2238, 630, 15105, 267, 9066, 267, 6947, 547, 2575, 1916, 265, 16259, 2635, 6980, 543, 15165, 5781, 780, 1262, 1805, 11691, 5029, 1242, 630, 3721, 476, 276, 264, 12533, 16605, 3950, 540, 3356, 267, 21852, 267, 543, 20499, 1210, 2645, 543, 1949, 780, 1262, 8794, 2836, 754, 1513, 630, 8138, 21163, 476, 276, 320, 264, 1262, 912, 25219, 559, 1125, 3059, 30300, 1513, 630, 11386, 25038, 267, 11197, 25038, 264, 610, 9102, 24990, 547, 8430, 2621, 267, 23106, 267, 543, 19325, 780, 1262, 307, 2532, 700, 1235, 630, 8138, 21163, 476, 276, 321, 264, 1262, 912, 8620, 2854, 8638, 610, 946, 8924, 630, 570, 29081, 626, 267, 7066, 14561, 264, 547, 2736, 1524, 3677, 6859, 883, 4130, 267, 29829, 3688, 780, 1262, 3682, 28698, 31524, 630, 8138, 21163, 476, 276, 322, 264, 1262, 912, 19894, 569, 2689, 707, 18517, 267, 4188, 4566, 952, 2877, 267, 543, 8661, 1507, 24984, 2059, 519, 1259, 780, 1262, 26045, 2657, 8081, 630, 3721, 476, 277, 264, 12533, 10673, 1405, 30391, 519, 2956, 540, 5275, 3929, 1489, 1282, 713, 4101, 1974, 780, 1262, 3725, 2286, 4934, 630, 8138, 21163, 476, 277, 320, 264, 1262, 912, 21010, 609, 11967, 2828, 267, 1920, 2818, 267, 610, 23003, 3842, 6049, 267, 3381, 1289, 267, 610, 538, 16512, 11401, 780, 1262, 32153, 6435, 630, 8138, 21163, 476, 277, 321, 264, 1262, 912, 13706, 17874, 2790, 1072, 4648, 267, 24784, 267, 610, 19393, 21751, 538, 4876, 5583, 543, 2566, 2359, 780, 1262, 28874, 20492, 630, 8138, 21163, 476, 277, 322, 264, 1262, 912, 18794, 2228, 2950, 267, 7390, 11925, 267, 610, 7119, 538, 1895, 3797, 7886, 4481, 2966, 585, 1346, 7680, 1279, 3856, 13864, 780, 1262, 6962, 12533, 290, 14563, 609, 1279, 3856, 13864, 3340, 9639, 267, 6043, 267, 543, 14942, 4674, 269, 1635, 1739, 891, 3268, 543, 8508, 513, 2208, 14820, 267, 596, 3513, 581, 1732, 9280, 547, 6023, 519, 2591, 6619, 269, 5457, 547, 4225, 1582, 13282, 267, 3343, 1489, 950, 2877, 267, 543, 1445, 593, 3384, 1007, 1983, 547, 2333, 707, 8458, 540, 4466, 16180, 7694, 780, 1262, 21206, 9669, 4373, 265, 13773, 2318, 543, 1930, 16490, 2429, 707, 3460, 563, 265, 18270, 622, 5634, 10781, 543, 11760, 22303, 607, 3255, 585, 2208, 563, 265, 8033, 28204, 9337, 707, 1983, 543, 3082, 547, 4657, 2344, 7569, 563, 265, 6657, 14696, 676, 10452, 593, 519, 1919, 596, 2811, 9684, 995, 585, 1142, 1554, 780, 8855, 267, 596, 616, 711, 4805, 538, 713, 6560, 269, 3509, 1004, 723, 7753, 1279, 3856, 13864, 543, 8854, 593, 547, 3035, 1390, 1967, 269, 1411, 1932, 666, 798, 519, 1482, 609, 18094, 267, 8990, 267, 543, 519, 1318, 1489, 1062, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 290, 2100, 2060, 7043, 12910, 1133, 655, 7877, 257, 538, 519, 2511, 540, 14392, 585, 2576, 945, 814, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 782, 519, 2168, 543, 1480, 4205, 3238, 267, 1256, 519, 1034, 2596, 543, 6654, 3283, 267, 14322, 519, 5467, 2115, 713, 1344, 1100, 2339, 875, 2596, 621, 666, 3100, 269, 0, 7705, 281, 19850, 7585, 256, 594, 4862, 596, 1185, 513, 24895, 609, 707, 3659, 6341, 827, 2436, 621, 781, 15502, 547, 3548, 1426, 609, 707, 3946, 538, 1114, 4529, 2496, 7692, 281, 23010, 267, 649, 941, 6158, 827, 2686, 3604, 267, 543, 646, 1767, 621, 781, 791, 565, 924, 547, 3548, 609, 707, 3946, 538, 930, 2477, 267, 855, 594, 1589, 621, 781, 5386, 952, 596, 1332, 909, 1565, 602, 1259, 780, 8334, 281, 2334, 781, 3020, 256, 898, 2965, 6770, 721, 547, 513, 1523, 1572, 834, 24292, 4039, 520, 13659, 2668, 1684, 596, 917, 1018, 602, 1797, 2496, 7692, 281, 3502, 2731, 267, 666, 596, 2491, 2496, 8334, 281, 17610, 256, 1924, 267, 8836, 4039, 520, 13659, 568, 519, 2856, 602, 1004, 1058, 1174, 543, 9794, 824, 4529, 1759, 593, 741, 1378, 3652, 543, 9821, 3079, 540, 25412, 741, 4978, 593, 1866, 269, 901, 2337, 721, 2463, 543, 5660, 3604, 1851, 4529, 780, 7692, 281, 7937, 267, 899, 875, 930, 2477, 4782, 1210, 14299, 560, 6506, 936, 23643, 543, 17180, 2496, 8334, 281, 22549, 256, 1656, 4189, 609, 707, 3946, 1522, 581, 11207, 3339, 538, 1978, 4025, 1932, 269, 1280, 1383, 267, 1082, 12075, 2972, 4189, 741, 2757, 8286, 609, 741, 11263, 1317, 789, 3494, 621, 10597, 519, 6492, 543, 1995, 780, 7692, 281, 26272, 267, 594, 4769, 1405, 917, 602, 256, 1809, 1018, 827, 1480, 2924, 286, 3657, 972, 1022, 3652, 602, 4019, 10876, 7488, 540, 2528, 2496, 8334, 281, 8786, 267, 1247, 649, 2259, 8836, 4039, 520, 13659, 267, 972, 781, 849, 1945, 1572, 834, 684, 1392, 531, 1480, 2924, 2437, 799, 10039, 24080, 5103, 2686, 3604, 269, 1452, 1331, 1919, 899, 5191, 267, 7862, 267, 543, 1875, 1673, 4593, 19303, 780, 7692, 281, 20944, 621, 256, 6145, 875, 3025, 19262, 2463, 1100, 2339, 1141, 789, 2097, 689, 610, 1018, 789, 1413, 899, 780, 8334, 281, 25999, 267, 7585, 256, 4197, 1312, 8836, 4039, 520, 13659, 543, 8471, 1480, 2924, 786, 948, 721, 1118, 1732, 3664, 950, 15025, 609, 3309, 2516, 540, 1004, 269, 1284, 991, 547, 1265, 513, 3666, 1063, 19825, 2686, 22464, 543, 4180, 14619, 543, 5126, 585, 3025, 780, 7692, 281, 8729, 585, 7713, 713, 267, 7705, 256, 3767, 594, 1745, 811, 8746, 538, 1620, 543, 16561, 1114, 4529, 1510, 32198, 873, 676, 1250, 1378, 4441, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 5472, 1480, 7919, 616, 4535, 1863, 543, 3160, 538, 15683, 543, 2924, 269, 1358, 1058, 957, 2509, 835, 1776, 538, 513, 6891, 540, 7015, 3125, 6100, 9137, 476, 272, 540, 519, 17629, 16672, 540, 5274, 7126, 267, 476, 3707, 279, 563, 14549, 2924, 689, 519, 24388, 540, 8471, 1143, 454, 5475, 519, 12176, 540, 519, 5822, 2622, 2782, 267, 4509, 543, 538, 1880, 267, 3246, 513, 8471, 1305, 540, 3652, 543, 2418, 540, 1480, 2924, 941, 2322, 4464, 607, 835, 540, 519, 2596, 11645, 269, 17629, 626, 1935, 19707, 585, 1018, 568, 1505, 673, 543, 9836, 267, 13290, 547, 17997, 519, 3652, 267, 4031, 267, 543, 8155, 593, 782, 540, 922, 2818, 865, 602, 1919, 666, 2196, 811, 4199, 2685, 269, 769, 1931, 547, 3895, 9111, 538, 2474, 540, 1480, 2924, 1058, 581, 513, 11358, 10862, 540, 1142, 1533, 269, 15742, 569, 267, 519, 1646, 540, 513, 1533, 18113, 5673, 593, 8497, 267, 543, 2523, 519, 6388, 540, 1480, 2924, 538, 3540, 2486, 269, 769, 938, 1699, 1158, 267, 1480, 2924, 616, 1759, 593, 1079, 12880, 4485, 538, 13076, 609, 4525, 7232, 770, 543, 4639, 267, 3345, 543, 3162, 269, 2290, 540, 873, 568, 8471, 1143, 267, 606, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 24292, 4039, 520, 13659, 257, 607, 851, 540, 834, 24719, 13316, 1315, 28668, 1315, 8836, 1299, 4317, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 276, 267, 1822, 269, 876, 10196, 9896, 513, 21936, 1996, 713, 11876, 1314, 267, 789, 941, 16053, 269, 476, 273, 298, 968, 701, 518, 12649, 892, 799, 1797, 3592, 4986, 4849, 1866, 2348, 519, 1482, 2070, 3576, 513, 1413, 693, 621, 267, 616, 1031, 547, 6961, 707, 1448, 269, 1717, 519, 3017, 1373, 519, 476, 273, 298, 10196, 585, 2494, 1500, 6820, 8337, 267, 1185, 547, 581, 968, 743, 574, 520, 6048, 892, 835, 540, 519, 10782, 6956, 543, 29101, 3989, 9443, 649, 723, 2479, 2938, 267, 14959, 1185, 547, 723, 3370, 606, 2376, 593, 2916, 1689, 538, 519, 2063, 1032, 256, 13185, 827, 513, 7729, 14954, 3732, 256, 543, 269, 6011, 1419, 1281, 513, 4365, 2006, 1205, 621, 1318, 31641, 310, 267, 646, 1281, 711, 723, 547, 607, 646, 9388, 609, 21159, 543, 6354, 12885, 543, 2242, 8369, 2394, 621, 22856, 3544, 1287, 267, 543, 1152, 1287, 267, 646, 6811, 476, 1911, 260, 4960, 540, 4764, 267, 543, 1869, 596, 3972, 713, 29660, 2257, 602, 568, 711, 693, 782, 1449, 762, 1070, 269, 1879, 596, 18149, 333, 1346, 945, 2243, 519, 2229, 2219, 7128, 267, 621, 568, 1572, 3673, 1143, 1107, 543, 596, 666, 2285, 519, 2025, 562, 21532, 2892, 1393, 547, 707, 3751, 15525, 16634, 31641, 310, 1107, 1018, 4110, 798, 596, 723, 888, 5472, 1346, 12125, 543, 11708, 1413, 899, 5013, 547, 803, 267, 13411, 905, 330, 930, 1004, 616, 1175, 602, 8908, 563, 619, 577, 549, 5338, 518, 281, 674, 3722, 4811, 616, 1018, 568, 18445, 602, 519, 16957, 968, 27023, 1235, 892, 723, 7722, 538, 31081, 17965, 267, 12611, 267, 3092, 269, 898, 779, 2182, 547, 1174, 602, 950, 596, 1810, 1406, 723, 519, 2702, 630, 528, 18515, 264, 547, 20559, 5168, 563, 14881, 7058, 621, 779, 2182, 950, 596, 1810, 1406, 723, 1022, 5013, 593, 707, 2427, 3034, 296, 6557, 14281, 646, 666, 11963, 2048, 30440, 685, 7498, 301, 823, 960, 24697, 267, 713, 814, 1631, 1044, 3773, 547, 1250, 2048, 10574, 17793, 644, 685, 3758, 563, 296, 1589, 649, 991, 513, 811, 982, 1175, 513, 2048, 12803, 892, 609, 782, 540, 519, 12611, 602, 814, 7018, 609, 519, 17985, 310, 18986, 1824, 563, 20756, 18238, 256, 594, 723, 936, 476, 2412, 5094, 6119, 593, 2048, 30873, 1689, 8730, 543, 666, 3362, 4704, 873, 593, 1250, 21236, 9170, 267, 20471, 269, 594, 666, 2141, 1394, 1250, 7682, 687, 609, 1239, 563, 296, 723, 6119, 899, 2048, 295, 753, 523, 8730, 2048, 19136, 5682, 8730, 2048, 295, 15736, 25529, 8730, 543, 865, 593, 269, 898, 21933, 3438, 919, 3636, 1235, 267, 945, 715, 14110, 2207, 723, 2182, 1239, 2336, 6546, 568, 513, 9735, 4640, 269, 594, 1616, 707, 3758, 540, 476, 2412, 2336, 9989, 333, 1406, 621, 21898, 4896, 602, 519, 2475, 717, 1478, 618, 568, 28068, 267, 8716, 267, 7873, 11238, 267, 7109, 908, 2073, 2560, 263, 9767, 4584, 264, 1804, 8397, 9114, 532, 11631, 888, 763, 2475, 6554, 568, 3366, 676, 513, 1732, 1362, 540, 1004, 982, 519, 1964, 540, 721, 269, 1358, 917, 1732, 982, 649, 798, 269, 4256, 12271, 616, 6986, 543, 741, 11685, 568, 7357, 9409, 543, 4636, 269, 1358, 1058, 581, 4847, 547, 9114, 1317, 789, 723, 1152, 519, 1655, 540, 15752, 269, 1703, 568, 1100, 4055, 585, 30137, 5013, 269, 1403, 789, 991, 547, 2953, 6151, 1239, 547, 1118, 621, 2992, 7000, 5168, 267, 789, 616, 3257, 519, 7083, 779, 960, 563, 763, 7083, 779, 960, 256, 1358, 616, 22946, 18761, 593, 3478, 7759, 540, 2696, 256, 2334, 2306, 1100, 2631, 269, 1358, 616, 3257, 519, 2618, 13771, 779, 960, 267, 646, 945, 6499, 547, 1491, 782, 543, 581, 538, 1852, 540, 782, 563, 300, 269, 28553, 7015, 2048, 9773, 20371, 299, 625, 267, 16815, 2012, 568, 15525, 563, 2691, 538, 519, 2063, 476, 277, 1296, 814, 519, 2370, 9598, 1807, 10691, 561, 1221, 547, 519, 1977, 1004, 888, 28062, 856, 827, 16258, 543, 674, 21874, 689, 519, 3377, 5288, 269, 10324, 3051, 1578, 4027, 585, 519, 7803, 15579, 518, 286, 715, 2100, 454, 8253, 513, 1159, 573, 2102, 540, 13313, 538, 519, 594, 11965, 5288, 269, 700, 518, 1676, 631, 8656, 15737, 267, 3092, 269, 286, 715, 2100, 454, 30356, 6051, 1134, 593, 621, 1259, 267, 5288, 269, 1627, 272, 476, 1001, 275, 12654, 1524, 476, 273, 269, 280, 260, 286, 715, 2100, 454, 2704, 304, 320, 20364, 568, 1232, 13846, 543, 593, 519, 2196, 5288, 269, 4959, 6579, 2921, 936, 16850, 543, 12925, 286, 715, 2100, 454, 13051, 724, 21532, 729, 3361, 676, 513, 3381, 5288, 269, 519, 1325, 304, 320, 20364, 1644, 9810, 1235, 602, 1705, 621, 286, 715, 2100, 454, 288, 4599, 11354, 786, 3142, 4708, 5288, 269, 519, 4473, 540, 9099, 18483, 621, 814, 8507, 538, 286, 715, 2100, 454, 4517, 13071, 711, 7340, 1403, 596, 899, 707, 4387, 596, 666, 1832, 707, 4387, 6730, 1403, 596, 899, 707, 1544, 596, 666, 1832, 707, 1544, 1107, 715, 8008, 292, 563, 21574, 871, 15525, 814, 561, 1221, 547, 519, 1977, 1857, 693, 1169, 3236, 2094, 646, 729, 11221, 563, 10144, 667, 2177, 685, 307, 3494, 610, 3972, 713, 7245, 693, 782, 267, 543, 723, 2938, 873, 9114, 7683, 269, 19759, 569, 267, 1631, 649, 4465, 1406, 3972, 3744, 267, 607, 3362, 267, 1022, 3476, 267, 543, 594, 1745, 602, 12971, 7245, 568, 2693, 547, 22919, 519, 1857, 3972, 3362, 2507, 10756, 293, 9711, 1810, 1406, 21898, 519, 5783, 540, 654, 9879, 1108, 269, 26419, 1498, 267, 1018, 568, 741, 24117, 585, 519, 968, 611, 3286, 618, 892, 888, 296, 4553, 713, 1239, 936, 519, 1296, 543, 1775, 849, 11329, 856, 519, 2242, 543, 23984, 27128, 547, 1585, 1004, 593, 1585, 7270, 267, 1152, 547, 1205, 26884, 543, 31484, 1194, 543, 5143, 602, 1775, 729, 1818, 713, 782, 909, 547, 9290, 606, 16786, 8627, 2336, 3383, 1134, 2944, 593, 782, 713, 9623, 2336, 14187, 2816, 19378, 269, 6733, 693, 519, 3141, 779, 13260, 543, 602, 3085, 1406, 2014, 713, 563, 16100, 693, 519, 5836, 3002, 1689, 543, 972, 568, 4986, 972, 563, 16100, 693, 4262, 1377, 1689, 543, 621, 3884, 1406, 14775, 607, 952, 1919, 616, 3478, 15911, 563, 5472, 596, 723, 2451, 267, 607, 596, 723, 11329, 856, 1934, 267, 568, 602, 519, 2837, 2594, 568, 1175, 536, 690, 639, 563, 4692, 594, 2322, 713, 538, 14182, 779, 3377, 888, 8253, 593, 519, 18917, 5240, 596, 666, 1406, 563, 295, 7825, 332, 267, 634, 2283, 1049, 1259, 713, 2376, 568, 2854, 4992, 899, 2576, 814, 513, 711, 27940, 3620, 5200, 16786, 269, 4340, 547, 519, 835, 8331, 3095, 3177, 267, 519, 476, 1960, 280, 2376, 540, 799, 519, 1257, 814, 1044, 3144, 856, 540, 2796, 568, 3126, 540, 2055, 3843, 547, 1174, 1946, 519, 7330, 1239, 568, 711, 8022, 909, 607, 1454, 607, 519, 1964, 540, 519, 1158, 609, 606, 13429, 602, 950, 1732, 2645, 1831, 2139, 519, 9814, 786, 581, 6956, 543, 711, 513, 2481, 940, 16616, 593, 3621, 896, 8518, 539, 1145, 563, 4407, 594, 1810, 1406, 1174, 519, 1880, 338, 267, 715, 14505, 5638, 540, 1239, 2242, 3280, 10257, 269, 31203, 540, 1239, 2798, 602, 1705, 711, 2743, 2298, 1852, 11974, 630, 328, 4318, 269, 949, 711, 581, 4977, 264, 543, 606, 16075, 602, 1239, 729, 4957, 1317, 2418, 941, 968, 514, 30541, 1836, 813, 2105, 547, 2475, 18449, 301, 1239, 585, 1991, 1296, 1510, 1519, 519, 11941, 693, 891, 10473, 602, 1185, 1044, 3989, 676, 519, 30857, 2817, 8693, 4578, 4741, 264, 7536, 296, 3580, 2322, 596, 1524, 585, 5885, 1239, 23984, 27128, 676, 2229, 5520, 563, 310, 699, 713, 1152, 835, 610, 1079, 10473, 1287, 602, 24134, 1131, 723, 930, 17258, 269, 1879, 891, 968, 14585, 516, 2388, 892, 616, 4294, 547, 3592, 1169, 1305, 540, 6728, 1239, 2066, 519, 2197, 1287, 621, 3587, 513, 1454, 811, 2352, 3409, 547, 15179, 269, 630, 4517, 602, 594, 723, 13006, 693, 9779, 29392, 6052, 454, 11293, 5558, 6157, 798, 2049, 543, 952, 789, 2461, 2965, 6959, 18864, 814, 1022, 3390, 609, 10257, 3268, 547, 2953, 873, 563, 3719, 1018, 596, 1810, 1406, 3100, 547, 1205, 568, 602, 6959, 616, 4351, 269, 1879, 782, 519, 865, 10777, 2048, 518, 5558, 685, 1267, 538, 519, 1482, 835, 17574, 16369, 267, 602, 779, 711, 6959, 267, 602, 779, 20982, 543, 6654, 1239, 23984, 27128, 269, 17793, 644, 563, 296, 1589, 6004, 269, 2696, 323, 731, 779, 3210, 547, 596, 593, 713, 729, 3501, 267, 593, 519, 9224, 563, 763, 2229, 267, 2923, 267, 2872, 267, 24243, 267, 2825, 1235, 267, 4550, 4211, 777, 1388, 1235, 267, 543, 6167, 723, 513, 642, 6479, 1719, 538, 5329, 713, 2518, 8337, 270, 30873, 1689, 1085, 600, 2469, 269, 898, 568, 519, 12404, 748, 1623, 6798, 2670, 4171, 3483, 568, 547, 1377, 519, 4730, 2361, 540, 1447, 26752, 6082, 676, 5969, 519, 7953, 856, 689, 18284, 519, 9409, 2136, 2276, 267, 12235, 513, 16203, 7552, 693, 2475, 4961, 865, 789, 1810, 1406, 2695, 7002, 827, 2417, 21259, 267, 543, 519, 1715, 2622, 11352, 563, 763, 575, 342, 15624, 543, 741, 512, 2651, 338, 798, 711, 723, 835, 4062, 540, 12170, 2963, 16046, 1480, 2238, 547, 519, 2916, 1107, 10691, 21450, 256, 2353, 789, 723, 568, 2150, 15869, 762, 4365, 23278, 4925, 267, 2780, 20327, 799, 2760, 3443, 856, 267, 543, 670, 15736, 25529, 7671, 523, 20877, 338, 25865, 16940, 1927, 609, 20775, 267, 31877, 21285, 1239, 5036, 563, 2690, 519, 2063, 476, 7785, 267, 1822, 267, 1822, 1296, 5210, 723, 554, 2642, 1472, 476, 1015, 290, 827, 476, 1691, 260, 540, 519, 942, 267, 1472, 476, 1839, 290, 827, 476, 2004, 260, 540, 519, 942, 267, 543, 12341, 538, 1063, 476, 3607, 260, 540, 519, 942, 269, 9406, 1631, 649, 616, 693, 476, 1691, 269, 275, 290, 267, 827, 476, 3066, 260, 1657, 519, 5377, 540, 519, 3140, 2039, 269, 630, 8269, 281, 3220, 269, 18332, 681, 269, 8857, 3150, 30778, 623, 3201, 292, 6865, 4338, 5741, 693, 5291, 2517, 4178, 31892, 582, 3150, 2593, 270, 30873, 21867, 1040, 1284, 616, 1100, 1141, 2282, 1022, 2837, 512, 6235, 1448, 563, 763, 476, 271, 269, 275, 290, 4473, 538, 2837, 2094, 519, 11633, 7169, 533, 2297, 538, 6476, 547, 519, 476, 272, 269, 277, 290, 2333, 540, 519, 19744, 654, 9879, 11270, 267, 519, 476, 273, 269, 276, 290, 2333, 540, 519, 4936, 654, 303, 267, 543, 519, 476, 274, 269, 273, 290, 2333, 540, 519, 631, 3626, 534, 654, 303, 1210, 519, 16843, 607, 513, 15977, 269, 634, 3328, 2837, 814, 1044, 19394, 585, 519, 2063, 476, 277, 267, 1822, 1296, 540, 519, 1459, 476, 1015, 267, 4335, 1032, 3955, 6921, 18432, 24953, 1575, 269, 630, 8269, 281, 1325, 2917, 267, 681, 11065, 269, 476, 1220, 271, 269, 634, 8479, 518, 16959, 553, 4411, 8884, 607, 9763, 689, 3844, 23529, 267, 2372, 15715, 776, 3163, 17352, 267, 476, 866, 281, 22659, 268, 26297, 8094, 2171, 616, 693, 519, 1360, 1439, 540, 519, 1459, 3955, 6921, 18432, 654, 303, 269, 2991, 713, 2501, 827, 476, 3445, 267, 1822, 1296, 540, 6777, 267, 4672, 267, 14027, 22260, 267, 4492, 22520, 267, 7693, 14286, 267, 543, 2530, 540, 1272, 269, 17949, 519, 14246, 1247, 596, 666, 563, 10527, 575, 342, 15624, 543, 741, 512, 2651, 338, 798, 711, 723, 835, 4062, 540, 12170, 2963, 16046, 1480, 2238, 547, 519, 2916, 1107, 10691, 21450, 256, 2353, 789, 723, 568, 2150, 15869, 762, 4365, 23278, 4925, 267, 2780, 20327, 799, 2760, 3443, 856, 267, 543, 670, 15736, 25529, 7671, 523, 20877, 338, 25865, 16940, 1927, 609, 20775, 267, 31877, 21285, 1239, 5036, 3034, 2791, 29709, 19957, 27710, 9707, 7616, 267, 543, 3730, 18986, 1824, 269, 19227, 5544, 593, 256, 9462, 502, 487, 454, 1607, 568, 513, 2953, 1279, 2165, 2079, 630, 514, 5618, 264, 9684, 596, 8176, 269, 11569, 267, 2972, 519, 14246, 1247, 596, 666, 2507, 589, 1906, 5553, 689, 1631, 938, 1390, 1390, 6264, 18244, 786, 581, 530, 5109, 789, 1869, 1185, 8093, 10173, 547, 6633, 267, 855, 786, 723, 547, 1118, 798, 609, 3859, 3002, 16276, 267, 2842, 543, 6046, 13324, 5201, 267, 543, 2527, 4955, 5928, 2509, 519, 20337, 658, 4525, 7498, 296, 6557, 4757, 532, 4757, 11333, 2593, 827, 741, 5750, 593, 2985, 476, 275, 454, 12812, 547, 1569, 530, 15879, 318, 9340, 280, 318, 523, 15005, 454, 763, 7508, 3095, 5210, 616, 2895, 1882, 998, 3896, 25135, 32718, 538, 476, 1220, 272, 563, 312, 788 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 938, 2203, 267, 649, 1031, 476, 272, 269, 278, 260, 15395, 9436, 630, 303, 539, 619, 523, 543, 16907, 636, 476, 1960, 277, 264, 543, 476, 1015, 260, 3327, 630, 291, 22115, 324, 476, 1960, 273, 1070, 6606, 267, 607, 513, 6824, 540, 5160, 13947, 543, 519, 5934, 7293, 10421, 585, 2208, 269, 1403, 19718, 543, 2208, 3928, 616, 2147, 267, 1287, 4835, 8770, 14425, 786, 711, 18645, 543, 2208, 786, 3950, 519, 8770, 9830, 538, 519, 1604, 269, 1403, 19718, 20489, 2208, 267, 1287, 9436, 543, 5924, 3327, 786, 581, 6740, 538, 519, 3473, 531, 5160, 563, 347, 5353, 1783, 1475, 22873, 658, 595, 630, 28485, 544, 6629, 274, 10534, 22873, 658, 715, 630, 28485, 544, 6629, 274, 10534, 290, 630, 8472, 1475, 301, 630, 8472, 2008, 293, 1075, 639, 2530, 2474, 454, 299, 1601, 2474, 585, 674, 1075, 639, 13947, 1331, 19344, 267, 12093, 267, 543, 21737, 676, 519, 1034, 10731, 24549, 2803, 538, 519, 27397, 7256, 563, 763, 11664, 16061, 630, 298, 6629, 272, 264, 540, 2837, 20159, 568, 6697, 547, 606, 2333, 538, 19344, 676, 513, 3815, 540, 476, 273, 585, 1169, 476, 1015, 9180, 2333, 538, 2837, 630, 307, 1070, 1247, 678, 271, 630, 323, 6629, 272, 264, 568, 519, 3448, 19344, 2557, 540, 674, 1075, 639, 693, 513, 4704, 2837, 540, 476, 271, 9180, 630, 15812, 4526, 543, 9995, 11219, 27255, 476, 1960, 273, 1916, 288, 6024, 942, 3126, 609, 3232, 6571, 729, 5833, 585, 17241, 630, 323, 6629, 272, 264, 1210, 5276, 31992, 1063, 6901, 269, 12539, 543, 9436, 5950, 1282, 891, 2530, 3157, 941, 10924, 547, 581, 2047, 7777, 1242, 543, 3773, 547, 519, 7535, 540, 1863, 2139, 667, 2562, 543, 667, 2975, 538, 519, 918, 15477, 1216, 563, 295, 8538, 643, 2803, 543, 3134, 760, 1506, 5052, 607, 8770, 29826, 543, 2959, 454, 18693, 558, 817, 540, 2890, 788, 760, 1506, 974, 543, 12550, 788, 760, 1506, 974, 543, 519, 1614, 1292, 8544, 690, 23432, 619, 941, 11311, 267, 602, 568, 267, 711, 12799, 6719, 676, 2203, 1533, 4632, 269, 634, 3232, 2333, 610, 6175, 538, 3327, 543, 9436, 540, 3134, 760, 1506, 5052, 543, 1178, 345, 619, 729, 8045, 538, 519, 2203, 607, 3157, 540, 8770, 5305, 630, 291, 2975, 543, 667, 2562, 264, 585, 519, 1062, 630, 25899, 264, 610, 607, 3134, 760, 1506, 974, 543, 5924, 1178, 10045, 21939, 540, 5567, 6378, 538, 741, 13947, 630, 338, 1074, 1040, 11545, 13947, 3604, 941, 7229, 585, 1142, 11311, 6211, 4756, 269, 5843, 788, 760, 1506, 974, 543, 12550, 788, 760, 1506, 974, 941, 10736, 689, 4559, 540, 575, 3819, 13947, 547, 12387, 715, 544, 6629, 274, 1210, 476, 271, 269, 21916, 8064, 610, 476, 271, 269, 16573, 5881, 12387, 715, 575, 6629, 272, 267, 6606, 267, 2687, 547, 16677, 619, 523, 543, 16907, 636, 630, 1960, 277, 264, 543, 519, 918, 15477, 4320, 630, 272, 269, 5325, 544, 274, 1040, 1280, 7503, 540, 12387, 715, 544, 6629, 274, 547, 12387, 595, 544, 6629, 274, 649, 4294, 519, 595, 21610, 5223, 540, 4414, 7615, 630, 11793, 270, 1626, 1040, 3400, 345, 619, 941, 10736, 689, 4559, 540, 575, 11849, 6954, 20336, 630, 28425, 19699, 264, 547, 12387, 595, 544, 6629, 274, 543, 1287, 547, 12387, 715, 544, 6629, 274, 267, 7311, 519, 24855, 12753, 540, 670, 4068, 25912, 1696, 620, 269, 630, 1220, 280, 264, 585, 16740, 1774, 320, 630, 276, 269, 6078, 1070, 717, 2459, 22654, 630, 276, 269, 5881, 1070, 543, 700, 8636, 528, 2088, 630, 276, 269, 5038, 1916, 763, 2203, 3403, 2882, 3586, 6724, 543, 4005, 958, 8795, 5007, 6211, 607, 1134, 607, 2168, 6724, 269, 634, 2418, 8655, 547, 891, 6724, 543, 519, 2959, 689, 799, 789, 941, 6537, 666, 581, 1336, 538, 23959, 476, 272, 543, 476, 275, 269, 1323, 4674, 729, 1500, 547, 946, 1239, 6508, 689, 2090, 593, 27397, 674, 269, 5738, 10306, 657, 639, 267, 3134, 760, 1506, 5052, 267, 543, 1178, 345, 619, 269, 9603, 547, 17573, 3668, 540, 1239, 593, 891, 2516, 585, 519, 27397, 7256, 267, 649, 849, 1031, 1239, 6508, 689, 2090, 593, 519, 5702, 1644, 674, 1075, 639, 1583, 7806, 639, 700, 269, 543, 13380, 3134, 760, 1506, 974, 543, 1178, 10045, 2249, 689, 519, 3345, 7256, 563, 347, 2412, 269, 276, 610, 476, 9340, 1475, 25508, 1475, 27807, 29403, 4083, 1239, 2008, 347, 325, 337, 1475, 272, 269, 279, 1475, 332, 274, 546, 6629, 272, 1475, 310, 22844, 1696, 620, 269, 630, 1001, 276, 6277, 10245, 347, 309, 7901, 1475, 272, 269, 5325, 1475, 332, 274, 1475, 310, 22844, 1696, 620, 269, 630, 1001, 276, 6277, 10245, 347, 29220, 1475, 271, 269, 271, 2767, 1475, 332, 6629, 272, 1475, 29834, 543, 22823, 630, 3192, 279, 10245, 347, 330, 322, 1475, 271, 269, 271, 3066, 1475, 332, 273, 8406, 6629, 272, 932, 331, 1475, 10468, 30977, 1696, 620, 269, 630, 1001, 276, 10245, 347, 345, 1475, 271, 269, 3607, 278, 276, 1475, 332, 1475, 310, 22844, 1696, 620, 269, 630, 1001, 276, 6277, 10245, 31340, 325, 11798, 1475, 271, 269, 1704, 1475, 291, 574, 3290, 1652, 1475, 310, 22844, 1696, 620, 269, 630, 1001, 276, 6277, 10245, 347, 8649, 2222, 788, 328, 1475, 272, 269, 5400, 274, 278, 1475, 291, 574, 3290, 1652, 1475, 310, 22844, 1696, 620, 269, 630, 684, 335, 28362, 269, 1239, 10245, 21270, 332, 2222, 788, 328, 1475, 272, 269, 4391, 280, 278, 1475, 291, 574, 3290, 1652, 1475, 310, 22844, 1696, 620, 269, 630, 684, 335, 28362, 269, 1239, 10245, 347, 8649, 659, 549, 788, 328, 1475, 271, 269, 280, 2190, 1475, 291, 574, 3290, 1652, 1475, 27778, 2313, 543, 29337, 630, 1220, 273, 10245, 21270, 332, 659, 549, 788, 328, 1475, 273, 269, 273, 1475, 291, 574, 3290, 1652, 1475, 27778, 2313, 543, 29337, 630, 1220, 273, 10245, 347, 6369, 296, 1475, 276, 269, 278, 1475, 332, 273, 674, 1075, 639, 544, 6629, 273, 1475, 299, 6686, 940, 630, 3422, 280, 10245, 19064, 2752, 9953, 1475, 2641, 269, 277, 1475, 28485, 22726, 544, 6629, 273, 546, 6629, 272, 1475, 289, 7564, 1188, 543, 22859, 639, 16988, 523, 630, 1220, 271, 10245, 347, 19031, 10946, 1475, 271, 269, 271, 5325, 1475, 323, 6629, 272, 1475, 24836, 858, 1696, 620, 269, 630, 1001, 276, 12711, 10245, 347, 301, 14585, 337, 1475, 1015, 269, 275, 1475, 291, 574, 3290, 1652, 1475, 32056, 1882, 689, 3400, 858, 1696, 620, 269, 630, 1001, 276, 6277, 10245, 18871, 14585, 337, 1475, 273, 269, 278, 6246, 3451, 1475, 291, 574, 3290, 1652, 1475, 32056, 1882, 689, 3400, 858, 1696, 620, 269, 630, 1001, 276, 6277, 10245, 30106, 10946, 1475, 3451, 269, 1428, 1475, 4113, 290, 1475, 32056, 1882, 689, 3400, 858, 1696, 620, 269, 630, 1001, 276, 12711, 10245, 30106, 9953, 1475, 1626, 269, 10602, 1475, 4113, 290, 1475, 32056, 1882, 689, 3400, 858, 1696, 620, 269, 630, 1001, 276, 12711, 10245, 347, 15512, 293, 1475, 274, 269, 18357, 1475, 291, 574, 3290, 1652, 1475, 32056, 1882, 689, 3400, 858, 1696, 620, 269, 630, 1001, 276, 12711, 10245, 347, 271, 269, 1822, 2764, 1475, 28485, 4846, 6629, 272, 1475, 306, 663, 11219, 27255, 543, 23583, 630, 2735, 275, 10245, 347, 271, 269, 1822, 7918, 1475, 28485, 4846, 6629, 272, 1475, 306, 663, 11219, 27255, 543, 23583, 630, 2735, 275, 10245, 347, 298, 332, 20573, 2562, 10534, 271, 269, 23669, 274, 1475, 28485, 544, 6629, 274, 1475, 310, 718, 550, 19434, 630, 2735, 275, 10245, 347, 271, 269, 30203, 1475, 291, 574, 3290, 1652, 1475, 303, 539, 619, 523, 543, 16907, 636, 630, 1960, 277, 10245, 347, 337, 271, 1475, 271, 269, 16573, 278, 1475, 323, 6629, 272, 1475, 15812, 4526, 543, 9995, 11219, 27255, 630, 1960, 273, 10245, 347, 3918, 1475, 271, 269, 1240, 1475, 291, 574, 3290, 1652, 1475, 289, 3402, 2917, 1696, 620, 269, 630, 1960, 277, 10245, 347, 294, 6020, 267, 301, 1475, 272, 269, 21709, 1535, 476, 1015, 6629, 277, 1475, 28485, 715, 674, 1075, 639, 967, 6629, 272, 546, 6629, 272, 1475, 294, 4141, 14982, 543, 918, 18033, 961, 630, 1220, 274, 10245, 347, 17025, 296, 1475, 278, 269, 278, 1475, 291, 574, 3290, 1652, 1475, 294, 4141, 14982, 543, 918, 18033, 961, 630, 1220, 274, 10245, 347, 294, 6020, 267, 290, 1475, 2190, 269, 277, 3953, 1535, 476, 1015, 6629, 277, 1475, 28485, 595, 674, 1075, 639, 967, 6629, 272, 546, 6629, 272, 1475, 294, 4141, 14982, 543, 918, 18033, 961, 630, 1220, 274, 10245, 347, 16165, 294, 267, 301, 1475, 271, 269, 12293, 1535, 476, 1015, 6629, 277, 1475, 28485, 715, 674, 1075, 639, 967, 6629, 272, 546, 6629, 272, 1475, 294, 4141, 14982, 543, 918, 18033, 961, 630, 1220, 274, 10245, 347, 17025, 294, 1475, 272, 269, 273, 1475, 291, 574, 3290, 1652, 1475, 294, 4141, 14982, 543, 918, 18033, 961, 630, 1220, 274, 10245, 347, 16165, 294, 267, 290, 1475, 274, 269, 30020, 1535, 476, 1015, 6629, 277, 1475, 28485, 595, 674, 1075, 639, 967, 6629, 272, 546, 6629, 272, 1475, 294, 4141, 14982, 543, 918, 18033, 961, 630, 1220, 274, 10245, 347, 294, 12435, 267, 301, 1475, 271, 269, 29710, 1535, 476, 1015, 6629, 277, 1475, 28485, 715, 674, 1075, 639, 967, 6629, 272, 546, 6629, 272, 1475, 294, 583, 578, 1696, 620, 269, 630, 1001, 277, 10245, 347, 294, 12435, 267, 290, 1475, 279, 269, 8660, 272, 1535, 476, 1015, 6629, 277, 1475, 28485, 595, 674, 1075, 639, 967, 6629, 272, 546, 6629, 272, 1475, 294, 583, 578, 1696, 620, 269, 630, 1001, 277, 10245, 347, 2316, 267, 10946, 1475, 1789, 269, 5379, 280, 1475, 4113, 290, 1475, 32056, 1882, 689, 717, 6686, 331, 345, 578, 630, 1001, 276, 10245, 347, 2316, 267, 9953, 1475, 2537, 269, 26237, 1475, 4113, 290, 1475, 32056, 1882, 689, 717, 6686, 331, 345, 578, 630, 1001, 276, 10245, 347, 15512, 296, 1475, 272, 269, 24241, 1475, 291, 574, 3290, 1652, 1475, 32056, 1882, 689, 717, 6686, 331, 345, 578, 630, 1001, 276, 10245, 30106, 294, 267, 10946, 1475, 1789, 269, 277, 3953, 1475, 4113, 290, 1475, 32056, 1882, 689, 717, 6686, 331, 345, 578, 630, 1001, 276, 10245, 30106, 294, 267, 9953, 1475, 866, 269, 16960, 1475, 4113, 290, 1475, 32056, 1882, 689, 717, 6686, 331, 345, 578, 630, 1001, 276, 10245, 347, 15512, 294, 1475, 1321, 269, 9692, 1475, 291, 574, 3290, 1652, 1475, 32056, 1882, 689, 717, 6686, 331, 345, 578, 630, 1001, 276, 10245, 347, 26950, 267, 10946, 1475, 2767, 269, 28796, 1475, 4113, 290, 1475, 32056, 1882, 689, 8621, 518, 543, 654, 22844, 630, 684, 335, 28362, 269, 1239, 10245, 347, 26950, 267, 9953, 1475, 1626, 269, 279, 4817, 1475, 4113, 290, 1475, 32056, 1882, 689, 8621, 518, 543, 654, 22844, 630, 684, 335, 28362, 269, 1239, 10245, 347, 15512, 299, 1475, 274, 269, 4375, 1475, 291, 574, 3290, 1652, 1475, 32056, 1882, 689, 8621, 518, 543, 654, 22844, 630, 684, 335, 28362, 269, 1239, 10245, 5472, 2203, 13502, 4330, 538, 713, 3296, 941, 17223, 585, 2185, 4830, 6901, 267, 855, 1287, 7471, 936, 835, 3395, 4005, 540, 476, 18458, 546, 4098, 538, 5614, 267, 689, 4989, 476, 1001, 274, 547, 4728, 476, 1001, 275, 269, 634, 2203, 729, 7142, 609, 10853, 11626, 267, 3289, 5766, 1429, 545, 267, 543, 15702, 5991, 22021, 1239, 267, 799, 941, 2901, 6027, 1282, 918, 15477, 6901, 538, 519, 918, 1408, 674, 329, 867, 610, 3144, 689, 667, 310, 291, 267, 23817, 6865, 2752, 267, 543, 26993, 7838, 630, 1721, 1239, 2959, 267, 1294, 7305, 476, 272, 1040, 634, 2203, 729, 2919, 609, 948, 540, 513, 2027, 9375, 630, 24927, 19087, 15484, 15503, 1496, 290, 28566, 268, 3633, 3951, 8079, 585, 1646, 543, 6101, 6609, 540, 519, 2203, 2497, 269, 634, 595, 28566, 6383, 519, 2203, 3009, 689, 513, 30731, 10959, 269, 634, 9375, 543, 519, 595, 28566, 630, 10674, 2517, 1120, 558, 14492, 27651, 21703, 11305, 1712, 22831, 2389, 944, 11258, 264, 941, 2919, 693, 519, 2274, 30519, 714, 4659, 585, 27397, 7256, 3194, 2782, 26937, 6686, 526, 324, 269, 2353, 2838, 26398, 941, 5645, 856, 6746, 1227, 609, 519, 7384, 3301, 30731, 681, 1001, 278, 320, 630, 763, 4569, 17582, 1916, 26329, 15418, 281, 18948, 547, 918, 15477, 6901, 454, 763, 2203, 15418, 729, 6913, 676, 9236, 519, 10567, 3448, 2208, 3928, 540, 674, 1075, 639, 267, 9063, 267, 667, 2975, 543, 667, 2562, 9830, 538, 519, 918, 15477, 1216, 609, 519, 6027, 3448, 674, 1075 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 272, 540, 519, 1034, 1134, 8153, 1568, 676, 1210, 540, 513, 19504, 568, 547, 1689, 707, 7805, 5544, 269, 2334, 568, 2094, 596, 1205, 519, 7379, 4308, 609, 540, 519, 19504, 7746, 267, 799, 1223, 581, 1022, 1141, 593, 519, 4541, 563, 306, 599, 596, 1522, 581, 593, 1205, 12537, 538, 7195, 328, 543, 1616, 547, 10536, 606, 3781, 1055, 851, 3539, 547, 2648, 930, 29987, 609, 28923, 269, 12846, 267, 519, 1459, 2769, 341, 335, 333, 14703, 596, 1522, 581, 8384, 3884, 1406, 856, 972, 593, 28923, 12868, 596, 666, 946, 513, 19504, 547, 2981, 707, 7379, 2232, 630, 663, 267, 8754, 267, 707, 10423, 7746, 4087, 264, 547, 707, 2777, 4182, 267, 519, 1747, 519, 1397, 568, 11593, 2139, 269, 1635, 10139, 7161, 543, 7182, 563, 2467, 616, 513, 1906, 2101, 2409, 7270, 616, 17808, 269, 8416, 17527, 1107, 634, 23070, 540, 707, 3060, 267, 2161, 693, 1153, 610, 7500, 267, 814, 17251, 1808, 7270, 616, 711, 4847, 269, 717, 1478, 940, 7245, 24890, 1107, 1879, 519, 5313, 2229, 16976, 2386, 4950, 4609, 5749, 1406, 4847, 267, 789, 666, 3625, 873, 585, 519, 2898, 1747, 563, 10481, 334, 1532, 24286, 1107, 2201, 519, 1357, 3435, 713, 4990, 540, 607, 13334, 267, 28923, 267, 543, 18917, 1775, 32156, 4324, 689, 2520, 334, 1532, 24286, 547, 1152, 5512, 1569, 689, 1880, 2127, 540, 519, 1604, 269, 1703, 616, 3875, 1434, 1434, 4128, 547, 3625, 1569, 547, 1880, 4950, 4609, 267, 855, 713, 17527, 568, 7363, 8737, 711, 547, 9718, 7606, 855, 547, 10038, 873, 269, 13334, 267, 585, 3236, 267, 814, 1044, 17808, 693, 476, 272, 1448, 610, 513, 1114, 538, 693, 519, 1360, 2547, 476, 1839, 6082, 267, 674, 321, 568, 4628, 17808, 538, 3624, 267, 543, 634, 303, 597, 622, 29074, 568, 17808, 538, 519, 3703, 568, 956, 269, 1280, 811, 1344, 593, 519, 936, 267, 596, 666, 13182, 856, 938, 3391, 547, 796, 23026, 13334, 538, 707, 3148, 563, 6624, 4950, 4609, 676, 2933, 6615, 741, 2854, 1543, 547, 2189, 3486, 6753, 269, 28923, 543, 670, 19447, 267, 585, 14745, 267, 1459, 1585, 8021, 1759, 593, 707, 2197, 269, 4107, 7606, 4782, 519, 2407, 28923, 17048, 9425, 982, 513, 530, 23926, 16365, 2203, 563, 5445, 798, 713, 676, 6313, 519, 7379, 4308, 609, 540, 519, 5532, 1770, 267, 799, 6645, 922, 1747, 543, 20205, 519, 2854, 1543, 789, 4076, 17251, 585, 602, 1858, 269, 0, 4263, 519, 1482, 942, 267, 621, 1281, 4755, 547, 581, 3020, 268, 538, 513, 6073, 540, 6340, 269, 2353, 23597, 616, 851, 540, 853, 269, 18536, 779, 1920, 267, 1498, 519, 1209, 542, 540, 25598, 269, 1284, 2461, 782, 835, 538, 519, 7622, 540, 2696, 267, 1175, 607, 2696, 568, 835, 281, 12429, 267, 12312, 267, 543, 10513, 13336, 563, 1103, 5310, 519, 1034, 4583, 1650, 540, 1010, 1272, 267, 853, 269, 18536, 729, 7555, 538, 513, 6371, 344, 2361, 267, 3450, 513, 15624, 827, 519, 27076, 269, 3571, 19700, 267, 2705, 267, 7948, 1406, 10146, 602, 1614, 31080, 1223, 581, 835, 2696, 269, 1924, 853, 269, 18536, 13603, 909, 513, 695, 600, 13702, 267, 4951, 621, 547, 519, 1004, 267, 543, 789, 6956, 281, 2696, 568, 1614, 543, 835, 267, 1175, 607, 835, 695, 600, 13702, 814, 1614, 3762, 563, 763, 695, 600, 13702, 568, 513, 3090, 2938, 693, 1169, 853, 269, 18536, 779, 4303, 11812, 269, 1809, 621, 779, 849, 513, 3090, 540, 1018, 649, 8661, 607, 23597, 1169, 1554, 281, 2334, 7488, 540, 1141, 649, 2097, 689, 268, 8581, 610, 3127, 267, 570, 23124, 776, 610, 7033, 321, 4157, 14654, 267, 649, 616, 782, 835, 538, 2696, 269, 0, 18662, 540, 6428, 600, 4545, 320, 454, 763, 3427, 540, 6428, 600, 4545, 320, 568, 513, 2012, 585, 606, 7214, 3350, 610, 513, 1978, 1895, 540, 31188, 2103, 538, 31303, 268, 543, 27867, 10601, 8050, 543, 17577, 269, 769, 513, 3376, 2631, 267, 621, 568, 811, 610, 1447, 9838, 609, 5053, 7647, 2880, 1143, 267, 799, 849, 2882, 4589, 689, 519, 5053, 13814, 269, 769, 513, 7522, 518, 2631, 267, 519, 3427, 540, 6428, 600, 4545, 320, 4016, 547, 1079, 610, 1614, 5481, 540, 10453, 540, 12770, 632, 966, 3218, 807, 267, 945, 729, 267, 538, 1198, 267, 519, 15713, 4651, 540, 519, 1153, 538, 1312, 519, 3376, 543, 7522, 2631, 269, 2201, 519, 2898, 267, 621, 568, 811, 3730, 547, 3442, 519, 6626, 1620, 540, 519, 2165, 267, 1256, 1498, 621, 1797, 6236, 930, 5515, 945, 941, 2760, 693, 6428, 600, 4545, 320, 282, 543, 713, 1935, 814, 1044, 7550, 1934, 269, 3204, 12023, 607, 2062, 15289, 338, 540, 519, 1876, 540, 6082, 630, 3780, 8425, 1756, 1070, 789, 849, 941, 5376, 339, 5974, 8348, 547, 8977, 689, 519, 10752, 540, 17127, 267, 543, 930, 540, 873, 941, 2038, 28466, 540, 1395, 564, 30658, 9297, 269, 1358, 1759, 2933, 593, 519, 1568, 540, 7338, 13985, 21590, 855, 5433, 1863, 547, 8977, 689, 873, 267, 2523, 538, 7231, 609, 4207, 2152, 899, 5053, 7269, 538, 519, 28851, 543, 519, 4161, 540, 17557, 1143, 547, 7826, 8567, 563, 268, 476, 272, 269, 634, 2160, 540, 6428, 600, 4545, 320, 454, 268, 476, 273, 269, 12770, 632, 966, 3218, 807, 543, 3571, 2598, 3321, 454, 268, 476, 274, 269, 634, 10020, 540, 519, 20908, 7057, 454, 268, 476, 275, 269, 28613, 543, 5783, 4521, 454, 268, 476, 276, 269, 7849, 4521, 267, 11572, 7869, 543, 519, 22547, 540, 4139, 4521, 454, 268, 476, 277, 269, 594, 639, 8425, 1756, 267, 1775, 639, 740, 11350, 636, 543, 519, 3416, 331, 29713, 540, 589, 1067, 785, 2103, 267, 20338, 267, 543, 11524, 454, 268, 476, 278, 269, 9483, 7869, 454, 268, 476, 279, 269, 5450, 7469, 12695, 543, 20603, 454, 268, 476, 280, 269, 634, 21478, 540, 519, 3427, 540, 6428, 600, 4545, 320, 454, 268, 14288, 13088, 454, 268, 4033, 5769, 8249, 454, 268, 13565, 9980, 1845, 454, 272, 269, 634, 2160, 540, 6428, 600, 4545, 320, 454, 1103, 1931, 547, 1174, 519, 7811, 3344, 540, 519, 3427, 540, 6428, 600, 4545, 320, 267, 621, 568, 2556, 547, 2285, 513, 2110, 4367, 547, 519, 1686, 540, 519, 2160, 540, 6428, 600, 4545, 320, 269, 634, 1445, 786, 1287, 2490, 6140, 547, 1079, 18067, 15092, 267, 12770, 632, 966, 3218, 807, 543, 667, 4040, 334, 632, 590, 9369, 267, 543, 1079, 20908, 7057, 267, 30511, 632, 20703, 2088, 543, 12770, 2672, 5451, 30959, 267, 1498, 972, 941, 267, 540, 1576, 267, 1082, 824, 5393, 1271, 5171, 538, 519, 1585, 4610, 540, 11407, 538, 799, 519, 3427, 7722, 563, 763, 2160, 540, 6428, 600, 4545, 320, 568, 519, 9510, 9872, 540, 2362, 2069, 593, 519, 30345, 1014, 18686, 269, 589, 26720, 1153, 267, 4092, 538, 6428, 600, 4545, 320, 676, 476, 13647, 271, 267, 4607, 513, 22497, 689, 3751, 1325, 325, 517, 810, 26577, 540, 2274, 11252, 538, 476, 13199, 279, 607, 513, 968, 2102, 1968, 1153, 892, 585, 1010, 7706, 269, 634, 6042, 585, 713, 1153, 941, 1596, 592, 326, 730, 676, 3751, 1325, 325, 517, 810, 2473, 968, 601, 17939, 1470, 892, 538, 476, 10219, 275, 269, 15352, 12138, 10001, 267, 538, 476, 10219, 276, 267, 9672, 519, 5748, 540, 519, 801, 1756, 1252, 1446, 543, 24705, 1042, 593, 621, 519, 6132, 550, 807, 18451, 1664, 2703, 754, 328, 267, 513, 24080, 4570, 12689, 547, 4001, 269, 1703, 12898, 267, 6428, 600, 4545, 320, 729, 6444, 607, 513, 6280, 269, 20043, 538, 18381, 543, 1876, 941, 6035, 267, 609, 1082, 20021, 8391, 7694, 676, 519, 30345, 1014, 25267, 269, 700, 624, 999, 593, 22265, 5931, 941, 519, 1034, 1455, 1797, 540, 3450, 269, 18786, 538, 519, 6957, 18818, 2540, 267, 20485, 849, 6035, 2124, 794, 525, 267, 8156, 538, 3152, 3178, 513, 1880, 1888, 5892, 4988, 1282, 15872, 269, 2598, 1584, 725, 941, 849, 4371, 269, 18332, 19090, 1500, 1010, 2013, 585, 513, 4262, 8905, 547, 5607, 547, 519, 6280, 1354, 1010, 22116, 538, 476, 14983, 273, 563, 10521, 8037, 4121, 2367, 267, 20844, 632, 21540, 990, 807, 543, 1325, 325, 517, 810, 570, 739, 5964, 632, 8496, 3419, 531, 267, 941, 28337, 609, 519, 2160, 540, 6428, 600, 4545, 320, 538, 519, 6957, 18818, 2540, 269, 589, 2110, 2272, 540, 741, 11678, 786, 5031, 519, 2039, 540, 5784, 602, 6353, 5053, 18381, 693, 519, 6280, 538, 1346, 1296, 269, 20844, 267, 513, 7548, 540, 18381, 630, 16318, 273, 1700, 16960, 276, 1070, 15548, 538, 519, 7027, 540, 30239, 630, 16960, 272, 1700, 13893, 280, 1070, 4098, 538, 476, 16960, 273, 269, 1261, 29846, 598, 4290, 3511, 29686, 543, 6462, 519, 14985, 540, 6307, 779, 8056, 659, 3634, 1230, 4003, 269, 3571, 12591, 1331, 1093, 12661, 923, 593, 15773, 540, 519, 14643, 1996, 15352, 26290, 523, 3780, 10001, 630, 16960, 272, 1700, 13893, 278, 264, 543, 513, 3778, 540, 519, 4937, 7027, 540, 30239, 269, 20844, 729, 1500, 513, 29039, 676, 519, 25316, 2100, 21634, 1460, 966, 630, 16960, 280, 1700, 13893, 280, 5148, 855, 646, 19622, 1310, 21634, 1460, 26857, 547, 26290, 523, 3780, 779, 24288, 267, 22956, 966, 630, 13893, 278, 1700, 13970, 276, 1040, 769, 16468, 267, 20844, 5206, 593, 519, 991, 585, 5188, 609, 5771, 269, 589, 2264, 540, 1010, 31587, 2669, 630, 322, 269, 476, 13970, 279, 1070, 20844, 581, 4302, 520, 1117, 1010, 5399, 547, 519, 6280, 563, 2704, 325, 517, 810, 22513, 5451, 526, 14162, 632, 8496, 3419, 531, 267, 968, 601, 570, 739, 5964, 5608, 6026, 18381, 1354, 4742, 513, 24649, 538, 476, 13970, 275, 269, 1261, 267, 1932, 267, 6462, 519, 7027, 540, 30239, 267, 543, 646, 10268, 1010, 1702, 538, 3573, 12591, 593, 23075, 543, 3235, 27036, 20292, 1686, 269, 3571, 8778, 593, 519, 1135, 640, 29846, 2442, 20816, 538, 513, 7706, 4171, 30921, 2356, 17947, 21257, 269, 1325, 325, 517, 810, 849, 5206, 1996, 804, 518, 673, 6677, 889, 514, 720, 269, 15742, 11786, 8369, 540, 1010, 941, 3954, 6407, 547, 1312, 28831, 543, 14643, 269, 634, 10011, 27482, 29401, 20844, 632, 8776, 638, 655, 3385, 5206, 513, 16472, 540, 1325, 325, 517, 810, 779, 5784, 267, 547, 799, 646, 14452, 269, 1325, 325, 517, 810, 2663, 29846, 1010, 10752, 538, 7507, 1354, 15352, 26290, 523, 3780, 269, 968, 14976, 570, 739, 5964, 5608, 593, 1010, 2669, 267, 2451, 3297, 513, 10639, 585, 1390, 1565, 269, 630, 307, 528, 638, 655, 3385, 849, 1305, 513, 30675, 585, 20823, 24396, 6959, 267, 1034, 540, 873, 1447, 982, 646, 637, 344, 269, 634, 31213, 2016, 676, 519, 5053, 7647, 10415, 1305, 519, 3942, 585, 22679, 529, 3218, 658, 28780, 883, 14758, 6959, 1496, 309, 9298, 476, 1708, 273, 281, 476, 10844, 316, 1916, 763, 29401, 1931, 1185, 3964, 3294, 538, 6428, 600, 4545, 320, 676, 476, 14862, 275, 267, 950, 513, 21621, 3184, 729, 4371, 538, 602, 2749, 269, 634, 5572, 540, 5842, 661, 4614, 3316, 267, 6074, 607, 519, 3135, 540, 513, 801, 1756, 1252, 1446, 540, 519, 1931, 538, 476, 15782, 280, 267, 6035, 6030, 538, 8239, 267, 7954, 543, 18381, 269, 4438, 519, 2185, 18818, 2540, 267, 519, 29401, 5572, 6591, 1852, 540, 1079, 540, 519, 6280, 779, 2185, 23107, 540, 18381, 269, 769, 476, 16825, 280, 267, 6428, 600, 4545, 320, 779, 29401, 801, 1756, 4607, 689, 519, 13099, 2329, 519, 1318, 547, 8366, 4081, 5232, 269, 634, 2679, 1631, 2404, 609, 966, 3218, 807, 543, 1010, 1153, 729, 13175, 538, 476, 13923, 275, 855, 711, 8737, 2394, 476, 14065, 271, 267, 950, 519, 6280, 729, 9991, 883, 7771, 269, 1635, 602, 4266, 267, 824, 30345, 1014, 9945, 267, 2523, 1325, 5632, 5451, 543, 3213, 574, 3630, 267, 1185, 1831, 15712, 540, 6428, 600, 4545, 320, 585, 7214, 5718, 269, 630, 2704, 5632, 14504, 4597, 539, 538, 519, 1353, 540, 13400, 5931, 1496, 289, 550, 2917, 476, 2735, 274, 316, 4700, 769, 1840, 267, 519, 20908, 7057, 2968, 15712, 540, 519, 18067, 15092, 607, 3056, 15806, 543, 31188, 2103, 269, 769, 966, 3218, 807, 779, 2540, 267, 13747, 5640, 693, 6428, 600, 4545, 320, 3769, 519, 29632, 626, 6742, 27713, 632, 10897, 335, 559, 30501, 9508, 267, 945, 568, 1634, 585, 3384, 513, 1395, 564, 30658, 3069, 267, 543, 519, 23075, 7548, 15535, 528, 1470, 11829, 334, 267, 945, 2808, 519, 7872, 602, 519, 24347, 548, 7338, 1185, 840, 3737, 538, 519, 1715, 2622, 269, 634, 1909, 540, 519, 8071, 4593, 753, 538, 519, 1482, 1974, 267, 1519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2338, 616, 513, 3787, 811, 2352, 547, 1294, 267, 971, 607, 476, 272, 2496, 1692, 1082, 11680, 616, 972, 538, 835, 7484, 286, 1548, 568, 519, 15864, 1505, 547, 3313, 267, 2161, 267, 875, 1082, 1000, 657, 972, 616, 2496, 1012, 1215, 3509, 476, 273, 270, 274, 3657, 538, 589, 19067, 2496, 274, 7484, 269, 1677, 1711, 835, 7484, 267, 476, 274, 7484, 568, 3368, 540, 476, 2537, 7484, 269, 476, 1724, 7484, 543, 3368, 540, 621, 267, 610, 476, 1724, 11680, 547, 1106, 835, 2407, 7484, 267, 476, 272, 2347, 476, 2537, 7484, 267, 543, 1614, 11680, 476, 1724, 7484, 568, 519, 1482, 607, 1079, 476, 1724, 7484, 538, 835, 7484, 269, 5221, 476, 273, 568, 835, 543, 513, 3368, 2053, 476, 273, 692, 1012, 1215, 3509, 476, 273, 270, 274, 3657, 769, 589, 19067, 2496, 4415, 476, 274, 269, 274, 11680, 538, 835, 7484, 267, 649, 1590, 5173, 875, 1454, 811, 649, 991, 547, 3132, 835, 7484, 269, 1677, 3035, 713, 543, 1118, 621, 12863, 547, 14650, 267, 649, 1590, 946, 519, 6824, 1106, 540, 835, 7484, 267, 538, 713, 1383, 267, 1614, 269, 547, 3313, 875, 1082, 476, 273, 692, 2171, 917, 519, 1739, 568, 3020, 585, 476, 274, 540, 519, 2650, 281, 6333, 513, 2650, 602, 814, 1044, 8449, 8237, 883, 1614, 30556, 269, 1403, 2576, 609, 513, 642, 528, 20160, 14031, 3576, 1079, 692, 1892, 1703, 616, 476, 274, 610, 476, 272, 540, 476, 274, 2650, 21100, 6967, 269, 8307, 476, 272, 454, 1892, 476, 274, 1142, 269, 634, 4062, 602, 729, 1175, 6569, 568, 1500, 909, 540, 1079, 476, 272, 10759, 2650, 25098, 563, 1892, 476, 274, 540, 519, 2650, 269, 17006, 519, 1079, 3144, 13980, 1131, 1267, 538, 1079, 454, 1892, 1703, 568, 1175, 835, 476, 273, 538, 519, 2898, 2650, 630, 6518, 814, 2907, 1044, 3144, 1916, 1892, 476, 274, 4564, 10502, 3368, 540, 519, 21687, 4062, 269, 634, 2063, 835, 692, 274, 6829, 607, 513, 6824, 269, 1677, 4019, 713, 547, 938, 7484, 7403, 267, 2015, 519, 2898, 2650, 547, 581, 835, 7484, 267, 610, 1614, 11680, 780, 274, 7484, 269, 476, 274, 267, 610, 476, 272, 7484, 269, 1403, 649, 1616, 547, 6445, 621, 909, 547, 10502, 835, 7484, 267, 649, 1590, 1039, 3606, 476, 1724, 666, 3514, 3330, 476, 274, 1703, 568, 1175, 835, 476, 273, 692, 274, 610, 476, 272, 7484, 274, 815, 476, 3451, 1341, 476, 1321, 692, 274, 11680, 269, 476, 274, 7484, 568, 6697, 547, 3368, 540, 476, 2537, 11680, 269, 4475, 952, 596, 1039, 476, 1724, 11680, 1927, 267, 596, 1205, 476, 2537, 11680, 269, 1677, 2322, 621, 1776, 1259, 267, 1079, 476, 1724, 568, 2731, 519, 3160, 540, 1079, 476, 272, 269, 1924, 476, 273, 692, 274, 7484, 1040, 476, 274, 7484, 630, 6518, 568, 2731, 476, 1724, 7484, 543, 3368, 540, 476, 273, 11680, 264, 901, 6770, 721, 547, 938, 3932, 281, 1703, 568, 835, 476, 273, 538, 835, 7484, 780, 13434, 718, 938, 3105, 3830, 1384, 274, 610, 476, 272, 7484, 476, 3451, 7484, 630, 327, 2788, 540, 476, 2537, 7484, 9578, 476, 1321, 7484, 264, 815, 476, 274, 11680, 692, 303, 515, 342, 256, 594, 4126, 602, 4769, 1406, 12235, 596, 1055, 2439, 5719, 2718, 609, 8454, 538, 5986, 1522, 581, 16602, 693, 2053, 267, 855, 952, 596, 1205, 519, 1745, 540, 621, 543, 666, 19424, 875, 1454, 596, 991, 267, 621, 1058, 581, 2241, 547, 2268, 519, 1985, 942, 596, 991, 547, 585, 707, 11600, 780, 1012, 1215, 3509, 476, 272, 270, 274, 595, 5725, 5269, 476, 273, 270, 274, 595, 5725, 2496, 274, 11680, 269, 476, 274, 11680, 568, 6697, 547, 3368, 540, 476, 2537, 11680, 269, 476, 1724, 11680, 538, 1079, 1703, 616, 1079, 540, 873, 780, 1012, 1215, 3509, 476, 272, 270, 274, 595, 5725, 3657, 538, 476, 272, 19067, 2496, 274, 610, 476, 272, 7484, 269, 476, 274, 11680, 538, 476, 3451, 3764, 269, 2290, 7484, 568, 1500, 909, 540, 1614, 476, 1724, 7484, 269, 6333, 476, 272, 7484, 538, 6824, 1106, 267, 476, 274, 16248, 476, 272, 7484, 780, 1012, 1215, 3509, 23959, 335, 9398, 3657, 538, 476, 273, 270, 274, 595, 5725, 2496, 274, 7484, 269, 1411, 949, 946, 707, 7893, 838, 9398, 547, 2268, 476, 2537, 7484, 610, 476, 1724, 7484, 267, 543, 972, 616, 476, 1015, 26486, 543, 476, 273, 18324, 9398, 269, 1403, 596, 3605, 602, 596, 616, 7508, 707, 1079, 4340, 547, 519, 22340, 267, 538, 476, 273, 692, 1012, 2475, 9128, 8085, 19294, 3008, 13543, 16774, 661, 12702, 4353, 3201, 19006, 692, 476, 272, 23959, 335, 3019, 476, 274, 1855, 5684, 9398, 476, 272, 270, 279, 19067, 476, 273, 23959, 335, 9398, 476, 272, 270, 275, 19067, 476, 275, 23959, 335, 9398, 476, 272, 270, 274, 19067, 476, 276, 23959, 335, 9398, 1341, 476, 272, 1855, 5684, 3019, 476, 273, 270, 274, 19067, 476, 1015, 23959, 335, 9398, 1341, 476, 273, 1855, 5684, 9398, 476, 274, 270, 275, 19067, 476, 1321, 23959, 335, 9398, 476, 272, 19067, 476, 1626, 23959, 335, 9398, 476, 272, 19067, 476, 279, 29079, 744, 684, 806, 16581, 3194, 6796, 267, 22340, 692, 1012, 1215, 1684, 594, 12763, 476, 273, 270, 274, 19067, 2496, 2791, 723, 1585, 8925, 609, 476, 274, 11680, 269, 476, 273, 7403, 692, 2162, 476, 272, 269, 2422, 513, 476, 273, 270, 274, 25732, 19067, 692, 274, 7484, 269, 12763, 856, 476, 274, 11680, 269, 901, 2306, 5730, 6482, 2653, 269, 476, 273, 11153, 7893, 7484, 5036, 2270, 513, 476, 273, 7484, 780, 2162, 476, 273, 269, 19130, 513, 476, 272, 270, 274, 19067, 12763, 1107, 3828, 823, 692, 293, 650, 513, 476, 274, 7484, 7893, 7484, 7466, 269, 1411, 949, 1175, 8415, 707, 476, 1724, 7484, 267, 799, 568, 1500, 909, 540, 1079, 476, 272, 10303, 649, 917, 602, 476, 273, 692, 2162, 476, 274, 269, 2422, 2659, 25732, 1975, 9398, 692, 274, 11680, 269, 476, 274, 7484, 568, 476, 1015, 26486, 7132, 476, 273, 18324, 9398, 269, 1411, 666, 3362, 2268, 476, 2420, 952, 596, 723, 707, 7893, 838, 9398, 2139, 780, 1012, 1215, 2052, 594, 12763, 476, 272, 19067, 2496, 2252, 596, 4755, 547, 6336, 707, 835, 2275, 1575, 7893, 7484, 267, 596, 949, 2268, 835, 7484, 1210, 519, 824, 7893, 11680, 543, 7893, 838, 9398, 538, 519, 3575, 780, 1892, 476, 274, 7484, 7893, 7484, 476, 274, 7893, 11680, 9578, 476, 272, 454, 1892, 476, 274, 7893, 7484, 267, 4904, 1614, 2053, 2422, 476, 272, 454, 1892, 476, 273, 7484, 7893, 7484, 267, 7466, 4904, 2422, 476, 272, 454, 1892, 476, 275, 7893, 11680, 267, 476, 275, 2053, 4904, 2422, 476, 272, 454, 1892, 901, 568, 585, 519, 9765, 5944, 3461, 267, 855, 476, 1626, 26486, 11224, 835, 7484, 780, 1012, 2052, 594, 2422, 589, 28966, 25732, 19067, 547, 12763, 476, 273, 270, 274, 7484, 610, 476, 272, 7484, 2496, 29310, 609, 519, 3044, 3819, 7893, 11680, 267, 5277, 7893, 11680, 616, 849, 13561, 269, 1358, 2285, 519, 13418, 540, 2348, 519, 3160, 7274, 538, 5714, 13728, 10268, 593, 519, 1899, 7436, 267, 799, 568, 3226, 3730, 952, 519, 15559, 538, 707, 11600, 616, 7396, 538, 5714, 13728, 780, 272, 7484, 610, 476, 274, 11680, 286, 11048, 267, 596, 3112, 1377, 856, 7912, 950, 1210, 513, 5277, 7484, 2268, 267, 865, 713, 949, 1689, 707, 11600, 10169, 269, 4014, 711, 4998, 267, 596, 666, 2268, 707, 3819, 5820, 1210, 513, 5277, 7893, 7484, 269, 3807, 6445, 707, 3819, 5820, 547, 519, 1899, 2268, 602, 596, 1616, 267, 2436, 621, 568, 476, 273, 610, 476, 275, 11680, 780, 1012, 4208, 9701, 1284, 12763, 23123, 2496, 9288, 20011, 5820, 949, 3100, 547, 581, 513, 31484, 548, 693, 2053, 267, 855, 621, 568, 2629, 538, 5986, 543, 11256, 267, 3226, 950, 2870, 3694, 610, 14735, 780, 2162, 476, 272, 269, 25732, 5849, 602, 10346, 786, 723, 519, 1318, 5920, 267, 1106, 267, 9403, 543, 6492, 692, 9288, 20011, 5820, 2337, 721, 547, 946, 519, 2953, 5666, 540, 3334, 547, 10018, 602, 519, 8670, 7140, 856, 7157, 780, 15371, 8600, 3694, 610, 14735, 267, 606, 3606, 29537, 540, 7912, 1522, 581, 519, 3017, 1063, 513, 3811, 543, 17705, 8670, 543, 835, 602, 596, 786, 2760, 1118, 1586, 780, 2162, 476, 273, 269, 25732, 2636, 721, 547, 26134, 519, 11600, 538, 519, 2104, 692, 9288, 5501, 906, 849, 948, 721, 547, 7157, 2272, 585, 519, 3688, 649, 946, 538, 938, 10346, 267, 3850, 721, 547, 3362, 30712, 519, 8670, 538, 519, 2104, 952, 649, 6999, 547, 1118, 621, 1586, 269, 23875, 568, 811, 1167, 15758, 982, 1373, 513, 835, 3620, 527, 4898, 538, 519, 10051, 780, 2162, 476, 274, 269, 25732, 2636, 721, 547, 1832, 3950, 540, 938, 12146, 6165, 692, 2026, 649, 2268, 5820, 267, 649, 1832, 4063, 540, 875, 1454, 540, 1142, 6221, 649, 946, 267, 799, 2636, 721, 547, 1852, 938, 4616, 543, 4688, 2724, 780, 30789, 4063, 540, 875, 1454, 649, 946, 949, 948, 721, 6218, 952, 649, 991, 547, 6718, 811, 610, 1447, 540, 513, 2016, 6221, 267, 607, 1134, 607, 799, 11149, 616, 519, 1034, 1942, 15807, 585, 938, 11477, 32751, 687, 780, 1012, 1215, 1684, 594, 31418, 1176, 21079, 513, 1234, 10360, 769, 21009, 610, 769, 774, 8674, 2496, 13434, 6346, 616, 1419, 2813, 547, 3132, 1804, 5666, 267, 855, 952, 596, 2461, 1175, 5986, 585, 835, 610, 1079, 1004, 267, 519, 4781, 547, 1118, 513, 4130, 16801, 1058, 2141, 581, 3015, 780, 8139, 10051, 7893, 5973, 757, 2501, 538, 5363, 1934, 269, 4197, 875, 547, 14013, 4336, 1524, 630, 528, 4336, 909, 264, 707, 10346, 568, 513, 5578, 602, 1256, 519, 1034, 538, 23024, 27624, 1753, 27697, 666, 4324, 689, 780, 16729, 568, 513, 2596, 267, 2653, 3562, 3146, 2536, 3562, 31376, 6656, 602, 596, 949, 946, 547, 4217, 596, 4336, 1524, 513, 8670, 538, 3368, 610, 555, 8674, 780, 1012, 670, 8582, 9215, 681, 3633, 308, 4753, 589, 23414, 7709, 292, 5442, 670, 3201, 293, 6730, 5442, 8946, 7644, 9169, 692, 23414, 7709, 292, 14408, 22076, 281, 476, 272, 270, 273, 540, 519, 2549, 870, 476, 272, 270, 274, 540, 519, 2549, 870, 476, 272, 7484, 476, 272, 270, 273, 7484, 476, 272, 270, 274, 7484, 476, 274, 270, 275, 7484, 476, 277, 570, 26138, 476, 272, 270, 275, 7484, 476, 273, 270, 274, 7484, 476, 272, 270, 274, 7484, 476, 274, 570, 26138, 1341, 476, 272, 476, 272, 270, 273, 512, 4944, 476, 272, 270, 273, 7484, 476, 272, 270, 275, 7484, 476, 273, 570, 26138, 1341, 476, 273, 512, 4944, 476, 272, 270, 274, 7484, 476, 273, 512, 26138, 1341, 476, 273, 512, 4944, 476, 272, 570, 26138, 1341, 476, 273, 476, 272, 270, 275, 512, 4944, 476, 272, 270, 275, 7484, 476, 273, 570, 26138, 476, 272, 570, 26138, 1341, 476, 272, 512, 4944, 476, 272, 23959, 335, 3019, 476, 272, 476, 272, 270, 273, 512, 4944, 476, 272, 512, 4944, 476, 272, 23188, 476, 272, 270, 273, 512, 4944, 646, 12686, 476, 272, 270, 275, 23188, 476, 272, 270, 273, 23188, 476, 272, 270, 275, 23188, 476, 272, 270, 279, 512, 4944, 476, 272, 270, 275, 23188, 476, 272, 270, 279, 23188, 1085, 656, 476, 272, 270, 279, 512, 4944, 610, 513, 21686, 11905, 281, 2160, 540, 27228, 6441, 514, 11181, 4659, 540, 11982, 543, 7849, 8249, 692, 1012, 32279, 18542, 5999, 547, 1215, 3509, 476, 273, 270, 274, 3657, 769, 589, 19067, 2496, 2162, 1215, 3509, 476, 272, 270, 274, 11680, 616, 538, 476, 272, 19067, 2496, 3080, 7484, 568, 1500, 909, 540, 1614, 11680, 269, 8422, 476, 272, 692, 2162, 1215, 3509, 476, 272, 270, 274, 595, 5725, 616, 538, 476, 273, 270, 274, 19067, 2496, 274, 11680, 269, 476, 274, 7484, 568, 3368, 540, 476, 2537, 7484, 269, 476, 1724, 11680, 538, 1079, 1703, 616, 1079, 540, 873, 780, 2162, 1215, 3509, 476, 274, 270, 275, 595, 5725, 616, 538, 476, 272, 19067, 2496, 274, 540, 7484, 269, 2290, 7484, 814, 1614, 7484, 7403, 269, 8422, 11680, 1118, 1106, 513, 7484, 269, 1677, 1711, 835, 7484, 267, 596, 3580, 991, 835, 7484, 543, 835, 7484, 267, 799, 568, 476, 272, 7484, 269, 1703, 616, 835, 543, 835, 780, 1012, 10390, 547, 1215, 3509, 476, 273, 270, 274, 3657, 769, 589, 19067, 2496, 293, 10330, 607, 513, 1770, 540, 2268, 538, 5986, 543, 11256, 1522, 581, 829, 14658, 532, 693, 1101, 267, 855, 1565 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 19580, 1010, 1353, 568, 2189, 538, 519, 2631, 602, 1354, 2261, 1723, 1135, 334, 2059, 609, 1010, 1135, 334, 7015, 26141, 713, 1557, 25395, 269, 3004, 12069, 6111, 540, 2261, 1723, 1135, 334, 2272, 543, 922, 2042, 630, 22967, 6111, 540, 2261, 1723, 1135, 334, 2272, 543, 922, 538, 713, 2013, 519, 968, 10177, 12069, 540, 2261, 1723, 1135, 334, 892, 568, 269, 3778, 3594, 910, 519, 12599, 540, 2261, 1723, 1135, 334, 910, 2261, 1723, 1135, 334, 729, 4535, 538, 476, 10219, 275, 950, 621, 3315, 729, 8237, 883, 8165, 2749, 2829, 19412, 18818, 2540, 21570, 4718, 513, 5458, 2333, 269, 634, 8781, 17382, 8468, 519, 8781, 17382, 8468, 519, 8781, 17382, 4757, 11755, 1106, 6494, 11755, 13668, 547, 1196, 21389, 1430, 543, 519, 8781, 17382, 1821, 10899, 1592, 2012, 281, 552, 17733, 563, 763, 12599, 540, 2261, 1723, 1135, 334, 3594, 3405, 1723, 1135, 334, 10710, 3594, 4688, 707, 3594, 855, 930, 13915, 8969, 2436, 2261, 1723, 1135, 334, 2479, 6603, 19580, 267, 607, 1010, 22281, 2760, 269, 5589, 870, 1557, 2261, 1723, 1135, 334, 1702, 827, 824, 2197, 2261, 1723, 1135, 334, 729, 835, 540, 873, 2261, 1723, 1135, 334, 729, 519, 1101, 1268, 5189, 519, 7532, 547, 24067, 269, 3057, 1723, 1135, 334, 3594, 972, 941, 1082, 4583, 1004, 945, 941, 1634, 585, 741, 1390, 9035, 543, 741, 1390, 9060, 540, 824, 2477, 2261, 1723, 1135, 334, 729, 835, 540, 1346, 2367, 269, 1403, 707, 5098, 593, 1357, 2533, 3354, 21120, 1148, 17440, 10486, 543, 3604, 568, 22281, 1557, 2261, 1723, 1135, 334, 1175, 1472, 519, 7944, 543, 596, 723, 9748, 540, 563, 268, 3962, 2985, 540, 707, 1557, 27412, 476, 1691, 16481, 333, 10599, 25917, 543, 2261, 1723, 1135, 334, 941, 2147, 538, 602, 1312, 630, 272, 264, 2518, 1686, 543, 11585, 563, 268, 1411, 723, 711, 10710, 1022, 3594, 2429, 1686, 972, 814, 2141, 1044, 519, 2243, 540, 2261, 1723, 1135, 334, 781, 7045, 547, 19580, 519, 2951, 547, 563, 268, 5788, 2070, 543, 4647, 2261, 1723, 1135, 334, 3594, 1806, 849, 3605, 3584, 267, 10643, 267, 14592, 267, 5098, 6898, 267, 543, 8753, 585, 707, 2261, 1723, 1135, 334, 1557, 563, 2690, 835, 1032, 538, 7890, 267, 646, 1558, 513, 5856, 1572, 15309, 7865, 14561, 540, 533, 13453, 2261, 1723, 1644, 5693, 547, 1864, 2984, 540, 2261, 1723, 779, 12599, 543, 2833, 538, 19580, 267, 799, 1287, 2968, 513, 1433, 519, 2951, 540, 2261, 1723, 1135, 334, 538, 519, 4832, 540, 476, 15782, 280, 267, 2261, 1723, 1135, 334, 729, 5950, 689, 7890, 538, 1024, 10394, 543, 8120, 1753, 538, 9006, 823, 1141, 646, 1185, 1044, 5329, 3257, 1870, 538, 269, 3057, 1723, 1135, 334, 2968, 4583, 585, 1010, 1082, 12599, 267, 4358, 609, 513, 7552, 547, 607, 807, 602, 3459, 538, 476, 14096, 272, 1010, 1433, 827, 1010, 12599, 2968, 835, 540, 519, 1034, 4583, 2951, 2835, 269, 634, 3483, 540, 713, 4199, 1299, 2534, 1433, 568, 547, 948, 1453, 1451, 543, 11677, 519, 1650, 6249, 585, 1346, 530, 5109, 547, 2417, 1353, 519, 1272, 540, 2261, 1723, 1135, 334, 269, 2296, 2123, 22281, 1557, 513, 2688, 1557, 3732, 593, 7005, 2123, 22281, 22281, 3140, 22281, 281, 2261, 1723, 1135, 334, 543, 1010, 22116, 547, 19580, 563, 13434, 870, 1557, 2261, 1723, 1135, 334, 305, 730, 476, 274, 270, 276, 1759, 593, 476, 2641, 2689, 0, 13563, 6469, 1272, 1310, 1158, 2112, 13797, 1557, 454, 20124, 1557, 1158, 2112, 13797, 729, 519, 1034, 16160, 4108, 4655, 519, 1158, 814, 2479, 689, 1312, 25469, 267, 1082, 14797, 267, 543, 12303, 1169, 10703, 22133, 3802, 540, 1272, 543, 5302, 27935, 2175, 1312, 1369, 519, 4108, 543, 593, 519, 1753, 4395, 519, 1739, 4930, 723, 1044, 5697, 547, 948, 3391, 3988, 945, 1616, 547, 269, 1548, 781, 519, 3017, 1063, 1158, 2112, 1775, 543, 1158, 2112, 13797, 519, 16167, 1895, 15538, 540, 535, 8896, 267, 31564, 267, 519, 721, 267, 519, 865, 341, 2884, 9769, 267, 543, 19580, 972, 729, 513, 4411, 2112, 1063, 519, 8087, 2829, 543, 678, 17892, 1310, 519, 1439, 540, 1310, 519, 2112, 27437, 10645, 602, 519, 7952, 729, 1412, 560, 629, 5523, 538, 519, 1394, 262, 676, 4838, 693, 1753, 269, 634, 5540, 32685, 4512, 1185, 593, 13314, 3594, 16447, 2112, 13797, 1185, 606, 1799, 29342, 9092, 1860, 593, 519, 2022, 21351, 5736, 22234, 1082, 1713, 2242, 538, 519, 2729, 540, 22988, 2813, 16854, 16132, 538, 519, 1753, 1272, 543, 2123, 2729, 267, 7141, 269, 1548, 729, 1272, 899, 585, 22988, 538, 2038, 632, 4895, 476, 3707, 272, 29235, 1296, 1310, 10024, 1158, 2112, 13797, 267, 519, 8087, 2829, 568, 18138, 513, 2112, 538, 563, 5804, 519, 4015, 547, 519, 4928, 568, 513, 19180, 4199, 585, 3450, 621, 18271, 3594, 543, 3992, 4566, 602, 1331, 513, 3638, 5044, 540, 2200, 31539, 31150, 1775, 723, 2907, 4956, 602, 519, 1985, 942, 602, 1775, 4001, 1250, 1158, 2112, 13797, 1362, 267, 835, 1554, 1310, 519, 25337, 4323, 593, 519, 721, 17189, 3490, 693, 27081, 22426, 267, 519, 269, 634, 10351, 753, 1147, 16781, 1229, 547, 519, 8087, 2829, 540, 13314, 543, 741, 24027, 593, 694, 4697, 476, 273, 267, 476, 3707, 271, 267, 5176, 513, 1032, 1310, 519, 1158, 2112, 13797, 3459, 267, 21099, 2759, 1562, 543, 7192, 549, 2389, 12541, 573, 6598, 6469, 22063, 941, 4712, 1491, 5413, 540, 5180, 519, 7944, 30286, 267, 914, 707, 1272, 568, 1945, 789, 9513, 267, 543, 952, 596, 269, 8409, 3604, 11735, 267, 519, 1557, 9607, 519, 1482, 7613, 602, 519, 8710, 3459, 609, 519, 12176, 540, 1158, 2112, 1775, 538, 27362, 476, 4489, 275, 5176, 1169, 7819, 540, 1022, 3802, 540, 1272, 530, 5803, 909, 547, 519, 7872, 267, 519, 8594, 540, 1079, 4374, 1310, 519, 29855, 540, 519, 561, 10719, 267, 519, 5428, 781, 18322, 1308, 3401, 269, 634, 2842, 5645, 519, 24037, 3154, 267, 799, 729, 1079, 7146, 8584, 28451, 2053, 18219, 982, 2011, 267, 538, 519, 2922, 32604, 540, 19742, 1272, 543, 1946, 789, 1131, 6414, 1279, 1310, 519, 2112, 729, 8737, 538, 740, 600, 554, 5255, 338, 18876, 781, 1557, 827, 519, 4655, 267, 547, 1439, 782, 10617, 267, 1310, 519, 2112, 519, 31390, 604, 1235, 1185, 15861, 569, 811, 3310, 982, 563, 763, 1909, 540, 519, 7819, 1920, 538, 1158, 2112, 13797, 538, 519, 1686, 540, 519, 8087, 2829, 540, 1739, 519, 27081, 22426, 4323, 538, 476, 3707, 272, 267, 1317, 519, 8087, 2829, 1336, 941, 1631, 2324, 2407, 942, 543, 2943, 941, 1869, 3843, 547, 2226, 741, 1753, 1272, 269, 1879, 519, 4965, 8694, 543, 1158, 2112, 13797, 3459, 267, 3885, 2941, 539, 609, 6469, 2270, 618, 607, 513, 1259, 540, 1272, 729, 18674, 676, 7819, 6107, 267, 945, 519, 4473, 540, 519, 2022, 11897, 12009, 4346, 267, 1759, 538, 1344, 543, 269, 25392, 519, 5107, 540, 1312, 2367, 543, 2021, 1282, 1158, 2112, 1007, 538, 15376, 28642, 3434, 281, 519, 16831, 1137, 6760, 27825, 3370, 676, 721, 1034, 6082, 849, 1572, 2390, 543, 9976, 2021, 607, 11299, 267, 519, 11347, 540, 1920, 1272, 543, 6469, 640, 2070, 2592, 689, 713, 6221, 630, 1556, 269, 6258, 27314, 1158, 2112, 476, 273, 5013, 609, 28571, 2520, 334, 3214, 1451, 782, 827, 519, 2621, 602, 4957, 519, 2729, 540, 6634, 538, 938, 1158, 2112, 476, 273, 5013, 1310, 5734, 2401, 15189, 547, 3247, 519, 12289, 267, 31564, 543, 535, 8896, 10294, 2112, 593, 27437, 593, 476, 279, 632, 4895, 476, 3707, 272, 630, 1492, 1360, 1985, 1554, 1070, 519, 721, 10294, 2112, 593, 30978, 543, 267, 538, 2490, 27260, 763, 5399, 540, 13314, 781, 1007, 16320, 1108, 7710, 1158, 2112, 1775, 609, 6589, 689, 1004, 2929, 22988, 1185, 6039, 538, 519, 11439, 4229, 543, 476, 14138, 267, 3583, 279, 1185, 4503, 741, 2729, 968, 8117, 1310, 519, 2112, 267, 530, 12291, 2919, 513, 1454, 811, 27763, 5075, 547, 607, 7980, 8120, 1753, 543, 519, 11802, 1612, 3547, 535, 12184, 267, 519, 4339, 936, 519, 269, 634, 1753, 4395, 32685, 273, 568, 519, 2012, 2016, 547, 519, 1198, 540, 519, 2112, 593, 1004, 781, 1310, 6031, 1434, 25742, 547, 741, 3237, 789, 24964, 676, 5721, 610, 676, 16455, 547, 741, 1034, 540, 1346, 17355, 18050, 1185, 1100, 2856, 1018, 741, 1272, 607, 606, 17355, 826, 324, 1131, 581, 899, 6862, 538, 519, 721, 320, 29534, 4073, 13122, 1282, 1158, 2112, 1079, 26106, 698, 1663, 1111, 9340, 795, 17989, 269, 634, 8717, 1739, 1158, 2112, 13797, 568, 23816, 569, 15422, 607, 513, 1974, 540, 13314, 1185, 4465, 519, 2112, 543, 17204, 519, 4229, 540, 9409, 538, 519, 1158, 693, 782, 2157, 20039, 585, 476, 4649, 2600, 540, 14407, 6469, 1587, 630, 326, 31389, 269, 7033, 5202, 1753, 2985, 519, 7127, 540, 519, 8087, 2829, 883, 1158, 2112, 13797, 3361, 5318, 2242, 538, 2679, 593, 519, 2804, 3490, 2451, 1310, 519, 2112, 267, 7819, 2486, 2968, 811, 3413, 23308, 538, 519, 2022, 8705, 711, 782, 22988, 15548, 8449, 538, 891, 9750, 1272, 3255, 543, 538, 519, 3395, 2804, 13884, 563, 13563, 6469, 1272, 1310, 1158, 2112, 13797, 1557, 454, 763, 1753, 4395, 540, 519, 8087, 2829, 538, 1158, 2112, 13797, 6462, 519, 2112, 4674, 538, 1082, 2081, 267, 1169, 2460, 540, 1272, 689, 6214, 547, 2123, 9806, 4957, 950, 2322, 593, 513, 1034, 3885, 941, 21248, 476, 274, 721, 17529, 630, 1556, 561, 476, 1839, 791, 7523, 264, 540, 17405, 513, 3018, 267, 693, 519, 1439, 540, 519, 2112, 267, 1034, 540, 519, 544, 684, 1431, 6194, 6009, 8694, 269, 24722, 7819, 4108, 3609, 3823, 17051, 1282, 1158, 2112, 13797, 666, 1655, 581, 513, 1032, 2663, 519, 7286, 24767, 15861, 922, 1101, 17051, 922, 1279, 2245, 630, 26238, 476, 9692, 279, 264, 540, 1158, 2112, 13797, 267, 899, 1158, 2112, 1775, 267, 1185, 513, 2101, 1764, 593, 3109, 7819, 1272, 2328, 513, 476, 4335, 30087, 1557, 9236, 519, 2126, 540, 17051, 607, 1158, 2112, 13797, 269, 1977, 1686, 281, 1272, 538, 519, 721, 1310, 1158, 2112, 1079, 632, 4895, 476, 2764, 267, 476, 1220, 277, 7980, 3459, 547, 2097, 1753, 543, 1265, 890, 659, 8135, 6009, 2872, 563, 268, 769, 713, 1557, 1775, 2689, 930, 540, 519, 2487, 14172, 593, 519, 2112, 543, 875, 621, 568, 3344, 540, 1753, 1922, 3224, 2112, 2528, 267, 2808, 519, 1909, 540, 2021, 1282, 519, 2112, 1296, 267, 938, 2022, 268, 280, 270, 1556, 840, 21232, 566, 609, 2229, 13178, 540, 1761, 519, 3804, 540, 2870, 606, 7819, 9111, 538, 799, 3109, 2729, 20974, 1229, 563, 268, 1403, 596, 2811, 1603, 513, 1382, 1957, 827, 1158, 2112, 13797, 630, 528, 1022, 824, 1888, 1070, 596, 3513, 19052, 22988, 543, 2924, 910, 1018, 1764, 1705, 519, 2112, 1296, 723, 593, 519, 2924, 540, 19052, 268, 15330, 15092, 1007, 1913, 910, 1018, 1007, 6863, 1913, 7153, 1282, 543, 1310, 32685, 4512, 24279, 910, 875, 1705, 1920, 1272, 1689, 563, 294, 529, 538, 1158, 2112, 13797, 941, 24016, 547, 2015, 1018, 741, 2022, 21351, 1753, 2053, 264, 1732, 2713, 267, 519, 6728, 530, 6782, 1259, 540, 1272, 267, 543, 7819, 2511, 269, 5131, 1557, 281, 1310, 519, 1439, 540, 1158, 2112, 13797, 267, 519, 8087, 2829, 4682, 998, 713, 729, 2219, 547, 1118, 585, 513, 1732, 2298, 540, 1272, 543, 513, 6793, 6046, 1920, 519, 1547, 901, 568, 519, 4013, 1753, 2985, 540, 519, 7819, 2587, 639, 7681, 269, 1879, 32685, 273, 13264, 856, 267, 519, 2021, 540, 31564, 6854, 519, 2197, 3001, 2899, 1586, 538, 606, 2085, 540, 2698, 2112, 267, 875, 1705, 519, 4655, 1689, 741, 2729, 519, 1289, 547, 7916, 538, 2338, 281, 2021, 538, 32685, 273, 4945, 762, 281, 538, 741, 1378, 1913, 1753, 6653, 1753, 607, 1310, 32685, 272, 267, 972, 729, 606, 13429, 602, 741, 10151, 5107, 1185, 1044, 269, 0, 272, 19294, 13975, 271, 14581, 476, 272, 269, 14419, 519, 14965, 3196, 25116, 676, 513, 269, 634, 7599, 593, 519, 3618, 267, 1210, 519, 1739, 1239, 269, 5269, 2386, 602, 596, 1397, 707, 960, 7136, 540, 7599, 2433, 544, 544, 815, 476, 278, 269, 3374, 265, 1015, 476, 2420, 4846, 7136, 540, 3618, 2433, 544, 552, 815, 476, 276, 269, 9032, 277, 265, 1015, 476, 2190, 4846, 7101, 3780, 540, 7599, 2433, 678, 544, 815, 476, 272, 269, 278, 4343, 265, 1015, 476, 277, 544, 7101, 3780, 540, 3618, 2433, 678, 552, 815, 476, 277, 269, 278, 4029, 265, 1015, 476, 277, 544, 20028, 1063, 7599, 1299, 3618, 2433, 476, 274, 269, 279, 4510, 265, 1015, 476, 279, 544 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 6092, 5149, 281, 20616, 1143, 267, 2598, 335, 1601, 11970, 267, 543, 519, 12472, 540, 519, 4521, 540, 519, 7256, 281, 589, 10312, 593, 4639, 4000, 692, 296, 269, 4985, 692, 763, 4521, 540, 519, 7256, 267, 849, 1634, 607, 519, 2136, 8315, 13482, 593, 519, 4521, 540, 519, 7256, 630, 7419, 12710, 5308, 1070, 568, 606, 3486, 6876, 602, 11225, 519, 2924, 543, 9021, 540, 2829, 3823, 519, 946, 540, 519, 1158, 781, 12084, 267, 9591, 4808, 585, 4213, 267, 519, 1604, 267, 543, 519, 2359, 540, 7286, 2067, 2200, 269, 634, 4521, 540, 519, 7256, 814, 7960, 936, 942, 267, 10452, 4657, 2797, 267, 2804, 267, 543, 1514, 6381, 269, 769, 1880, 267, 519, 9371, 540, 19525, 5170, 547, 3337, 519, 3656, 5943, 12044, 519, 12084, 267, 3226, 538, 4525, 899, 4639, 4000, 1141, 3864, 7060, 13684, 741, 786, 593, 6805, 5095, 269, 901, 1576, 1770, 7710, 891, 2152, 538, 3178, 267, 6313, 519, 2078, 1063, 7810, 7006, 1601, 11970, 267, 3140, 3965, 267, 543, 519, 4720, 540, 519, 4521, 540, 519, 7256, 538, 4639, 4000, 780, 2862, 269, 8466, 17461, 281, 634, 2480, 1090, 1076, 585, 4000, 543, 519, 20520, 540, 20616, 645, 7451, 692, 2414, 1174, 519, 4207, 6214, 540, 519, 4521, 540, 519, 7256, 538, 4639, 4000, 267, 621, 568, 2556, 547, 4983, 519, 3140, 2796, 540, 3864, 17091, 543, 519, 791, 3789, 540, 7810, 10665, 269, 22073, 538, 519, 3735, 476, 866, 628, 2540, 267, 3864, 7060, 7722, 538, 513, 1184, 540, 7920, 6735, 585, 1852, 936, 3979, 11182, 267, 3056, 547, 1018, 814, 1831, 1634, 607, 519, 834, 9928, 1090, 1076, 585, 4000, 1701, 4438, 713, 1974, 267, 3864, 6082, 5258, 909, 1804, 13980, 540, 519, 11782, 267, 1419, 1510, 2543, 585, 840, 25365, 2797, 610, 2686, 6302, 269, 1306, 851, 540, 713, 1184, 267, 789, 3964, 1007, 17535, 10665, 267, 1642, 574, 1746, 9381, 10851, 543, 10747, 12600, 2804, 10851, 630, 7417, 313, 338, 264, 1759, 593, 3741, 540, 16133, 543, 16285, 780, 4322, 9241, 2813, 10665, 1185, 7096, 6286, 585, 1312, 519, 1004, 2713, 2059, 519, 5032, 543, 1346, 23493, 2417, 24654, 269, 1280, 3236, 267, 2757, 10068, 12406, 941, 10393, 1055, 29438, 1080, 547, 2199, 2950, 945, 1185, 16941, 2390, 873, 585, 5481, 269, 5047, 267, 519, 5137, 540, 661, 292, 313, 338, 3908, 1569, 547, 3407, 7286, 2200, 971, 607, 3282, 267, 3154, 267, 543, 6886, 267, 2870, 1007, 3029, 540, 5763, 543, 1379, 13103, 1063, 7810, 7060, 543, 6805, 2516, 780, 7656, 269, 1546, 3712, 517, 1436, 543, 519, 9622, 10885, 540, 1715, 13751, 15753, 3311, 692, 16729, 2622, 2782, 4083, 267, 972, 729, 3395, 2604, 593, 3864, 7060, 547, 28160, 1125, 741, 18246, 22590, 269, 1717, 267, 519, 9371, 540, 19525, 7283, 7184, 11251, 538, 519, 3656, 3889, 12044, 519, 12084, 1472, 4000, 269, 3509, 2022, 24645, 6608, 17388, 547, 7682, 741, 19988, 2924, 936, 17535, 5624, 267, 6849, 4187, 689, 5449, 7810, 7060, 945, 8179, 547, 2226, 1852, 936, 7580, 2200, 269, 898, 7012, 1405, 2394, 519, 2038, 476, 3192, 271, 338, 602, 519, 3486, 2146, 3459, 27410, 513, 1007, 3656, 12512, 585, 519, 12084, 267, 28285, 538, 519, 10073, 540, 6167, 12710, 5308, 538, 476, 2735, 273, 780, 8601, 922, 11636, 3853, 267, 6167, 12710, 5308, 1705, 2370, 547, 2232, 519, 7293, 16526, 10419, 18050, 676, 19525, 269, 5502, 267, 621, 18674, 4540, 1379, 6384, 267, 26587, 3152, 3310, 547, 3532, 2829, 1247, 8589, 1944, 4130, 267, 1447, 2919, 2477, 269, 1280, 1383, 267, 9137, 476, 25313, 540, 6167, 12710, 5308, 2636, 585, 519, 27402, 540, 24845, 21308, 1063, 2829, 267, 3927, 1327, 6362, 538, 3105, 11650, 602, 949, 581, 30369, 547, 1978, 6105, 269, 3958, 267, 14074, 11341, 547, 519, 14226, 540, 26026, 539, 7777, 2200, 3870, 4359, 4853, 1242, 11615, 693, 519, 13258, 540, 3384, 2477, 780, 4353, 269, 29570, 8466, 29362, 281, 4197, 20616, 6181, 9313, 543, 4256, 8177, 593, 2817, 630, 663, 4139, 264, 16572, 540, 519, 7256, 692, 2026, 12006, 4505, 267, 1382, 5342, 896, 519, 513, 22273, 1182, 540, 519, 2290, 7909, 16735, 11394, 547, 10625, 519, 3140, 5072, 540, 1459, 6377, 3656, 10850, 12044, 519, 12084, 269, 13018, 267, 5640, 899, 6424, 14355, 1445, 593, 875, 7810, 23543, 3136, 547, 1860, 519, 1646, 540, 3084, 543, 3486, 4031, 540, 519, 4262, 538, 4639, 4000, 269, 1635, 7421, 31150, 2326, 267, 5711, 12583, 267, 543, 824, 2959, 540, 2963, 267, 3173, 4126, 547, 8774, 1769, 593, 519, 1950, 16799, 1063, 2250, 543, 1459, 267, 13031, 6456, 6386, 543, 4101, 8789, 27964, 4478, 519, 4521, 540, 519, 7256, 780, 1103, 519, 2013, 540, 19168, 267, 585, 3236, 267, 5571, 13882, 609, 15231, 2829, 936, 17535, 6302, 9414, 519, 29886, 2360, 540, 19525, 269, 6736, 8236, 7115, 538, 476, 4198, 278, 267, 19168, 3788, 2377, 549, 6150, 538, 10465, 22195, 609, 595, 20110, 974, 546, 262, 296, 17383, 790, 543, 570, 690, 334, 267, 16079, 532, 13253, 12082, 538, 519, 17062, 6498, 540, 8513, 1282, 519, 7810, 5736, 269, 27557, 547, 4786, 856, 891, 3140, 4030, 1223, 5732, 1217, 2104, 16395, 267, 4543, 547, 1628, 811, 12581, 543, 4264, 4485, 547, 5883, 3838, 17535, 2200, 780, 309, 269, 17992, 894, 7909, 26291, 543, 11879, 1323, 26087, 525, 540, 519, 9791, 19004, 692, 7661, 267, 713, 1576, 1770, 15109, 519, 1761, 585, 13710, 5836, 10350, 543, 9691, 2708, 525, 6932, 3466, 2404, 609, 519, 865, 10777, 9791, 19004, 269, 2060, 2810, 2518, 3007, 5059, 593, 519, 4264, 1646, 540, 30173, 2200, 267, 972, 568, 3395, 6284, 540, 519, 991, 585, 5499, 3435, 602, 3666, 2825, 4027, 267, 14227, 2640, 267, 543, 2463, 585, 2686, 4763, 780, 9558, 845, 894, 5836, 10350, 11363, 519, 2956, 540, 29355, 3375, 6194, 3157, 267, 4180, 602, 782, 8639, 31251, 13840, 12790, 2950, 1765, 17647, 513, 5639, 538, 5935, 4507, 7133, 519, 12084, 269, 6270, 606, 1935, 3340, 513, 13857, 1620, 540, 519, 2081, 538, 799, 19525, 814, 8032, 4207, 3656, 10850, 267, 14344, 519, 1909, 540, 1379, 12623, 5471, 1845, 543, 8362, 5275, 547, 2699, 816, 8978, 4636, 338, 780, 20118, 267, 2565, 9382, 540, 519, 9791, 19004, 5031, 519, 4220, 2404, 609, 4608, 15560, 10343, 540, 2344, 2861, 3435, 547, 5836, 10350, 2591, 269, 2755, 28288, 8044, 602, 19713, 519, 1761, 540, 30173, 2200, 666, 5397, 4264, 2208, 543, 6710, 5786, 267, 13915, 25077, 602, 683, 565, 28515, 3631, 540, 4199, 10868, 1981, 12615, 908, 4540, 16526, 543, 14944, 1456, 3646, 547, 2149, 17866, 8134, 780, 9654, 269, 10390, 692, 1607, 1576, 1770, 814, 8268, 519, 1950, 2078, 1063, 19525, 267, 7006, 1601, 11970, 267, 543, 519, 4720, 540, 519, 4521, 540, 519, 7256, 538, 4639, 4000, 269, 3414, 6297, 6514, 540, 3140, 4282, 267, 3656, 10850, 267, 543, 28928, 3466, 267, 1053, 1058, 1631, 4865, 513, 4514, 7071, 585, 519, 11972, 5222, 540, 19525, 593, 4207, 5836, 10350, 2853, 269, 20331, 609, 713, 1702, 267, 789, 786, 581, 1732, 9280, 547, 4497, 538, 5483, 9840, 827, 519, 2104, 4287, 540, 519, 4521, 540, 519, 7256, 267, 14957, 585, 13710, 1689, 16135, 538, 3741, 540, 5126, 267, 9698, 267, 543, 6940, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2108, 2171, 991, 547, 723, 513, 2620, 3140, 4656, 540, 519, 3157, 998, 799, 7087, 9082, 723, 1044, 7006, 1601, 612, 539, 540, 741, 2924, 998, 7810, 3157, 892, 1107, 1452, 616, 519, 1913, 540, 6424, 14355, 267, 513, 14787, 689, 5899, 987, 322, 569, 1372, 2160, 630, 4910, 792, 7815, 538, 7216, 7073, 31845, 543, 13677, 3778, 1040, 1261, 568, 835, 540, 519, 1082, 3173, 2324, 29050, 1369, 519, 2290, 7909, 16735, 267, 538, 519, 10167, 1063, 13710, 5836, 10350, 267, 15889, 543, 30608, 6561, 267, 22232, 1876, 543, 4020, 1947, 2565, 9382, 540, 519, 9791, 19004, 538, 4639, 543, 8828, 4000, 630, 294, 327, 3570, 267, 3162, 4000, 267, 21601, 28992, 264, 543, 519, 3162, 7414, 630, 4067, 569, 21125, 11866, 543, 674, 25702, 1916, 21837, 779, 960, 568, 5097, 2519, 593, 7178, 4000, 543, 5885, 19168, 1014, 3173, 538, 11837, 3140, 4030, 602, 666, 948, 721, 1174, 875, 7810, 23543, 723, 12936, 543, 3366, 547, 519, 1646, 540, 3084, 630, 663, 3486, 264, 4031, 540, 519, 7256, 269, 6424, 6663, 547, 7291, 519, 1279, 543, 4797, 1764, 602, 713, 814, 593, 9156, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 32045, 1315, 4139, 1315, 4521, 540, 519, 7256, 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, 7170, 281, 1215, 547, 15233, 519, 11660, 6396, 547, 2549, 880, 543, 631, 3317, 31354, 18181, 692, 7072, 912, 4407, 1082, 1004, 12314, 519, 3621, 1505, 609, 2978, 25151, 543, 1449, 13740, 267, 713, 9836, 1935, 547, 1966, 6061, 666, 849, 581, 4294, 547, 4948, 2238, 899, 5986, 269, 901, 568, 2523, 3020, 950, 3695, 6237, 543, 2686, 32345, 971, 607, 1346, 1336, 538, 2549, 880, 543, 631, 3317, 31354, 2950, 269, 1635, 5402, 11287, 5820, 267, 24370, 1944, 11600, 4093, 267, 4152, 707, 11477, 6436, 267, 543, 7421, 2164, 267, 596, 666, 15052, 707, 1620, 543, 7071, 540, 2757, 8286, 1247, 17975, 707, 1378, 5986, 1983, 269, 2913, 781, 2263, 875, 547, 3927, 8415, 519, 3621, 1505, 538, 2549, 880, 543, 631, 3317, 31354, 5986, 2439, 3721, 476, 272, 281, 16294, 2659, 7726, 610, 9046, 454, 24375, 676, 7114, 513, 2243, 610, 4161, 1644, 547, 2549, 880, 543, 631, 3317, 31354, 5986, 602, 596, 1131, 899, 547, 8495, 2417, 269, 1280, 1383, 267, 596, 949, 1616, 547, 1174, 1946, 1978, 5820, 616, 1031, 1927, 267, 610, 3313, 952, 513, 1880, 4480, 11729, 1732, 2164, 982, 1776, 835, 269, 5269, 2386, 707, 2243, 568, 1808, 2614, 547, 3391, 707, 1382, 855, 3376, 2614, 547, 1450, 4055, 585, 3408, 780, 7659, 9133, 281, 4813, 6819, 2789, 2055, 786, 5512, 596, 547, 10994, 1896, 2127, 540, 1719, 1282, 707, 7634, 780, 3721, 476, 273, 281, 18430, 17461, 3194, 454, 293, 13399, 1125, 3054, 609, 4540, 1702, 827, 2549, 880, 543, 631, 3317, 31354, 5986, 2853, 676, 17874, 3434, 9248, 267, 7270, 267, 21075, 267, 4081, 4930, 267, 610, 1256, 5967, 532, 2043, 945, 20647, 538, 713, 1858, 269, 20283, 532, 4282, 1344, 786, 948, 2327, 602, 707, 8367, 3884, 1405, 2907, 4922, 7608, 610, 16355, 1597, 543, 1683, 2796, 585, 707, 17634, 780, 3721, 476, 274, 281, 3763, 513, 29138, 454, 17780, 593, 707, 3355, 2243, 543, 4282, 1382, 267, 1020, 513, 2312, 543, 13801, 3948, 24152, 707, 4397, 6364, 269, 1280, 3236, 267, 952, 14236, 2436, 561, 731, 7472, 1166, 752, 1512, 2650, 2267, 7370, 3379, 547, 7423, 267, 707, 8367, 1522, 1224, 281, 834, 299, 731, 5932, 513, 811, 10347, 543, 1166, 21294, 9403, 538, 2650, 2267, 7370, 982, 7423, 1813, 547, 922, 2362, 13621, 1448, 1701, 5457, 267, 693, 713, 3942, 267, 596, 616, 1818, 606, 13473, 7058, 1759, 593, 2139, 1239, 1107, 972, 568, 1100, 991, 547, 6961, 610, 16355, 557, 4376, 2943, 780, 3721, 476, 275, 281, 5071, 543, 13079, 1393, 2659, 15331, 454, 8620, 513, 1544, 24223, 10502, 875, 596, 786, 1449, 707, 8367, 998, 3946, 6823, 5986, 269, 10576, 782, 2556, 2326, 630, 324, 3052, 1421, 5820, 267, 3937, 264, 543, 7291, 5773, 5693, 269, 4495, 3388, 568, 5423, 267, 2932, 707, 4603, 2687, 547, 707, 1374, 269, 16680, 7422, 2429, 519, 3003, 1184, 267, 15663, 1022, 27753, 1063, 4890, 543, 17191, 2621, 780, 7659, 23988, 281, 1677, 2226, 11007, 543, 6111, 267, 1152, 1689, 835, 4756, 693, 513, 942, 1282, 707, 4603, 269, 1403, 9236, 1079, 1114, 9600, 267, 1832, 782, 824, 2188, 630, 7945, 607, 2837, 267, 11544, 2553, 267, 3092, 4700, 3586, 780, 3721, 476, 276, 281, 21302, 11778, 454, 5475, 11264, 707, 4603, 267, 6218, 519, 4681, 1996, 707, 3312, 8367, 269, 9894, 519, 2164, 1489, 610, 17591, 707, 6788, 286, 6333, 1761, 4128, 585, 27753, 267, 2921 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5322, 8761, 11495, 19320, 543, 11651, 326, 1878, 1471, 268, 14504, 23724, 14227, 989, 31789, 269, 715, 305, 16039, 3335, 17611, 1787, 4244, 19824, 267, 5499, 12496, 540, 27403, 267, 543, 23349, 12331, 540, 3919, 267, 6466, 4909, 1235, 4043, 547, 12167, 7453, 15984, 547, 2757, 10752, 267, 31249, 9299, 343, 529, 267, 543, 21712, 5718, 269, 6736, 891, 3604, 267, 1312, 2010, 4497, 8362, 609, 10296, 4145, 899, 4008, 5107, 267, 4638, 544, 2803, 267, 2825, 19642, 267, 543, 23786, 12602, 267, 6028, 30170, 791, 29251, 593, 2804, 11407, 543, 3609, 5250, 780, 3528, 3695, 519, 3638, 13795, 18955, 676, 4984, 543, 2804, 1686, 267, 1053, 11349, 2565, 3206, 1983, 2556, 585, 26762, 1950, 9259, 5935, 1480, 2833, 5001, 269, 3414, 11826, 6514, 540, 6086, 633, 267, 6198, 267, 543, 23913, 18125, 540, 4984, 267, 13745, 609, 22987, 540, 3309, 10721, 19383, 267, 649, 796, 24160, 8903, 6386, 20515, 8103, 781, 2781, 553, 6804, 1391, 585, 2495, 267, 3483, 267, 543, 13884, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 27324, 31692, 880, 1063, 8101, 267, 6198, 267, 543, 1920, 11696, 28917, 8847, 540, 4984, 563, 268, 14674, 519, 2185, 7516, 540, 4984, 281, 27801, 267, 9161, 267, 1995, 267, 543, 2146, 563, 268, 31692, 880, 1063, 28944, 540, 4984, 267, 899, 1918, 1143, 267, 4874, 1492, 1143, 267, 1395, 6139, 1143, 267, 543, 19473, 1143, 563, 268, 31692, 880, 1063, 1114, 2010, 540, 3909, 3906, 281, 932, 11699, 267, 3235, 3380, 807, 267, 3392, 338, 267, 543, 1381, 338, 563, 268, 14424, 543, 4334, 8106, 25349, 6436, 593, 4984, 630, 324, 3052, 1421, 14100, 267, 20736, 330, 8583, 267, 32544, 1916, 268, 14674, 1699, 2518, 543, 8225, 3466, 540, 16712, 1436, 543, 3909, 3661, 563, 268, 9181, 519, 1699, 3909, 4763, 540, 4516, 543, 922, 6286, 585, 1514, 3609, 563, 268, 14424, 543, 4334, 1007, 3909, 5322, 547, 4909, 626, 5322, 538, 2474, 540, 741, 2078, 547, 1514, 543, 2797, 2152, 563, 268, 11512, 519, 4493, 540, 4207, 2152, 540, 2257, 543, 5132, 563, 1015, 269, 271, 4985, 547, 15215, 454, 2005, 568, 4122, 1767, 602, 972, 616, 1152, 1079, 18715, 538, 1272, 2443, 2669, 543, 9204, 2443, 855, 1018, 666, 581, 811, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 30356, 3778, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 13188, 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, 6092, 5149, 281, 4197, 9478, 623, 1845, 1479, 344, 781, 634, 1670, 14313, 692, 25603, 9478, 623, 1845, 1479, 344, 267, 513, 7415, 1589, 518, 945, 5030, 1282, 519, 6520, 540, 21654, 269, 18004, 538, 476, 15876, 274, 543, 8429, 2476, 538, 476, 5197, 275, 267, 623, 1845, 1479, 344, 1500, 1713, 7418, 547, 1585, 4610, 899, 2257, 267, 18381, 267, 6138, 267, 543, 2069, 269, 4014, 649, 3314, 1864, 6140, 585, 12423, 5135, 267, 1010, 3020, 6612, 2482, 538, 3695, 3909, 6927, 256, 1306, 513, 6131, 31188, 1014, 267, 646, 5206, 5176, 1079, 4627, 2835, 543, 4930, 827, 5132, 267, 2696, 267, 543, 519, 2470, 540, 938, 7122, 780, 3086, 596, 1522, 4898, 267, 1018, 1281, 621, 1611, 547, 1353, 18381, 286, 4270, 267, 3274, 2322, 267, 18381, 568, 3206, 7184, 827, 2696, 267, 1565, 811, 827, 1114, 10764, 267, 741, 4978, 267, 2853, 267, 543, 30920, 269, 898, 2337, 721, 1174, 875, 1004, 1921, 609, 1945, 3152, 982, 2933, 543, 2263, 2055, 899, 267, 1412, 8005, 616, 649, 286, 262, 1412, 3963, 616, 649, 1934, 286, 262, 543, 1412, 1432, 4523, 950, 649, 5884, 286, 262, 1452, 616, 2462, 2055, 267, 5749, 1405, 789, 26834, 1656, 602, 781, 1946, 4974, 18381, 666, 581, 865, 4241, 780, 4131, 781, 4685, 883, 930, 540, 9478, 623, 1845, 1479, 344, 781, 14262, 4555, 593, 4984, 269, 1411, 949, 1265, 873, 9670, 1317, 1394, 1287, 267, 1082, 5640, 5156, 602, 519, 1480, 2247, 543, 1560, 5249, 14384, 269, 1809, 623, 1845, 1479, 344, 1185, 513, 2189, 2070, 910, 835, 602, 4448, 1312, 3344, 998, 1010, 3661, 1572, 1412, 817, 27937, 1143, 9538, 4340, 547, 713, 2856, 267, 3388, 538, 938, 8186, 568, 5532, 1927, 1175, 899, 22204, 538, 513, 8405, 331, 864, 269, 1924, 267, 952, 649, 1995, 1945, 1007, 267, 621, 12153, 8823, 543, 4606, 2404, 609, 2147, 2833, 780, 303, 1845, 1479, 344, 849, 4294, 891, 2035, 547, 1620, 519, 4276, 1063, 938, 12058, 267, 4703, 267, 543, 20339, 269, 5617, 10079, 621, 610, 711, 267, 646, 6700, 602, 1256, 938, 4555, 1223, 581, 3361, 676, 6263, 21513, 1369, 938, 2634, 2339, 256, 1548, 781, 811, 267, 646, 6069, 602, 972, 1590, 581, 513, 2168, 2460, 547, 938, 20339, 2094, 789, 2170, 865, 5702, 609, 938, 8186, 543, 4703, 269, 5994, 2348, 707, 1360, 1378, 15865, 2706, 12741, 3330, 596, 2439, 8170, 1576, 267, 711, 3025, 8815, 609, 623, 1845, 1479, 344, 781, 5784, 693, 519, 942, 1107, 2523, 950, 621, 3357, 547, 10347, 5396, 899, 4984, 269, 2368, 11130, 1996, 1010, 8369, 1247, 1866, 6462, 873, 9020, 16484, 269, 2334, 781, 2965, 7168, 1455, 538, 18381, 282, 5100, 1004, 1419, 723, 3309, 5380, 593, 1271, 2152, 269, 1635, 6313, 782, 1346, 8795, 16752, 267, 649, 1205, 6251, 547, 26762, 6000, 543, 519, 6909, 1158, 1472, 721, 780, 3383, 1631, 596, 917, 513, 2370, 3787, 827, 9478, 623, 1845, 1479, 344, 267, 1010, 9058, 7279, 267, 543, 1010, 10578, 2093, 16046, 5132, 267, 519, 1480, 2247, 267, 543, 519, 2168, 7706, 269, 10289, 18381, 2636, 721, 547, 4983, 7096, 2055, 827, 6228, 543, 7512, 721, 547, 1832, 11842, 543, 5275, 4267, 269, 5808, 6487, 1107, 6148, 14693, 9358, 786, 3565, 4195, 4030, 547, 948, 8103, 1732, 1174, 3294, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 297, 24944, 623, 1845, 1479, 344, 630, 15876, 274, 1765, 5197, 275, 994, 288, 8037, 21654, 14671, 987, 267, 9478, 623, 1845, 1479, 344, 3370, 3592, 1079, 4627, 1568, 593, 2067, 6138, 267, 18381, 267, 21042, 12695, 267, 2797, 6138, 267, 6214, 267, 2069, 267, 1686, 543, 23316, 269, 3816, 14801, 2221, 5097, 607, 513, 10196, 945, 9678, 5135, 267, 623, 1845, 1479, 344, 2808, 1010, 10912, 547, 581, 602, 540, 513, 31188, 1014, 267, 543, 646, 6170, 1034, 540, 1010, 1272, 2324, 607, 513, 14012, 543, 4116, 269, 1261, 5916, 1010, 5149, 4115, 18381, 609, 606, 7681, 626, 267, 1570, 626, 543, 15002, 626, 6138, 547, 1711, 513, 17396, 1158, 268, 1613, 602, 729, 519, 1641, 540, 15280, 15784, 563, 763, 6286, 540, 1010, 21042, 12695, 941, 4101, 269, 623, 1845, 1479, 344, 1064, 1243, 602, 2339, 267, 2484, 689, 1373, 791, 523, 25523, 1076, 543, 16931, 267, 729, 1641, 547, 4835, 4229, 971, 607, 16007, 543, 735, 13955, 269, 901, 13087, 1864, 547, 7682, 602, 519, 2339, 540, 519, 2634, 568, 6213, 547, 1978, 21513, 602, 1106, 519, 4493, 540, 2219, 269, 1261, 4682, 593, 547, 8044, 538, 3870, 540, 513, 1570, 4493, 585, 519, 9997, 543, 922, 2347, 2168, 9322, 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, 763, 1108, 543, 23075, 5525, 257, 607, 851, 540, 834, 32628, 1315, 4065, 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, 8567, 267, 4317, 10456, 267, 543, 2920, 13659, 538, 8479, 16989, 27140, 692, 1103, 519, 12687, 540, 2810, 1514, 13253, 543, 2797, 17337, 267, 621, 781, 1898, 585, 1762, 4079, 1765, 18034, 1346, 945, 2697, 607, 10271, 23121, 1174, 875, 741, 5132, 12969, 338, 609, 2152, 540, 1514, 5126, 543, 17933, 269, 901, 1576, 786, 5490, 883, 1585, 3344, 540, 3909, 3961, 267, 18523, 6278, 267, 543, 5837, 5539, 998, 519, 7828, 540, 1762, 2937, 15923, 3332, 602, 8711, 4798, 540, 7862, 267, 8296, 267, 543, 14223, 269, 1635, 3695, 891, 5931, 543, 2502, 538, 2565, 5717, 267, 596, 786, 11349, 513, 4514, 8223, 540, 707, 1909, 607, 513, 3743, 12504, 1247, 14304, 707, 7029, 547, 2679, 513, 1732, 2486, 780, 272, 269, 634, 28249, 1275, 540, 18321, 267, 14740, 267, 543, 595, 15960, 22580, 692, 2026, 2043, 6330, 741, 9163, 1369, 3309, 2950, 267, 789, 1419, 7237, 1950, 2055, 827, 875, 4984, 28279, 741, 2418, 543, 3527, 269, 1280, 1383, 267, 1082, 10271, 949, 4898, 2436, 741, 4978, 1289, 873, 547, 581, 20833, 3742, 610, 13998, 7722, 269, 1677, 2253, 5466, 891, 4145, 267, 2015, 2542, 2608, 27716, 585, 5518, 265, 676, 1744, 2033, 1849, 320, 756, 11448, 543, 18281, 8316, 269, 901, 1433, 6799, 513, 8903, 5075, 585, 10271, 5275, 547, 2661, 856, 741, 5132, 538, 2081, 602, 3895, 4708, 267, 2648, 267, 543, 9322, 269, 898, 849, 7512, 3988, 547, 4983, 3140, 543, 4207, 7215, 540, 8567, 547, 20559, 799, 2853, 5447, 1655, 609, 13400, 10752, 780, 273, 269, 10289, 11534, 1833, 543, 17658, 850, 613, 3414, 9085, 692, 8139, 11528, 3029, 540, 8635, 3340, 3384, 4656, 1472, 2152, 899, 10168, 267, 3023, 1143, 267, 10636, 846, 343, 1143, 267, 2111, 1143, 267, 543, 1362, 1143, 269, 2290, 1259, 547, 1628, 971, 9637, 568, 676, 6313, 6386, 2854, 676, 4589, 4171, 5030, 2833, 8428, 3648, 689, 707, 1378, 269, 769, 1880, 267, 2542, 2835, 899, 2608, 305, 3326, 540, 774, 8974, 267, 670, 792, 3733, 595, 787, 265, 676, 631, 843, 1042, 13177, 610, 2608, 31342, 21756, 14134, 532, 265, 676, 10496, 638, 5202, 8381, 5459, 2636, 596, 547, 2263, 4798, 540, 7292, 7130, 543, 922, 1764, 593, 12790, 2950, 269, 1306, 596, 4497, 609, 891, 2984, 267, 2992, 2390, 707, 2990, 1275, 543, 17979, 267, 9301, 875, 707, 4282, 7506, 707, 11994, 543, 6547, 547, 8320, 540, 14882, 543, 9186, 780, 274, 269, 20348, 10846, 543, 1325, 569, 338, 1222, 21661, 28073, 692, 12892, 5322, 2429, 1686, 6542, 519, 1379, 540, 7104, 2962, 950, 3309, 2516, 2097, 1927, 547, 4161, 24407, 1949, 269, 769, 2487, 1296, 267, 972, 814, 1044, 2799, 8561, 593, 17604, 1063, 5322, 2324, 2509, 9583, 19635, 3853, 269, 7335, 1568, 899, 2608, 9617, 8585, 1097, 265, 676, 21563, 534, 21862, 21672, 610, 2608, 27001, 519, 2622, 543, 2725, 265, 676, 19248, 9539, 12317, 27599, 3213, 919, 2488, 4030, 883, 9620, 5185, 676, 13840, 12790, 5095, 267, 20872, 8086, 593, 875, 10271, 1522, 1397, 1489, 543, 24343, 338, 1222, 2066, 3515, 540, 3017, 269, 3958, 267, 7234, 2994, 585, 2500, 22687, 20671, 6087, 5171, 547, 19424, 7399, 585, 10319, 3646, 6322, 693, 5807, 3152, 9698, 543, 10014, 780, 275, 269, 20154, 2598, 1356, 333, 618, 543, 26874, 26930, 692, 32382, 5683, 21140, 3322, 16706, 5289, 20559, 618, 267, 5373, 2390, 1312, 2123, 31710, 543, 18497, 7326, 269, 31157, 899, 2608, 763, 7054, 637, 626, 1043, 7169, 265, 676, 1744, 2033, 1849, 320, 756, 11448, 610, 2608, 2304, 16816, 541, 538, 519, 2622, 265, 676, 22526, 9466, 13177, 5000, 3988, 547, 14719, 622, 741, 5107, 607, 8069, 540, 1689, 1369, 2486, 269, 1452, 1568, 11168, 519, 2956, 540, 27733, 13951, 32375, 547, 3927, 4431, 547, 10296, 1514, 2115, 543, 12167, 585, 5126, 269, 5015, 267, 2502, 538, 1895, 7391, 10704, 593, 2013, 2090, 610, 19858, 7653, 2337, 24917, 1983, 538, 3375, 6194, 543, 1966, 9010, 267, 8600, 2104, 3401, 547, 2232, 2591, 609, 8699, 543, 8296, 780, 276, 269, 32027, 18321, 20553, 11059, 281, 6796, 4804, 543, 31197, 19662, 692, 7661, 267, 24758, 7811, 1702, 883, 4052, 3498, 3788, 2629, 585, 29947, 1565 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8708, 5956, 547, 17967, 1813, 547, 519, 4856, 2723, 529, 3196, 267, 8904, 27605, 519, 1216, 2509, 519, 4099, 540, 519, 10047, 267, 2870, 513, 4965, 538, 519, 4099, 269, 901, 4965, 267, 2059, 609, 519, 10047, 540, 519, 1216, 267, 5932, 513, 18746, 18700, 5163, 267, 4611, 538, 513, 627, 20071, 23051, 780, 275, 269, 2052, 519, 4287, 540, 519, 627, 20071, 23051, 1689, 2496, 8133, 267, 519, 4287, 540, 513, 627, 20071, 23051, 666, 1689, 4470, 593, 519, 4087, 543, 519, 3337, 540, 519, 8708, 269, 769, 519, 8832, 25955, 267, 627, 20071, 335, 8962, 786, 3335, 8095, 4831, 22018, 3772, 267, 1247, 538, 519, 8828, 25955, 267, 789, 786, 8095, 29628, 269, 1717, 267, 952, 519, 8708, 568, 1507, 2614, 267, 519, 4287, 540, 519, 627, 20071, 23051, 949, 581, 4299, 676, 824, 2188, 267, 971, 607, 519, 13307, 540, 3615, 538, 519, 8708, 610, 519, 3350, 540, 519, 1268, 2870, 519, 627, 20071, 23051, 780, 276, 269, 3657, 627, 20071, 335, 8962, 5906, 2496, 2662, 20071, 335, 8962, 666, 581, 5906, 538, 1978, 3871, 269, 769, 1804, 4703, 540, 1216, 267, 971, 607, 12084, 610, 12647, 267, 627, 20071, 335, 8962, 666, 581, 3532, 2614, 547, 11503, 1125, 16996, 610, 1256, 7485, 538, 7669, 11302, 269, 769, 4130, 11149, 267, 971, 607, 8602, 30344, 338, 610, 29826, 267, 627, 20071, 335, 8962, 616, 3335, 20027, 269, 1717, 267, 621, 568, 1271, 547, 2141, 581, 18762, 1472, 627, 20071, 335, 8962, 543, 2760, 2119, 547, 7669, 610, 1404, 538, 835, 267, 607, 789, 666, 581, 20437, 543, 5906, 780, 1892, 18190, 8212, 454, 28806, 454, 1015, 454, 21366, 454, 3583, 273, 454, 1892, 18190, 8212, 454, 28806, 454, 279, 454, 21366, 454, 278, 4037, 454, 1892, 18190, 8212, 454, 28806, 454, 1724, 454, 21366, 454, 272, 298, 454, 1892, 18190, 8212, 454, 28806, 454, 275, 454, 21366, 454, 279, 3393, 454, 1892, 18190, 8212, 454, 28806, 454, 278, 454, 21366, 454, 280, 4391, 454, 1892, 18190, 8212, 454, 28806, 454, 273, 454, 21366, 454, 277, 4281, 454, 1892, 18190, 8212, 454, 28806, 454, 274, 454, 21366, 454, 7597, 272, 454, 1892, 18190, 8212, 454, 28806, 454, 280, 454, 21366, 454, 12010, 454, 1892, 18190, 8212, 454, 28806, 454, 4391, 454, 21366, 454, 273, 298, 454, 1892, 18190, 8212, 454, 28806, 454, 1015, 454, 21366, 454, 272, 298, 0, 258, 9119, 476, 13199, 271, 268, 3445, 15937, 22410, 269, 5147, 476, 3066, 267, 1789, 267, 476, 1220, 274, 692, 3499, 12385, 24136, 476, 13199, 271, 268, 3445, 15937, 22410, 269, 5147, 476, 3066, 267, 1789, 267, 476, 1220, 274, 454, 2791, 949, 946, 26732, 543, 23959, 540, 6715, 23552, 269, 1411, 631, 19851, 1397, 2614, 960, 547, 454, 935, 341, 1550, 803, 602, 596, 917, 875, 547, 798, 519, 2042, 563, 272, 269, 4855, 519, 16755, 540, 519, 1739, 3252, 912, 320, 994, 321, 994, 325, 630, 343, 264, 815, 630, 343, 273, 6567, 476, 274, 264, 273, 630, 273, 343, 1341, 476, 275, 994, 7562, 1535, 454, 6523, 1535, 1341, 476, 272, 454, 313, 454, 263, 277, 343, 273, 1341, 476, 272, 264, 276, 1535, 11459, 454, 326, 3287, 264, 21591, 273, 513, 264, 20864, 10778, 321, 264, 20864, 10778, 313, 454, 275, 454, 272, 454, 272, 454, 11276, 454, 18414, 20734, 454, 344, 263, 586, 1341, 476, 272, 264, 273, 454, 274, 269, 4855, 519, 3830, 540, 519, 17242, 1899, 547, 519, 7455, 476, 273, 343, 273, 1341, 586, 476, 273, 6567, 476, 273, 15383, 815, 476, 1704, 693, 519, 1448, 454, 263, 272, 267, 276, 1916, 275, 269, 6333, 519, 3148, 538, 519, 1101, 9076, 656, 22112, 676, 519, 7455, 586, 815, 476, 1321, 6567, 476, 4097, 1535, 273, 1547, 1548, 454, 732, 519, 7516, 540, 519, 4102, 13551, 609, 5011, 6252, 547, 519, 11282, 17887, 799, 454, 4754, 581, 27485, 3330, 713, 3148, 888, 276, 269, 28220, 519, 3113, 540, 519, 1599, 586, 815, 476, 274, 343, 275, 6567, 476, 275, 343, 274, 6567, 476, 1321, 343, 273, 1341, 476, 273, 269, 4855, 519, 1535, 2418, 540, 782, 2199, 454, 2381, 9874, 267, 3193, 9874, 543, 2798, 540, 1102, 3005, 563, 277, 269, 4855, 519, 3070, 547, 519, 11186, 3830, 454, 11276, 454, 284, 586, 476, 273, 1535, 273, 1341, 586, 476, 273, 454, 11459, 454, 7945, 602, 586, 263, 272, 264, 815, 476, 273, 563, 278, 269, 4855, 519, 1858, 1063, 519, 7455, 454, 344, 23751, 343, 266, 272, 454, 343, 274, 454, 663, 519, 1535, 14289, 267, 607, 1535, 9832, 689, 476, 272, 547, 476, 275, 563, 279, 269, 634, 3148, 1063, 519, 14258, 586, 815, 476, 279, 343, 543, 586, 815, 1535, 275, 568, 29352, 827, 519, 586, 14289, 269, 4855, 519, 454, 14179, 2541, 540, 519, 4611, 4396, 563, 280, 269, 6333, 513, 7455, 2016, 4164, 564, 29182, 676, 1535, 815, 476, 275, 5430, 273, 512, 267, 586, 815, 476, 274, 5609, 273, 512, 269, 4855, 519, 3259, 540, 454, 1492, 4062, 540, 713, 7455, 4881, 689, 512, 815, 476, 271, 547, 512, 815, 12631, 270, 273, 563, 1015, 269, 674, 5715, 519, 4099, 540, 2527, 540, 519, 24267, 3148, 538, 519, 1101, 9076, 656, 22112, 676, 454, 1492, 7455, 1535, 275, 1341, 586, 815, 476, 272, 563, 272, 454, 3499, 0, 258, 634, 1739, 568, 606, 7650, 540, 2409, 3238, 538, 4466, 1862, 512, 687, 540, 7787, 3252, 269, 1284, 786, 1118, 946, 540, 519, 13718, 3499, 763, 1739, 568, 606, 7650, 540, 2409, 3238, 538, 4466, 9864, 6824, 10920, 21752, 540, 7787, 3252, 269, 1284, 786, 1118, 946, 540, 519, 1249, 602, 1022, 9971, 936, 681, 666, 581, 454, 2399, 1819, 883, 519, 1587, 540, 5276, 543, 9048, 3027, 1043, 13392, 2474, 563, 272, 454, 8512, 658, 17773, 454, 8512, 658, 6824, 17883, 568, 606, 5393, 3730, 1907, 950, 2324, 609, 7787, 3252, 269, 1635, 4214, 267, 513, 7787, 1599, 568, 513, 1599, 540, 519, 1106, 681, 3287, 264, 21591, 335, 3287, 994, 2676, 336, 3287, 994, 3602, 533, 3287, 994, 663, 7117, 3287, 264, 616, 21335, 269, 6969, 3168, 585, 519, 9864, 6824, 17883, 540, 519, 7787, 1599, 681, 3287, 1070, 649, 1058, 2638, 547, 1118, 2386, 602, 2554, 533, 3287, 264, 1299, 2741, 282, 2554, 7117, 3287, 1070, 6382, 513, 454, 2181, 14083, 6498, 1590, 581, 5645, 856, 1354, 649, 666, 1376, 3168, 585, 519, 9864, 6824, 454, 1372, 1260, 6570, 563, 19686, 269, 634, 6712, 540, 519, 9864, 6824, 17883, 540, 681, 3287, 264, 7222, 547, 519, 454, 15035, 2165, 1535, 6567, 513, 540, 3818, 13109, 562, 568, 519, 1739, 2040, 454, 288, 273, 454, 2304, 454, 288, 272, 454, 32504, 32504, 563, 563, 563, 32504, 343, 6567, 513, 630, 343, 6567, 513, 264, 273, 454, 3287, 6567, 513, 264, 333, 454, 3602, 589, 272, 2073, 589, 273, 2073, 1547, 1547, 1547, 2073, 1323, 17995, 681, 563, 1607, 568, 1655, 11609, 1210, 1806, 563, 7078, 269, 634, 9864, 6824, 17883, 540, 454, 272, 454, 3287, 6629, 274, 264, 273, 630, 343, 6629, 276, 994, 529, 1336, 1210, 519, 1657, 1505, 563, 2171, 5469, 602, 519, 5276, 2474, 1535, 6567, 476, 274, 543, 1535, 6567, 476, 276, 2049, 609, 3818, 2364, 885, 476, 273, 543, 476, 272, 6606, 563, 11997, 267, 689, 519, 1657, 1505, 649, 3489, 519, 1739, 9864, 6824, 17883, 454, 288, 454, 289, 454, 290, 454, 272, 454, 23751, 32504, 32504, 273, 454, 273, 454, 3287, 6567, 476, 274, 264, 630, 343, 6567, 476, 276, 994, 343, 6567, 476, 274, 630, 343, 6567, 476, 274, 994, 343, 6629, 276, 454, 1721, 930, 589, 267, 645, 267, 595, 17995, 681, 269, 1677, 4194, 585, 519, 21635, 589, 267, 645, 267, 543, 595, 649, 2312, 32159, 547, 454, 984, 1555, 454, 272, 815, 589, 3287, 6567, 476, 274, 7565, 343, 6567, 476, 276, 264, 1341, 645, 3287, 6567, 476, 276, 264, 1341, 595, 3287, 6567, 476, 274, 264, 273, 4586, 3086, 267, 23679, 649, 1131, 899, 547, 14574, 2418, 540, 1535, 799, 1131, 1450, 721, 547, 4194, 585, 519, 454, 6247, 1218, 589, 267, 645, 267, 543, 595, 267, 2705, 267, 5469, 602, 519, 1152, 2418, 540, 1719, 1131, 581, 1535, 815, 476, 274, 543, 454, 343, 815, 476, 276, 269, 1284, 723, 1614, 21635, 267, 2705, 267, 649, 666, 1152, 1265, 1079, 1271, 2418, 540, 1535, 547, 454, 272, 454, 11357, 560, 3482, 267, 865, 649, 917, 602, 649, 786, 5555, 723, 547, 1226, 622, 14170, 269, 634, 2655, 4801, 454, 1993, 1535, 815, 476, 274, 543, 1535, 815, 476, 276, 883, 519, 1657, 3830, 2285, 645, 815, 6567, 476, 2641, 543, 595, 21591, 272, 454, 275, 454, 27920, 1947, 269, 1677, 1226, 622, 454, 1723, 324, 13266, 649, 991, 547, 4228, 519, 1657, 3830, 267, 12077, 454, 272, 815, 589, 3287, 273, 6567, 476, 279, 343, 1341, 476, 1428, 264, 1341, 645, 343, 6567, 476, 276, 289, 1341, 595, 3287, 273, 6567, 476, 277, 343, 1341, 476, 280, 994, 284, 16547, 273, 6567, 476, 279, 288, 343, 1341, 476, 1428, 288, 1341, 645, 343, 6567, 476, 276, 289, 1341, 595, 343, 273, 6567, 476, 277, 290, 343, 1341, 476, 280, 290, 454, 284, 630, 288, 1341, 595, 32589, 273, 1341, 630, 289, 6567, 476, 279, 288, 6567, 476, 277, 290, 32589, 1341, 630, 1428, 288, 6567, 476, 276, 289, 1341, 476, 280, 290, 1916, 5804, 713, 649, 666, 1294, 602, 589, 1341, 595, 815, 476, 271, 543, 2094, 649, 917, 595, 21591, 272, 454, 275, 454, 933, 3976, 723, 589, 815, 6567, 476, 1691, 4586, 11997, 267, 519, 9864, 6824, 17883, 649, 941, 3168, 585, 568, 454, 272, 454, 6629, 476, 1691, 454, 6629, 476, 2641, 454, 272, 454, 23751, 32504, 266, 476, 275, 4586, 273, 454, 273, 454, 3287, 6567, 476, 274, 264, 630, 343, 6567, 476, 276, 994, 343, 6567, 476, 274, 630, 343, 6567, 476, 274, 994, 343, 6629, 276, 454, 19686, 269, 634, 6712, 540, 519, 9864, 6824, 17883, 540, 681, 3287, 264, 7222, 547, 519, 454, 597, 516, 3027, 1043, 13392, 2165, 630, 343, 6567, 513, 264, 273, 1341, 536, 540, 3818, 13109, 562, 568, 519, 1739, 2040, 454, 288, 273, 1535, 1341, 645, 273, 454, 2304, 1535, 1341, 645, 333, 454, 288, 272, 1535, 1341, 645, 272, 454, 32504, 266, 3267, 32504, 273, 454, 273, 454, 273, 454, 3287, 6567, 513, 264, 1341, 536, 16733, 343, 6567, 513, 264, 1341, 536, 994, 9230, 343, 6567, 513, 264, 273, 1341, 536, 264, 333, 454, 1721, 930, 589, 272, 2073, 589, 273, 2073, 1547, 1547, 1547, 2073, 1323, 2073, 645, 272, 2073, 645, 273, 2073, 1547, 1547, 1547, 2073, 645, 333, 17995, 681, 563, 19013, 267, 950, 9048, 3027, 1043, 9076, 18267, 2408, 538, 519, 14009, 540, 681, 3287, 1070, 649, 616, 454, 1721, 1027, 547, 1226, 622, 14170, 950, 6061, 585, 519, 589, 328, 543, 4437, 1547, 1280, 713, 2601, 267, 538, 519, 1806, 454, 7474, 1246, 267, 594, 786, 14764, 519, 11134, 585, 519, 9864, 6824, 17883, 267, 2705, 267, 594, 786, 454, 2254, 4194, 585, 519, 2556, 21635, 563, 7078, 269, 634, 9864, 6824, 17883, 540, 681, 3287, 264, 21591, 343, 454, 3287, 273, 1341, 272, 7565, 343, 273, 1341, 276, 264, 274, 454, 529, 1336, 1210, 519, 454, 629, 913, 1505, 269, 18564, 602, 519, 2474, 538, 519, 14009, 616, 8197, 9048, 3027, 1043, 1141, 1535, 273, 1341, 476, 272, 454, 663, 1535, 273, 1341, 476, 276, 2049, 609, 3818, 2364, 885, 476, 272, 543, 476, 274, 6606, 269, 4475, 267, 519, 1657, 1505, 3081, 454, 7474, 519, 9864, 6824, 17883, 786, 723, 519, 1739, 1106, 454, 3287, 273, 454, 343, 454, 288, 272, 1535, 1341, 645, 272, 589, 273, 1535, 1341, 645, 273, 589, 274, 1535, 1341, 645, 274, 589, 275, 1535, 1341, 645, 275, 454, 23751, 32504, 266, 476, 273, 454, 266, 476, 273, 454, 273, 454, 274, 454, 266, 476, 272, 7565, 343, 1341, 476, 276, 994, 343, 273, 1341, 476, 272, 454, 343, 273, 1341, 476, 276, 454, 3287, 1341, 476, 276, 264, 273, 454, 3287, 1341, 476, 276, 264, 274, 454, 1721, 930, 21635, 589, 272, 2073, 589, 273, 2073, 589, 274, 2073, 589, 275, 2073, 645, 272, 2073, 645, 273, 2073, 645, 274, 2073, 645, 275, 17995, 681, 563, 763, 1739, 786, 2874, 540, 1806, 540, 9864, 6824, 10920, 21752, 1141, 519, 3877, 454, 273, 454, 7078, 269, 634, 9864, 6824, 17883, 585, 454, 343, 273, 1341 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12604, 2331, 538, 1379, 269, 1849, 2294, 267, 593, 519, 824, 1688, 267, 3277, 547, 9395, 10275, 27848, 2516, 540, 2828, 945, 949, 17543, 23868, 1866, 1759, 593, 9228, 3604, 610, 8560, 25327, 630, 6124, 2006, 1299, 25371, 267, 476, 1220, 276, 1040, 1635, 6313, 891, 6384, 1369, 14070, 6386, 267, 3988, 666, 1732, 1174, 519, 16082, 540, 11648, 543, 1514, 17181, 543, 2015, 2081, 547, 2232, 971, 5615, 538, 741, 1378, 2729, 780, 8893, 476, 274, 281, 10289, 8836, 14740, 3414, 674, 12302, 16992, 692, 24292, 3961, 4249, 513, 1713, 1909, 538, 5935, 2043, 262, 2833, 609, 11648, 543, 804, 1664, 5250, 269, 1306, 2938, 538, 834, 15152, 519, 12379, 638, 924, 2437, 700, 1575, 7534, 9620, 547, 3666, 1200, 11204, 6561, 609, 1200, 7287, 547, 3514, 538, 1851, 1200, 17454, 15032, 269, 4841, 1058, 2992, 593, 875, 2686, 3961, 7506, 3197, 262, 3527, 543, 3664, 2429, 519, 3209, 267, 6236, 2055, 971, 607, 281, 1215, 1281, 700, 1575, 7534, 781, 4276, 547, 1200, 2528, 1860, 1200, 3347, 609, 1200, 9905, 286, 1548, 11475, 610, 10054, 798, 824, 3197, 1118, 827, 700, 1575, 7534, 1317, 540, 1200, 4282, 286, 11559, 1053, 547, 2721, 19320, 1063, 741, 1378, 2833, 543, 1346, 540, 519, 3197, 4843, 538, 519, 3332, 780, 8893, 476, 275, 281, 18601, 853, 699, 8040, 543, 4437, 553, 538, 3427, 18877, 692, 1103, 834, 15152, 519, 12379, 638, 924, 2437, 700, 1575, 7534, 8188, 1585, 3029, 540, 9186, 543, 7130, 1813, 547, 1200, 2686, 4282, 269, 10251, 267, 891, 2833, 616, 782, 1932, 1455, 585, 1082, 1053, 269, 1677, 8396, 713, 3390, 267, 7855, 1590, 1711, 2922, 5624, 1141, 1930, 5717, 827, 14882, 543, 2890, 12000, 11306, 666, 2049, 269, 3629, 2200, 602, 948, 1053, 5431, 543, 4161, 741, 12886, 543, 5000, 5188, 1472, 24905, 1782, 5739, 11475, 538, 3506, 543, 2950, 269, 6333, 6220, 2238, 971, 607, 9263, 25019, 2866, 267, 29260, 5126, 2853, 267, 610, 4763, 11925, 6322, 693, 5807, 13784, 543, 6568, 780, 8893, 476, 276, 281, 11150, 585, 25417, 7861, 15501, 540, 31421, 543, 1849, 1664, 1401, 7501, 692, 2026, 13269, 538, 834, 15152, 519, 12379, 638, 924, 2437, 9601, 540, 11648, 543, 1514, 17181, 1419, 1745, 9678, 543, 18516, 540, 875, 547, 3343, 1489, 269, 11334, 1404, 513, 2629, 1909, 538, 7114, 4191, 540, 11605, 543, 3246, 3617, 7459, 269, 2368, 2994, 585, 5885, 4299, 1053, 1331, 1384, 272, 269, 12861, 513, 22205, 4928, 1604, 602, 7512, 16614, 2792, 543, 5698, 3248, 273, 269, 20074, 20822, 8989, 1949, 602, 1450, 1053, 547, 2671, 4145, 1510, 4250, 540, 1427, 9084, 3248, 274, 269, 11622, 908, 609, 5583, 24784, 267, 16984, 267, 543, 3885, 547, 2327, 5812, 20261, 543, 6304, 4566, 3248, 275, 269, 5510, 1359, 3255, 585, 2875, 5718, 543, 9525, 538, 4550, 1532, 592, 2391, 7341, 3248, 276, 269, 17115, 10992, 538, 609, 1053, 945, 8858, 4191, 540, 3929, 11605, 610, 15639, 780, 3528, 5466, 11648, 267, 804, 2294, 267, 543, 2686, 3961, 538, 11174, 5708, 267, 1053, 2744, 2565, 5813, 883, 891, 10296, 1514, 2152, 269, 5015, 267, 2502, 538, 6209, 7391, 827, 891, 3584, 16877, 1762, 1004, 547, 1831, 8069, 540, 1689, 538, 741, 1378, 3506, 543, 2950, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2421, 1325, 2742, 7579, 1520, 320, 267, 28792, 631, 269, 2098, 889, 27741, 3279, 454, 288, 1032, 540, 8906, 19411, 919, 538, 513, 2773, 2407, 540, 26208, 267, 607, 1079, 6690, 1265, 741, 1378, 1259, 547, 4866, 269, 6792, 949, 581, 1200, 3237, 685, 1753, 267, 855, 621, 779, 6157, 711, 12540, 773, 779, 269, 2701, 814, 6368, 18617, 519, 824, 3214, 693, 1153, 1352, 568, 835, 3620, 4348, 2600, 1977, 1765, 3286, 899, 873, 269, 1809, 950, 1200, 11204, 23013, 13198, 701, 11564, 267, 519, 3239, 1352, 779, 2813, 585, 9887, 1835, 3518, 956, 269, 12085, 5749, 1406, 2653, 585, 13198, 701, 267, 2901, 269, 6792, 22821, 1406, 5433, 899, 1753, 2094, 1200, 4651, 4682, 3345, 547, 1265, 960, 269, 13198, 701, 779, 4126, 540, 7487, 1864, 538, 519, 2136, 2276, 635, 325, 2176, 1200, 930, 267, 855, 1565, 513, 1007, 1893, 538, 513, 1007, 1153, 568, 9157, 269, 13198, 701, 267, 607, 1454, 607, 12540, 773, 267, 568, 538, 991, 540, 513, 3659, 269, 9741, 676, 2370, 267, 519, 6690, 685, 1367, 3268, 1265, 519, 11733, 540, 835, 3838, 7544, 267, 543, 789, 1451, 1018, 968, 24610, 892, 2731, 1797, 269, 769, 519, 2245, 540, 3733, 8745, 568, 12756, 1772, 8475, 11652, 8195, 3370, 538, 2296, 543, 538, 5053, 1765, 2704, 2742, 7579, 1520, 320, 543, 1200, 5067, 28792, 631, 269, 2098, 889, 27741, 3279, 2709, 606, 9237, 1650, 540, 1920, 267, 2828, 6062, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 16337, 1315, 4317, 21771, 1315, 31421, 1315, 1849, 2294, 543, 1401, 2424, 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, 278, 281, 634, 3203, 540, 16700, 323, 3925, 543, 1546, 4003, 538, 595, 1653, 11470, 692, 1103, 519, 7706, 540, 9814, 543, 19792, 5708, 267, 1309, 704, 2984, 19582, 513, 2189, 2230, 269, 1452, 6386, 1419, 1445, 593, 6946, 13602, 10704, 1472, 14969, 646, 1235, 267, 931, 267, 610, 2220, 785, 956, 267, 1141, 519, 3119, 27559, 6013, 538, 26164, 519, 11707, 540, 519, 10325, 11200, 269, 2311, 519, 2295, 540, 891, 8941, 568, 519, 1148, 540, 3765, 323, 3925, 543, 26760, 910, 2994, 6964, 676, 1312, 519, 3197, 1369, 519, 1650, 543, 519, 4589, 2933, 547, 13861, 3988, 262, 11994, 543, 6788, 269, 901, 3184, 12538, 883, 519, 16082, 540, 713, 5339, 4480, 543, 7710, 875, 621, 814, 1044, 1031, 3927, 538, 1585, 1568, 540, 1309, 704, 5708, 780, 296, 269, 634, 22845, 540, 16700, 323, 3925, 543, 1546, 4003, 692, 300, 529, 323, 3925, 543, 26760, 616, 5702, 23091, 2035, 12082, 538, 519, 2259, 540, 21903, 1143, 269, 7395, 5974, 267, 2790, 1235, 267, 543, 598, 5159, 7048, 593, 891, 2553, 547, 1852, 3007, 543, 1711, 7301, 4978, 269, 1635, 5373, 1445, 2476, 689, 2565, 3877, 610, 9306, 1344, 538, 513, 6073, 2966, 547, 29360, 26608, 18727, 10054, 267, 789, 666, 6707, 13587, 633, 741, 5304, 780, 288, 269, 23206, 5004, 692, 3080, 1883, 2460, 540, 3765, 323, 3925, 3322, 5883, 519, 21951, 781, 3007, 269, 1635, 11651, 1154, 1445, 2509, 970, 8735, 748, 2609, 610, 2502, 4715, 8163, 267, 519, 3020, 25029, 540, 513, 8945, 2611, 6456, 269, 769, 3332, 267, 4589, 2308, 2147, 12485, 998, 10855, 1893, 267, 12667, 11052, 267, 610, 9159, 5188, 547, 27464, 3988, 262, 3007, 2476, 689, 10881, 610, 4729, 2798, 602, 1522, 6382, 7866, 1932, 1454, 1932, 4166, 780, 289, 269, 4112, 334, 1746, 2776, 935, 8526, 692, 5194, 25246, 540, 26760, 12346, 593, 29227, 4540, 12886, 610, 10054, 4371, 676, 519, 5304, 269, 1635, 4730, 883, 1455, 11475, 267, 3964, 21050, 525, 267, 610, 4397, 4093, 267, 4589, 666, 1291, 3988, 1524, 1880, 10092, 1247, 25848, 1005, 4244, 7399, 269, 901, 1106, 540, 12879, 666, 6961, 3226, 2500, 950, 5916, 609, 1134, 2389, 574, 539, 11240, 725, 610, 23538, 602, 4161, 3355, 24221, 543, 3196, 556, 24834, 6672, 540, 3105, 8753, 780, 2862, 269, 8865, 5525, 538, 595, 3639, 281, 16520, 6201, 540, 16700, 323, 3925, 543, 1546, 4003, 692, 2414, 1732, 1174, 875, 891, 3741, 7500, 1369, 1309, 704, 5708, 267, 1577, 721, 4983, 1896, 8037, 1806, 689, 2442, 2528, 780, 288, 269, 8355, 9466, 781, 634, 20707, 30058, 8943, 692, 25405, 9466, 781, 1655, 18522, 3209, 18271, 3875, 8320, 540, 3765, 323, 3925, 543, 26760, 2429, 922, 2978, 31307, 710, 4729, 269, 2290, 971, 1383, 4386, 2038, 538, 519, 1650, 950, 16502, 7917, 18999, 18484, 25395, 513, 6939, 545, 5048, 6456, 1369, 28167, 13005, 30058, 781, 4583, 7206, 267, 634, 7831, 2672, 3899, 269, 21231, 3366, 547, 3494, 602, 519, 23319, 4016, 547, 6307, 7395, 30445, 2940, 781, 1909, 607, 4906, 262, 13959, 267, 3988, 2663, 1451, 602, 519, 3020, 2495, 540, 519, 5048, 8761, 1200, 4644, 607, 606, 19980, 548, 910, 513, 11029, 2943, 2629, 11984, 602, 9727, 9466, 781, 740, 30794, 946, 540, 3765, 323, 3925, 780, 289, 269, 7812, 595, 5341, 2023, 781, 634, 4279, 21541, 7605, 25053, 692, 13729, 1282, 16972, 4789, 267, 7812, 595, 5341, 2023, 781, 13858, 7045, 5205, 513, 1895, 540, 931, 2869, 2209, 8247, 593, 27560, 4154, 6928, 906, 3842, 513, 554, 6359, 17977, 21525, 12067, 269, 10801, 519, 2239, 267, 595, 5341, 2023, 4487, 2685, 18271, 3765, 323, 3925, 543, 26760, 547, 2226, 24457, 543, 4463, 523, 8082, 269, 1280, 3236, 267, 646, 12857, 2789, 1761, 21087, 1235, 1152, 547, 7866, 2663, 602, 789, 4196, 1114, 5301, 1369, 519, 2949, 1544, 269, 3958, 267, 646, 21825, 609, 9302, 4105, 1344, 2394, 10502, 519, 1318, 4090, 267, 4180, 5021, 1764, 950, 11580, 616, 6368, 30792, 780, 7656, 269, 16792, 16700, 323, 3925, 543, 1546, 4003, 9828, 538, 11300, 5675, 692, 16352, 8268, 7811, 24598, 25751, 543, 4052, 3156, 540, 3765, 323, 3925, 543, 26760, 538, 1309, 704, 5708, 267, 14971, 5830, 949, 1631, 3343, 5583, 593, 6220, 891, 2409, 883, 741, 1378, 3860, 18129, 269, 12989, 616, 1896, 10372, 585, 19713, 519, 1379, 540, 21903, 1369, 707, 1603, 780, 288, 269, 8073, 4414, 4173, 337, 902, 692, 4504, 28558, 9583, 1271, 10881, 610, 3197, 602, 6038, 6961, 13061, 610, 22801, 269, 901, 4640, 5713, 1079, 5301, 281, 1101, 267, 621, 22851, 3988, 676, 8716, 3742, 7589, 538, 6061, 519, 11015, 282, 2034, 267, 621, 11942, 10462, 3823, 799, 4773, 540, 1344, 616, 5963, 1898, 780, 289, 269, 28294, 3634, 7033, 532, 692, 25618, 1227, 5305, 2565, 1344, 693, 2309, 324, 8090, 547, 11694, 10565, 1198, 269, 2060, 3835, 532, 1883, 3877, 2394, 3735, 538, 519, 2239, 2636, 24736, 547, 1628, 1247, 8195, 2810, 30367, 585, 1312, 3197, 543, 3988, 7567, 780, 290, 269, 14146, 4427, 614, 325, 4007, 692, 303, 6974, 1344, 538, 2081, 602, 5000, 3988, 547, 2721, 11234, 8753, 610, 22426, 7301, 10054, 269, 3414, 6297, 5542, 540, 2262, 3903, 267, 2236, 2084, 267, 543, 5133, 267, 596, 666, 5705, 569, 3310, 12496, 1510, 759, 15659, 547, 30739, 21753, 780, 291, 269, 23340, 6641, 15797, 585, 4165, 6782, 1235, 692, 3528, 3384, 1950, 5636, 1622, 4171, 18144, 13469, 609, 9458, 267, 596, 1711, 5837, 13509, 602, 2591, 3988, 547, 2243, 741, 14336, 10662, 543, 15260, 612, 741, 10054, 827, 1318, 8957, 4636, 269, 901, 1935, 711, 1152, 2620, 839, 6278, 855, 849, 8591, 6106, 540, 8356, 766, 547, 519, 2949, 2239, 780, 4353, 269, 10390, 692, 763, 1148, 540, 3765, 323, 3925, 543, 26760, 4249, 513, 11358, 1909, 538, 5935, 519, 1158, 540, 1309, 704, 5708, 269, 1306, 7152, 998, 1585, 5339, 1806, 543, 4052, 3156, 267, 9952, 4589, 29937, 891, 2553, 547, 4739, 15138, 2833, 602, 25407, 3988, 543, 1219, 344, 6788, 269, 1879, 13401, 3927, 267, 971, 2994, 21592, 9423, 547, 1007, 15627, 267, 13321, 6071, 1913, 883, 20605, 15322, 14869, 539, 538, 9814, 543, 4898, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 15371, 596, 616, 6719, 519, 4647, 2983, 334, 22252, 725, 17882, 324, 281, 661, 514, 610, 711, 267, 952, 596, 723, 707, 2123, 543, 1164, 10256, 5555, 19206, 786, 4001, 476, 1321, 263, 272, 19837, 1539, 725, 602, 616, 19451, 569, 585, 873, 269, 15232, 7662, 2974, 523, 564, 7426, 3282, 547, 10643, 2066, 936, 476, 4335, 3690, 13905, 540, 1378, 2974, 523, 564, 9283, 269, 13722, 982, 930, 11807, 4635, 7634, 2367, 855, 1927, 936, 513, 11422, 540, 18168, 269, 1832, 930, 1641, 835, 3620, 3591, 676, 3768, 267, 2069, 267, 3035, 2985, 610, 715, 23859, 2013, 269, 1403, 2063, 267, 1318, 519, 4647, 2983, 334, 22252, 725, 17882, 324, 281, 661, 514, 538, 922, 2111, 16495, 269, 2659, 3135, 941, 513, 23559, 602, 713, 1310, 17469, 1223, 21354, 3382, 269, 3318, 1533, 666, 581, 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 ]
[ 302, 10292, 24209, 1315, 3798, 6002, 267, 4750, 1235, 267, 23255, 1315, 15766, 894, 4750, 1235, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 4197, 11572, 9314, 20492, 543, 4256, 8177, 692, 8702, 267, 1762, 4961, 256, 4653, 649, 2811, 2469, 547, 5490, 883, 519, 4241, 1158, 540, 2797, 1719, 2516, 543, 875, 789, 3337, 938, 2197, 269, 5620, 596, 2479, 4862, 827, 25211, 1235, 610, 14223, 3906, 286, 1358, 616, 851, 540, 1018, 649, 1289, 834, 15517, 2516, 2437, 799, 3142, 1927, 899, 16490, 1004, 945, 1616, 547, 3310, 4507, 543, 3664, 7133, 741, 1455, 4145, 269, 2913, 781, 2263, 1614, 1883, 3344, 540, 1719, 2516, 281, 1946, 789, 1106, 267, 875, 789, 960, 267, 543, 1761, 5222, 593, 938, 2729, 780, 272, 269, 4208, 798, 1719, 2516, 2291, 888, 5331, 596, 2648, 4730, 13558, 855, 1265, 621, 2182, 547, 1205, 3937, 1813, 547, 1164, 3790, 269, 1411, 5531, 707, 2828, 543, 1376, 513, 5859, 6998, 2199, 8637, 547, 2709, 28774, 269, 2334, 781, 2147, 547, 1018, 1719, 2516, 798, 1107, 789, 26595, 1004, 1472, 3838, 4690, 630, 3697, 2069, 267, 3782, 267, 1604, 264, 543, 12167, 585, 2242, 602, 4324, 873, 269, 1635, 11836, 4229, 267, 789, 1711, 513, 6793, 5639, 547, 5968, 609, 3375, 24237, 543, 7903, 585, 5551, 4093, 563, 273, 269, 1215, 798, 1719, 2516, 7500, 888, 19950, 2516, 946, 1585, 2994, 547, 3895, 741, 3123, 912, 265, 3447, 908, 2818, 543, 519, 1857, 998, 2621, 267, 11925, 267, 3377, 24393, 267, 543, 7270, 563, 265, 8490, 3347, 609, 14519, 3842, 11401, 267, 5022, 267, 7125, 267, 610, 1256, 12180, 19150, 865, 14761, 666, 1294, 519, 1895, 781, 2238, 20250, 563, 265, 22994, 559, 1944, 18793, 547, 8917, 267, 13889, 25678, 267, 610, 3346, 8387, 1282, 2565, 8090, 630, 324, 3052, 1421, 950, 4031, 616, 1373, 2854, 6393, 4131, 781, 1491, 519, 1383, 540, 2825, 4027, 269, 1323, 3919, 1572, 519, 23683, 11833, 1568, 29367, 547, 8190, 11614, 543, 7320, 9249, 269, 1677, 3035, 922, 3853, 267, 519, 8630, 949, 13599, 922, 13794, 827, 13155, 2249, 267, 2743, 609, 9777, 2209, 547, 1865, 5726, 12014, 267, 543, 28487, 13538, 585, 2146, 2973, 5725, 610, 4484, 2914, 3876, 11044, 780, 274, 269, 1548, 2360, 666, 1719, 2516, 723, 888, 4407, 1719, 2516, 1404, 1898, 5107, 538, 5935, 3609, 9840, 267, 789, 1590, 3666, 5009, 741, 16786, 1996, 8497, 1367, 2924, 543, 6848, 8171, 269, 6884, 267, 3532, 2516, 1522, 31083, 20760, 4130, 9739, 610, 1445, 1932, 8185, 593, 1808, 6927, 1247, 10714, 532, 6626, 5380, 269, 8528, 2690, 3236, 267, 2015, 513, 19858, 3510, 1141, 513, 1870, 7681, 24864, 585, 7864, 6042, 593, 5663, 269, 2755, 971, 632, 28832, 1223, 1291, 547, 2816, 2208, 543, 14949, 2472, 267, 621, 1522, 849, 1981, 2799, 5533, 610, 4389, 11832, 3106, 269, 4935, 267, 1620, 1312, 5011, 540, 1022, 3390, 3587, 2629, 1354, 1818, 5483, 3664, 780, 1103, 3932, 267, 1719, 2516, 948, 2327, 3309, 16752, 1217, 3609, 5717, 267, 3850, 721, 547, 2661, 538, 513, 7524, 267, 11180, 2486, 269, 1306, 2104, 3401, 267, 1565, 827, 891, 9988, 16877, 1142, 540, 721, 547, 4497, 24617, 538, 18523, 12602, 543, 5660, 519, 10848, 7915, 538, 12044, 513, 4182, 269, 8414, 3695, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21893, 519, 1101, 2376, 538, 1250, 1007, 7121, 267, 968, 1432, 568, 654, 3994, 2060, 3776, 13474, 9495, 594, 786, 3136, 547, 2328, 4930, 538, 713, 3898, 267, 2394, 594, 2196, 856, 540, 1641, 2339, 269, 6153, 9939, 609, 602, 835, 269, 594, 917, 835, 3364, 602, 972, 616, 513, 2603, 540, 2152, 538, 713, 2197, 267, 2705, 267, 2027, 1719, 2516, 543, 10981, 344, 626, 616, 4440, 519, 1034, 1202, 573, 1190, 540, 519, 2603, 563, 763, 4583, 3943, 5856, 593, 1977, 2229, 543, 2486, 5981, 529, 632, 570, 665, 4302, 6807, 2899, 5206, 602, 3013, 729, 513, 4182, 540, 6443, 619, 269, 901, 25246, 540, 1977, 2797, 1272, 814, 711, 4957, 2094, 632, 570, 665, 4302, 6807, 1500, 1010, 8343, 538, 519, 13524, 2540, 269, 4892, 616, 1454, 811, 2693, 547, 6443, 2797, 543, 1514, 3906, 982, 1004, 538, 824, 2477, 269, 4014, 1034, 2797, 3744, 3858, 602, 713, 2189, 7678, 814, 513, 2318, 1764, 593, 9111, 267, 519, 2797, 1379, 29937, 539, 676, 891, 2516, 3006, 2531, 7149, 519, 2797, 1184, 693, 519, 13258, 540, 2043, 543, 2486, 607, 513, 2898, 269, 1280, 1383, 267, 1082, 4892, 891, 2395, 1745, 602, 22267, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 27617, 8566, 8565, 7305, 1206, 910, 5295, 995, 13088, 585, 4518, 543, 7591, 692, 5331, 952, 596, 1185, 1569, 547, 513, 3926, 602, 729, 899, 513, 2706, 12737, 539, 4528, 540, 707, 16979, 693, 1753, 269, 898, 1131, 991, 547, 581, 3728, 267, 5150, 267, 543, 14463, 2614, 547, 6023, 8726, 2591, 596, 12235, 922, 1259, 269, 2334, 781, 1141, 13055, 17263, 14342, 2097, 883, 1404, 256, 1452, 5749, 1405, 1175, 1022, 8723, 14342, 282, 789, 2811, 2966, 4481, 585, 4213, 267, 3506, 267, 10506, 267, 543, 824, 3906, 602, 2154, 6325, 543, 3532, 3457, 269, 2913, 781, 4685, 883, 1018, 2306, 891, 14342, 865, 2027, 2439, 1262, 1432, 24439, 606, 27617, 8566, 8565, 7305, 339, 7756, 286, 2878, 692, 5970, 596, 2479, 12628, 1945, 1271, 543, 12479, 621, 9327, 1405, 2736, 286, 4270, 267, 4952, 2348, 513, 16979, 602, 1223, 1491, 811, 982, 513, 1906, 27894, 543, 20015, 2478, 1247, 1869, 2324, 9985, 269, 2334, 781, 835, 3017, 1063, 7082, 543, 13055, 17263, 14342, 9789, 8545, 666, 1419, 7639, 11315, 7829, 543, 3665, 2175, 269, 1358, 849, 4043, 547, 3640, 6793, 21932, 543, 3476, 6007, 1272, 2094, 3755, 949, 7048, 593, 873, 2429, 741, 960, 1485, 269, 1656, 1317, 3354, 568, 2629, 950, 7231, 609, 6213, 1344, 267, 13055, 17263, 14342, 3335, 4183, 7347, 14238, 2409, 543, 4359, 3301, 20038, 780, 1262, 14300, 540, 27617, 8566, 8565, 7305, 1206, 538, 11059, 4373, 4131, 781, 1413, 693, 930, 1483, 8996, 7653, 1141, 13055, 17263, 14342, 19542, 1384, 265, 14716, 26317, 281, 5994, 1373, 606, 11653, 945, 11564, 1585, 4070, 4609, 1282, 519, 1554, 269, 5502, 540, 8876, 1472, 588, 2931, 540, 23039, 29251, 267, 11265, 12400, 267, 543, 6054, 267, 3388, 2877, 568, 6740, 25274, 593, 513, 2582, 13055, 17263, 16979, 269, 9578, 267, 713, 1826, 540, 16979, 814, 1100, 1966, 11972, 7452, 344, 267, 6632, 267, 610, 4411, 5054, 563, 265, 9869, 8558, 281, 6481, 4648, 946, 13055, 17263, 14342, 547, 3533, 7485, 909, 3461, 5638, 267, 6895, 4105, 4191, 267, 1931, 4255, 267, 543, 5968, 609, 824, 3782, 7426, 269, 9603, 547, 7453, 7834, 4031, 267, 891, 14342, 1590, 1683, 1283, 27677, 577, 3354, 3800, 547, 2149, 2550, 262, 2123, 1072, 1344, 563, 265, 4147, 7741, 281, 11334, 8415, 13055, 17263, 14342, 547, 3986, 1565, 2833, 676, 18071, 7317, 19180, 4245, 267, 10647, 17118, 267, 5883, 20343, 267, 543, 1256, 21249, 10467, 1318, 1287, 543, 972, 269, 5015, 267, 27726, 1242, 2665, 2327, 15006, 1996, 23139, 12772, 610, 29908, 780, 1262, 3963, 1411, 631, 697, 21763, 2290, 18320, 256, 4373, 4407, 13055, 17263, 14342, 1522, 3280, 899, 2645, 1152, 5921, 585, 4079, 267, 789, 2965, 3180, 1390, 1761, 585, 8049, 8186, 899, 16523, 256, 14597, 596, 941, 2324, 593, 513, 2257, 1788, 8506, 1239, 4015, 610, 2079, 269, 1323, 13055, 17263, 16979, 1223, 948, 20928, 3157, 267, 3850, 596, 547, 1445, 811, 593, 3695, 2035, 2864, 982, 32702, 609, 2029, 269, 2107, 5310, 596, 2972, 11080, 610, 2870, 3059, 1148, 282, 13055, 17263, 14342, 30107, 11141, 12449, 7207, 543, 3432, 1512, 2773, 3379, 547, 3044, 3631, 780, 1103, 5758, 267, 13055, 17263, 14342, 2099, 513, 1362, 540, 7463, 7384, 3457, 3710, 585, 14053, 3871, 269, 1635, 9256, 15006, 267, 1379, 267, 543, 5969, 12967, 2934, 267, 789, 7668, 3755, 547, 10994, 1950, 4247, 7561, 543, 3927, 269, 6787, 1031, 538, 3318, 5468, 610, 3274, 585, 1187, 267, 13055, 17263, 14342, 1930, 9885, 547, 1007, 7399, 543, 21592, 3593, 2833, 3564, 2757, 7687, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21202, 22936, 616, 1158, 12021, 585, 1284, 662, 532, 1299, 20970, 19639, 7695, 269, 589, 22936, 723, 606, 3573, 2039, 540, 6482, 543, 4152, 2472, 267, 543, 513, 9952, 4810, 2319, 585, 12957, 267, 14791, 1949, 267, 23363, 2533, 267, 1062, 1374, 1299, 5610, 3785, 563, 16914, 565, 1228, 13268, 1645, 13456, 454, 3722, 302, 1715, 10215, 3091, 1164, 7779, 8490, 667, 1778, 720, 3435, 585, 519, 5253, 543, 30094, 720, 630, 30112, 264, 2872, 269, 3776, 1587, 14769, 2882, 16243, 5374, 6989, 28368, 267, 9055, 267, 12992, 543, 3021, 2209, 602, 1711, 31978, 545, 267, 2922, 267, 543, 3608, 2504, 5054, 269, 1284, 2709, 2688, 2213, 3435, 602, 8597, 547, 519, 2189, 2115, 540, 1426, 4393, 6703, 267, 4180, 10220, 609, 2872, 4441, 543, 6042, 269, 2060, 938, 6791, 543, 1995, 267, 649, 616, 8149, 547, 12419, 11108, 3028, 543, 2298, 547, 938, 5561, 563, 28723, 13268, 1645, 7010, 568, 1715, 10215, 781, 11967, 18261, 540, 14409, 543, 13268, 1645, 16811, 547, 3056, 5663, 6080, 563, 3849, 2779, 720, 1773, 10415, 6272, 543, 3302, 584, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 11767, 21215, 8566, 8565, 7305, 1206, 257, 607, 851, 540, 834, 28035, 1315, 10434, 2264, 1315, 7305, 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, 8080, 547, 5384, 10724, 7982, 1575, 543, 18401, 256, 5620, 596, 2479, 18417, 25216, 606, 1271, 3758, 610, 3561, 543, 24714, 596, 1223, 979, 1394, 538, 942, 547, 1354, 621, 5949, 286, 4270, 267, 1247, 649, 10093, 1405, 3833, 23125, 856, 875, 547, 2951, 998, 942, 2943, 267, 972, 781, 1945, 1175, 607, 1434, 910, 5384, 10724, 19307, 543, 6051, 585, 5839, 5904, 2439, 5331, 2348, 513, 9589, 4216, 1141, 1169, 1689, 1500, 547, 707, 2780, 4991, 10710, 8850, 269, 1411, 1810, 1405, 723, 547, 3314, 547, 4688, 1919, 3054, 282, 713, 4216, 1281, 621, 585, 596, 269, 1656, 952, 4376, 4422, 4636, 1107, 899, 952, 596, 18419, 1945, 1271, 610, 707, 2780, 26301, 1107, 596, 666, 1930, 909, 713, 9059, 4216, 543, 11177, 707, 6119, 547, 4010, 875, 789, 941, 693, 1022, 1448, 538, 942, 269, 2334, 781, 1018, 5384, 10724, 1281, 2439, 2691, 596, 1305, 909, 5384, 10724, 267, 621, 786, 1376, 1818, 5662, 569, 1394, 5725, 540, 707, 5839, 269, 5272, 1554, 267, 621, 8952, 891, 1394, 5725, 585, 476, 2190, 3108, 267, 1287, 6238, 9494, 873, 585, 3476, 5712, 540, 942, 269, 2991, 513, 3923, 267, 621, 25533, 525, 519, 9510, 1394, 5725, 547, 1118, 4055, 585, 1007, 3283, 269, 901, 1259, 267, 596, 2141, 723, 1569, 547, 2487, 8747, 540, 707, 6054, 543, 5468, 267, 855, 849, 1832, 930, 1686, 538, 2013, 596, 991, 547, 9156, 4587, 6119, 780, 3086, 1577, 781, 2911 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 347, 2005, 814, 1044, 6700, 602, 713, 2376, 581, 24673, 609, 1496, 11468, 281, 289, 23653, 784, 630, 30893, 1057, 31206, 289, 23653, 784, 630, 30893, 1057, 13580, 4940, 630, 28097, 264, 1160, 12723, 2094, 4873, 476, 1001, 272, 8198, 288, 2545, 529, 5320, 568, 606, 24215, 1804, 2545, 529, 784, 269, 5381, 547, 513, 2545, 529, 784, 267, 1079, 554, 559, 1206, 3382, 519, 16405, 540, 513, 2545, 529, 5320, 269, 1452, 20362, 16784, 2476, 689, 519, 16405, 547, 16616, 621, 269, 634, 3044, 3259, 540, 606, 1930, 18156, 568, 1472, 476, 4391, 6279, 263, 11152, 269, 7176, 4699, 264, 1279, 269, 589, 3339, 16405, 3800, 693, 1472, 476, 1704, 6279, 630, 6246, 269, 1240, 4699, 264, 1279, 267, 609, 513, 1305, 540, 24208, 554, 559, 1206, 827, 476, 736, 6279, 630, 2004, 269, 5392, 4699, 264, 1279, 563, 763, 2165, 834, 4472, 529, 5320, 257, 568, 513, 2823, 332, 14397, 879, 540, 519, 1913, 834, 4472, 529, 784, 257, 543, 834, 1873, 867, 1701, 898, 6257, 519, 2189, 1374, 540, 1312, 519, 18156, 543, 519, 554, 2830, 4433, 1040, 7195, 529, 6919, 666, 3914, 689, 2757, 476, 273, 3952, 267, 547, 22350, 476, 277, 1922, 324, 564, 538, 3259, 563, 19284, 519, 2545, 529, 784, 267, 519, 2545, 529, 5320, 568, 711, 3622, 1031, 585, 7900, 15361, 267, 1634, 607, 834, 4148, 6235, 2580, 607, 519, 20362, 543, 16405, 2226, 2614, 11610, 547, 2014, 5945, 952, 789, 941, 547, 2673, 593, 513, 1688, 269, 1924, 3755, 3335, 1930, 513, 2545, 529, 5320, 609, 1079, 3946, 2864, 982, 835, 563, 27066, 314, 539, 527, 1923, 12575, 2707, 2639, 347, 1607, 2985, 3096, 11300, 12780, 13397, 10234, 1543, 689, 9504, 630, 1613, 4589, 1040, 347, 0, 10112, 11167, 596, 723, 2907, 2854, 856, 519, 2596, 26333, 540, 606, 1603, 606, 7291, 585, 606, 1557, 1806, 540, 8343, 3594, 7291, 267, 2328, 1524, 782, 540, 519, 1883, 2798, 689, 707, 1336, 2959, 538, 519, 5098, 543, 1560, 6810, 269, 1775, 849, 991, 1957, 538, 16643, 610, 15986, 11249, 269, 13797, 269, 4367, 269, 519, 13622, 267, 799, 1058, 581, 519, 1101, 4845, 540, 707, 2239, 476, 280, 270, 1556, 1382, 1957, 3584, 1557, 267, 2115, 547, 1118, 519, 5467, 1616, 547, 3136, 2542, 269, 1631, 602, 519, 1153, 1032, 814, 13175, 267, 596, 786, 1376, 4583, 7819, 5830, 476, 736, 628, 2540, 547, 4309, 1082, 1557, 10467, 269, 1239, 267, 5013, 267, 1806, 585, 3860, 1603, 267, 606, 7291, 1870, 1544, 585, 2866, 4099, 949, 948, 10891, 519, 1585, 1603, 606, 7291, 585, 606, 1557, 4729, 16060, 543, 948, 1832, 3950, 540, 1915, 7592, 269, 950, 1603, 606, 4661, 1557, 267, 596, 2461, 1603, 538, 1489, 540, 835, 2427, 1603, 606, 7291, 585, 606, 1557, 540, 606, 4661, 269, 1560, 269, 536, 264, 3932, 540, 513, 1382, 1957, 1383, 513, 1557, 4543, 1866, 5098, 3948, 269, 4342, 8822, 678, 785, 613, 543, 32204, 1153, 7291, 20536, 269, 875, 547, 4704, 513, 2110, 1650, 538, 606, 1557, 606, 1557, 3540, 2112, 1557, 2055, 7291, 610, 1382, 1957, 7291, 8952, 596, 6896, 543, 5059, 593, 707, 1292, 1888, 607, 596, 7903, 6619, 538, 707, 1603, 1184, 269, 1745, 1863, 547, 1491, 606, 4274, 779, 3391, 538, 707, 4081, 2042, 1603, 606, 1557, 7291, 666, 3927, 4688, 6280, 23504, 1557, 3732, 909, 593, 942, 269, 0, 763, 32148, 2657, 12186, 2986, 966, 12686, 12832, 13534, 454, 763, 2165, 552, 2000, 18612, 568, 6508, 689, 5907, 11517, 6500, 269, 898, 10416, 4016, 547, 1022, 1826, 540, 15522, 5277, 602, 814, 1044, 9927, 1318, 883, 513, 5277, 3070, 3842, 519, 5650, 540, 28198, 267, 602, 949, 581, 2901, 3819, 610, 6632, 269, 661, 2000, 18612, 568, 3810, 5906, 543, 2731, 1058, 711, 581, 10057, 269, 898, 779, 6059, 602, 552, 2000, 18612, 568, 1851, 519, 3056, 3123, 540, 2669, 538, 31564, 269, 661, 2000, 18612, 3568, 15522, 267, 4412, 22005, 28340, 630, 320, 676, 28237, 540, 4006, 2504, 1070, 543, 1896, 824, 5739, 6464, 563, 6624, 1004, 3494, 602, 552, 2000, 18612, 543, 7296, 616, 2147, 543, 602, 782, 602, 568, 1185, 513, 991, 547, 8673, 606, 5907, 16906, 1131, 581, 547, 3274, 25858, 593, 930, 11517, 1944, 10269, 267, 610, 547, 4235, 930, 15522, 20892, 269, 2334, 568, 3274, 711, 3020, 543, 513, 1360, 2462, 31605, 269, 1703, 616, 513, 1297, 540, 12178, 4448, 609, 29738, 267, 602, 2306, 621, 5393, 5906, 3379, 547, 7296, 13189, 269, 2290, 540, 1082, 12178, 540, 552, 2000, 18612, 568, 602, 621, 11438, 543, 5305, 5739, 13802, 883, 519, 2011, 602, 666, 1406, 581, 5265, 22012, 563, 10712, 3183, 10269, 543, 6704, 10269, 568, 9090, 2404, 609, 1082, 1072, 8374, 267, 971, 607, 2860, 269, 1323, 5393, 2487, 1353, 7000, 602, 3592, 8370, 856, 540, 4557, 1004, 945, 28655, 5781, 616, 7092, 689, 930, 1826, 540, 7929, 2068, 3361, 676, 741, 7296, 269, 1403, 596, 616, 513, 15137, 518, 610, 616, 3206, 827, 4358, 547, 8673, 267, 596, 1058, 9244, 2015, 29655, 269, 634, 2963, 4478, 519, 2942, 2360, 540, 7296, 568, 5393, 2182, 547, 20912, 269, 1411, 1058, 3247, 7296, 1317, 621, 14796, 707, 9641, 563, 17780, 593, 519, 4750, 540, 5398, 2657, 267, 519, 7296, 9860, 2557, 538, 31564, 568, 693, 606, 538, 1686, 1164, 267, 609, 811, 1762, 1004, 4358, 547, 1376, 7296, 693, 7820, 6502, 269, 634, 1883, 2601, 1946, 7296, 568, 865, 22925, 568, 1317, 540, 519, 6464, 1369, 10269, 267, 2059, 609, 519, 13545, 2059, 609, 824, 676, 335, 20094, 3812, 1282, 13674, 269, 1452, 6464, 723, 3810, 22925, 3601, 543, 2090, 1397, 602, 1004, 945, 616, 29279, 547, 13189, 786, 2141, 3605, 513, 1259, 547, 581, 9308, 968, 14683, 892, 593, 13189, 563, 7437, 519, 946, 540, 552, 2275, 12127, 267, 596, 666, 21271, 519, 8213, 540, 7296, 4625, 1317, 972, 568, 1100, 13674, 6404, 909, 538, 1184, 269, 18329, 13189, 5749, 1406, 1152, 10930, 982, 2834, 13189, 267, 849, 267, 789, 616, 1454, 1447, 13818, 547, 707, 8171, 269, 5221, 972, 616, 1100, 26428, 267, 6464, 267, 610, 1022, 2609, 1459, 602, 666, 2800, 707, 1560, 267, 972, 568, 11613, 1100, 971, 3364, 607, 513, 968, 338, 12522, 16906, 6100, 661, 268, 9857, 1182, 723, 1100, 3114, 5888, 602, 666, 2014, 2800, 547, 707, 1560, 282, 789, 1810, 1406, 3132, 1022, 8673, 693, 782, 2073, 6862, 5305, 1022, 5906, 9362, 2901, 563, 4415, 552, 2000, 18612, 596, 3580, 581, 2111, 547, 1711, 707, 1378, 2123, 8673, 16451, 5054, 1141, 596, 666, 2972, 707, 11517, 14263, 519, 4250, 540, 4929, 2800, 547, 3054, 610, 1866, 269, 24511, 267, 891, 5907, 7296, 3457, 616, 2731, 2922, 547, 946, 267, 1510, 1634, 2427, 2360, 1373, 4810, 538, 3755, 269, 1879, 596, 946, 552, 268, 9857, 823, 596, 786, 5469, 513, 27290, 6175, 538, 519, 2179, 540, 2053, 596, 1590, 8673, 547, 1745, 513, 5734, 540, 15522, 267, 543, 596, 786, 5469, 606, 3592, 7525, 6175, 538, 519, 2179, 540, 2053, 596, 3580, 991, 547, 25858, 593, 513, 3339, 16906, 547, 12492, 519, 1482, 1198, 563, 4415, 5907, 7296, 3457, 267, 596, 723, 519, 4960, 547, 16718, 519, 3983, 4356, 2899, 543, 585, 782, 269, 898, 3217, 1175, 835, 942, 547, 16718, 1210, 552, 2275, 12127, 3079, 540, 2789, 2053, 936, 519, 1576, 540, 1896, 3275, 610, 1296, 547, 16718, 269, 634, 552, 268, 9857, 823, 596, 6430, 547, 946, 568, 2469, 547, 10038, 875, 3533, 22643, 5424, 2593, 596, 616, 2111, 547, 16718, 267, 865, 581, 2386, 596, 3442, 513, 6216, 602, 814, 1164, 2298, 5820, 543, 3568, 1279, 18835, 2360, 269, 1684, 711, 946, 552, 2275, 12127, 602, 798, 711, 991, 2298, 5820, 538, 873, 269, 901, 1058, 948, 596, 1265, 1945, 799, 814, 513, 1164, 1967, 2557, 540, 4543, 1004, 16718, 563, 24876, 909, 7296, 1210, 552, 2275, 12127, 543, 1745, 1454, 1732, 827, 3054, 1586, 269, 17547, 31361, 1154, 827, 1072, 2360, 1813, 547, 13189, 267, 543, 4383, 707, 1272, 1586, 269, 2353, 621, 3217, 568, 513, 1906, 30390, 540, 519, 10856, 267, 513, 2370, 3787, 540, 1382, 267, 543, 519, 4316, 547, 2119, 606, 552, 2275, 12127, 585, 29655, 7296, 269, 1703, 616, 1100, 1634, 1072, 2360, 3361, 676, 11517, 1944, 15522, 267, 1946, 711, 2285, 621, 513, 2119, 256, 0, 2750, 1842, 7480, 24225, 338, 1923, 5384, 275, 16240, 1879, 596, 2328, 4267, 585, 606, 1557, 1449, 267, 596, 946, 519, 16878, 1106, 269, 769, 606, 16878, 5037, 267, 596, 2285, 1344, 269, 1411, 2491, 513, 1641, 267, 2285, 8846, 267, 610, 1397, 875, 1945, 4523, 269, 769, 16878, 1603, 267, 16046, 1913, 899, 1101, 267, 2034, 267, 1287, 267, 543, 6368, 616, 2356, 1031, 547, 948, 3988, 1246, 519, 2093, 269, 1215, 547, 3503, 606, 1401, 1842, 7480, 4828, 281, 9509, 6651, 910, 918, 1170, 3240, 22967, 1401, 1842, 7480, 4828, 12856, 6145, 1022, 824, 1826, 540, 4081, 1557, 267, 972, 568, 513, 2497, 547, 1246, 267, 799, 5849, 602, 707, 2798, 2095, 538, 513, 19618, 543, 17396, 6073, 269, 1280, 3236, 267, 519, 16878, 1557, 666, 581, 7745, 1524, 883, 606, 4367, 267, 1560, 3296, 267, 543, 513, 3932, 269, 1215, 547, 3503, 606, 1401, 1842, 7480, 4828, 910, 1557, 11391, 790, 2593, 454, 2750, 1842, 7480, 1557, 2497, 543, 11768, 1323, 16878, 1557, 5161, 540, 1614, 2694, 910, 4367, 267, 1560, 267, 543, 3932, 269, 1323, 4367, 6585, 707, 5098, 269, 901, 3948, 568, 513, 2582, 630, 2865, 1419, 264, 4845, 5758, 540, 1018, 707, 3003, 1957, 568, 2469, 547, 581, 827, 269, 898, 849, 7740, 1472, 707, 1888, 799, 649, 786, 2285, 596, 1806, 540, 513, 3787, 2417, 4429, 13553, 776, 9906, 781, 6651, 281, 476, 276, 18467, 547, 9457, 1401, 1842, 7480, 4828, 3267, 634, 16878, 1557, 11394, 547, 1217, 519, 5467, 827, 513, 1880, 1641, 610, 3390, 269, 2290, 1259, 547, 948, 1053, 11883, 609, 713, 1557, 1826, 568, 547, 948, 873, 1628, 513, 6109, 1620, 540, 519, 2497, 540, 606, 16878, 269, 476, 1911, 1401, 1842, 7480, 4828, 13445, 14313, 267, 5675, 9669, 267, 543, 12726, 3267, 1323, 16878, 1557, 568, 7713, 1945, 547, 519, 5304, 543, 538, 1931, 547, 1118, 519, 5304, 3494, 596, 616, 2953, 267, 596, 1058, 946, 606, 6662, 543, 9243, 3159, 269, 5213, 1405, 14589, 1932, 25981, 610, 596, 786, 3280, 899, 513, 6455, 12334, 2864, 982, 606, 22265, 2707, 540, 1344, 269, 16077, 1401, 1842, 7480, 4828, 5675, 281, 1215, 3562, 267, 27842, 1299, 6201, 1403, 596, 1616, 547, 2328, 606, 16878, 1557, 827, 519, 1404, 16077, 543, 1616, 547, 917, 875, 547, 1376, 267, 621, 779, 1271, 547, 1205, 707, 3948, 540, 3483, 267, 610, 5098, 267, 23125, 856, 1101, 269, 1323, 16878, 1557, 267, 3314, 267, 568, 1759, 593, 23610, 1344, 267, 14365, 28666, 547, 2491, 547, 519, 5467, 1945, 789, 1522, 711, 917, 2907, 563, 2750, 1842, 7480, 4828, 281, 1215, 547, 3503, 543, 12856, 606, 1401, 1842, 7480, 4429, 763, 6093, 2497, 585, 606, 16878, 1557, 568, 519, 2757, 2947, 24733, 4588, 1557, 269, 901, 2882, 606, 4367, 267, 513, 3932, 267, 543, 1614, 9433, 585, 519, 1560, 269, 901, 568, 519, 2596, 1557, 2497, 269, 4107, 569, 519, 1560, 9433, 616, 3908, 547, 835, 5705, 8084, 1142, 269, 4746, 538, 519, 16878, 1603, 519, 1297, 540, 9433, 949, 4268, 2687, 547, 2796, 269, 1215, 547, 3503, 606, 1401, 1842, 7480, 4828, 281, 589, 5153, 8386, 28157, 6651, 454, 275, 14168, 18467, 547, 3503, 606, 1401, 1842, 7480, 4828, 910, 15825, 454, 14457, 1215, 547, 12856, 30551, 270, 2750, 1842, 7480, 5675, 634, 3932, 19595, 519, 5467, 540, 519, 1557, 781, 1292, 1448, 676, 28388, 267, 4947, 2407, 5858, 267, 3695, 519, 4644, 540, 1945, 267, 6998, 513, 2243, 267, 5356, 1007, 4030, 267, 3092, 269, 769, 1931, 547, 2285, 596, 513, 2631, 540, 1018, 519, 2497, 540, 606, 10763, 270, 1410, 1842, 7480, 5888, 5654, 899, 267, 519, 1739, 1557, 267, 834, 763, 3004, 11551, 5020, 543, 12280, 540, 654, 11035, 454, 1692, 547, 3503, 606, 1401, 1842, 7480, 4828, 281, 9509, 6651, 910, 918, 1170, 3240, 22967, 454, 2080, 596, 786, 1265, 711, 1152, 782, 2556, 3877, 585, 1603, 513, 22510, 1557, 267, 855, 849, 1265, 606, 2626, 547, 519, 2243, 1107, 1946, 16929, 946, 971, 1826, 540, 10467, 693, 1153, 543, 2852, 269, 1401, 1842, 7480, 1557, 1603, 910, 3503, 513, 1557, 585, 803, 454, 2304, 4367, 547, 519, 2010, 540, 16878, 1557, 1603, 543, 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 ]
[ 982, 835, 3196, 616, 9117, 593, 513, 1560, 267, 1287, 519, 1198, 593, 519, 1560, 568, 1813, 547, 519, 2121, 3196, 269, 1879, 513, 3196, 568, 4294, 593, 513, 19335, 1843, 621, 7575, 267, 922, 3432, 543, 4287, 1689, 269, 6684, 267, 513, 3196, 568, 2838, 547, 3247, 606, 1843, 538, 5163, 780, 2304, 1843, 666, 1689, 922, 3337, 1813, 547, 3196, 269, 2755, 9054, 8172, 513, 14859, 1500, 689, 7912, 267, 519, 14859, 2242, 922, 3337, 950, 513, 3196, 568, 4294, 269, 589, 1494, 614, 10039, 513, 3196, 538, 513, 1808, 4287, 1247, 5935, 519, 1494, 269, 11676, 828, 267, 950, 21401, 267, 21040, 269, 1703, 616, 1082, 971, 1806, 269, 2073, 692, 9223, 476, 277, 563, 1432, 616, 7059, 4229, 888, 2252, 513, 1560, 568, 19500, 2390, 676, 1079, 4229, 267, 3160, 538, 9588, 267, 6587, 538, 4287, 543, 2348, 519, 1482, 1899, 540, 2962, 267, 519, 4229, 616, 1572, 7059, 4229, 269, 3371, 267, 519, 2121, 3196, 9117, 593, 519, 1560, 568, 4642, 780, 9223, 476, 278, 563, 1432, 568, 606, 796, 29446, 3196, 888, 2252, 1079, 610, 811, 4229, 957, 593, 513, 1560, 971, 602, 741, 25739, 568, 711, 4642, 267, 519, 25739, 568, 606, 796, 29446, 3196, 563, 314, 9616, 281, 1133, 29446, 3196, 9117, 593, 513, 1560, 815, 2527, 540, 519, 1560, 6398, 10231, 540, 519, 1560, 269, 6540, 9223, 476, 279, 563, 23737, 281, 10414, 814, 9588, 607, 1134, 607, 4287, 269, 10758, 10414, 568, 513, 6152, 7274, 563, 763, 1198, 540, 3196, 4294, 547, 513, 1560, 5673, 2390, 875, 1454, 3196, 649, 3761, 267, 1775, 4318, 1421, 519, 9588, 540, 519, 3196, 267, 543, 519, 4287, 538, 799, 519, 3196, 568, 4294, 269, 6333, 513, 3440, 693, 1964, 593, 519, 2666, 269, 1879, 6902, 649, 7903, 621, 267, 621, 6238, 12902, 269, 634, 3152, 519, 4294, 3196, 267, 519, 3152, 568, 519, 3432, 9715, 676, 519, 3440, 780, 13706, 513, 1560, 3001, 538, 513, 2786, 1899, 267, 1403, 649, 4019, 513, 3196, 538, 519, 4287, 540, 5163, 540, 519, 1560, 267, 519, 3432, 540, 519, 1560, 4679, 269, 2201, 519, 14669, 267, 952, 649, 4019, 513, 3196, 538, 519, 4287, 6587, 547, 602, 540, 5163, 540, 519, 1560, 267, 519, 3432, 540, 519, 1560, 11081, 269, 1452, 630, 1806, 1397, 602, 3196, 814, 9588, 607, 1134, 607, 4287, 267, 1775, 4318, 1421, 3196, 568, 513, 6152, 7274, 780, 9223, 476, 280, 563, 23737, 519, 2165, 7059, 4229, 563, 13706, 513, 14461, 1560, 19500, 2390, 676, 1079, 4229, 267, 3160, 538, 9588, 267, 6587, 538, 1547, 4287, 543, 2348, 519, 1482, 1899, 540, 2962, 269, 1452, 4229, 616, 1572, 7059, 4229, 607, 741, 2121, 1198, 593, 519, 1560, 568, 4642, 563, 7078, 281, 589, 4837, 28973, 6854, 593, 513, 3349, 568, 19500, 2390, 676, 1079, 7059, 4229, 281, 630, 328, 264, 519, 2597, 540, 519, 28973, 9117, 18746, 543, 630, 4512, 264, 519, 16057, 3196, 593, 519, 28973, 1813, 547, 519, 3349, 269, 4256, 2121, 1198, 593, 519, 28973, 1373, 4642, 267, 519, 28973, 3788, 693, 1964, 780, 9223, 476, 1015, 563, 23737, 519, 2165, 796, 29446, 3196, 563, 288, 2582, 3196, 9117, 593, 513, 1560, 568, 606, 796, 29446, 3196, 269, 898, 7472, 10231, 538, 519, 1560, 269, 1403, 1079, 610, 811, 4229, 957, 593, 513, 1560, 971, 602, 741, 25739, 568, 711, 4642, 267, 519, 25739, 568, 606, 796, 29446, 3196, 3743, 585, 23960, 519, 1560, 563, 7078, 281, 1879, 513, 3440, 14084, 593, 519, 2666, 568, 5734, 609, 513, 10627, 267, 519, 3440, 568, 1305, 538, 5163, 676, 519, 4294, 3196, 780, 9223, 476, 1556, 563, 1432, 786, 4755, 952, 519, 3196, 568, 6569, 4625, 950, 606, 1843, 4203, 2231, 513, 1978, 3432, 888, 2252, 519, 3196, 568, 6569, 4625, 950, 606, 1843, 4203, 2231, 513, 1978, 3432, 267, 519, 1843, 786, 1847, 609, 519, 6991, 621, 814, 693, 519, 8216, 519, 3196, 568, 6569, 780, 2690, 1383, 267, 513, 1560, 3001, 609, 3586, 3432, 2059, 513, 9764, 2619, 538, 513, 8880, 7077, 786, 8038, 8126, 1113, 569, 538, 519, 2631, 540, 5163, 952, 519, 1298, 686, 7065, 531, 3196, 630, 1492, 3196, 9859, 2509, 519, 8998, 540, 519, 5858, 264, 568, 6569, 4625, 780, 29490, 3314, 1384, 272, 269, 634, 12402, 540, 606, 1843, 547, 2611, 538, 922, 4540, 1533, 568, 1572, 922, 24880, 563, 273, 269, 901, 568, 1946, 606, 1843, 538, 19335, 1533, 3788, 538, 519, 1482, 1533, 543, 606, 1843, 538, 5163, 2611, 538, 519, 1533, 540, 5163, 538, 519, 9000, 540, 606, 5007, 3196, 780, 15650, 540, 24880, 1384, 272, 269, 769, 1068, 807, 540, 519, 1533, 540, 1964, 281, 1323, 1843, 538, 519, 1533, 540, 1964, 3112, 1689, 922, 1533, 540, 1964, 1813, 547, 922, 7915, 3959, 269, 901, 3959, 568, 1572, 519, 24880, 540, 519, 1533, 540, 1964, 780, 273, 269, 769, 1068, 807, 540, 5163, 281, 634, 7915, 3959, 540, 606, 1843, 1813, 547, 799, 922, 1533, 540, 5163, 3112, 1689, 267, 568, 1572, 922, 24880, 540, 5163, 269, 1280, 1383, 267, 513, 2847, 6295, 685, 3167, 10178, 5170, 547, 31721, 1256, 1310, 621, 568, 23564, 1055, 267, 15915, 9361, 538, 519, 4881, 1668, 1205, 7098, 330, 538, 519, 4464, 4287, 952, 519, 1668, 10393, 13515, 780, 274, 269, 667, 27399, 24880, 281, 634, 7915, 3959, 540, 606, 1843, 1813, 547, 799, 519, 1843, 3112, 1689, 519, 4287, 540, 922, 5163, 267, 568, 1572, 4287, 531, 24880, 269, 1280, 1383, 267, 952, 513, 6174, 538, 5163, 2059, 513, 2786, 1899, 10393, 7140, 267, 519, 15915, 9361, 538, 621, 616, 16207, 6587, 547, 519, 4287, 540, 7432, 780, 2521, 713, 912, 12244, 476, 272, 912, 12648, 513, 2022, 15258, 543, 1832, 621, 593, 513, 4837, 269, 5901, 513, 476, 276, 22859, 701, 324, 11777, 593, 621, 269, 3767, 1236, 559, 2685, 7903, 519, 3556, 269, 634, 11777, 2786, 2476, 8813, 538, 519, 4837, 269, 5620, 596, 2479, 2944, 713, 888, 8133, 269, 630, 15008, 281, 634, 2022, 15258, 7575, 4464, 1813, 547, 519, 4294, 3196, 543, 1287, 8813, 1813, 547, 519, 3618, 779, 14965, 3196, 269, 769, 519, 9000, 540, 7850, 535, 2774, 1308, 3196, 1063, 519, 11777, 543, 519, 2022, 15258, 267, 519, 11777, 1281, 711, 1847, 4464, 609, 519, 2022, 15258, 267, 855, 2786, 12537, 8813, 538, 519, 4837, 1813, 547, 519, 3618, 779, 14965, 3196, 24355, 12244, 476, 273, 281, 670, 836, 513, 3368, 513, 4846, 2527, 689, 513, 1796, 267, 609, 513, 5569, 476, 272, 269, 570, 773, 1776, 5569, 476, 273, 547, 519, 2527, 543, 1832, 621, 16304, 269, 3767, 7485, 519, 5569, 476, 273, 609, 513, 795, 17064, 269, 634, 5569, 476, 273, 9397, 855, 519, 2527, 1281, 711, 2887, 269, 24581, 2527, 1281, 711, 1847, 269, 3767, 7485, 519, 5569, 476, 273, 7444, 269, 634, 5569, 476, 272, 9397, 543, 519, 2527, 2887, 1524, 269, 901, 568, 1317, 540, 519, 8082, 2919, 538, 519, 5569, 476, 273, 1813, 547, 519, 2527, 780, 263, 15008, 281, 630, 272, 264, 1306, 1100, 3196, 6411, 593, 519, 2527, 267, 621, 3788, 693, 1964, 1813, 547, 24880, 269, 630, 273, 264, 634, 6771, 540, 3196, 2164, 538, 519, 8082, 538, 519, 5569, 476, 272, 269, 1306, 519, 5569, 476, 272, 3112, 16641, 621, 267, 621, 9397, 543, 519, 2527, 8813, 1524, 24355, 9223, 476, 1321, 563, 1432, 616, 519, 1614, 2010, 540, 24880, 888, 15650, 540, 24880, 1384, 1892, 24880, 540, 1964, 454, 1892, 24880, 540, 5163, 454, 1892, 24880, 540, 4287, 780, 9223, 476, 1724, 563, 1432, 568, 24880, 540, 1964, 7790, 12315, 1079, 1806, 540, 24880, 540, 1964, 563, 763, 7915, 3959, 540, 513, 1560, 676, 16495, 540, 799, 621, 3112, 1689, 922, 1533, 540, 1964, 568, 1572, 519, 24880, 540, 1964, 563, 14300, 1384, 272, 269, 1879, 649, 7452, 513, 24095, 267, 519, 24095, 7575, 855, 519, 7452, 5536, 538, 621, 2611, 693, 1964, 1813, 547, 24880, 543, 8754, 1205, 9674, 689, 519, 24095, 269, 9747, 267, 519, 24095, 3587, 2973, 563, 273, 269, 1879, 513, 1668, 6238, 10393, 267, 519, 15915, 1995, 513, 18807, 17064, 1813, 547, 24880, 780, 9223, 476, 1691, 563, 1432, 568, 24880, 540, 5163, 286, 12315, 1079, 1806, 540, 24880, 540, 5163, 563, 763, 7915, 3959, 540, 513, 1560, 676, 16495, 540, 799, 621, 3112, 1689, 922, 1533, 540, 5163, 568, 1572, 519, 24880, 540, 5163, 563, 14300, 1384, 272, 269, 1879, 513, 10178, 568, 23564, 1055, 267, 922, 19059, 3136, 547, 17967, 585, 930, 942, 269, 9603, 547, 4835, 11508, 543, 11508, 609, 2011, 267, 519, 19059, 540, 519, 10178, 3247, 15914, 1310, 930, 942, 563, 273, 269, 10426, 12310, 538, 513, 1668, 1995, 513, 4464, 17064, 950, 519, 1668, 13515, 10393, 1813, 547, 3498, 540, 26039, 780, 9223, 476, 1428, 563, 1432, 568, 24880, 540, 4287, 286, 12315, 1079, 1806, 540, 24880, 540, 4287, 563, 763, 7915, 3959, 540, 513, 1560, 676, 16495, 540, 799, 621, 3112, 1689, 922, 4287, 540, 5163, 568, 1572, 519, 24880, 540, 4287, 563, 14300, 1384, 272, 269, 2755, 8325, 2287, 513, 17180, 267, 31168, 8038, 1055, 8126, 1113, 569, 538, 519, 2631, 540, 5163, 689, 519, 8860, 6149, 563, 273, 269, 1879, 513, 6174, 7575, 267, 519, 16095, 5536, 23578, 547, 922, 14743, 8038, 1055, 8126, 1113, 569, 538, 519, 2631, 540, 5163, 269, 9747, 267, 16095, 7666, 1841, 616, 19034, 547, 6472, 780, 9223, 476, 1626, 563, 3963, 798, 649, 2887, 2427, 1811, 950, 649, 616, 9361, 538, 513, 1668, 543, 621, 3217, 513, 8325, 2490, 888, 2691, 649, 1694, 538, 513, 1668, 543, 519, 1668, 568, 538, 5163, 267, 649, 616, 538, 513, 1533, 540, 5163, 538, 519, 1482, 4287, 269, 1879, 519, 1668, 3217, 513, 8325, 2490, 267, 938, 1560, 11148, 547, 2226, 519, 1533, 540, 5163, 538, 519, 2786, 1899, 1813, 547, 24880, 269, 634, 6712, 540, 938, 1560, 538, 6109, 3346, 609, 519, 10160, 4203, 2231, 519, 5163, 2059, 519, 17208, 2619, 267, 855, 519, 5580, 6712, 540, 938, 1560, 267, 11148, 547, 1847, 538, 519, 3355, 4287, 540, 5163, 269, 9747, 267, 649, 2887, 2427, 1811, 780, 9223, 476, 1704, 563, 1432, 4523, 950, 596, 21199, 513, 6632, 4062, 540, 12308, 286, 11512, 707, 8343, 780, 272, 269, 1879, 649, 21199, 513, 6632, 4062, 540, 12308, 267, 1216, 20256, 2097, 856, 563, 273, 269, 21231, 267, 519, 6632, 4062, 540, 12308, 568, 693, 1964, 269, 1879, 519, 12308, 568, 695, 2586, 267, 621, 568, 18965, 267, 855, 519, 1216, 20256, 538, 621, 267, 1813, 547, 24880, 267, 4043, 547, 2226, 519, 1533, 540, 1964, 269, 9747, 267, 519, 20256, 2097, 856, 780, 9223, 476, 1240, 563, 2252, 26039, 616, 10393, 4294, 547, 513, 3001, 1286, 267, 519, 15915, 538, 519, 1286, 616, 14593, 538, 519, 4464, 4287, 269, 11512, 1946, 563, 272, 269, 634, 15915, 538, 513, 3001, 1286, 723, 519, 1482, 6991, 607, 602, 540, 519, 1286, 269, 1879, 26039, 616, 10393, 4294, 547, 519, 1286, 267, 621, 13515, 10393, 543, 519, 2539, 2694, 540, 519, 15915, 685, 4703, 538, 3346, 609, 519, 16295, 267, 2097, 547, 1964, 780, 273, 269, 634, 5580, 2694, 540, 741, 4703, 267, 2705, 267, 3136, 547, 581, 538, 513, 1533, 540, 5163, 1813, 547, 24880, 269, 9747, 267, 519, 15915, 616, 14593, 538, 519, 4464, 4287, 780, 9223, 476, 866, 563, 288, 1268, 620, 18017, 689, 513, 3001, 5721, 568, 2693, 547, 2887, 538, 519, 4287, 540, 5163, 540, 519, 5721, 269, 11512, 1946, 780, 272, 269, 589, 1268, 538, 513, 3001, 5721, 814, 519, 1482, 6991, 607, 602, 540, 519, 5721, 269, 2991, 620, 18017, 689, 519, 3001, 5721, 1010, 3952, 2097, 547, 1964, 593, 519, 3760, 563, 273, 269, 1717, 267, 1813, 547, 24880, 267, 519, 5580, 851, 540, 1010, 1560, 5170, 547, 581, 538, 513, 1533, 540, 5163, 538, 519, 4287, 540, 5163, 540, 519, 5721, 269, 9747, 267, 646, 568, 2693, 547, 2887, 538, 519, 4287, 540, 5163, 540, 519, 5721, 780, 2521, 713, 1384, 12244, 476, 274, 281, 6875, 930, 8325, 11329, 18969, 543, 7903, 873, 883, 513, 11308, 28506, 676, 17200, 532, 593, 741, 9843, 269, 3767, 1491, 286, 513, 17970, 543, 3180, 621, 609, 922, 2212, 593, 519, 28506, 543, 17200, 621, 1524, 689, 519, 11329, 1439, 269, 1879, 10296, 519, 5373, 20382, 883, 513, 5373, 4604, 267, 789, 1205, 883, 519, 4604, 3362, 269, 1635, 7311, 513, 3196, 1210, 519, 14853, 835, 666, 7903, 519, 20382, 883, 519, 12545, 269, 2201 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 476, 8182, 271, 338, 267, 476, 10204, 271, 338, 267, 543, 476, 5197, 271, 338, 269, 3267, 898, 849, 9788, 519, 5748, 585, 3703, 454, 24645, 4341, 538, 519, 1016, 29657, 269, 901, 1957, 12116, 519, 3267, 2296, 16313, 454, 663, 2663, 6462, 676, 12057, 269, 1717, 10371, 1862, 589, 2147, 1305, 540, 2621, 7018, 454, 333, 792, 23099, 907, 568, 28971, 1317, 621, 1185, 7646, 2942, 2360, 593, 1312, 519, 661, 2975, 543, 454, 309, 8016, 269, 476, 4029, 3267, 0, 25200, 281, 27285, 20540, 281, 27286, 1607, 7688, 5161, 540, 476, 276, 2789, 3903, 543, 476, 276, 2110, 2626, 2055, 998, 3848, 476, 273, 910, 16713, 563, 21296, 14893, 5999, 454, 272, 269, 7316, 1705, 519, 8187, 619, 1832, 519, 2724, 789, 10710, 909, 585, 741, 7552, 888, 5416, 264, 634, 8280, 540, 14986, 781, 10571, 563, 6357, 264, 634, 1603, 11380, 563, 6262, 264, 1325, 2006, 15605, 781, 11058, 563, 5560, 264, 634, 7912, 19943, 563, 273, 269, 1548, 2681, 729, 519, 2915, 602, 23718, 1336, 538, 17857, 888, 5416, 264, 6519, 543, 9466, 563, 6262, 264, 4563, 543, 18000, 563, 274, 269, 1215, 1454, 729, 606, 23505, 540, 2244, 9513, 585, 538, 5617, 18484, 267, 27228, 888, 275, 269, 1548, 1281, 23718, 2161, 568, 1455, 538, 28818, 6019, 888, 5416, 264, 645, 732, 20483, 9640, 563, 6262, 264, 4563, 1004, 563, 276, 269, 1215, 1082, 5195, 606, 5662, 1705, 519, 530, 30368, 2951, 888, 14112, 8382, 5999, 454, 272, 269, 1215, 729, 519, 6609, 540, 519, 4760, 1354, 10024, 16713, 888, 273, 269, 1215, 1705, 23718, 4766, 519, 1004, 538, 853, 269, 6307, 338, 888, 274, 269, 1548, 5757, 538, 17857, 1705, 519, 8187, 619, 3444, 513, 1906, 2053, 888, 275, 269, 1548, 1705, 14986, 781, 3237, 1205, 7210, 609, 693, 519, 4098, 540, 519, 1433, 888, 276, 269, 1215, 1164, 729, 519, 2837, 593, 519, 1101, 1554, 540, 519, 3460, 888, 1607, 3296, 3568, 476, 13932, 1913, 454, 26140, 269, 476, 272, 2985, 693, 476, 4968, 1913, 829, 2985, 264, 0, 4942, 6185, 269, 2875, 10127, 7534, 10598, 16905, 543, 7548, 1772, 8475, 548, 700, 4768, 542, 689, 5442, 11965, 262, 292, 879, 6833, 516, 30287, 928, 618, 3194, 10418, 267, 538, 5698, 609, 824, 8225, 267, 772, 2529, 1421, 543, 3943, 3173, 267, 723, 1044, 4974, 15655, 5434, 3812, 676, 555, 1177, 532, 7989, 2378, 15543, 538, 519, 8225, 11848, 269, 1452, 5434, 616, 7494, 19765, 13846, 538, 1699, 2916, 3631, 563, 19853, 4681, 267, 3370, 538, 519, 4760, 12813, 5308, 21450, 267, 9414, 519, 2956, 540, 2921, 883, 2272, 8511, 9362, 19501, 676, 1507, 555, 1177, 22253, 267, 607, 789, 1223, 723, 513, 1713, 1764, 593, 2916, 563, 20442, 4362, 602, 4352, 519, 1507, 13719, 22253, 649, 6594, 2099, 1152, 476, 4510, 260, 540, 519, 1216, 2275, 2642, 2627, 538, 513, 1635, 14309, 6816, 14860, 267, 789, 5352, 476, 10695, 260, 540, 922, 15655, 5434, 2437, 4967, 1216, 9443, 25719, 2875, 10127, 7534, 10598, 16905, 563, 763, 3173, 3379, 22253, 540, 1114, 5546, 543, 7306, 267, 543, 6594, 741, 13608, 12950, 3601, 543, 15451, 14498, 269, 1677, 5659, 519, 5439, 3144, 593, 1635, 14309, 6816, 538, 715, 684, 822, 583, 781, 590, 3305, 559, 1731, 2817, 5244, 267, 789, 1031, 1585, 2409, 267, 1519, 28650, 6580, 267, 607, 1134, 607, 1007, 22831, 7636, 2645, 547, 1353, 519, 11159, 543, 1216, 15451, 2950, 3238, 538, 3327, 7004, 3157, 563, 763, 13666, 8084, 22782, 540, 519, 15655, 19501, 676, 891, 1507, 22253, 5815, 602, 713, 8511, 3154, 2501, 14356, 689, 2025, 3327, 14425, 602, 723, 1044, 3524, 652, 1229, 538, 519, 7989, 2378, 15543, 585, 27453, 269, 1306, 519, 7989, 2378, 15543, 555, 9155, 267, 5214, 2339, 568, 4742, 811, 10731, 267, 5009, 519, 18735, 540, 12748, 17973, 971, 607, 8715, 534, 8328, 16329, 320, 267, 799, 946, 1585, 2959, 540, 3327, 267, 1287, 5305, 621, 883, 519, 5790, 538, 519, 1106, 540, 15655, 543, 2910, 273, 269, 9182, 267, 3476, 28782, 1223, 1291, 547, 606, 2333, 538, 891, 5434, 563, 4322, 1507, 555, 1177, 22253, 723, 1044, 6594, 1360, 2370, 909, 2394, 1631, 267, 5097, 1317, 540, 741, 6552, 4087, 543, 519, 7390, 656, 2845, 6750, 10148, 269, 1717, 538, 519, 2796, 540, 2518, 8337, 267, 789, 616, 4502, 6313, 811, 5702, 267, 607, 789, 1223, 723, 606, 5051, 1713, 11841, 593, 519, 4483, 540, 8511, 9362, 883, 519, 5790, 538, 519, 2104, 563, 294, 1047, 548, 12157, 3027, 1923, 31823, 2336, 6124, 5530, 4024, 6435, 4855, 519, 7454, 16511, 725, 585, 26365, 5295, 853, 725, 538, 19360, 454, 866, 269, 4905, 269, 1001, 278, 1923, 2160, 540, 20944, 1156, 7921, 454, 12850, 910, 607, 519, 5817, 9920, 540, 519, 3047, 779, 3327, 4783, 454, 1704, 269, 4905, 269, 1001, 278, 1923, 7665, 268, 23945, 1188, 268, 9743, 26623, 24166, 12713, 613, 32554, 773, 454, 2304, 1271, 1900, 2509, 513, 4625, 1007, 8097, 1569, 547, 7061, 6323, 814, 1044, 1500, 693, 2160, 540, 23951, 560, 11961, 269, 634, 2319, 540, 3744, 18188, 676, 2483, 312, 619, 514, 23706, 2014, 4049, 15499, 5563, 269, 5525, 1210, 962, 619, 27091, 15554, 582, 21310, 17533, 607, 513, 2203, 11248, 2832, 547, 30881, 519, 3968, 6127, 540, 891, 2483, 12867, 689, 519, 2160, 540, 31297, 538, 5125, 267, 538, 5698, 609, 9164, 689, 519, 2160, 540, 589, 541, 327, 639, 538, 16862, 267, 723, 24704, 513, 1007, 21367, 532, 1570, 676, 3395, 513, 1906, 6106, 540, 606, 1884, 11717, 11424, 5912, 2173, 13926, 669, 531, 322, 4094, 728, 593, 513, 536, 1143, 3578, 2861, 30490, 1202, 15975, 267, 1312, 1373, 1875, 1606, 10967, 17238, 532, 2326, 563, 4407, 21367, 2032, 543, 11275, 1143, 616, 3622, 5156, 547, 581, 20102, 12600, 267, 19599, 267, 538, 713, 1007, 1570, 267, 21367, 532, 21374, 2483, 299, 6471, 28391, 540, 5033, 22015, 1023, 2636, 2870, 3209, 844, 553, 760, 14835, 2829, 1369, 27772, 2339, 1949, 543, 15175, 1063, 1114, 2829, 593, 16600, 9724, 942, 10253, 454, 6597, 3539, 3601, 540, 4909, 5536, 538, 27772, 2339, 1949, 568, 513, 9621, 1935, 547, 7061, 2361, 3069, 269, 2372, 553, 760, 14895, 2709, 519, 4316, 2483, 16449, 519, 2489, 1857, 267, 3859, 8143, 1648, 568, 4867, 2404, 609, 4158, 4544, 267, 14328, 19216, 593, 2679, 22908, 269, 16370, 616, 2877, 585, 8353, 24312, 1164, 2298, 6189, 799, 2709, 519, 4056, 811, 4055, 585, 812, 4141, 12320, 516, 950, 621, 2501, 547, 1970, 268, 543, 7132, 20589, 5656, 269, 2060, 519, 968, 6635, 298, 565, 892, 1788, 267, 3173, 693, 29163, 4959, 292, 1927, 609, 4891, 616, 4867, 3384, 1079, 3655, 9809, 1228, 19216, 585, 3859, 8143, 1648, 5108, 267, 799, 11863, 513, 1164, 4110, 540, 1374, 8112, 281, 513, 14816, 21689, 585, 32630, 3655, 9809, 1228, 6810, 543, 513, 3859, 8143, 9420, 585, 12001, 6810, 269, 634, 1699, 1533, 540, 519, 1079, 7835, 786, 581, 4843, 693, 519, 22601, 308, 476, 1001, 278, 4123, 4023, 563, 2026, 851, 540, 519, 968, 6635, 298, 565, 1107, 1646, 540, 4056, 12147, 3810, 7471, 3655, 9809, 1228, 19216, 609, 3002, 12992, 892, 1788, 267, 29163, 4959, 292, 1927, 609, 922, 4891, 2483, 866, 269, 4905, 269, 1001, 278, 1923, 7926, 5240, 454, 1015, 269, 4905, 269, 1001, 278, 1923, 7926, 5240, 454, 6021, 269, 4905, 269, 1001, 278, 1923, 7926, 5240, 454, 736, 269, 4905, 269, 1001, 278, 1923, 22952, 8750, 532, 454, 736, 269, 4905, 269, 1001, 278, 1923, 10049, 7070, 454, 736, 269, 4905, 269, 1001, 278, 1923, 5020, 7070, 0, 1873, 8215, 609, 741, 1378, 17229, 1765, 454, 333, 2967, 6758, 543, 3819, 6758, 609, 771, 515, 767, 1194, 4552, 454, 342, 648, 23157, 540, 4158, 2681, 563, 14367, 14324, 17873, 454, 26200, 16559, 538, 9490, 4025, 269, 1261, 1962, 639, 1287, 454, 516, 18727, 1010, 2212, 543, 3771, 335, 11652, 267, 8748, 2336, 4407, 1010, 6068, 3771, 335, 729, 13735, 1524, 519, 6908, 2676, 527, 22378, 2740, 585, 1864, 3564, 1250, 1379, 547, 2995, 563, 14367, 11469, 1498, 3076, 6804, 267, 579, 1777, 1229, 513, 22378, 333, 995, 3280, 454, 663, 22378, 333, 2685, 519, 5757, 781, 8492, 14452, 912, 517, 1189, 28703, 676, 519, 5757, 547, 519, 4262, 454, 16269, 2451, 741, 5065, 6908, 543, 6603, 519, 13272, 454, 1993, 15776, 321, 657, 693, 29034, 2096, 3534, 269, 2382, 14688, 2676, 320, 9663, 1190, 1583, 25871, 9782, 547, 4323, 519, 2212, 454, 1993, 2107, 15343, 639, 267, 5641, 909, 593, 602, 4914, 5070, 1765, 454, 1492, 4552, 1869, 6632, 609, 10936, 269, 1912, 4141, 24650, 693, 2063, 454, 1952, 18193, 543, 10710, 519, 2212, 689, 602, 4323, 912, 29592, 519, 1583, 25871, 1223, 1102, 12787, 513, 29097, 2676, 515, 22755, 621, 1055, 267, 543, 2182, 2989, 922, 2647, 28287, 454, 1729, 14461, 6149, 563, 19602, 519, 7904, 7566, 12094, 454, 1993, 2107, 15343, 639, 1185, 26731, 896, 3618, 912, 8145, 1897, 532, 1631, 1346, 4525, 602, 646, 4718, 454, 15290, 972, 1354, 267, 646, 8179, 661, 1722, 323, 823, 454, 10843, 4610, 2505, 5034, 676, 519, 1025, 652, 282, 543, 950, 0, 2005, 655, 6609, 585, 4208, 6153, 568, 6153, 281, 634, 17796, 540, 5651, 1275, 676, 7917, 13130, 324, 2483, 8489, 1705, 938, 5837, 4978, 2097, 689, 286, 2755, 31188, 2103, 543, 3744, 2709, 1114, 543, 1419, 20849, 4267, 267, 713, 1433, 3091, 513, 17326, 4593, 680, 2435, 1935, 267, 5373, 593, 6530, 267, 6138, 267, 12105, 7350, 543, 1514, 19795, 547, 2263, 519, 3140, 8129, 540, 938, 5837, 9479, 269, 769, 938, 6385, 4657, 543, 5051, 1950, 2413, 1158, 267, 649, 616, 10514, 12023, 609, 519, 5837, 2591, 6659, 676, 2152, 971, 607, 4719, 14842, 267, 2810, 7082, 1143, 543, 14051, 269, 7917, 589, 269, 13130, 324, 13187, 602, 606, 1620, 540, 13919, 781, 8129, 666, 12172, 519, 9840, 4478, 891, 4207, 5683, 21140, 269, 1261, 6212, 593, 519, 16799, 1063, 2043, 543, 519, 4529, 538, 799, 789, 2661, 267, 538, 1931, 547, 6542, 602, 5837, 4978, 4096, 593, 519, 4205, 1369, 513, 2486, 267, 799, 3337, 543, 616, 849, 6766, 676, 519, 2418, 543, 8155, 540, 519, 2486, 781, 2497, 269, 2201, 713, 2070, 540, 13919, 267, 5837, 9479, 616, 9444, 20077, 538, 6149, 6862, 11884, 796, 6247, 11712, 910, 519, 4657, 540, 5837, 840, 32383, 936, 942, 9356, 513, 11173, 13172, 545, 1063, 1018, 1004, 798, 543, 1018, 789, 616, 9277, 547, 798, 563, 23220, 1047, 4911, 1564, 568, 6131, 547, 8744, 596, 1390, 2835, 693, 1390, 5777, 269, 6787, 596, 1224, 585, 9913, 267, 547, 1451, 267, 610, 585, 7924, 910, 596, 786, 1265, 1018, 596, 1616, 693, 9153, 836, 1564, 2593, 2336, 15307, 269, 13268, 1645, 17435, 5014, 281, 20099, 281, 476, 280, 269, 3607, 257, 654, 5954, 281, 476, 277, 269, 1240, 257, 27551, 281, 476, 271, 269, 10463, 257, 13379, 281, 476, 271, 269, 8660, 7273, 563, 3725, 3161, 11261, 3057, 476, 3066, 267, 476, 1220, 273, 454, 25835, 476, 271, 6078, 276, 2767, 4037, 274, 272, 9768, 1724, 476, 7818, 271, 6078, 276, 2767, 4037, 274, 273, 454, 13510, 22355, 476, 16960, 4559, 269, 2997, 22355, 4977, 607, 540, 3967, 476, 2641, 267, 476, 1001, 278, 476, 6349, 281, 6187, 563, 29995, 9635, 1369, 835, 547, 1079, 1870, 2395, 689, 5487, 966, 1120, 928, 267, 570, 301, 563, 302, 6113, 619, 11288, 547, 606, 2232, 824, 982, 513, 9672, 15894, 9315, 1315, 9796, 25659, 645, 3739, 2232, 949, 1651, 584, 543, 3606, 4393, 8488, 563, 5415, 6168, 7917, 13130, 324, 454, 27144, 589, 269, 13130, 324, 595, 23813, 568, 7905, 540, 18143, 3163, 693, 853, 269, 3627, 781, 5441, 267, 11062, 269, 1261, 814, 2854, 4922, 593, 3584, 607, 3309, 607, 4984, 543, 2257, 267, 18186, 1108, 267, 15257, 267, 19795, 267, 6530, 267, 543, 15022, 603, 1108, 269, 3571, 1034, 2487, 1433, 568, 4208, 29331, 6431, 626, 630, 305, 719, 1578, 267, 476, 1960, 280, 1916, 27144, 13130, 324, 814, 606, 4081, 30901, 607, 5205, 910, 2160, 540, 11062, 267, 4279, 6628, 2160, 540, 11062, 267, 5177, 1133, 328, 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 ]
[ 9099, 5640, 2154, 2367, 547, 2709, 519, 16601, 2892, 520, 538, 30798, 630, 329, 4821, 262, 1695, 1070, 3297, 606, 708, 600, 950, 789, 616, 2111, 2705, 267, 2687, 547, 1034, 9099, 5640, 267, 11755, 538, 30798, 568, 1590, 1695, 13741, 630, 516, 5570, 2105, 264, 585, 2367, 267, 952, 789, 616, 2111, 547, 798, 865, 4586, 14611, 2376, 281, 11016, 11755, 454, 763, 808, 636, 340, 262, 1695, 568, 513, 7249, 2958, 1049, 11755, 593, 11016, 267, 799, 30283, 519, 2098, 7795, 337, 11755, 269, 898, 568, 25471, 2390, 2367, 547, 7281, 713, 538, 30798, 267, 1247, 2021, 949, 7281, 621, 865, 610, 2709, 2098, 7795, 337, 11755, 3079, 269, 808, 636, 340, 262, 1695, 5161, 540, 513, 28005, 517, 630, 16223, 583, 321, 1695, 1070, 1310, 799, 1079, 986, 330, 1846, 616, 7281, 539, 269, 4595, 519, 737, 327, 583, 321, 1695, 30283, 519, 1079, 986, 330, 520, 540, 2098, 7795, 337, 267, 621, 568, 5156, 602, 6947, 547, 621, 5402, 9104, 919, 519, 555, 1177, 5953, 321, 540, 476, 273, 986, 330, 520, 563, 763, 2892, 1695, 540, 519, 1412, 296, 1485, 333, 568, 1767, 593, 519, 544, 1941, 902, 540, 15234, 292, 573, 620, 6363, 527, 337, 543, 1412, 292, 573, 606, 5991, 1695, 337, 269, 634, 661, 573, 11755, 568, 9286, 676, 930, 607, 535, 731, 267, 2693, 606, 1367, 17185, 630, 325, 731, 620, 268, 599, 333, 264, 1498, 930, 9099, 5640, 8044, 621, 568, 1152, 513, 7104, 17185, 630, 325, 731, 620, 10275, 604, 599, 1695, 1040, 898, 5161, 540, 1079, 986, 330, 1846, 267, 609, 5722, 630, 528, 1614, 585, 519, 13794, 1955, 600, 26512, 12390, 604, 320, 264, 512, 752, 321, 15077, 6035, 1354, 519, 1376, 540, 519, 1101, 986, 330, 520, 543, 2947, 630, 528, 1614, 585, 519, 13794, 540, 1955, 600, 26512, 12390, 604, 320, 264, 1354, 519, 2034, 269, 2991, 519, 2892, 1695, 568, 6192, 267, 513, 28005, 517, 630, 16223, 583, 321, 1695, 264, 568, 6035, 269, 1717, 267, 519, 737, 327, 583, 321, 1695, 568, 711, 606, 7533, 851, 540, 519, 661, 573, 2892, 1695, 269, 634, 661, 573, 2892, 1695, 1590, 581, 6035, 1063, 3141, 23438, 543, 3020, 29869, 1775, 4318, 269, 1063, 519, 942, 5712, 585, 674, 1690, 337, 543, 2098, 7795, 337, 563, 14611, 2376, 281, 10016, 699, 5766, 2218, 19001, 454, 26422, 14269, 12356, 1685, 18593, 3141, 333, 1695, 2892, 1695, 630, 14179, 27035, 19001, 6035, 676, 17124, 264, 540, 1079, 6688, 281, 3141, 333, 1695, 18665, 262, 752, 330, 611, 1695, 630, 591, 1881, 3141, 333, 1695, 264, 543, 3141, 333, 1695, 575, 327, 1515, 2173, 340, 262, 752, 330, 611, 1695, 630, 684, 591, 1881, 3141, 333, 1695, 1040, 634, 3119, 3017, 1063, 519, 1079, 1373, 519, 4908, 540, 17124, 2348, 5340, 519, 4143, 2892, 1695, 269, 15742, 3141, 333, 1695, 19001, 723, 11311, 2053, 269, 8409, 3921, 7134, 585, 1354, 1142, 540, 519, 535, 731, 19001, 1590, 581, 6035, 1063, 519, 1101, 1289, 547, 11755, 630, 611, 7315, 264, 543, 519, 2034, 1289, 630, 28999, 600, 1695, 1070, 799, 19752, 519, 1376, 540, 519, 535, 731, 11755, 269, 8409, 3141, 333, 1695, 3921, 7134, 585, 1310, 519, 535, 731, 19001, 666, 581, 1767, 1022, 942, 1063, 519, 1439, 540, 519, 535, 731, 19001, 543, 519, 1439, 540, 519, 1699, 11755, 781, 3649, 336, 339, 563, 4407, 6129, 14269, 12356, 19665, 891, 19001, 607, 3141, 333, 1695, 267, 1744, 807, 2015, 873, 562, 2378, 331, 269, 715, 2378, 331, 2892, 1695, 616, 17319, 543, 666, 581, 6035, 693, 1022, 942, 269, 3509, 6129, 14269, 12356, 849, 2709, 1079, 986, 330, 1846, 540, 562, 2378, 331, 2892, 1695, 1310, 519, 2098, 7795, 337, 543, 7395, 327, 1026, 19001, 269, 4438, 519, 1772, 3873, 11755, 267, 789, 7281, 519, 1079, 986, 330, 1846, 540, 562, 2378, 331, 1310, 519, 1079, 3141, 333, 1695, 18665, 262, 752, 330, 611, 1695, 543, 530, 1690, 756, 19001, 269, 1703, 616, 1082, 1808, 2175, 610, 3871, 950, 835, 949, 6999, 547, 2709, 562, 2378, 331, 19001, 269, 1358, 3112, 581, 6035, 693, 3141, 23438, 267, 3020, 29869, 267, 610, 23863, 269, 634, 29611, 1996, 2892, 1695, 693, 891, 2053, 568, 547, 2061, 519, 2259, 540, 3141, 10847, 269, 2368, 12356, 2709, 17319, 19001, 5612, 1354, 543, 1310, 519, 2947, 11311, 19001, 269, 589, 3349, 540, 891, 19001, 568, 2016, 2630, 563, 347, 15253, 6160, 800, 630, 325, 731, 264, 11755, 1475, 14157, 27035, 1354, 535, 731, 314, 339, 476, 272, 316, 1475, 302, 4565, 580, 2218, 1475, 14157, 27035, 1310, 535, 731, 314, 339, 476, 272, 316, 1475, 13707, 2008, 26180, 1690, 337, 1475, 273, 986, 330, 520, 382, 353, 1475, 273, 986, 330, 520, 314, 339, 476, 272, 316, 1475, 273, 986, 330, 520, 314, 339, 476, 272, 316, 1475, 14085, 1475, 273, 986, 330, 520, 314, 339, 476, 272, 316, 1475, 275, 678, 13954, 277, 678, 8198, 347, 313, 7795, 337, 1475, 275, 986, 330, 520, 382, 353, 1475, 275, 986, 330, 520, 1475, 275, 986, 330, 520, 314, 339, 476, 273, 316, 1475, 273, 986, 330, 520, 382, 353, 314, 339, 476, 274, 316, 1475, 279, 678, 16804, 339, 476, 272, 6012, 339, 476, 275, 6012, 339, 476, 276, 316, 1475, 1015, 678, 13954, 1626, 678, 8198, 347, 2026, 337, 1475, 275, 986, 330, 520, 587, 350, 1475, 275, 986, 330, 520, 1475, 275, 986, 330, 520, 1475, 14085, 1475, 279, 678, 16804, 339, 476, 272, 6012, 339, 476, 275, 6012, 339, 476, 276, 316, 1475, 279, 678, 13954, 1626, 678, 8198, 23277, 27895, 1026, 1475, 273, 986, 330, 520, 1475, 274, 986, 330, 520, 1475, 274, 986, 330, 520, 1475, 273, 986, 330, 520, 382, 353, 314, 339, 476, 274, 316, 1475, 273, 678, 16804, 339, 476, 272, 6012, 339, 476, 275, 6012, 339, 476, 276, 316, 1475, 278, 678, 13954, 1556, 678, 8198, 347, 296, 3333, 320, 314, 339, 476, 277, 316, 1475, 275, 986, 330, 520, 587, 350, 1475, 275, 986, 330, 520, 1475, 278, 678, 269, 9943, 1475, 275, 678, 13954, 273, 986, 330, 520, 382, 353, 314, 339, 476, 274, 316, 1475, 273, 678, 16804, 339, 476, 272, 6012, 339, 476, 275, 6012, 339, 476, 276, 316, 1475, 1724, 678, 13954, 1015, 678, 8198, 347, 297, 636, 340, 262, 1695, 1475, 273, 986, 330, 520, 587, 350, 1475, 273, 986, 330, 520, 1475, 273, 986, 330, 520, 609, 737, 327, 583, 321, 1695, 1475, 275, 986, 330, 520, 382, 353, 454, 273, 678, 269, 562, 2378, 331, 454, 347, 273, 986, 330, 520, 1475, 1691, 678, 13954, 277, 678, 8198, 347, 382, 353, 281, 18575, 3141, 333, 1695, 18665, 262, 752, 330, 611, 1695, 630, 591, 1881, 3141, 333, 1695, 1070, 799, 1590, 581, 6035, 676, 740, 6254, 338, 540, 519, 12390, 2378, 328, 14834, 327, 4725, 563, 587, 350, 281, 18575, 3141, 333, 1695, 575, 327, 1515, 2173, 340, 262, 752, 330, 611, 1695, 630, 684, 591, 1881, 3141, 333, 1695, 1916, 9943, 281, 6035, 607, 1079, 19001, 540, 476, 275, 543, 476, 274, 986, 330, 520, 1142, 267, 609, 519, 476, 274, 986, 330, 520, 2808, 530, 1690, 756, 543, 5340, 1310, 519, 476, 275, 535, 731, 986, 330, 520, 563, 307, 1695, 1690, 9080, 630, 288, 32106, 281, 12168, 359, 18247, 20901, 18247, 404, 361, 405, 493, 405, 495, 21333, 264, 616, 24101, 699, 5766, 2218, 19001, 6035, 3735, 693, 3781, 269, 21813, 619, 540, 713, 2186, 616, 4767, 689, 28813, 547, 519, 11311, 942, 540, 519, 674, 1690, 337, 11755, 269, 634, 11755, 2882, 1022, 1297, 540, 1256, 986, 330, 520, 267, 5340, 538, 1000, 657, 610, 2185, 338, 267, 4553, 676, 1614, 610, 811, 9642, 986, 330, 520, 540, 18854, 337, 11755, 269, 1744, 807, 12356, 2709, 2147, 19001, 267, 3274, 1572, 3781, 569, 19001, 630, 288, 32106, 281, 12168, 369, 18247, 12022, 18247, 15906, 18247, 8294, 20254, 24291, 12022, 18247, 405, 495, 18716, 12022, 1040, 1452, 616, 2808, 3810, 5789, 3218, 1190, 267, 543, 666, 581, 6035, 538, 519, 1482, 942, 607, 512, 1695, 1690, 9080, 269, 1452, 19001, 1331, 22221, 986, 330, 520, 281, 476, 279, 562, 2378, 331, 630, 275, 19001, 540, 476, 273, 986, 330, 520, 1142, 1070, 476, 273, 986, 330, 520, 695, 2378, 262, 11755, 543, 476, 272, 986, 330, 520, 18854, 337, 269, 31864, 337, 630, 288, 32106, 281, 476, 15906, 30234, 20254, 14507, 1396, 269, 1412, 11415, 10807, 616, 19001, 6035, 2901, 609, 519, 1772, 3873, 11755, 610, 609, 519, 512, 1695, 1690, 9080, 4882, 531, 1177, 520, 620, 2000, 599, 331, 269, 2368, 2015, 713, 11755, 25471, 630, 342, 1690, 756, 1070, 1247, 1866, 2015, 621, 24101, 699, 5766, 2218, 269, 1452, 616, 5340, 538, 9642, 2338, 540, 986, 330, 1846, 267, 609, 13581, 3604, 1063, 14834, 327, 4725, 338, 269, 634, 11755, 2356, 2882, 519, 844, 333, 19476, 339, 563, 763, 2262, 568, 339, 1731, 9618, 1695, 568, 6508, 689, 519, 3597, 18841, 372, 369, 3917, 8573, 630, 404, 362, 18716, 14507, 264, 834, 6202, 5630, 267, 22556, 267, 3903, 267, 5542, 2668, 6428, 520, 620, 16927, 560, 1731, 3873, 23022, 568, 513, 11755, 6035, 950, 513, 7332, 2115, 5583, 593, 513, 1880, 2339, 269, 1677, 2161, 713, 2892, 1695, 835, 1058, 7281, 1079, 986, 330, 1846, 540, 1875, 268, 984, 5554, 2218, 2892, 1695, 547, 12032, 269, 2991, 12032, 835, 1058, 7662, 2696, 602, 799, 593, 568, 1732, 269, 634, 9837, 585, 519, 2892, 1695, 1058, 581, 538, 835, 781, 2295, 547, 7281, 1079, 986, 330, 1846, 540, 2892, 1695, 4553, 676, 594, 560, 1731, 3873, 23022, 269, 634, 2892, 1695, 666, 581, 6035, 693, 1022, 540, 519, 2053, 1141, 2892, 1695, 568, 711, 24193, 269, 4033, 19001, 1331, 519, 512, 1695, 12011, 344, 520, 620, 2173, 553, 329, 573, 267, 799, 12356, 616, 9415, 547, 2709, 891, 1079, 986, 330, 520, 563, 15404, 32093, 3494, 602, 17124, 13736, 267, 6026, 267, 543, 22412, 730, 519, 10847, 9161, 538, 519, 2898, 2146, 540, 12356, 543, 1500, 621, 851, 540, 741, 1272, 269, 634, 2259, 814, 267, 4061, 267, 1044, 21276, 569, 543, 10419, 1302, 13736, 676, 519, 2146, 538, 1142, 540, 519, 5481, 269, 634, 6392, 585, 519, 2596, 3029, 540, 519, 2892, 1695, 568, 9444, 519, 1185, 603, 338, 6862, 519, 20845, 267, 855, 2864, 519, 13618, 540, 12356, 563, 1607, 568, 711, 22522, 609, 1776, 1249, 602, 12356, 723, 3254, 4763, 538, 741, 2259, 2094, 519, 9998, 2395, 540, 2259, 267, 865, 519, 2892, 1695, 13736, 676, 835, 7332, 949, 8428, 689, 1776, 781, 538, 5634, 3877, 269, 769, 930, 2665, 519, 16874, 603, 2303, 930, 540, 713, 4763, 540, 2259, 729, 1634, 540, 543, 9516, 676, 17124, 5128, 563, 7197, 3604, 8451, 1317, 540, 1114, 12496, 540, 519, 9099, 3656, 2959, 676, 519, 1114, 3506, 540, 1876, 630, 24703, 327, 4725, 338, 264, 538, 6129, 14269, 5771, 267, 543, 676, 1114, 3656, 5389, 1369, 1744, 807, 5771, 269, 769, 519, 2013, 540, 9161, 10847, 891, 3604, 616, 3622, 5634, 267, 543, 1058, 10355, 2014, 15539, 563, 13349, 3604, 267, 799, 949, 4268, 1063, 3506, 543, 4008, 267, 1331, 519, 2990, 540, 7953, 267, 3952, 267, 3946, 543, 11263, 267, 1141, 519, 4064, 1058, 1445, 267, 519, 5934, 2179, 540, 973, 2787, 267, 519, 4320, 540, 973, 2787, 630, 7596, 1043, 267, 3001, 540, 17534, 267, 610, 1175, 6947, 630, 299, 3716, 7281, 2075, 2787, 2877, 3910, 8125, 550, 11755, 3738, 1070, 543, 799, 540, 519, 9030, 2609, 540, 519, 11755, 616, 16832, 267, 8957, 5227, 610, 18593, 16804, 454, 288, 476, 1001, 276, 623, 1168, 3194, 4741, 1353, 1336, 602, 2021, 616, 476, 273, 260, 811, 2693, 982, 2367, 547, 7281, 593, 513, 3232, 4493, 563, 14611, 2376, 281, 6428, 1695, 620, 795, 4821, 262, 1695, 454, 303, 2001, 518, 538, 519, 30798, 630, 329, 4821, 262, 1695, 264, 568, 2808, 547, 723, 811, 1514, 543, 5289, 2640, 982, 32467, 676, 13951, 269, 1306, 829, 1185, 603, 5389, 267, 519, 8007, 540, 513, 11755, 538, 30798, 4679, 8938, 19317, 2053, 269, 589, 1185, 603, 3081, 281, 834, 763, 11755, 538, 30798, 568, 8938, 2947, 2053, 9120, 547, 519, 11755, 6035, 676, 1268, 4805, 1701, 630, 306, 1695, 8811, 645, 4157, 327, 926, 476, 5038, 277, 1916, 2691, 32467, 538, 30798, 267, 519, 1004, 1796, 538, 2786, 6252, 9343, 3297, 835, 1268, 945, 29377, 519, 11755, 267, 1572 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12605, 568, 602, 454, 333, 6334, 2810, 9891, 2234, 4800, 786, 1118, 3047, 454, 684, 514, 4725, 3386, 267, 1279, 1279, 1354, 519, 6129, 7140, 883, 513, 2699, 454, 326, 5050, 4700, 1677, 2285, 9370, 513, 23198, 5790, 267, 1134, 267, 19026, 454, 13757, 7899, 547, 22302, 630, 3445, 2053, 607, 1454, 11626, 454, 12304, 675, 607, 3047, 1916, 347, 8802, 8973, 14866, 514, 1314, 267, 594, 4312, 2760, 1558, 602, 1268, 602, 594, 454, 3104, 540, 269, 1656, 594, 4312, 2760, 1044, 9310, 267, 2901, 563, 347, 10498, 267, 594, 6415, 6126, 547, 7227, 1247, 24059, 15902, 619, 723, 513, 1093, 651, 1472, 269, 1809, 267, 952, 789, 2097, 909, 8900, 4429, 347, 2260, 3719, 1946, 711, 849, 946, 930, 540, 519, 5222, 547, 3500, 1524, 9370, 262, 10739, 543, 3142, 621, 6251, 547, 519, 3141, 286, 2260, 454, 347, 8170, 1576, 267, 519, 17715, 3364, 547, 798, 1131, 581, 547, 23396, 621, 609, 19026, 910, 1510, 14124, 267, 596, 917, 267, 602, 824, 4224, 602, 25057, 1063, 873, 269, 3973, 267, 547, 31619, 845, 19026, 267, 649, 9364, 723, 547, 6318, 922, 9063, 676, 10514, 8973, 621, 609, 1346, 744, 677, 13192, 3615, 1500, 6140, 540, 12853, 1166, 1389, 563, 347, 5591, 1100, 1100, 269, 2334, 1131, 1869, 4734, 596, 609, 1079, 454, 514, 935, 1597, 1304, 569, 11397, 9702, 5321, 269, 1284, 1058, 454, 347, 263, 272, 264, 2322, 835, 610, 1312, 540, 873, 883, 3047, 10739, 267, 693, 513, 454, 1372, 1417, 3845, 865, 602, 23864, 2360, 5749, 1405, 1932, 454, 347, 263, 321, 264, 10925, 873, 1312, 538, 3859, 25057, 2673, 547, 3618, 454, 5560, 527, 1729, 1657, 3823, 29500, 1070, 865, 602, 693, 2547, 649, 454, 4754, 5577, 2066, 3362, 2899, 1169, 1906, 25057, 950, 454, 628, 902, 1899, 909, 563, 347, 2260, 1496, 279, 628, 540, 476, 278, 316, 262, 338, 1151, 545, 3218, 814, 15695, 1864, 711, 547, 1491, 2055, 593, 875, 2608, 7474, 265, 5949, 267, 12262, 454, 347, 2791, 666, 2307, 782, 519, 2055, 596, 899, 267, 621, 781, 1175, 602, 649, 4312, 1044, 15695, 711, 547, 2626, 563, 347, 14303, 5766, 8565, 25057, 4992, 899, 8373, 910, 1322, 8565, 21611, 1063, 28835, 4703, 616, 9425, 16602, 267, 1317, 20550, 14795, 269, 594, 9364, 581, 8401, 827, 10962, 1427, 5766, 8565, 3615, 883, 519, 6418, 3859, 1606, 2448, 799, 27229, 568, 711, 1175, 513, 3032, 659, 569, 338, 6193, 20349, 540, 11849, 543, 3595, 4611, 538, 513, 2518, 5162, 585, 513, 8536, 1296, 267, 855, 811, 513, 19236, 11517, 5314, 2511, 2680, 267, 1058, 519, 9273, 2490, 856, 547, 3111, 547, 1491, 519, 11973, 1062, 883, 7156, 630, 1721, 1383, 1040, 623, 3183, 609, 1279, 16853, 1522, 581, 3617, 267, 855, 1018, 11250, 616, 649, 6158, 827, 609, 27164, 8686, 338, 3491, 3446, 3615, 286, 30474, 3728, 267, 594, 9364, 15549, 563, 347, 2260, 594, 9364, 581, 8401, 827, 30385, 316, 513, 19236, 11517, 5314, 2511, 2680, 12262, 454, 347, 3719, 267, 2094, 596, 2307, 267, 513, 2656, 5616, 2303, 519, 1931, 540, 476, 2004, 14790, 4882, 269, 2561, 30068, 267, 621, 781, 5949, 1354, 630, 5408, 3095, 1070, 543, 1934, 649, 1869, 616, 563, 347, 2791, 798, 8275, 267, 1496, 13630, 514, 1314, 3910, 602, 16764, 1630, 657, 519, 17552, 11456, 888, 347, 1103, 2230, 267, 1100, 14633, 666, 5873, 596, 1630, 334, 563, 347, 296, 993, 8348, 547, 2628, 513, 14167, 585, 4195, 10739, 1023, 563, 347, 2260, 9827, 267, 972, 781, 711, 1454, 5790, 910, 2115, 513, 2898, 2260, 454, 347, 25898, 713, 711, 6861, 519, 2866, 2666, 585, 26300, 15362, 2951, 286, 476, 272, 264, 1205, 547, 513, 1776, 1843, 630, 1492, 7599, 264, 476, 273, 264, 1491, 2614, 22742, 10591, 269, 630, 300, 1513, 264, 476, 274, 264, 5269, 2386, 707, 4342, 704, 568, 7347, 2614, 547, 1491, 519, 26797, 563, 347, 2521, 532, 547, 5352, 1648, 689, 519, 3017, 538, 8095, 454, 24992, 519, 17552, 11456, 268, 13702, 543, 922, 2404, 14361, 786, 454, 928, 947, 3320, 2569, 602, 3017, 538, 8095, 269, 769, 824, 1913, 2676, 1492, 14361, 786, 581, 838, 684, 909, 547, 519, 1482, 2557, 540, 8095, 607, 454, 1492, 4224, 267, 1354, 1454, 1648, 666, 581, 6383, 602, 1259, 563, 347, 2005, 781, 1044, 513, 1279, 942, 2094, 594, 5206, 713, 267, 855, 594, 1589, 594, 729, 454, 19960, 1456, 519, 14361, 607, 513, 588, 1807, 547, 519, 4224, 781, 23301, 269, 1403, 513, 454, 560, 1807, 10953, 930, 8095, 1472, 922, 1378, 7852, 630, 2254, 519, 23301, 781, 454, 9471, 1070, 1281, 602, 2061, 1379, 689, 1373, 6383, 676, 519, 454, 4944, 15619, 540, 519, 23301, 888, 24820, 11718, 568, 513, 1826, 540, 20347, 282, 513, 20347, 568, 513, 1826, 540, 804, 8553, 563, 5472, 804, 583, 2583, 2901, 1450, 610, 2061, 630, 528, 1945, 538, 454, 24992, 264, 519, 3448, 5163, 540, 1079, 2694, 269, 1358, 1416, 454, 333, 5847, 585, 519, 7104, 5163, 540, 1346, 1079, 2694, 3448, 454, 1729, 741, 10450, 630, 684, 1652, 519, 10450, 3100, 547, 581, 454, 821, 540, 519, 1079, 2694, 267, 799, 1175, 1797, 596, 2811, 3206, 827, 454, 1492, 3510, 27235, 267, 543, 991, 547, 1900, 1394, 835, 1377, 1916, 347, 2260, 928, 539, 547, 1900, 1394, 835, 1377, 2260, 454, 347, 2791, 3592, 3893, 803, 972, 267, 855, 1287, 594, 15422, 602, 952, 594, 22283, 454, 3724, 594, 9364, 2887, 1055, 519, 4224, 563, 347, 2710, 596, 1589, 513, 8038, 20253, 601, 6438, 1935, 1131, 581, 811, 9621, 454, 263, 810, 267, 711, 3843, 547, 4558, 519, 1648, 540, 519, 1764, 607, 5201, 693, 454, 718, 21663, 769, 602, 9183, 267, 519, 14361, 1131, 1599, 607, 519, 454, 12187, 20253, 601, 267, 1247, 519, 4224, 6836, 547, 1205, 3294, 22619, 958, 19526, 1586, 538, 454, 5503, 585, 519, 1985, 1764, 563, 347, 296, 1810, 1405, 917, 1018, 596, 1611, 972, 269, 1548, 781, 519, 4224, 3843, 547, 454, 1326, 22619, 958, 19526, 547, 888, 347, 5472, 1318, 267, 594, 4440, 1810, 1405, 2731, 1611, 22619, 958, 19526, 269, 594, 454, 1492, 4998, 1533, 540, 519, 4224, 1063, 5222, 1131, 454, 28717, 9876, 621, 2141, 9306, 5111, 519, 1482, 3068, 454, 339, 578, 1841, 519, 3141, 269, 2334, 949, 711, 581, 16832, 267, 855, 621, 454, 332, 1389, 519, 1964, 540, 519, 2219, 7721, 704, 2939, 4443, 563, 347, 3383, 267, 711, 19480, 1394, 607, 971, 267, 855, 19266, 537, 23293, 26101, 569, 454, 11034, 532, 1586, 689, 519, 1283, 267, 1018, 594, 2219, 729, 1945, 454, 347, 272, 269, 5994, 972, 781, 1100, 5624, 1222, 267, 855, 1152, 513, 9168, 4224, 454, 273, 269, 5994, 513, 4914, 1560, 16042, 693, 3432, 543, 454, 347, 3086, 267, 952, 713, 4914, 1560, 1185, 13351, 519, 4224, 2282, 519, 454, 1417, 516, 540, 2527, 267, 1287, 594, 1131, 2503, 519, 4224, 547, 581, 2901, 454, 338, 5733, 1117, 610, 19774, 25921, 269, 1717, 267, 1317, 519, 30218, 454, 1993, 519, 533, 833, 568, 3833, 6552, 689, 519, 4224, 781, 8998, 540, 2527, 2676, 30524, 2503, 1034, 540, 519, 1648, 540, 519, 1764, 547, 581, 454, 20041, 8095, 267, 711, 5276, 10231, 563, 347, 13425, 4812, 589, 281, 568, 602, 521, 2033, 865, 2484, 888, 347, 274, 269, 1403, 865, 267, 1287, 649, 723, 519, 4914, 1560, 18186, 4040, 2476, 454, 11898, 543, 267, 8259, 972, 781, 513, 16154, 267, 513, 512, 30257, 543, 513, 3280, 540, 454, 15479, 532, 689, 513, 7404, 13306, 267, 519, 4914, 1560, 814, 1631, 454, 1492, 9165, 540, 713, 2219, 4603, 269, 630, 12179, 3118, 267, 594, 1705, 24633, 454, 2254, 547, 6288, 972, 1916, 347, 275, 269, 3816, 8724, 538, 519, 9165, 540, 519, 575, 539, 1678, 523, 31756, 1421, 972, 568, 513, 454, 4944, 15619, 593, 922, 7852, 269, 5221, 621, 781, 18343, 267, 621, 814, 811, 454, 22474, 952, 621, 941, 538, 519, 1482, 10739, 267, 855, 711, 18343, 563, 347, 13425, 4812, 645, 281, 1869, 711, 13626, 532, 2943, 888, 347, 276, 269, 1403, 621, 8952, 18343, 899, 602, 267, 519, 8095, 568, 2469, 547, 1118, 621, 454, 1729, 27464, 269, 14755, 267, 621, 4465, 1405, 723, 1022, 1648, 547, 979, 9170, 454, 1729, 4268, 922, 10739, 264, 952, 782, 519, 1648, 3788, 538, 602, 1106, 269, 1924, 2676, 24859, 1250, 7916, 2182, 2614, 267, 6148, 972, 781, 513, 1259, 547, 4558, 454, 24479, 538, 513, 1114, 1106, 269, 3733, 1101, 2219, 729, 547, 4558, 621, 454, 19491, 3740, 1648, 538, 513, 6007, 563, 347, 277, 269, 3767, 267, 594, 2219, 519, 8912, 1259, 547, 2490, 8095, 883, 5122, 454, 13607, 1113, 729, 547, 1305, 909, 513, 588, 1807, 2282, 519, 23301, 543, 1118, 454, 1177, 25056, 1688, 5322, 630, 13195, 621, 2451, 1688, 610, 1318, 1688, 286, 994, 1740, 856, 1141, 547, 2322, 519, 23525, 540, 707, 6007, 267, 543, 454, 332, 20723, 5949, 269, 2334, 729, 1544, 589, 563, 347, 278, 269, 3204, 8973, 707, 3045, 334, 827, 519, 14361, 1373, 838, 684, 909, 454, 1492, 1482, 3432, 607, 519, 4224, 1354, 1648, 1223, 581, 454, 296, 6415, 711, 2386, 875, 547, 4605, 602, 563, 278, 18502, 9894, 596, 1611, 602, 513, 6292, 540, 3615, 267, 835, 18343, 454, 663, 519, 824, 1884, 545, 6674, 3772, 693, 519, 1482, 3432, 267, 1223, 454, 2041, 1031, 547, 5352, 1379, 630, 328, 4318, 1421, 513, 11718, 609, 1100, 454, 278, 12500, 9894, 596, 1611, 602, 519, 1079, 3615, 1927, 1131, 454, 4944, 514, 1472, 741, 5916, 8998, 540, 2527, 286, 594, 666, 1405, 1294, 454, 2169, 847, 1648, 689, 602, 1510, 930, 3791, 1843, 630, 663, 865, 454, 278, 6983, 9894, 596, 1611, 602, 519, 2898, 23301, 23995, 1807, 2203, 666, 1405, 454, 11898, 267, 1317, 972, 781, 4986, 547, 1832, 519, 588, 1807, 454, 278, 6155, 23985, 3116, 888, 347, 279, 269, 4675, 3151, 596, 1522, 1611, 1945, 899, 476, 278, 6983, 267, 594, 6083, 730, 454, 289, 267, 3379, 547, 799, 1544, 589, 949, 1413, 899, 513, 14952, 540, 454, 1150, 2288, 339, 269, 634, 9759, 540, 1544, 645, 568, 602, 519, 8095, 1223, 454, 16341, 6011, 581, 11843, 689, 519, 4224, 547, 519, 14361, 2676, 1492, 10066, 540, 519, 4224, 2509, 519, 3141, 2968, 7123, 2676, 16341, 6343, 899, 10066, 540, 513, 22619, 958, 19526, 1843, 563, 347, 8802, 21884, 2406, 267, 594, 723, 711, 4547, 1022, 11214, 267, 855, 594, 1131, 454, 1952, 3285, 622, 707, 6644, 827, 2436, 267, 538, 6240, 2676, 11898, 568, 811, 4652, 29342, 1043, 267, 1447, 4652, 29342, 1043, 610, 827, 607, 454, 514, 6476, 609, 23301, 3613, 1807, 268, 11718, 2987, 1606, 10628, 563, 347, 17764, 15210, 269, 2549, 594, 2469, 547, 723, 547, 6287, 602, 3045, 334, 782, 519, 1259, 1394, 547, 454, 1492, 6418, 3859, 1062, 547, 1205, 513, 3210, 547, 621, 888, 347, 2260, 6744, 4812, 589, 281, 568, 602, 521, 2033, 865, 2484, 286, 12262, 454, 347, 296, 1589, 865, 269, 634, 4224, 609, 519, 533, 833, 786, 581, 1305, 18343, 267, 543, 602, 786, 2272, 585, 1034, 540, 519, 1648, 11843, 538, 519, 454, 322, 3326, 1707, 269, 898, 786, 849, 723, 922, 18330, 4957, 5594, 267, 607, 786, 519, 824, 4224, 267, 799, 786, 849, 581, 1305, 18343, 267, 855, 454, 2254, 607, 3728, 563, 347, 2260, 6744, 4812, 645, 281, 1869, 711, 13626, 532, 2943, 286, 12262, 454, 347, 296, 1589, 865, 269, 898, 814, 811, 1648, 1813, 547, 18343, 982, 952, 621, 729, 538, 519, 1482, 10739, 1510, 18343, 267, 855, 1832, 538, 2247, 602, 454, 7474, 781, 711, 519, 1482, 10739, 607, 621, 3323, 538, 282, 602, 3312, 10739, 1223, 723, 1185, 811, 1648, 538, 2698, 563, 278, 323, 281, 3502, 602, 594, 4312, 2219, 540, 2943, 563, 347, 23945, 645, 281, 7937, 267, 594, 1294, 269, 1411, 723, 519, 4224, 18343, 267, 543, 946, 602, 547, 8095, 909, 519, 14361, 269, 3973, 912, 347, 320, 269, 1411, 666, 3500, 1524, 543, 3247, 519, 4224, 1210, 5007, 4229, 630, 2775, 2604, 689, 7943, 610, 1945, 16673, 2041, 519, 454, 312, 3036, 303, 1198, 286, 1040, 3767, 596, 723, 519, 14361, 18343, 267, 543, 666, 5352, 1379, 676, 23646, 621, 1524, 3448, 547, 519, 454, 852, 13463, 671, 3613, 566, 776, 4224, 269, 630, 3719, 596, 666, 1405, 798, 621, 865, 3728, 602, 596, 9364, 2736, 519, 3180, 540, 8726, 781, 8066, 519, 4224, 454, 23667, 776, 4700, 2334, 1058, 960, 267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 24431, 2096, 13240, 5385, 5872, 602, 666, 1291, 547, 519, 5250, 540, 669, 12637, 6419, 3889, 267, 971, 607, 6419, 6607, 3944, 687, 269, 898, 568, 2016, 676, 3230, 292, 3709, 323, 14741, 348, 815, 667, 9852, 1422, 10383, 22570, 10109, 5055, 1422, 9392, 544, 4297, 18079, 1141, 3230, 291, 2330, 568, 519, 667, 11085, 3586, 780, 2162, 17553, 5455, 519, 29896, 692, 3086, 602, 649, 723, 12649, 519, 1883, 2035, 267, 1577, 781, 1847, 593, 547, 519, 3009, 269, 634, 1101, 1900, 538, 4259, 909, 513, 8020, 11424, 11191, 568, 547, 5581, 519, 9511, 540, 519, 1062, 269, 769, 713, 1383, 267, 649, 786, 18082, 513, 476, 274, 291, 1062, 609, 7516, 3230, 299, 13448, 1422, 9392, 700, 14729, 1422, 9392, 700, 318, 345, 2330, 1384, 3499, 7090, 454, 5814, 535, 573, 19960, 454, 5814, 11885, 607, 5286, 692, 299, 343, 815, 476, 1911, 324, 268, 280, 476, 1948, 20099, 538, 1535, 1673, 3925, 630, 332, 994, 299, 344, 815, 476, 1911, 324, 268, 280, 476, 1948, 20099, 538, 586, 1673, 3925, 630, 332, 994, 299, 345, 815, 476, 1911, 324, 268, 280, 476, 1948, 20099, 538, 1990, 1673, 3925, 630, 332, 2020, 6996, 327, 815, 535, 573, 19960, 2593, 3000, 5861, 889, 1355, 300, 21983, 18692, 825, 562, 343, 25507, 27331, 343, 1315, 476, 276, 324, 268, 280, 1070, 562, 344, 25507, 27331, 344, 1315, 476, 276, 324, 268, 280, 1070, 562, 345, 25507, 27331, 345, 1315, 476, 276, 324, 268, 280, 13211, 825, 15848, 284, 276, 324, 268, 280, 267, 10085, 284, 276, 324, 268, 280, 267, 546, 345, 284, 276, 324, 268, 280, 2676, 825, 1535, 271, 15871, 299, 343, 270, 273, 267, 586, 271, 15871, 299, 344, 270, 273, 267, 1990, 271, 15871, 299, 345, 270, 273, 2676, 825, 1770, 28747, 284, 272, 324, 268, 280, 2020, 13678, 815, 535, 573, 19960, 6230, 2222, 2529, 574, 263, 6996, 327, 994, 7884, 2080, 267, 649, 5581, 519, 7516, 540, 519, 1062, 538, 7397, 543, 1287, 1711, 513, 2387, 290, 889, 1355, 300, 21983, 319, 1843, 547, 2099, 519, 9511, 269, 634, 2387, 290, 889, 1355, 300, 21983, 319, 1843, 3217, 1896, 7440, 267, 1519, 519, 1297, 540, 2281, 538, 1142, 4287, 630, 319, 333, 343, 12452, 2387, 5500, 12452, 2387, 333, 345, 319, 1070, 519, 1591, 2450, 630, 319, 11459, 12452, 2387, 11276, 12452, 2387, 323, 345, 319, 1070, 543, 519, 5169, 540, 519, 17450, 630, 319, 343, 271, 12452, 2387, 344, 271, 12452, 2387, 345, 271, 319, 1040, 634, 2387, 22780, 28747, 319, 4661, 23403, 519, 1770, 540, 3259, 1031, 538, 519, 11191, 780, 9202, 267, 649, 5581, 519, 1570, 6724, 585, 938, 1062, 1384, 3499, 7090, 454, 16039, 815, 476, 272, 269, 272, 324, 277, 476, 1948, 590, 4405, 566, 11275, 1436, 630, 288, 8276, 994, 288, 815, 476, 273, 324, 268, 1321, 476, 1948, 16510, 20765, 3586, 630, 297, 8276, 994, 291, 815, 476, 274, 269, 280, 324, 268, 274, 476, 1948, 667, 11085, 3586, 630, 297, 8276, 317, 273, 994, 298, 340, 815, 476, 273, 269, 276, 324, 277, 476, 1948, 1323, 529, 582, 16552, 3586, 630, 297, 8276, 317, 274, 994, 289, 345, 815, 476, 272, 269, 476, 1948, 24498, 6419, 2361, 538, 1990, 1673, 3925, 630, 307, 2020, 13678, 15630, 318, 16039, 263, 16039, 994, 13678, 14491, 6600, 573, 19960, 6230, 2222, 269, 4462, 6134, 2750, 4219, 10490, 4917, 13678, 14491, 6600, 573, 19960, 6230, 2222, 269, 4462, 807, 343, 658, 2304, 529, 582, 16552, 263, 298, 340, 267, 7852, 14352, 271, 267, 476, 271, 267, 476, 272, 21875, 13678, 14491, 6600, 573, 19960, 6230, 2222, 269, 313, 9851, 534, 9230, 271, 267, 476, 271, 267, 645, 345, 1315, 595, 6230, 340, 318, 271, 21875, 7884, 2080, 267, 649, 5581, 519, 25294, 11275, 1436, 267, 5385, 20765, 3586, 267, 667, 11085, 3586, 267, 606, 529, 582, 16552, 3586, 267, 543, 5007, 6419, 2361, 585, 938, 1062, 269, 1284, 1287, 946, 519, 2387, 3553, 318, 16039, 319, 1505, 547, 1305, 519, 25294, 11275, 1436, 543, 1039, 519, 5385, 267, 606, 529, 582, 16552, 267, 543, 2098, 9851, 534, 19367, 547, 519, 11191, 1210, 519, 2387, 5417, 319, 1505, 780, 2162, 17006, 667, 11085, 692, 1103, 713, 1383, 267, 649, 786, 1039, 667, 11085, 547, 938, 1062, 1210, 519, 2387, 291, 11085, 319, 1362, 269, 634, 2387, 291, 11085, 319, 1362, 3217, 1079, 7440, 281, 519, 667, 11085, 3586, 543, 519, 1826, 540, 667, 11085, 269, 769, 713, 2013, 267, 649, 786, 946, 519, 2387, 290, 5332, 319, 1826, 540, 667, 11085, 267, 799, 568, 3617, 585, 2326, 609, 595, 5332, 15340, 1384, 3499, 7090, 454, 258, 1280, 513, 595, 5332, 1570, 267, 972, 568, 513, 2186, 540, 16132, 950, 835, 540, 519, 20336, 454, 258, 21635, 568, 3677, 982, 4114, 476, 271, 269, 278, 2053, 519, 824, 20336, 3586, 454, 13678, 14491, 6600, 573, 19960, 6230, 2222, 6185, 11085, 8443, 291, 267, 476, 271, 269, 277, 2608, 667, 3910, 546, 14741, 25292, 8782, 290, 5332, 29125, 7884, 2080, 267, 649, 1039, 667, 11085, 547, 519, 11191, 1210, 519, 2387, 291, 11085, 319, 1362, 543, 14574, 519, 667, 11085, 3586, 543, 1826, 269, 8074, 602, 585, 513, 595, 5332, 1570, 267, 972, 568, 513, 2186, 540, 16132, 950, 835, 540, 519, 667, 11085, 21635, 568, 3677, 982, 5111, 476, 271, 269, 278, 2053, 519, 824, 667, 11085, 3586, 780, 2162, 17553, 519, 19461, 13804, 564, 1436, 543, 4039, 1314, 532, 519, 3590, 692, 9202, 267, 649, 1305, 519, 3355, 11275, 1436, 543, 6001, 519, 1062, 1384, 3499, 7090, 454, 8181, 8548, 815, 5286, 269, 2158, 9230, 6996, 327, 8542, 267, 476, 274, 4917, 13678, 15630, 8548, 263, 8181, 8548, 2020, 13678, 6155, 18182, 269, 4777, 318, 2181, 20896, 815, 8771, 454, 13678, 6155, 18182, 269, 10401, 815, 476, 271, 269, 280, 692, 13678, 269, 7758, 1314, 4590, 7884, 2080, 267, 649, 1305, 519, 3355, 11275, 1436, 547, 581, 25144, 13988, 538, 519, 2318, 1990, 1673, 3925, 1210, 519, 2387, 3553, 8548, 319, 1505, 269, 1284, 1287, 1305, 519, 2387, 4777, 318, 2181, 20896, 319, 14487, 540, 519, 2387, 323, 18182, 319, 1843, 547, 2387, 16178, 319, 547, 771, 762, 840, 20896, 543, 1305, 519, 14927, 532, 9936, 2387, 10401, 319, 547, 476, 271, 269, 280, 269, 7053, 267, 649, 6001, 519, 1062, 1210, 519, 2387, 7758, 1314, 319, 1505, 780, 2162, 10439, 1944, 519, 11778, 692, 5629, 519, 1062, 814, 17159, 267, 649, 666, 14650, 519, 2164, 1210, 32287, 1384, 3499, 7090, 454, 5814, 21267, 28272, 607, 12301, 692, 332, 815, 1138, 4732, 11017, 269, 31412, 8987, 272, 267, 476, 274, 994, 10823, 8807, 2682, 6600, 12127, 1125, 14352, 279, 267, 476, 279, 4917, 10823, 269, 638, 1853, 263, 6996, 327, 16691, 24002, 18020, 476, 271, 3910, 17450, 16691, 24002, 18020, 476, 272, 16689, 19930, 544, 18020, 476, 271, 3910, 544, 18020, 476, 272, 16689, 19930, 544, 18020, 476, 273, 3910, 4699, 777, 8782, 305, 323, 312, 331, 31807, 7055, 19930, 12467, 10823, 20481, 4590, 7884, 2080, 267, 649, 18534, 1901, 519, 11275, 1436, 5044, 2387, 13678, 4732, 11017, 319, 547, 723, 3337, 2387, 8987, 272, 267, 476, 274, 264, 12452, 1141, 519, 1101, 10155, 568, 519, 1297, 540, 2281, 543, 519, 2034, 10155, 568, 519, 1297, 540, 3334, 540, 519, 11275, 1436, 6152, 269, 1284, 1287, 946, 519, 2387, 638, 1853, 319, 1599, 689, 32287, 547, 14650, 519, 11275, 1436, 10321, 607, 818, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 4449, 1535, 271, 15871, 299, 343, 270, 273, 267, 586, 271, 15871, 299, 344, 270, 273, 267, 1990, 271, 15871, 299, 345, 270, 273, 2676, 4449, 476, 1770, 28747, 284, 272, 324, 268, 280, 2020, 13678, 815, 3244, 263, 6996, 327, 2020, 16039, 815, 476, 272, 269, 272, 324, 277, 454, 288, 815, 476, 273, 324, 268, 1321, 454, 291, 815, 476, 274, 269, 280, 324, 268, 274, 454, 298, 340, 815, 476, 273, 269, 276, 324, 277, 454, 289, 345, 815, 476, 272, 780, 13678, 15630, 318, 16039, 263, 16039, 994, 13678, 14491, 6600, 573, 19960, 6230, 2222, 269, 4462, 6134, 2750, 4219, 10490, 4917, 13678, 14491, 6600, 573, 19960, 6230, 2222, 269, 4462, 807, 343, 658, 2304, 529, 582, 16552, 263, 298, 340, 267, 7852, 14352, 271, 267, 476, 271, 267, 476, 272, 21875, 13678, 14491, 6600, 573, 19960, 6230, 2222, 269, 313, 9851, 534, 9230, 271, 267, 476, 271, 267, 645, 345, 1315, 595, 6230, 340, 318, 271, 4297, 2020, 258, 1138, 14491, 6600, 573, 19960, 6230, 2222, 6185, 11085, 20573, 267, 546, 14741, 25292, 8782, 5793, 325, 18432, 10807, 2020, 258, 1280, 513, 595, 5332, 1570, 267, 972, 568, 513, 2186, 540, 16132, 950, 835, 540, 519, 20336, 454, 258, 21635, 568, 3677, 982, 4114, 476, 271, 269, 278, 2053, 519, 824, 20336, 3586, 454, 13678, 14491, 6600, 573, 19960, 6230, 2222, 6185, 11085, 8443, 291, 267, 476, 271, 269, 277, 2608, 667, 3910, 546, 14741, 25292, 8782, 290, 5332, 10807, 2020, 13678, 15630, 8548, 263, 8181, 8548, 2020, 13678, 6155, 18182, 269, 4777, 318, 2181, 20896, 815, 8771, 454, 13678, 6155, 18182, 269, 10401, 815, 476, 271, 269, 280, 692, 13678, 269, 7758, 1314, 10797, 258, 476, 5785, 14343, 955, 454, 258, 18140, 519, 476, 273, 291, 1062, 692, 5814, 21267, 28272, 607, 12301, 692, 332, 815, 1138, 4732, 11017, 269, 31412, 8987, 272, 267, 476, 274, 994, 10823, 8807, 2682, 6600, 12127, 1125, 14352, 279, 267, 476, 279, 4917, 10823, 269, 638, 1853, 263, 6996, 327, 16691, 24002, 18020, 476, 271, 3910, 17450, 16691, 24002, 18020, 476, 272, 16689, 19930, 544, 18020, 476, 271, 3910, 544, 18020, 476, 272, 16689, 19930, 544, 18020, 476, 273, 3910, 4699, 777, 8782, 305, 323, 312, 331, 31807, 7055, 19930, 12467, 10823, 20481, 4590, 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, 476, 277, 281, 634, 8427, 10791, 12697, 585, 15867, 18255, 781, 8376, 692, 7072, 692, 290, 549, 18255, 781, 2068, 568, 513, 5312, 12982, 15108, 2068, 630, 296, 9720, 264, 602, 666, 1860, 1022, 851, 540, 519, 16063, 8778, 267, 3056, 547, 2589, 971, 607, 14159, 1928, 267, 13165, 267, 9854, 267, 2597, 2530, 267, 543, 22926, 269, 2755, 972, 568, 1100, 10826, 585, 15867, 18255, 781, 2068, 267, 3617, 2359, 998, 6527, 267, 6391, 267, 543, 6197, 12381, 666, 948, 13468, 922, 2589, 543, 2087, 2550, 262, 2298, 540, 1272, 269, 2290, 2565, 2460, 540, 5883, 15867, 18255, 781, 2068, 568, 1739, 513, 3358, 9354, 2732, 1544, 2966, 547, 2743, 519, 1367, 3461, 781, 2189, 9422, 2115, 1247, 5466, 741, 1808, 1072, 4145, 269, 901, 3184, 12538, 883, 519, 1909, 540, 9354, 2732, 4566, 538, 5883, 15867, 18255, 781, 2068, 267, 7234, 1585, 3344, 540, 891, 7463, 6484, 1036, 6036, 543, 3246, 4052, 5796, 585, 7598, 873, 3927, 780, 4089, 476, 272, 281, 4197, 634, 8427, 10791, 12697, 585, 15867, 18255, 781, 8376, 692, 763, 8427, 2732, 4566, 585, 15867, 18255, 781, 2068, 2832, 547, 2569, 15499, 6553, 267, 3895, 8937, 7067, 267, 2061, 8770, 19518, 267, 4383, 2068, 2534, 267, 543, 3986, 2949, 8171, 269, 11153, 8192, 4485, 723, 1044, 6069, 585, 15867, 18255, 781, 2068, 267, 1519, 12600, 1303, 1968, 6484, 630, 292, 2894, 1070, 3693, 531, 2732, 267, 10859, 3887, 2211, 531, 2732, 267, 4874, 1337, 2732, 267, 1970, 21225, 2732, 267, 1808, 19346, 2732, 630, 306, 7374, 1070, 543, 4550, 13611, 11326, 899, 519, 11335, 2732, 269, 3962, 1935, 814, 3982 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1103, 6128, 267, 19706, 3069, 9388, 609, 8942, 547, 1174, 12427, 267, 11708, 543, 3846, 673, 1949, 676, 1797, 540, 519, 8552, 540, 27744, 2404, 609, 519, 1062, 269, 634, 8106, 1806, 540, 26034, 616, 519, 19089, 12331, 540, 513, 30413, 5569, 610, 519, 8552, 540, 513, 7250, 11046, 563, 303, 1137, 538, 7121, 834, 306, 1051, 1537, 3069, 4840, 763, 1739, 476, 4343, 3817, 616, 538, 713, 7121, 267, 856, 540, 476, 4343, 2698, 269, 901, 1592, 949, 711, 2992, 2487, 2242, 630, 16753, 811, 1916, 268, 5576, 584, 1700, 295, 1941, 11532, 454, 268, 17286, 6199, 1990, 9508, 1599, 454, 268, 15190, 1537, 2612, 322, 20811, 454, 268, 15190, 1537, 12623, 11496, 454, 268, 15190, 1537, 7934, 454, 268, 15190, 1537, 9511, 454, 268, 15190, 1537, 8953, 454, 268, 15190, 1537, 3069, 540, 11741, 12427, 454, 268, 15190, 1537, 3069, 540, 8723, 11186, 4834, 454, 268, 25400, 630, 10818, 531, 2079, 994, 268, 25400, 540, 513, 595, 265, 268, 531, 5040, 454, 268, 853, 584, 332, 1700, 30537, 537, 6807, 3069, 454, 268, 8111, 17641, 19406, 0, 7069, 3122, 1190, 30576, 333, 747, 12377, 814, 2387, 2102, 9334, 5048, 319, 454, 26780, 281, 634, 1158, 26141, 1034, 12357, 10120, 12377, 30576, 333, 747, 26141, 5048, 267, 799, 814, 7138, 1194, 6939, 20802, 267, 22697, 543, 8059, 1235, 585, 936, 513, 2540, 267, 1223, 3180, 513, 9758, 5048, 267, 513, 1007, 1353, 814, 10645, 563, 11321, 4897, 334, 8053, 655, 584, 549, 267, 513, 7811, 21997, 689, 519, 2160, 540, 25480, 267, 5177, 267, 945, 6170, 1082, 1296, 30228, 922, 10409, 3270, 543, 1767, 602, 646, 11099, 602, 6209, 1913, 1223, 581, 972, 1369, 519, 1257, 563, 300, 2632, 655, 584, 549, 5143, 18917, 5240, 602, 519, 1257, 568, 2189, 543, 568, 711, 2653, 547, 14962, 621, 607, 2241, 20060, 839, 673, 575, 756, 828, 880, 267, 607, 621, 10268, 513, 1713, 10409, 2497, 563, 300, 2632, 655, 584, 549, 543, 1010, 26393, 1031, 513, 2780, 2213, 8579, 1505, 547, 4983, 519, 1257, 543, 5059, 593, 875, 1913, 941, 11231, 538, 1931, 547, 1265, 6209, 1543, 24481, 1913, 563, 3891, 1767, 602, 972, 568, 8101, 6169, 602, 1543, 24481, 1913, 4043, 547, 2049, 538, 513, 7265, 1229, 4806, 267, 1141, 789, 616, 2838, 607, 851, 540, 519, 1808, 9623, 1373, 2854, 267, 7682, 532, 602, 936, 1279, 5931, 267, 1913, 4043, 547, 4734, 513, 8579, 15040, 827, 741, 946, 563, 300, 2632, 655, 584, 549, 1767, 602, 519, 23066, 5121, 602, 789, 5833, 4951, 602, 1644, 1913, 2671, 2497, 10486, 267, 799, 4523, 547, 513, 1978, 6708, 538, 1483, 4654, 563, 3891, 11099, 621, 568, 12691, 602, 891, 2934, 941, 3274, 834, 4532, 2734, 730, 257, 883, 519, 1257, 547, 1118, 513, 11876, 1314, 811, 10853, 267, 607, 1034, 540, 519, 2838, 4081, 1702, 540, 891, 3889, 1705, 711, 2291, 693, 519, 942, 519, 30576, 333, 747, 12377, 729, 2813, 563, 15987, 646, 814, 1336, 513, 4806, 267, 1018, 519, 1913, 1611, 3788, 513, 9814, 269, 634, 1360, 1249, 602, 513, 2540, 540, 13085, 8186, 723, 21845, 519, 960, 609, 2370, 3356, 1797, 930, 3494, 513, 11876, 1314, 568, 519, 1152, 2693, 7778, 563, 763, 12377, 814, 1044, 18584, 547, 519, 2038, 476, 9610, 271, 338, 267, 855, 20374, 689, 1857, 2594, 2394, 476, 4489, 273, 2394, 606, 25447, 1433, 31066, 267, 12070, 325, 5090, 30576, 333, 747, 267, 11751, 621, 609, 513, 1297, 540, 2034, 11804, 2835, 538, 7977, 563, 763, 4681, 723, 1044, 3370, 538, 519, 4760, 1773, 657, 2290, 563, 5415, 689, 3127, 454, 5415, 689, 2622, 454, 5415, 689, 11846, 454, 5415, 689, 9373, 339, 2727, 550, 454, 268, 594, 28425, 21001, 613, 25142, 7077, 3338, 593, 26232, 10044, 18124, 3118, 2336, 268, 1412, 300, 12000, 328, 262, 896, 9431, 31554, 585, 4430, 2179, 540, 1291, 267, 9049, 294, 454, 268, 13772, 281, 18466, 548, 15525, 781, 1412, 294, 574, 1889, 12866, 262, 8516, 3381, 454, 268, 1879, 4427, 1090, 534, 1014, 4210, 18081, 28280, 1004, 693, 513, 16806, 2336, 268, 631, 3518, 320, 1731, 1513, 6443, 3946, 547, 4688, 9031, 328, 7141, 609, 4686, 4576, 454, 268, 29180, 281, 27339, 13143, 2754, 3954, 625, 2816, 547, 7332, 6107, 454, 268, 6751, 3525, 328, 14753, 693, 13642, 808, 889, 850, 324, 16873, 540, 10564, 667, 1074, 541, 779, 1568, 454, 268, 589, 777, 651, 23063, 732, 281, 8330, 549, 12605, 585, 2904, 476, 2641, 267, 476, 1001, 276, 454, 268, 21001, 613, 476, 1220, 271, 25142, 15191, 13941, 729, 851, 540, 12588, 17431, 281, 594, 28425, 454, 268, 5027, 281, 594, 28425, 21001, 613, 476, 1220, 271, 25142, 7077, 3338, 6707, 593, 26232, 10044, 2769, 3118, 454, 268, 5027, 281, 14642, 4821, 6054, 1397, 1412, 24465, 7015, 538, 8496, 514, 1695, 262, 1710, 2331, 620, 1627, 320, 20364, 454, 268, 15021, 1085, 600, 281, 715, 1511, 523, 808, 785, 531, 267, 8496, 16852, 918, 18649, 543, 1866, 1205, 32548, 454, 268, 966, 611, 617, 4673, 281, 22094, 18779, 2938, 15472, 609, 3046, 6690, 454, 268, 2290, 1032, 540, 3525, 328, 979, 26404, 281, 1488, 684, 26566, 1856, 344, 9607, 2046, 10554, 454, 268, 4959, 3041, 4291, 2373, 26219, 25142, 1210, 4550, 2389, 1678, 15177, 7438, 7815, 454, 268, 23048, 4147, 476, 1015, 11778, 476, 1001, 276, 547, 581, 9307, 2221, 888, 268, 594, 28425, 15191, 3338, 593, 26232, 10044, 2769, 3118, 454, 268, 6744, 808, 327, 1046, 8518, 8274, 795, 659, 269, 5371, 23357, 281, 4147, 476, 1321, 628, 3203, 11778, 476, 1001, 276, 10294, 454, 268, 674, 1177, 611, 16679, 3085, 1406, 1616, 15982, 10207, 609, 12312, 600, 29518, 3233, 888, 268, 8298, 593, 547, 513, 701, 600, 322, 564, 3820, 6673, 661, 4456, 4753, 307, 11778, 476, 1001, 276, 281, 1656, 31137, 21423, 661, 4456, 4753, 307, 29485, 543, 6673, 661, 4456, 4753, 307, 681, 3471, 476, 1001, 276, 10294, 454, 268, 1284, 16926, 1152, 1875, 5336, 639, 3916, 10457, 267, 14776, 13143, 6109, 6645, 7332, 6107, 454, 268, 1772, 9049, 294, 538, 1412, 300, 12000, 328, 262, 30653, 5739, 585, 596, 888, 268, 29180, 6109, 1433, 539, 585, 27102, 7332, 32233, 10927, 2816, 593, 3909, 12406, 267, 16785, 10288, 454, 268, 1715, 7379, 299, 3652, 1223, 1294, 16441, 333, 2967, 8111, 18301, 6336, 9049, 20144, 18223, 454, 268, 20289, 531, 531, 603, 12711, 2306, 1857, 5920, 267, 10742, 17135, 281, 1306, 621, 5949, 454, 268, 2387, 303, 30884, 319, 16125, 13544, 13607, 267, 1281, 12652, 476, 1911, 5186, 516, 1870, 5001, 454, 268, 1323, 3120, 326, 918, 553, 1506, 777, 547, 19915, 1434, 25742, 547, 3127, 267, 7017, 538, 1412, 11142, 9047, 7888, 262, 5333, 2336, 268, 9399, 9448, 630, 339, 333, 29798, 269, 5371, 23357, 264, 570, 5460, 476, 1015, 628, 11778, 476, 1001, 276, 281, 20474, 24385, 340, 8274, 4147, 476, 1015, 628, 2473, 14451, 18520, 981, 2164, 476, 1001, 276, 547, 581, 9307, 16172, 454, 268, 7379, 299, 476, 1001, 276, 267, 19120, 8595, 476, 273, 267, 16441, 333, 2967, 8111, 18301, 5288, 9576, 5668, 12310, 10854, 531, 648, 281, 2776, 1613, 454, 268, 2983, 601, 8643, 781, 1780, 1636, 3498, 18106, 267, 3112, 581, 9268, 281, 631, 12788, 0, 268, 12870, 543, 13262, 269, 14465, 11446, 948, 4339, 4965, 269, 1358, 723, 513, 2603, 540, 2119, 696, 2684, 534, 1107, 519, 6219, 602, 568, 519, 4493, 540, 22515, 1107, 519, 9449, 540, 8788, 269, 4475, 267, 4189, 513, 19337, 666, 3362, 2087, 707, 7099, 563, 268, 30665, 269, 14465, 11446, 568, 519, 1152, 4829, 602, 1281, 711, 2285, 1022, 13027, 5114, 267, 1256, 547, 12256, 563, 268, 16237, 28517, 540, 7633, 269, 14465, 11446, 11677, 7513, 538, 519, 1480, 1560, 267, 621, 1281, 711, 2408, 538, 519, 10729, 267, 855, 3788, 538, 519, 1560, 543, 568, 1031, 547, 7794, 7633, 269, 901, 568, 2523, 1271, 585, 6995, 18798, 267, 602, 267, 593, 14669, 267, 23352, 519, 7513, 689, 519, 1560, 563, 268, 26094, 540, 519, 15499, 29370, 3271, 320, 269, 8729, 547, 519, 11476, 267, 799, 616, 1459, 538, 20397, 267, 519, 4333, 633, 6878, 602, 4283, 519, 1560, 609, 519, 1292, 7594, 616, 12842, 1454, 5488, 563, 268, 4790, 11692, 543, 4144, 1551, 9996, 269, 14465, 11446, 616, 1360, 3730, 585, 1346, 945, 7985, 689, 19228, 269, 8617, 4616, 540, 20397, 666, 4368, 713, 1966, 269, 898, 568, 849, 15695, 547, 3548, 20397, 585, 1346, 945, 7985, 689, 13165, 563, 268, 14465, 11446, 948, 547, 1205, 7759, 540, 971, 2042, 607, 29463, 563, 268, 853, 6729, 22377, 269, 14465, 11446, 950, 1031, 17158, 519, 7181, 3774, 543, 7551, 2149, 621, 689, 519, 3679, 543, 10728, 6878, 538, 3536, 267, 543, 621, 8992, 519, 7067, 540, 23441, 22377, 563, 268, 634, 1164, 1543, 540, 11379, 538, 519, 19337, 17870, 17990, 689, 1850, 25574, 1282, 2866, 563, 268, 3798, 9047, 269, 10965, 22326, 593, 20397, 3648, 6971, 11926, 538, 1346, 945, 7985, 689, 621, 563, 268, 11905, 540, 1648, 269, 1403, 596, 3548, 513, 19337, 1354, 513, 15904, 267, 621, 786, 581, 2009, 547, 4497, 811, 3927, 1107, 4006, 1377, 786, 711, 4473, 1360, 3533, 543, 596, 786, 723, 2614, 1648, 547, 1439, 519, 15904, 1184, 563, 268, 1323, 8598, 269, 634, 1164, 1543, 540, 4401, 538, 519, 17870, 540, 19337, 2306, 621, 513, 2556, 1426, 585, 17350, 563, 268, 9839, 2068, 269, 8000, 9914, 538, 20397, 2337, 547, 2087, 519, 2783, 540, 1973, 8043, 267, 6971, 519, 1981, 540, 2295, 4323, 543, 8482, 267, 13000, 13119, 563, 268, 16332, 640, 269, 634, 5888, 540, 20397, 2882, 14434, 543, 11254, 7408, 267, 543, 789, 616, 1634, 547, 2149, 519, 1560, 543, 2087, 4761, 1062, 563, 268, 17718, 7958, 269, 14465, 11446, 616, 2111, 547, 9797, 3310, 519, 960, 540, 519, 14401, 269, 4706, 5567, 267, 10250, 2609, 543, 8324, 2087, 713, 1418, 779, 2783, 543, 621, 849, 2337, 538, 14874, 8459, 5070, 543, 10007, 563, 268, 715, 13835, 269, 14465, 11446, 616, 513, 1390, 1907, 585, 3478, 7759, 540, 15353, 593, 519, 4155, 610, 6757, 2670, 538, 9176, 2021, 563, 268, 898, 4221, 689, 5521, 17486, 269, 4787, 1231, 540, 20397, 568, 1360, 1434, 16185, 585, 5521, 17486, 1107, 1175, 8936, 519, 3330, 540, 519, 19337, 22019, 547, 519, 3135, 540, 519, 11116, 585, 513, 1906, 3764, 563, 268, 2372, 527, 25003, 269, 769, 519, 1974, 540, 15639, 689, 15522, 8213, 621, 568, 4363, 547, 3548, 20397, 1107, 513, 1804, 1297, 540, 8324, 267, 11379, 267, 13101, 2337, 547, 3142, 519, 3788, 540, 15522, 689, 519, 1560, 543, 4188, 547, 513, 1007, 1272, 267, 1510, 13189, 563, 268, 25947, 519, 2790, 31399, 625, 269, 634, 1164, 1543, 540, 11379, 538, 20397, 2306, 513, 1268, 32615, 547, 1007, 1344, 563, 268, 11588, 585, 2021, 269, 5395, 20561, 267, 543, 824, 5567, 602, 616, 538, 20397, 267, 14867, 2589, 540, 623, 5960, 269, 1403, 596, 3548, 513, 19337, 1282, 519, 1974, 267, 596, 666, 1205, 7759, 540, 513, 3983, 7099, 543, 18473, 2589, 563, 14818, 16238, 543, 5463, 320, 18888, 454, 1607, 4783, 568, 3501, 585, 2679, 2527, 585, 606, 3328, 606, 20326, 28335, 3593, 269, 1323, 2500, 18262, 538, 713, 2013, 1131, 581, 827, 476, 4335, 16936, 540, 19697, 1142, 3018, 630, 14818, 16238, 595, 2988, 542, 622, 267, 4530, 16238, 2037, 13183, 622, 2073, 590, 755, 534, 517, 267, 3092, 2507, 264, 543, 476, 1220, 268, 4968, 16936, 540, 5463, 320, 5937, 3120, 2513, 514, 1169, 3018, 269, 898, 1131, 581, 7787, 547, 1491, 1079, 24409, 829, 3018, 1317, 540, 519, 3282, 4320, 538, 519, 7135, 269, 1280, 1383, 267, 596, 666, 7630, 476, 272, 764, 540, 590, 755, 534, 517, 476, 7742, 543, 476, 272, 764, 540, 5463, 320, 5937, 3120, 2513, 514, 1169, 11728, 543, 11016, 585, 513, 1974, 540, 476, 279, 4374, 563, 14818, 16238, 543, 12736, 560, 1503, 18888, 454, 1607, 835, 568, 1776, 5078, 4783, 585, 606, 3328, 3593, 540, 606, 20326, 28335, 269, 1323, 2500, 18262, 585, 713, 4783, 1131, 581, 827, 476, 4335, 16936, 540, 19697, 1142, 3018, 630, 14818, 16238, 595, 2988, 542, 622, 267, 4530, 16238, 2037, 13183, 622, 2073, 590, 755, 534, 517, 267, 3092, 2507, 264, 543, 476, 1839, 268, 2004, 16936, 540, 12736, 560, 1503, 1142, 1554, 269, 17327, 3094, 5500, 568, 3006, 1454, 1732, 547, 946, 2073, 1317, 789, 616, 14949, 543, 513, 2603, 4443, 1287, 1455, 12736, 560, 1503, 24409, 563, 289, 22976, 909, 269, 1403, 513, 3684, 814, 513, 10160, 12966 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 990, 2884, 267, 519, 865, 341, 2884, 5718, 729, 26525, 547, 1689, 519, 3666, 540, 12741, 593, 741, 3870, 269, 1879, 4937, 10011, 549, 3357, 547, 1379, 607, 519, 23162, 2181, 332, 1512, 267, 2475, 15189, 547, 3761, 873, 609, 3282, 543, 849, 11074, 9140, 290, 889, 534, 4006, 563, 18197, 2276, 849, 6896, 547, 12235, 10011, 549, 856, 540, 1379, 543, 28117, 290, 18866, 269, 10609, 337, 2313, 3832, 341, 3576, 5413, 540, 519, 31587, 8594, 543, 6035, 1729, 948, 519, 23162, 4937, 269, 10011, 549, 729, 16219, 4027, 689, 519, 2475, 10676, 1988, 543, 729, 6035, 1007, 9467, 3255, 676, 519, 8168, 7093, 332, 1512, 269, 769, 2132, 267, 10011, 549, 4847, 519, 8168, 5742, 547, 3715, 993, 1170, 850, 3490, 538, 18010, 602, 2663, 8507, 538, 519, 5250, 540, 23162, 29309, 850, 6433, 269, 2991, 1082, 1296, 540, 16563, 7282, 519, 3390, 267, 538, 1960, 277, 519, 5399, 540, 3627, 674, 269, 17394, 5950, 513, 17245, 540, 519, 322, 5142, 529, 1063, 476, 1240, 628, 543, 476, 3066, 628, 5239, 476, 3422, 274, 538, 519, 1106, 540, 7148, 699, 322, 867, 902, 269, 634, 7148, 525, 2270, 1344, 540, 782, 7391, 602, 339, 809, 1747, 547, 8207, 519, 6433, 630, 4517, 3205, 476, 13136, 1916, 2691, 3627, 674, 269, 17394, 4607, 519, 1344, 827, 1018, 519, 8168, 684, 542, 729, 3257, 267, 1261, 1185, 513, 4960, 547, 957, 2901, 678, 14260, 610, 597, 1674, 958, 269, 17394, 779, 3375, 547, 2040, 3000, 1010, 2673, 9666, 619, 547, 29171, 1380, 519, 1259, 4464, 729, 7787, 1317, 971, 513, 4901, 949, 344, 1752, 513, 9266, 543, 2601, 539, 3070, 269, 2986, 1576, 267, 1282, 519, 29171, 15664, 267, 1082, 19450, 2093, 1759, 593, 4664, 941, 6069, 855, 16269, 1705, 711, 1780, 519, 1449, 269, 2368, 540, 519, 31548, 1185, 6069, 946, 540, 534, 2011, 10880, 547, 6861, 519, 28862, 538, 18010, 267, 855, 713, 3375, 729, 2254, 4553, 1034, 2693, 1813, 547, 922, 1641, 2032, 269, 589, 1279, 4901, 9994, 539, 519, 1895, 540, 519, 7022, 543, 1010, 14191, 9666, 619, 547, 845, 3634, 519, 1966, 543, 1020, 519, 5817, 10054, 585, 606, 984, 11187, 3375, 547, 581, 1500, 269, 634, 6364, 8761, 602, 519, 1372, 17800, 8452, 693, 998, 15360, 729, 2500, 543, 621, 646, 275, 331, 6244, 339, 871, 548, 519, 1966, 269, 634, 20772, 568, 602, 950, 519, 7022, 2893, 6658, 609, 1010, 31548, 267, 789, 9916, 519, 6364, 540, 1142, 543, 1169, 641, 5406, 543, 4956, 547, 4584, 519, 835, 602, 26857, 6099, 2164, 269, 901, 529, 513, 7787, 1259, 540, 6061, 2042, 610, 8236, 1305, 3853, 543, 538, 2865, 2665, 519, 1267, 540, 971, 513, 1505, 568, 2318, 269, 769, 713, 2013, 267, 946, 1993, 7787, 2623, 547, 4194, 513, 6433, 26857, 2318, 5613, 543, 1492, 1608, 600, 640, 540, 10570, 2112, 602, 729, 2693, 547, 3068, 519, 1158, 729, 322, 11323, 269, 634, 8168, 30856, 849, 19500, 678, 14260, 676, 24905, 1782, 1492, 28862, 538, 18010, 543, 3976, 9319, 30925, 609, 519, 2136, 1805, 919, 630, 15404, 6588, 557, 476, 280, 1916, 4002, 519, 824, 1688, 267, 952, 1312, 6105, 630, 18197, 2276, 543, 8168, 5742, 264, 20657, 3660, 547, 957, 3352, 1674, 958, 267, 519, 1267, 1131, 723, 1044, 1114, 269, 1403, 11990, 674, 269, 17394, 543, 1010, 31548, 1904, 539, 547, 10880, 519, 28862, 538, 290, 18866, 267, 1896, 7972, 1131, 723, 7018, 543, 972, 729, 519, 8273, 323, 9734, 540, 519, 8168, 5742, 14045, 547, 20947, 543, 3976, 3056, 547, 327, 4007, 9271, 540, 1272, 543, 3959, 269, 1403, 8168, 5718, 1904, 539, 547, 957, 597, 1674, 958, 543, 4497, 538, 513, 30925, 609, 519, 17189, 31741, 267, 327, 4007, 9271, 1131, 723, 7018, 547, 1312, 5011, 7488, 540, 2436, 16269, 4465, 610, 711, 563, 6962, 3509, 4532, 6342, 538, 1272, 1289, 585, 7787, 3664, 602, 616, 811, 984, 11187, 267, 4052, 543, 9266, 269, 13335, 540, 19450, 2409, 514, 1978, 10347, 2152, 666, 1291, 547, 5458, 9271, 1317, 19450, 20657, 2888, 616, 711, 1759, 593, 5013, 543, 7744, 267, 855, 2864, 789, 616, 22372, 593, 16148, 3206, 269, 2760, 1570, 1242, 20357, 519, 6105, 3238, 4294, 7787, 2623, 547, 4194, 519, 22568, 543, 713, 26857, 6099, 2164, 269, 769, 519, 2104, 267, 621, 568, 611, 6665, 762, 585, 2043, 547, 4019, 7787, 2081, 538, 6061, 2042, 528, 8236, 3853, 1317, 789, 723, 9863, 547, 581, 6225, 563, 4517, 3205, 267, 6754, 589, 269, 834, 13356, 1707, 1818, 676, 1843, 542, 543, 519, 23162, 332, 1170, 850, 6433, 1701, 8556, 13577, 3163, 22588, 569, 476, 2764, 269, 273, 263, 1220, 274, 2567, 476, 1001, 268, 19442, 269, 7179, 563, 15404, 6588, 557, 267, 21142, 269, 10749, 593, 17779, 543, 7787, 1143, 269, 24545, 4263, 331, 9017, 267, 21781, 281, 14339, 641, 328, 267, 476, 1220, 280, 269, 7179, 563, 302, 1389, 327, 2714, 267, 7812, 269, 21929, 1143, 538, 6214, 543, 824, 3594, 269, 6124, 3840, 281, 29034, 340, 523, 267, 476, 1220, 278, 269, 7179, 563, 305, 12688, 267, 6723, 269, 634, 31780, 1436, 540, 2486, 269, 23897, 663, 744, 6545, 267, 9773, 604, 281, 590, 17803, 267, 476, 1001, 274, 269, 7179, 269, 0, 31339, 960, 5054, 616, 711, 1175, 811, 11327, 267, 789, 2461, 8902, 20196, 779, 1434, 585, 12820, 607, 1134, 607, 5520, 563, 2005, 779, 1100, 5728, 281, 1879, 1004, 960, 538, 513, 17173, 1604, 267, 789, 616, 1447, 11327, 269, 1809, 519, 1942, 4422, 2484, 3564, 602, 269, 769, 519, 772, 2529, 269, 4346, 267, 2090, 540, 1164, 2566, 3906, 723, 3254, 912, 268, 2657, 1416, 24723, 616, 5176, 476, 2004, 2600, 2362, 563, 268, 634, 1977, 16723, 5948, 9193, 811, 982, 476, 20862, 2929, 960, 17058, 616, 4503, 1317, 540, 2566, 1142, 1032, 563, 268, 590, 4869, 344, 547, 476, 3199, 2600, 540, 9036, 10913, 616, 30289, 547, 2566, 563, 268, 2859, 982, 476, 3199, 2600, 540, 10629, 20499, 616, 2566, 1644, 563, 268, 769, 21712, 3906, 267, 519, 2539, 606, 9441, 779, 7584, 267, 519, 2362, 519, 8458, 540, 9025, 2068, 543, 2669, 689, 2295, 6285, 563, 29590, 849, 8309, 547, 771, 1263, 1771, 610, 3929, 1033, 16670, 269, 2755, 519, 8433, 540, 12287, 6773, 5004, 1281, 711, 1867, 2157, 540, 9441, 771, 1263, 1771, 267, 27907, 568, 1634, 547, 581, 1970, 269, 25613, 16040, 2229, 814, 22836, 540, 8362, 771, 1263, 3042, 5520, 267, 547, 946, 519, 11829, 1575, 8360, 269, 1306, 513, 1895, 267, 1346, 5520, 723, 2362, 15534, 2465, 1143, 267, 811, 10913, 267, 811, 6959, 267, 2539, 7607, 543, 2539, 6075, 9547, 563, 763, 3123, 540, 2566, 616, 547, 513, 4110, 2123, 855, 519, 1455, 4128, 267, 2523, 950, 23348, 616, 9395, 267, 1331, 2816, 22584, 267, 960, 20358, 267, 23696, 15569, 267, 7334, 2773, 6788, 267, 543, 2370, 610, 1100, 7589, 538, 3375, 1818, 563, 10048, 1771, 3527, 602, 2333, 2566, 1860, 782, 5520, 269, 1879, 2042, 616, 16053, 267, 2566, 2157, 2333, 936, 942, 269, 1879, 4057, 22407, 616, 16053, 621, 8591, 547, 519, 2566, 540, 1071, 22086, 619, 269, 4634, 519, 1655, 22407, 616, 12936, 952, 789, 6336, 6015, 538, 2359, 563, 18770, 20814, 513, 15474, 4518, 5113, 454, 1103, 4334, 267, 3875, 1382, 2090, 6166, 3906, 602, 3479, 547, 513, 2318, 960, 1604, 723, 513, 2484, 3152, 4960, 540, 8011, 532, 269, 634, 1870, 3332, 4396, 569, 7028, 606, 24084, 2989, 1935, 547, 2359, 602, 7028, 543, 7512, 6278, 563, 2005, 779, 513, 8810, 1870, 4640, 269, 11829, 1575, 779, 1382, 11498, 936, 1079, 5756, 269, 12344, 519, 1034, 7986, 17874, 6109, 267, 21025, 514, 8124, 267, 814, 2919, 606, 31044, 2657, 12039, 15100, 547, 948, 12820, 2708, 606, 3919, 779, 2359, 2853, 269, 634, 1455, 1445, 568, 593, 5355, 2773, 563, 307, 578, 731, 602, 1439, 267, 519, 14905, 2813, 519, 4741, 585, 31044, 28742, 538, 476, 1001, 274, 547, 3895, 2635, 960, 2359, 2853, 269, 1358, 1895, 960, 2359, 2853, 883, 2947, 6688, 912, 272, 269, 31287, 12833, 9876, 618, 454, 2108, 292, 742, 2176, 547, 2333, 9441, 9525, 7668, 4600, 267, 4125, 873, 538, 3375, 1818, 543, 2285, 873, 2799, 2816, 13190, 269, 31287, 9525, 3292, 666, 2333, 2816, 9547, 267, 9441, 27907, 543, 7029, 547, 519, 3919, 267, 607, 1134, 607, 2333, 7607, 267, 2569, 24826, 543, 15534, 2465, 1143, 543, 3986, 519, 2298, 540, 2472, 543, 2533, 3034, 29248, 1077, 618, 568, 519, 18388, 5320, 547, 3277, 547, 2853, 602, 1683, 585, 9441, 3403, 547, 960, 5829, 3664, 269, 2311, 519, 3665, 972, 616, 12820, 602, 7048, 593, 2043, 543, 6887, 602, 960, 609, 1100, 1463, 15569, 269, 634, 2259, 7153, 538, 1870, 936, 476, 2412, 1296, 3516, 269, 898, 3262, 1310, 519, 476, 1960, 271, 21748, 950, 3549, 17498, 1242, 267, 24609, 539, 519, 15796, 267, 543, 15518, 730, 12477, 563, 3086, 267, 3549, 4125, 5520, 538, 513, 3099, 540, 2081, 689, 6024, 6454, 6887, 547, 1445, 2516, 543, 476, 11740, 24266, 5955, 12220, 269, 898, 8309, 547, 2816, 9547, 543, 7029, 563, 273, 269, 4518, 21509, 18696, 454, 2108, 18183, 12787, 1063, 960, 543, 824, 1272, 9021, 666, 27298, 519, 2298, 540, 1312, 960, 543, 1753, 1272, 585, 5520, 267, 799, 538, 2490, 666, 1860, 10721, 4093, 971, 607, 7607, 267, 15534, 2465, 1143, 267, 543, 24826, 269, 27557, 547, 948, 5520, 2087, 960, 3734, 3666, 666, 2087, 27907, 267, 2333, 2816, 9547, 543, 7794, 5520, 685, 7029, 269, 3958, 267, 519, 3919, 2640, 689, 2799, 7607, 267, 4389, 7210, 2395, 267, 543, 24826, 3034, 763, 1719, 538, 960, 3734, 3666, 3323, 609, 7904, 868, 830, 543, 7658, 5570, 5024, 855, 1631, 849, 2882, 6351, 609, 1126, 3249, 543, 2200, 547, 948, 5520, 4308, 609, 2123, 2883, 2152, 543, 1455, 1920, 2042, 899, 7800, 2075, 732, 269, 634, 3804, 540, 1576, 568, 547, 13468, 2566, 543, 1118, 621, 4443, 585, 5520, 547, 1445, 593, 960, 269, 14146, 619, 543, 5520, 1312, 4324, 563, 274, 269, 31287, 12618, 543, 4886, 454, 2108, 10932, 2982, 7722, 5520, 1616, 547, 1332, 543, 7794, 741, 7207, 543, 723, 3255, 602, 4161, 1007, 5759, 269, 4804, 540, 1576, 3322, 3843, 1007, 2093, 543, 519, 6015, 602, 952, 789, 616, 711, 4628, 3811, 621, 786, 711, 9594, 513, 2942, 5114, 269, 1635, 3246, 3255, 585, 2208, 543, 1646, 267, 3906, 666, 2087, 519, 2298, 540, 741, 5520, 685, 960, 1995, 543, 8275, 519, 2640, 540, 3384, 4600, 547, 741, 2407, 1761, 3034, 1607, 3322, 811, 602, 6101, 1565, 3255, 269, 634, 1655, 2259, 2221, 11363, 5571, 5955, 267, 29013, 543, 18006, 538, 1840, 547, 1983, 2866, 267, 24875, 32158, 9309, 618, 267, 543, 4876, 13508, 269, 589, 2487, 1646, 568, 519, 1840, 540, 12751, 4804, 12079, 619, 547, 519, 15679, 5234, 563, 275, 269, 2657, 543, 8881, 454, 2108, 10890, 543, 3106, 3646, 1331, 513, 2647, 3099, 540, 9036, 2853, 602, 666, 948, 5520, 2087, 741, 2168, 543, 2790, 1072, 267, 2569, 1072, 4220, 267, 543, 4383, 2566, 3927, 269, 1635, 10115, 538, 519, 1072, 543, 3106, 540, 741, 5520, 267, 3906, 949, 4324, 689, 3152, 7607, 543, 20214, 538, 3782, 3790, 267, 15534, 2465, 1143, 543, 8009, 30032, 329, 1722, 3928, 3034, 292, 742, 2176, 547, 2232, 1072, 543, 3106, 2152, 1331, 2866, 593, 3106, 2152, 267, 7341, 547, 3895, 2635, 19824, 971, 607, 2566, 2359, 543, 7296, 29696, 3292, 269, 898, 849, 666, 1331, 16236, 13508, 267, 4568, 6057, 3292, 267, 31287, 26859, 15789, 543, 3277, 23552, 585, 2790, 1072, 2533, 563, 276, 269, 31287, 23779, 454, 2108, 32715, 2465, 6284, 3646, 8007, 5520, 1312, 14350, 543, 15217, 585, 741, 7418, 547, 519, 3919, 269, 23779, 666, 1491, 1585, 3029, 267, 6101, 543, 13016, 267, 13075, 543, 1875, 15065, 8767, 3034, 2691, 6284, 2853, 616, 2938, 607, 4023, 267, 621, 18791, 9441, 6278, 543, 12153, 4824, 2773, 269, 769, 519, 4357, 5823, 267, 2883, 12587, 616, 811, 610, 1447, 14804, 855, 602, 779, 15069, 711, 3020, 538, 2229, 269, 2334, 2306, 9228, 4023, 2359, 513, 3844, 3390, 269, 1879, 12587, 616, 5532, 547, 2773, 16863, 267, 621, 4463, 839, 519, 2956, 540, 875, 2773, 568, 9709, 543, 7307, 269, 5398, 12820, 723, 1185, 2042, 15175, 547, 2628, 585, 2773, 4507, 855, 972, 616, 1967, 2984, 269, 634, 2042, 798, 711, 7413, 519, 2956, 540, 9301, 1367, 543, 2319, 18517, 563, 1607, 9701, 581, 513, 3143, 5174, 1778, 518, 454, 11947, 2773, 1281, 711, 4096, 593, 1279, 3108, 269, 8758 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8849, 16784, 4388, 602, 954, 21745, 10028, 3056, 547, 22638, 28455, 1496, 28192, 267, 476, 25090, 316, 630, 8201, 476, 274, 5560, 26895, 11086, 267, 519, 9241, 4646, 8849, 8546, 25457, 28889, 2454, 3842, 30091, 547, 5512, 519, 8849, 8546, 547, 5094, 689, 922, 2627, 28341, 25866, 1496, 25248, 267, 476, 26727, 316, 630, 8201, 476, 274, 16216, 264, 1916, 279, 269, 274, 269, 12729, 3026, 584, 1637, 12411, 639, 18520, 3026, 584, 1637, 454, 27650, 8411, 1637, 543, 6281, 8411, 1637, 616, 1271, 11095, 3157, 543, 723, 1044, 4330, 538, 1082, 3631, 269, 769, 519, 7105, 267, 972, 1281, 711, 2291, 513, 2312, 11984, 607, 547, 950, 3119, 8411, 1637, 7475, 543, 6281, 8411, 1637, 5956, 282, 519, 2539, 11983, 10260, 814, 1044, 4330, 607, 22882, 531, 8411, 1637, 267, 17929, 3824, 1833, 543, 934, 4958, 542, 13173, 519, 1184, 540, 10747, 519, 1858, 799, 2269, 9536, 956, 3119, 543, 6281, 8411, 1637, 543, 568, 4061, 2219, 547, 11214, 2099, 1480, 5247, 659, 565, 29856, 838, 2088, 536, 604, 5866, 4586, 1103, 10856, 543, 3425, 267, 838, 2088, 536, 604, 5866, 1624, 738, 320, 814, 7361, 1044, 4330, 607, 513, 1267, 540, 5821, 540, 6281, 8411, 1637, 1496, 274, 267, 476, 21497, 4940, 1717, 267, 1454, 814, 1044, 4330, 540, 519, 10335, 540, 9067, 3912, 601, 1580, 22857, 576, 548, 1496, 14530, 267, 476, 27886, 316, 538, 6476, 547, 519, 10169, 11719, 1227, 796, 13630, 32328, 512, 9220, 1042, 10260, 7613, 799, 568, 4547, 593, 676, 16290, 13285, 1813, 547, 7508, 9451, 13887, 30617, 1547, 1548, 568, 10423, 568, 602, 267, 28000, 540, 2436, 610, 711, 972, 568, 2960, 8720, 519, 8849, 8546, 8919, 27295, 267, 519, 10335, 540, 519, 2783, 5673, 593, 519, 1377, 1141, 519, 3135, 540, 519, 27295, 568, 4092, 269, 18520, 8411, 1637, 538, 519, 10856, 568, 4330, 607, 9648, 693, 5485, 1537, 1377, 476, 273, 1547, 4475, 267, 547, 4766, 9067, 3912, 601, 1580, 22857, 576, 548, 607, 4611, 689, 5821, 540, 6281, 8411, 1637, 1131, 581, 5841, 563, 280, 269, 634, 21834, 3297, 519, 23305, 15448, 538, 1975, 1400, 22532, 570, 4209, 1849, 3837, 454, 1607, 3296, 26564, 519, 1585, 6090, 602, 616, 23564, 593, 1282, 8411, 1637, 543, 4171, 3252, 723, 1044, 26582, 538, 519, 1585, 7293, 2242, 602, 519, 11983, 8849, 8546, 25457, 538, 1931, 585, 19479, 547, 581, 6913, 563, 280, 269, 272, 269, 4643, 541, 8426, 2717, 10846, 543, 20593, 7217, 22362, 454, 23945, 541, 1591, 8701, 640, 630, 303, 9573, 264, 568, 513, 1184, 538, 799, 2281, 1020, 609, 7833, 10066, 1369, 519, 7077, 540, 606, 13423, 26375, 1547, 634, 7193, 303, 13374, 568, 513, 1875, 4754, 517, 673, 654, 660, 13374, 1496, 18597, 267, 476, 7742, 1700, 21857, 4940, 15316, 654, 660, 6675, 616, 1634, 547, 1404, 5107, 538, 519, 7193, 303, 13374, 971, 607, 654, 660, 1556, 543, 654, 660, 276, 320, 1496, 7742, 267, 476, 26562, 14073, 303, 9573, 15202, 814, 1044, 6700, 547, 581, 5097, 2838, 585, 11118, 25063, 2534, 267, 585, 1383, 267, 10408, 31732, 4288, 267, 1591, 16052, 28455, 267, 543, 1591, 2173, 520, 3700, 28455, 1547, 16164, 1646, 267, 1560, 4552, 10066, 267, 26445, 540, 519, 10444, 13423, 26375, 538, 519, 6418, 1274, 267, 543, 519, 9859, 3350, 540, 8544, 26067, 2096, 531, 1591, 5095, 1282, 8819, 337, 1637, 616, 1851, 519, 3157, 8506, 1697, 7193, 303, 15202, 538, 30900, 1496, 25375, 267, 476, 22724, 1700, 16348, 4940, 769, 30900, 267, 1599, 540, 519, 7193, 303, 13374, 5526, 547, 581, 2838, 585, 4780, 7217, 10137, 630, 4753, 1040, 19681, 749, 760, 17377, 723, 1044, 519, 1826, 540, 1591, 3254, 547, 5397, 9460, 269, 1452, 3376, 6656, 6438, 1486, 6350, 687, 11851, 20086, 593, 11105, 8544, 25866, 531, 2281, 4929, 1199, 2723, 8632, 954, 5632, 566, 1496, 27038, 1700, 28796, 4940, 7193, 303, 15202, 3123, 519, 7939, 540, 11118, 25063, 3919, 602, 23799, 1026, 2373, 1016, 14978, 7193, 303, 3334, 12623, 5471, 29182, 4929, 26445, 540, 891, 2281, 1547, 5047, 267, 3334, 540, 519, 15202, 22107, 1228, 27721, 610, 616, 6829, 12623, 5471, 29182, 538, 519, 22917, 749, 760, 17377, 1496, 7742, 267, 476, 26562, 14073, 16449, 519, 6090, 26582, 538, 713, 2121, 3350, 540, 2281, 267, 1634, 607, 4780, 7217, 10137, 267, 616, 476, 273, 12623, 13240, 7636, 1949, 602, 1852, 7193, 303, 7180, 267, 519, 968, 14537, 892, 6090, 543, 519, 968, 293, 520, 5937, 778, 338, 748, 892, 7193, 303, 1062, 1496, 28360, 267, 476, 26783, 4940, 634, 968, 14537, 892, 6090, 2285, 4473, 547, 6687, 817, 18993, 19830, 2033, 5946, 281, 29443, 3960, 1194, 630, 293, 345, 323, 268, 274, 267, 910, 277, 267, 543, 910, 278, 1070, 11709, 717, 26710, 630, 309, 836, 331, 268, 272, 543, 910, 273, 1070, 4469, 5446, 334, 630, 290, 1564, 337, 268, 272, 267, 910, 273, 267, 543, 910, 274, 1070, 543, 11118, 657, 4301, 3334, 267, 2598, 515, 767, 1194, 630, 291, 341, 331, 268, 272, 267, 910, 273, 267, 543, 910, 274, 1070, 17630, 630, 1103, 951, 514, 1070, 543, 623, 4459, 548, 630, 303, 330, 268, 272, 543, 910, 273, 264, 1547, 634, 15310, 5937, 778, 338, 748, 630, 293, 339, 5937, 338, 264, 13374, 2882, 519, 1804, 1486, 665, 611, 615, 1231, 674, 339, 543, 667, 338, 267, 9117, 607, 922, 14270, 663, 267, 543, 9050, 18191, 31212, 630, 293, 329, 264, 607, 513, 30110, 22080, 17055, 18993, 19830, 2033, 32635, 1547, 13560, 6894, 540, 519, 7193, 303, 1062, 616, 623, 14154, 630, 23945, 541, 2717, 10846, 6356, 528, 264, 6090, 281, 2271, 29354, 630, 1103, 1070, 674, 761, 345, 630, 293, 4135, 345, 1070, 543, 17540, 21424, 630, 293, 344, 264, 1496, 25228, 267, 476, 29214, 4940, 634, 13038, 30733, 670, 4202, 630, 332, 3369, 264, 957, 19654, 540, 1312, 7193, 303, 543, 623, 14154, 476, 609, 654, 660, 275, 267, 654, 660, 276, 320, 267, 654, 660, 278, 320, 267, 543, 654, 660, 1556, 607, 22124, 4586, 309, 836, 331, 268, 273, 630, 845, 28861, 1634, 607, 700, 339, 777, 543, 700, 653, 272, 264, 814, 1044, 4857, 607, 519, 1757, 894, 5444, 538, 519, 8520, 2389, 841, 10856, 1496, 10755, 267, 476, 28803, 267, 476, 29483, 4940, 631, 20706, 538, 595, 1564, 337, 268, 272, 2014, 22623, 1640, 778, 27688, 529, 529, 538, 519, 9197, 1662, 10856, 1547, 634, 667, 341, 331, 268, 272, 22230, 341, 331, 268, 273, 267, 667, 341, 331, 268, 273, 22230, 341, 331, 268, 274, 267, 667, 341, 331, 268, 273, 270, 309, 836, 331, 268, 273, 267, 543, 674, 345, 323, 268, 274, 22077, 345, 323, 268, 277, 5595, 22545, 719, 8983, 849, 723, 4049, 24857, 291, 3029, 267, 5631, 22623, 1640, 778, 27688, 529, 529, 543, 608, 775, 874, 3315, 1496, 29483, 267, 476, 27244, 1700, 24129, 4940, 634, 966, 836, 331, 268, 272, 543, 966, 836, 331, 268, 273, 7623, 10636, 27340, 1774, 15225, 22623, 1640, 778, 27688, 529, 529, 1547, 634, 1875, 14537, 7193, 303, 6090, 849, 8858, 4049, 24857, 291, 538, 741, 10856, 4573, 1218, 1519, 19871, 14977, 4592, 710, 20943, 848, 476, 278, 630, 8976, 298, 278, 1070, 2480, 1026, 16940, 7193, 303, 3940, 267, 519, 5444, 3743, 585, 519, 5858, 2766, 10856, 26737, 267, 2480, 1026, 267, 543, 2598, 515, 767, 1194, 645, 4193, 4165, 6782, 626, 540, 29530, 4211, 22760, 514, 476, 272, 630, 291, 716, 268, 272, 264, 1496, 21857, 267, 476, 17734, 267, 476, 28638, 1700, 28071, 4940, 2353, 540, 891, 6090, 723, 1044, 26582, 538, 519, 7193, 303, 13374, 269, 23299, 540, 4780, 7217, 10137, 2164, 538, 606, 1930, 683, 3120, 343, 529, 630, 1492, 3003, 8849, 8546, 689, 4571, 28090, 547, 1970, 12636, 3788, 6534, 264, 543, 513, 27571, 21872, 267, 811, 4122, 4330, 607, 22623, 1640, 778, 27688, 529, 529, 563, 280, 269, 273, 269, 22532, 674, 1245, 29175, 566, 543, 645, 2056, 454, 291, 528, 810, 1203, 1537, 1273, 614, 940, 538, 519, 8849, 1646, 540, 30900, 568, 6417, 676, 519, 15632, 543, 8701, 1944, 3601, 540, 519, 6989, 6676, 1547, 20309, 540, 1585, 6090, 971, 607, 521, 4577, 21963, 32120, 630, 4537, 327, 1070, 5642, 10641, 21925, 3940, 630, 289, 6573, 264, 476, 278, 267, 670, 22143, 274, 15512, 267, 543, 966, 836, 331, 268, 272, 32338, 908, 689, 519, 711, 5255, 867, 543, 6989, 6676, 568, 2219, 547, 2014, 1591, 20487, 799, 7506, 519, 10641, 14003, 540, 519, 8849, 8546, 1496, 11793, 267, 476, 13040, 267, 476, 12208, 267, 476, 13647, 267, 476, 21857, 4940, 634, 6989, 6676, 543, 711, 5255, 867, 2408, 547, 1852, 519, 4806, 540, 1591, 2010, 602, 2408, 2059, 519, 546, 528, 810, 1203, 1537, 7852, 540, 519, 8849, 8546, 1496, 26297, 267, 476, 30116, 4940, 5651, 874, 14003, 540, 519, 11983, 8849, 8546, 267, 538, 1880, 267, 519, 5250, 540, 519, 11667, 554, 16636, 1448, 630, 300, 27426, 1070, 568, 1034, 2693, 513, 1875, 928, 1755, 788, 527, 16773, 1591, 14628, 2962, 607, 621, 568, 8200, 593, 519, 15285, 540, 5887, 1537, 1591, 2010, 676, 6786, 10299, 689, 30212, 8544, 25866, 531, 2281, 540, 519, 711, 5255, 867, 547, 936, 2391, 5778, 788, 527, 16773, 2281, 1496, 30116, 1700, 29257, 14073, 3412, 8690, 566, 543, 705, 3175, 6901, 799, 26203, 519, 711, 5255, 867, 538, 1312, 7105, 543, 10856, 24201, 1496, 21854, 267, 476, 29257, 1700, 27868, 316, 20240, 602, 519, 711, 5255, 867, 568, 2838, 585, 5250, 540, 519, 631, 27426, 269, 898, 729, 6069, 602, 519, 711, 5255, 867, 13847, 513, 10641, 4094, 602, 949, 10038, 631, 27426, 5250, 269, 1744, 327, 3940, 568, 6829, 538, 519, 711, 5255, 867, 693, 713, 3942, 1496, 13647, 267, 476, 25971, 316, 543, 3498, 540, 2901, 1744, 327, 7721, 335, 7675, 2281, 610, 29881, 3940, 547, 13591, 8849, 6676, 1011, 1218, 5012, 547, 15632, 540, 519, 6989, 6676, 2073, 11021, 602, 1744, 327, 568, 519, 631, 27426, 11897, 1424, 10641, 4094, 269, 1717, 267, 631, 27426, 5250, 568, 711, 11207, 27618, 538, 1744, 327, 5991, 1638, 10856, 24201, 267, 11021, 602, 824, 2188, 689, 519, 711, 5255, 867, 949, 849, 723, 631, 27426, 11897, 1424, 3601, 4586, 763, 2034, 3135, 540, 8849, 16784, 19755, 607, 4330, 538, 8791, 476, 279, 269, 273, 543, 7612, 476, 274, 6262, 264, 568, 519, 21053, 565, 8632, 554, 16636, 1448, 630, 13036, 27426, 1040, 645, 2056, 540, 519, 5778, 788, 527, 26375, 693, 519, 667, 299, 27426, 568, 14931, 676, 20102, 21087, 2065, 6786, 5007, 547, 519, 8849, 16784, 267, 607, 12649, 676, 5682, 324, 543, 10515, 335, 1496, 23470, 267, 476, 29579, 4940, 769, 4334, 547, 4571, 1467, 19755, 267, 1744, 327, 814, 1044, 3254, 547, 21391, 21053, 565, 8632, 19755, 538, 519, 10856, 476, 5812, 609, 606, 9000, 540, 24857, 17762, 538, 1744, 327, 5991, 1638, 24201, 269, 28686, 4433, 264, 16109, 689, 519, 2627, 28341, 25866, 630, 10345, 264, 17663, 4433, 264, 513, 2034, 21087, 2065, 5365, 3238, 538, 519, 7939, 543, 5250, 540, 519, 667, 299, 295, 11679, 1547, 901, 814, 1044, 6700, 607, 2417, 2963, 602, 19755, 540, 519, 8849, 26642, 3322, 15202, 689, 519, 10323, 269, 24942, 10641, 21925, 5946, 630, 289, 6573, 338, 264, 616, 10457, 547, 1199, 5573, 713, 15202, 269, 8422, 645, 6573, 338, 630, 289, 6573, 273, 267, 645, 6573, 275, 267, 543, 645, 6573, 278, 264, 616, 6829, 538, 519, 11983, 8849, 8546, 269, 645, 6573, 273, 543, 645, 6573, 278, 616, 6829, 538, 519, 2627, 28341, 25866, 11105, 547, 519, 1930, 11983, 8849, 8546, 267, 1247, 645, 6573, 275, 568, 6829, 538, 519, 2627, 28341, 25866, 936, 2391, 519, 6806, 11983, 8849, 8546, 4586, 13146, 2090, 2303, 602, 715, 690, 6265, 949, 849, 1404, 513, 1909, 538, 15725, 667, 299, 27426, 5250, 1496, 29580, 267, 476, 27840, 4940, 715, 690, 6265, 568, 606, 28166, 540, 645, 6573, 15202, 543, 568, 6829, 693, 519, 4388, 540, 519, 813, 3151, 8849, 26642, 1496, 27840, 267, 476, 29848, 4940, 13067, 27340, 748, 10856, 24201, 14275, 585, 715, 690, 6265, 8858, 1312, 608, 775, 874, 3315, 543, 838, 2088, 536, 604, 5866, 630, 1911, 8472, 1496, 29580, 267, 476, 27768, 4940, 1717, 267, 838, 2088, 536, 604, 5866, 1281, 711, 8451, 538, 4630, 27340, 748, 715, 690, 6265, 4573, 1218, 2394, 25782, 1554, 476, 1556, 268, 1321, 950, 519, 8849, 8546, 8297, 696, 999, 269, 634, 11983, 8849, 8546, 540, 4630, 27340, 748, 14275, 715, 690, 6265, 24201, 1282, 8411, 1637, 3217, 593 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1927, 609, 519, 15298, 3631, 547, 1267, 538, 595, 304, 4187, 540, 623, 269, 23881, 27457, 30946, 563, 763, 623, 269, 23881, 27457, 30946, 21313, 4573, 919, 538, 519, 1098, 1602, 614, 3940, 538, 519, 667, 309, 540, 519, 21313, 865, 607, 547, 581, 2111, 547, 5706, 519, 2962, 540, 844, 514, 13238, 5061, 593, 519, 21313, 269, 901, 15817, 814, 1044, 4105, 547, 922, 6668, 1317, 519, 844, 514, 13238, 5061, 1106, 23838, 609, 519, 3768, 580, 6479, 646, 1889, 630, 293, 289, 1070, 799, 1287, 30897, 525, 519, 26220, 17011, 267, 21006, 621, 269, 13518, 1382, 814, 1044, 6131, 547, 1265, 1007, 2081, 547, 8396, 519, 4573, 908, 21313, 538, 922, 19915, 585, 6668, 269, 901, 2882, 281, 4466, 1007, 2081, 547, 946, 4587, 5061, 282, 2699, 30472, 532, 4867, 4540, 5061, 282, 543, 4466, 1007, 5061, 1813, 547, 1732, 1620, 540, 519, 6211, 2497, 540, 519, 21313, 630, 18693, 698, 7236, 267, 1696, 620, 269, 476, 1220, 274, 1040, 634, 946, 540, 476, 275, 268, 3133, 13228, 514, 13238, 5061, 267, 585, 1383, 267, 844, 24100, 267, 803, 4148, 29783, 267, 543, 993, 17377, 638, 710, 814, 1279, 1044, 6964, 538, 13663, 3797, 269, 4256, 12117, 814, 1044, 12042, 1229, 676, 595, 304, 4187, 799, 814, 7960, 538, 519, 15495, 936, 942, 607, 606, 9542, 269, 1715, 2090, 723, 7152, 602, 519, 21313, 2833, 7411, 538, 3384, 513, 595, 304, 4187, 547, 5061, 799, 12622, 547, 674, 303, 630, 18693, 1173, 7236, 267, 1696, 620, 269, 476, 1220, 274, 1040, 3194, 4061, 6212, 593, 519, 5137, 540, 3209, 16755, 540, 476, 275, 268, 3133, 13228, 26096, 1149, 799, 786, 1287, 581, 2111, 547, 8396, 13663, 3927, 563, 2690, 1383, 267, 2549, 17377, 638, 710, 630, 288, 304, 264, 568, 2500, 1996, 595, 304, 305, 1922, 531, 27457, 30946, 267, 855, 922, 946, 568, 711, 5227, 1813, 547, 4611, 989, 3757, 592, 26014, 2670, 543, 14817, 16464, 640, 593, 1480, 5396, 950, 1031, 269, 1717, 267, 645, 2001, 331, 267, 630, 1220, 276, 264, 2798, 856, 602, 1382, 2090, 723, 8507, 538, 14806, 558, 17377, 638, 710, 267, 606, 4244, 547, 589, 304, 799, 568, 10930, 630, 289, 2001, 331, 476, 1220, 276, 282, 4437, 1173, 7236, 1696, 620, 269, 476, 1220, 274, 1916, 763, 12536, 540, 688, 655, 18331, 538, 519, 512, 5268, 9926, 334, 924, 540, 623, 269, 23881, 27457, 30946, 3217, 1747, 538, 922, 9667, 7477, 340, 1961, 269, 2423, 17067, 3797, 609, 1884, 2711, 541, 10118, 4481, 6098, 519, 26172, 10135, 307, 538, 519, 667, 309, 267, 11375, 4226, 713, 1184, 267, 543, 3976, 267, 3927, 6861, 519, 21313, 269, 1306, 513, 1267, 267, 519, 21313, 814, 7960, 547, 8190, 713, 1599, 267, 5631, 5156, 547, 581, 513, 1599, 540, 3940, 512, 753, 1602, 614, 3940, 538, 519, 667, 309, 779, 5631, 26172, 10135, 307, 543, 26172, 300, 11403, 272, 269, 3194, 568, 1631, 5059, 593, 4466, 1007, 2447, 6139, 8427, 8069, 547, 8396, 519, 21313, 269, 4197, 519, 7154, 540, 595, 304, 4187, 3947, 1732, 5813, 883, 3384, 4587, 5929, 476, 275, 268, 3133, 13228, 26096, 1149, 269, 1715, 16755, 540, 891, 5061, 616, 5156, 547, 581, 2111, 547, 8396, 595, 304, 305, 15495, 563, 18693, 698, 7236, 717, 269, 1696, 620, 1421, 476, 1220, 274, 269, 4165, 2711, 25106, 18068, 281, 1762, 15963, 610, 1394, 547, 519, 2104, 286, 12367, 538, 31226, 527, 1108, 476, 866, 630, 1556, 2567, 476, 5325, 280, 268, 4366, 277, 563, 289, 517, 8759, 267, 808, 1421, 12844, 8759, 267, 570, 269, 667, 1421, 962, 578, 749, 267, 595, 269, 589, 1421, 17540, 10202, 24499, 267, 670, 1421, 1299, 667, 877, 267, 808, 269, 645, 269, 630, 1220, 278, 1040, 11879, 5107, 585, 519, 9667, 7477, 340, 1961, 9842, 332, 10134, 1231, 540, 26736, 7116, 1756, 23881, 27457, 30946, 538, 7477, 340, 6897, 1599, 269, 17449, 31814, 267, 476, 4792, 263, 272, 1070, 476, 5038, 268, 4037, 269, 8222, 281, 1015, 269, 9340, 272, 10768, 269, 15793, 276, 268, 27768, 279, 269, 1220, 278, 269, 4962, 278, 6924, 11859, 454, 289, 2001, 623, 269, 1696, 620, 1421, 476, 1220, 276, 320, 269, 20223, 519, 1909, 540, 26172, 10135, 307, 538, 26736, 7116, 1756, 23881, 27457, 30946, 8392, 29783, 4187, 269, 17449, 31814, 476, 6321, 630, 273, 1070, 476, 26825, 1700, 18357, 563, 289, 2001, 623, 269, 1696, 620, 1421, 476, 1220, 277, 321, 269, 26172, 10135, 307, 543, 519, 1098, 8686, 659, 340, 6897, 23442, 6850, 23755, 13506, 281, 15725, 519, 1569, 540, 8392, 29783, 547, 7542, 686, 2889, 9008, 6973, 10455, 514, 26577, 269, 17449, 31814, 267, 476, 7830, 630, 272, 2567, 476, 24487, 268, 25172, 454, 293, 573, 1442, 667, 1421, 476, 1220, 271, 269, 631, 20706, 538, 519, 623, 269, 23881, 27457, 30946, 9667, 7477, 340, 1961, 18993, 19830, 2033, 3940, 26172, 10135, 307, 543, 2963, 585, 741, 1909, 538, 8392, 29783, 4187, 269, 17449, 8426, 476, 277, 630, 275, 2567, 476, 279, 8618, 268, 9262, 272, 563, 13640, 553, 2572, 538, 18972, 267, 630, 1001, 272, 1040, 26736, 7116, 1756, 23881, 27457, 30946, 2173, 531, 7559, 269, 12232, 693, 5291, 2517, 4178, 269, 1706, 553, 2572, 514, 21065, 753, 3820, 270, 680, 553, 7116, 1756, 1922, 531, 27457, 30946, 2173, 531, 7559, 11258, 454, 305, 1690, 2465, 9366, 631, 1421, 476, 1220, 272, 269, 12472, 540, 513, 2189, 26736, 7116, 1756, 23881, 27457, 30946, 8392, 29783, 9113, 2700, 26737, 538, 7681, 609, 26172, 10135, 307, 26340, 1143, 538, 14466, 7699, 1715, 19892, 543, 3162, 3013, 269, 623, 2793, 306, 267, 476, 7176, 630, 2420, 2567, 476, 14695, 8660, 268, 14695, 11463, 454, 3725, 539, 267, 631, 1421, 1696, 620, 1421, 476, 1220, 271, 269, 623, 724, 272, 1110, 12885, 8417, 543, 637, 2700, 547, 2789, 1884, 2711, 541, 10118, 454, 514, 26736, 7116, 1756, 23881, 27457, 30946, 269, 7186, 630, 29889, 2567, 476, 3445, 277, 268, 3445, 280, 563, 305, 578, 6511, 631, 1421, 476, 1220, 280, 269, 25914, 29783, 3560, 3842, 519, 4731, 4673, 15495, 8392, 29783, 1098, 1602, 614, 269, 3163, 476, 23283, 281, 476, 12739, 271, 563, 26596, 31712, 595, 269, 1696, 620, 1421, 476, 1001, 271, 269, 9558, 1602, 1562, 607, 18657, 2209, 540, 3075, 4187, 538, 26736, 7116, 1756, 23881, 27457, 30946, 269, 4139, 4750, 585, 31226, 527, 1108, 267, 476, 2412, 281, 8099, 280, 1700, 9340, 279, 454, 26596, 31712, 595, 269, 1696, 620, 1421, 476, 1001, 272, 269, 18726, 3095, 720, 9382, 28196, 710, 519, 5107, 540, 26172, 10135, 307, 543, 26172, 300, 11403, 272, 538, 3075, 13250, 543, 18687, 538, 26736, 7116, 1756, 23881, 27457, 30946, 269, 17449, 31814, 476, 11025, 263, 275, 1070, 476, 279, 4792, 1700, 279, 4281, 454, 306, 532, 16852, 589, 1421, 7638, 323, 1512, 6261, 514, 731, 667, 1421, 1299, 674, 573, 1442, 667, 1421, 476, 1220, 273, 269, 25914, 29783, 4187, 538, 26736, 7116, 1756, 23881, 27457, 30946, 13663, 15495, 24705, 1042, 676, 26172, 10135, 307, 13592, 269, 3163, 476, 29218, 281, 476, 13975, 268, 22659, 563, 307, 592, 2033, 2160, 267, 630, 1001, 272, 1040, 4437, 17190, 540, 26736, 7116, 1756, 269, 12232, 693, 5291, 2517, 4178, 6745, 592, 2033, 12975, 270, 349, 342, 16014, 270, 7356, 7559, 11721, 341, 11258, 258, 1335, 9926, 7765, 454, 307, 559, 2917, 267, 700, 1421, 667, 21779, 267, 631, 1421, 1299, 31489, 918, 1421, 476, 1001, 272, 269, 634, 26736, 7116, 1756, 1922, 531, 27457, 30946, 7783, 2699, 1973, 1591, 269, 634, 4139, 4750, 540, 4437, 17190, 543, 8426, 10334, 476, 6246, 281, 476, 279, 4375, 268, 279, 5655, 563, 11749, 1457, 1090, 657, 590, 1421, 1299, 674, 573, 1442, 267, 667, 1421, 476, 1220, 277, 269, 3690, 1602, 1562, 3238, 538, 4187, 547, 4550, 2173, 531, 25106, 5061, 269, 12367, 538, 24103, 1670, 7070, 267, 476, 2767, 630, 1556, 2567, 476, 6795, 275, 268, 31430, 563, 295, 11391, 601, 10458, 1696, 620, 1421, 476, 1220, 274, 269, 26736, 7116, 1756, 23881, 27457, 30946, 281, 27531, 9245, 547, 1332, 14848, 286, 12367, 538, 31226, 527, 1108, 476, 866, 630, 272, 2567, 476, 2537, 268, 1839, 269, 0, 286, 24109, 753, 616, 5156, 547, 723, 8452, 593, 519, 6532, 1631, 1634, 607, 11511, 974, 28069, 1063, 476, 20981, 271, 268, 7785, 271, 14514, 267, 543, 519, 2038, 32665, 11317, 949, 723, 8452, 689, 5607, 19724, 269, 286, 2755, 891, 2038, 11317, 941, 18642, 267, 789, 1185, 2907, 9862, 930, 5933, 540, 7607, 971, 607, 28429, 6469, 2831, 630, 286, 300, 3626, 534, 267, 286, 667, 3342, 1040, 286, 7073, 18840, 1670, 4681, 4266, 29586, 17375, 20341, 267, 799, 729, 4749, 21243, 609, 1651, 2213, 12166, 18305, 543, 1500, 547, 708, 10028, 8043, 1500, 540, 12450, 267, 3574, 267, 610, 12404, 267, 547, 713, 2038, 942, 1974, 630, 298, 8083, 19281, 752, 529, 1040, 888, 286, 32481, 476, 4968, 271, 14514, 267, 11511, 974, 2968, 519, 1753, 540, 519, 2038, 631, 3626, 534, 10340, 267, 513, 27705, 6520, 2528, 267, 3957, 1310, 519, 19416, 14610, 3687, 657, 269, 286, 898, 568, 7334, 2436, 519, 4622, 729, 606, 4890, 1268, 610, 711, 267, 855, 17691, 827, 1864, 941, 6264, 543, 26704, 269, 286, 2368, 8941, 3769, 1010, 4620, 3687, 582, 4768, 267, 513, 17145, 3887, 908, 20599, 609, 519, 2212, 540, 13032, 543, 519, 1560, 540, 513, 812, 630, 286, 300, 3626, 534, 267, 286, 661, 289, 1040, 286, 634, 12625, 540, 519, 631, 3626, 753, 3459, 513, 1974, 540, 13884, 593, 519, 6532, 267, 543, 1282, 519, 7766, 5553, 267, 11511, 974, 2968, 519, 1101, 4099, 540, 1164, 10340, 538, 602, 1858, 540, 519, 11335, 543, 19832, 519, 16380, 607, 513, 2707, 540, 14868, 267, 17691, 267, 543, 4031, 563, 15900, 631, 3626, 753, 3710, 2178, 8075, 540, 6149, 543, 15839, 602, 1419, 1185, 513, 1804, 1297, 540, 11623, 267, 2699, 29147, 6821, 267, 543, 21490, 1330, 1399, 1841, 267, 1498, 2963, 5267, 519, 11317, 949, 723, 4797, 547, 2661, 538, 23572, 585, 930, 942, 607, 1134, 630, 286, 300, 3626, 534, 267, 286, 667, 3342, 1040, 286, 4658, 15151, 5030, 538, 1024, 657, 267, 610, 804, 753, 267, 543, 789, 2919, 5812, 8105, 267, 6006, 9870, 267, 11288, 267, 543, 16450, 269, 286, 1635, 713, 942, 267, 519, 12624, 31001, 729, 10847, 539, 607, 513, 1106, 540, 513, 25976, 543, 513, 4990, 540, 1381, 3090, 269, 286, 1452, 2038, 11317, 616, 1134, 1634, 585, 741, 4070, 540, 513, 3099, 540, 9723, 2125, 630, 26171, 29256, 539, 9723, 2125, 693, 519, 30577, 540, 11619, 4673, 267, 524, 626, 9723, 2125, 538, 15011, 32221, 267, 12068, 9723, 2125, 538, 3397, 807, 7353, 320, 543, 23063, 807, 267, 543, 18205, 7135, 538, 824, 6753, 1070, 799, 666, 1869, 581, 4767, 2221, 269, 286, 8000, 6670, 6163, 543, 23598, 7960, 1282, 713, 942, 607, 631, 3626, 753, 1031, 1880, 20590, 2553, 543, 8032, 20341, 883, 6272, 971, 607, 7790, 974, 777, 582, 286, 5546, 543, 7381, 267, 581, 8898, 8486, 7129, 269, 286, 19331, 731, 476, 5002, 271, 14514, 267, 519, 1439, 540, 713, 1974, 267, 1634, 607, 519, 2776, 6261, 531, 864, 11270, 267, 519, 1101, 4874, 577, 4435, 20341, 729, 1500, 630, 286, 300, 3626, 534, 267, 286, 667, 3342, 1916, 763, 3689, 20066, 11270, 281, 476, 5002, 271, 268, 10204, 271, 14514, 454, 286, 763, 1985, 3140, 1974, 267, 1634, 607, 519, 3689, 20066, 11270, 267, 814, 1044, 865, 3957, 1317, 519, 631, 3626, 753, 3459, 547, 1628, 1804, 5493, 2167, 269, 286, 7073, 14155, 725, 5815, 972, 941, 5493, 2167, 538, 12928, 1601, 657, 267, 1912, 320, 652, 657, 267, 5689, 807, 267, 543, 2098, 752, 4592, 267, 1498, 18840, 5505, 3494, 972, 1590, 723, 1044, 1866, 630, 286, 300, 3626, 534, 267, 286, 667, 3342, 1040, 286, 19196, 822, 725, 540, 891, 5493, 2167, 723, 7000, 1896, 1455, 4162, 281, 1142, 8659, 513, 1804, 1857, 1330, 1399, 731, 543, 14074, 585, 13936, 1804, 9424, 540, 10286, 269, 286, 634, 5493, 2167, 941, 5156, 547, 581, 11889, 7740, 585, 1804, 2199, 5095, 282, 585, 1383, 267, 2487, 9193, 2303, 12928, 1601, 657, 1185, 1063, 476, 1428, 267, 1822, 543, 476, 2004, 267, 1822, 1004, 630, 286, 763, 31932, 1862, 0, 1607, 2037, 26171, 906, 4635, 14105, 6396, 3381, 849, 2882, 912, 8201, 856, 1018, 547, 798, 950, 972, 568, 1100, 7470, 547, 1293, 269, 4635, 513, 14610, 543, 513, 8325, 15513, 267, 519, 15669, 2982, 875, 547, 1685, 513, 546 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 17206, 540, 27925, 454, 2691, 513, 2197, 16976, 593, 1945, 602, 789, 616, 2469, 547, 3132, 713, 1587, 814, 547, 1305, 873, 6306, 689, 824, 2477, 269, 589, 2197, 13279, 741, 1587, 593, 2188, 971, 607, 875, 1454, 621, 3790, 873, 547, 3132, 621, 543, 952, 621, 5036, 873, 6306, 689, 519, 6735, 269, 589, 13354, 5413, 568, 519, 6117, 3196, 540, 2504, 585, 1169, 2197, 269, 769, 713, 1957, 649, 786, 1865, 13354, 5413, 267, 10731, 2188, 538, 519, 2504, 540, 1978, 2472, 267, 7840, 585, 519, 2197, 547, 20647, 538, 267, 543, 6080, 519, 2197, 540, 1250, 3903, 14014, 630, 604, 1022, 1916, 2690, 519, 3483, 540, 713, 1957, 594, 723, 6074, 547, 2263, 519, 13814, 543, 741, 13354, 3267, 1613, 1647, 540, 519, 3561, 2483, 4415, 602, 538, 2247, 649, 616, 1394, 547, 519, 13354, 5413, 634, 13814, 814, 936, 824, 2477, 269, 1323, 2376, 594, 1224, 2228, 17640, 547, 519, 13354, 5413, 543, 519, 10656, 2829, 602, 968, 933, 723, 4857, 1614, 1271, 13421, 538, 519, 10656, 13143, 3270, 267, 12077, 519, 5810, 543, 15620, 12440, 267, 519, 6683, 543, 1426, 12440, 543, 519, 3114, 12440, 269, 634, 4222, 540, 891, 13421, 568, 2864, 10770, 936, 942, 269, 634, 5817, 2188, 7713, 519, 1967, 540, 891, 13421, 616, 3119, 2472, 543, 2029, 269, 898, 568, 4277, 547, 4063, 602, 891, 2472, 616, 10058, 585, 519, 10656, 13354, 5413, 538, 1158, 4123, 543, 602, 519, 13814, 568, 606, 1271, 23784, 547, 519, 1158, 18666, 538, 891, 2472, 269, 634, 2472, 602, 1039, 1034, 1871, 547, 519, 2698, 10656, 13143, 9588, 1498, 267, 798, 711, 4866, 547, 891, 1614, 13421, 269, 1452, 616, 2472, 899, 5122, 12227, 543, 5604, 6191, 269, 634, 1249, 602, 519, 1271, 2472, 856, 540, 519, 10656, 3084, 13143, 268, 11127, 616, 1114, 982, 519, 2472, 609, 799, 519, 13814, 30193, 3294, 538, 2474, 540, 13354, 5413, 538, 1158, 4123, 568, 6045, 676, 519, 1909, 540, 519, 13814, 607, 513, 18302, 2823, 585, 2342, 892, 630, 17471, 5314, 543, 519, 10656, 19004, 267, 476, 1220, 278, 1040, 634, 1448, 594, 4941, 547, 1118, 609, 602, 10839, 729, 602, 1256, 1498, 513, 2197, 568, 2219, 547, 581, 2442, 585, 835, 1587, 1522, 711, 581, 741, 3003, 13354, 5413, 269, 1280, 519, 13814, 547, 581, 1164, 538, 13354, 5413, 538, 5122, 12227, 543, 5604, 6191, 789, 723, 547, 723, 513, 1360, 3810, 9952, 4074, 3196, 269, 634, 2029, 540, 519, 13814, 4422, 1259, 1394, 267, 789, 723, 1044, 1210, 2842, 332, 1571, 585, 1216, 543, 3484, 946, 585, 1082, 1296, 563, 17780, 593, 13354, 5413, 594, 1131, 2303, 602, 519, 13814, 20647, 538, 519, 8768, 2872, 267, 10381, 543, 3165, 2872, 267, 543, 519, 2842, 17524, 2872, 269, 594, 1500, 891, 10372, 1317, 789, 616, 1634, 585, 741, 5810, 269, 4438, 1978, 2053, 540, 519, 1032, 789, 723, 4610, 540, 32482, 2354, 543, 568, 513, 2527, 16073, 540, 15620, 269, 901, 786, 2285, 873, 519, 5413, 936, 824, 2477, 1317, 972, 616, 5961, 540, 519, 32482, 760, 4610, 543, 3592, 782, 6800, 917, 540, 741, 5810, 269, 3733, 19583, 585, 519, 8768, 2872, 568, 2907, 538, 946, 1317, 789, 723, 1044, 21751, 538, 602, 585, 1659, 327, 850, 269, 8921, 594, 6700, 519, 10381, 543, 3165, 2872, 269, 594, 2303, 713, 1317, 789, 616, 1634, 585, 741, 10381, 269, 1403, 596, 24440, 968, 323, 8553, 10381, 892, 596, 786, 1205, 1344, 827, 741, 10381, 2344, 1572, 968, 2704, 330, 2742, 541, 4258, 3150, 10369, 892, 799, 568, 513, 5458, 10381, 2344, 1141, 1004, 666, 19915, 593, 519, 10381, 540, 741, 3903, 269, 12551, 616, 849, 7986, 538, 519, 13814, 607, 789, 616, 1318, 676, 519, 4262, 269, 1403, 596, 2479, 1205, 519, 4960, 547, 979, 547, 519, 13814, 596, 786, 581, 27086, 693, 782, 519, 3165, 7047, 338, 602, 616, 1472, 9513, 4195, 3165, 269, 634, 2376, 594, 1224, 4505, 7150, 602, 789, 2907, 20647, 538, 519, 1426, 2872, 855, 1705, 711, 4481, 1862, 0, 3086, 950, 1034, 1004, 1589, 540, 519, 4098, 540, 8301, 10916, 267, 789, 616, 811, 982, 2693, 896, 519, 13429, 602, 7338, 32525, 729, 519, 1101, 1268, 547, 563, 1103, 476, 6942, 278, 267, 7338, 32525, 11827, 519, 13093, 1748, 543, 585, 519, 1101, 942, 2479, 267, 1004, 1223, 2594, 3280, 267, 4688, 621, 267, 1287, 6432, 547, 621, 2663, 693, 1776, 942, 543, 1747, 563, 1839, 4119, 476, 1001, 278, 269, 476, 277, 267, 476, 6942, 278, 267, 585, 519, 1101, 942, 2479, 267, 519, 9976, 1913, 941, 4862, 711, 689, 513, 1480, 5023, 267, 855, 689, 513, 3280, 10916, 269, 7338, 32525, 781, 563, 763, 3735, 31611, 24261, 779, 524, 5407, 23026, 13355, 12092, 540, 7338, 32525, 5956, 269, 945, 5249, 7258, 32525, 13087, 1864, 547, 563, 4415, 519, 4947, 540, 519, 13093, 1748, 267, 1498, 267, 711, 782, 602, 1454, 811, 982, 1175, 513, 2582, 2540, 3516, 267, 630, 24171, 32525, 1101, 3323, 10916, 3280, 538, 476, 6942, 278, 264, 519, 2898, 1158, 4957, 281, 4658, 1223, 1631, 1832, 563, 305, 664, 11312, 4132, 5516, 16594, 11202, 1108, 476, 278, 267, 476, 14631, 10844, 267, 31727, 12706, 619, 585, 5753, 267, 20941, 267, 17588, 343, 8556, 13577, 13505, 267, 8556, 13577, 8433, 267, 5616, 10934, 13017, 267, 476, 28766, 276, 5101, 7066, 23992, 22971, 267, 476, 273, 526, 269, 476, 7830, 267, 476, 9610, 4649, 272, 267, 25674, 5516, 744, 307, 267, 25280, 267, 590, 10861, 267, 12813, 9448, 267, 25674, 5516, 454, 1607, 942, 267, 621, 4992, 899, 1352, 779, 2469, 547, 581, 606, 24343, 547, 14844, 26474, 269, 634, 18023, 528, 568, 10416, 513, 834, 12704, 2006, 257, 543, 267, 3494, 621, 610, 563, 290, 13585, 8606, 916, 685, 1715, 5729, 779, 4303, 13739, 540, 27692, 27050, 26684, 339, 281, 634, 14675, 540, 3733, 20429, 6534, 1101, 6066, 13588, 547, 835, 540, 519, 1655, 563, 3080, 540, 519, 1034, 4583, 543, 30508, 31132, 540, 782, 942, 267, 7338, 269, 32525, 6410, 547, 11785, 1141, 646, 5249, 538, 519, 5375, 563, 11947, 7779, 3059, 19827, 593, 11741, 25923, 269, 7338, 32525, 769, 519, 4098, 621, 729, 782, 7338, 32525, 779, 3257, 950, 646, 563, 2005, 779, 2693, 891, 19827, 723, 7283, 269, 519, 5736, 779, 12021, 10509, 5707, 753, 281, 2443, 24171, 32525, 543, 12138, 24023, 13852, 563, 8624, 548, 2471, 2060, 16594, 11202, 1108, 7201, 12392, 15789, 834, 763, 5692, 540, 519, 4972, 540, 16594, 11202, 1108, 543, 10748, 5735, 568, 547, 1683, 15938, 267, 4487, 779, 543, 25719, 3292, 602, 4161, 519, 2875, 547, 269, 11882, 814, 513, 2039, 540, 3506, 602, 454, 2764, 4239, 476, 1001, 280, 269, 7338, 32525, 729, 2907, 1134, 1634, 676, 519, 942, 646, 3501, 539, 519, 269, 898, 568, 2693, 7064, 547, 873, 602, 519, 1101, 8301, 10916, 2479, 1500, 2676, 24841, 344, 8381, 327, 718, 630, 310, 310, 2567, 10435, 31515, 568, 707, 1101, 269, 2504, 3280, 10916, 267, 547, 556, 29627, 1800, 11544, 269, 1809, 713, 568, 519, 2267, 343, 563, 763, 7420, 281, 16680, 513, 14675, 610, 20429, 269, 8525, 281, 476, 272, 476, 273, 269, 14675, 568, 6394, 676, 513, 18057, 602, 568, 7923, 547, 513, 29690, 269, 634, 3280, 269, 7338, 32525, 781, 1912, 517, 1748, 563, 12988, 538, 476, 6942, 279, 267, 16172, 1310, 646, 1185, 11827, 519, 13093, 1748, 267, 7338, 32525, 5734, 2390, 269, 855, 31919, 20827, 3280, 563, 763, 5072, 540, 519, 10916, 18638, 979, 1394, 547, 476, 866, 628, 10601, 31132, 971, 607, 7338, 32525, 543, 12138, 24023, 269, 5845, 563, 24171, 32525, 729, 606, 23266, 543, 513, 1397, 2006, 269, 769, 476, 6942, 278, 267, 32525, 11827, 519, 13093, 1748, 585, 10916, 543, 556, 2452, 532, 3280, 563, 7628, 519, 4832, 540, 476, 6942, 278, 267, 7338, 32525, 543, 1010, 5234, 693, 519, 9093, 5979, 5244, 269, 32525, 781, 3310, 5921, 602, 3280, 10916, 6410, 689, 1373, 513, 8047, 269, 634, 1101, 1906, 5756, 540, 10916, 2029, 4718, 1082, 1114, 8942, 547, 563, 280, 4455, 476, 1001, 278, 269, 634, 3943, 3280, 10916, 22082, 27878, 323, 537, 731, 6441, 2946, 517, 8845, 632, 9410, 6807, 2760, 4397, 1010, 5439, 547, 581, 5129, 1394, 267, 855, 3744, 1336, 513, 563, 10955, 2581, 781, 20570, 1107, 7338, 32525, 781, 6602, 540, 3280, 10916, 729, 513, 269, 32525, 2813, 1010, 1101, 5639, 10916, 676, 22551, 532, 519, 1913, 547, 834, 27746, 1185, 513, 2370, 563, 763, 8798, 540, 519, 13093, 1748, 568, 3622, 20295, 547, 7338, 32525, 630, 6942, 278, 1040, 513, 2847, 6295, 12718, 267, 713, 2968, 519, 1101, 3926, 547, 1404, 1394, 6592, 3280, 563, 15900, 3778, 282, 7338, 32525, 781, 769, 3685, 282, 5589, 1800, 543, 29892, 16319, 282, 13724, 906, 3414, 5384, 269, 634, 1646, 540, 2881, 660, 1963, 543, 2594, 5716, 814, 563, 277, 5463, 476, 1001, 279, 269, 14675, 2201, 256, 2201, 5412, 476, 277, 267, 476, 6942, 278, 7338, 32525, 9903, 730, 519, 1101, 10916, 646, 2479, 1500, 593, 519, 13093, 1748, 540, 1864, 973, 1746, 834, 27746, 16874, 513, 563, 1240, 3967, 476, 1001, 279, 269, 1879, 7338, 32525, 5747, 538, 476, 4350, 272, 267, 693, 476, 10019, 267, 646, 4371, 5176, 476, 272, 267, 1911, 24977, 538, 269, 593, 476, 866, 5988, 476, 6942, 279, 267, 585, 519, 1101, 268, 1197, 1259, 547, 5873, 6592, 3280, 563, 18439, 7216, 14675, 16680, 902, 540, 9721, 12465, 8535, 693, 8668, 7246, 269, 634, 8798, 538, 476, 6942, 278, 540, 519, 1977, 7338, 32525, 267, 713, 3898, 6964, 513, 12718, 563, 2918, 4239, 476, 1001, 273, 269, 1548, 729, 519, 1101, 3280, 10916, 27085, 693, 513, 17431, 540, 7338, 32525, 781, 28448, 11827, 13093, 1748, 593, 4873, 476, 2420, 267, 476, 6942, 279, 267, 538, 853, 269, 8402, 563, 24171, 281, 5213, 1406, 2247, 519, 2656, 1394, 5346, 585, 32525, 269, 1261, 729, 538, 602, 7168, 2178, 1106, 5198, 4465, 269, 13201, 4693, 1194, 1134, 543, 713, 7552, 17015, 1101, 5346, 267, 1247, 595, 22055, 539, 20660, 568, 3514, 614, 269, 808, 4069, 281, 6733, 338, 930, 1142, 17574, 563, 1607, 512, 8882, 11798, 13093, 1748, 568, 4686, 1383, 540, 835, 540, 519, 9998, 3280, 10916, 543, 1404, 3724, 6191, 269, 634, 13093, 1748, 729, 11827, 676, 7338, 32525, 538, 563, 3719, 609, 519, 948, 540, 7338, 32525, 1346, 6505, 2093, 5828, 269, 28834, 6941, 602, 1991, 547, 519, 476, 866, 628, 2540, 2676, 24171, 32525, 11473, 9365, 918, 4338, 3201, 308, 288, 267, 31254, 1107, 3807, 514, 7338, 4465, 519, 13329, 787, 12875, 24842, 540, 29073, 267, 543, 646, 1869, 3085, 1406, 917, 875, 269, 1261, 4503, 513, 1079, 6879, 582, 1291, 269, 12243, 4516, 4465, 4154, 693, 519, 476, 1708, 271, 2622, 454, 3891, 11827, 519, 13093, 1748, 543, 513, 3984, 540, 824, 3280, 3457, 602, 4547, 6592, 9739, 543, 2575, 883, 2713, 11623, 543, 14557, 655, 553, 269, 14755, 1346, 15040, 18517, 267, 32525, 729, 3743, 585, 2676, 1789, 3967, 476, 1001, 278, 269, 17421, 281, 6673, 17421, 12231, 621, 267, 8575, 652, 549, 281, 7216, 3280, 10916, 16941, 593, 519, 269, 543, 1404, 3724, 2029, 729, 10660, 1229, 676, 7338, 32525, 538, 476, 6942, 278, 563, 1724, 9947, 476, 1001, 275, 269, 630, 6524, 602, 267, 3173, 5156, 513, 10916, 540, 7338, 32525, 1185, 269, 834, 5445, 1572, 621, 16843, 2894, 292, 1317, 519, 1101, 10916, 789, 1705, 606, 3239, 540, 563, 297, 518, 787, 29336, 10247, 267, 476, 4037, 267, 1101, 2275, 718, 14941, 1067, 543, 851, 540, 519, 968, 301, 1662, 6807, 19949, 2223, 5280, 1711, 519, 26298, 1744, 334, 1023, 3280, 267, 6592, 593, 563, 763, 14330, 308, 779, 4528, 540, 519, 1915, 786, 581, 1776, 4563, 654, 573, 578, 543, 1247, 621, 4992, 899, 1352, 3580, 581, 606, 24343, 269, 634, 18023, 528, 568, 563, 763, 1101, 19827, 540, 23197, 4992, 941, 14360, 5196, 17689, 3109, 539, 1957, 282, 269, 7338, 32525, 267, 8176, 15506, 3832, 3271, 267, 543, 519, 27062, 29175, 730, 21805, 563, 24375, 940, 1010, 4876, 693, 1101, 623, 956, 8124, 22997, 543, 269, 2986, 519, 623, 626, 11169, 685, 7886, 267, 12313, 5143, 14675, 2201, 14675, 538, 476, 1220, 275, 602, 563, 5575, 649, 1185, 1010, 3210, 540, 968, 4692, 828, 571, 19389, 685, 685, 547, 2057, 269, 1352, 779, 6157, 606, 4274, 538, 20585, 269, 634, 7338, 32525, 1769, 15941, 563, 10387, 2742, 18548, 2280, 2968, 519, 12142, 7338, 13985, 21590, 6690, 14912, 1982, 779, 4876, 18176, 6205, 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, 7689, 281, 12113, 7695, 543, 28066, 2657, 910, 14886, 585, 513, 16200, 10610, 2439, 5970, 596, 2479, 4862, 540, 18506, 267, 4584, 956, 267, 10487, 17064, 571, 583, 267, 610, 11877, 323, 965, 3694, 286, 1452, 616, 1175, 930, 8949, 3536, 602, 723, 22734, 18829, 1107, 513, 1184, 1141, 7874, 4551, 6460, 14836, 883, 7408, 267, 9362, 267, 610, 4568, 256, 4653, 649, 3513, 2263, 875, 25496, 3536, 666, 948, 938, 8937, 630, 1492, 15993, 8220, 938, 5023, 547, 938, 5377, 264, 3251, 2635, 267, 5329, 721, 2178, 543, 4712, 585, 1022, 7045, 256, 1924, 10544, 707, 3206, 11503, 543, 1577, 781, 1205, 3323, 2439, 1262, 3963, 798, 3425, 7542, 618, 1426, 15140, 10144, 723, 1044, 7542, 13586, 1426, 585, 5215, 540, 1296, 256, 7043, 1354, 14023, 2209, 941, 11827, 267, 11570, 1031, 18829, 547, 8190, 741, 1426, 543, 1832, 621, 2922, 547, 3548, 269, 3502, 1152, 1281, 18829, 8831, 513, 1426, 781, 15808, 1272, 267, 855, 1346, 5363, 4551, 1711, 1007, 10366, 543, 18282, 1932, 269, 962, 636, 2439, 1262, 1692, 798, 1434, 4551, 4324, 1250, 1560, 15140, 5978, 4703, 2270, 959, 650, 687, 540, 6263, 2713, 7103, 1572, 17973, 267, 1034, 540, 799, 2661, 538, 938, 8937, 269, 3509, 540, 891, 2370, 1814, 1562, 616, 6225, 4551, 1634, 607, 22763, 269, 1358, 5351, 12536, 676, 8840, 1524, 1950, 11950, 267, 3132, 8324, 899, 645, 543, 918, 267, 543, 1256, 2149, 1996, 5739, 17900, 269, 589, 7059, 5117, 540, 891, 1434, 12961, 2337, 7794, 938, 4761, 1062, 543, 8952, 938, 3003, 1560, 8647, 693, 922, 1655, 2439, 1262, 1432, 781, 519, 3095, 1063, 18829, 543, 8937, 1072, 15140, 2691, 649, 8532, 25496, 3536, 267, 649, 849, 1491, 538, 1346, 9735, 32714, 4551, 269, 1306, 789, 2951, 998, 938, 9667, 8778, 267, 789, 25579, 880, 543, 2226, 3666, 1369, 938, 4540, 9190, 2146, 269, 8414, 8937, 14609, 625, 1611, 1732, 8770, 10338, 267, 4824, 7099, 267, 20501, 2960, 267, 7864, 6084, 3240, 13542, 267, 543, 2949, 6099, 9716, 2439, 1262, 4131, 781, 2119, 7542, 13586, 1945, 256, 4373, 2791, 1810, 1405, 991, 16681, 3937, 610, 2027, 1983, 547, 1376, 7542, 13586, 282, 1934, 781, 513, 2241, 11600, 585, 1818, 18506, 693, 1753, 1384, 265, 28808, 19263, 17041, 454, 268, 476, 275, 11680, 2898, 5144, 630, 2181, 2536, 2406, 5214, 543, 1875, 3620, 558, 4094, 1242, 994, 268, 476, 274, 26486, 10750, 18506, 609, 3742, 4529, 630, 9767, 666, 4444, 713, 693, 519, 4558, 256, 2020, 265, 3721, 338, 17041, 454, 272, 269, 24953, 519, 5144, 9900, 2394, 621, 10301, 827, 476, 12893, 13790, 630, 5379, 9180, 1040, 2142, 6297, 711, 547, 14974, 621, 256, 1411, 1616, 3636, 267, 6126, 5144, 267, 711, 14220, 267, 9470, 3429, 5144, 563, 273, 269, 17179, 519, 1494, 689, 3002, 543, 3575, 538, 519, 476, 274, 512, 26138, 540, 18506, 25690, 269, 853, 597, 1134, 563, 274, 269, 32449, 7848, 883, 2973, 4837, 11149, 630, 3697, 544, 1783, 30660, 1070, 3382, 873, 29101, 609, 12308, 610, 5068, 16833, 267, 543, 1747, 12341, 18241, 2943, 8908, 6954, 267, 23679, 1472, 476, 1911, 1700, 8099, 13790, 630, 4343, 1700, 6246, 9180, 28931, 534, 5828, 11325, 14089, 609, 513, 12681, 1769, 610, 513, 8337, 2721, 518, 960, 1390, 2336, 275, 269, 2913, 1694, 3768, 626, 32328, 585, 476, 279, 268, 1321, 3108, 1247, 519, 9059, 4523, 256, 30850, 267, 1402, 621, 538, 519, 26806, 547, 28306, 543, 5394, 523, 909, 269, 2659, 19471, 18506, 786, 2063, 1472, 1079, 4374, 950, 6740, 5265, 269, 17949, 2439, 1262, 8448, 25496, 2828, 16001, 3086, 602, 596, 4312, 1500, 18506, 267, 1946, 711, 2285, 824, 25496, 1642, 2074, 513, 627, 20071, 286, 8347, 707, 1688, 693, 4584, 1782, 31480, 267, 17436, 267, 610, 2234, 8460, 1210, 16693, 1490, 710, 610, 513, 6070, 4248, 3070, 269, 2107, 6148, 4739, 930, 8126, 344, 737, 4861, 1276, 320, 7401, 610, 1216, 1183, 325, 597, 14614, 269, 2060, 2259, 267, 9639, 267, 543, 7279, 267, 596, 1522, 1831, 3833, 519, 2370, 7542, 618, 16695, 2439, 3383, 972, 596, 723, 621, 1107, 519, 8748, 1158, 540, 18829, 543, 8937, 1072, 6045, 2523, 585, 8049, 8186, 899, 16523, 269, 8921, 942, 596, 2972, 513, 11116, 540, 18506, 267, 4584, 548, 267, 610, 11877, 323, 965, 3694, 267, 3314, 602, 596, 2811, 3257, 13300, 585, 707, 1560, 676, 16138, 5109, 1346, 2182, 11529, 4551, 3330, 596, 269, 12844, 813, 18863, 527, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 20826, 476, 1704, 267, 476, 1001, 278, 1635, 2274, 22828, 966, 690, 601, 5412, 476, 866, 267, 476, 1001, 279, 454, 11328, 1613, 609, 966, 643, 3821, 9093, 1122, 1794, 267, 10004, 1154, 827, 11178, 1072, 267, 4191, 540, 11178, 10638, 267, 11178, 22475, 267, 7132, 29829, 3268, 547, 1489, 707, 11178, 609, 9360, 543, 513, 9168, 29145, 2732, 267, 543, 865, 1454, 811, 563, 15919, 594, 2097, 2066, 513, 5763, 540, 1344, 689, 513, 2707, 945, 568, 865, 5863, 602, 594, 1265, 8885, 16462, 547, 2671, 602, 1344, 936, 543, 936, 547, 3914, 607, 1082, 1004, 607, 2009, 269, 2334, 779, 4010, 1018, 779, 2469, 593, 609, 2221, 779, 16823, 267, 945, 568, 4687, 1200, 5763, 540, 1702, 593, 782, 1919, 8946, 312, 4629, 2839, 269, 901, 12558, 568, 513, 631, 19851, 6432, 2336, 2005, 666, 581, 2731, 11566, 547, 4685, 538, 513, 1888, 602, 9775, 865, 1454, 689, 1268, 547, 1268, 267, 855, 1018, 594, 2648, 827, 713, 5967, 609, 966, 643, 3821, 568, 602, 1352, 9397, 3388, 1524, 538, 513, 1259, 602, 7959, 19242, 609, 4052, 5796, 602, 1568, 585, 3025, 269, 19737, 707, 11178, 1072, 666, 3100, 25254, 267, 855, 609, 966, 643, 3821, 779, 4388, 267, 596, 666, 1020, 513, 1544, 543, 20688, 621, 547, 3514, 707, 2123, 1995, 563, 1103, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 293, 518, 7695, 543, 28066, 2657, 257, 607, 851, 540, 834, 4047, 22483, 1299, 32362, 1315, 10791, 1299, 12594, 1315, 5253, 12474, 20929, 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, 6637, 476, 1015, 281, 14171, 5516, 540, 3776, 18461, 902, 910, 19737, 4911, 518, 609, 24238, 692, 5970, 596, 2479, 5433, 2731, 14834, 827, 1945, 286, 9320, 621, 729, 950, 707, 2370, 7015, 610, 11078, 3190, 539, 909, 707, 5172, 11442, 267, 610, 950, 596, 4769, 1405, 1205, 13603, 585, 519, 14912, 2319, 269, 1879, 649, 1745, 14220, 267, 621, 666, 3006, 581, 2182, 547, 1852, 938, 3527, 543, 1913, 269, 1809, 1018, 952, 972, 729, 513, 1259, 547, 9350, 1524, 1354, 32232, 286, 2334, 781, 1141, 11009, 2501, 538, 2439, 21790, 6888, 1797, 9878, 3007, 547, 519, 1459, 4090, 1510, 10385, 269, 1411, 1522, 1589, 713, 4992, 2241, 267, 855, 8026, 11009, 666, 2965, 948, 721, 4383, 2178, 4664, 899, 10845, 269, 1635, 2921, 513, 2620, 7362, 543, 2519, 593, 1018, 781, 8345, 1318, 1631, 267, 3079, 540, 3478, 9575, 909, 538, 938, 4555, 543, 4606, 267, 649, 666, 3442, 875, 547, 4431, 2864, 982, 1175, 2746, 780, 4131, 803, 2995, 596, 513, 1650, 827, 8861, 269, 2290, 1554, 693, 12424, 267, 930, 3214, 3323, 751, 2084, 1200, 827, 1200, 1007, 688, 1844, 583, 269, 2311, 1101, 267, 1352, 6836, 547, 11716, 873, 267, 855, 789, 9327, 1405, 3247, 269, 17652, 2614, 267, 8861, 1223, 1745, 9887, 3478, 2587, 8175, 676, 519, 8792, 269, 2701, 4941, 547, 586, 749, 1394, 693, 873, 610, 1256, 5734, 835, 540, 873, 267, 855, 1287, 1352, 15422, 1945, 1200, 13309, 6026, 1200, 910, 547, 2259, 11009, 780, 27880, 6806, 1200, 4064, 543, 3576, 1614, 3500, 267, 2620, 24967, 269, 1306, 1352, 3826, 1117, 538, 267, 1352, 2219, 834, 514, 327, 1446, 2437, 543, 607, 1352, 3826, 1117, 856, 267, 1352, 2219, 834, 1410, 327, 1446, 1701, 901, 5280, 1200, 1445, 593, 1200, 7244, 3079, 540, 1200, 10845, 269, 3973, 267, 1352, 16545, 1200, 4555, 543, 4606, 941, 12269, 8429, 676, 538, 519, 6607, 269, 5502, 540, 1178, 25290, 5196, 1346, 14220, 12269, 267, 1352, 1577, 873, 10581, 2476, 269, 2991, 513, 1906, 8090, 267, 8861, 8118, 1200, 4064, 543, 7691, 1352, 1100, 3476, 5433, 865, 14220, 780, 3086, 267, 4952, 596, 2811, 538, 513, 2147, 3510, 269, 25126, 814, 1500, 596, 2731, 13347, 267, 543, 596, 1616, 547, 561, 1662, 856, 269, 6969, 3257, 4376, 267, 2119, 891, 3268, 1384, 272, 269, 17547, 8726, 596, 2811, 3257, 269, 6875, 513, 2736, 689, 519, 3510, 563, 273, 269, 19171, 707, 4064, 630, 604, 621, 7959, 2922, 264, 543, 1491, 1614, 2620, 24967, 269, 22165, 515, 538, 7444, 998, 707, 9224, 267, 3180, 621, 585, 513, 2034, 267, 543, 13236, 856, 998, 707, 5023, 563, 274, 269, 5994, 707, 4555, 543, 4606, 607, 12269, 13735, 676, 538, 519, 6607, 269, 13772, 873, 2097, 543, 979, 1510, 8066, 5196, 1022, 540, 873, 563, 275, 269, 7046, 707, 4064, 543, 5469, 875, 596, 1745, 269, 16593, 2685, 267, 596, 786, 1265, 602, 596, 1745, 1608, 1067, 543, 811, 538, 1852, 780, 8855, 267, 5883, 10845, 3884, 1405, 827, 5910, 2056, 596, 2760, 1205, 14220, 282, 621, 781, 827, 1565, 2635, 2081, 547, 11883, 609, 2178, 4664, 269, 28552, 11009, 568, 1175, 835, 1907, 596, 666, 946, 547, 1832, 707, 3579, 269, 1656, 3314, 267, 3025, 4991, 14220, 3006, 1107, 1256, 4079, 269, 634, 1271, 3364, 568, 6616, 875, 547, 6023, 621, 780, 12244, 281, 2913, 781, 6657, 8625, 2439, 8340, 513, 9602, 5544, 1141, 596, 666, 1694, 20354, 609, 707, 4064, 6806, 269, 5620, 2576, 1224, 519, 1739, 5528, 16965, 1247, 596, 1246, 2059, 1384, 272, 269, 4855, 513, 6899, 2990, 9361, 610, 14084, 1524, 269, 8347, 547, 6001, 707, 1560, 563, 273, 269, 3399, 676, 8744, 4656, 547, 707, 7362, 269, 18564, 519, 2067, 11733, 540, 707, 32480, 543, 608, 15595, 566, 269, 5213, 1405, 1689, 621, 1107, 1175, 7747, 563, 274, 269, 1403, 707, 2247, 6238, 29595, 267, 9900, 3142, 707, 1445, 1394, 547, 707, 7362, 563, 275, 269, 3767, 267, 4605, 513, 6531, 538, 707, 2247, 269, 6423, 621, 1743, 14823, 2066, 519, 4544, 6607, 563, 276, 269, 9255, 513, 2219, 610, 4743, 593, 519, 6531, 543, 4585, 621, 20847, 2476, 269, 15566, 11093, 4555, 543, 4606, 593, 12269, 2394, 596, 2196, 856, 563, 277, 269, 7053, 267, 2132, 707, 3007, 547, 707, 7362, 269, 20405, 569, 1930, 707, 4064, 950, 596, 2811, 4712, 780, 23558, 256, 1411, 1175, 13736, 11009, 256, 5901, 8026, 1169, 1554, 267, 543, 4166, 2614, 267, 7829, 9157, 3871, 609, 11419, 543, 9639, 786, 1831, 4443, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 296, 993, 513, 13397, 10234, 12333, 11916, 21835, 528, 543, 594, 8275, 602, 5275, 948, 949, 711, 581, 2653, 267, 2436, 596, 616, 1175, 4098, 610, 11173, 707, 9354, 3460, 269, 16480, 267, 5275, 948, 568, 513, 3532, 543, 29752, 1900, 547, 1491, 543, 1250, 3804, 568, 547, 581, 707, 3391, 267, 1683, 513, 2922, 267, 6899, 267, 543, 1875, 268, 9080, 8540, 531, 1747, 585, 596, 547, 2769, 3054, 563, 7437, 856, 1250, 4791, 4876, 267, 594, 723, 5249, 609, 7218, 609, 513, 2647, 2039, 540, 4145, 585, 519, 2250, 476, 276, 1296, 1519, 4965, 267, 4160, 267, 2078, 2152, 267, 2566, 2359, 267, 8194, 267, 1920, 543, 15970, 454, 296, 1935, 3797, 689, 32687, 2963, 2861, 2553, 1519, 5042, 15515, 24173, 3797, 267, 1268, 19721, 267, 11009, 267, 30973, 5967, 532, 267, 543, 3070, 25700, 13508, 563, 296, 993, 13730, 543, 8149, 547, 7674, 12790, 543, 896, 1606, 5703, 2950, 269, 594, 11441, 547, 1683, 15520, 6213, 267, 26003, 545, 267, 543, 11215, 9354, 1604, 1141, 649, 666, 2263, 543, 13720, 2352, 1272, 21500, 547, 948, 596, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 590, 23852, 29803, 1315, 8682, 5336, 534, 1771, 1315, 4911, 518, 5004, 1315, 24238, 538, 4911, 518, 5004, 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 ]
[ 276, 3162, 3557, 9335, 269, 9995, 344, 267, 29031, 476, 279, 2412, 3583, 454, 303, 6372, 4325, 5474, 12989, 912, 8266, 539, 22843, 1227, 676, 7831, 8745, 269, 4325, 5474, 949, 1689, 693, 1022, 942, 563, 20755, 17566, 26036, 7171, 267, 12429, 267, 8191, 267, 27748, 1108, 16869, 454, 20755, 17566, 568, 1101, 543, 19466, 513, 4651, 540, 3670, 1453, 543, 9310, 547, 519, 2648, 540, 1010, 1272, 15576, 344, 7788, 5839, 6635, 11037, 269, 14780, 2213, 543, 5030, 1472, 519, 2475, 7836, 1647, 543, 4400, 1153, 1296, 538, 5455, 8063, 1715, 3840, 269, 594, 3314, 1134, 22742, 607, 513, 7911, 1085, 719, 593, 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, 20245, 2920, 13659, 543, 11094, 257, 607, 851, 540, 834, 28765, 22723, 13493, 1315, 23874, 1299, 13491, 20445, 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, 606, 3078, 3460, 998, 942, 543, 6283, 256, 4653, 267, 649, 2811, 2469, 547, 1451, 827, 1945, 1572, 834, 560, 22901, 322, 1513, 2437, 799, 941, 513, 2442, 1259, 585, 1004, 547, 1205, 1472, 4872, 1082, 1296, 3516, 269, 1284, 3513, 849, 2263, 875, 789, 1522, 2132, 547, 835, 1880, 851, 540, 27925, 267, 14151, 1107, 513, 1747, 1572, 13722, 9835, 22971, 269, 1924, 31617, 909, 267, 543, 1577, 781, 4685, 883, 930, 3140, 1187, 2439, 5331, 596, 5030, 1279, 3516, 950, 6517, 4769, 1405, 2291, 269, 1215, 1131, 596, 2951, 2066, 4884, 286, 1411, 1223, 3802, 610, 11878, 513, 7504, 267, 855, 1346, 15143, 1131, 1491, 11014, 256, 2334, 781, 1946, 4872, 2919, 2027, 6472, 602, 10443, 2059, 986, 2812, 11251, 538, 10754, 9789, 572, 616, 1018, 649, 1289, 8265, 322, 1513, 256, 1358, 5249, 899, 9910, 14884, 267, 4543, 11570, 979, 4025, 3533, 543, 3362, 269, 9578, 267, 8265, 322, 1513, 1185, 2511, 282, 1589, 10477, 6272, 267, 17715, 1286, 17699, 267, 543, 1256, 1930, 25101, 22908, 1282, 4832, 5503, 780, 3086, 4605, 3054, 538, 22337, 660, 1144, 27925, 1394, 538, 922, 2038, 2395, 269, 1703, 729, 513, 14297, 1292, 4155, 3957, 9835, 22971, 267, 15198, 856, 2509, 824, 10034, 899, 3794, 754, 1446, 267, 3212, 18319, 267, 6129, 4975, 267, 654, 1157, 29118, 267, 543, 5555, 8757, 20098, 30988, 1932, 256, 1306, 596, 588, 2651, 1524, 13722, 9835, 630, 7474, 781, 519, 1101, 13304, 14191, 547, 519, 2295, 540, 27925, 1070, 621, 7959, 1114, 982, 824, 2694, 540, 519, 2749, 269, 898, 814, 513, 3579, 642, 32079, 609, 2189, 15945, 267, 14060, 267, 543, 5656, 16298, 1312, 5011, 540, 519, 8265, 269, 16319, 7168, 16517, 267, 1318, 2496, 24137, 4464, 547, 2221, 267, 543, 938, 3659, 13722, 9835, 3884, 1405, 3833, 519, 1482, 15042, 269, 2368, 9634, 723, 4957, 610, 6806, 1524, 267, 1818, 621, 1447, 4277, 585, 8436, 269, 1809, 7058, 1018, 286, 589, 1895, 540, 1004, 945, 2648, 27925, 781, 1686, 6499, 547, 3142, 1394, 519, 1434, 2025, 2395, 676, 19620, 513, 4062, 540, 519, 3312, 8265, 8364, 1899, 593, 13722, 9835, 22971, 256, 1635, 3257, 865, 267, 789, 4126, 547, 3035, 1614, 15813, 1919, 1384, 272, 269, 2878, 30356, 4860, 1388, 1436, 4995, 1879, 811, 1004, 2097, 547, 3643, 13722, 9835, 1317, 540, 519, 1007, 8265, 8364, 267, 4213, 949, 1376, 6679, 1586, 267, 2870, 6009, 543, 20993, 519, 2199, 4346, 563, 273, 269, 2878, 7343, 21090, 585, 3778, 4995, 8479, 518, 5481, 666, 1995, 1018, 1272, 729, 899, 1354, 26873, 3576, 936, 267, 1565, 3407, 4245, 827, 5647, 543, 9542, 2429, 1686, 563, 274, 269, 2878, 28874, 12532, 1464, 4995, 18964, 19516, 20379, 547, 2972, 741, 10450, 2337, 1628, 6793, 2950, 1247, 5009, 13476, 7874, 2853, 780, 3674, 333, 1405, 621, 5863, 875, 1454, 1764, 513, 2582, 2856, 666, 723, 286, 1403, 3388, 4422, 2687, 547, 1544, 267, 5664, 3427, 619, 899, 596, 1522, 5577, 20829, 891, 21305, 8265, 322, 1513, 14693, 4166, 267, 7680, 513, 20105, 540, 27925, 781, 2250, 1247, 11981, 513, 22928, 7154, 540, 3560, 269, 14348, 333, 1405, 602, 581, 606, 20605, 2361, 7552, 2496, 3383, 972, 596, 723, 621, 910, 707, 4367, 547, 519, 4241, 1158, 540, 8265, 322, 1513, 543, 519, 1761, 32193, 540, 835, 971, 1062, 1934, 538, 13566, 27925, 269, 5808, 6487, 1018, 824, 6456, 21889, 689, 938, 7104, 2250, 24098, 2699, 18752, 286, 5901, 3695, 267, 3251, 8049, 267, 543, 3314, 602, 3006, 3168, 18807, 666, 948, 4412, 601, 721, 4464, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 9835, 22971, 12565, 5741, 786, 798, 782, 713, 543, 811, 269, 717, 2752, 303, 568, 513, 18758, 3919, 6131, 547, 519, 11808, 540, 606, 8978, 8265, 8364, 1899, 593, 2539, 9835, 22971, 607, 519, 1101, 5123, 540, 513, 3102, 2413, 8265, 8364, 1062, 1472, 25708, 27925, 269, 634, 1788, 568, 5497, 547, 3895, 2804, 26016, 1436, 540, 519, 1858, 267, 606, 7071, 585, 27925, 779, 1686, 267, 543, 1489, 513, 3802, 762, 4683, 6197, 538, 519, 3844, 2749, 563, 3725, 341, 1388, 1944, 13722, 9835, 22971, 454, 299, 1077, 9835, 22971, 568, 513, 2189, 5010, 14816, 538, 25708, 27925, 269, 9835, 22971, 24865, 693, 519, 10167, 540, 476, 278, 628, 22971, 543, 11709, 645, 675, 333, 9335, 267, 543, 11912, 25241, 958, 4724, 519, 22070, 2066, 519, 4683, 7470, 547, 3794, 754, 1446, 267, 3212, 18319, 267, 6129, 4975, 267, 654, 1157, 29118, 267, 543, 6038, 20098, 30988, 269, 634, 1101, 13304, 540, 9835, 22971, 689, 519, 476, 278, 628, 589, 557, 269, 1299, 11709, 645, 675, 333, 10167, 909, 547, 1141, 3955, 8063, 476, 1015, 22613, 936, 267, 1175, 5087, 540, 519, 476, 1428, 628, 589, 557, 269, 1299, 17619, 853, 269, 10167, 267, 25601, 513, 28031, 5652, 2943, 19514, 4683, 5010, 1745, 269, 901, 1858, 267, 1631, 1634, 607, 13722, 9835, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 12465, 26954, 11310, 630, 15288, 298, 264, 538, 7025, 16424, 692, 7072, 912, 1103, 2221, 781, 1158, 267, 2825, 5464, 814, 1831, 5051, 1271, 1813, 547, 2916, 1689, 267, 7226, 9552, 267, 543, 2530, 540, 9265, 269, 2755, 5375, 3621, 4485, 723, 1044, 8789, 538, 2825, 2359, 543, 5726, 3646, 267, 972, 568, 3395, 6284, 540, 519, 1871, 540, 2757, 8733, 1702, 630, 15288, 298, 264, 4371, 676, 7087, 9082, 269, 23140, 298, 4016, 547, 519, 19017, 1560, 540, 1702, 267, 2853, 267, 543, 4978, 827, 3347, 1063, 2713, 7919, 543, 741, 1604, 267, 799, 568, 5293, 1524, 998, 5481, 3842, 5711, 2245, 543, 8343, 269, 901, 1576, 1770, 786, 2263, 875, 23140, 298, 666, 581, 7471, 883, 2825, 5464, 3292, 267, 1210, 519, 1383, 540, 519, 7813, 4210, 9994, 267, 513, 6177, 2249, 693, 1981, 538, 14411, 267, 4516, 780, 4089, 476, 272, 281, 4197, 23140, 298, 543, 922, 25684, 547, 7025, 16424, 692, 265, 9502, 543, 4162, 540, 23140, 298, 454, 265, 8466, 2796, 543, 4644, 540, 23140, 298, 538, 2825, 2359, 454, 265, 7351, 2591, 6849, 23140, 298, 25963, 543, 2081, 547, 1489, 922, 11091, 454, 265, 11588, 540, 10128, 23140, 298, 883, 2825, 5464, 3292, 692, 4089, 476, 273, 281, 8865, 5530, 281, 7813, 4210, 9994, 18401, 15613, 538, 14411, 692, 265, 11137, 540, 519, 7813, 4210, 9994, 2551, 7771, 543, 17609, 896, 519, 29510, 15661, 2920, 267, 476, 1220, 278, 454, 265, 5811, 540, 519, 21621, 6051, 4640, 543, 8446, 540, 2127, 1141, 23140, 298, 1223, 3565, 454, 265, 17564, 540, 1761, 5698, 3255, 1063, 3744, 543, 7087, 2950, 538, 7813, 4210, 9994, 1382, 543, 5464, 454, 265, 22410, 540, 5683, 9270, 543, 3656, 10850, 4478, 1239, 4687, 543, 1071, 31193, 11650, 692, 4089, 476, 274, 281, 19750, 10241, 540, 23140, 298, 538, 7025, 16424, 15789, 692, 265, 6396, 3098, 585, 6220, 23140, 298, 883, 2825, 5464, 1374, 543, 6388, 454, 265, 6201, 540, 3811, 21769, 1063, 7087, 2950, 543, 3173, 538, 824, 22875, 454, 265, 13088, 543, 2200, 2139, 585, 9439, 5461, 538, 7311, 23140, 298, 3741, 538, 741, 960, 454, 265, 11150, 585, 2679, 3972, 543, 5807, 1279, 3856, 12352, 1759, 593, 8994, 2463, 543, 25262, 640, 692, 4089, 476, 275, 281, 8892, 19648, 543, 12694, 692, 265, 24021, 3466, 538, 23140, 298, 543, 2825, 5464, 267, 971, 607, 12504, 2257, 543, 2146, 21445, 7341, 454, 265, 19662, 585, 15834, 1382, 543, 2069, 1472, 23140, 298, 543, 922, 3156, 454, 265, 31875, 547, 6626, 10073, 540, 23140, 298, 538, 13416, 2825, 2359, 543, 2994, 585, 5466, 873, 454, 265, 14506, 593, 519, 1909, 540, 1875, 268, 29378, 16167, 538, 14027, 23140, 298, 5829, 3853, 543, 28160, 1436, 3646, 692, 6962, 912, 763, 5610, 540, 2757, 8733, 1702, 883, 2825, 5464, 3091, 1713, 2640, 585, 1312, 9265, 5726, 543, 1514, 5126, 269, 1635, 9301, 543, 3024, 532, 519, 6791, 540, 7087, 9082, 543, 741, 7418, 547, 938, 7104, 1620, 540, 5117, 6384, 267, 649, 666, 1628, 811, 4264, 543, 12581, 4485, 547, 5883, 2067, 2200, 269, 3414, 2013, 2090, 899, 519, 7813, 4210, 9994, 6051, 4674, 538, 14411, 267, 713, 1576, 1770, 6322, 547, 1683, 4030, 883, 4052, 2409, 585, 2502, 609, 23140, 298, 25963, 543, 3384, 20102, 6225, 12352, 269, 1306, 2104, 4648, 2324, 538, 2029, 543, 4702, 4610, 267, 621, 568, 1898, 547, 1174, 891, 5380, 543, 4019, 873, 547, 1711, 2318, 5222, 538, 938, 2950, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 289, 1678, 4210, 9994, 2229, 3210, 3948, 454, 302, 660, 9222, 779, 3609, 4287, 585, 519, 4027, 543, 6051, 540, 7813, 4210, 9994, 563, 26397, 4266, 281, 4728, 476, 273, 267, 476, 1001, 278, 454, 4002, 713, 2985, 4787, 760, 713, 2985, 12445, 454, 20124, 281, 570, 1014, 3534, 8738, 651, 454, 28406, 532, 543, 23232, 2249, 693, 1981, 538, 14411, 454, 11854, 2886, 693, 1981, 6051, 568, 513, 1883, 851, 540, 7863, 14411, 779, 9265, 269, 634, 29510, 15661, 2920, 267, 476, 1220, 278, 630, 2464, 288, 264, 568, 519, 6554, 540, 14411, 779, 15424, 7029, 547, 7863, 543, 23232, 2249, 693, 1981, 543, 741, 9249, 563, 15152, 519, 30673, 267, 519, 12080, 540, 7849, 8249, 543, 32645, 630, 1492, 12080, 264, 1590, 2327, 602, 513, 6051, 4640, 568, 5423, 585, 1142, 2249, 602, 568, 7396, 607, 13155, 610, 12219, 269, 589, 6051, 4640, 2488, 2257, 2861, 5796, 547, 2229, 593, 1018, 568, 2838, 547, 3035, 6051, 540, 513, 2249, 563, 20751, 8370, 3275, 1310, 513, 6051, 4640, 568, 5423, 267, 519, 30673, 3340, 519, 12080, 547, 15476, 513, 3948, 28388, 519, 2229, 779, 5497, 3527, 543, 14422, 538, 3210, 547, 519, 973, 913, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 25565, 26954, 11310, 630, 15288, 298, 264, 538, 7025, 16424, 257, 607, 851, 540, 834, 31900, 1299, 22957, 1315, 7087, 11310, 1299, 21126, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3046, 1042, 689, 8391, 1010, 26885, 543, 1373, 18931, 607, 513, 4387, 563, 12024, 3220, 7435, 2401, 646, 1185, 547, 1265, 4244, 2081, 540, 18445, 1010, 2564, 28730, 267, 1603, 547, 519, 717, 10157, 538, 476, 3707, 272, 547, 2491, 912, 8072, 5475, 519, 12032, 540, 1010, 4052, 1032, 1169, 4436, 11134, 540, 4915, 568, 8850, 13886, 547, 26821, 4915, 267, 6391, 543, 4571, 342, 604, 2044, 538, 5125, 267, 543, 4991, 513, 1697, 26885, 269, 6014, 10457, 267, 2705, 267, 616, 17792, 513, 26885, 2687, 547, 519, 4550, 11219, 28779, 4031, 269, 2353, 594, 1223, 1205, 607, 513, 6014, 11134, 729, 31218, 713, 15149, 267, 799, 594, 11700, 846, 1586, 538, 519, 3312, 543, 538, 519, 2296, 8144, 267, 602, 5909, 5809, 594, 723, 24009, 519, 10054, 3823, 519, 2259, 540, 519, 2564, 3318, 1369, 519, 4436, 25415, 6306, 689, 519, 6169, 540, 589, 32569, 5169, 563, 8072, 5591, 6014, 11134, 540, 4915, 1705, 1205, 1022, 3561, 18445, 1010, 2048, 1372, 539, 540, 1237, 321, 566, 685, 282, 538, 1249, 713, 729, 3045, 592, 1194, 547, 1346, 6014, 9439, 538, 15896, 540, 621, 267, 607, 621, 5949, 547, 1250, 4651, 267, 945, 1185, 1044, 513, 2864, 1134, 8153, 1453, 779, 11285, 538, 12670, 585, 936, 476, 1789, 1296, 19028, 7804, 17286, 2742, 6182, 6686, 333, 332, 28888, 454, 2171, 1810, 1406, 917, 1454, 827, 3220, 6182, 6686, 333, 332, 28888, 779, 4876, 1991, 547, 1200, 12625, 538, 4789, 267, 855, 649, 798, 917, 602, 1352, 729, 4535, 538, 1018, 568, 1631, 12996, 538, 476, 6245, 277, 543, 3357, 547, 4789, 547, 9101, 519, 13303, 12512, 538, 476, 4350, 280, 563, 7804, 6182, 6686, 333, 332, 28888, 729, 513, 18874, 267, 855, 593, 21945, 538, 4789, 607, 513, 21345, 1185, 547, 6108, 1614, 1296, 2324, 607, 513, 6469, 22700, 538, 5507, 1354, 1352, 729, 2016, 10151, 14261, 593, 476, 279, 4873, 476, 3707, 273, 563, 5629, 10805, 267, 3220, 6182, 6686, 333, 332, 28888, 6410, 547, 3502, 1154, 5069, 543, 729, 6368, 2111, 547, 2322, 1200, 10551, 6791, 883, 2259, 693, 519, 5178, 5112, 17073, 11233, 538, 3502, 1154, 5069, 269, 2701, 12306, 538, 3502, 1154, 5069, 1310, 519, 2112, 267, 543, 7283, 972, 2394, 1200, 2669, 538, 476, 2735, 272, 267, 9907, 476, 5952, 563, 8855, 532, 609, 7064, 454, 763, 717, 10157, 568, 10583, 547, 1491, 513, 4090, 547, 3314, 609, 14696, 519, 7189, 945, 267, 1310, 7092, 813, 16226, 20655, 543, 2530, 896, 519, 12059, 25415, 267, 21378, 741, 2564, 6791, 547, 519, 5177, 693, 513, 942, 540, 11108, 991, 269, 0, 27745, 519, 18206, 540, 519, 595, 19879, 723, 1964, 539, 593, 713, 6149, 538, 2142, 527, 590, 1335, 21983, 286, 3220, 269, 2098, 12858, 27439, 9007, 454, 289, 1043, 268, 5028, 13527, 5853, 14033, 13243, 2904, 2142, 21912, 547, 18206, 540, 519, 595, 19879, 454, 4462, 639, 783, 28973, 20114, 538, 476, 274, 267, 1911, 4458, 6040, 21861, 590, 1335, 21983, 11454, 31061, 13400, 2048, 26171, 6149, 685, 593, 799, 519, 818, 330, 2899, 1964, 539, 267, 11021, 737, 1716, 1564, 540, 1686, 538, 519, 6426, 616, 1454, 4587, 982, 2219, 454, 3528, 589, 21119, 6424, 5463, 476, 1704, 267, 476, 1001, 280, 454, 19425, 2801, 5505, 14155, 908, 513, 476, 274, 267, 1911, 4458, 6040, 11454, 538, 519, 3504, 11175, 540, 21861, 590, 1335, 21983, 267, 2282, 13243, 267, 723, 20114, 606, 8966, 6149, 3349, 602, 552, 518, 1176, 31061, 835, 4330, 538, 519, 6426, 607, 4730, 513, 1909, 538, 519, 1650, 540, 519, 18206, 540, 519, 595, 19879, 563, 763, 1265, 1223, 581, 14648, 1082, 2081, 267, 855, 835, 7872, 568, 602, 519, 3135, 568, 5532, 547, 519, 13400, 2239, 540, 519, 535, 12574, 818, 330, 267, 799, 568, 12926, 5156, 547, 723, 8659, 519, 14342, 540, 519, 14210, 16710, 906, 4607, 676, 15584, 593, 6778, 31291, 328, 563, 22154, 1131, 581, 513, 4686, 2013, 538, 799, 649, 666, 19467, 519, 13400, 2239, 609, 606, 15456, 1265, 2223, 3081, 3220, 269, 2098, 12858, 27439, 9007, 267, 513, 20052, 2997, 643, 2160, 9125, 6048, 945, 5012, 519, 21861, 590, 1335, 21983, 2007, 1927, 609, 1010, 26393, 267, 4515, 269, 1744, 331, 27622, 645, 684, 574, 990, 6308, 563, 2252, 741, 8367, 568, 2953, 1107, 602, 713, 8966, 6149, 3349, 568, 4448, 547, 519, 13400, 1650, 540, 519, 818, 330, 1107, 519, 1265, 1131, 581, 2963, 602, 519, 6426, 3568, 737, 1716, 1564, 540, 3140, 18408, 689, 1454, 4505, 5712, 982, 1034, 4966, 5892, 2219, 269, 0, 1692, 1705, 519, 6149, 2085, 1376, 888, 763, 12942, 6520, 3459, 827, 476, 273, 269, 277, 2929, 1296, 3516, 267, 950, 3173, 1336, 519, 9998, 2963, 540, 3425, 1210, 6149, 2645, 267, 543, 16768, 2394, 827, 476, 274, 267, 4968, 645, 5861, 269, 950, 519, 27705, 6520, 3459, 269, 898, 568, 3335, 7745, 883, 1614, 3982, 5712, 281, 519, 19232, 18070, 11270, 267, 12379, 18070, 11270, 543, 32665, 11270, 563, 8005, 2813, 519, 12942, 6520, 888, 22146, 808, 269, 774, 1682, 523, 454, 8005, 568, 519, 476, 273, 526, 32399, 1268, 538, 519, 1158, 888, 11990, 654, 269, 15541, 534, 454, 1692, 30460, 2052, 3425, 1205, 888, 300, 1446, 281, 476, 276, 269, 277, 10264, 563, 8005, 568, 519, 20125, 1268, 538, 519, 1158, 476, 1708, 271, 888, 8005, 568, 519, 13074, 4807, 538, 1158, 888, 4407, 1352, 568, 711, 519, 1158, 779, 32399, 4807, 267, 1200, 7953, 616, 476, 15171, 17744, 1279, 16634, 306, 23439, 331, 3570, 623, 1678, 7806, 13960, 563, 16085, 23439, 331, 3570, 623, 1678, 7806, 13960, 29112, 8563, 20046, 20977, 20265, 2843, 509, 31606, 7549, 13077, 4344, 13833, 3522, 2008, 347, 19733, 1475, 309, 597, 6265, 807, 20448, 2160, 2008, 347, 15447, 333, 585, 1475, 28095, 2594, 3620, 27212, 585, 519, 13074, 7953, 540, 1022, 4807, 538, 519, 1158, 2008, 1432, 568, 519, 20125, 22874, 888, 763, 1158, 779, 476, 1428, 20125, 2477, 454, 268, 12868, 1107, 476, 272, 269, 6812, 332, 563, 268, 30643, 1107, 476, 272, 269, 277, 332, 563, 268, 13372, 1107, 476, 272, 269, 277, 866, 332, 563, 268, 10476, 1107, 476, 272, 269, 277, 2641, 332, 563, 268, 25591, 1107, 476, 272, 269, 27698, 332, 563, 268, 18310, 1107, 476, 272, 269, 8287, 332, 563, 268, 28130, 1107, 476, 272, 269, 277, 3374, 332, 563, 268, 16444, 20092, 1107, 476, 272, 269, 277, 3607, 332, 563, 1432, 568, 519, 32399, 4807, 538, 519, 1158, 888, 1692, 7381, 729, 519, 32399, 1268, 602, 2479, 5030, 888, 8005, 814, 519, 13074, 7953, 538, 519, 1158, 888, 21547, 328, 4354, 12541, 267, 476, 1704, 267, 814, 13166, 7745, 519, 2871, 514, 1145, 2622, 16680, 585, 2348, 519, 13074, 7953, 563, 8005, 814, 13074, 11469, 538, 519, 1158, 888, 8005, 568, 519, 32399, 8004, 21717, 888, 290, 3633, 2752, 24315, 298, 267, 7147, 1107, 589, 26009, 7147, 7141, 568, 6972, 7381, 1310, 8840, 1079, 1158, 5638, 269, 5839, 328, 4354, 12541, 267, 476, 1704, 267, 814, 10645, 519, 2140, 585, 13074, 7953, 585, 513, 4775, 543, 513, 21717, 269, 634, 7141, 20610, 1657, 1200, 1920, 693, 476, 277, 3952, 267, 476, 1015, 6279, 7381, 269, 4173, 7953, 2268, 476, 7871, 6279, 267, 476, 2568, 260, 540, 1200, 2698, 4463, 563, 8005, 814, 519, 13074, 8405, 538, 519, 1158, 888, 16449, 2713, 2831, 267, 2937, 13032, 30539, 742, 525, 723, 519, 13074, 683, 4242, 267, 5827, 540, 8757, 827, 476, 279, 3952, 630, 273, 269, 275, 544, 264, 1279, 269, 3143, 824, 2713, 13442, 20489, 3368, 713, 3259, 563, 8005, 814, 519, 2960, 333, 5006, 8405, 538, 519, 1158, 888, 347, 2419, 18588, 15840, 611, 584, 667, 30231, 2008, 25238, 30231, 538, 476, 1001, 273, 2008, 21270, 1941, 1475, 1789, 5437, 476, 4350, 280, 590, 3315, 534, 267, 590, 3315, 534, 10588, 267, 18310, 2008, 25238, 1221, 1475, 274, 5181, 476, 1001, 276, 630, 3042, 476, 4037, 264, 623, 6210, 623, 6210, 267, 1977, 6341, 10394, 347, 0, 16829, 593, 9484, 476, 276, 267, 476, 1708, 272, 476, 7871, 454, 6124, 2023, 779, 4303, 568, 9976, 593, 5130, 476, 275, 269, 898, 568, 519, 14512, 540, 11184, 21469, 13053, 269, 898, 729, 593, 5130, 476, 275, 267, 476, 13932, 273, 729, 4535, 267, 606, 14222, 21184, 540, 2257, 267, 519, 26350, 540, 799, 616, 3274, 11720, 6804, 269, 1261, 729, 6444, 607, 968, 1492, 3959, 540, 3425, 9731, 763, 4332, 540, 519, 10867, 729, 2352, 269, 634, 6765, 3576, 1747, 16349, 569, 267, 4250, 532, 585, 21469, 779, 1272, 269, 3571, 14077, 941, 538, 1100, 31657, 547, 13171, 523, 519, 7911, 269, 674, 622, 26356, 8335, 269, 634, 4583, 10196, 5030, 476, 10019, 1296, 543, 10355, 2479, 3893, 7210, 610, 2192, 267, 5103, 1010, 4057, 1072, 607, 513, 1126, 563, 763, 14222, 2296, 2964, 545, 267, 21997, 267, 22301, 267, 543, 31485, 941, 2404, 609, 22184, 531, 8906, 269, 6270, 607, 476, 274, 4031, 540, 11707, 267, 519, 1876, 540, 8471, 28040, 2787, 267, 1101, 13890, 676, 519, 10196, 538, 519, 5929, 960, 968, 12385, 3012, 673, 23548, 25751, 540, 7849, 13898, 1848, 3502, 1152, 602, 267, 855, 13053, 4362, 11186, 543, 7533, 11810, 267, 519, 4031, 540, 2168, 25852, 267, 2813, 519, 2681, 3069, 267, 2306, 4909, 8906, 538, 17651, 543, 3289, 13866, 923, 269, 634, 1592, 540, 1010, 2127, 540, 3621, 1719, 568, 11995, 563, 24916, 3621, 2238, 267, 519, 2182, 268, 11529, 543, 3743, 10196, 9060, 942, 547, 8362, 4497, 538, 1857, 2238, 607, 513, 14618, 4115, 269, 769, 476, 15433, 277, 593, 519, 16252, 540, 519, 26554, 27891, 540, 519, 1401, 3832, 20960, 8176, 8053, 6558, 267, 9516, 676, 519, 3751, 540, 4789, 267, 21469, 13053, 2968, 519, 1183, 4177, 540, 519, 20511, 540, 4279, 6628, 269, 631, 2045, 592, 748, 543, 14047, 783, 2534, 538, 713, 2361, 814, 7759, 519, 2197, 540, 4831, 10623, 527, 619, 267, 15286, 606, 2804, 6433, 543, 8118, 909, 3255, 585, 519, 2104, 1134, 5630, 540, 519, 2296, 563, 306, 597, 21469, 13053, 729, 519, 1101, 2296, 2006, 547, 4309, 513, 3138, 11998, 2140, 585, 3621, 9740, 563, 11997, 267, 621, 568, 1152, 2067, 585, 519, 3621, 2146, 547, 4922, 8661, 13053, 779, 4303, 593, 5130, 476, 275, 609, 513, 3126, 540, 2621, 2404, 609, 519, 2012, 540, 519, 14222, 10196, 269, 589, 24744, 547, 519, 3965, 540, 519, 6574, 21184, 540, 8103, 568, 519, 2757, 3643, 547, 519, 18205, 540, 519, 8545, 538, 31689, 30745, 538, 5507, 269, 968, 1103, 6457, 646, 20546, 539, 3425, 2223, 1256, 519, 4013, 5939, 17019, 269, 0, 12709, 1315, 2101, 1315, 476, 276, 268, 273, 7688, 2101, 19325, 476, 276, 268, 273, 7688, 2101, 19325, 476, 1691, 270, 5400, 270, 1708, 272, 4804, 20638, 476, 272, 3963, 1620, 11095, 21056, 568, 1271, 763, 4998, 1259, 547, 6895, 1453, 257, 338, 13120, 568, 547, 3950, 741, 11095, 7432, 2798, 269, 2791, 8384, 281, 476, 276, 268, 273, 7688, 2101, 19325, 1432, 616, 1020, 17595, 1670, 19325, 286, 14946, 11365, 21056, 616, 1919, 1034, 1453, 723, 519, 1318, 547, 1685, 676, 513, 1978, 2085, 2529, 330, 1571, 971, 607, 2921, 606, 3355, 1900, 267, 32127, 585, 519, 7620, 942, 267, 543, 849, 530, 3058, 968, 25742, 1532, 6614, 892, 616, 1572, 11095, 7432, 2798, 269, 5753, 3914, 21056, 538, 1175, 875, 789, 1404, 267, 1451, 267, 1352, 697, 267, 957, 267, 543, 849, 1847, 269, 1411, 4585, 3214, 3914, 21056, 1169, 1554, 269, 9282, 782, 3214, 1020, 693, 741, 1378, 10605, 267, 513, 2603, 540, 1453, 3914, 11095, 19325, 693, 610, 827, 519, 1360, 1482, 2085, 269, 14946, 17595, 1670, 19325, 2709, 1898, 23456, 1472, 513, 1126, 779, 11095, 1072, 269, 3725, 2286, 21056, 693, 519, 6093, 6502, 2982, 513, 5067, 568, 6932, 607, 9277, 269, 1234, 2286, 7432, 2798, 513, 2603, 5892, 5267, 513, 5067, 949, 581, 27636, 3379, 3842, 1010, 610, 1200, 9905, 540, 519, 3169, 1482, 2085, 269, 8253, 3478, 547, 19325, 610, 3478, 547, 873, 1454, 2663, 593, 982, 19920, 519, 1360, 1482, 2085, 723, 519, 1318, 547, 581, 519, 9998, 16315, 602, 513, 1126, 1522, 723, 2965, 513, 11095, 8488, 2529, 727, 19325, 616, 2523, 2556, 269, 8253, 3478, 547, 1346, 676, 513, 1978, 2085, 568, 513, 1020, 17595, 1670, 9963, 2278, 1125, 610, 2699, 9206, 630, 1410, 3263, 6035, 538, 12423, 6662, 476, 273, 1040, 5753, 602, 1810, 1406, 3914, 19325, 949, 991, 3606, 6351, 543, 2533, 547, 3914, 741, 2347, 1761, 269, 16605, 538, 2247, 602, 1020, 17595, 1670 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4864, 563, 763, 16603, 4339, 3459, 711, 607, 851, 540, 513, 7556, 13037, 607, 609, 824, 1426, 24515, 855, 1310, 513, 512, 1380, 548, 936, 513, 2990, 538, 513, 31959, 538, 476, 3707, 276, 269, 2368, 1762, 8695, 4956, 789, 4941, 547, 581, 851, 540, 519, 31959, 269, 4256, 3527, 3366, 547, 1776, 16045, 9991, 936, 269, 901, 812, 24363, 883, 513, 30270, 543, 3323, 18530, 5309, 2583, 269, 901, 6777, 4252, 539, 883, 1004, 10652, 1154, 1142, 824, 609, 4829, 267, 543, 519, 1187, 5170, 2221, 607, 519, 7887, 6896, 1426, 4339, 538, 519, 1158, 563, 763, 2680, 729, 17049, 585, 1082, 1296, 267, 855, 14666, 2221, 26600, 547, 519, 4884, 585, 519, 16603, 4339, 269, 15907, 476, 6344, 11973, 9748, 540, 936, 686, 701, 2699, 14274, 267, 799, 1131, 6382, 723, 1044, 546, 22981, 267, 616, 14903, 539, 883, 519, 13037, 1858, 269, 15526, 8942, 547, 5531, 909, 607, 1082, 14274, 607, 2009, 547, 9292, 331, 693, 824, 2818, 540, 519, 15624, 538, 606, 12473, 1426, 4339, 799, 16569, 606, 5662, 563, 277, 661, 3149, 2037, 325, 18288, 1846, 454, 14112, 569, 1310, 8285, 1142, 1032, 267, 519, 4406, 523, 857, 534, 4884, 540, 594, 6798, 11199, 14186, 883, 513, 7372, 4212, 543, 7912, 4339, 269, 634, 661, 3149, 2037, 325, 18288, 1846, 13037, 593, 519, 4303, 540, 519, 26735, 665, 757, 267, 5412, 476, 2764, 267, 7389, 1394, 936, 476, 1220, 1296, 563, 4002, 519, 552, 557, 540, 519, 13037, 267, 2367, 21039, 538, 29198, 31959, 998, 519, 10754, 267, 556, 523, 716, 532, 2621, 799, 723, 7018, 1282, 519, 2250, 1032, 269, 634, 1985, 6640, 267, 519, 968, 5319, 325, 18288, 1846, 892, 10571, 538, 23769, 4108, 6095, 321, 547, 3942, 513, 23769, 19420, 269, 634, 5198, 568, 593, 547, 10544, 519, 25650, 779, 30060, 544, 864, 267, 3976, 2921, 1852, 540, 519, 2749, 543, 25412, 28457, 748, 4031, 269, 22893, 616, 535, 1441, 585, 8840, 891, 4031, 267, 609, 519, 7482, 6659, 24603, 547, 2199, 1347, 885, 563, 763, 4961, 1287, 4339, 1996, 519, 2037, 325, 18288, 1846, 609, 5798, 543, 7912, 269, 25569, 338, 540, 5798, 543, 7366, 540, 13532, 540, 7912, 616, 3032, 777, 738, 539, 998, 519, 10754, 267, 609, 7912, 23752, 3595, 28755, 1188, 619, 543, 1256, 3595, 24773, 29913, 1031, 1282, 519, 23769, 6370, 269, 968, 14503, 712, 1379, 892, 23366, 17993, 519, 1554, 267, 543, 519, 2749, 568, 17468, 547, 1931, 693, 519, 3932, 540, 519, 13037, 563, 276, 22500, 322, 820, 570, 1601, 454, 6624, 1004, 1810, 1406, 2731, 899, 4829, 322, 820, 782, 602, 1454, 267, 865, 538, 12548, 267, 789, 723, 513, 2189, 1259, 540, 8741, 532, 540, 891, 12119, 2451, 13569, 269, 31671, 537, 25951, 7264, 5531, 693, 519, 1439, 540, 5130, 1142, 1032, 547, 28433, 519, 1034, 2189, 1797, 540, 19184, 532, 31629, 4829, 322, 820, 883, 519, 2011, 563, 5475, 1810, 908, 513, 1875, 704, 27720, 1426, 6221, 547, 513, 2199, 1426, 4871, 267, 16311, 1218, 1899, 909, 547, 1294, 945, 666, 10131, 741, 4829, 322, 820, 519, 17439, 4554, 269, 7435, 19184, 532, 267, 1793, 902, 32718, 267, 543, 1256, 28994, 976, 723, 1044, 1031, 547, 4412, 601, 519, 8285, 2451, 13569, 269, 769, 476, 1220, 278, 267, 513, 1895, 540, 645, 27739, 8030, 25282, 513, 27668, 1505, 799, 4718, 741, 4829, 14735, 3914, 513, 2594, 476, 275, 3451, 7397, 630, 272, 267, 22213, 10264, 1916, 763, 1187, 5993, 1426, 6735, 2882, 10571, 5346, 2621, 543, 849, 2488, 968, 1370, 539, 892, 2927, 640, 28862, 585, 1346, 945, 723, 2965, 8737, 741, 4829, 322, 820, 269, 1703, 779, 1256, 513, 27106, 11325, 585, 1346, 945, 2965, 899, 4829, 322, 820, 563, 275, 2622, 31654, 731, 26629, 29073, 4721, 454, 303, 773, 2987, 7308, 19904, 13467, 941, 513, 20013, 540, 2038, 2083, 4364, 18792, 269, 27837, 676, 635, 539, 1014, 24898, 24755, 680, 514, 779, 1884, 923, 538, 519, 7260, 19992, 519, 24897, 267, 519, 4884, 540, 30532, 515, 987, 538, 13573, 6585, 606, 5993, 8169, 731, 2650, 18530, 23594, 1222, 538, 4873, 1142, 1032, 563, 309, 650, 6162, 543, 8436, 538, 30532, 515, 987, 723, 1044, 16298, 909, 547, 9292, 331, 533, 625, 693, 1142, 824, 2094, 476, 3422, 278, 269, 30581, 540, 2650, 12235, 619, 27043, 689, 1472, 519, 1158, 267, 1810, 940, 519, 16681, 10571, 799, 568, 2356, 4397, 693, 891, 14834, 5115, 2621, 269, 1358, 14526, 896, 554, 559, 13895, 2319, 4408, 971, 607, 968, 303, 773, 667, 617, 7970, 892, 543, 968, 290, 755, 731, 1975, 625, 3034, 2026, 519, 2650, 4339, 5956, 267, 16311, 1218, 616, 13752, 2798, 2687, 547, 1141, 741, 8169, 731, 344, 28862, 5734, 519, 11685, 269, 589, 1463, 5734, 547, 519, 3068, 31267, 519, 5207, 6060, 267, 6466, 7508, 707, 3077, 1614, 2053, 1223, 1294, 596, 3478, 513, 15163, 269, 623, 625, 666, 1152, 581, 1166, 2426, 609, 519, 2451, 1688, 267, 609, 1100, 1793, 902, 32718, 610, 824, 27668, 3457, 4847, 563, 274, 5487, 631, 699, 978, 3385, 454, 763, 3504, 5053, 13037, 4371, 538, 966, 559, 534, 13960, 1775, 3288, 717, 3881, 745, 814, 7960, 936, 519, 5553, 689, 513, 2241, 8498, 9913, 883, 513, 2407, 6823, 1426, 4339, 269, 634, 13037, 3091, 513, 2039, 540, 6653, 13000, 543, 9913, 936, 513, 3018, 3056, 909, 547, 12891, 13723, 267, 609, 519, 5031, 1373, 5487, 631, 699, 978, 3385, 267, 1141, 3025, 22939, 519, 1554, 18530, 20202, 544, 1359, 826, 693, 1142, 824, 563, 763, 18280, 20897, 7264, 2253, 519, 1554, 609, 513, 2757, 3165, 7594, 1354, 16144, 3544, 547, 10514, 1142, 824, 609, 544, 1359, 826, 269, 4495, 782, 519, 13037, 2998, 619, 616, 4988, 538, 513, 20202, 2849, 817, 267, 621, 568, 942, 585, 519, 15506, 718, 320, 632, 2961, 14712, 657, 267, 538, 799, 9748, 540, 17711, 616, 9250, 883, 519, 13037, 24921, 563, 288, 21167, 18530, 13037, 568, 4371, 593, 5988, 476, 274, 1142, 1032, 538, 3567, 547, 8661, 519, 4947, 540, 5614, 269, 4438, 30498, 889, 684, 267, 28777, 13386, 28369, 616, 16207, 547, 20758, 1055, 9409, 14326, 543, 2327, 1434, 9939, 1282, 519, 4947, 1032, 269, 20323, 513, 4357, 1920, 13037, 538, 799, 606, 4587, 5256, 1131, 1810, 513, 26881, 779, 9633, 513, 1247, 519, 1866, 1131, 12235, 10365, 693, 1864, 267, 519, 2680, 814, 2919, 883, 513, 811, 1857, 26035, 563, 289, 6756, 18530, 12738, 616, 5645, 856, 693, 693, 17633, 543, 695, 21218, 269, 898, 568, 849, 2757, 547, 3548, 835, 21167, 585, 1142, 1032, 540, 707, 1272, 269, 10705, 267, 606, 3063, 21167, 568, 13881, 547, 20758, 1055, 9409, 14326, 543, 3142, 1434, 9939, 269, 1358, 666, 1406, 581, 1175, 1022, 10365, 1498, 282, 789, 1590, 581, 28777, 13386, 28369, 563, 272, 4258, 2426, 932, 879, 645, 684, 16635, 454, 1103, 2904, 1142, 1032, 267, 5215, 540, 1004, 13956, 2390, 4258, 2426, 932, 879, 267, 513, 6263, 6532, 1055, 15173, 15158, 269, 1763, 6342, 6108, 4374, 1991, 547, 519, 5993, 2680, 11256, 536, 12584, 267, 1818, 13968, 267, 543, 2870, 13099, 1512, 2173, 5995, 18810, 540, 2757, 10971, 267, 799, 786, 581, 9132, 539, 998, 519, 10754, 1282, 519, 13037, 563, 5475, 513, 1554, 540, 2575, 543, 1612, 3547, 267, 1519, 519, 2442, 968, 335, 14241, 16536, 892, 31959, 267, 3025, 7011, 956, 3544, 519, 11454, 267, 1141, 1614, 7372, 19348, 20610, 616, 12926, 801, 4765, 609, 28140, 877, 267, 2603, 639, 267, 543, 21167, 13594, 536, 12584, 269, 3004, 1441, 15712, 26545, 1076, 909, 519, 519, 20610, 693, 519, 8482, 540, 28813, 547, 10544, 607, 1082, 18822, 536, 12584, 607, 789, 666, 563, 16729, 513, 476, 3192, 279, 13357, 950, 513, 13486, 25540, 896, 519, 5916, 2597, 540, 519, 536, 12584, 543, 519, 6172, 1499, 267, 519, 2680, 729, 17049, 585, 5176, 476, 1789, 1296, 269, 634, 536, 684, 6735, 729, 32543, 22004, 538, 476, 1220, 276, 267, 23344, 609, 1007, 3106, 3800, 269, 4595, 476, 1220, 278, 267, 32649, 5068, 536, 12584, 723, 1044, 1031, 267, 855, 519, 9758, 536, 12584, 616, 1869, 2139, 547, 21649, 593, 1282, 519, 13037, 563, 299, 525, 2917, 1230, 24335, 568, 513, 19622, 8241, 11356, 9375, 945, 2488, 4930, 585, 2228, 12326, 543, 1200, 1378, 2951, 5816, 269, 0, 273, 269, 2764, 12344, 789, 786, 2161, 602, 519, 8594, 540, 31561, 520, 787, 7569, 602, 3694, 543, 9174, 581, 711, 2731, 1459, 269, 1215, 28457, 748, 256, 634, 2482, 5443, 723, 2760, 1831, 5432, 609, 741, 11029, 6138, 540, 6219, 543, 10913, 267, 543, 1223, 711, 9787, 621, 952, 621, 941, 6026, 873, 269, 14755, 267, 972, 568, 519, 1482, 8594, 538, 519, 2013, 540, 519, 10913, 799, 2611, 543, 799, 789, 1294, 267, 607, 538, 519, 2013, 540, 519, 6219, 799, 789, 798, 711, 1294, 269, 1280, 952, 789, 798, 711, 740, 648, 519, 10913, 267, 855, 2441, 6456, 896, 873, 267, 1946, 1058, 789, 740, 648, 519, 3694, 267, 799, 789, 798, 711, 1294, 888, 273, 269, 3066, 1809, 1946, 1223, 711, 2441, 1331, 3571, 1560, 538, 519, 6219, 540, 519, 3694, 1175, 607, 1134, 607, 538, 519, 10913, 286, 634, 1079, 6878, 540, 3595, 543, 4401, 616, 865, 544, 532, 1194, 538, 519, 12699, 4401, 602, 1169, 851, 568, 1312, 4401, 543, 3595, 269, 4208, 1223, 711, 1454, 2864, 2441, 781, 1560, 581, 3976, 8659, 538, 1169, 851, 540, 519, 6219, 540, 519, 3694, 888, 273, 269, 1789, 1548, 786, 789, 2161, 286, 1284, 3494, 602, 538, 3571, 4332, 2441, 3357, 8521, 856, 540, 519, 796, 641, 2989, 27042, 540, 3571, 3993, 269, 2913, 873, 2161, 1934, 1932, 602, 519, 17145, 540, 519, 7910, 729, 29285, 3045, 8811, 23624, 267, 610, 607, 789, 1131, 811, 19038, 569, 2161, 267, 1098, 889, 560, 656, 7007, 267, 865, 602, 2441, 267, 1310, 1373, 679, 19507, 539, 538, 922, 10913, 267, 6368, 3357, 8521, 998, 519, 10913, 256, 634, 1482, 3364, 786, 723, 547, 581, 1767, 540, 519, 9505, 7450, 543, 540, 519, 6806, 6679, 540, 519, 19772, 267, 998, 799, 1261, 4682, 538, 543, 856, 1510, 23892, 873, 269, 9747, 814, 24111, 602, 20770, 1014, 6138, 540, 3586, 7274, 3982, 689, 519, 6219, 267, 2394, 621, 814, 2097, 547, 971, 513, 1780, 602, 789, 2933, 1100, 3476, 917, 1018, 616, 10913, 543, 1018, 568, 6219, 269, 1280, 945, 814, 2479, 9863, 3564, 519, 14692, 540, 513, 8969, 602, 3002, 267, 7990, 267, 4411, 267, 1769, 267, 2597, 610, 3337, 616, 6071, 10913, 286, 7053, 267, 789, 723, 1044, 9141, 547, 519, 16681, 602, 513, 1007, 6219, 568, 2813, 676, 2696, 585, 741, 10913, 593, 519, 26749, 1107, 782, 593, 2272, 540, 17127, 267, 945, 3081, 267, 834, 2005, 568, 519, 9759, 540, 606, 8009, 547, 581, 538, 1945, 2437, 543, 11995, 824, 1395, 560, 4592, 885, 267, 782, 540, 799, 789, 1131, 581, 7759, 952, 789, 3274, 15868, 1483, 3694, 547, 581, 1459, 269, 1656, 594, 556, 329, 4069, 7494, 602, 519, 2241, 5132, 540, 713, 5485, 26963, 568, 1869, 547, 581, 1336, 693, 2547, 1851, 519, 1455, 1004, 269, 1358, 798, 711, 1174, 267, 865, 789, 798, 711, 15539, 267, 2436, 10913, 616, 1459, 610, 6219, 267, 855, 3494, 609, 513, 2241, 5132, 602, 2441, 781, 1560, 543, 1973, 616, 5963, 8659, 538, 8726, 568, 972, 267, 543, 4734, 547, 1346, 945, 723, 4986, 3116, 547, 798, 519, 1870, 540, 11722, 532, 827, 602, 799, 3568, 873, 563, 273, 269, 4029, 1809, 5310, 789, 786, 2161, 281, 3245, 17127, 649, 1451, 602, 538, 606, 31077, 20790, 1641, 543, 2392, 6510, 1590, 581, 9838, 267, 610, 267, 547, 1305, 1524, 519, 28458, 781, 1378, 1913, 267, 538, 519, 15795, 1433, 540, 1010, 5450, 7469, 12695, 281, 834, 2304, 31077, 20790, 7569, 519, 6876, 540, 1641, 543, 2392, 6510, 2437, 799, 789, 4612, 607, 1657, 269, 9747, 267, 950, 621, 568, 1767, 267, 834, 1607, 568, 1250, 1560, 2437, 519, 1641, 3112, 581, 9838, 609, 519, 3694, 267, 855, 1590, 581, 9838, 609, 519, 1560, 540, 2441, 563, 273, 269, 3953, 1548, 4927, 649, 2161, 950, 17127, 543, 519, 29625, 540, 2367, 616, 1500, 547, 581, 519, 11737, 619, 540, 891, 3138, 11998, 543, 10143, 6927, 286, 4208, 798, 649, 711, 2322, 11735, 971, 7279, 267, 543, 804, 532, 3274, 547, 519, 2262, 540, 2441, 267, 8348, 547, 2611, 538, 22293, 540, 1018, 1934, 3217, 1747, 267, 543, 1543, 609, 713, 267, 602, 519, 1483, 1560, 540, 2441, 568, 1459, 676, 16495, 540 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 27716, 6026, 1010, 13794, 547, 7281, 281, 968, 1320, 344, 10806, 2097, 593, 3618, 607, 538, 13140, 1848, 3245, 607, 2038, 607, 519, 3791, 2540, 267, 930, 4168, 3610, 6836, 547, 11100, 713, 609, 2010, 540, 519, 15107, 4577, 3661, 267, 10451, 519, 2856, 540, 968, 548, 3058, 3618, 543, 2469, 547, 13140, 2223, 799, 2968, 13416, 676, 519, 5664, 12698, 563, 8005, 568, 519, 1101, 2696, 888, 24154, 8676, 568, 519, 1101, 5601, 538, 519, 9699, 15112, 341, 597, 622, 267, 610, 16013, 4669, 328, 269, 634, 15112, 341, 597, 622, 5161, 540, 1614, 10971, 945, 616, 3743, 585, 519, 5137, 267, 909, 18141, 543, 9552, 540, 519, 1158, 563, 2710, 2831, 979, 547, 13140, 888, 3383, 2016, 602, 267, 519, 2243, 540, 2436, 610, 711, 2831, 666, 979, 547, 13140, 3085, 1406, 2731, 4019, 547, 6844, 327, 1235, 269, 2560, 1924, 267, 9811, 267, 2831, 616, 513, 851, 540, 519, 1482, 1272, 11546, 987, 3146, 19689, 4783, 602, 3425, 616, 538, 267, 855, 693, 930, 1448, 789, 24044, 547, 581, 2831, 543, 741, 20339, 4283, 1480, 4703, 865, 789, 666, 581, 6251, 547, 2696, 563, 8005, 568, 538, 13140, 1631, 2687, 547, 519, 6426, 888, 263, 5319, 5255, 543, 18379, 26400, 616, 1767, 538, 27403, 547, 723, 1044, 3144, 883, 13140, 1247, 1869, 1373, 9800, 593, 3047, 543, 711, 2943, 7680, 2168, 2669, 8094, 1432, 616, 519, 4408, 540, 519, 476, 278, 30723, 888, 763, 4408, 540, 519, 18599, 1261, 822, 839, 616, 5794, 267, 661, 750, 267, 10493, 639, 267, 22695, 527, 636, 267, 595, 6130, 636, 267, 31928, 704, 1756, 267, 543, 595, 6130, 636, 2558, 8181, 15384, 269, 634, 10766, 540, 519, 1101, 24656, 568, 2806, 626, 636, 267, 519, 9856, 7812, 269, 2060, 1864, 616, 1079, 1762, 2367, 630, 553, 538, 1520, 28593, 8489, 568, 13140, 538, 519, 6426, 888, 763, 1101, 1899, 540, 519, 6426, 2829, 602, 13140, 568, 2813, 2059, 609, 519, 5137, 540, 519, 3618, 630, 7049, 8412, 476, 272, 1040, 898, 568, 5097, 2696, 779, 23029, 1747, 538, 519, 13400, 2245, 281, 513, 6252, 7706, 1141, 3388, 13333, 2687, 547, 2696, 779, 786, 563, 8005, 786, 4283, 13140, 888, 763, 2622, 2296, 6426, 18922, 519, 8574, 607, 281, 3502, 3025, 945, 3081, 547, 803, 267, 2048, 299, 867, 267, 7083, 16224, 786, 269, 4283, 883, 519, 8003, 540, 24656, 282, 855, 646, 945, 269, 1281, 519, 786, 540, 1250, 12429, 945, 568, 538, 13140, 563, 8005, 2813, 2696, 888, 9377, 11367, 540, 4984, 723, 1293, 1229, 602, 519, 2243, 568, 16789, 281, 1284, 2307, 267, 968, 2252, 782, 1919, 723, 513, 17082, 267, 1287, 945, 2813, 2696, 9495, 24511, 267, 1152, 2813, 1919, 723, 513, 17082, 267, 865, 621, 779, 16789, 547, 26686, 2696, 609, 1010, 5137, 269, 2696, 814, 7000, 5128, 547, 721, 538, 519, 6426, 607, 2348, 2141, 11478, 563, 6701, 519, 30723, 2230, 888, 9213, 267, 2705, 267, 519, 2165, 968, 1492, 30723, 892, 814, 606, 1884, 1172, 730, 3280, 267, 543, 649, 3717, 540, 519, 7706, 3544, 519, 3047, 3274, 607, 968, 537, 614, 2230, 1848, 901, 568, 607, 9243, 513, 2165, 607, 2009, 269, 898, 4016, 711, 547, 1018, 568, 538, 2230, 9789, 10785, 543, 24262, 543, 6801, 28559, 3274, 547, 519, 2230, 3294, 267, 607, 952, 621, 941, 513, 8708, 563, 3674, 4906, 538, 13140, 609, 2696, 888, 763, 2038, 13794, 540, 4906, 4166, 5156, 602, 4906, 729, 6659, 607, 1101, 540, 519, 4666, 267, 3144, 883, 24656, 267, 543, 608, 5306, 730, 267, 2921, 519, 10160, 693, 519, 1318, 1688, 540, 2696, 538, 24656, 267, 607, 7150, 538, 519, 24347, 956, 685, 595, 7517, 281, 968, 3891, 10841, 2105, 883, 13140, 267, 543, 568, 27206, 693, 519, 1318, 1688, 540, 2696, 519, 12429, 620, 332, 26663, 1848, 25360, 916, 476, 8099, 281, 272, 5129, 606, 2560, 0, 2467, 616, 930, 3604, 1063, 3109, 12217, 543, 519, 9628, 645, 8986, 267, 1498, 2687, 547, 918, 7159, 4802, 29124, 267, 606, 4612, 633, 2067, 626, 609, 519, 18518, 14480, 525, 3557, 5244, 267, 789, 616, 26526, 2147, 563, 13828, 9260, 538, 693, 1472, 476, 4968, 6550, 267, 29124, 1767, 13638, 1282, 513, 1982, 693, 519, 6288, 781, 2470, 4099, 269, 5637, 1796, 20005, 693, 827, 476, 277, 3952, 7381, 543, 513, 3109, 7703, 666, 856, 14725, 513, 9628, 19594, 676, 827, 476, 1015, 18890, 563, 3719, 621, 781, 513, 3109, 7703, 602, 781, 1044, 30443, 6362, 1472, 519, 12309, 4975, 1858, 538, 2487, 4374, 269, 1358, 616, 835, 540, 1896, 11864, 602, 1031, 547, 1402, 3634, 519, 546, 17480, 602, 723, 20374, 936, 942, 1317, 540, 2530, 540, 7226, 543, 2242, 538, 519, 1426, 3761, 267, 29124, 1767, 269, 645, 2581, 282, 11188, 24189, 1149, 282, 535, 29913, 267, 799, 17696, 11188, 24189, 1149, 282, 7823, 21495, 282, 543, 15454, 20384, 782, 1031, 547, 1402, 3634, 519, 546, 17480, 267, 2059, 609, 3109, 12217, 563, 24679, 781, 1044, 476, 13893, 1296, 282, 476, 6942, 272, 729, 519, 2063, 3109, 7703, 8289, 532, 538, 18518, 2437, 1352, 1767, 563, 763, 19157, 5256, 3109, 7703, 267, 799, 519, 18518, 4972, 540, 7849, 8249, 814, 1044, 9477, 267, 1500, 922, 1259, 547, 18518, 998, 7137, 31151, 6019, 538, 27623, 12309, 267, 998, 1715, 2961, 5894, 548, 267, 543, 7178, 547, 12309, 4975, 267, 29124, 1767, 269, 4563, 12217, 616, 811, 11342, 538, 7187, 12309, 543, 519, 16592, 18686, 563, 257, 3891, 781, 1360, 2673, 2437, 1352, 1767, 563, 3383, 2673, 267, 538, 1249, 267, 602, 918, 760, 9546, 2023, 267, 513, 678, 9734, 609, 519, 18518, 14480, 525, 2817, 20463, 327, 648, 945, 13984, 519, 1982, 267, 4718, 519, 7703, 538, 1010, 1394, 13452, 2038, 10732, 6640, 267, 646, 1767, 563, 3891, 4682, 538, 1010, 1394, 13452, 16172, 1354, 476, 277, 281, 1789, 513, 6230, 269, 547, 960, 856, 543, 1010, 4436, 1352, 23311, 3323, 13626, 532, 3330, 519, 2777, 269, 1261, 8118, 519, 7450, 547, 1294, 1018, 729, 2469, 593, 543, 519, 2915, 10443, 883, 519, 18137, 602, 705, 583, 1010, 12309, 4975, 268, 19327, 1753, 563, 257, 9515, 1175, 3323, 13626, 532, 796, 19055, 2406, 269, 594, 1413, 909, 543, 594, 1294, 713, 2462, 3109, 3337, 3001, 1055, 883, 519, 18137, 2437, 646, 1767, 267, 4946, 646, 10443, 883, 1010, 2777, 547, 12687, 909, 1010, 7385, 543, 519, 7703, 729, 8854, 950, 789, 3357, 1394, 856, 563, 763, 2915, 267, 1031, 547, 606, 25819, 540, 2831, 538, 519, 18137, 267, 6170, 476, 1015, 3764, 2879, 858, 532, 1472, 269, 9546, 2023, 4862, 824, 8378, 5243, 979, 21173, 607, 519, 7703, 1500, 922, 1259, 998, 519, 18137, 269, 1261, 30409, 20417, 15880, 7128, 543, 519, 667, 24520, 563, 257, 5445, 1767, 789, 4718, 1018, 789, 2219, 941, 1079, 29066, 1394, 972, 2437, 646, 1767, 267, 4946, 519, 8289, 532, 3884, 1405, 9672, 1317, 646, 4769, 1405, 1205, 513, 4605, 543, 519, 7703, 4769, 1405, 4734, 4552, 610, 1085, 520, 3297, 269, 667, 24520, 10492, 5143, 9546, 2023, 519, 7703, 729, 4440, 1310, 519, 15273, 9440, 17382, 538, 519, 18137, 3297, 1010, 1753, 563, 14937, 12217, 5749, 1405, 3335, 10728, 267, 29124, 1767, 267, 543, 1247, 789, 949, 3548, 1480, 1426, 952, 621, 781, 2451, 856, 267, 543, 6177, 6079, 267, 789, 4782, 3552, 1426, 543, 786, 3362, 2132, 547, 602, 2732, 269, 4563, 12217, 1810, 1405, 1256, 7584, 538, 519, 476, 1839, 1034, 5906, 2831, 269, 17018, 10181, 3996, 1283, 602, 1592, 1317, 540, 519, 3676, 789, 666, 4163, 269, 4563, 7703, 32356, 616, 2178, 585, 16246, 4054, 855, 711, 8325, 585, 8066, 10352, 563, 19285, 6415, 811, 14126, 827, 1004, 9292, 1154, 519, 3109, 7703, 982, 519, 3109, 7703, 9292, 1154, 1004, 2437, 29124, 1767, 267, 4946, 789, 2811, 1152, 476, 273, 547, 476, 274, 3952, 1164, 950, 593, 782, 2185, 338, 269, 834, 5445, 616, 835, 540, 519, 10545, 12217, 602, 649, 723, 269, 1358, 2811, 711, 2706, 3620, 4007, 543, 789, 2811, 711, 2469, 547, 4323, 596, 4799, 2252, 519, 7703, 7959, 12219, 267, 621, 949, 1118, 513, 834, 32401, 5279, 257, 693, 2576, 267, 4881, 4724, 873, 543, 16069, 2110, 269, 589, 7703, 786, 2356, 3802, 2476, 952, 2576, 2306, 6846, 547, 14773, 741, 4527, 267, 29124, 1767, 267, 543, 952, 519, 7703, 6285, 267, 1352, 6700, 8165, 1394, 676, 18530, 7725, 543, 5309, 2583, 563, 257, 303, 4958, 754, 596, 2811, 27743, 7195, 2692, 320, 2437, 1352, 1767, 269, 834, 3891, 3513, 2196, 2476, 4799, 288, 3240, 700, 10052, 2917, 568, 513, 28479, 766, 27680, 585, 519, 5403, 6874, 1026, 2317, 269, 0, 296, 269, 674, 7644, 4306, 623, 5308, 306, 8577, 12778, 1107, 21733, 9974, 676, 20570, 267, 12650, 675, 267, 610, 20520, 454, 10521, 13654, 3741, 799, 649, 1869, 1294, 2221, 454, 272, 269, 3689, 769, 5384, 2507, 14140, 538, 1318, 454, 273, 269, 2920, 783, 25334, 11970, 607, 9562, 269, 27619, 568, 513, 6281, 1106, 540, 15896, 2507, 15367, 22234, 621, 1101, 547, 581, 2111, 547, 6133, 621, 888, 289, 269, 12650, 675, 1107, 8187, 12292, 630, 2536, 2801, 28571, 3120, 324, 994, 272, 264, 30271, 2070, 540, 25334, 11970, 912, 272, 269, 2368, 9837, 547, 4865, 454, 273, 269, 2368, 2168, 2078, 630, 716, 783, 7001, 610, 6180, 531, 10138, 532, 994, 383, 502, 14329, 540, 12650, 675, 1107, 15896, 568, 519, 1797, 540, 16565, 2140, 547, 519, 3959, 676, 912, 272, 269, 3689, 1268, 547, 1491, 4890, 2168, 15896, 630, 10048, 1075, 320, 1632, 264, 814, 2140, 454, 320, 269, 631, 699, 13287, 568, 711, 2614, 454, 273, 269, 18200, 958, 10138, 532, 610, 3004, 6137, 3662, 865, 602, 7001, 568, 11613, 23218, 23709, 344, 1978, 630, 24119, 337, 1516, 621, 540, 922, 2067, 15698, 1916, 320, 269, 3502, 2808, 9676, 2394, 7450, 2879, 11474, 9505, 610, 2121, 814, 1044, 6806, 563, 383, 502, 30258, 585, 946, 540, 14329, 540, 12650, 675, 454, 334, 5398, 8889, 1107, 14329, 8992, 11318, 1107, 1514, 11588, 585, 891, 2357, 2381, 547, 581, 9676, 31574, 2683, 454, 334, 7225, 2772, 19004, 1107, 1677, 8007, 519, 12650, 528, 568, 6662, 1107, 4896, 1223, 2161, 789, 941, 538, 13287, 855, 1152, 835, 1223, 7001, 563, 334, 8534, 7869, 1107, 1869, 10039, 855, 811, 519, 3608, 946, 540, 4074, 2507, 516, 2072, 1346, 945, 2965, 9676, 519, 3662, 563, 273, 264, 5689, 5534, 3955, 12401, 540, 11780, 454, 763, 800, 540, 5689, 5534, 3955, 12401, 540, 11780, 454, 383, 502, 15329, 550, 543, 5689, 5534, 6411, 2944, 547, 513, 1268, 779, 13567, 15828, 633, 16901, 616, 711, 15868, 454, 383, 502, 1403, 3441, 547, 13567, 729, 3361, 676, 946, 540, 12485, 538, 519, 1482, 3924, 538, 519, 2012, 540, 6735, 267, 972, 568, 1100, 2962, 585, 14796, 454, 274, 264, 681, 566, 324, 3752, 328, 1107, 8187, 12292, 593, 5411, 2244, 454, 383, 502, 8092, 14935, 616, 9833, 607, 1101, 4865, 528, 1247, 2831, 1869, 593, 2244, 454, 334, 8092, 14935, 723, 16268, 15896, 607, 10353, 547, 4890, 15896, 454, 334, 661, 3052, 1421, 4634, 952, 513, 512, 4046, 817, 518, 568, 1101, 547, 7001, 606, 3662, 593, 606, 5411, 2244, 267, 519, 8227, 568, 2808, 547, 723, 16268, 15896, 1101, 563, 334, 1977, 10470, 7947, 713, 2070, 282, 1934, 267, 513, 2244, 26782, 22595, 1100, 2924, 538, 3552, 2831, 593, 1200, 2244, 269, 1717, 267, 1317, 606, 8227, 949, 3046, 21962, 543, 1866, 689, 512, 4046, 23035, 593, 1200, 2244, 267, 713, 3947, 606, 1977, 2244, 26782, 519, 12600, 4316, 547, 7001, 3552, 2831, 593, 519, 2244, 267, 1641, 540, 1576, 547, 10122, 4031, 269, 3245, 22858, 529, 1107, 711, 6026, 538, 1362, 563, 275, 264, 16700, 3250, 10389, 12983, 270, 763, 1559, 454, 383, 502, 19120, 1881, 12983, 540, 13574, 11429, 1107, 2899, 3959, 9562, 814, 1044, 5462, 538, 519, 3552, 3662, 267, 602, 3959, 1318, 568, 11727, 543, 711, 6207, 563, 1700, 1403, 519, 3662, 7024, 270, 525, 7870, 547, 922, 2067, 7226, 2507, 527, 779, 711, 16523, 15042, 2899, 621, 7024, 547, 519, 12780, 269, 898, 859, 529, 1356, 919, 707, 1991, 3409, 607, 3959, 8227, 563, 6440, 31453, 476, 272, 1700, 1403, 596, 723, 606, 3662, 1634, 547, 723, 513, 4412, 3748, 547, 2132, 630, 2304, 574, 639, 681, 1197, 339, 754, 328, 264, 630, 3697, 513, 23881, 935, 267, 13650, 1070, 1287, 519, 3552, 2831, 9101, 1281, 711, 859, 529, 1356, 622, 707, 3409, 454, 1700, 23582, 730, 2831, 616, 3407, 547, 2486, 543, 519, 4674 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1134, 607, 519, 3735, 4936, 547, 519, 2038, 17454, 29509, 5712, 269, 898, 11394, 547, 4983, 519, 2470, 543, 6708, 540, 1689, 538, 519, 3119, 6469, 919, 685, 1979, 6248, 4162, 543, 855, 30987, 269, 634, 7664, 540, 19320, 543, 24716, 1063, 31174, 1137, 18584, 547, 2901, 1439, 540, 891, 13289, 786, 948, 547, 1174, 9393, 787, 2853, 538, 6628, 1282, 519, 4936, 5736, 269, 0, 11764, 1067, 568, 3533, 16042, 543, 602, 1797, 621, 779, 942, 585, 930, 1920, 1187, 538, 519, 3141, 256, 14400, 568, 849, 513, 1390, 942, 547, 948, 707, 1126, 2744, 610, 2844, 2542, 1983, 269, 7335, 5781, 547, 707, 1126, 2443, 693, 1022, 2085, 2443, 786, 5818, 741, 2634, 1646, 267, 707, 6125, 267, 543, 865, 1454, 811, 269, 2353, 621, 3217, 568, 513, 1906, 2835, 543, 513, 2370, 942, 547, 948, 707, 1126, 1020, 883, 513, 1272, 17489, 5467, 2336, 2080, 616, 930, 2241, 4388, 547, 948, 707, 1126, 1020, 610, 2226, 741, 2542, 22026, 1983, 936, 519, 4832, 912, 268, 13185, 256, 13185, 256, 13185, 256, 4004, 21899, 609, 707, 1126, 5781, 568, 835, 540, 519, 1655, 1919, 513, 2385, 666, 798, 609, 741, 1126, 269, 15439, 2322, 267, 519, 811, 1913, 513, 1126, 30650, 267, 519, 6793, 741, 6863, 543, 2542, 1983, 4043, 547, 581, 269, 6056, 540, 3054, 899, 513, 27680, 267, 1936, 908, 707, 1126, 779, 3232, 13467, 281, 968, 10498, 267, 621, 779, 942, 547, 979, 547, 519, 6288, 256, 2913, 779, 1265, 938, 13544, 1115, 269, 2659, 29075, 568, 4544, 256, 17719, 568, 6960, 1848, 5410, 968, 15927, 892, 1913, 547, 707, 4633, 269, 968, 16100, 693, 602, 2462, 3529, 256, 898, 779, 1208, 784, 748, 28461, 268, 3367, 256, 3367, 256, 3367, 256, 3194, 3081, 602, 519, 1655, 1259, 547, 948, 707, 1126, 1020, 513, 15400, 2648, 540, 2542, 568, 547, 1224, 609, 873, 1169, 1554, 269, 1879, 513, 1126, 1592, 839, 547, 513, 1650, 267, 741, 8186, 616, 693, 960, 543, 8362, 7722, 267, 2921, 538, 782, 519, 1893, 789, 5873, 607, 1134, 3478, 513, 2634, 5818, 538, 9345, 543, 8223, 269, 1656, 540, 1576, 267, 1346, 10475, 835, 6823, 14633, 8090, 596, 2671, 26311, 936, 513, 1433, 1927, 616, 11720, 6804, 2336, 268, 6657, 968, 5793, 5562, 2542, 892, 609, 707, 1126, 269, 589, 2757, 1224, 1700, 531, 3716, 568, 1141, 513, 1126, 18795, 23900, 607, 513, 1650, 568, 1373, 1224, 282, 606, 7317, 1224, 1700, 531, 3716, 20217, 6643, 689, 3382, 547, 3382, 269, 1879, 596, 1224, 609, 707, 1126, 267, 2119, 17328, 6748, 543, 6158, 827, 1945, 519, 1650, 1500, 596, 1589, 827, 269, 8347, 1818, 513, 4276, 281, 968, 1607, 851, 19595, 803, 540, 2507, 892, 610, 6998, 707, 1126, 513, 2243, 281, 968, 1432, 729, 707, 5172, 851, 540, 519, 1650, 286, 17719, 729, 2507, 6100, 901, 1259, 267, 707, 1126, 786, 2253, 547, 1174, 602, 2542, 3884, 1406, 1175, 827, 1018, 779, 8345, 538, 519, 1433, 267, 855, 849, 827, 1018, 779, 8345, 538, 938, 9843, 2336, 268, 3367, 2835, 2789, 2053, 547, 707, 1126, 269, 15901, 730, 4598, 2337, 1453, 3314, 3270, 267, 3209, 1913, 543, 1921, 1883, 2035, 269, 1924, 267, 950, 596, 5873, 707, 1126, 22551, 267, 968, 26139, 256, 11088, 17373, 607, 596, 2673, 519, 1433, 267, 1655, 547, 1491, 513, 2620, 7362, 543, 1376, 689, 519, 4098, 2336, 268, 6657, 6586, 2719, 609, 707, 1126, 269, 20876, 6586, 2719, 1913, 568, 606, 1271, 5578, 607, 1453, 1205, 4712, 547, 1224, 269, 681, 1506, 2719, 2337, 1453, 6432, 543, 1445, 5702, 593, 4992, 1369, 1913, 543, 2337, 547, 2087, 741, 5711, 1893, 1983, 269, 898, 779, 849, 674, 7419, 256, 7591, 6586, 2719, 1913, 609, 707, 1126, 269, 5502, 540, 968, 296, 22342, 609, 1250, 2370, 3750, 5608, 1946, 711, 2119, 968, 296, 16777, 2752, 609, 1250, 2370, 661, 2752, 1945, 602, 30053, 609, 12223, 13090, 892, 888, 268, 6657, 13093, 2438, 4656, 269, 1912, 517, 2438, 4656, 568, 519, 2702, 547, 5873, 4992, 538, 1913, 269, 8479, 1453, 1810, 1406, 6923, 5873, 519, 4992, 1369, 1913, 269, 1280, 1383, 267, 789, 5873, 968, 27594, 2223, 855, 711, 519, 968, 706, 327, 892, 268, 2108, 1177, 892, 268, 968, 7666, 327, 1848, 1677, 1831, 3988, 267, 789, 723, 547, 1451, 547, 5873, 891, 4992, 630, 528, 13093, 655, 525, 1040, 8347, 8840, 5432, 267, 22150, 1913, 883, 4992, 950, 596, 3717, 543, 1118, 621, 883, 513, 2370, 27378, 3014, 269, 1280, 1383, 267, 3079, 540, 6031, 281, 968, 11742, 585, 5127, 5608, 2119, 281, 968, 11742, 585, 968, 321, 7795, 3887, 327, 268, 706, 327, 9731, 268, 7179, 17607, 269, 5753, 609, 1820, 4656, 1174, 602, 1820, 11438, 2495, 543, 814, 1114, 3252, 269, 8672, 532, 856, 1820, 593, 4191, 267, 27487, 543, 538, 2984, 568, 606, 1271, 1101, 1900, 538, 4543, 1453, 1020, 1820, 4656, 563, 268, 3367, 1472, 519, 4055, 256, 20876, 1820, 666, 948, 1453, 1118, 519, 1271, 4276, 1063, 5022, 543, 4992, 269, 8672, 856, 9102, 4191, 538, 8637, 543, 593, 519, 8265, 269, 22443, 4948, 1919, 1472, 707, 1753, 609, 1507, 6486, 971, 607, 968, 21830, 5608, 968, 325, 16466, 5608, 968, 14456, 5608, 968, 24316, 6100, 2659, 1453, 786, 2693, 1831, 8049, 827, 519, 4191, 543, 2307, 968, 1432, 568, 713, 9495, 610, 968, 1432, 1281, 713, 2161, 9495, 634, 3804, 568, 711, 602, 707, 1126, 666, 1224, 519, 4191, 855, 602, 789, 616, 3384, 606, 4656, 540, 4484, 1606, 895, 19359, 563, 268, 8073, 513, 2230, 543, 513, 1747, 585, 2542, 269, 8073, 513, 2027, 267, 9602, 1747, 538, 707, 1753, 585, 707, 1126, 547, 1224, 267, 2328, 543, 2721, 269, 5901, 2835, 543, 824, 2542, 2326, 1141, 707, 1126, 666, 3362, 3914, 873, 269, 5410, 10788, 3298, 267, 29198, 267, 543, 513, 2027, 968, 32143, 8631, 773, 892, 707, 1126, 666, 1224, 609, 269, 16731, 519, 2199, 5399, 543, 5000, 707, 1126, 547, 3442, 741, 1378, 2835, 547, 1039, 547, 741, 968, 20091, 4856, 1676, 9731, 268, 3367, 2059, 547, 23866, 7734, 269, 11374, 2059, 609, 519, 1913, 1247, 6947, 547, 513, 1650, 568, 606, 5140, 1259, 585, 707, 1453, 547, 1020, 2542, 22026, 269, 1879, 649, 5749, 1406, 972, 547, 1224, 547, 873, 267, 5000, 707, 1126, 547, 6432, 547, 513, 1650, 1247, 1739, 2059, 269, 7913, 2542, 5867, 267, 971, 607, 3244, 6798, 267, 1683, 513, 2647, 3099, 540, 2835, 585, 782, 6502, 267, 2157, 267, 543, 4690, 602, 3988, 666, 1246, 2059, 547, 1247, 789, 6432, 563, 8245, 6798, 3091, 3988, 540, 1169, 2085, 267, 1377, 267, 543, 1719, 1569, 547, 606, 5863, 2228, 5399, 540, 2502, 2835, 543, 1614, 1114, 2081, 547, 1224, 269, 7994, 689, 2542, 2059, 267, 1936, 908, 267, 610, 2542, 3623, 1836, 563, 3963, 711, 1129, 909, 707, 1126, 547, 2972, 2542, 10446, 782, 4832, 609, 519, 3244, 6798, 14400, 7335, 11833, 888, 31917, 2542, 609, 707, 1126, 713, 4832, 256, 0, 20464, 476, 4572, 273, 11706, 454, 9596, 519, 1034, 4277, 2621, 543, 3140, 5013, 602, 5949, 538, 5130, 476, 4572, 273, 563, 763, 2475, 7022, 729, 25303, 717, 269, 670, 8973, 630, 11847, 3016, 534, 1070, 519, 5177, 11788, 10579, 729, 6424, 32008, 6723, 630, 299, 28515, 1070, 15352, 31409, 2473, 309, 729, 3056, 519, 7826, 5783, 563, 3719, 1454, 811, 5949, 593, 5130, 476, 4572, 273, 281, 1265, 856, 2630, 454, 7617, 941, 519, 1271, 2621, 540, 5130, 476, 4572, 273, 888, 268, 476, 6021, 3967, 476, 4572, 273, 918, 304, 309, 268, 4456, 538, 29016, 13698, 5956, 5925, 18993, 3827, 454, 268, 476, 1015, 3967, 476, 4572, 273, 14880, 26186, 603, 568, 11221, 5518, 540, 519, 9721, 5131, 3557, 563, 268, 476, 1556, 3967, 476, 4572, 273, 3689, 946, 540, 7378, 547, 1521, 3987, 538, 513, 1480, 3461, 563, 268, 476, 1321, 3967, 476, 4572, 273, 634, 3703, 2229, 13847, 519, 6967, 9721, 14586, 9676, 538, 519, 2782, 540, 14412, 563, 268, 476, 1724, 3967, 476, 4572, 273, 654, 11190, 268, 4456, 538, 23885, 654, 296, 5956, 5925, 18993, 3827, 454, 268, 476, 1428, 3967, 476, 4572, 273, 9721, 5131, 3557, 3029, 282, 7812, 19811, 3587, 1101, 30856, 563, 268, 476, 866, 3967, 476, 4572, 273, 24959, 5619, 3081, 2475, 3282, 3761, 1131, 581, 30701, 538, 476, 736, 1296, 563, 268, 476, 2190, 3967, 476, 4572, 273, 2274, 327, 2006, 595, 2314, 2817, 31790, 3964, 563, 268, 476, 2918, 3967, 476, 4572, 273, 7969, 4229, 19582, 16700, 337, 1092, 538, 8644, 5984, 269, 634, 11028, 26810, 540, 8644, 5984, 5956, 563, 268, 476, 2764, 3967, 476, 4572, 273, 808, 661, 1849, 1515, 7140, 5682, 7345, 29929, 1394, 547, 715, 14566, 563, 268, 476, 3066, 3967, 476, 4572, 273, 5742, 540, 22728, 28573, 267, 30188, 267, 670, 1180, 32136, 543, 4432, 30571, 15702, 563, 268, 476, 1789, 3967, 476, 4572, 273, 2622, 4521, 4303, 267, 1101, 9976, 563, 13563, 957, 816, 267, 24253, 569, 1930, 267, 5059, 543, 3461, 945, 1336, 1390, 8560, 593, 3060, 7641, 689, 476, 4198, 273, 543, 568, 1655, 1634, 585, 519, 476, 2735, 276, 2483, 13563, 17076, 22256, 543, 8689, 630, 323, 269, 476, 1960, 275, 1916, 13563, 7376, 267, 513, 4137, 18048, 945, 3459, 547, 1118, 513, 1665, 538, 519, 2038, 476, 4198, 271, 338, 607, 513, 27461, 18048, 563, 268, 6423, 811, 454, 23873, 3162, 15393, 24413, 630, 17484, 4269, 1070, 10523, 693, 476, 5325, 563, 8624, 517, 601, 267, 10523, 693, 476, 6812, 538, 20698, 657, 267, 13280, 563, 311, 309, 630, 29820, 476, 6977, 275, 1916, 323, 625, 693, 2085, 476, 10170, 563, 268, 6423, 811, 0, 2304, 796, 5913, 3293, 10211, 568, 513, 10211, 602, 568, 9783, 543, 6462, 1152, 676, 519, 10210, 518, 779, 5491, 10290, 1465, 267, 2864, 982, 676, 1022, 1826, 540, 32097, 269, 1133, 5913, 3293, 12029, 1765, 27271, 5219, 547, 607, 15040, 12029, 610, 2123, 12029, 1765, 732, 9516, 1510, 519, 946, 540, 3959, 610, 824, 7221, 607, 32097, 269, 634, 2474, 540, 971, 12029, 267, 1519, 13170, 543, 2256, 18967, 267, 616, 4061, 1034, 1419, 20314, 550, 593, 519, 10210, 518, 779, 5491, 6060, 269, 15380, 267, 10210, 619, 1590, 723, 1164, 5491, 8464, 547, 581, 9516, 585, 1978, 796, 5913, 3293, 12029, 269, 589, 5491, 6060, 568, 513, 10230, 6041, 540, 513, 10210, 518, 779, 2702, 547, 2628, 1394, 7963, 543, 9356, 513, 7082, 779, 5491, 10290, 1465, 1759, 593, 741, 5491, 1686, 563, 268, 1323, 796, 5913, 3293, 10211, 568, 513, 10211, 602, 779, 6462, 1152, 676, 519, 10210, 518, 779, 5491, 10290, 1465, 267, 2864, 982, 676, 1022, 1826, 540, 32097, 563, 268, 1133, 5913, 3293, 12029, 616, 3006, 5219, 547, 607, 2123, 610, 15040, 12029, 2094, 789, 1810, 1406, 946, 3959, 610, 824, 7221, 607, 32097, 563, 268, 1133, 5913, 3293, 12029, 616, 1981, 1512, 585, 32225, 982, 17956, 12029, 4611, 538, 2362, 1719, 3928, 543, 2154, 2362, 5491, 8464, 269, 0, 289, 22976, 12064, 12113, 787, 729, 513, 986, 1111, 1922, 518, 787, 693, 519, 1292, 15385, 1448, 540, 519, 5211, 15952, 344, 342, 710, 689, 519, 1744, 790, 547, 21207, 1633, 267, 827, 4557, 5195, 5045, 540, 519, 15952, 344, 342, 710, 15167, 269, 3245, 519, 20531, 3118, 593, 519, 7178, 4871, 267, 1079, 7381, 3043, 9708, 6825, 519, 13675, 540, 519, 26738, 282, 519, 2786, 26738, 10443, 827, 513, 4627, 18126, 267, 1196, 3022, 609, 1804, 3043, 2914, 14414, 10007, 267, 3056, 547, 513, 14228, 3118, 543, 3376, 11308, 13941, 22533, 269, 14033, 519, 4871, 941, 930, 536, 3326, 1841, 267, 543, 1079, 1164, 9708, 609, 26816, 3179, 563, 4002, 519, 7532, 2427, 519, 4871, 729, 14869, 543, 513, 23090, 26738, 6172, 5523, 909, 689, 519, 13941, 269, 634, 7542, 787, 1532, 13331, 3294, 729, 1804, 543, 6366, 563, 763, 26738, 729, 1134, 268, 651, 696, 543, 1169, 3781, 2576, 1396, 519, 26816, 3179, 593, 519, 17689, 1790, 739, 338, 563, 8448, 8747, 540, 519, 10828, 10740, 454, 763, 12113, 787, 729, 1767, 547, 581, 8938, 5195, 5045, 540, 519, 15167, 676, 8585, 787, 855, 713, 729, 22621, 547, 4557, 538, 519, 476, 2004, 628, 7788, 15208, 9990, 563, 21545, 2001, 531, 538, 14624, 454, 1220, 272, 281, 634, 7083, 540, 519, 681, 902, 281, 634, 26665, 23050, 540, 519, 23580, 912, 268, 31530, 4777, 645, 12000, 1231, 267, 6341, 3772, 31133, 32607, 267, 8585, 328, 611, 665, 15952, 344, 321, 3089, 267, 543, 28828, 326, 12541, 570, 809, 782 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 534, 269, 7427, 619, 540, 5771, 3494, 602, 2696, 8359, 1808, 1913, 950, 13031, 519, 15878, 262, 534, 267, 1818, 1346, 5079, 1713, 269, 1306, 3988, 267, 649, 1590, 5490, 4514, 547, 3605, 1585, 10096, 267, 799, 1223, 1689, 4470, 593, 2796, 267, 1686, 267, 1893, 267, 543, 1256, 2123, 2833, 269, 1924, 1810, 1405, 7017, 585, 1152, 835, 7664, 282, 3079, 267, 9784, 519, 17381, 1336, 538, 3695, 1114, 5380, 780, 1262, 7078, 5093, 6875, 519, 12428, 2165, 834, 265, 19207, 332, 1695, 265, 2580, 4122, 12261, 607, 834, 1067, 1097, 1701, 1717, 267, 952, 596, 2007, 4514, 267, 596, 949, 1265, 3606, 10096, 267, 1519, 8296, 267, 2648, 267, 19807, 267, 543, 811, 256, 5994, 519, 17909, 540, 6568, 596, 2744, 676, 8508, 986, 327, 332, 1695, 538, 922, 2407, 652, 2631, 780, 2162, 2878, 3519, 1061, 1948, 273, 5093, 2608, 11328, 13133, 566, 27372, 936, 942, 269, 22177, 9961, 1686, 267, 1480, 10340, 8441, 267, 4654, 1020, 267, 543, 7239, 2981, 269, 4475, 267, 1620, 540, 1978, 18627, 610, 15102, 949, 6521, 1932, 269, 3807, 1589, 827, 875, 1454, 938, 1378, 27325, 2242, 1282, 1164, 1153, 256, 3955, 31147, 10723, 5931, 2636, 4055, 585, 2208, 1247, 18245, 3140, 5072, 780, 1262, 7078, 5093, 7216, 5640, 540, 519, 15878, 262, 534, 14648, 18627, 827, 11755, 8335, 982, 2413, 3283, 1813, 547, 4657, 19824, 543, 1514, 8155, 269, 2755, 3504, 29240, 7281, 539, 5097, 13964, 267, 2221, 267, 9923, 13196, 1683, 11280, 5624, 585, 10847, 269, 7073, 12496, 1631, 11168, 2146, 2679, 543, 13784, 2864, 982, 3274, 10503, 2168, 6753, 780, 2162, 2878, 3519, 1061, 1948, 274, 5093, 2608, 2467, 3884, 1405, 2141, 21450, 2953, 2626, 269, 22177, 19284, 6061, 2979, 2042, 267, 21264, 532, 10723, 5931, 2356, 3085, 1405, 1267, 538, 513, 2582, 17046, 3070, 269, 7756, 2043, 543, 2950, 1522, 2709, 8795, 16752, 1759, 2390, 3309, 10080, 543, 6791, 269, 1656, 7058, 1018, 286, 2353, 540, 873, 666, 581, 4570, 256, 16871, 713, 4763, 27862, 938, 1565, 1995, 543, 7512, 15826, 4901, 780, 1262, 7078, 5093, 1879, 7234, 519, 3483, 540, 1480, 6228, 2687, 547, 519, 15878, 262, 534, 267, 1896, 4798, 10836, 267, 971, 607, 7674, 2696, 267, 5275, 1702, 267, 14237, 16495, 267, 610, 20678, 585, 5126, 269, 3962, 5133, 2488, 3407, 5813, 883, 8103, 781, 1909, 538, 5935, 938, 7104, 22038, 780, 3383, 267, 15210, 7045, 3464, 267, 3314, 602, 16042, 10723, 5931, 899, 519, 15878, 262, 534, 3322, 7279, 267, 9639, 267, 543, 22371, 269, 3143, 2339, 707, 4984, 610, 4282, 267, 596, 4865, 519, 1379, 547, 4497, 609, 7096, 7326, 5293, 1524, 998, 5481, 269, 8414, 3695, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 10111, 331, 654, 269, 21321, 560, 568, 5261, 681, 269, 8230, 534, 12789, 269, 31692, 1639, 7905, 540, 16241, 5525, 693, 519, 2160, 540, 3345, 10491, 693, 30989, 10830, 543, 2278, 267, 1034, 5063, 267, 540, 1215, 547, 3367, 519, 15878, 685, 534, 281, 589, 1715, 6651, 267, 609, 8564, 25927, 725, 269, 901, 1433, 3091, 513, 11741, 4367, 543, 5467, 779, 3391, 585, 4896, 267, 1875, 5336, 639, 3916, 610, 7332, 267, 945, 6499, 547, 917, 875, 547, 1935, 267, 1224, 267, 543, 1174, 519, 1257, 540, 519, 15878, 685, 534, 269, 769, 713, 5967, 267, 21321, 560, 6941, 1946, 513, 1875, 1492, 1670, 1935, 568, 5363, 538, 1620, 835, 540, 519, 1158, 779, 2101, 3909, 5931, 563, 10000, 11845, 476, 272, 281, 1789, 10681, 281, 570, 2317, 538, 547, 654, 7419, 290, 779, 968, 763, 3557, 540, 12085, 892, 713, 13723, 267, 476, 1321, 270, 278, 267, 693, 29869, 29643, 547, 5873, 21321, 560, 779, 6643, 609, 3984, 7671, 853, 553, 1470, 269, 19415, 2228, 693, 5291, 2517, 342, 15635, 3820, 24579, 31810, 270, 1206, 582, 270, 563, 304, 281, 769, 707, 4367, 267, 596, 10839, 606, 2038, 7332, 6205, 945, 4767, 602, 722, 367, 763, 15878, 685, 534, 1281, 711, 3717, 267, 855, 621, 1281, 2154, 606, 3705, 614, 269, 16357, 2052, 596, 5225, 4228, 593, 875, 602, 1523, 568, 1271, 547, 4896, 4974, 519, 15878, 685, 534, 888, 288, 281, 634, 1448, 568, 602, 519, 15878, 685, 534, 267, 899, 1022, 824, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 659, 1042, 31157, 1299, 23075, 257, 607, 851, 540, 834, 299, 25604, 14473, 23333, 28421, 16739, 1315, 23527, 1299, 21771, 1315, 16241, 1299, 6184, 2869, 1049, 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, 17138, 281, 8073, 513, 853, 344, 1501, 543, 30785, 6733, 585, 519, 3689, 4303, 540, 3427, 692, 7072, 912, 763, 1101, 1554, 540, 1153, 568, 606, 1271, 8317, 602, 5036, 519, 3159, 585, 519, 1964, 540, 519, 4081, 1032, 269, 667, 7675, 14013, 666, 948, 596, 1118, 513, 1390, 12705, 267, 1745, 8746, 267, 543, 5818, 707, 7099, 269, 901, 3102, 3391, 786, 3802, 596, 998, 2870, 513, 31042, 2943, 3617, 1413, 585, 519, 1101, 1554, 540, 1153, 267, 3246, 2143, 3268, 267, 5363, 4388, 267, 543, 1898, 4808, 2059, 519, 1259, 269, 1635, 1739, 891, 5528, 267, 596, 3513, 581, 2111, 547, 2322, 1927, 606, 28459, 602, 10905, 6752, 609, 10342, 1247, 20170, 547, 10571, 9479, 543, 2123, 7375, 780, 1262, 8368, 540, 12937, 16001, 272, 269, 13760, 2659, 3427, 781, 667, 816, 8943, 454, 273, 269, 7994, 27413, 2334, 14484, 2659, 22226, 454, 274, 269, 8564, 12411, 8684, 26629, 806, 547, 17186, 543, 26969, 454, 275, 269, 26875, 1125, 1290, 3228, 543, 19750, 640, 454, 276, 269, 7457, 528, 1125, 23539, 2685, 454, 277, 269, 4643, 589, 3650, 585, 16661, 19047, 454, 278, 269, 32027, 898, 2353, 8625, 910, 634, 13159, 4934, 7257, 454, 279, 269, 15937, 29110, 2583, 543, 9608, 1436, 454, 280, 269, 6657, 15474, 10610, 5678, 692, 1262, 3721, 476, 272, 281, 13760, 2659, 3427, 781, 667, 816, 8943, 12533, 6524, 7446, 1022, 7802, 3688, 267, 24559, 3054, 609, 707, 1153, 781, 10571, 3009, 3609, 269, 2368, 3506, 723, 7453, 3652, 827, 1018, 1053, 616, 4847, 547, 5957, 267, 865, 2327, 602, 707, 6074, 4773, 5447, 609, 1346, 6042, 269, 9796, 1880, 3007, 547, 9993, 3823, 27291, 267, 4778, 267, 1236, 7398, 13080, 267, 543, 2010, 540, 695, 16630, 610, 27890, 269, 1403, 2556, 267, 5077, 707, 1153, 25156, 610, 3346, 7245, 952, 596, 991, 27792, 593, 1808, 3344, 540, 519, 10571, 3009, 269, 1520, 17518, 547, 519, 10571, 3009, 5849, 602, 596, 2057, 1761, 30095, 3527, 543, 2226, 2463, 585, 707, 3872, 9872, 780, 1262, 3721, 476, 273, 281, 7994, 27413, 2334, 14484, 2659, 22226, 12533, 8624, 832, 1404, 513, 1713, 1909, 538, 11589, 938, 23141, 543, 23187, 4664, 269, 1677, 1711, 606, 8076, 543, 6209, 1413, 267, 2824, 24698, 602, 13469, 609, 707, 7209, 543, 9148, 707, 2960, 3159, 269, 1280, 1383, 267, 3636, 896, 2023, 525, 949, 4324, 689, 3618, 344, 18565, 899, 14462, 3039, 267, 26151, 10538, 267, 610, 1768, 2350, 27198, 267, 6466, 16830, 896, 2023, 525, 1522, 9290, 21462, 267, 1625, 1255, 267, 543, 1178, 903, 269, 3958, 267, 2015, 6220, 835, 610, 1079, 20020, 4778, 883, 707, 28459, 1210, 17960, 971, 607, 10077, 1407, 267, 26797, 267, 610, 10887, 269, 901, 1935, 8591, 3308, 1719, 1510, 11566, 707, 2949, 5920, 780, 1262, 3721, 476, 274, 281, 8564, 12411, 8684, 26629, 806, 547, 17186, 543, 26969, 12533, 20059, 538, 11684, 20758, 549, 2041, 25411, 1255, 602, 666, 581, 6404, 543, 20083, 2429, 519, 3018, 267, 21924, 1312, 2511, 543, 1942, 4398, 269, 8838, 585, 5929, 3623, 17924, 22863, 543, 15851, 3270, 2864, 982, 7678, 12454, 3688, 602, 949, 3533, 979, 856, 540, 6752, 269, 30318, 4773, 1331, 912, 268, 8614, 753, 630, 14259, 697, 1850, 610, 28489, 3514, 994, 268, 932, 16394, 610, 737, 327, 752, 529, 630, 928, 23018, 4778, 994, 268, 2349, 11817, 610, 7735, 16365, 695, 16630, 630, 338, 13521, 4778, 610, 11029, 16493, 994, 268, 31687, 11596, 630, 920, 342, 928, 1188, 610, 966, 16250, 1188, 6163, 994, 268, 9315, 580, 753, 630, 2775, 7076, 5679, 1080, 994, 4322, 13654, 23157, 1683, 11995, 10659, 950, 19610, 609, 1114, 25568, 267, 4420, 1682, 267, 543, 9018, 18875, 6106, 267, 4180, 602, 596, 2611, 31042, 1169, 1554, 540, 519, 1153, 3018, 780, 1262, 3721, 476, 275, 281, 26875, 1125, 1290, 3228, 543, 19750, 640, 12533, 4467, 3228, 1058, 2760, 581, 19847, 585, 2511, 267, 2523, 1282, 1279, 2395, 6170, 693, 1153, 269, 1879, 8939, 7802, 3688, 267, 4225, 4313, 676, 6236, 2188, 971, 607, 5958, 1826, 267, 3514, 267, 543, 8112, 269, 3680, 25516, 2326, 899, 3954, 574, 610, 5230, 530, 8962, 267, 3079, 1904, 532, 585, 7362, 762, 17234, 971, 607, 10412, 267, 32028, 24025, 267, 610, 2773, 5679, 1080, 269, 5015, 267, 2327, 602, 707, 9660, 1450, 585, 8897, 540, 3350, 267, 7175, 7589, 538, 2168, 2238, 543, 4928, 6278, 1510, 9636, 269, 14936, 267, 1810, 1405, 7340, 827, 31321, 282, 3442, 6899, 14229, 5474, 610, 3138, 2378, 619, 602, 2709, 1489, 543, 31289, 532, 585, 3108, 540, 3232, 5957, 780, 1262, 3721, 476, 276, 281, 7457, 528, 1125, 23539, 2685, 12533, 16966, 1559, 1039, 3178, 543, 1915, 547, 606, 26254, 267, 7393, 707, 2123, 2511, 1247, 7674, 6198, 5301, 269, 4035, 601, 787, 267, 29167, 267, 11435, 267, 543, 22970, 782, 3565, 547, 11264, 707, 1413, 269, 1717, 267, 3635, 27047, 842, 950, 2482, 1359, 2789, 1569, 800, 4773, 547, 2061, 20358, 532, 707, 28459, 269, 5502, 267, 1445, 593, 25640, 3688, 602, 2992, 707, 2189, 12716, 543, 4196, 4052, 2115, 267, 971, 607, 8876, 2835, 267, 24195, 267, 610, 824, 1153, 7727, 269, 5901, 538, 2247, 602, 1978, 17960, 949, 581, 19275, 676, 1153, 4507, 267, 865, 5595, 27902, 1354, 6220, 873, 883, 707, 3803, 1242, 1413, 780, 1262, 3721, 476, 277, 281, 4643, 589, 3650, 585, 16661, 19047, 12533, 2171, 1430, 4249, 513, 2629, 1909, 538, 8159, 799, 7802, 3688, 616, 5078, 585, 519, 1101, 1554, 540, 1153, 269, 6744, 2199, 23004, 3056, 909, 547, 519, 2462, 1554, 543, 1544, 9935, 269, 20233, 1359, 2636, 596, 547, 4188, 707, 30933, 1759, 593, 11385, 908, 5210, 267, 4946, 610, 9427, 3688, 607, 2877, 269, 7767, 538, 17426, 13544, 1115, 267, 3556, 580, 753, 267, 610, 642, 3949, 602, 666, 3362, 581, 14095, 2476, 950, 711, 2838, 855, 1869, 1683, 14246, 543, 4027, 1996, 6397, 4365, 2242, 780, 1262, 3721, 476, 278, 281, 32027, 898, 2353, 8625, 910, 634, 13159, 4934, 7257, 12533, 3086, 602, 596, 4312, 10356, 782, 519, 3334, 540, 707, 28459, 267, 621, 781, 942, 547, 27043, 873, 14429, 1947, 269, 10670, 609, 4420, 1682, 630, 16660, 753, 267, 669, 16394, 267, 1236, 16630, 1070, 4553, 676, 513, 1283, 4494, 630, 4565, 1787, 267, 25099, 1040, 5410, 606, 18593, 1647, 4494, 630, 15258, 10247, 267, 4418, 831, 264, 952, 2556, 267, 1287, 9096, 1055, 609, 606, 9018, 18875, 4062, 630, 329, 871, 564, 267, 10359, 264, 4470, 593, 4365, 2175, 269, 7053, 267, 6451, 17960, 24617, 267, 5329, 538, 2247, 741, 1599, 543, 9295, 547, 707, 2949, 5920, 269, 5457, 547, 3666, 17114, 1107, 6292, 10690, 1922, 9231, 25568, 609, 811, 19034, 4420, 1682, 610, 13030, 17930, 1107, 547, 2226, 10103, 1369, 707, 26254, 780, 1262, 3721, 476, 279, 281, 15937, 29110, 2583, 543, 9608, 1436, 12533, 11754, 18138, 18953, 547, 2347, 707, 1413, 267, 971, 607, 19081, 539, 4552, 267, 1134, 31720, 22633, 18969, 267, 543, 8766, 17539, 630, 604, 10858, 1040, 1452, 2609, 6542, 1582, 13282, 543, 3007, 547, 1469, 267, 2417, 6173, 908, 707, 6881, 269, 5047, 267, 789, 5512, 596, 547, 13686, 707, 2189, 7209, 543, 2631, 540, 2511, 267, 1818, 513, 9434, 2318, 12705, 593, 9905, 543, 7855, 7567, 780, 1262, 3721, 476, 280, 281, 6657, 15474, 10610, 5678, 12533, 19741, 8806, 19703, 14013, 267, 14237, 2318, 1560, 1893, 8309, 3648, 547, 707, 2949, 4527, 543, 1629, 6756, 528, 269, 5776, 7381, 267, 4497, 538, 3750, 3346, 267, 12837 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 280, 281, 10289, 23204, 5303, 543, 12829, 20260, 338, 998, 21578, 692, 280, 269, 272, 4985, 547, 23204, 5303, 692, 28343, 7798, 2029, 568, 513, 12316, 1523, 602, 2488, 513, 5150, 543, 12001, 1259, 540, 10916, 1239, 2066, 2789, 5904, 1510, 13461, 593, 513, 3844, 6392, 269, 634, 2165, 834, 23026, 7798, 257, 2501, 689, 519, 1249, 602, 713, 6538, 8637, 1344, 538, 7161, 602, 616, 5532, 1927, 3842, 11800, 269, 4495, 3773, 547, 519, 5832, 267, 519, 9115, 540, 891, 7161, 3112, 581, 12012, 610, 512, 2086, 1229, 609, 267, 1818, 9893, 513, 3810, 6325, 543, 22973, 1062, 269, 4014, 1034, 1004, 12314, 9893, 609, 19116, 899, 11670, 267, 922, 1761, 3096, 8831, 2484, 3564, 2883, 8852, 269, 901, 3184, 6212, 4481, 593, 21578, 267, 513, 11684, 9893, 3760, 602, 2636, 9367, 547, 1628, 18228, 3156, 630, 323, 7343, 338, 1070, 11766, 5100, 11731, 267, 543, 2263, 1585, 946, 2665, 1369, 5752, 267, 11080, 267, 543, 3014, 7097, 532, 4654, 780, 280, 269, 273, 4197, 21578, 692, 1103, 1203, 539, 676, 966, 1388, 1731, 1809, 518, 514, 538, 476, 1001, 274, 543, 9250, 1079, 1296, 2663, 267, 21578, 568, 2808, 513, 2034, 22831, 9893, 1813, 547, 922, 4359, 2934, 3379, 547, 11670, 267, 519, 1101, 5108, 9893, 269, 2755, 1312, 5867, 2671, 930, 10486, 27137, 607, 1210, 741, 5065, 19728, 630, 5930, 585, 21578, 543, 19682, 585, 11670, 264, 547, 7520, 8852, 9789, 344, 8428, 3648, 538, 1374, 6138, 543, 7207, 269, 24641, 11670, 6663, 547, 4196, 607, 513, 9263, 3562, 24406, 518, 5907, 6666, 1062, 267, 21578, 11394, 547, 2709, 1454, 811, 982, 1175, 513, 8569, 3060, 282, 621, 1193, 1161, 547, 581, 513, 2518, 2706, 26367, 5827, 540, 22589, 1950, 12985, 4247, 269, 1306, 971, 267, 21578, 781, 3119, 3804, 568, 547, 5512, 3755, 5001, 547, 2328, 3009, 267, 2196, 3292, 267, 543, 1685, 4238, 593, 922, 18228, 5691, 3684, 1572, 519, 21578, 14044, 10724, 630, 14110, 300, 1040, 2060, 12601, 300, 693, 922, 4295, 267, 21578, 7028, 519, 5137, 540, 546, 7343, 338, 543, 5100, 11731, 267, 7551, 6679, 909, 11995, 7399, 585, 5647, 543, 5698, 780, 280, 269, 274, 1546, 25218, 1242, 10241, 630, 323, 7343, 338, 264, 543, 4256, 11957, 692, 5719, 25218, 1242, 3156, 630, 323, 7343, 338, 264, 616, 3301, 3292, 602, 7500, 8238, 558, 3585, 593, 513, 7856, 3060, 540, 9136, 2864, 982, 4470, 593, 513, 2582, 7746, 610, 6531, 5989, 7307, 676, 513, 1808, 11769, 269, 1635, 16107, 9893, 2029, 267, 546, 7343, 338, 2327, 11413, 267, 3354, 267, 543, 4187, 1996, 24890, 269, 1677, 1174, 1946, 546, 7343, 338, 616, 1271, 267, 2015, 2757, 7817, 1606, 13996, 25121, 1141, 782, 13668, 1780, 998, 513, 3844, 1448, 6417, 676, 606, 3919, 610, 1367, 269, 6270, 6189, 5932, 1896, 2152, 267, 1519, 513, 2582, 1448, 540, 5821, 1981, 267, 7834, 4145, 267, 16126, 593, 10827, 2456, 267, 543, 3908, 10333, 538, 25516, 5054, 780, 3528, 4334, 267, 546, 7343, 338, 9004, 1082, 540, 891, 2042, 676, 26084, 1852, 1851, 5171, 4448, 538, 513, 623, 273, 303, 3060, 269, 1280, 3236, 267, 950, 513, 3593, 15920, 552, 750, 21797, 547, 1776, 2232, 267, 789, 13739, 713, 7662, 547, 1169, 6843, 10283, 538, 519, 21578, 3060, 269, 3962, 6843, 1287, 10446, 2357, 5809, 2436, 519, 30699, 19299, 2614, 3666, 547, 2347, 519, 11834, 269, 16270, 21533, 267, 519, 9136, 9337, 741, 9757, 5299, 540, 519, 24432, 267, 4180, 11007, 2429, 519, 3003, 1062, 269, 901, 1184, 9727, 519, 7915, 6043, 543, 13337, 10892, 3710, 883, 546, 7343, 338, 2094, 1100, 2582, 5428, 666, 13861, 610, 26699, 519, 3060, 781, 5106, 780, 13010, 267, 1317, 546, 7343, 338, 7048, 593, 13618, 6620, 3079, 540, 11967, 3791, 6105, 547, 19472, 8852, 267, 789, 2569, 10512, 3790, 2404, 609, 4509, 7199, 13763, 1247, 2810, 2949, 4398, 269, 9182, 267, 4213, 12561, 546, 7343, 338, 1796, 547, 4324, 689, 4389, 16841, 9276, 267, 29765, 3157, 267, 8476, 6075, 2833, 267, 543, 4824, 9431, 10220, 269, 2368, 2442, 1806, 540, 3811, 546, 7343, 338, 3710, 593, 21578, 1331, 4119, 584, 267, 15303, 334, 298, 527, 2906, 267, 717, 1961, 332, 267, 543, 631, 6033, 6395, 302, 780, 280, 269, 275, 1548, 3657, 12829, 20260, 338, 2496, 27319, 11731, 616, 1582, 7721, 1815, 5024, 11650, 23553, 547, 8850, 14892, 30966, 3527, 2390, 5870, 1978, 2175, 9138, 1369, 519, 4579, 3294, 269, 1358, 2099, 513, 1713, 14634, 538, 3678, 908, 1870, 7954, 543, 14874, 11218, 344, 4220, 3335, 1336, 538, 6671, 3656, 12417, 269, 19162, 590, 345, 629, 334, 267, 606, 1977, 2780, 10196, 267, 1101, 5189, 519, 2856, 540, 5100, 11731, 1394, 538, 476, 1960, 277, 267, 1279, 1354, 519, 4417, 540, 9893, 2029, 269, 1717, 267, 621, 7012, 1405, 2394, 519, 11944, 540, 21578, 602, 5100, 11731, 6591, 7839, 3007, 1813, 547, 741, 15774, 5610, 609, 9893, 5121, 780, 4002, 519, 21578, 9893, 267, 5100, 11731, 2661, 607, 31632, 13892, 6740, 3330, 2027, 4859, 4559, 1634, 607, 6589, 269, 1452, 6589, 2270, 10770, 3965, 2127, 3850, 873, 547, 11677, 1533, 2242, 1256, 1310, 741, 11056, 7475, 269, 1879, 18611, 267, 513, 5100, 4579, 26328, 513, 2189, 2232, 593, 519, 21578, 3060, 267, 7175, 824, 3755, 547, 2170, 609, 621, 676, 11488, 6835, 5627, 3403, 6724, 269, 3958, 267, 5100, 11731, 666, 5968, 609, 835, 1776, 267, 2870, 10427, 3818, 9762, 847, 1949, 602, 2417, 4228, 741, 10626, 780, 2080, 781, 606, 1383, 9183, 20515, 519, 1379, 540, 5100, 11731, 281, 5994, 10519, 532, 856, 707, 19887, 998, 513, 5100, 4579, 11251, 538, 513, 546, 7343, 269, 5502, 540, 27300, 10569, 16924, 543, 19142, 1957, 1740, 267, 519, 15646, 614, 1131, 6494, 552, 750, 21797, 8204, 519, 23934, 13927, 2047, 547, 519, 5100, 4579, 267, 24254, 922, 11852, 269, 30272, 267, 519, 5100, 4579, 1223, 8850, 12260, 519, 7450, 1282, 2638, 2987, 3108, 267, 13182, 4557, 656, 8446, 6054, 267, 17997, 25755, 2474, 267, 4383, 5826, 16131, 267, 543, 5305, 519, 16005, 2390, 25685, 12032, 540, 519, 4557, 3599, 6876, 269, 10801, 713, 3003, 1184, 267, 519, 991, 585, 1480, 6304, 3587, 8766, 267, 3976, 9494, 942, 267, 4227, 6959, 267, 543, 5807, 3152, 3972, 1063, 6105, 3238, 780, 280, 269, 276, 5675, 12829, 20260, 338, 4635, 3752, 7190, 692, 22069, 7190, 568, 513, 1164, 7400, 267, 2493, 1227, 29921, 5752, 1893, 2966, 12799, 585, 3384, 5100, 11731, 593, 519, 21578, 9893, 269, 31603, 676, 3220, 269, 717, 822, 514, 8381, 267, 4168, 1234, 527, 342, 328, 612, 1676, 267, 5981, 645, 699, 7714, 345, 553, 17844, 267, 962, 334, 24734, 670, 4275, 328, 267, 543, 1896, 824, 20334, 267, 3752, 7190, 8843, 4852, 716, 673, 10486, 609, 10084, 29441, 267, 5124, 267, 543, 595, 10030, 267, 1818, 621, 5266, 3015, 585, 1346, 5432, 609, 1843, 15129, 5752, 26336, 269, 4706, 1292, 3334, 2874, 540, 4632, 267, 3252, 267, 1785, 338, 267, 1110, 13294, 267, 2621, 267, 5470, 7829, 6127, 267, 543, 18472, 3270, 1765, 718, 2324, 32069, 547, 5838, 7347, 267, 2226, 762, 267, 543, 3608, 3009, 780, 2691, 1603, 5100, 11731, 538, 3752, 7190, 267, 2141, 1832, 3154, 11938, 2553, 538, 2247, 267, 2016, 602, 1142, 6044, 13401, 593, 21578, 27499, 513, 1507, 2179, 540, 552, 750, 21000, 3990, 607, 834, 326, 553, 1701, 3683, 331, 8504, 3154, 6165, 949, 1267, 538, 11376, 730, 11731, 602, 20818, 11991, 12375, 593, 1439, 268, 22852, 543, 11874, 1764, 519, 2949, 2773, 540, 519, 3060, 269, 4475, 267, 7311, 1655, 2853, 971, 607, 10893, 4756, 4859, 6753, 267, 9319, 17787, 8164, 2009, 267, 543, 12145, 5007, 1599, 7125, 8309, 14320, 2509, 13167, 1942, 15807, 543, 10357, 7888, 3435, 780, 11101, 267, 4152, 543, 2912, 1746, 5100, 11731, 1404, 2629, 5107, 538, 7114, 16426, 543, 12755, 1354, 17293, 269, 13088, 899, 22427, 742, 548, 267, 3816, 1460, 267, 19088, 22567, 267, 744, 344, 25366, 267, 543, 1530, 2017, 1518, 948, 9367, 6952, 12961, 2038, 593, 543, 2327, 5360, 5050, 30582, 2687, 547, 3964, 4441, 269, 22685, 1154, 6101, 19027, 2409, 849, 8591, 606, 3063, 4494, 540, 22059, 3823, 2953, 1145, 543, 3106, 3601, 267, 6038, 29103, 1359, 6015, 538, 5100, 11731, 262, 10727, 543, 4096, 1464, 780, 280, 269, 277, 7351, 12367, 543, 8892, 19648, 692, 2026, 9893, 2029, 5170, 1319, 1005, 267, 865, 798, 922, 5885, 8134, 543, 2645, 1115, 269, 4653, 267, 3875, 3785, 11441, 547, 3986, 21578, 781, 10342, 543, 25382, 267, 5466, 2565, 2591, 5185, 676, 9367, 2679, 1804, 8397, 3156, 269, 7324, 891, 7341, 616, 695, 8973, 267, 2427, 577, 1622, 267, 26736, 2742, 267, 1990, 330, 4149, 301, 2752, 298, 338, 267, 543, 16629, 704, 1765, 26421, 5356, 9621, 4485, 4724, 10970, 11868, 20316, 267, 5355, 11834, 3432, 267, 543, 14304, 3354, 3800, 269, 5015, 267, 4244, 5100, 4579, 5867, 899, 9315, 8457, 267, 15328, 21573, 267, 661, 5308, 267, 17252, 302, 267, 1855, 345, 657, 267, 543, 570, 1258, 14526, 7258, 21578, 267, 3246, 3309, 1646, 3681, 3358, 547, 8795, 2115, 543, 7375, 780, 5194, 6932, 7678, 3322, 10128, 5841, 4987, 630, 9590, 264, 543, 3684, 1565, 630, 7876, 264, 3631, 1369, 5100, 11731, 269, 26157, 3642, 270, 7876, 6620, 609, 9893, 2029, 10741, 909, 3209, 3255, 585, 12747, 3375, 6194, 267, 16762, 12642, 267, 2123, 1436, 267, 543, 3082, 2032, 269, 16480, 267, 6220, 3642, 270, 7876, 2609, 3340, 6297, 7156, 540, 5683, 6286, 267, 12886, 267, 14619, 267, 2491, 1464, 267, 12477, 267, 543, 7939, 267, 2523, 6236, 519, 1799, 17014, 2470, 540, 9893, 5638, 269, 18601, 891, 3344, 5849, 3743, 10073, 540, 5969, 12967, 4066, 1247, 5009, 12581, 4093, 543, 4264, 2208, 780, 7661, 267, 3695, 13708, 2305, 2994, 543, 7598, 3014, 11707, 1369, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 292, 20273, 814, 1831, 513, 7622, 2012, 538, 519, 1158, 540, 15170, 543, 9893, 2029, 269, 21578, 814, 7153, 607, 513, 3014, 7302, 9734, 269, 1403, 596, 2461, 11842, 267, 968, 1432, 568, 21578, 267, 543, 875, 1281, 621, 960, 9495, 596, 4076, 2097, 547, 519, 1318, 1747, 269, 769, 713, 3102, 3391, 267, 649, 3580, 19586, 519, 14960, 540, 21578, 267, 689, 922, 27299, 547, 922, 4052, 3156, 269, 6787, 596, 2461, 513, 19023, 21888, 27423, 610, 513, 30226, 518, 267, 713, 2376, 786, 1683, 3407, 4030, 883, 21578, 563, 1432, 568, 21578, 888, 292, 20273, 267, 1419, 5219, 547, 607, 519, 968, 16447, 2780, 2223, 568, 513, 18228, 267, 1930, 21299, 9893, 3760, 269, 9521, 11670, 267, 799, 5097, 5713, 607, 3059, 4154, 267, 21578, 4422, 3564, 1373, 1175, 513, 3059, 9304, 269, 898, 6087, 9367, 547, 1711, 18228, 3156, 630, 6395, 653, 338, 264, 543, 5100, 11731, 593, 922, 9893, 563, 763, 19606, 540, 21578, 454, 292, 20273, 267, 1419, 5219, 547, 607, 519, 2034, 22831, 9893, 267, 729, 6069, 676, 513, 1762, 17354, 3957, 966, 1388, 1731, 1809, 518, 514, 538, 3735, 476, 1001, 274, 269, 1809, 518, 514, 19424, 539, 513, 9893, 533, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 19766, 21585, 1315, 14691, 1315, 10632, 1315, 10794, 14644, 532, 19932, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 4197, 20971, 1488, 4226, 1674, 998, 519, 30776, 540, 9483, 16844, 692, 8702, 547, 713, 3078, 3408, 883, 519, 1158, 540, 3486, 4123, 543, 5092, 256, 4653, 267, 649, 786, 1451, 827, 513, 4241, 1523, 1572, 834, 514, 4034, 618, 32404, 2437, 799, 4249, 513, 2629, 1909, 538, 20547, 13882, 1063, 2477, 543, 4914, 9520, 269, 1284, 786, 849, 3605, 875, 621, 12211, 547, 513, 1747, 1572, 5839, 7776, 543, 922, 3460, 2509, 2804, 4763, 269, 1924, 1577, 781, 4685, 1318, 538, 2439, 5331, 596, 723, 513, 21097, 1796, 267, 543, 707, 7023, 16976, 789, 1616, 547, 1902, 538, 1818, 707, 1870, 8273, 543, 1732, 269, 1358, 1683, 3606, 2200, 899, 19790, 976, 267, 4006, 267, 543, 11680, 269, 8625 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 825, 1003, 318, 272, 815, 703, 9272, 9497, 8923, 4283, 707, 1101, 1297, 27363, 825, 1003, 318, 273, 815, 703, 9272, 9497, 8923, 4283, 707, 2034, 1297, 8442, 2020, 825, 2040, 8548, 738, 328, 6473, 815, 1003, 318, 272, 2608, 1003, 318, 273, 692, 825, 1820, 9497, 763, 2040, 540, 891, 2338, 568, 257, 1341, 1193, 630, 8999, 8548, 738, 328, 6473, 11723, 825, 8691, 630, 2020, 1012, 692, 3698, 6498, 630, 2187, 825, 1003, 318, 272, 815, 703, 9272, 9497, 8923, 4283, 707, 1101, 1297, 27363, 825, 1003, 318, 273, 815, 703, 9272, 9497, 8923, 4283, 707, 2034, 1297, 27363, 825, 692, 825, 2040, 5091, 643, 1707, 815, 1003, 318, 272, 1315, 1003, 318, 273, 692, 825, 1820, 9497, 763, 2040, 540, 891, 2338, 568, 257, 1341, 1193, 630, 8999, 5091, 643, 1707, 11723, 825, 6498, 630, 2020, 1012, 692, 3698, 12408, 630, 2187, 825, 1003, 318, 272, 815, 703, 9272, 9497, 8923, 4283, 707, 1101, 1297, 27363, 825, 1003, 318, 273, 815, 703, 9272, 9497, 8923, 4283, 707, 2034, 1297, 27363, 825, 1003, 318, 274, 815, 703, 9272, 9497, 8923, 4283, 707, 3791, 1297, 267, 4283, 476, 271, 952, 596, 1810, 1405, 1616, 547, 10208, 15042, 2338, 27363, 825, 1003, 318, 275, 815, 703, 9272, 9497, 8923, 4283, 707, 8772, 1297, 267, 4283, 476, 271, 952, 596, 1810, 1405, 1616, 547, 10208, 15042, 2338, 27363, 825, 1003, 318, 276, 815, 703, 9272, 9497, 8923, 4283, 707, 11359, 1297, 267, 4283, 476, 271, 952, 596, 1810, 1405, 1616, 547, 10208, 15042, 2338, 8442, 2020, 825, 2040, 5334, 889, 339, 3555, 815, 1003, 318, 272, 910, 1003, 318, 273, 910, 1003, 318, 274, 910, 1003, 318, 275, 910, 1003, 318, 276, 692, 825, 1820, 9497, 763, 2040, 540, 891, 2338, 568, 257, 1341, 1193, 630, 8999, 5334, 889, 339, 3555, 11723, 825, 12408, 3890, 0, 5035, 8827, 24998, 2187, 825, 1219, 19467, 4311, 267, 15358, 272, 267, 544, 267, 15358, 273, 267, 562, 2187, 13872, 1038, 2407, 21920, 284, 332, 266, 333, 268, 272, 454, 1038, 1247, 544, 285, 271, 543, 562, 285, 271, 10778, 2018, 952, 15358, 272, 314, 332, 268, 272, 316, 3436, 15358, 273, 19559, 268, 272, 14158, 3546, 15358, 272, 314, 21459, 21920, 24557, 333, 4548, 272, 314, 332, 268, 272, 2639, 3546, 544, 284, 332, 268, 272, 454, 2018, 3116, 912, 3546, 15358, 272, 314, 21459, 21920, 24557, 333, 4548, 273, 19559, 268, 272, 2639, 3546, 562, 284, 333, 268, 272, 454, 27030, 2018, 2407, 21920, 284, 21459, 21920, 268, 272, 454, 27030, 1038, 1247, 562, 285, 271, 912, 2018, 15358, 272, 314, 21459, 21920, 24557, 333, 4548, 273, 19559, 268, 272, 2639, 2018, 562, 284, 333, 268, 272, 454, 2018, 2407, 21920, 284, 21459, 21920, 268, 272, 454, 0, 18411, 10818, 547, 1265, 795, 3147, 731, 16726, 692, 18257, 692, 27309, 3582, 318, 2839, 318, 18853, 13052, 815, 476, 271, 454, 27309, 3582, 318, 18853, 13052, 815, 476, 272, 454, 291, 8016, 9331, 7728, 318, 2316, 307, 4041, 318, 18853, 13052, 815, 476, 273, 454, 306, 7728, 9970, 318, 18853, 13052, 815, 476, 274, 454, 25278, 5085, 318, 18853, 13052, 815, 476, 275, 19638, 3698, 1205, 19553, 3147, 731, 5334, 574, 19304, 272, 267, 1193, 273, 2567, 3097, 825, 23288, 825, 1677, 1265, 808, 3147, 731, 16726, 454, 825, 1193, 272, 281, 22054, 476, 272, 454, 825, 1193, 273, 281, 22054, 476, 273, 454, 825, 2132, 281, 808, 3147, 731, 5381, 640, 24143, 910, 2271, 454, 825, 23288, 825, 513, 815, 1305, 19304, 272, 21858, 28829, 3097, 825, 536, 815, 1305, 19304, 273, 21858, 15405, 825, 524, 815, 513, 269, 5793, 7611, 6357, 994, 825, 6060, 815, 7003, 6262, 264, 1315, 630, 6352, 5416, 264, 1341, 7003, 6357, 264, 910, 7003, 6262, 4917, 825, 952, 6060, 3436, 476, 271, 269, 276, 912, 1038, 2132, 476, 272, 454, 825, 2132, 476, 271, 454, 825, 1948, 8873, 7003, 6262, 4297, 1315, 630, 6352, 5416, 264, 1341, 7003, 6357, 264, 910, 7003, 6262, 2020, 692, 3698, 2203, 16597, 2187, 825, 23288, 825, 1677, 1265, 808, 3147, 731, 5381, 640, 543, 4890, 10297, 454, 825, 1239, 281, 2776, 15263, 539, 10471, 910, 1592, 454, 825, 2132, 912, 825, 4890, 9078, 8475, 281, 2920, 783, 6003, 540, 10471, 910, 1592, 454, 825, 12605, 9078, 8475, 281, 808, 3147, 731, 20530, 2109, 6003, 910, 1592, 454, 825, 15981, 692, 825, 1820, 2891, 11767, 532, 808, 3147, 731, 5381, 640, 9074, 5602, 825, 4890, 9078, 8475, 815, 11713, 825, 12605, 9078, 8475, 815, 11713, 825, 585, 4737, 538, 1239, 912, 1038, 4890, 9078, 8475, 6910, 17301, 21405, 314, 25278, 5085, 318, 18853, 13052, 28413, 1038, 12605, 9078, 8475, 6910, 263, 1326, 19553, 3147, 731, 5334, 574, 21405, 314, 27309, 3582, 318, 18853, 13052, 3910, 4737, 314, 306, 7728, 9970, 318, 18853, 13052, 8079, 2020, 825, 2132, 4890, 9078, 8475, 267, 12605, 9078, 8475 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 610, 1762, 3283, 269, 1358, 4235, 5144, 3812, 676, 741, 11299, 262, 4703, 543, 1419, 2154, 3573, 1416, 1282, 741, 2038, 5933, 540, 1272, 269, 6201, 1331, 1480, 12256, 267, 29067, 267, 543, 535, 1177, 985, 630, 321, 17879, 13650, 1916, 265, 16819, 9002, 24011, 689, 5798, 9788, 676, 741, 3237, 269, 2368, 6177, 2249, 267, 971, 607, 3775, 1231, 543, 4544, 18346, 267, 3049, 741, 32138, 609, 1036, 4026, 18469, 1426, 267, 1247, 1866, 3142, 840, 19295, 14954, 6980, 1394, 547, 519, 9566, 563, 265, 1234, 696, 850, 9002, 849, 24011, 689, 5798, 855, 723, 3982, 3604, 3379, 547, 6177, 24011, 13530, 269, 1280, 3236, 267, 25438, 559, 2103, 10836, 689, 2182, 1606, 17850, 539, 5798, 543, 4309, 2370, 15366, 1416, 2390, 554, 10248, 563, 265, 2549, 874, 756, 1014, 9002, 10929, 23009, 2670, 12544, 1184, 5473, 1713, 2168, 2242, 31539, 512, 611, 335, 3421, 547, 20883, 610, 2892, 600, 32752, 563, 265, 12551, 26650, 543, 9416, 13530, 2099, 519, 10867, 3942, 540, 12748, 1272, 269, 1452, 9241, 11058, 3481, 1814, 1562, 4096, 593, 1216, 14768, 585, 6668, 1354, 3395, 883, 9921, 4079, 563, 265, 24538, 562, 8233, 338, 543, 16793, 2981, 883, 2937, 12961, 3842, 16795, 610, 2347, 23009, 2670, 780, 6637, 476, 274, 281, 5020, 853, 1137, 543, 4886, 692, 2026, 5018, 4505, 267, 1082, 4816, 2831, 1995, 27290, 2242, 2429, 741, 1646, 269, 769, 713, 3184, 267, 649, 786, 5490, 4514, 883, 891, 13289, 543, 1865, 1585, 2208, 19325, 2066, 1896, 3454, 21978, 2516, 780, 265, 3026, 517, 7614, 1974, 281, 589, 5618, 5123, 5612, 1739, 4332, 1141, 20169, 11864, 7048, 8185, 593, 14774, 4027, 543, 6484, 563, 265, 19565, 3942, 281, 1323, 6905, 27139, 1974, 1063, 26638, 543, 18273, 6353, 676, 4028, 2208, 27513, 1206, 543, 2799, 7115, 563, 265, 10658, 22360, 270, 3849, 3421, 12412, 281, 20351, 30553, 4386, 267, 3056, 547, 12093, 7207, 563, 265, 7354, 525, 12412, 281, 7849, 10172, 1184, 4611, 538, 8519, 12680, 543, 2949, 1072, 7771, 780, 9961, 1142, 1272, 3942, 267, 3662, 2623, 9775, 3648, 1759, 593, 2825, 2188, 267, 1514, 4205, 267, 543, 17916, 26756, 269, 4197, 891, 10848, 2636, 3173, 547, 2744, 3407, 4030, 883, 12105, 7350, 543, 8733, 6384, 780, 6637, 476, 275, 281, 9977, 531, 5516, 543, 4317, 1436, 692, 6624, 4816, 2831, 4324, 689, 1463, 15366, 9525, 1282, 2565, 5712, 540, 741, 2729, 269, 6270, 5092, 5849, 1697, 1646, 543, 4679, 12272, 1464, 3928, 1851, 15556, 269, 769, 2490, 267, 1134, 5991, 4669, 3293, 2043, 8858, 8476, 5042, 5759, 267, 4824, 4761, 1949, 267, 543, 6793, 1514, 7554, 780, 21122, 531, 5615, 949, 4125, 1022, 4999, 540, 519, 1739, 3527, 1384, 265, 16711, 610, 8023, 454, 265, 14562, 3467, 326, 1637, 630, 10852, 8877, 1560, 2837, 994, 265, 10466, 1996, 11975, 454, 265, 9752, 1898, 1983, 2556, 585, 6668, 692, 2690, 1383, 267, 17707, 31459, 2259, 18497, 1126, 3249, 1572, 834, 718, 558, 1278, 532, 2437, 13296, 1875, 5829, 8951, 5351, 538, 9870, 1608, 1407, 1369, 519, 1895, 269, 6684, 267, 803, 17064, 520, 3640, 2818, 1491, 7140, 3777, 903, 9231, 4996, 1186, 1247, 824, 4079, 6968, 585, 1426, 269, 5637, 7653, 9414, 519, 2956, 540, 7104, 1489, 538, 4180, 6099, 4093, 585, 2104, 5481, 780, 6637, 476, 276, 281, 26812, 3215, 12700, 6168, 10960, 9040, 625, 692, 2414, 16833, 909, 938, 3408, 540, 3662, 9002, 267, 1577, 781, 2671, 930, 10578, 22619, 23605, 602, 5031, 1175, 875, 9058, 891, 7068, 5963, 616, 2439, 265, 918, 836, 16619, 657, 4163, 741, 3675, 324, 903, 630, 9767, 978, 3283, 264, 3330, 533, 537, 2583, 585, 3275, 1310, 4332, 282, 789, 3136, 8808, 1279, 1310, 6932, 689, 519, 8825, 5485, 563, 265, 4239, 641, 4926, 2482, 5215, 540, 5798, 8195, 267, 1368, 8973, 873, 18979, 569, 2394, 789, 24011, 269, 4495, 4535, 267, 12354, 22455, 16793, 20847, 2059, 5836, 14768, 1354, 23928, 1524, 5196, 519, 13837, 331, 3233, 547, 2253, 741, 22072, 6228, 563, 265, 14890, 533, 21315, 32138, 1020, 5394, 6106, 540, 1025, 889, 828, 547, 7639, 535, 3419, 573, 21303, 5210, 269, 4256, 3237, 14595, 12391, 585, 873, 1282, 10792, 5162, 2175, 950, 10122, 3587, 4101, 1813, 547, 4262, 4672, 5250, 563, 265, 667, 20462, 514, 1608, 1407, 3251, 2673, 547, 741, 11299, 262, 5011, 585, 1296, 267, 1565, 4105, 10977, 2553, 543, 4044, 1049, 2994, 689, 4810, 10540, 2818, 780, 6962, 692, 3528, 6313, 519, 3309, 1158, 540, 3662, 9002, 267, 649, 666, 5660, 519, 6988, 543, 5898, 7915, 538, 2470, 269, 5664, 1153, 1053, 1631, 4865, 13654, 1702, 3823, 1585, 1272, 5933, 267, 15366, 1416, 2853, 267, 543, 9159, 2934, 17820, 676, 3875, 3454, 21978, 2516, 269, 2060, 15398, 4656, 543, 4797, 22906, 267, 1927, 649, 666, 3565, 2509, 11091, 3646, 6322, 693, 17420, 3047, 781, 10475, 7320, 5095, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 23087, 2467, 568, 2760, 606, 28195, 585, 1753, 1153, 539, 1453, 547, 581, 19252, 269, 901, 6241, 14592, 930, 2635, 267, 1187, 267, 543, 3872, 2238, 547, 1832, 707, 1453, 13026, 1310, 1153, 2336, 2467, 568, 2760, 606, 28195, 585, 1753, 1153, 539, 1453, 547, 581, 19252, 563, 1607, 6241, 14592, 930, 2635, 267, 1187, 267, 543, 3872, 2238, 547, 1832, 707, 1453, 13026, 1310, 1153, 2336, 3080, 540, 519, 7887, 829, 802, 547, 1753, 2069, 568, 519, 4398, 540, 519, 1505, 269, 6056, 540, 782, 519, 942, 24906, 538, 1153, 281, 16298, 909, 547, 946, 519, 19880, 267, 16298, 909, 585, 12899, 267, 16298, 909, 547, 979, 856, 585, 12424, 267, 543, 1287, 16298, 909, 1586, 547, 2097, 538, 267, 543, 6368, 16298, 909, 547, 4734, 519, 4928, 693, 519, 1439, 540, 519, 1554, 269, 901, 1281, 711, 1256, 1293, 519, 942, 6170, 2469, 547, 543, 689, 519, 1153, 2679, 563, 2005, 568, 2653, 585, 1753, 18375, 3885, 547, 798, 1732, 982, 602, 269, 2755, 3214, 538, 15839, 543, 27341, 3506, 13793, 909, 741, 25151, 538, 519, 9376, 518, 4055, 543, 7227, 2394, 3025, 568, 27206, 547, 1376, 4245, 267, 938, 1053, 991, 1152, 4584, 909, 741, 22796, 543, 1930, 519, 535, 15077, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 27154, 9040, 625, 257, 607, 851, 540, 834, 16300, 16337, 1315, 12292, 1315, 17926, 12292, 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, 18519, 4832, 10543, 950, 594, 1101, 16686, 2390, 744, 9188, 8124, 543, 26057, 269, 634, 2594, 6300, 8227, 267, 606, 2025, 812, 609, 5923, 6853, 12457, 4552, 543, 5180, 4715, 8163, 267, 5227, 621, 547, 803, 609, 513, 6616, 12837, 269, 968, 2791, 4465, 1406, 26845, 713, 835, 2223, 646, 1767, 267, 1010, 5639, 18923, 1657, 513, 22090, 704, 269, 1306, 594, 19942, 1864, 1250, 2724, 267, 646, 3773, 267, 968, 4517, 1810, 1406, 7340, 547, 6432, 5702, 547, 2048, 1607, 4024, 2142, 3776, 5729, 10200, 1411, 3580, 1174, 1946, 2899, 596, 5873, 621, 14325, 12988, 1753, 267, 594, 5402, 5116, 519, 24064, 2643, 5196, 1250, 2881, 660, 762, 543, 14478, 607, 621, 3459, 547, 8095, 269, 3245, 519, 6679, 4967, 540, 968, 290, 4331, 22067, 5851, 2223, 594, 6785, 594, 729, 6947, 547, 1945, 2027, 269, 1703, 729, 1945, 827, 1346, 6946, 23964, 267, 20807, 532, 4938, 1023, 267, 543, 1093, 17257, 18405, 602, 12038, 2047, 547, 1250, 9997, 269, 1809, 1018, 729, 621, 4010, 602, 1500, 713, 17581, 865, 9159, 267, 1256, 5756, 1310, 922, 5305, 2496, 291, 904, 5828, 883, 4374, 267, 543, 594, 1336, 8885, 533, 1681, 936, 1169, 1469, 540, 519, 17581, 1107, 689, 519, 18932, 31627, 547, 519, 19621, 11430, 878, 1143, 269, 1656, 1287, 835, 1554, 267, 1247, 7234, 621, 609, 1250, 3659, 25455, 267, 945, 5949, 547, 2671, 1250, 16012, 31117, 267, 649, 5734, 2390, 519, 2626, 780, 2108, 8855, 875, 2098, 4861, 625, 4395, 2006, 2051, 514, 2349, 684, 7723, 4330, 741, 3280, 9495, 25455, 4280, 267, 521, 6235, 1010, 6995, 24617, 269, 1284, 941, 9361, 538, 938, 5172, 22538, 2946, 267, 11303, 676, 519, 4313, 532, 24710, 540, 28448, 2666, 10365, 543, 3636, 3694, 269, 968, 3891, 1572, 621, 2048, 854, 2296, 10086, 1318, 9495, 692, 296, 21330, 267, 11291, 532, 875, 2349, 684, 7723, 6045, 602, 789, 16668, 8185, 689, 3703, 7574, 5389, 899, 12068, 1402, 543, 519, 19468, 956, 269, 901, 12760, 2813, 1945, 7357, 2189, 2943, 7184, 5432, 267, 13267, 547, 9118, 824, 12372, 3168, 547, 1286, 557, 856, 741, 1378, 9163, 1369, 519, 5318, 5251, 540, 2442, 2575, 780, 297, 820, 4797, 267, 968, 3719, 972, 781, 811, 547, 621, 982, 1175, 1373, 1412, 12626, 9538, 19415, 547, 891, 13475, 1586, 267, 2519, 593, 519, 13047, 11745, 625, 543, 519, 3929, 8515, 3297, 873, 269, 1358, 3717, 547, 8471, 2833, 543, 4664, 267, 1818, 721, 1745, 4448, 711, 1152, 547, 1142, 824, 855, 849, 547, 519, 6512, 2818, 2933, 14325, 2026, 649, 1642, 1386, 4514, 883, 938, 6643, 267, 649, 7691, 602, 519, 3020, 1379, 540, 744, 9188, 8124, 543, 26057, 2482, 538, 922, 2702, 547, 16637, 13796, 6302, 269, 4706, 3408, 540, 2648, 267, 2530, 267, 4126, 267, 543, 21817, 5433, 1312, 7525, 543, 18163, 267, 3850, 621, 547, 2611, 4143, 1279, 1310, 922, 3312, 5305, 4266, 780, 5978, 4901, 5555, 3366, 721, 1394, 547, 519, 1641, 540, 9371, 543, 875, 744, 9188, 8124, 543, 26057, 5170, 547, 8300, 4207, 12372, 269, 20551, 899, 18307, 564, 16737, 525, 543, 717, 686, 3960, 569, 19594, 723, 16175, 11855, 519, 17581, 607, 513, 2101, 3310, 593, 741, 960, 267, 19696, 922, 5499, 1935, 547, 10103, 543, 11460, 780, 3719, 5310, 519, 6574, 15266, 547, 744, 9188, 8124, 543, 26057, 781, 11972, 1764, 2501, 689, 519, 1259, 621, 18953, 1367, 2729, 269, 1280, 803, 267, 12423, 713, 20100, 6039, 607, 513, 12576, 540, 519, 7096, 5898, 602, 6818, 1369, 1148, 543, 2575, 1107, 513, 18941, 16079, 539, 676, 1866, 945, 3180, 519, 17581, 15210, 780, 6546, 3781, 267, 11439, 609, 17105, 7071, 585, 519, 9059, 8659, 1369, 1346, 9240, 7174, 267, 594, 8120, 547, 1250, 2881, 660, 762, 543, 12628, 519, 13549, 5196, 2427, 589, 2899, 811, 269, 1306, 519, 11599, 4992, 4904, 1250, 4055, 267, 594, 7948, 1405, 948, 855, 14952, 693, 519, 13710, 1379, 540, 1390, 1148, 543, 519, 26837, 4192, 27559, 540, 744, 9188, 8124, 543, 26057, 269, 0, 2237, 513, 8903, 1650, 1644, 547, 519, 1739, 1257, 6256, 912, 22081, 723, 7766, 5481, 540, 12372, 1044, 6766, 676, 834, 302, 9188, 8124, 543, 26057, 2437, 543, 1018, 2609, 540, 519, 17581, 3136, 547, 13469, 609, 19700, 2221, 888, 296, 798, 711, 723, 2123, 8369, 593, 2575, 267, 855, 1775, 666, 1683, 930, 1344, 269, 8528, 257, 3941, 8124, 543, 522, 20432, 257, 814, 1185, 513, 1713, 3310, 593, 7766, 5481, 540, 12372, 269, 922, 5152, 8586, 267, 12417, 267, 543, 13047, 11745, 625, 723, 6273, 1082, 5159, 2066, 513, 3099, 540, 11964, 267, 1519, 967, 773, 267, 12563, 267, 543, 1402, 780, 821, 540, 519, 1034, 8037, 2609, 540, 519, 17581, 568, 922, 946, 540, 13047, 11745, 625, 267, 799, 723, 1044, 900, 4327, 676, 3875, 5159, 267, 971, 607, 18239, 29372, 543, 17680, 3960, 569, 7703, 269, 519, 17581, 781, 16471, 540, 3046, 20529, 1402, 267, 20369, 32676, 545, 4224, 267, 543, 12563, 7506, 814, 849, 1044, 9565, 593, 7766, 5481, 540, 12372, 780, 1492, 17581, 781, 2375, 633, 543, 22161, 8826, 18405, 723, 849, 6949, 730, 609, 19700, 267, 3226, 519, 8964, 834, 5503, 540, 519, 4005, 257, 543, 834, 10472, 786, 581, 938, 1032, 1701, 519, 17581, 781, 15851, 2298, 814, 4847, 621, 547, 3136, 547, 9029, 547, 15073, 10640, 763, 1650, 3085, 1406, 991, 547, 2446, 3388, 538, 519, 6256, 267, 946, 621, 1175, 585, 6667, 543, 581, 3860, 2336, 763, 1650, 1058, 6451, 519, 1739, 2609, 912, 268, 15511, 281, 519, 1650, 1590, 4183, 693, 2547, 835, 6209, 5188, 602, 8761, 1915, 3178, 267, 8441, 519, 4729, 267, 610, 28807 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2519, 593, 835, 610, 811, 540, 519, 1739, 2609, 269, 13191, 2363, 516, 267, 676, 1347, 19714, 11487, 974, 267, 729, 1101, 3370, 538, 476, 7277, 278, 896, 536, 3224, 525, 15554, 7716, 267, 1225, 8175, 11350, 269, 634, 26841, 540, 3020, 543, 6986, 2648, 538, 1347, 19714, 536, 3224, 525, 795, 2033, 2363, 516, 269, 3245, 519, 9089, 6679, 11271, 547, 922, 2673, 267, 795, 2033, 14509, 513, 3099, 540, 5931, 269, 901, 1603, 23607, 795, 2033, 521, 4555, 1354, 1352, 4422, 1394, 547, 555, 1941, 7615, 538, 519, 1349, 689, 3184, 476, 3607, 269, 2568, 280, 476, 14983, 274, 476, 10755, 278, 476, 10219, 278, 476, 13970, 271, 476, 4366, 280, 476, 4343, 476, 1704, 476, 15946, 278, 476, 278, 2190, 476, 28071, 476, 13040, 271, 476, 279, 4200, 476, 2568, 275, 476, 12553, 272, 476, 13893, 278, 476, 280, 2767, 476, 278, 5655, 476, 277, 1240, 476, 276, 4037, 476, 4817, 277, 476, 25953, 476, 26605, 476, 32699, 476, 14056, 275, 476, 14338, 274, 476, 278, 2641, 476, 16020, 476, 279, 2190, 476, 277, 7176, 476, 6321, 476, 277, 4792, 476, 4200, 278, 0, 763, 2915, 779, 4522, 616, 711, 2973, 267, 799, 666, 1291, 547, 7510, 27695, 543, 31470, 26628, 269, 4495, 513, 11810, 568, 4646, 630, 1492, 6960, 25188, 541, 693, 519, 22882, 540, 4522, 543, 5072, 264, 621, 3217, 513, 2603, 540, 4674, 547, 2973, 269, 1809, 952, 2451, 4805, 267, 5243, 786, 1376, 547, 6336, 741, 4522, 950, 789, 616, 1762, 267, 543, 5694, 1416, 1058, 1376, 689, 6689, 269, 11374, 786, 6338, 1079, 2081, 547, 11453, 707, 2915, 779, 4522, 912, 272, 269, 11162, 707, 2915, 779, 4522, 609, 513, 2571, 24621, 610, 513, 21149, 656, 12238, 2763, 14950, 267, 543, 1287, 4019, 13342, 10433, 547, 707, 4522, 543, 14779, 609, 10412, 21181, 269, 898, 568, 1336, 602, 972, 568, 15895, 1426, 538, 519, 4522, 267, 799, 666, 581, 8930, 3481, 856, 609, 1507, 17408, 14162, 619, 563, 273, 269, 11162, 4522, 543, 14779, 609, 2915, 28750, 543, 26025, 630, 19989, 538, 4620, 6300, 1070, 855, 798, 711, 6299, 4522, 1394, 543, 8521, 269, 1403, 596, 666, 1406, 4444, 513, 2915, 28750, 538, 707, 1858, 267, 519, 2571, 28750, 585, 1453, 666, 849, 581, 8719, 269, 1809, 2760, 946, 1480, 26025, 547, 11453, 519, 2915, 779, 4522, 267, 799, 786, 2014, 519, 2915, 779, 9667, 1062, 9636, 269, 4340, 547, 519, 5528, 593, 519, 6003, 540, 4620, 26025, 267, 11453, 519, 4522, 609, 3617, 2179, 540, 26025, 267, 543, 11453, 519, 5920, 540, 1142, 5694, 2899, 269, 769, 519, 1101, 1906, 2053, 267, 519, 2915, 786, 2196, 689, 1747, 547, 1747, 1317, 621, 568, 711, 1031, 547, 621, 269, 634, 8227, 1058, 948, 621, 547, 3082, 3461, 569, 269, 5457, 547, 1419, 3049, 4195, 5388, 543, 5613, 3638, 538, 8324, 543, 1164, 6775, 269, 898, 779, 15528, 547, 1039, 930, 2027, 2915, 16152, 543, 21400, 10733, 267, 971, 607, 11315, 543, 26546, 2915, 536, 4593, 7057, 267, 538, 1840, 547, 2915, 1426, 269, 1879, 21400, 267, 621, 666, 6299, 519, 2627, 540, 4522, 267, 799, 568, 5363, 585, 5711, 7738, 563, 6624, 5411, 540, 623, 22701, 3150, 5243, 1589, 602, 741, 5243, 3548, 7444, 267, 865, 789, 1152, 2285, 873, 2571, 5779, 269, 769, 1249, 267, 741, 4522, 991, 547, 581, 4378, 539, 4749, 267, 799, 568, 5739, 547, 519, 2834, 18915, 6514, 269, 1879, 2556, 267, 789, 979, 547, 513, 6325, 6413, 547, 11547, 741, 5243, 685, 4522, 269, 14068, 4522, 711, 1152, 3142, 2178, 10300, 527, 2670, 267, 855, 849, 12517, 1860, 922, 14031, 543, 6484, 6981, 267, 543, 2047, 3142, 8801, 2360, 593, 1072, 269, 0, 288, 5299, 540, 713, 960, 729, 2139, 593, 519, 1857, 1357, 543, 814, 1044, 12873, 538, 519, 10158, 3724, 10724, 269, 634, 7001, 7389, 689, 476, 1001, 279, 282, 596, 666, 849, 3643, 519, 3312, 15745, 563, 763, 3758, 1826, 568, 454, 529, 513, 7548, 540, 2039, 2257, 538, 15760, 308, 781, 4972, 540, 6715, 13577, 10334, 269, 7917, 808, 269, 22374, 568, 606, 14357, 693, 519, 17865, 8235, 4975, 2160, 4659, 269, 634, 30920, 616, 2407, 540, 2010, 543, 20224, 602, 21843, 519, 14205, 1640, 952, 649, 786, 1930, 938, 4064, 547, 1294, 873, 269, 1306, 9478, 12197, 532, 5062, 3519, 330, 773, 5206, 267, 834, 15228, 2513, 338, 616, 519, 15851, 543, 8471, 1893, 538, 799, 2696, 267, 538, 1010, 7326, 267, 814, 6074, 547, 4001, 1010, 22258, 543, 7703, 7198, 540, 1010, 12312, 1701, 476, 272, 1452, 6698, 1331, 834, 325, 520, 13906, 281, 273, 341, 916, 320, 275, 551, 329, 9071, 6447, 321, 629, 20660, 276, 339, 277, 3691, 278, 340, 0, 15430, 3569, 538, 3474, 3530, 514, 13813, 281, 20010, 585, 674, 2426, 328, 27264, 538, 11822, 12524, 10417, 454, 2704, 1492, 320, 6481, 4750, 454, 288, 1434, 4015, 540, 13271, 2528, 666, 581, 9738, 609, 1434, 11091, 2409, 269, 2060, 3617, 2409, 267, 11091, 666, 581, 5340, 538, 1970, 1532, 644, 1326, 20682, 267, 971, 607, 609, 13350, 23658, 11857, 543, 11091, 538, 2901, 25062, 1216, 610, 538, 1612, 3530, 514, 3282, 269, 634, 2832, 540, 713, 1353, 729, 547, 2708, 519, 23812, 267, 19916, 267, 12526, 267, 543, 30624, 25193, 18687, 9043, 540, 13271, 12873, 538, 25062, 1216, 610, 1612, 3530, 514, 3282, 3379, 547, 513, 13350, 23658, 11857, 269, 10613, 281, 901, 1353, 729, 606, 454, 1862, 1353, 729, 606, 8097, 1353, 1210, 1306, 704, 326, 22346, 838, 1421, 2558, 747, 4451, 2023, 6497, 698, 15577, 5052, 543, 15443, 5866, 11549, 15092, 269, 634, 13271, 941, 12873, 676, 513, 13350, 23658, 11857, 610, 538, 25062, 1216, 610, 538, 1612, 3530, 514, 3282, 585, 3670, 3275, 269, 589, 6476, 540, 23812, 267, 19916, 267, 12526, 267, 543, 30624, 25193, 18687, 9043, 1063, 2409, 941, 1500, 1354, 543, 1310, 3670, 3275, 540, 1353, 269, 11778, 281, 634, 23812, 540, 782, 519, 13271, 729, 9738, 538, 1312, 13350, 23658, 11857, 543, 11091, 609, 1612, 3530, 514, 3282, 269, 1717, 267, 519, 570, 269, 6497, 698, 15577, 5052, 729, 711, 14323, 538, 11091, 1210, 25062, 1216, 269, 2353, 2409, 1223, 2226, 519, 19916, 1510, 12526, 269, 1703, 941, 20214, 538, 519, 22629, 7997, 1996, 30624, 25193, 3075, 538, 11091, 609, 25062, 1216, 543, 1612, 3530, 514, 3282, 269, 10390, 281, 27264, 538, 1612, 3530, 514, 3282, 568, 9120, 547, 11091, 538, 25062, 1216, 538, 2474, 540, 4509, 16507, 23812, 269, 901, 1505, 568, 5078, 585, 519, 946, 538, 513, 2241, 8047, 267, 23344, 9270, 1058, 581, 2016, 547, 519, 5786, 540, 22629, 7997, 269, 0, 288, 5299, 540, 713, 960, 729, 2139, 593, 519, 1857, 1357, 543, 814, 1044, 12873, 538, 519, 10158, 3724, 10724, 269, 634, 7001, 7389, 689, 476, 1001, 278, 282, 596, 666, 849, 3643, 519, 3312, 15745, 563, 763, 3758, 1826, 568, 454, 283, 335, 1362, 6889, 23981, 22969, 2026, 4457, 2757, 12563, 2528, 267, 12563, 3756, 723, 2189, 3872, 1871, 799, 666, 5818, 519, 1646, 540, 1762, 1453, 781, 5386, 5179, 269, 9122, 593, 3105, 7634, 540, 5386, 5179, 5578, 540, 1453, 538, 15089, 577, 784, 267, 590, 747, 10224, 19435, 267, 519, 11001, 8359, 513, 1647, 1362, 538, 1857, 2749, 9656, 589, 609, 2539, 5619, 6060, 607, 519, 1353, 1843, 269, 634, 1362, 609, 2539, 1377, 593, 5386, 5179, 5578, 729, 1305, 607, 606, 6304, 1895, 543, 519, 824, 1362, 607, 513, 1852, 1895, 547, 2932, 740, 16211, 281, 1015, 269, 4649, 274, 280, 270, 625, 18192, 280, 333, 280, 335, 9340, 3170, 13906, 281, 274, 333, 336, 604, 320, 278, 343, 345, 329, 323, 1076, 321, 335, 330, 276, 323, 273, 338, 278, 339, 274, 7032, 0, 16978, 10635, 8707, 8596, 585, 4731, 778, 924, 3039, 1759, 593, 3327, 17675, 6289, 558, 17467, 454, 6597, 807, 10713, 527, 15384, 9040, 324, 286, 268, 289, 8432, 2967, 6314, 807, 454, 306, 24678, 24470, 616, 4922, 1031, 538, 1082, 4610, 267, 971, 607, 19135, 2872, 267, 15229, 267, 30143, 267, 1957, 2872, 543, 1082, 1866, 269, 9603, 547, 741, 17219, 267, 789, 1058, 581, 6569, 689, 22837, 1354, 17579, 532, 538, 519, 1604, 269, 769, 1931, 547, 3313, 519, 4398, 540, 519, 8851, 1184, 267, 1114, 2409, 616, 1031, 547, 3713, 15244, 540, 24470, 538, 3653, 31662, 269, 634, 1034, 1031, 616, 4715, 5268, 582, 5852, 543, 674, 8656, 267, 2705, 519, 7199, 3937, 543, 7294, 4152, 1184, 1118, 891, 2409, 2352, 547, 946, 563, 1862, 2352, 547, 946, 269, 2201, 519, 14669, 267, 6850, 23755, 8596, 723, 2789, 5383, 971, 607, 2110, 3210, 942, 267, 1970, 3902, 543, 1574, 1465, 547, 946, 269, 769, 713, 2796, 267, 1896, 6850, 23755, 8596, 1759, 593, 1007, 3327, 17675, 2326, 941, 2919, 543, 6353, 269, 12539, 31407, 25683, 267, 22130, 543, 15181, 3327, 689, 2806, 625, 562, 867, 10458, 10005, 25862, 1927, 609, 715, 2378, 542, 941, 1031, 547, 12189, 519, 2627, 540, 513, 4837, 344, 3327, 19650, 676, 6749, 16213, 269, 634, 4611, 9168, 22809, 941, 7318, 676, 17335, 3008, 309, 543, 993, 704, 5852, 585, 5689, 778, 924, 5682, 7020, 538, 25694, 3435, 267, 2348, 1970, 7020, 7182, 538, 519, 1931, 540, 13179, 300, 269, 0, 288, 5299, 540, 713, 960, 729, 2139, 593, 519, 1857, 1357, 543, 814, 1044, 12873, 538, 519, 10158, 3724, 10724, 269, 634, 7001, 7389, 689, 476, 1708, 272, 282, 596, 666, 849, 3643, 519, 3312, 15745, 563, 763, 3758, 1826, 568, 454, 15761, 3153, 2825, 15088, 971, 607, 7286, 3002, 30335, 630, 300, 295, 310, 338, 264, 666, 723, 14042, 2360, 593, 5117, 1072, 543, 8647, 998, 4028, 2551, 23229, 543, 3186, 8494, 5314, 540, 512, 13116, 4205, 269, 1717, 267, 2487, 2090, 723, 12006, 602, 2551, 10892, 547, 631, 295, 310, 338, 568, 4756, 267, 609, 930, 5095, 1256, 4324, 1154, 689, 631, 295, 310, 338, 269, 589, 1297, 540, 2188, 666, 2491, 8390, 538, 6114, 1063, 5095, 1519, 741, 4719, 8390, 267, 3105, 8143, 1995, 543, 519, 8742, 281, 1015, 269, 8099, 272, 270, 1708, 271, 269, 5400, 269, 1839, 269, 25784, 271, 2764, 3170, 13906, 281, 1910, 329, 339, 343, 333, 330, 275, 331, 345, 8619, 276, 335, 30795, 597, 276, 345, 1415, 325, 342, 275, 0, 2252, 596, 1131, 899, 547, 10210, 3688, 538, 513, 1893, 824, 982, 2296, 267, 610, 1265, 1489, 547, 2087, 707, 2296, 267, 596, 3580, 1265, 513, 2039, 540, 3681, 693, 519, 5399, 563, 2171, 2709, 513, 2039, 540, 3292, 547, 948, 596, 26821, 2296, 543, 7017, 883, 5245, 952, 596, 616, 1007, 269, 1403, 596, 616, 3168, 585, 1489, 547, 948, 609, 707, 2296, 1983, 267, 596, 1522, 899, 547, 6443, 912, 13981, 2296, 3414, 9452, 5384, 630, 4041, 4811, 994, 288, 26894, 2296, 630, 3519, 951, 566, 4147, 994, 5978, 2039, 540, 3688, 799, 1223, 948, 596, 547, 2087, 707, 2296, 2882, 912, 289, 13308, 4605, 2835, 1107, 25873, 938, 2622, 19932, 4015, 547, 1265, 19636, 4605, 2835, 543, 5000, 707, 1453, 547, 2671, 513, 1650, 538, 2296, 543, 513, 2034, 1893, 3248, 13981, 2296, 4015, 1107, 10812, 938, 2039, 540, 2835, 1519, 4139, 2296, 5678, 13281, 630, 296, 26091, 264, 1353, 10274, 3248, 24375, 940, 2296, 16989, 717, 24612, 22419, 1107, 23850, 585, 19444, 2937, 610, 1762, 2937, 3988, 267, 891, 2835, 616, 7990, 2275, 10757, 547, 1118, 621, 2653, 547, 1265, 707, 1377, 543, 1082, 2097, 609, 513, 7131, 865, 596, 666, 6432, 607, 596, 1224, 2059, 609, 519, 1650, 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 ]
[ 276, 454, 3725, 281, 1323, 9441, 568, 6976, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 1556, 4455, 476, 1001, 272, 267, 476, 5400, 281, 6872, 692, 10303, 649, 1810, 1405, 917, 3169, 14349, 13478, 1495, 599, 3108, 780, 16829, 689, 1250, 5985, 3926, 454, 3725, 281, 1323, 9441, 568, 6976, 5231, 1496, 258, 21529, 316, 476, 1556, 4455, 476, 1001, 272, 267, 476, 5400, 281, 6872, 454, 13436, 3584, 1234, 18680, 7831, 2022, 454, 13436, 454, 12749, 923, 912, 303, 10154, 1281, 17874, 960, 851, 6066, 543, 568, 6976, 593, 606, 5662, 569, 4493, 269, 476, 276, 476, 6187, 4239, 476, 1001, 276, 267, 476, 5400, 281, 1724, 454, 1556, 1323, 9441, 568, 6976, 476, 272, 269, 276, 2053, 519, 2834, 5662, 569, 2557, 585, 476, 278, 476, 1240, 9484, 476, 1001, 277, 267, 476, 5400, 281, 2420, 454, 2304, 9441, 568, 6976, 476, 272, 269, 276, 2053, 519, 2834, 5662, 569, 2557, 585, 476, 274, 476, 2764, 7325, 476, 1001, 271, 267, 476, 1691, 281, 3066, 454, 1556, 11427, 269, 918, 568, 6976, 693, 513, 4389, 2557, 585, 11731, 6192, 476, 1626, 476, 5400, 9484, 476, 1001, 277, 267, 476, 6187, 281, 4905, 454, 277, 1323, 9441, 568, 6976, 476, 272, 269, 276, 2053, 519, 2834, 5662, 569, 2557, 585, 552, 320, 476, 280, 476, 2420, 3967, 476, 1001, 275, 267, 476, 6187, 281, 1321, 454, 11514, 2452, 9708, 689, 3105, 281, 23037, 676, 0, 31686, 1744, 12609, 4147, 476, 1321, 11644, 476, 1321, 11483, 289, 304, 14216, 29719, 607, 513, 2557, 2268, 10298, 13174, 910, 8281, 7300, 5131, 6732, 692, 258, 28251, 1744, 12609, 4147, 476, 1321, 11644, 476, 1321, 11483, 289, 304, 14216, 29719, 607, 513, 2557, 2268, 10298, 13174, 910, 8281, 7300, 5131, 6732, 692, 10955, 1243, 1635, 11146, 330, 2313, 737, 20783, 521, 664, 328, 1923, 21213, 593, 3967, 476, 736, 267, 476, 1708, 273, 476, 5881, 281, 2641, 6751, 594, 4306, 692, 31686, 1744, 12609, 1362, 476, 1321, 628, 3635, 11483, 289, 304, 568, 513, 4988, 19436, 3070, 1031, 676, 1896, 1053, 538, 3127, 269, 634, 1362, 476, 1321, 13004, 21038, 568, 5318, 543, 3340, 513, 2603, 540, 2259, 547, 4487, 269, 1717, 267, 1053, 949, 10355, 1265, 519, 942, 547, 2312, 741, 22027, 1282, 1153, 3108, 269, 1280, 713, 3483, 267, 519, 28251, 1744, 12609, 1362, 476, 1321, 3184, 476, 1321, 3635, 11483, 289, 304, 666, 581, 3730, 547, 1053, 269, 634, 476, 1321, 628, 3184, 540, 519, 19436, 13004, 1433, 814, 519, 1888, 14216, 29719, 607, 513, 15580, 12763, 269, 898, 568, 513, 7168, 13801, 3184, 855, 7294, 20866, 269, 898, 6227, 2035, 899, 3541, 1516, 2557, 2268, 337, 267, 5376, 916, 3823, 519, 2557, 2268, 337, 543, 1082, 18304, 1644, 547, 621, 269, 634, 11483, 289, 304, 3635, 786, 723, 476, 1428, 2055, 689, 513, 7848, 540, 782, 891, 2035, 780, 9827, 3367, 910, 28251, 1744, 12609, 8827, 585, 4147, 476, 280, 547, 476, 1321, 13174, 692, 1892, 3848, 476, 1321, 910, 14216, 29719, 607, 513, 15580, 12763, 910, 2750, 476, 1321, 269, 273, 692, 1012, 14216, 29719, 607, 513, 15580, 12763, 337, 1401, 1356, 322, 1047, 281, 476, 1321, 5425, 304, 289, 692, 32056, 29719, 607, 513, 15580, 12763, 337, 3635, 2013, 1353, 3490, 2243, 267, 2243, 476, 272, 9217, 2020, 7445, 2765, 18097, 1535, 2410, 323, 512, 13157, 268, 276, 1422, 9507, 346, 349, 9492, 348, 1315, 1422, 9507, 346, 2381, 348, 1422, 2765, 18097, 586, 2410, 323, 512, 13157, 275, 1422, 9507, 346, 349, 9492, 348, 1315, 1422, 9507, 346, 2381, 10592, 295, 842, 1384, 2080, 267, 649, 946, 519, 1523, 540, 4320, 780, 11693, 1384, 21920, 11081, 693, 519, 2557, 540, 476, 276, 9492, 543, 609, 2333, 693, 519, 2557, 540, 476, 275, 9492, 270, 5913, 692, 11405, 1384, 3383, 267, 1577, 1535, 581, 3259, 540, 14328, 6656, 543, 586, 581, 8700, 540, 14328, 6656, 692, 7445, 2765, 18097, 1535, 2410, 323, 512, 13157, 268, 276, 259, 5221, 3259, 6175, 865, 1871, 1590, 581, 2942, 692, 663, 4399, 2765, 18097, 1535, 2410, 323, 512, 13157, 275, 259, 1317, 8700, 2333, 269, 1924, 1871, 1590, 581, 2318, 692, 32056, 29719, 607, 513, 15580, 12763, 3635, 2013, 1353, 1759, 2243, 267, 2243, 476, 272, 23870, 2020, 268, 27572, 273, 9492, 270, 315, 5913, 2330, 268, 273, 9492, 270, 315, 5913, 6911, 295, 842, 1384, 2080, 267, 649, 946, 519, 4542, 540, 15943, 630, 303, 264, 540, 513, 13551, 692, 11693, 281, 1269, 343, 284, 279, 9492, 259, 543, 1269, 344, 284, 277, 9492, 6911, 11405, 1384, 17961, 25410, 348, 1299, 335, 284, 273, 3287, 20742, 264, 8607, 1299, 315, 2765, 18097, 533, 2410, 323, 512, 13157, 273, 13375, 7268, 2765, 18097, 1535, 2410, 323, 512, 23180, 2765, 18097, 586, 2410, 323, 512, 4153, 2431, 6661, 8607, 17851, 273, 8987, 276, 266, 275, 264, 1422, 15153, 267, 513, 521, 13375, 7268, 2765, 18097, 1535, 2410, 323, 512, 13157, 268, 276, 9368, 264, 1422, 3667, 2715, 543, 476, 4153, 3847, 7268, 2765, 18097, 586, 2410, 323, 512, 13157, 275, 9368, 264, 8607, 17851, 273, 8987, 272, 264, 8607, 1299, 15871, 273, 1422, 9507, 346, 349, 9492, 348, 1315, 1422, 9507, 346, 5913, 348, 1422, 754, 25410, 10926, 17798, 267, 519, 15943, 568, 11081, 693, 519, 2557, 540, 1269, 273, 9492, 270, 315, 5913, 6911, 32056, 29719, 607, 513, 15580, 12763, 3635, 2013, 1353, 1759, 2243, 267, 2243, 476, 272, 31702, 2020, 259, 273, 9492, 3867, 273, 348, 270, 315, 5913, 6911, 295, 842, 1384, 2080, 267, 649, 946, 519, 4542, 540, 1858, 692, 11693, 1384, 343, 284, 279, 9492, 692, 312, 284, 277, 9492, 692, 11405, 1384, 259, 288, 24210, 24585, 586, 6911, 7445, 2765, 18097, 288, 2410, 19049, 18098, 2765, 26635, 11459, 2410, 19049, 15396, 343, 21702, 346, 11276, 2410, 19049, 10592, 259, 15871, 276, 24585, 476, 277, 266, 279, 24585, 476, 275, 6911, 259, 284, 3953, 268, 1789, 6911, 259, 284, 273, 9492, 3867, 273, 348, 270, 315, 5913, 6911, 32056, 29719, 607, 513, 15580, 12763, 3635, 2013, 1353, 1759, 2243, 267, 2243, 476, 272, 263, 643, 2020, 268, 272, 269, 277, 4699, 270, 5913, 454, 295, 842, 912, 2080, 267, 649, 946, 519, 2596, 1523, 540, 15497, 6676, 454, 11693, 912, 2080, 1535, 284, 279, 9492, 543, 586, 284, 277, 9492, 454, 11405, 912, 343, 284, 279, 9492, 543, 586, 284, 277, 9492, 454, 6097, 547, 19456, 23768, 454, 7445, 514, 1467, 623, 3867, 273, 13157, 343, 3867, 273, 15396, 344, 3867, 273, 4151, 2560, 2507, 15301, 272, 994, 284, 5038, 266, 3607, 454, 284, 1911, 454, 303, 284, 1015, 454, 17843, 5573, 630, 272, 264, 530, 25331, 6745, 512, 649, 1205, 454, 22174, 1467, 1422, 8218, 25410, 348, 1299, 273, 1422, 9392, 476, 1015, 1422, 2765, 18097, 533, 2410, 323, 512, 13157, 273, 1422, 9392, 476, 279, 1422, 9392, 8987, 276, 11924, 273, 1422, 9392, 476, 277, 1422, 9392, 476, 275, 1422, 15153, 267, 1422, 3667, 2715, 2094, 7684, 1422, 2765, 18097, 1535, 2410, 323, 512, 13157, 268, 276, 1422, 3667, 2715, 543, 7684, 1422, 2765, 18097, 586, 2410, 323, 512, 13157, 275, 8607, 1299, 315, 2765, 18097, 533, 2410, 323, 512, 13157, 268, 272, 269, 277, 1422, 9507, 346, 349, 9492, 348, 1315, 1422, 9507, 346, 5913, 348, 1422, 754, 25410, 10926, 32056, 29719, 607, 513, 15580, 12763, 3635, 2013, 1353, 1759, 2243, 267, 2243, 476, 272, 17635, 2020, 259, 10559, 2765, 346, 4029, 2410, 1240, 21456, 295, 842, 912, 2080, 267, 649, 946, 2596, 2035, 540, 1858, 454, 11693, 912, 343, 284, 279, 586, 284, 277, 454, 11405, 912, 343, 284, 279, 586, 284, 277, 454, 3383, 267, 2687, 547, 19456, 23768, 454, 303, 284, 1015, 454, 3383, 267, 1689, 540, 5223, 540, 3259, 543, 4560, 4399, 514, 1467, 31386, 2765, 18097, 2410, 323, 512, 4153, 3847, 7268, 2765, 12757, 2410, 344, 4153, 2431, 21174, 2765, 3189, 2765, 26635, 546, 1535, 2410, 323, 512, 18511, 343, 1422, 2765, 18097, 586, 2410, 323, 512, 12453, 344, 3867, 273, 3686, 14204, 7445, 514, 1467, 815, 268, 4029, 1315, 476, 3607, 1422, 15153, 267, 1422, 3667, 2715, 2094, 7684, 1422, 2765, 18097, 1535, 2410, 323, 512, 13157, 268, 276, 1422, 3667, 2715, 543, 7684, 1422, 2765, 18097, 586, 2410, 323, 512, 13157, 275, 6911, 32056, 29719, 607, 513, 15580, 12763, 3635, 2013, 1353, 1759, 2243, 267, 2243, 476, 273, 9217, 2020, 259, 2190, 9492, 3867, 273, 348, 270, 315, 5913, 14204, 295, 842, 912, 2080, 649, 946, 1523, 540, 13306, 454, 11693, 912, 21920, 284, 476, 1015, 4699, 454, 13707, 2627, 1858, 540, 13306, 7445, 3847, 630, 589, 1422, 2431, 3738, 284, 277, 320, 3867, 273, 21456, 17843, 5573, 621, 454, 7445, 8218, 15204, 2410, 337, 348, 1422, 2765, 18097, 589, 2410, 323, 512, 13157, 1321, 513, 1422, 2765, 18097, 513, 2410, 323, 512, 348, 8607, 1422, 754, 15204, 21456, 7445, 8218, 15204, 2410, 337, 348, 815, 1321, 1422, 9392, 476, 1015, 1422, 9392, 476, 271, 269, 273, 1422, 15153, 1422, 3667, 2715, 2094, 7684, 1422, 2765, 18097, 513, 2410, 323, 512, 13157, 271, 269, 273, 8607, 1422, 754, 15204, 21456, 7445, 8218, 15204, 2410, 337, 348, 815, 2190, 1422, 9507, 346, 349, 9492, 8703, 273, 348, 1315, 1422, 9507, 346, 5913, 348, 1422, 754, 15204, 10592, 32056, 29719, 607, 513, 15580, 12763, 337, 3635, 2013, 1353, 3490, 2243, 267, 2243, 476, 273, 23870, 2020, 259, 2568, 9492, 3867, 274, 348, 270, 315, 5913, 14204, 295, 842, 912, 2080, 267, 649, 946, 519, 2596, 1523, 454, 11693, 912, 763, 8354, 9214, 1162, 693, 2557, 540, 4399, 2765, 346, 6767, 2410, 19049, 13157, 271, 269, 273, 9492, 270, 315, 5913, 14204, 21920, 540, 6316, 540, 13306, 815, 1015, 9492, 454, 11405, 912, 933, 723, 4399, 2765, 346, 6767, 2410, 19049, 13157, 271, 269, 273, 9492, 270, 315, 5913, 14204, 24127, 540, 13306, 815, 259, 320, 3867, 274, 21456, 17843, 5573, 621, 649, 1205, 454, 7445, 2765, 18097, 642, 2410, 323, 512, 13157, 274, 513, 3867, 273, 348, 1422, 2765, 18097, 513, 2410, 323, 512, 13157, 274, 1422, 9392, 476, 1015, 1422, 9392, 476, 1015, 1422, 9392, 476, 271, 269, 273, 284, 2568, 1422, 9507, 346, 349, 9492, 8703, 274, 348, 1315, 1422, 9507, 346, 5913, 10592, 32056, 29719, 607, 513, 15580, 12763, 337, 3635, 2013, 1353, 3490, 2243, 267, 2243, 476, 273, 31702, 2020, 7445, 2765, 3189, 6912, 346, 274, 12453, 276, 348, 9492, 270, 315, 5913, 14204, 295, 842, 912, 2080, 267, 649, 946, 519, 4542, 540, 15497, 454, 11693, 912, 7445, 2765, 346, 6767, 2410, 19049, 13157, 271, 269, 273, 14204, 11405, 912, 310, 2131, 852, 15497, 540, 13306, 4399, 3847, 630, 533, 1422, 2431, 3738, 7807, 6912, 346, 274, 348, 320, 14204, 17843, 5573, 621, 649, 1205, 454, 22174, 1467, 1422, 8218, 25410, 348, 1299, 315, 2765, 18097, 533, 2410, 323, 512, 18098, 6912, 346, 274, 348, 1422, 2765, 18097, 513, 2410, 323, 512, 18098, 6912, 346, 274, 348, 1422, 9392, 476, 271, 269, 273, 7807, 2765, 346, 273, 1422, 6912, 346, 274, 12453, 1015, 348, 8607, 1299, 7807, 2765, 3189, 6912, 346, 274, 12453, 276, 348, 1422, 9507, 346, 349, 9492, 348, 1315, 1422, 9507, 346, 5913, 348, 1422, 754, 25410, 10926, 32056, 29719, 607, 513, 15580, 12763, 337, 3635, 2013, 1353, 3490, 2243, 267, 2243, 476, 273, 263, 643, 2020, 273, 269, 276, 9492, 454, 295, 842, 912, 2080, 649, 946, 519, 1871, 540, 13306, 779, 2627, 1858, 543, 4320, 454, 11693, 912, 2171, 5700, 602, 454, 24127, 815, 1269, 284, 2568, 9492, 3867, 274, 348, 270, 338, 14204, 4517, 2627, 1858, 815, 1269, 284, 2190, 9492, 3867, 273, 348, 270, 315, 5913, 14204, 272, 269, 1924, 267, 2557, 540, 2333, 540, 4320, 609, 2463, 547, 2627, 1858, 4399, 2765, 346, 2568, 2410, 2190, 13157, 273, 269, 276, 9492, 6911, 32056, 29719, 607, 513, 15580, 12763, 337, 3635, 2013, 1353, 3490, 2243, 267, 2243, 476, 273, 17635, 2020, 275, 4699, 454, 295, 842, 912, 259, 309, 30381, 3867, 274, 21456, 11693, 912, 11405, 912, 24127, 540, 519, 13306, 2676, 17961, 25410, 348, 1299, 309, 30381, 3867, 274, 348, 8607, 1299, 315, 2765, 18097, 642, 2410, 323, 512, 13157, 274, 513, 3867, 273, 348, 1422, 10383, 1422, 2765, 18097, 513, 2410, 323, 512, 348, 8607, 1299, 315, 3667, 2715, 693, 7684, 1422, 2765, 18097, 513, 2410, 323, 512, 13157, 271, 269, 273, 1422, 9507, 346, 349, 9492, 348, 1315, 1422, 9507, 346, 5913, 348, 8607, 1299, 315, 2765, 18097, 642, 2410, 323 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 576, 593, 2250, 2621, 602, 8032, 945, 596, 616, 2221, 267, 2263, 1225, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 30488, 281, 901, 4051, 762, 2982, 596, 875, 547, 946, 519, 929, 326, 332, 7735, 593, 519, 7147, 29698, 476, 10019, 9578, 543, 7147, 29698, 476, 10019, 9578, 18234, 9990, 269, 0, 307, 1410, 553, 11154, 539, 18726, 11150, 585, 2142, 1030, 595, 4490, 8633, 281, 12025, 543, 22447, 454, 268, 11261, 540, 22910, 454, 268, 5239, 476, 1428, 267, 476, 1708, 272, 454, 268, 6423, 3397, 22567, 1057, 6258, 454, 28694, 2450, 543, 5144, 532, 1761, 616, 3119, 4719, 7592, 538, 14132, 2504, 269, 20946, 540, 2450, 543, 5144, 3310, 2504, 3252, 267, 971, 607, 9422, 4170, 267, 12093, 267, 543, 2557, 543, 4398, 540, 2597, 2744, 269, 634, 946, 540, 519, 2165, 834, 21653, 257, 4805, 666, 581, 15458, 269, 13379, 568, 519, 1655, 2268, 540, 1560, 2450, 269, 1717, 267, 2597, 568, 711, 3586, 267, 607, 606, 3662, 781, 1560, 5888, 666, 4268, 269, 630, 275, 9664, 994, 5415, 5079, 538, 700, 12083, 1299, 623, 15160, 454, 763, 1184, 540, 27621, 908, 547, 3313, 6379, 538, 12418, 543, 519, 3937, 1031, 1282, 27621, 566, 616, 4330, 543, 11609, 538, 713, 16886, 514, 269, 634, 4775, 10285, 1062, 568, 5941, 267, 2059, 609, 519, 11095, 5933, 540, 519, 21872, 11721, 28127, 563, 8698, 12383, 540, 2298, 9344, 540, 26718, 2848, 619, 630, 4785, 6395, 1916, 1607, 1576, 6663, 547, 948, 14132, 12418, 12696, 2149, 7147, 25825, 689, 12526, 602, 568, 5532, 609, 519, 2504, 540, 13184, 269, 1452, 8764, 725, 949, 849, 10460, 513, 1072, 1981, 547, 7147, 4961, 563, 1607, 1576, 568, 585, 14987, 602, 1616, 547, 1451, 811, 827, 9870, 13265, 543, 23161, 269, 7147, 589, 261, 300, 3397, 686, 16908, 22362, 12665, 946, 7044, 547, 3391, 596, 998, 519, 1101, 3268, 547, 1205, 707, 2504, 2469, 563, 294, 664, 12600, 2407, 1569, 547, 519, 19827, 689, 782, 1614, 2395, 540, 519, 476, 1708, 272, 2110, 1576, 256, 634, 7147, 589, 261, 300, 4982, 710, 3115, 8793, 5004, 10374, 6092, 568, 2966, 585, 5411, 543, 9960, 9946, 945, 1616, 547, 1451, 519, 1034, 3608, 2409, 585, 4180, 519, 1967, 540, 741, 9960, 3292, 563, 290, 25377, 710, 568, 513, 6219, 602, 568, 1419, 10057, 676, 3425, 547, 2333, 10332, 1145, 543, 2569, 9854, 269, 898, 568, 849, 1031, 607, 513, 9354, 2126, 585, 16349, 12256, 547, 2087, 2295, 267, 5761, 267, 543, 2634, 1599, 269, 0, 16829, 281, 5988, 476, 1556, 628, 267, 476, 1708, 274, 454, 3086, 621, 779, 942, 585, 707, 4760, 1603, 547, 1491, 1055, 256, 2791, 949, 1616, 547, 1832, 1079, 5094, 13746, 269, 2290, 538, 513, 21641, 585, 3054, 267, 543, 519, 824, 593, 707, 2780, 865, 602, 596, 666, 10505, 621, 538, 513, 6478, 3561, 547, 519, 6749, 4216, 1142, 3018, 20136, 3018, 267, 707, 7084, 568, 547, 2328, 1079, 13366, 538, 707, 4760, 267, 476, 272, 268, 273, 29921, 3817, 1142, 269, 3503, 891, 538, 1022, 1931, 596, 3442, 269, 7883, 547, 513, 1857, 1747, 267, 971, 607, 513, 6288, 610, 513, 17365, 1650, 267, 543, 7747, 543, 6432, 547, 1004, 269, 3503, 538, 707, 4760, 1018, 596, 1294, 543, 5873, 269, 2142, 2386, 547, 1331, 607, 1454, 4890, 5188, 607, 596, 666, 3314, 269, 27855, 513, 4655, 596, 4810, 28069, 538, 707, 1272, 1063, 596, 543, 513, 3659, 610, 1920, 4759, 269, 898, 1223, 581, 693, 960, 267, 693, 1753, 267, 610, 950, 596, 941, 513, 1126, 269, 630, 6524, 596, 2328, 713, 267, 2638, 856, 519, 1806, 540, 4655, 1063, 2828, 538, 707, 8655, 2542, 585, 2221, 4700, 670, 842, 281, 1975, 754, 513, 2370, 3063, 942, 593, 713, 4655, 1995, 269, 1411, 786, 3277, 547, 621, 1586, 538, 707, 11470, 5741, 269, 2691, 1603, 547, 707, 4760, 267, 2141, 1491, 519, 942, 547, 1331, 3877, 267, 4778, 267, 4606, 267, 543, 2962, 269, 5903, 539, 2630, 616, 1079, 1806, 282, 519, 1101, 568, 4617, 267, 519, 2034, 568, 6793, 269, 2171, 752, 4750, 28678, 892, 2171, 4682, 547, 519, 32041, 543, 4718, 513, 17559, 812, 1848, 6546, 568, 1932, 2489, 269, 898, 568, 513, 19701, 7127, 269, 1411, 1616, 513, 4760, 7127, 609, 811, 1469, 267, 609, 6609, 267, 5188, 267, 7553, 267, 1469, 267, 2962, 267, 543, 4655, 269, 1805, 3994, 518, 4750, 28678, 892, 297, 523, 543, 594, 4682, 547, 11354, 10830, 26864, 14349, 3781, 543, 1185, 519, 29057, 540, 938, 2729, 269, 1284, 3893, 972, 1175, 607, 519, 4764, 3357, 11013, 532, 1524, 593, 938, 4427, 541, 340, 13749, 654, 6782, 269, 1284, 6288, 539, 267, 855, 950, 649, 3893, 856, 267, 938, 2370, 3039, 5068, 22597, 6926, 342, 2476, 883, 519, 7088, 899, 513, 30866, 269, 3807, 1287, 513, 7381, 812, 538, 513, 2699, 25099, 10443, 936, 543, 6035, 721, 1010, 2462, 3109, 22597, 269, 1284, 9684, 539, 1864, 543, 838, 11781, 539, 609, 1864, 547, 6755, 2284, 779, 269, 1284, 9684, 539, 519, 812, 1586, 267, 855, 1287, 646, 3323, 1739, 721, 256, 1284, 1223, 1294, 1010, 14088, 779, 11945, 23510, 909, 543, 1524, 899, 646, 1185, 513, 20538, 575, 8538, 559, 538, 1010, 11563, 1848, 4517, 865, 593, 269, 13914, 596, 666, 798, 621, 286, 17610, 596, 666, 563, 20278, 606, 1931, 538, 476, 274, 2653, 3268, 269, 570, 1389, 1447, 982, 476, 276, 25008, 269, 0, 31306, 1648, 3785, 786, 581, 9244, 6462, 676, 1648, 8492, 454, 14276, 5989, 8492, 616, 711, 16613, 538, 519, 2136, 2276, 269, 769, 1249, 267, 5176, 1614, 28273, 7999, 2829, 723, 873, 267, 855, 1034, 2508, 6283, 3785, 269, 5398, 1648, 8492, 616, 5266, 1007, 563, 763, 1523, 540, 1648, 8492, 3357, 883, 1373, 1310, 519, 14042, 2360, 540, 19996, 9995, 344, 593, 519, 1216, 543, 16894, 2126, 2371, 269, 634, 1101, 2479, 6052, 26504, 7813, 18083, 3785, 602, 2149, 519, 5989, 689, 1379, 856, 1137, 563, 288, 4871, 4092, 538, 519, 29036, 814, 6537, 519, 3007, 540, 1533, 8387, 18487, 269, 634, 1614, 4458, 6040, 4871, 267, 2705, 267, 568, 711, 707, 6093, 12029, 267, 10992, 2272, 543, 6666, 2533, 4871, 563, 1103, 519, 21987, 540, 476, 1001, 273, 779, 8111, 10445, 9995, 344, 267, 519, 2034, 21057, 31586, 19996, 538, 772, 2529, 269, 1686, 267, 1715, 14948, 11124, 689, 27676, 14796, 547, 10821, 267, 5010, 543, 1857, 3959, 269, 3807, 607, 14042, 941, 519, 9271, 547, 2565, 5989, 1317, 540, 1379, 856, 1137, 269, 1879, 519, 1379, 856, 1137, 538, 1216, 543, 16894, 2126, 2371, 7018, 267, 621, 8507, 538, 519, 546, 18804, 540, 6634, 540, 17529, 540, 6151, 21137, 883, 1533, 25825, 563, 13750, 8387, 3533, 7691, 519, 2956, 540, 1818, 2386, 4105, 5989, 568, 6870, 538, 519, 2680, 540, 2104, 1379, 14286, 269, 4256, 3646, 3366, 547, 519, 5137, 540, 519, 4182, 779, 1101, 6052, 26504, 7813, 563, 763, 1715, 14948, 4871, 18083, 1379, 3785, 602, 2149, 5989, 689, 1379, 856, 1137, 269, 898, 568, 1373, 5402, 16913, 543, 11117, 543, 1223, 1831, 513, 2203, 585, 824, 2829, 269, 634, 4871, 6212, 593, 5989, 18175, 10232, 543, 519, 1646, 540, 7856, 1648, 2200, 602, 1450, 2565, 6703, 971, 607, 1216, 2371, 267, 10506, 543, 3506, 547, 7500, 10446, 1282, 1379, 856, 1137, 267, 2067, 12469, 610, 824, 18002, 563, 23192, 14102, 609, 1269, 1220, 2929, 538, 1857, 7482, 689, 519, 1533, 779, 7991, 4886, 13332, 16827, 28155, 18401, 14305, 267, 519, 1715, 14948, 6052, 26504, 7813, 5063, 9307, 519, 1101, 1072, 1416, 9744, 1788, 547, 4309, 3803, 13170, 585, 7616, 269, 634, 2724, 786, 979, 547, 513, 6413, 538, 1715, 19839, 1873, 1157, 543, 581, 1031, 547, 8804, 10380, 540, 513, 1007, 5916, 3002, 543, 1379, 630, 6224, 303, 264, 1062, 563, 763, 4871, 5063, 9307, 16861, 13170, 540, 3606, 3156, 585, 8863, 303, 1949, 585, 1614, 824, 1715, 14948, 6413, 3785, 269, 8863, 303, 1949, 602, 941, 538, 1747, 1282, 519, 476, 1001, 273, 7088, 6854, 6703, 10512, 1247, 519, 3167, 7470, 729, 1524, 563, 14276, 5989, 8492, 616, 711, 16613, 538, 519, 2136, 2276, 269, 769, 1249, 267, 5176, 1614, 28273, 7999, 2829, 723, 873, 267, 855, 1034, 2508, 6283, 3785, 269, 5398, 1648, 8492, 616, 5266, 1007, 269, 2368, 2829, 267, 899, 7147, 609, 922, 3557, 6052, 11094, 8433, 267, 1683, 7616, 543, 15314, 585, 1648, 5726, 267, 855, 1034, 798, 711, 723, 1857, 1648, 8492, 563, 7197, 1648, 8492, 616, 2813, 998, 1857, 17376, 10675, 12352, 630, 303, 274, 338, 270, 13048, 11679, 264, 543, 789, 616, 32486, 547, 3895, 1648, 4398, 267, 2504, 270, 2224, 540, 7791, 1648, 543, 30840, 269, 2060, 4357, 5498, 2758, 5698, 267, 519, 3804, 568, 585, 1533, 1648, 8492, 547, 1831, 1582, 1606, 7739, 532, 1247, 5885, 2104, 1648, 3785, 563, 21010, 19107, 729, 519, 1101, 1533, 547, 1711, 513, 968, 13582, 892, 5989, 4871, 269, 634, 1533, 4941, 547, 2333, 519, 5137, 543, 946, 540, 2973, 267, 7791, 1648, 269, 4521, 16234, 849, 2813, 513, 24997, 6052, 8750, 547, 1683, 811, 982, 1269, 5611, 2929, 585, 1644, 3785, 267, 2069, 3292, 543, 2029, 269, 634, 21086, 5682, 7813, 568, 14102, 676, 1312, 1857, 543, 4357, 3854, 543, 814, 1044, 2111, 547, 15407, 1142, 1857, 13362, 609, 1269, 1015, 7132, 538, 4357, 5092, 563, 5194, 4871, 1107, 519, 1715, 3840, 5682, 7813, 268, 568, 849, 14102, 609, 1312, 4357, 543, 1857, 3854, 269, 898, 2152, 7554, 267, 5491, 3986, 906, 543, 12029, 269, 634, 4871, 7512, 5092, 538, 3785, 998, 1930, 1151, 7228, 725, 585, 1648, 5829, 3785, 563, 763, 1158, 540, 2229, 568, 10641, 532, 543, 9687, 865, 3533, 621, 779, 2352, 547, 1832, 10605, 609, 782, 519, 2242, 269, 898, 4667, 2922, 267, 2705, 267, 547, 3589, 602, 1857, 8492, 540, 1585, 2010, 1107, 3283, 602, 12840, 609, 4357, 5823, 4891, 1107, 1831, 5393, 1455, 936, 519, 1985, 8717, 563, 291, 3041, 290, 6369, 8379, 2207, 281, 901, 2376, 20475, 1250, 1378, 2093, 543, 8369, 269, 7102, 1344, 594, 723, 3838, 616, 689, 2959, 602, 594, 3494, 547, 581, 6325, 543, 4977, 269, 594, 1705, 711, 4309, 1022, 2883, 13180, 538, 1603, 713, 2022, 267, 6862, 798, 594, 1378, 1022, 8843, 538, 1022, 2754, 594, 4076, 5018, 269, 594, 5000, 1022, 5467, 547, 798, 741, 1378, 30190, 1382, 1101, 1354, 1818, 1022, 5092, 3664, 563, 308, 7034, 645, 841, 719, 540, 15894, 2672, 23579, 27817, 29714, 538, 8935, 23336, 543, 5053, 30914, 30359, 22206, 619, 2382, 1464, 454, 295, 2293, 1310, 519, 6718, 540, 15894, 2672, 23579, 676, 772, 7034, 729, 20177, 267, 519, 2754, 781, 16628, 814, 1572, 585, 9350, 538, 519, 2483, 26364, 6686, 333, 1817, 333, 2142, 3699, 1975, 976, 528, 540, 519, 2274, 760, 345, 580, 18301, 454, 26364, 6686, 333, 1817, 333, 814, 1044, 9513, 14055, 11041, 585, 3425, 610, 10130, 267, 607, 1134, 607, 2960, 1416, 2472, 543, 2564, 17960, 267, 538, 2483, 20458, 16010, 281, 634, 15726, 302, 654, 788, 5174, 24642, 2088, 3004, 1231, 827, 476, 1789, 6468, 454, 763, 4717, 13541, 540, 519, 15726, 302, 654, 788, 5174, 24642, 2088, 267, 21322, 6261, 18824, 2098, 537, 978, 337, 3570, 267, 27416, 602, 519, 6662, 540, 713, 13186, 568, 547, 3565, 547, 513, 2483, 14157, 12546, 538, 519, 14351, 29714, 1772, 8550, 513, 6153, 6178, 454, 5472, 519, 24187, 4478, 519, 12900, 540, 25789, 289, 543, 6178, 1155, 7132, 32548, 268, 8083, 540, 15894, 2672, 23579, 543, 3689, 6243, 8507, 538, 2483, 763, 5440, 305, 1678, 539, 269, 1470, 28315, 6226, 652, 281, 1548, 779, 12182, 538, 10500, 559, 5573, 16373, 1496, 25582, 476, 1556, 2639, 303, 10107, 909, 1141, 11686, 2451, 1055, 267, 24068, 814, 1175, 2322, 519, 28607, 27717, 7333, 1394, 593, 519, 3349, 269, 3767, 519, 2243, 2483, 19968, 273, 4374, 3516, 454, 763, 5440, 305, 1678, 539, 269, 1470, 28315, 6226, 652, 281, 1548, 779, 12182, 538, 10500, 559, 5573, 16373, 1496, 25582, 476, 1015, 2639, 19968, 273, 4374, 3516, 454, 19185, 547, 4414, 30472, 2659, 8298, 334, 286, 3371, 779, 1548, 1411, 10261, 547, 5700, 454, 18693, 1774, 577, 277, 2395, 3516, 454, 23220, 9220, 639, 5080, 10139, 525, 519, 29358, 27010, 540, 476, 272, 269, 277, 28985, 538, 476, 2190, 327, 454, 290, 992, 4206, 27448, 273, 4374, 3516, 454, 289, 600, 6199, 1133, 591, 17569, 339, 19921, 523, 5487, 31708, 18844, 4206, 27448, 22411, 454, 2791, 1590, 581, 29429, 538, 547, 2022, 513, 6085, 8298, 514, 0, 4415, 513, 15911, 543, 5671, 518, 31032, 8584, 2071, 4832, 1934, 538, 14522, 267, 649, 723, 547, 581, 3222, 711, 1152, 540, 875 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5650, 267, 1813, 547, 519, 6553, 540, 519, 5694, 5160, 269, 1717, 267, 936, 7308, 4831, 1928, 17212, 951, 786, 8897, 713, 9636, 543, 1450, 596, 547, 1847, 1472, 543, 1491, 1426, 563, 5475, 513, 3597, 12324, 5650, 267, 596, 949, 1745, 15381, 585, 930, 942, 269, 898, 568, 5227, 547, 2057, 4189, 593, 513, 2182, 2627, 585, 930, 942, 269, 4746, 267, 596, 1058, 2057, 6704, 3905, 16098, 1317, 713, 666, 1118, 707, 5694, 811, 11630, 547, 7063, 269, 1809, 267, 2899, 519, 31018, 568, 8854, 621, 568, 2009, 547, 3548, 2571, 1426, 1586, 269, 1411, 666, 1287, 7444, 6338, 4396, 1426, 3688, 607, 707, 4313, 1377, 10607, 563, 305, 2393, 23668, 666, 4688, 707, 5694, 269, 634, 5650, 949, 4125, 1896, 11564, 547, 513, 11290, 269, 1809, 267, 621, 779, 606, 8723, 5959, 5650, 269, 634, 1655, 1259, 547, 9156, 689, 513, 3597, 12324, 568, 547, 2628, 3007, 547, 707, 1560, 6786, 269, 13689, 593, 519, 10335, 540, 707, 1966, 596, 1522, 1995, 11926, 543, 1928, 563, 1103, 1034, 2665, 267, 519, 6051, 942, 1739, 513, 3597, 12324, 666, 581, 607, 2656, 607, 1175, 513, 1906, 2395, 269, 1717, 267, 930, 7985, 8374, 1739, 519, 5650, 267, 543, 949, 2154, 513, 1906, 2395, 547, 4628, 9156, 269, 634, 4110, 540, 519, 3968, 267, 519, 6988, 540, 519, 2126, 267, 543, 707, 2949, 1072, 666, 1860, 519, 942, 621, 3217, 547, 2347, 519, 3597, 12324, 269, 898, 568, 5227, 547, 1865, 713, 609, 707, 11290, 543, 1246, 1010, 610, 1200, 5528, 547, 2057, 8374, 563, 3725, 11734, 942, 1310, 519, 3597, 12324, 568, 10156, 982, 10868, 540, 4522, 269, 1403, 596, 1745, 1928, 1310, 519, 5650, 267, 621, 568, 1271, 547, 1294, 513, 11290, 5612, 269, 2659, 11290, 1058, 581, 19579, 547, 1521, 519, 3968, 5612, 267, 855, 596, 949, 991, 547, 5957, 513, 5023, 31384, 585, 519, 1985, 1906, 2395, 563, 2467, 616, 3875, 2081, 547, 1205, 1928, 8323, 538, 519, 2680, 540, 606, 1930, 3597, 12324, 269, 589, 4411, 14771, 666, 581, 4294, 547, 519, 1858, 547, 24390, 11926, 543, 1928, 269, 634, 1655, 1259, 547, 6175, 1928, 568, 547, 1832, 519, 5694, 538, 513, 2990, 602, 568, 11506, 269, 901, 666, 581, 2944, 1896, 2053, 2429, 519, 1554, 269, 1306, 513, 1753, 16185, 596, 666, 4019, 513, 4411, 14771, 593, 519, 1858, 269, 1411, 666, 849, 19068, 707, 5388, 563, 763, 5354, 540, 3597, 12324, 1928, 786, 1016, 2515, 1369, 513, 1906, 2395, 269, 1403, 596, 616, 7680, 10770, 1928, 267, 621, 779, 1655, 547, 5077, 513, 11290, 610, 606, 1439, 16599, 626, 269, 4107, 3597, 12324, 5574, 616, 2241, 30229, 5773, 602, 616, 5340, 676, 606, 1439, 16599, 626, 945, 3096, 2199, 23236, 269, 634, 7067, 1184, 568, 16190, 269, 634, 5650, 568, 1928, 1652, 543, 1152, 476, 274, 547, 476, 277, 2600, 540, 2550, 786, 1745, 9636, 269, 1677, 7413, 9636, 543, 2061, 3968, 267, 621, 568, 1898, 547, 1246, 519, 5796, 540, 707, 11290, 607, 4166, 2009, 563, 12901, 328, 13611, 11955, 666, 849, 4217, 538, 519, 2126, 540, 1928, 1739, 519, 5650, 540, 513, 3597, 12324, 269, 634, 1034, 2442, 1928, 17212, 951, 602, 616, 2139, 936, 519, 4831, 1331, 7763, 12541, 25153, 267, 5917, 559, 267, 543, 570, 2643, 523, 565, 269, 1717, 267, 596, 1590, 1865, 519, 946, 540, 11311, 6527, 610, 9360, 609, 707, 11290, 269, 3958, 267, 596, 1058, 2057, 4189, 3536, 602, 616, 2182, 547, 25261, 1310, 2348, 606, 5106, 547, 4894, 513, 3597, 12324, 267, 2094, 713, 666, 2333, 9636, 543, 1928, 563, 288, 3597, 12324, 568, 606, 8723, 5959, 5650, 602, 2337, 11177, 707, 2067, 4522, 269, 634, 11290, 10039, 23236, 547, 519, 3461, 267, 543, 1287, 4894, 519, 7783, 17870, 607, 1134, 607, 4551, 269, 634, 5694, 568, 1287, 20177, 609, 606, 3617, 1570, 269, 17848, 23668, 666, 581, 11213, 2073, 855, 519, 5354, 540, 2550, 1995, 1100, 3665, 1928, 269, 2368, 2550, 949, 1995, 9636, 26063, 267, 855, 713, 786, 979, 2476, 1369, 513, 1906, 3108, 563, 1103, 1840, 547, 513, 3597, 12324, 2550, 1058, 2226, 1434, 5711, 9882, 547, 24390, 519, 1928, 602, 5205, 269, 4014, 519, 1928, 786, 1016, 2515, 1369, 513, 1906, 2395, 267, 621, 568, 1655, 547, 2057, 8860, 707, 4522, 269, 4039, 1314, 566, 2553, 971, 607, 9066, 543, 10649, 666, 581, 6225, 585, 930, 2550, 563, 5591, 2339, 952, 621, 568, 2556, 547, 723, 606, 13393, 585, 513, 3597, 12324, 454, 305, 2393, 23668, 616, 513, 3551, 5650, 602, 666, 13468, 1928, 543, 2149, 519, 8699, 4522, 269, 898, 568, 2356, 2944, 1310, 8194, 610, 513, 13570, 814, 3361, 3441, 547, 519, 5694, 543, 8507, 538, 606, 3573, 3968, 269, 634, 5650, 568, 2877, 2094, 8229, 3441, 666, 4755, 538, 519, 5694, 563, 763, 6213, 14779, 543, 23209, 1819, 4522, 616, 1079, 4191, 602, 596, 949, 2154, 513, 3597, 12324, 585, 707, 5959, 269, 898, 1223, 581, 1813, 547, 513, 2241, 5694, 12962, 610, 606, 3968, 4514, 269, 16791, 539, 4522, 949, 1020, 606, 26252, 799, 568, 513, 17927, 540, 10669, 3361, 676, 519, 3968, 269, 1403, 596, 5469, 1022, 540, 891, 2589, 267, 596, 1058, 3643, 513, 11290, 1318, 2476, 269, 1403, 519, 26252, 3587, 4049, 267, 621, 666, 2014, 513, 3983, 6492, 538, 707, 5023, 543, 2014, 2042, 609, 7244, 563, 763, 2589, 540, 513, 3597, 12324, 949, 4268, 2687, 547, 519, 1826, 543, 10335, 540, 519, 3968, 269, 13693, 707, 11290, 547, 3313, 952, 596, 991, 513, 3597, 12324, 269, 1403, 596, 4076, 1044, 538, 513, 2487, 8009, 610, 513, 11116, 602, 729, 11213, 538, 519, 2250, 621, 779, 1655, 547, 3643, 707, 11290, 607, 4166, 607, 2009, 269, 4634, 513, 6263, 13863, 666, 1450, 4551, 547, 4283, 707, 5694, 267, 799, 666, 1291, 547, 3978, 5563, 563, 1103, 1840, 547, 519, 13570, 2126, 267, 513, 3597, 12324, 568, 1776, 1505, 540, 9494, 513, 5694, 269, 589, 13570, 2126, 3322, 11423, 519, 5694, 609, 606, 31498, 600, 1570, 543, 3478, 7759, 540, 9178, 269, 589, 3597, 12324, 18788, 519, 3003, 5694, 2497, 269, 17848, 12324, 3797, 568, 2877, 950, 4551, 723, 7783, 610, 6534, 519, 17870, 267, 799, 568, 519, 4099, 540, 513, 5694, 779, 4105, 2497, 269, 1403, 2451, 15860, 267, 519, 4551, 666, 1332, 547, 519, 17870, 543, 2014, 5694, 2530, 269, 769, 1840, 267, 606, 3968, 1369, 519, 17870, 949, 3262, 547, 519, 18072, 543, 2014, 3978, 10108, 563, 288, 3597, 12324, 666, 9594, 606, 16662, 30102, 31199, 610, 8325, 1928, 269, 634, 1928, 949, 581, 10483, 676, 519, 8417, 547, 4411, 543, 3905, 15559, 269, 29392, 32396, 1223, 849, 581, 3361, 676, 513, 3597, 12324, 269, 589, 5694, 949, 1831, 12457, 880, 15918, 871, 610, 4625, 23209, 1819, 1317, 540, 606, 3968, 538, 922, 17870, 269, 0, 29995, 519, 12051, 1500, 4874, 8364, 2692, 14397, 3039, 17346, 616, 9280, 609, 1079, 642, 757, 267, 799, 616, 8704, 538, 519, 7450, 14604, 269, 1717, 267, 538, 2013, 540, 513, 3226, 3905, 4365, 267, 1079, 642, 757, 786, 711, 581, 2614, 547, 2327, 3617, 14910, 540, 519, 8511, 269, 4746, 267, 3668, 540, 14910, 1369, 8511, 666, 581, 3361, 676, 519, 2450, 540, 519, 8511, 269, 5438, 27624, 22254, 917, 602, 782, 2371, 991, 14246, 267, 2705, 267, 952, 519, 2837, 786, 581, 1932, 1164, 267, 519, 2371, 786, 5884, 563, 5575, 2219, 568, 547, 1930, 9885, 585, 5887, 532, 267, 2705, 267, 621, 568, 4636, 1317, 621, 786, 2014, 31585, 256, 1403, 707, 8511, 568, 3670, 7397, 1279, 610, 3476, 267, 1256, 952, 596, 786, 1930, 1312, 9885, 519, 2837, 786, 2611, 1164, 1369, 519, 8511, 563, 2467, 568, 835, 3070, 281, 946, 3606, 642, 757, 593, 519, 5011, 269, 20764, 7976, 568, 1898, 585, 7556, 563, 21206, 642, 757, 1450, 547, 1852, 2837, 543, 11195, 538, 3039, 17346, 269, 1280, 519, 1034, 3608, 946, 540, 642, 757, 596, 786, 991, 547, 1544, 519, 1297, 543, 4087, 540, 642, 757, 563, 18770, 823, 593, 7446, 3606, 642, 757, 585, 707, 8511, 912, 2252, 707, 8511, 568, 11303, 689, 519, 5011, 676, 824, 5656, 267, 799, 3382, 519, 8511, 689, 2842, 267, 596, 786, 991, 1896, 642, 757, 563, 2252, 707, 8511, 568, 606, 1930, 267, 2842, 344, 1858, 267, 649, 4363, 1210, 513, 8766, 2179, 540, 642, 757, 563, 16675, 17346, 609, 851, 1431, 3330, 585, 3395, 5094, 4529, 1058, 581, 9280, 609, 607, 1082, 642, 757, 607, 2009, 563, 2690, 3039, 17346, 5116, 689, 7178, 547, 7532, 513, 1507, 1297, 540, 642, 757, 786, 798, 269, 1411, 1058, 2333, 519, 1297, 540, 642, 757, 952, 707, 8511, 568, 5116, 689, 5087, 547, 5045, 563, 27039, 593, 519, 3259, 540, 519, 8511, 519, 9819, 540, 3606, 642, 757, 568, 1739, 281, 476, 272, 268, 273, 642, 757, 616, 2614, 585, 513, 476, 275, 7397, 1279, 8511, 282, 476, 277, 7397, 1279, 8511, 1131, 2154, 476, 273, 268, 275, 642, 757, 282, 476, 279, 7397, 910, 476, 274, 268, 277, 642, 757, 267, 476, 1015, 7397, 476, 275, 268, 279, 642, 757, 563, 24400, 2127, 540, 10380, 540, 3606, 642, 757, 912, 2171, 4363, 11093, 642, 757, 593, 519, 5045, 2427, 540, 519, 8511, 2094, 713, 2427, 568, 12699, 1034, 6385, 269, 12305, 532, 642, 757, 593, 519, 5087, 2427, 540, 519, 8511, 568, 1152, 19624, 952, 519, 8511, 568, 11303, 676, 4054, 610, 5656, 267, 799, 2149, 519, 8511, 689, 4411, 7187, 2842, 31830, 338, 563, 2005, 568, 5227, 547, 1747, 642, 757, 6251, 547, 519, 1283, 540, 519, 8511, 269, 901, 568, 1141, 2837, 568, 519, 5207, 563, 5575, 540, 782, 3888, 642, 757, 538, 519, 3844, 851, 540, 519, 8511, 269, 2991, 2072, 3888, 642, 757, 607, 2556, 563, 24066, 10663, 1863, 2230, 269, 6875, 883, 2272, 602, 519, 3095, 11237, 602, 13462, 9095, 338, 666, 29572, 10380, 540, 513, 6023, 610, 14910, 3926, 563, 2710, 711, 1747, 642, 757, 2282, 608, 1080, 269, 0, 1103, 519, 2479, 21608, 5251, 540, 2029, 267, 519, 19427, 540, 519, 5691, 543, 2168, 10600, 814, 2016, 4473, 547, 513, 13710, 7613, 1634, 607, 15536, 268, 16498, 7010, 630, 290, 4916, 1040, 901, 5610, 540, 12985, 2609, 609, 2168, 3157, 6585, 519, 1883, 547, 5935, 938, 2104, 538, 26441, 8151, 689, 2872, 543, 3782, 547, 5100, 4872, 269, 769, 713, 3408, 267, 649, 5490, 883, 519, 14960, 540, 6880, 14428, 9713, 1949, 543, 741, 2484, 23568, 6286, 563, 9377, 1456, 15536, 268, 16498, 7010, 281, 2311, 922, 4295, 267, 513, 15536, 268, 16498, 3590, 4564, 519, 12760, 540, 2780, 2861, 6620, 267, 13033, 7207, 267, 543, 2168, 3157, 269, 898, 1025, 2720, 519, 6302, 1063, 519, 3059, 543, 2168, 26441, 267, 2870, 10995, 1949, 5827, 540, 5464, 267, 7421, 267, 543, 14775, 547, 519, 1483, 8996, 1604, 269, 1452, 1949, 16900, 11753, 8800, 267, 3301, 267, 543, 1480, 2609, 267, 5807, 513, 1007, 5736, 540, 10562, 10342, 563, 26581, 7434, 10241, 281, 769, 519, 4853, 5251, 267, 6880, 14428, 9713, 1949, 616, 721, 17518, 538, 513, 1007, 5736, 540, 4398, 543, 12957, 269, 12829, 15327, 15407, 595, 4916, 547, 1711, 10562, 1949, 602, 5688, 1047, 5663, 3157, 269, 7464, 6066, 1239, 12642, 267, 9300, 5121, 267, 543, 4359, 1852, 6620, 5512, 891, 1949, 547, 3082, 547, 4657, 2175, 267, 6922, 1047, 29987, 267, 543, 3986, 2949, 7607, 563, 2690, 1383, 267, 538, 5663, 267, 595, 4916, 2636, 585, 16762, 5826, 676, 11179, 5464, 3937, 2175, 269, 1403, 513, 3684, 2982, 4191, 540, 31587, 5821, 267, 519, 1062, 666, 8850, 8430, 5826, 267, 4227, 29987, 543, 7303, 14427, 2736, 23957, 269, 901, 1377, 540, 13916, 543, 16762, 12588, 568, 13321, 2757, 6080, 883, 26227, 267, 1239, 12454, 8134, 563, 10890, 3249, 11627, 725, 281, 769, 519, 7706, 540, 3782, 267, 6880, 14428, 9713, 1949, 616, 28196, 1456, 3461, 1416, 543, 2564, 26129, 269, 22647, 3461, 5464, 1949, 267, 7471, 609, 28707, 3457, 543, 9300, 5121, 267, 1683, 1483, 6066, 1072, 1239, 547, 3782, 4648, 269, 901, 16881, 2038, 7020, 540, 1072, 2152, 267, 10531, 2126, 4566, 267, 543, 4824, 3461, 4093, 563, 12234, 267, 595, 4916, 4249, 513, 2629, 1909, 538, 519, 1646, 540, 5100, 2564, 3457, 269, 3245, 5100, 7378, 15450, 602, 6895, 543, 4188, 7378, 2157, 538, 1483, 6066, 547, 15498, 762, 8596, 602, 10141, 4105, 1239, 267, 891, 10124, 616, 7393, 3461, 1416, 267, 4227, 519, 991, 585, 7928, 6413, 11564, 267, 543, 16779, 2043, 547, 8362, 4383 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 270, 1548, 779, 2201, 454, 2690, 1453, 9907, 909, 547, 476, 1240, 3275, 267, 891, 7886, 1445, 593, 2679, 4205, 1063, 15637, 543, 9002, 998, 3838, 2984, 543, 2241, 8964, 543, 30053, 563, 1805, 800, 5503, 7512, 513, 2648, 540, 2984, 267, 2835, 543, 2542, 543, 2337, 7520, 5042, 267, 1893, 543, 1514, 1646, 538, 1453, 269, 3414, 13465, 8964, 543, 30053, 267, 1453, 1020, 13093, 1670, 4656, 543, 1589, 22883, 6053, 1247, 2542, 7512, 1820, 8404, 267, 1565, 875, 2835, 960, 269, 1452, 7886, 1331, 2238, 602, 948, 1453, 2259, 5386, 5179, 1983, 267, 1739, 8846, 543, 8300, 741, 9345, 563, 26835, 543, 1404, 1310, 938, 9452, 5503, 8400, 563, 8794, 1028, 9285, 9162, 267, 3756, 543, 2238, 267, 13773, 543, 7591, 2636, 1453, 547, 3986, 7279, 543, 5876, 267, 547, 1451, 607, 789, 3605, 267, 27906, 1047, 543, 4952, 563, 2005, 568, 513, 1390, 4316, 585, 15637, 543, 1453, 547, 2743, 543, 1921, 609, 1866, 538, 513, 2922, 543, 22205, 1604, 269, 0, 11795, 2397, 9737, 654, 1600, 19371, 1656, 23694, 539, 19371, 269, 769, 713, 2376, 267, 596, 786, 2097, 547, 917, 827, 1018, 568, 29040, 4837, 267, 1018, 568, 4806, 539, 4837, 267, 1018, 568, 519, 1292, 3017, 1063, 29040, 4837, 543, 4806, 539, 4837, 267, 543, 1454, 811, 563, 13828, 519, 2474, 29040, 4837, 543, 4806, 539, 4837, 616, 519, 2010, 540, 14296, 602, 616, 1031, 538, 4070, 543, 585, 1114, 5301, 269, 19371, 568, 513, 12001, 6219, 602, 666, 581, 12001, 267, 6037, 1075, 550, 267, 610, 28221, 269, 634, 1184, 602, 568, 1031, 547, 5478, 519, 4837, 568, 1634, 607, 519, 2048, 325, 4288, 1184, 9957, 769, 713, 1184, 267, 519, 5070, 568, 535, 4310, 609, 14614, 267, 18654, 267, 543, 1585, 8098, 4869, 999, 269, 3973, 713, 7848, 568, 22799, 6385, 267, 3976, 8108, 513, 4837, 563, 763, 3017, 538, 519, 14296, 2482, 538, 741, 1818, 1184, 269, 3371, 267, 649, 786, 1101, 1865, 519, 1292, 3017, 1063, 29040, 4837, 543, 4806, 539, 4837, 267, 1287, 16174, 1063, 873, 538, 1469, 563, 1432, 1772, 634, 6301, 16338, 9737, 654, 1600, 19371, 1656, 23694, 539, 19371, 888, 763, 1292, 3017, 1063, 29040, 4837, 543, 4806, 539, 4837, 568, 602, 519, 912, 8862, 1600, 4837, 568, 513, 4837, 1500, 676, 32750, 513, 5374, 5911, 17450, 1282, 2504, 269, 901, 17450, 6411, 607, 15699, 563, 6261, 520, 1181, 539, 4837, 568, 1500, 676, 8429, 998, 519, 5066, 619, 602, 723, 3270, 593, 873, 269, 898, 568, 2047, 23953, 883, 519, 5066, 619, 689, 519, 19460, 269, 3973, 267, 621, 568, 8032, 543, 32319, 4705, 547, 5551, 11098, 543, 2450, 563, 1432, 1772, 654, 1600, 19371, 888, 310, 1600, 4837, 568, 849, 1634, 607, 9677, 1014, 29040, 4837, 269, 654, 1600, 4837, 568, 4837, 1500, 676, 32750, 513, 5374, 5911, 17450, 1282, 2504, 269, 901, 17450, 6411, 607, 15699, 269, 1403, 513, 4837, 9397, 267, 519, 4773, 540, 7745, 4837, 786, 581, 4371, 538, 1747, 676, 519, 5911, 17450, 1510, 10825, 547, 519, 2666, 269, 9747, 267, 948, 538, 7303, 3276, 6921, 776, 610, 17403, 563, 310, 1600, 4837, 568, 849, 1164, 538, 4187, 950, 6534, 547, 3595, 269, 898, 1281, 711, 2736, 3362, 950, 621, 568, 12699, 269, 898, 7161, 3595, 1360, 1134, 543, 3217, 930, 942, 547, 4283, 519, 2679, 267, 8754, 4758, 942, 585, 1004, 547, 9101, 269, 9603, 547, 713, 3959, 267, 621, 568, 849, 17941, 607, 2048, 27852, 19577, 19371, 9957, 1924, 267, 538, 971, 4025, 602, 616, 12155, 267, 1004, 6140, 1031, 29040, 4837, 607, 3379, 547, 10581, 4837, 538, 519, 4070, 269, 898, 814, 1164, 4187, 547, 8143, 543, 3167, 8710, 454, 310, 1600, 4837, 568, 2139, 538, 1585, 7306, 543, 11098, 269, 898, 9832, 689, 476, 277, 7825, 547, 476, 866, 6515, 269, 634, 3044, 2450, 540, 4837, 9212, 568, 476, 15389, 271, 6515, 1535, 476, 15389, 271, 6515, 269, 634, 5021, 2450, 540, 29040, 4837, 6656, 2139, 568, 476, 2735, 272, 6515, 1535, 476, 22724, 271, 6515, 563, 1432, 1772, 23694, 539, 19371, 888, 763, 1101, 1184, 540, 1818, 519, 4806, 4837, 568, 13621, 21958, 5070, 267, 14614, 267, 543, 18654, 616, 1927, 538, 513, 7382, 269, 3973, 267, 621, 568, 5293, 998, 519, 5066, 619, 602, 723, 3270, 593, 873, 269, 898, 568, 2047, 23953, 883, 519, 5066, 619, 689, 519, 19460, 269, 3973, 267, 621, 568, 8032, 543, 32319, 4705, 547, 5551, 11098, 543, 2450, 269, 23694, 4837, 568, 513, 1826, 540, 18202, 4837, 269, 1703, 616, 1079, 2010, 540, 18202, 4837, 267, 835, 568, 4806, 539, 4837, 543, 519, 824, 568, 29040, 4837, 563, 763, 824, 4408, 585, 4806, 539, 4837, 616, 23125, 4837, 267, 21372, 4837, 267, 543, 16560, 4837, 269, 898, 568, 2139, 538, 11098, 540, 476, 272, 270, 279, 10759, 547, 476, 274, 270, 279, 514, 577, 269, 901, 4837, 568, 5293, 998, 519, 4806, 5066, 619, 543, 602, 4806, 568, 31960, 593, 1312, 5011, 540, 519, 4837, 269, 23694, 539, 4837, 666, 581, 1031, 585, 7834, 610, 2901, 23732, 269, 634, 1769, 666, 3362, 1780, 998, 519, 4806, 4837, 563, 1432, 3657, 634, 16544, 2986, 19371, 888, 763, 476, 277, 1292, 3601, 540, 4837, 616, 607, 896, 912, 763, 1292, 3959, 540, 4837, 568, 11413, 269, 634, 12001, 519, 4837, 267, 519, 1732, 519, 5075, 540, 602, 4837, 269, 15394, 267, 519, 14296, 616, 12001, 689, 1312, 5011, 267, 855, 972, 568, 930, 4837, 602, 568, 12001, 689, 835, 2427, 1152, 269, 1323, 1383, 540, 971, 2010, 540, 14296, 616, 19141, 602, 723, 1152, 835, 2427, 11413, 563, 763, 4222, 540, 4837, 568, 519, 2034, 3959, 540, 4837, 269, 898, 5673, 593, 519, 29870, 540, 519, 8297, 696, 3293, 1871, 540, 4837, 269, 634, 4837, 568, 1360, 28221, 7620, 269, 1284, 1039, 8098, 4869, 999, 543, 22495, 919, 547, 1118, 621, 811, 6793, 563, 763, 960, 1464, 540, 519, 4837, 568, 513, 9120, 3959, 269, 19371, 666, 581, 22285, 539, 883, 1022, 3337, 950, 24268, 563, 288, 4837, 1058, 723, 7298, 10141, 339, 766, 3959, 269, 898, 1797, 602, 513, 7298, 6824, 540, 1769, 1058, 1780, 998, 519, 4837, 563, 763, 579, 17032, 540, 519, 4837, 568, 519, 2179, 540, 3002, 602, 666, 581, 5293, 998, 519, 4837, 269, 6145, 267, 952, 519, 4837, 568, 1202, 4327, 519, 4837, 786, 723, 513, 2539, 579, 17032, 563, 288, 4837, 666, 2141, 581, 13381, 269, 898, 814, 476, 1911, 260, 6691, 762, 3959, 269, 898, 568, 1031, 607, 513, 6151, 1570, 538, 519, 4070, 2872, 563, 10623, 25733, 3239, 2707, 281, 568, 339, 1442, 874, 9369, 2593, 0, 26670, 3496, 6051, 538, 2866, 666, 723, 513, 5732, 7372, 1764, 593, 606, 19002, 781, 2773, 563, 27078, 22162, 6051, 1522, 1291, 547, 3844, 8401, 1062, 630, 290, 10064, 264, 9854, 267, 9846, 6849, 7496, 267, 1519, 936, 10177, 1456, 267, 5945, 267, 4576, 267, 543, 25794, 269, 7743, 6051, 666, 1450, 6091, 547, 7816, 2933, 543, 2569, 4887, 15319, 1145, 689, 707, 15904, 563, 2467, 616, 1079, 2010, 540, 6051, 563, 306, 4041, 7968, 814, 519, 1034, 1713, 1909, 538, 12809, 6051, 267, 2523, 3781, 3207, 269, 2290, 5662, 540, 513, 1554, 3207, 666, 1405, 5372, 476, 272, 2381, 540, 3781, 3207, 563, 2691, 594, 2161, 3781, 3207, 267, 594, 1611, 519, 6885, 540, 476, 275, 547, 476, 276, 3108, 1063, 476, 280, 10681, 543, 476, 273, 993, 616, 519, 1034, 2565, 3108, 547, 581, 4628, 18069, 269, 12619, 31398, 337, 1882, 1004, 949, 1995, 11029, 2242, 538, 9449, 2157, 267, 799, 666, 1291, 547, 2362, 2157, 540, 23280, 630, 320, 2566, 9449, 264, 543, 513, 6175, 538, 1480, 2208, 9449, 543, 1474, 520, 739, 11294, 267, 799, 568, 3742, 1282, 5160, 7816, 563, 28036, 3341, 2337, 547, 2061, 23280, 6173, 725, 543, 7028, 5283, 28853, 2504, 267, 2059, 609, 3141, 4598, 538, 519, 2038, 6640, 3108, 563, 306, 10547, 942, 1058, 581, 14284, 693, 2547, 513, 1906, 3108, 1354, 21557, 607, 4544, 8279, 32570, 519, 2634, 563, 763, 2034, 1271, 3364, 538, 12809, 6051, 568, 11981, 835, 1554, 1055, 689, 2866, 2238, 547, 1577, 519, 595, 10064, 630, 25218, 8401, 1062, 3738, 9156, 269, 634, 595, 10064, 3340, 693, 2547, 476, 2190, 547, 476, 4366, 3108, 1354, 513, 2147, 2866, 9570, 269, 4438, 713, 1974, 267, 519, 19002, 1058, 10929, 6051, 2994, 547, 11177, 27921, 563, 22134, 1674, 543, 12594, 454, 4322, 616, 1079, 540, 519, 1034, 4105, 3344, 540, 3742, 6051, 269, 30785, 20697, 5673, 593, 2534, 2157, 543, 1058, 1331, 7850, 6070, 543, 7777, 6981, 269, 634, 6484, 1544, 3322, 4189, 2635, 538, 519, 1318, 9486, 2429, 519, 1554, 267, 799, 786, 948, 11177, 519, 1560, 781, 1648, 3761, 543, 3986, 707, 2773, 543, 6051, 563, 22709, 720, 2337, 547, 3138, 4923, 909, 6091, 267, 2333, 5135, 543, 1973, 2095, 883, 6091, 267, 4894, 561, 12519, 3679, 19221, 630, 6518, 2306, 596, 15319, 1070, 543, 20205, 5567, 689, 707, 1560, 547, 707, 6091, 563, 2419, 328, 18132, 545, 12879, 568, 7311, 2604, 547, 513, 1268, 781, 12636, 610, 824, 2694, 540, 741, 1560, 676, 513, 11727, 31497, 4387, 269, 634, 2604, 2636, 513, 23096, 528, 547, 4188, 543, 2953, 12972, 543, 6663, 547, 2569, 1928, 543, 2087, 7344, 1599, 610, 875, 513, 1268, 7575, 563, 293, 27961, 17029, 1782, 568, 513, 1106, 540, 1582, 2173, 344, 1993, 553, 1017, 5305, 269, 17029, 1782, 6091, 666, 948, 547, 960, 856, 25418, 538, 519, 9395, 6091, 543, 14398, 687, 1063, 6091, 543, 3673, 807, 267, 7303, 4887, 15319, 1145, 267, 5355, 1973, 2095, 267, 543, 2810, 519, 2039, 540, 5163, 563, 300, 984, 1006, 543, 21253, 2225, 454, 300, 984, 1006, 2866, 4679, 519, 2039, 540, 5163, 267, 5932, 1852, 538, 6091, 4478, 1142, 4745, 267, 543, 2337, 596, 1847, 11884, 563, 293, 2716, 2225, 568, 519, 15198, 543, 561, 1263, 28517, 540, 519, 6091, 269, 1635, 2810, 519, 12701, 543, 3259, 540, 24561, 5160, 267, 649, 666, 948, 938, 1560, 998, 513, 2407, 2039, 540, 3350, 1510, 4929, 5945, 267, 20765, 267, 610, 1928, 563, 31640, 543, 12019, 3797, 454, 2005, 24716, 606, 4672, 8602, 630, 4411, 17643, 264, 543, 513, 1094, 10044, 630, 14653, 17643, 1040, 1411, 1616, 547, 581, 2386, 547, 1376, 543, 1439, 609, 4411, 630, 3697, 606, 4672, 8602, 1040, 30180, 538, 519, 4672, 8602, 585, 827, 476, 3393, 7643, 543, 1287, 883, 519, 3905, 17643, 585, 476, 274, 547, 476, 275, 3764, 269, 19244, 713, 2947, 547, 3670, 2053, 269, 634, 2640, 540, 670, 5588, 543, 2910, 17162, 3797, 616, 547, 2333, 1973, 2095, 547, 519, 6091, 543, 3432, 909, 519, 8851, 540, 561, 12519, 3679, 563, 296, 576, 8602, 3123, 519, 1560, 781, 1973, 8043, 547, 1526, 2774, 267, 11319, 519, 1973, 2476, 689, 519, 4887, 1317, 540, 519, 3579, 2837, 269, 4495, 596, 616, 2944, 543, 1376, 547, 3636, 909, 267, 519, 8043, 1930, 909, 543, 1450, 1973, 547, 2095, 1394, 883, 519, 4887, 267, 8744, 609, 621, 811, 5135, 547, 948, 596, 9156, 563, 306, 320, 10044, 610, 1094, 10044, 28876, 568, 2110, 3856, 12809, 4598, 547, 3665, 3002, 269, 634, 4598, 19310, 1080, 606, 2333, 538, 519, 2295, 2557, 267, 1973, 8043, 11097, 523, 519, 1560, 781, 4295, 2837, 4679, 267, 543, 1973, 10009, 4679, 269, 22452, 547, 713, 3002, 666, 2087, 9025, 1072, 267, 19140, 1518, 267, 2333, 10307, 267, 2569, 1928, 267, 3986, 2960, 29915, 566, 267, 543, 14867, 2566, 543, 11005, 563, 16100, 1310, 707, 1560, 267, 543, 621, 786, 1413, 1310, 596, 256, 21763, 547, 917, 811, 827, 6051, 543, 875, 596, 666, 1205, 1732, 286, 2913, 781, 723, 513, 6995, 610, 6494, 803, 606, 4757, 256, 0, 18154, 549, 933, 476, 274, 264, 901, 9727, 602, 972, 568, 513, 1689, 538, 19743, 1090, 779, 2219, 1184, 543, 602, 713, 786, 1689, 1010, 7209, 543, 1582, 268, 1211, 2305, 269, 22682, 267, 519, 12638, 540, 2506, 5471, 339, 570, 650, 4299, 875, 19743, 1090, 9763, 5128, 543, 1866, 269, 6969, 267, 19743, 1090, 1223, 581, 4330, 607, 513, 1762, 7911, 945, 1185, 513, 9420, 267, 10373, 2648, 585, 1010, 22516, 543, 519, 3162, 269, 1717, 267, 1010, 1995, 609, 2506, 5471, 339, 570, 650, 543, 11287, 513, 12638, 602, 1010, 22516, 729, 851, 540, 6963, 539, 19743, 1090, 267, 945, 3357, 547, 1294, 519, 20924, 538, 519, 2899, 7329, 22690, 545, 1747, 563, 1103, 519, 6648, 968, 1721, 15130, 1250, 4651, 5608, 12359, 4068, 1849 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 547, 834, 18698, 29055, 24601, 15907, 519, 2622, 10590, 769, 713, 1770, 267, 649, 786, 1491, 596, 593, 513, 5691, 3460, 547, 930, 540, 519, 1034, 18198, 4025, 593, 3047, 269, 1411, 1810, 1405, 723, 547, 3640, 707, 11435, 1107, 1175, 1930, 909, 707, 9345, 543, 1205, 4712, 547, 3605, 1007, 4529, 267, 4190, 24738, 267, 543, 2189, 2833, 256, 4653, 267, 1577, 781, 7832, 593, 606, 7045, 547, 11894, 267, 513, 15999, 2197, 602, 13462, 2342, 543, 5607, 780, 5331, 24971, 909, 2038, 538, 519, 6640, 543, 13735, 9900, 538, 519, 2011, 1247, 8384, 519, 3141, 23438, 936, 513, 5251, 7429, 1022, 824, 269, 3143, 267, 621, 779, 711, 513, 5326, 282, 621, 779, 3905, 2011, 17891, 532, 538, 595, 1952, 611, 665, 807, 267, 11894, 256, 29321, 1194, 538, 3844, 26277, 16288, 267, 595, 1952, 611, 665, 807, 19646, 9058, 4224, 21272, 1572, 968, 325, 8543, 16403, 7958, 892, 2813, 676, 6634, 540, 1296, 540, 2842, 543, 1216, 11761, 269, 898, 779, 3592, 607, 952, 596, 22283, 5196, 1776, 4541, 2439, 3086, 267, 4605, 3054, 3695, 3504, 11895, 4872, 20077, 883, 519, 2571, 15027, 4224, 269, 2060, 25310, 543, 11623, 15198, 909, 547, 5216, 2984, 2630, 2666, 267, 891, 6456, 2261, 12069, 2899, 6039, 607, 15720, 9634, 1282, 2053, 540, 2112, 543, 1631, 2709, 721, 513, 19214, 883, 1686, 269, 1215, 3579, 1131, 621, 581, 547, 3802, 998, 5728, 15102, 543, 10625, 6456, 16782, 2496, 3719, 7227, 267, 972, 781, 811, 256, 5620, 596, 2479, 9289, 1018, 1272, 729, 899, 5553, 3516, 950, 1004, 887, 1372, 9640, 3079, 540, 6517, 286, 4270, 267, 4898, 1100, 811, 256, 769, 595, 1952, 611, 665, 807, 267, 7504, 3724, 14964, 19150, 1450, 596, 547, 2263, 23898, 543, 15113, 693, 707, 1378, 10605, 267, 782, 1247, 7680, 519, 3148, 607, 1004, 1705, 1279, 1354, 5179, 1242, 6472, 941, 11827, 269, 18461, 519, 4276, 1063, 3425, 543, 2831, 607, 596, 7708, 339, 2059, 7452, 344, 18162, 11303, 676, 9159, 4091, 7685, 780, 5475, 7836, 942, 13964, 267, 23365, 3054, 538, 15349, 2528, 676, 9683, 2757, 536, 18054, 1513, 4904, 609, 7524, 4778, 267, 21915, 531, 1944, 24462, 267, 543, 7874, 17137, 269, 6657, 688, 31227, 2553, 607, 596, 2119, 547, 2879, 698, 513, 20476, 664, 593, 6946, 23907, 267, 1688, 342, 8576, 678, 13903, 267, 610, 8949, 14546, 269, 5457, 267, 27410, 5777, 666, 581, 851, 540, 519, 1187, 2439, 7661, 267, 18656, 3101, 538, 5023, 22476, 11951, 568, 1898, 585, 1169, 1390, 7552, 269, 12465, 15349, 8286, 16802, 609, 8137, 7064, 547, 21464, 946, 540, 11922, 267, 14546, 267, 4195, 5388, 267, 543, 10709, 16469, 269, 5213, 1405, 7340, 547, 4688, 4055, 585, 6653, 13000, 971, 607, 29221, 331, 6072, 267, 513, 1232, 611, 550, 2250, 787, 1500, 540, 6106, 540, 32443, 14561, 14859, 4904, 609, 22872, 10808, 543, 9932, 269, 962, 636, 2439, 2026, 3781, 8813, 267, 1964, 707, 2212, 538, 835, 540, 595, 1952, 611, 665, 807, 781, 18241, 13946, 20730, 267, 799, 11100, 3140, 19259, 609, 2413, 635, 325, 2176, 269, 5994, 12008, 3280, 569, 3330, 513, 6899, 4055, 20077, 883, 519, 10239, 728, 1107, 875, 1082, 540, 707, 2828, 666, 2161, 789, 4312, 2944, 8946, 2969, 2496, 307, 584, 4486, 14767, 606, 20605, 7045, 2407, 540, 26208, 1472, 1169, 7944, 269, 1924, 2097, 6443, 721, 607, 649, 5490, 4514, 883, 713, 9589, 10278, 543, 1711, 8823, 602, 786, 2063, 513, 10715, 256, 3657, 596, 4712, 547, 14970, 31597, 23800, 630, 299, 269, 308, 269, 311, 4700, 286, 2913, 781, 979, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 291, 2177, 31415, 16038, 6573, 14877, 570, 30728, 2676, 299, 25893, 772, 299, 2316, 300, 12442, 2473, 25807, 296, 27301, 2464, 630, 299, 269, 308, 269, 311, 8094, 5978, 700, 269, 308, 269, 311, 269, 13268, 1137, 3417, 912, 5978, 631, 3008, 311, 5234, 616, 1934, 547, 1683, 596, 609, 12601, 28475, 8025, 5058, 596, 1223, 7654, 991, 610, 1616, 269, 1284, 616, 2141, 513, 1257, 610, 6049, 1289, 2476, 267, 865, 798, 711, 19292, 547, 2307, 607, 649, 616, 1934, 547, 948, 596, 14970, 31597, 2473, 704, 7891, 2336, 4517, 13518, 2859, 19601, 6224, 2562, 288, 910, 5990, 772, 299, 2316, 300, 12442, 700, 308, 311, 7838, 312, 623, 11286, 312, 570, 5495, 11965, 454, 16521, 2659, 2473, 704, 1466, 454, 263, 23086, 2974, 1403, 9314, 539, 769, 3525, 4328, 7102, 13268, 720, 12989, 994, 9616, 281, 1452, 15004, 1331, 3084, 24515, 585, 2951, 1369, 11894, 267, 855, 11298, 10691, 1331, 3486, 19426, 547, 11894, 269, 7490, 2689, 938, 14174, 304, 2985, 585, 811, 3877, 593, 713, 607, 1134, 607, 824, 1271, 1344, 563, 257, 290, 4338, 303, 4696, 302, 5746, 288, 590, 7419, 305, 30990, 257, 910, 570, 7838, 17395, 312, 476, 1708, 275, 454, 9199, 767, 532, 547, 11894, 568, 899, 19480, 883, 513, 7706, 1141, 519, 5101, 543, 519, 4639, 27721, 269, 901, 1098, 11666, 1581, 2197, 267, 1141, 2342, 10742, 5607, 267, 3091, 606, 6909, 4763, 540, 2833, 269, 3245, 519, 10875, 9923, 13196, 540, 594, 30955, 547, 519, 16264, 6438, 8916, 540, 595, 1952, 611, 665, 807, 267, 11894, 568, 513, 2244, 540, 4241, 24716, 267, 530, 615, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 14464, 569, 10164, 550, 15327, 540, 519, 2104, 2439, 5331, 19480, 883, 513, 12051, 1141, 6191, 666, 1294, 267, 5873, 267, 1589, 267, 543, 1256, 1451, 899, 3425, 798, 256, 16319, 3579, 267, 1318, 286, 901, 3884, 1405, 1175, 2257, 5708, 282, 621, 781, 519, 2104, 540, 5663, 256, 2913, 781, 4685, 883, 875, 3642, 2306, 713, 2009, 543, 1018, 621, 1797, 585, 721, 780, 1262, 8450, 532, 998, 519, 4064, 540, 6191, 26279, 15542, 1559, 2221, 946, 12514, 585, 3354, 5301, 269, 1809, 4166, 267, 891, 12514, 786, 1831, 1454, 21273, 256, 2060, 1412, 21581, 607, 513, 32190, 3299, 12514, 786, 11179, 7747, 543, 5659, 3388, 8345, 3330, 513, 12051, 269, 1280, 1326, 827, 2241, 5163, 7020, 1107, 649, 2811, 6158, 827, 5904, 1620, 1018, 789, 1294, 543, 1818, 3664, 1759, 593, 602, 1344, 780, 7078, 942, 256, 5994, 513, 8773, 3957, 7605, 2421, 2324, 593, 606, 10198, 1899, 269, 1261, 814, 513, 8254, 7923, 547, 1010, 7406, 799, 7683, 18767, 519, 1858, 1472, 1864, 269, 22582, 267, 646, 12034, 513, 530, 3402, 14084, 593, 519, 6989, 2282, 835, 540, 1010, 32283, 518, 11608, 269, 5502, 540, 24937, 621, 267, 646, 15920, 856, 606, 10332, 547, 723, 2576, 4584, 909, 519, 1907, 1354, 4896, 15143, 936, 621, 256, 2334, 781, 7168, 16517, 267, 26001, 2496, 1262, 1320, 9722, 1500, 2653, 609, 22750, 17270, 20905, 26279, 2791, 1522, 4898, 910, 782, 713, 4393, 1379, 1590, 991, 5458, 2780, 1949, 267, 2953, 286, 715, 2100, 256, 20821, 22750, 17270, 20905, 267, 11741, 2706, 28669, 619, 5116, 2673, 547, 1141, 960, 4523, 269, 1452, 9910, 1606, 10967, 12516, 525, 1184, 1804, 5666, 540, 1239, 3533, 1247, 2921, 8766, 2230, 269, 1358, 948, 2569, 17799, 1063, 7487, 1945, 4755, 543, 32232, 9935, 780, 4131, 781, 979, 1394, 547, 938, 3659, 7605, 2421, 269, 1879, 646, 9634, 602, 530, 3402, 267, 972, 781, 1100, 991, 547, 6494, 519, 3381, 3049, 782, 519, 1259, 547, 513, 2462, 3844, 7746, 25708, 269, 1323, 6316, 7384, 3926, 7404, 11392, 519, 3239, 267, 3157, 621, 14678, 267, 17358, 602, 972, 781, 513, 4914, 1843, 593, 519, 6989, 267, 543, 25887, 5826, 5234, 5612, 269, 16797, 2962, 17990, 519, 1554, 2439, 1262, 13981, 2760, 13515, 609, 3642, 1299, 16066, 26279, 3086, 596, 917, 875, 6191, 666, 1174, 2592, 543, 957, 3728, 269, 1717, 267, 9327, 1405, 621, 581, 5863, 952, 789, 1223, 849, 3314, 2250, 2621, 543, 2087, 2933, 1210, 1346, 8823, 286, 4270, 267, 10950, 547, 519, 1158, 540, 10724, 4804, 630, 7876, 1070, 513, 15410, 540, 3642, 269, 4635, 1950, 6310, 6620, 267, 6191, 1353, 3270, 538, 3140, 1239, 543, 1628, 3631, 547, 3589, 4093, 269, 3683, 942, 267, 789, 1205, 1732, 693, 9301, 1919, 267, 3056, 547, 811, 4977, 11236, 780, 1103, 938, 1201, 10320, 1650, 267, 4952, 602, 1169, 942, 513, 21383, 4386, 267, 8030, 4063, 1524, 3877, 971, 607, 4087, 267, 2014, 267, 543, 2973, 5346, 942, 269, 1635, 8023, 713, 9623, 547, 519, 3642, 1062, 267, 621, 6238, 7114, 19408, 2127, 543, 11021, 15324, 3800, 269, 898, 9247, 3587, 21273, 1142, 1554, 2439, 3383, 1934, 649, 616, 267, 3695, 519, 4241, 7706, 540, 5100, 15327, 13324, 676, 3642, 543, 14164, 269, 1306, 3214, 267, 621, 949, 1491, 1896, 1296, 2394, 649, 1900, 3723, 883, 835, 540, 891, 13777, 22618, 6703, 269, 11048, 267, 29681, 2462, 543, 3478, 8049, 827, 14182, 781, 10509, 10124, 5956, 2221, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 27319, 5517, 1559, 543, 8921, 2637, 4083, 11561, 269, 589, 6733, 693, 519, 4676, 10320, 540, 519, 8892, 454, 25748, 12253, 1715, 2006, 267, 25867, 8890, 560, 693, 28358, 584, 636, 3194, 5941, 11473, 607, 513, 32190, 609, 27692, 6428, 21590, 540, 6809, 5658, 11906, 338, 267, 12254, 8895, 753, 7288, 540, 24399, 267, 543, 670, 14154, 779, 10222, 653, 3487, 664, 269, 589, 1883, 3693, 540, 519, 4676, 10320, 540, 519, 8892, 267, 519, 11473, 607, 513, 32190, 3070, 10905, 3381, 9300, 2029, 267, 6316, 7384, 3457, 267, 5841, 4987, 630, 9590, 264, 543, 3684, 1565, 630, 7876, 264, 547, 3142, 8476, 267, 1483, 6066, 1239, 547, 4835, 2030, 12427, 865, 789, 616, 1732, 17479, 547, 2232, 519, 1034, 7580, 3344, 540, 741, 2816, 269, 634, 3070, 568, 3366, 543, 7471, 676, 24399, 267, 609, 2565, 4066, 3177, 676, 670, 14154, 543, 27311, 563, 763, 4676, 10320, 540, 519, 8892, 267, 18611, 693, 6809, 5658, 11906, 338, 538, 8895, 6511, 5244, 267, 7147, 267, 9607, 930, 540, 519, 1034, 10296, 2152, 6849, 519, 3810, 8013, 3282, 543, 3154, 2872, 267, 1519, 19458, 25359, 267, 22608, 2825, 4441, 267, 8013, 12503, 267, 543, 9036, 3106, 563, 2690, 6809, 5658, 267, 513, 3114, 605, 806, 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, 630, 9590, 264, 585, 8866, 257, 607, 851, 540, 834, 16300, 13493, 1315, 23675, 1315, 4937, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 7170, 281, 4045, 532, 609, 2659, 674, 5202, 31001, 281, 16871, 519, 20154, 19120, 885, 540, 7756, 9697, 6601, 2644, 692, 21010, 532, 609, 2659, 674, 5202, 31001, 281, 16871, 519, 20154, 19120, 885, 540, 7756, 9697, 6601, 2644, 692, 7072, 912, 290, 1846, 723, 1044, 26060, 607, 10143, 7068, 2429, 1686, 267, 2404, 609, 1585, 15831, 525, 2066, 1114, 4529, 269, 1635, 8220, 609, 707, 26804, 13959, 781, 5289, 7907, 267, 596, 666, 7794, 707, 6125, 543, 9784, 513, 4514, 2631, 540, 11009, 543, 5289, 2208, 269, 901, 15825, 786, 3391, 596, 998, 12423, 543, 14637, 891, 7907, 538, 1896, 2442, 3032, 14981, 780, 3721, 476, 272, 281, 4197, 519, 10417, 540, 674, 5202, 31001, 525, 454, 9596, 827, 519, 13299, 4478, 535, 3894, 543, 741, 7681, 609, 24587, 899, 645, 770, 564, 630, 534, 2615, 5527, 1070, 6154, 5984, 630, 301, 16017, 1070, 543, 3203, 28087, 630, 31528, 1040, 25506, 602, 1169, 3032, 814, 922, 1378, 2189, 1648, 543, 7326 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 566, 563, 1692, 798, 596, 1205, 13455, 14251, 566, 286, 2368, 1826, 540, 1875, 11060, 10846, 547, 3970, 17931, 540, 14251, 725, 269, 744, 12965, 2209, 3622, 2874, 540, 513, 19218, 543, 1802, 2758, 29040, 538, 6252, 563, 1103, 31515, 966, 2320, 725, 543, 744, 12965, 725, 269, 1411, 2285, 1022, 540, 873, 930, 1648, 676, 18644, 621, 609, 513, 17200, 267, 543, 856, 2501, 513, 9758, 2560, 3280, 5951, 267, 609, 513, 4908, 267, 513, 15423, 267, 513, 1974, 267, 543, 606, 17931, 563, 763, 31661, 27346, 523, 6617, 21205, 568, 1175, 606, 6654, 8343, 269, 4935, 519, 8520, 2744, 6971, 547, 9322, 543, 11931, 3942, 568, 6603, 563, 8113, 650, 2209, 5174, 1046, 27346, 523, 21205, 1923, 661, 4753, 20861, 338, 454, 302, 12965, 2209, 616, 11387, 799, 12958, 18980, 18042, 5951, 3029, 269, 594, 5170, 15259, 323, 20746, 3500, 267, 621, 13515, 267, 543, 1287, 5787, 919, 1394, 1524, 543, 2066, 519, 968, 332, 1497, 892, 610, 968, 321, 18847, 892, 1586, 269, 8158, 476, 273, 5988, 590, 5902, 543, 19467, 883, 621, 269, 1323, 14251, 566, 568, 513, 2165, 649, 1223, 946, 547, 3277, 547, 513, 2582, 4783, 540, 513, 28023, 610, 18110, 5163, 563, 5445, 666, 1491, 3403, 689, 519, 3977, 3294, 563, 2304, 3742, 3926, 547, 3761, 8520, 2744, 610, 2942, 4187, 269, 1656, 649, 3580, 946, 602, 5432, 28764, 9219, 269, 21444, 689, 519, 3312, 593, 476, 278, 5239, 0, 268, 1548, 568, 796, 4328, 6249, 888, 268, 1215, 568, 7350, 1031, 538, 4948, 1272, 888, 268, 1548, 616, 519, 2101, 4798, 538, 7350, 888, 268, 1548, 616, 519, 476, 277, 4798, 540, 7350, 888, 268, 1548, 616, 519, 476, 278, 4798, 540, 1272, 888, 268, 1548, 568, 519, 10545, 1770, 540, 1272, 888, 268, 5808, 568, 4651, 540, 7350, 888, 268, 1548, 568, 519, 1292, 1445, 540, 7350, 888, 268, 1548, 616, 519, 476, 1015, 4798, 540, 7350, 888, 268, 1548, 568, 519, 4295, 6249, 540, 7350, 888, 268, 1548, 616, 519, 2185, 796, 4328, 4798, 540, 7350, 888, 268, 1548, 616, 519, 476, 279, 4798, 540, 7350, 888, 268, 1548, 568, 27921, 1611, 888, 268, 1215, 798, 7103, 3132, 15556, 899, 2933, 888, 268, 1548, 616, 519, 476, 274, 4798, 540, 7350, 2491, 543, 2285, 606, 1383, 888, 268, 1548, 568, 519, 2495, 540, 7350, 888, 268, 1548, 616, 519, 476, 276, 3601, 540, 1272, 888, 268, 1548, 616, 519, 476, 1015, 796, 4328, 4798, 540, 1272, 888, 268, 1548, 616, 519, 476, 274, 2101, 8371, 540, 7350, 888, 1432, 568, 796, 4328, 6249, 888, 288, 796, 4328, 6249, 568, 3274, 519, 835, 2262, 270, 2288, 339, 602, 11479, 707, 1587, 11305, 6847, 563, 2005, 779, 1454, 899, 596, 8910, 723, 693, 513, 6249, 16806, 610, 513, 6249, 5428, 543, 3388, 543, 3025, 598, 13257, 547, 519, 6249, 563, 1103, 519, 1482, 1259, 267, 513, 1587, 11305, 6847, 1058, 723, 513, 2582, 6249, 4881, 1318, 998, 267, 799, 1287, 25907, 519, 1587, 1927, 10756, 1692, 568, 7350, 1031, 538, 4948, 1272, 888, 289, 5735, 829, 341, 3547, 782, 3344, 540, 4948, 1272, 269, 4658, 7048, 593, 2713, 1919, 543, 741, 2472, 585, 519, 1426, 789, 3548, 267, 741, 5321, 267, 741, 2123, 1416, 267, 741, 4492, 543, 741, 11955, 563, 1432, 616, 519, 2101, 4798, 538, 7350, 888, 763, 2947, 3844, 4798, 540, 7350, 616, 2497, 543, 1599, 540, 2281, 267, 4205, 1063, 7103, 267, 27921, 267, 12093, 543, 11976, 267, 543, 4720, 563, 1432, 616, 519, 476, 277, 4798, 540, 7350, 888, 763, 3670, 796, 4328, 4798, 1331, 281, 28053, 12856, 1299, 9577, 269, 1805, 1464, 1299, 5851, 23980, 10611, 788, 3174, 1299, 769, 615, 13330, 9950, 23728, 269, 11328, 323, 11163, 540, 5029, 3359, 8160, 2660, 267, 6052, 267, 1299, 9257, 563, 1432, 616, 519, 476, 278, 4798, 540, 1272, 888, 24404, 916, 538, 713, 1305, 630, 278, 264, 28053, 983, 12856, 543, 9577, 269, 2353, 7103, 616, 7768, 540, 835, 610, 811, 2281, 269, 2560, 3115, 3174, 269, 2353, 2713, 7103, 666, 16196, 269, 2560, 5450, 29440, 269, 2353, 2713, 7103, 2154, 1648, 602, 789, 3489, 1247, 8876, 856, 1585, 3114, 6547, 269, 2560, 5851, 23980, 269, 2560, 670, 1229, 640, 269, 2560, 12472, 269, 2560, 3955, 323, 11163, 563, 1432, 568, 519, 10545, 1770, 540, 1272, 888, 3250, 763, 1591, 568, 519, 10545, 7293, 543, 6198, 1770, 540, 2713, 7103, 267, 799, 666, 2291, 593, 922, 1378, 269, 4475, 267, 621, 568, 3006, 1572, 519, 2679, 3625, 540, 1272, 269, 2368, 7103, 267, 971, 607, 4551, 610, 13803, 267, 616, 27033, 32698, 1765, 4621, 12371, 1152, 540, 513, 2582, 1591, 1765, 6112, 1866, 267, 585, 3236, 267, 25850, 2103, 267, 616, 24352, 32698, 563, 8005, 568, 4651, 540, 7350, 888, 1432, 568, 519, 1292, 1445, 540, 7350, 888, 289, 5735, 12116, 519, 2497, 267, 1599, 267, 2208, 267, 5169, 267, 4720, 267, 543, 3892, 540, 2713, 1919, 269, 898, 1362, 5809, 543, 6257, 7103, 267, 741, 3252, 267, 875, 2249, 2097, 883, 6228, 267, 543, 519, 4205, 789, 723, 609, 1142, 824, 543, 609, 519, 2067, 1604, 563, 1432, 616, 519, 476, 1015, 4798, 540, 7350, 888, 4322, 6402, 1118, 909, 519, 476, 1015, 4798, 540, 7350, 9950, 1067, 7217, 16544, 269, 5020, 6818, 538, 513, 21712, 1106, 267, 689, 2582, 16052, 539, 4551, 547, 519, 3003, 1979, 14459, 267, 609, 782, 922, 8134, 269, 2560, 634, 8426, 269, 2560, 4173, 3386, 6176, 269, 2560, 12856, 543, 9577, 269, 2560, 7025, 29568, 269, 2560, 24720, 543, 19938, 269, 2560, 30767, 543, 16844, 269, 2560, 12472, 21457, 3688, 7498, 1432, 568, 519, 4295, 6249, 540, 7350, 888, 763, 4295, 6249, 540, 7350, 568, 4720, 269, 901, 6249, 5654, 693, 519, 1259, 7103, 3082, 547, 519, 1604, 547, 2087, 6668, 12918, 269, 2353, 1272, 593, 519, 4541, 6818, 1317, 621, 27372, 547, 1655, 3514, 519, 2825, 2175, 267, 543, 1346, 945, 3082, 1655, 267, 1780, 593, 1346, 4162, 547, 741, 15556, 563, 1432, 616, 519, 2185, 796, 4328, 4798, 540, 7350, 888, 19177, 796, 4328, 3741, 1106, 519, 5748, 540, 2413, 7350, 281, 1591, 3069, 267, 12105, 3069, 267, 519, 5444, 3069, 543, 519, 6240, 540, 27921, 269, 1452, 2185, 3741, 616, 1271, 547, 1142, 543, 1169, 2361, 540, 7350, 563, 1432, 616, 519, 476, 279, 4798, 540, 7350, 888, 24404, 916, 538, 713, 1305, 630, 279, 264, 28053, 983, 640, 269, 782, 2713, 7103, 616, 1500, 540, 2281, 269, 2560, 3115, 3174, 269, 782, 2713, 1814, 1562, 798, 621, 269, 1107, 2560, 5450, 29440, 269, 782, 2713, 1919, 991, 1648, 547, 1332, 267, 1847, 543, 1184, 269, 2560, 5851, 23980, 269, 782, 2713, 1814, 1562, 1590, 2661, 538, 7123, 267, 4835, 2175, 269, 630, 2560, 670, 1229, 640, 269, 2560, 12472, 269, 2560, 22320, 543, 3763, 269, 2560, 3955, 323, 11163, 563, 1432, 568, 27921, 1611, 888, 12709, 23980, 568, 1022, 1582, 15696, 6819, 1184, 676, 799, 606, 11248, 11148, 547, 2226, 6617, 1247, 14577, 547, 2175, 602, 616, 1655, 585, 922, 6668, 269, 2560, 634, 968, 560, 1464, 892, 602, 519, 11248, 10301, 568, 10355, 1472, 606, 3169, 1448, 630, 7945, 607, 519, 4998, 1242, 1480, 1560, 2837, 540, 476, 4391, 11019, 290, 1496, 7176, 269, 277, 11019, 293, 316, 1916, 1692, 798, 7103, 3132, 15556, 899, 2933, 888, 288, 25757, 12093, 7472, 15556, 602, 616, 16220, 9838, 547, 519, 2385, 267, 6466, 4638, 12093, 7472, 513, 2147, 267, 855, 16220, 2189, 15556, 269, 769, 4638, 12093, 267, 32450, 7472, 688, 30666, 13708, 26347, 602, 25146, 1282, 22289, 547, 3132, 513, 9733, 1355, 1990, 17789, 1774, 630, 8201, 2630, 1916, 1432, 616, 519, 476, 274, 4798, 540, 7350, 2491, 543, 2285, 606, 1383, 888, 763, 1614, 2101, 4798, 538, 519, 1353, 540, 7350, 616, 4763, 267, 22524, 11163, 267, 543, 4720, 269, 16844, 4145, 519, 8343, 543, 8760, 540, 519, 1082, 1114, 2249, 540, 2713, 1919, 593, 3047, 563, 1432, 568, 519, 2495, 540, 7350, 888, 763, 2262, 7350, 568, 6508, 689, 519, 19967, 1913, 1315, 321, 3930, 270, 2495, 1315, 5158, 270, 543, 1315, 8421, 657, 270, 2495, 1315, 13231, 344, 270, 543, 568, 3989, 607, 519, 2257, 540, 1272, 543, 2713, 7103, 269, 1323, 11248, 568, 513, 2713, 11769, 9967, 540, 835, 1591, 552, 3052, 269, 4551, 267, 610, 1896, 2281, 552, 3052, 269, 2831, 267, 2371, 543, 13271, 563, 1432, 616, 519, 476, 276, 3601, 540, 1272, 888, 5472, 2713, 7103, 2671, 1896, 1883, 4162, 610, 3252, 281, 1931, 267, 8417, 610, 3210, 547, 519, 1604, 267, 12093, 267, 2208, 543, 1646, 267, 7939, 267, 27921, 267, 543, 1648, 4393, 563, 1432, 616, 519, 476, 1015, 796, 4328, 4798, 540, 1272, 888, 272, 269, 274, 14210, 4798, 796, 1518, 519, 1353, 540, 1272, 11065, 8344, 7010, 5861, 32698, 5178, 529, 540, 5020, 12171, 768, 543, 9577, 10611, 788, 3174, 543, 769, 615, 13330, 269, 11328, 9146, 609, 519, 5113, 269, 21328, 543, 5020, 269, 8802, 1637, 21457, 3688, 7498, 1432, 616, 519, 476, 274, 2101, 8371, 540, 7350, 888, 2467, 616, 1614, 2101, 8371, 540, 7350, 1107, 7762, 1415, 267, 18186, 1108, 543, 8762, 5735, 269, 15636, 1415, 568, 519, 7936, 540, 7350, 799, 9388, 609, 519, 1353, 540, 1114, 3344, 540, 2371, 269, 0, 268, 6496, 9399, 291, 2333, 674, 4916, 888, 268, 1772, 476, 6344, 535, 1186, 1434, 585, 11080, 888, 268, 4208, 568, 28149, 674, 4916, 865, 1970, 888, 268, 6904, 568, 1732, 2362, 535, 1186, 610, 2539, 888, 268, 1772, 4420, 331, 2940, 1188, 3983, 585, 7193, 888, 268, 2052, 17765, 1860, 674, 4916, 888, 268, 2052, 20433, 2333, 674, 4916, 888, 268, 1772, 476, 3953, 326, 321, 20433, 936, 26973, 888, 268, 1548, 568, 519, 1655, 20433, 585, 11080, 888, 268, 1548, 786, 2333, 1250, 674, 4916, 888, 268, 6496, 18074, 291, 1860, 3014, 2773, 888, 268, 1548, 5540, 674, 4916, 519, 1034, 888, 268, 9701, 594, 4688, 1250, 3756, 593, 9399, 291, 610, 18074, 291, 888, 268, 1772, 476, 279, 326, 321, 20433, 2614, 585, 11080, 888, 268, 1215, 2462, 786, 27666, 276, 9399, 291, 581, 888, 268, 1772, 476, 13301, 271, 631, 327, 345, 20433, 1434, 888, 268, 1772, 17765, 610, 29453, 811, 1271, 585, 674, 4916, 888, 9989, 9399, 291, 2333, 674, 4916, 888, 2304, 9399, 291, 786, 711, 2087, 674, 4916, 2047, 563, 2005, 786, 267, 2705, 267, 2569, 4452, 2053, 267, 607, 1134, 607, 588, 32211, 1247, 1919, 4452, 538, 3766, 877, 563, 2252, 707, 674, 4916, 568, 7683, 1970, 267, 606, 9399, 291, 786, 711, 948, 563, 21156, 267, 621, 779, 811, 2693, 602, 513, 1732, 17765, 610, 29453, 786, 948, 10756, 3674, 476, 6344, 535, 1186, 1434, 585, 11080, 888, 6344, 674, 4916, 1107, 634, 2186, 540, 9808, 1067, 622, 602, 666, 1152, 581, 10268, 593, 21697, 609, 476, 6344, 268, 13679, 21636, 29295, 3928, 269, 15394, 267, 621, 3217, 513, 3532, 1164, 15134, 11080, 7193, 338, 547, 2196, 14053, 3756, 609, 713, 2186, 540, 2773, 1510, 1022, 5468, 12772, 563, 3963, 568, 28149, 674, 4916, 865, 1970, 888, 20663, 4393, 630, 869, 9808, 1067, 622, 2567, 1879, 4730, 28149, 267, 2046, 674, 274, 547, 2070, 1344, 827, 519, 3014, 269, 6733, 693, 519, 1283, 4737, 543, 12398, 519, 674, 4916, 269, 1403, 713, 1297, 568, 2539, 982, 476, 1789, 267, 519, 3014, 949, 581, 4881, 1932, 7444, 1813, 547, 707, 3301, 12122, 610, 13385, 21370, 543, 2780, 4393, 8800, 563, 7617, 568, 1732, 2362, 535, 1186, 610, 2539, 888, 763, 2362, 519, 7406, 2557, 267, 519, 1732, 2298, 596, 786, 1205, 538, 3381, 543, 14318, 269, 10632, 3592, 2141, 2196, 1732, 1210, 513, 29453, 630, 20877, 923, 14409, 5149, 264, 543, 4159, 5827, 540, 1164, 7406, 3928, 3436, 476, 1789, 535, 1186, 269, 2560, 1280, 1383, 267, 606, 744, 29612, 4159, 609, 476, 2568, 1700, 6344, 535, 1186, 568, 1454, 1732, 982, 606, 700, 7374, 4159, 693, 476, 2190, 1700, 1789, 535, 1186, 563, 3674, 4420, 331, 2940, 1188, 3983, 585, 7193, 888, 8601, 17765, 4420, 6352, 1815, 802, 1373, 513, 3983, 3364, 950, 621, 2501, 547, 11080, 267, 513, 29453, 4420, 331, 2940, 1188, 568, 2965, 14909, 269, 26243, 1018, 713, 1797, 568, 602, 707, 17765, 568, 4393, 782, 540, 519, 3014, 543, 7406, 1239, 5488, 982, 707, 29453, 666, 11904, 621, 799, 2164, 538, 476, 1911, 260, 13345, 540, 707, 29453, 563, 4692, 17765, 1860, 674, 4916, 888, 9573, 5825, 1684, 18748, 717, 5446, 13437, 267, 2991 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2582, 1034, 1455, 5821, 540, 1053, 538, 1603, 1382, 4574, 568, 547, 3765, 704, 576, 633, 1018, 568, 4397, 538, 513, 2298, 1382, 1957, 269, 2533, 269, 30569, 513, 2488, 269, 2804, 12851, 547, 519, 1826, 540, 9443, 602, 616, 1759, 593, 13907, 543, 13907, 540, 1239, 267, 12819, 1557, 1603, 12987, 7194, 543, 9273, 269, 875, 547, 2328, 606, 9297, 1382, 1957, 621, 568, 9247, 2930, 267, 543, 519, 3119, 3804, 568, 875, 547, 2328, 513, 7998, 7493, 547, 3035, 9355, 269, 1072, 1382, 1957, 3584, 585, 875, 547, 2328, 606, 9297, 1382, 1957, 3312, 1603, 519, 2564, 2361, 568, 513, 3309, 9015, 8720, 3875, 5396, 538, 5238, 540, 2362, 1565, 269, 513, 1382, 1957, 568, 513, 4062, 540, 4081, 1603, 602, 2488, 2079, 267, 7664, 267, 543, 875, 547, 2328, 606, 9297, 1382, 1957, 4661, 1759, 593, 538, 3829, 4830, 1382, 1382, 4574, 616, 2147, 547, 4081, 3594, 267, 855, 789, 616, 2356, 3476, 543, 811, 2143, 10467, 267, 2966, 547, 2708, 711, 1152, 707, 1603, 1983, 855, 849, 707, 3381, 1870, 1544, 1983, 538, 14046, 1382, 269, 1382, 4574, 616, 835, 540, 519, 991, 948, 609, 1957, 1292, 2164, 540, 11001, 781, 4238, 543, 12220, 31677, 1292, 3483, 540, 971, 2324, 4574, 568, 547, 1118, 519, 960, 540, 519, 2278, 2139, 547, 824, 2328, 345, 25022, 1129, 909, 2640, 540, 4155, 17167, 338, 1557, 3173, 543, 547, 2697, 519, 10862, 538, 519, 6074, 2361, 540, 1382, 1603, 606, 9297, 1957, 568, 1945, 596, 786, 5555, 3068, 950, 2921, 513, 8804, 875, 547, 2328, 606, 9297, 1382, 1957, 610, 9297, 1362, 269, 4183, 4930, 875, 547, 1205, 606, 2376, 3370, 538, 606, 9297, 4760, 281, 2360, 540, 875, 547, 2328, 606, 9297, 1382, 1957, 5647, 543, 2229, 3609, 593, 2518, 4346, 269, 519, 1101, 2985, 540, 513, 1863, 1557, 4609, 1382, 1957, 610, 5098, 568, 519, 2140, 1966, 6061, 5473, 1840, 2985, 267, 543, 6799, 519, 2140, 267, 4266, 267, 707, 2012, 267, 519, 1576, 585, 799, 519, 1957, 568, 2854, 267, 543, 519, 14357, 779, 2012, 1603, 9297, 1382, 4574, 269, 547, 25666, 519, 2409, 602, 12819, 1557, 4367, 3932, 1450, 547, 3589, 2804, 3157, 2804, 3744, 991, 875, 547, 2328, 606, 9297, 1382, 1957, 1296, 540, 8343, 543, 2079, 875, 547, 2328, 606, 2500, 1382, 1265, 5830, 2228, 11556, 585, 2362, 4110, 4010, 1018, 513, 1382, 11556, 568, 543, 875, 621, 1058, 581, 2854, 269, 3370, 593, 12354, 3426, 476, 1789, 267, 476, 1708, 271, 676, 13544, 1309, 5285, 1752, 269, 6280, 10467, 616, 2123, 2239, 1557, 1806, 585, 12621, 513, 2462, 16664, 5339, 2079, 1557, 4161, 267, 1870, 543, 9297, 1867, 1603, 282, 2069, 269, 972, 616, 849, 1082, 4277, 6810, 593, 6683, 267, 2872, 543, 269, 875, 547, 2328, 513, 476, 274, 5037, 1557, 7291, 269, 0, 306, 12944, 2904, 476, 3066, 267, 476, 1708, 272, 454, 20486, 1107, 30277, 717, 5448, 320, 912, 2304, 4013, 1867, 5423, 676, 519, 12080, 540, 2657, 7000, 3877, 540, 519, 3109, 17343, 2068, 538, 5527, 267, 1519, 1018, 568, 1644, 547, 519, 4214, 540, 519, 2068, 267, 2959, 540, 3968, 267, 5868, 267, 543, 2126, 2409, 563, 763, 1867, 267, 5423, 676, 519, 12080, 779, 25124, 6513, 4972, 267, 543, 5833, 676, 16549, 3863, 344, 267, 3989, 3109, 17343, 607, 513, 16507, 2068, 602, 5540, 3425, 607, 513, 2427, 1198, 540, 519, 21324, 540, 519, 4761, 1062, 267, 855, 621, 568, 4686, 543, 2356, 5540, 519, 29935, 17011, 16298, 519, 5609, 4926, 267, 4064, 267, 9224, 267, 5023, 267, 4522, 610, 11132, 7633, 563, 763, 13271, 949, 849, 8831, 547, 519, 9641, 267, 9667, 1062, 267, 610, 1256, 1973, 8043, 269, 898, 666, 849, 2049, 593, 519, 2960, 950, 513, 2759, 267, 6633, 267, 610, 824, 5945, 4386, 547, 519, 2960, 563, 763, 1826, 602, 5540, 519, 17725, 11940, 6242, 3788, 543, 949, 8831, 547, 519, 2634, 267, 543, 519, 1826, 602, 5540, 519, 5761, 568, 519, 1034, 1455, 1826, 563, 8448, 1447, 1455, 2010, 616, 2759, 10389, 543, 16063, 5563, 563, 2026, 585, 519, 13271, 602, 2014, 519, 2068, 267, 789, 616, 930, 2010, 540, 13271, 10362, 547, 519, 1920, 540, 28633, 267, 799, 2661, 538, 5848, 5054, 971, 607, 3037, 610, 10920, 19397, 5214, 2339, 971, 607, 3762, 267, 18168, 267, 610, 3574, 267, 543, 891, 13271, 616, 1572, 29935, 13271, 563, 763, 1867, 5018, 519, 2959, 540, 3968, 267, 799, 616, 3002, 15033, 13271, 267, 799, 616, 1336, 538, 519, 1604, 267, 543, 2090, 5342, 676, 2921, 2825, 5439, 5815, 602, 891, 13271, 616, 4122, 1336, 538, 519, 3037, 267, 855, 10355, 538, 2011, 5439, 602, 616, 7318, 585, 519, 4527, 540, 16507, 24032, 563, 300, 3941, 540, 6771, 2049, 998, 32480, 267, 3346, 267, 543, 28453, 563, 2026, 585, 1004, 6534, 547, 3109, 17343, 267, 789, 616, 912, 1700, 14904, 609, 29252, 3987, 945, 616, 4299, 676, 922, 4049, 8374, 267, 2523, 15847, 635, 320, 10483, 676, 23639, 540, 519, 1973, 563, 1700, 14904, 609, 3735, 22533, 2860, 454, 1700, 15978, 2550, 454, 30535, 945, 723, 4607, 1418, 610, 6565, 1591, 24328, 563, 5353, 3164, 6749, 538, 3043, 1973, 1591, 1293, 454, 2750, 947, 633, 946, 540, 29416, 8803, 6950, 585, 1279, 5712, 540, 942, 454, 1700, 769, 915, 539, 3075, 13982, 338, 454, 289, 5281, 267, 23361, 543, 16398, 454, 7093, 332, 1155, 543, 896, 7076, 29507, 454, 763, 1867, 8612, 602, 519, 6771, 540, 3968, 1369, 519, 1072, 9744, 4386, 998, 32480, 540, 13271, 689, 519, 18519, 543, 11515, 534, 1604, 3330, 519, 1072, 9744, 267, 998, 519, 11865, 540, 2564, 2533, 1644, 547, 1072, 1416, 971, 607, 968, 1492, 946, 540, 1875, 268, 3122, 850, 1216, 16041, 609, 13271, 1282, 5135, 7886, 267, 519, 5821, 547, 2226, 2011, 2783, 619, 543, 12086, 267, 543, 519, 946, 540, 2564, 3457, 1848, 3502, 10322, 28895, 3034, 23086, 6771, 540, 519, 3109, 17343, 849, 4386, 998, 519, 5916, 946, 540, 29147, 6512, 1137, 543, 11308, 11469, 1244, 816, 832, 1510, 1210, 4550, 9762, 8727, 2409, 267, 6413, 11647, 267, 22247, 7829, 540, 7252, 13572, 609, 7452, 543, 13897, 267, 543, 1287, 3346, 609, 6534, 2550, 563, 9558, 3939, 676, 28453, 540, 11763, 13271, 666, 849, 2049, 563, 763, 1867, 15091, 602, 3109, 17343, 568, 513, 1875, 9762, 698, 1190, 2068, 543, 568, 711, 10299, 689, 835, 1268, 547, 1776, 610, 1063, 3425, 543, 2831, 563, 21618, 267, 4470, 593, 1141, 519, 17343, 9428, 267, 1331, 8611, 267, 11522, 267, 9221, 1928, 267, 26032, 540, 7362, 267, 11926, 593, 519, 2427, 540, 519, 3068, 267, 15677, 267, 18980, 20316, 267, 14159, 1928, 267, 13481, 267, 15353, 267, 16063, 11702, 267, 1973, 538, 519, 22454, 267, 13165, 267, 543, 949, 2368, 8374, 971, 607, 21901, 267, 18116, 267, 8229, 3441, 267, 543, 2530, 540, 9637, 2049, 563, 763, 1867, 8612, 602, 952, 519, 2068, 568, 711, 6417, 267, 543, 2126, 568, 711, 3323, 2038, 267, 621, 666, 2014, 513, 2669, 2557, 540, 476, 736, 547, 476, 2004, 2600, 585, 1004, 609, 4049, 2589, 267, 4470, 593, 519, 1826, 540, 17343, 602, 3123, 519, 2068, 543, 519, 851, 540, 519, 1560, 4299, 563, 763, 2068, 666, 581, 5701, 609, 30624, 25193, 6527, 896, 2564, 15569, 267, 543, 519, 2126, 1974, 16569, 689, 476, 275, 547, 476, 277, 4374, 267, 543, 3006, 922, 2126, 949, 2154, 6391, 547, 4894, 4666, 610, 7783, 5160, 267, 971, 607, 9427, 519, 4064, 610, 5580, 10265, 547, 3247, 519, 3262, 540, 3968, 269, 0, 272, 269, 277, 634, 25587, 12866, 454, 24993, 281, 7325, 476, 1321, 454, 312, 8104, 288, 590, 7473, 305, 3008, 5508, 623, 2969, 3198, 297, 3201, 296, 1923, 32516, 476, 272, 910, 590, 4456, 4696, 26980, 623, 4696, 288, 1923, 966, 8991, 292, 476, 277, 1923, 25265, 7728, 14473, 454, 2633, 359, 31073, 28440, 14098, 352, 2633, 369, 18028, 359, 18892, 11695, 363, 2633, 363, 2633, 369, 18028, 499, 2633, 366, 11695, 359, 23547, 18028, 355, 31073, 14098, 372, 11695, 362, 5936, 481, 23371, 11695, 363, 2633, 481, 476, 5936, 354, 5936, 356, 269, 5936, 361, 476, 5936, 354, 454, 763, 2947, 6688, 540, 519, 1110, 2827, 540, 519, 2247, 616, 1107, 5345, 1211, 267, 8210, 337, 821, 748, 267, 674, 4545, 3814, 267, 12619, 543, 3816, 514, 4593, 775, 563, 21995, 1480, 6530, 3081, 602, 1169, 2680, 602, 568, 9228, 676, 513, 1480, 1373, 568, 1759, 593, 930, 2188, 1813, 547, 799, 519, 1480, 14543, 547, 1294, 519, 2680, 607, 621, 568, 269, 634, 1533, 540, 519, 2247, 540, 519, 1268, 568, 835, 540, 519, 3119, 2188, 5941, 269, 1280, 1383, 267, 513, 2462, 13037, 538, 606, 16678, 2244, 609, 1434, 2575, 267, 10731, 1426, 543, 4235, 267, 543, 7874, 1004, 666, 849, 581, 4330, 607, 968, 333, 976, 839, 673, 2245, 538, 513, 9490, 4914, 2244, 799, 3947, 606, 28195, 547, 1711, 6846, 5533, 267, 3653, 1426, 543, 4235, 267, 543, 9240, 701, 1004, 6100, 2290, 29278, 855, 1079, 4625, 6587, 5380, 269, 898, 568, 711, 602, 1079, 1004, 609, 20244, 6587, 14789, 4927, 3180, 713, 2070, 1107, 621, 568, 3833, 2009, 602, 513, 1268, 945, 3622, 21593, 513, 1434, 11812, 2833, 519, 2680, 538, 513, 13249, 6073, 1317, 646, 1175, 4607, 3377, 602, 513, 2673, 3448, 1163, 1600, 1247, 646, 729, 593, 16314, 269, 634, 2680, 1281, 711, 1689, 1107, 621, 568, 875, 649, 13498, 621, 602, 2306, 938, 1995, 543, 602, 1995, 5170, 547, 1860, 938, 2417, 3664, 602, 18867, 1860, 2104, 2833, 269, 6684, 267, 782, 938, 4555, 602, 8451, 7222, 547, 1169, 3510, 543, 2680, 538, 938, 1272, 616, 711, 10855, 540, 519, 2470, 540, 519, 2680, 855, 540, 519, 1533, 540, 519, 2247, 693, 519, 1880, 4090, 269, 9747, 267, 952, 649, 1831, 5432, 609, 713, 1184, 267, 7747, 621, 689, 513, 11397, 799, 786, 1397, 519, 3677, 4605, 267, 649, 666, 14867, 519, 2247, 540, 922, 2035, 543, 24221, 543, 1118, 4674, 547, 1294, 1142, 4090, 607, 621, 568, 267, 3927, 2713, 538, 519, 1459, 4090, 563, 1607, 521, 583, 571, 4408, 519, 2947, 6688, 896, 799, 26527, 31381, 4793, 534, 329, 8932, 11008, 3278, 782, 519, 966, 761, 26385, 540, 519, 9637, 269, 2353, 1702, 267, 4555, 267, 13821, 267, 10444, 11994, 543, 10444, 3527, 538, 1169, 7077, 540, 4656, 2887, 896, 891, 6688, 563, 303, 1090, 3570, 1107, 1797, 6169, 269, 3371, 621, 1797, 519, 1702, 602, 568, 6591, 676, 930, 2963, 563, 309, 760, 776, 11535, 1107, 1797, 4636, 1702, 1813, 547, 5470, 538, 27790, 270, 704, 4003, 269, 4495, 966, 760, 776, 11535, 546, 1177, 985, 267, 972, 568, 1100, 2230, 538, 519, 2247, 585, 623, 1090, 3570, 563, 309, 1731, 531, 11985, 1107, 1797, 535, 4545, 3814, 4555, 269, 2353, 943, 984, 5362, 267, 1554, 323, 3195, 338, 267, 32370, 267, 543, 26390, 5209, 2887, 896, 519, 7121, 540, 23819, 531, 11985, 563, 301, 573, 571, 1107, 1797, 3207, 269, 634, 962, 690, 545, 6138, 15109, 3207, 835, 540, 519, 1110, 2827, 540, 519, 2247, 602, 666, 581, 6417, 693, 786, 269, 12619, 568, 1175, 1776, 7077, 540, 4656, 1141, 1114, 22649, 267, 9909, 267, 17915, 616, 9228, 563, 10712, 761, 328, 1107, 1797, 15350, 269, 1234, 3712, 22162, 782, 519, 2621, 8854, 676, 267, 6158, 827, 945, 1767, 547, 7247, 267, 882, 1516, 1208, 8270, 725, 543, 18710, 267, 891, 568, 782, 2009, 1813, 547, 519, 12200, 540, 3965, 563, 6624, 1004, 949, 2097, 4464, 543, 25077, 602, 741, 1533, 540, 2247, 1281, 711, 2887, 896, 1022, 7121, 2016, 538, 519, 18639, 27659, 6652, 269, 898, 568, 711, 11327, 547, 17743, 593, 713, 1344, 269, 1548, 1590, 581, 6956, 1934, 602, 519, 2247, 28107, 538, 1114, 3029, 799, 1654, 559, 922, 3020, 2470, 543, 621, 568, 2009, 547, 16637, 891, 3270, 540, 519, 9637, 269, 9866, 6326, 519, 642, 761, 26385, 2337, 721, 547, 2097, 856, 540, 873, 267, 855, 1287, 2469, 883, 519, 14046, 2534, 540, 11008, 2358, 873, 543, 1287, 1586, 2469, 883, 519, 8520, 540, 9794, 906, 543, 3067, 2305, 9396, 1846, 519, 3483, 540, 713, 1702, 563, 763, 642, 761, 26385, 616, 6045, 538, 1469, 538, 519, 1739, 521, 583, 6652, 835, 8386, 14633, 269, 0, 303, 6372, 12900, 540, 519, 4639, 21303, 4672, 6656, 676, 1147, 2471, 540, 774, 11445, 2572, 543, 25882, 6816, 3794, 659, 4536, 883, 519, 25882, 6816, 7345, 1135, 2106, 5984, 540, 519, 2549, 1495, 11420, 7256, 729, 513, 1641 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 309, 8696, 553, 18610, 3026, 655, 27817, 910, 309, 324, 653, 320, 19129, 2967, 20976, 476, 1220, 326, 454, 301, 9851, 568, 513, 2067, 10786, 602, 2501, 689, 519, 683, 655, 3529, 267, 824, 4408, 585, 799, 1331, 10897, 611, 4275, 577, 3279, 2512, 320, 543, 4095, 561, 559, 659, 269, 3026, 655, 3762, 616, 5393, 15280, 543, 723, 513, 6371, 344, 6492, 543, 24710, 950, 14324, 269, 898, 814, 21734, 2360, 2500, 1996, 1896, 2010, 540, 4551, 267, 8290, 267, 543, 13271, 563, 1103, 519, 1158, 540, 25072, 3873, 2073, 683, 655, 568, 513, 2442, 16392, 10786, 602, 779, 1044, 851, 540, 2757, 14319, 602, 4266, 1394, 3592, 476, 4335, 271, 1296, 269, 4746, 1634, 607, 10897, 611, 4275, 577, 3279, 1473, 3821, 538, 2296, 610, 2048, 301, 9851, 9346, 685, 538, 16130, 267, 519, 683, 655, 3529, 568, 513, 2731, 1434, 1383, 540, 875, 2470, 12115, 2068, 269, 898, 779, 1753, 547, 811, 982, 476, 9873, 1114, 31127, 3742, 7135, 256, 3143, 4898, 621, 779, 971, 606, 2500, 4550, 8686, 12637, 543, 4550, 1532, 17424, 267, 2059, 609, 1373, 513, 3532, 6375, 334, 3613, 574, 592, 656, 563, 299, 1115, 2097, 519, 2640, 281, 1625, 1518, 519, 1973, 267, 2061, 3441, 3361, 676, 1863, 18119, 538, 519, 1560, 267, 4894, 13802, 267, 1521, 5521, 17486, 543, 21385, 269, 3026, 655, 3762, 723, 4550, 1532, 17424, 3601, 799, 568, 1946, 621, 1568, 13300, 593, 5563, 267, 17236, 543, 1022, 2186, 540, 2960, 2042, 269, 898, 30001, 519, 4551, 602, 3123, 5563, 267, 22262, 519, 4761, 1062, 543, 7512, 4028, 7067, 269, 1284, 2995, 596, 930, 2640, 540, 683, 655, 269, 0, 3963, 1284, 11146, 898, 454, 259, 11463, 267, 277, 3445, 22025, 1113, 2997, 326, 269, 6428, 776, 454, 272, 269, 273, 260, 297, 984, 12618, 15580, 454, 31995, 24637, 297, 984, 31326, 454, 24478, 2032, 10312, 539, 22512, 518, 5900, 25572, 454, 290, 10984, 545, 19296, 616, 7463, 8030, 602, 960, 609, 17375, 610, 22803, 2326, 899, 4837, 267, 15839, 610, 9160, 267, 602, 616, 9268, 693, 1164, 5210, 269, 1358, 1020, 1007, 17375, 2472, 607, 1134, 607, 1007, 2409, 585, 4393, 519, 2326, 563, 1432, 568, 513, 595, 10984, 545, 23910, 888, 763, 1739, 9021, 616, 1455, 585, 2043, 5083, 532, 595, 10984, 545, 7177, 912, 268, 18430, 338, 1382, 267, 6272, 12227, 543, 2645, 267, 10953, 4393, 2553, 543, 4255, 519, 3002, 4187, 540, 519, 2326, 563, 268, 8890, 8240, 1449, 2164, 547, 3313, 4222, 10659, 540, 1007, 2472, 543, 2326, 543, 2087, 2025, 2326, 454, 268, 1763, 792, 2583, 1114, 2409, 540, 7206, 267, 8108, 543, 20590, 519, 10036, 543, 17375, 2326, 454, 268, 5071, 338, 3937, 585, 519, 8108, 543, 20590, 540, 519, 17375, 2326, 454, 288, 4303, 769, 634, 5020, 454, 290, 10984, 545, 19296, 20647, 538, 519, 1374, 543, 1646, 540, 17375, 2326, 538, 4853, 543, 5010, 946, 563, 763, 2165, 23907, 11653, 568, 513, 1360, 3376, 2361, 269, 15316, 6080, 946, 23907, 267, 1519, 25185, 267, 11418, 267, 26313, 267, 7098, 517, 2246, 923, 6323, 543, 7998, 563, 5445, 1020, 1007, 17375, 2326, 689, 2326, 1336, 538, 519, 3047, 269, 2368, 8030, 786, 3986, 2390, 519, 2029, 540, 4540, 17375, 2326, 676, 5355, 3002, 543, 3595, 4187, 269, 3509, 8030, 616, 849, 3238, 538, 2504, 269, 1358, 1463, 519, 1184, 540, 519, 5214, 543, 22803, 2326, 1031, 547, 1118, 519, 23907, 269, 1358, 849, 1374, 543, 1020, 519, 4893, 985, 543, 824, 2645, 543, 3937, 1031, 585, 17375, 5663, 563, 23777, 673, 4518, 21480, 454, 5445, 960, 513, 476, 2412, 5662, 960, 3018, 6140, 538, 5604, 5468, 610, 20682, 563, 19061, 539, 16763, 12618, 454, 290, 10984, 545, 8030, 616, 2141, 2877, 538, 11418, 543, 24684, 269, 12618, 1058, 581, 2523, 4028, 585, 8030, 538, 519, 24519, 14482, 9592, 2361, 563, 7197, 595, 10984, 545, 19296, 616, 6964, 538, 519, 6149, 267, 4837, 610, 10036, 6080, 269, 2755, 1866, 960, 538, 6080, 602, 946, 23907, 899, 23825, 267, 4401, 267, 5374, 543, 3114, 6080, 269, 2368, 8030, 4001, 543, 798, 1382, 585, 519, 2229, 610, 9945, 563, 1692, 1677, 28161, 513, 595, 10984, 545, 23910, 454, 288, 20277, 779, 4110, 568, 2877, 547, 1831, 513, 17375, 11653, 269, 26643, 899, 267, 6323, 267, 4702, 267, 7998, 267, 7350, 543, 6128, 267, 786, 581, 2838, 547, 3489, 713, 4110, 269, 4518, 1995, 568, 9053, 676, 12820, 267, 972, 1721, 267, 1082, 2875, 2347, 22631, 4721, 1247, 13844, 741, 2069, 269, 1358, 849, 1590, 2347, 11173, 2069, 6030, 547, 2611, 14468, 2429, 741, 11678, 607, 1134, 563, 1607, 960, 3340, 513, 2620, 1620, 540, 519, 2326, 540, 519, 3047, 607, 1134, 607, 606, 1620, 540, 519, 2115, 543, 7687, 540, 519, 3156, 4294, 547, 1346, 2326, 563, 290, 10984, 545, 23910, 6428, 776, 4578, 454, 2171, 4076, 3177, 596, 519, 1739, 547, 1451, 811, 827, 713, 4876, 269, 634, 14057, 543, 2208, 1239, 593, 713, 2985, 2501, 689, 5063, 3370, 13163, 540, 8534, 10803, 1239, 1247, 519, 7840, 543, 21107, 1543, 616, 1759, 593, 938, 1382, 563, 13233, 1323, 783, 6428, 776, 454, 13233, 28914, 569, 654, 720, 454, 1692, 798, 595, 10984, 545, 23910, 23269, 10518, 909, 547, 824, 6009, 2066, 519, 2197, 286, 9122, 593, 519, 5767, 6009, 1239, 18487, 267, 595, 10984, 545, 23910, 781, 666, 1118, 606, 3328, 5993, 14057, 540, 1269, 11463, 267, 277, 3445, 267, 610, 1269, 5379, 829, 5662, 269, 2201, 519, 2539, 1439, 267, 789, 666, 1118, 1269, 7597, 267, 30019, 610, 1269, 3451, 829, 5662, 267, 5310, 950, 1175, 4358, 856, 610, 1759, 593, 519, 1533, 596, 2661, 538, 563, 21946, 776, 24419, 902, 1656, 12700, 454, 258, 3199, 13780, 958, 585, 2353, 5516, 619, 454, 6781, 913, 19105, 6428, 776, 13780, 958, 454, 3682, 31810, 543, 26440, 4181, 454, 2080, 616, 519, 1034, 1455, 5232, 585, 4742, 513, 595, 10984, 545, 23910, 269, 513, 568, 2356, 5227, 543, 4481, 513, 4110, 610, 17440, 602, 22316, 596, 585, 519, 1880, 2361, 267, 1294, 2630, 563, 295, 580, 4554, 4065, 7324, 595, 10984, 545, 19296, 454, 268, 476, 277, 269, 274, 260, 16362, 622, 454, 268, 476, 866, 269, 273, 260, 27587, 454, 268, 476, 4366, 269, 274, 260, 645, 659, 3559, 832, 454, 268, 476, 1015, 269, 275, 260, 4889, 919, 454, 268, 476, 1015, 269, 277, 260, 5441, 454, 268, 476, 276, 269, 272, 260, 4400, 3427, 454, 268, 476, 271, 260, 10815, 982, 4400, 3427, 454, 297, 984, 12618, 5741, 687, 543, 5983, 4751, 454, 1001, 275, 11192, 22868, 1839, 267, 4968, 454, 1708, 275, 6480, 269, 22868, 1839, 267, 7785, 454, 297, 984, 12618, 15580, 272, 269, 273, 14999, 15307, 269, 1715, 22868, 4968, 454, 1692, 1281, 595, 10984, 545, 23910, 2816, 2208, 10518, 909, 547, 824, 6009, 2066, 519, 2197, 286, 1635, 476, 1708, 275, 267, 972, 786, 581, 513, 1689, 540, 476, 4968, 6009, 585, 513, 2698, 540, 476, 1839, 267, 7785, 1004, 6964, 538, 519, 4876, 18487, 269, 901, 568, 513, 476, 272, 269, 273, 260, 1689, 538, 2208, 936, 519, 1985, 4557, 1296, 267, 4758, 519, 4876, 513, 2208, 2557, 18487, 540, 26361, 19105, 563, 294, 9512, 24419, 902, 1656, 12700, 454, 258, 6872, 274, 13780, 958, 585, 2353, 5516, 619, 454, 6781, 913, 2997, 326, 269, 12618, 13780, 958, 454, 1432, 14992, 14146, 634, 4107, 595, 10984, 545, 19296, 454, 347, 26581, 787, 1475, 14483, 22868, 1475, 6124, 22868, 10261, 539, 1475, 260, 21561, 2008, 24820, 518, 18209, 1587, 543, 2694, 5663, 1475, 274, 267, 6110, 1475, 1220, 1475, 271, 260, 2008, 347, 10932, 543, 1646, 538, 519, 2168, 267, 4702, 267, 543, 1272, 9443, 1475, 273, 267, 1822, 1475, 4968, 1475, 271, 260, 347, 0, 763, 4107, 1230, 2425, 1113, 8177, 2986, 2558, 7927, 8693, 24727, 654, 16556, 5384, 454, 2171, 3773, 513, 2603, 540, 3327, 8166, 547, 519, 5790, 1282, 519, 11686, 1296, 267, 855, 519, 7887, 2530, 729, 17528, 547, 1118, 4464, 3356, 267, 4966, 2161, 563, 2690, 5756, 267, 2916, 4966, 723, 19230, 602, 8488, 532, 2962, 547, 3970, 2518, 8337, 1131, 1118, 519, 1966, 811, 5906, 543, 9875, 547, 4194, 269, 1924, 875, 1454, 1764, 1705, 2185, 1296, 540, 8488, 896, 5518, 18496, 808, 269, 11686, 2965, 723, 888, 4002, 519, 2698, 2179, 540, 3063, 3327, 8166, 3773, 547, 519, 5790, 538, 519, 2250, 1906, 1296, 267, 19599, 2370, 267, 3081, 2274, 1695, 853, 10280, 267, 513, 2916, 3609, 4274, 693, 519, 2160, 540, 4993, 267, 13244, 22526, 269, 1809, 519, 8273, 1942, 729, 547, 3500, 1524, 3356, 602, 729, 1373, 1500, 269, 8693, 543, 2804, 3790, 540, 2870, 513, 2104, 609, 7864, 8093, 10173, 616, 2810, 14869, 569, 1142, 1032, 267, 865, 606, 3063, 2185, 1296, 593, 3180, 267, 693, 2547, 538, 519, 2136, 2276, 267, 12662, 1256, 811, 2604, 593, 2104, 3401, 563, 21132, 711, 1175, 602, 649, 557, 1044, 3001, 538, 519, 4636, 4287, 267, 855, 849, 649, 688, 1203, 1044, 3001, 538, 519, 1318, 4287, 267, 853, 10280, 3081, 563, 1692, 4892, 7348, 634, 8177, 2986, 8693, 7827, 3493, 1742, 2201, 7316, 1358, 14970, 454, 7197, 4892, 2221, 2161, 602, 2916, 1689, 568, 7133, 741, 2199, 2146, 2901, 513, 1390, 4308, 610, 930, 269, 2334, 4137, 3788, 9425, 11931, 689, 2063, 1032, 267, 950, 476, 6795, 260, 4080, 693, 2547, 930, 2199, 2360, 540, 2916, 1689, 563, 763, 5318, 5354, 540, 713, 1895, 3081, 1279, 5712, 540, 29099, 3905, 4365, 2099, 513, 2101, 2199, 1764, 540, 2916, 1689, 269, 1358, 849, 2161, 2101, 2360, 1331, 4049, 4365, 971, 607, 17160, 543, 7920, 15420, 2073, 2800, 547, 3662, 7320, 543, 741, 9249, 2073, 3441, 547, 7733, 543, 2030, 1272, 610, 26221, 543, 1216, 22520, 1547, 2859, 7928, 23967, 543, 8375, 4262, 2157, 602, 2144, 1712, 17822, 543, 13272, 6050, 849, 616, 11855, 676, 3160, 21159, 607, 2101, 5222, 547, 741, 2199, 2950, 563, 763, 4110, 547, 799, 4892, 1867, 7680, 2360, 540, 2916, 1689, 538, 741, 2199, 2146, 9775, 676, 13664, 3148, 269, 4892, 538, 7414, 2829, 616, 1034, 2693, 547, 1294, 693, 2547, 930, 2199, 5222, 540, 2916, 1689, 1547, 1635, 6476, 267, 476, 7918, 260, 540, 1346, 2713, 538, 13738, 2829, 2161, 2916, 1689, 568, 7133, 741, 2199, 1858, 693, 2547, 930, 563, 29209, 8843, 540, 4892, 18487, 945, 1867, 693, 2547, 930, 2199, 1764, 540, 2916, 1689, 13712, 1279, 5712, 540, 29099, 3905, 4365, 607, 9648, 1141, 789, 2661, 269, 4033, 2101, 2360, 540, 2916, 1689, 267, 2705, 267, 4043, 547, 4268, 676, 3148, 563, 288, 851, 16388, 7828, 849, 4249, 513, 1909, 538, 891, 11994, 269, 24273, 543, 14891, 10709, 619, 616, 811, 2693, 982, 25743, 547, 1867, 693, 2547, 930, 2360, 540, 2916, 1689, 593, 741, 2199, 2950, 269, 272, 454, 8072, 527, 3580, 7827, 7982, 685, 281, 11686, 590, 904, 8693, 7827, 3502, 589, 14208, 1314, 1809, 9324, 625, 7831, 532, 8177, 454, 20458, 3744, 723, 2797, 989, 31789, 267, 2475, 7022, 3081, 538, 5967, 609, 476, 2568, 3687, 2373, 454, 291, 10735, 11686, 814, 556, 3438, 730, 1010, 22027, 827, 2916, 1689, 267, 11021, 602, 519, 2916, 1223, 1689, 1394, 1586, 267, 543, 602, 2916, 3744, 616, 20833, 12592, 563, 763, 2475, 7022, 814, 1279, 20402, 812, 13402, 2518, 8337, 269, 769, 606, 5967, 609, 595, 7034, 10872, 476, 2568, 3687, 2373, 602, 513, 1600, 10732, 3781, 267, 646, 1767, 602, 646, 1100, 3476, 11099, 2916, 1689, 568, 513, 11876, 1314, 267, 607, 646, 17408, 9643, 538, 476, 1001, 273, 563, 296, 1589, 1474, 996, 902, 8345, 269, 24622, 996, 902, 4657, 543, 621, 961, 1689, 1394, 1586, 267, 646, 1767, 269, 594, 21645, 1589, 922, 513, 11876, 1314, 269, 594, 1589, 519, 637, 4440, 513, 3017, 269, 1809, 594, 21645, 917, 602, 922, 812, 18478, 269, 594, 786, 2161, 713, 281, 594, 21645, 1616, 547, 2285, 959, 650, 687, 543, 959, 650, 687, 540, 9489, 269, 594, 21645, 1616, 547, 6336, 6634, 543, 6634, 540, 6009, 563, 763, 6519, 5600, 814, 5892, 17379, 547, 12172, 2558, 7927, 2990, 269, 1261, 17408, 9643, 538, 476, 1001, 278, 1282, 513, 4411, 26882, 602, 5310, 649, 1223, 946, 513, 2370, 3787, 540, 602, 1434, 2025, 6820, 654, 9879, 563, 1103, 519, 5101, 267, 621, 1223, 581, 519, 2910, 17162, 12239, 1715, 13012, 18832, 593, 2594, 269, 12344, 649, 1223, 946, 513, 2370, 3787, 540, 602, 1434, 2025, 6820, 654, 9879, 602, 938, 13474, 267, 855, 711, 824, 2477, 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 ]
[ 846, 332, 924, 2914, 1177, 7431, 16504, 25943, 888, 1691, 1053, 7390, 962, 846, 332, 924, 2914, 1177, 7431, 16504, 25943, 563, 1432, 568, 519, 7292, 5888, 540, 519, 2875, 1560, 888, 7761, 260, 540, 962, 846, 332, 924, 2914, 1177, 7431, 16504, 25943, 1053, 616, 6519, 267, 476, 2641, 260, 540, 1053, 616, 5565, 610, 811, 14797, 267, 543, 476, 278, 260, 540, 1053, 616, 17104, 563, 1432, 568, 519, 2875, 281, 974, 12329, 5223, 540, 962, 846, 332, 924, 2914, 1177, 7431, 16504, 25943, 888, 312, 846, 332, 924, 2914, 1177, 7431, 16504, 25943, 814, 513, 2875, 32311, 540, 476, 1691, 281, 272, 267, 799, 568, 2539, 982, 519, 4993, 1533, 3328, 540, 476, 2641, 281, 272, 563, 1432, 9344, 1281, 962, 846, 332, 924, 2914, 1177, 7431, 16504, 25943, 2709, 15017, 312, 846, 332, 924, 2914, 1177, 7431, 16504, 25943, 3091, 27350, 538, 9344, 15206, 268, 277, 454, 1432, 1153, 8664, 568, 962, 846, 332, 924, 2914, 1177, 7431, 16504, 25943, 851, 540, 888, 312, 846, 332, 924, 2914, 1177, 7431, 16504, 25943, 568, 851, 540, 962, 846, 332, 924, 8862, 1177, 7431, 16504, 25943, 3427, 10588, 563, 18800, 962, 846, 332, 924, 2914, 1177, 7431, 16504, 25943, 269, 17352, 1058, 581, 513, 1906, 5220, 538, 3259, 269, 7490, 1331, 1022, 8292, 593, 912, 268, 10866, 540, 4081, 3292, 267, 3610, 267, 543, 6703, 454, 268, 2997, 22355, 540, 2575, 267, 1148, 267, 5026, 543, 824, 29599, 2238, 454, 20288, 793, 5678, 5530, 2806, 5802, 454, 2171, 4312, 2322, 1927, 713, 4199, 3391, 547, 948, 1053, 267, 4079, 543, 4648, 1205, 519, 1344, 789, 2154, 547, 3442, 513, 1434, 10278, 547, 1353, 1893, 13383, 563, 290, 3591, 543, 5753, 281, 4208, 17318, 12079, 619, 616, 13749, 539, 693, 16504, 12140, 454, 9596, 827, 519, 3395, 7678, 540, 6728, 532, 7128, 10492, 693, 10026, 3506, 543, 519, 2640, 540, 9591, 513, 3656, 1604, 593, 13464, 693, 513, 1762, 2085, 563, 4462, 6674, 519, 1379, 540, 10572, 1242, 4065, 15789, 630, 296, 7968, 338, 264, 538, 713, 3102, 3391, 269, 13028, 875, 594, 7968, 338, 1489, 1053, 609, 3309, 2115, 267, 1519, 8965, 2591, 269, 901, 2376, 568, 513, 1590, 22345, 585, 3237, 10188, 519, 2069, 1062, 543, 14971, 3610, 5275, 547, 1118, 513, 2318, 1764, 269, 0, 4910, 1545, 585, 11334, 267, 20157, 12579, 267, 543, 14268, 454, 8340, 7734, 543, 8249, 454, 26835, 538, 519, 5700, 454, 4131, 779, 13185, 281, 589, 6651, 547, 570, 965, 22062, 725, 454, 12749, 923, 899, 891, 666, 581, 4101, 610, 1256, 13943, 547, 1865, 609, 3988, 269, 7046, 3515, 540, 2792, 609, 519, 948, 540, 519, 5708, 543, 15923, 2835, 3769, 538, 713, 2156, 577, 675, 563, 5278, 1053, 786, 2697, 609, 519, 2833, 543, 1344, 8659, 538, 891, 2835, 282, 1866, 786, 2744, 6568, 543, 1620, 563, 305, 24655, 5600, 5753, 779, 7734, 11354, 476, 1708, 275, 2776, 1613, 454, 9349, 540, 519, 13600, 454, 1692, 519, 6182, 514, 577, 23452, 8285, 454, 301, 11246, 962, 3036, 298, 29376, 2464, 645, 2464, 4811, 21822, 2207, 3040, 634, 6182, 514, 577, 568, 645, 19272, 543, 4712, 547, 6961, 547, 519, 7264, 540, 5808, 268, 6807, 602, 646, 781, 4957, 269, 901, 2295, 342, 9879, 3524, 601, 568, 2854, 543, 11609, 538, 519, 2511, 540, 3220, 269, 1530, 1380, 781, 11537, 9702, 5929, 1215, 519, 6182, 514, 577, 853, 1961, 8285, 2336, 763, 6182, 514, 577, 1185, 1044, 3461, 569, 7996, 782, 1032, 2676, 2414, 8661, 8285, 543, 3142, 519, 1733, 657, 17869, 2676, 4517, 547, 1397, 2479, 1862, 0, 288, 13169, 568, 513, 1184, 540, 26084, 26065, 998, 513, 4351, 5542, 269, 898, 949, 581, 607, 2241, 607, 5373, 513, 1297, 689, 513, 11058, 547, 3313, 513, 16771, 267, 610, 607, 1950, 607, 513, 4351, 7084, 540, 16488, 547, 2665, 269, 769, 782, 2665, 267, 1498, 267, 513, 13169, 3322, 930, 3693, 540, 4960, 563, 299, 582, 23065, 616, 2442, 1317, 789, 1683, 606, 4316, 547, 3094, 2724, 1510, 2348, 547, 7118, 621, 269, 769, 1249, 267, 1256, 950, 10888, 519, 13544, 13607, 568, 513, 1279, 8929, 267, 1004, 786, 1869, 4444, 17914, 269, 634, 2856, 568, 602, 519, 16101, 2724, 786, 2285, 873, 519, 1797, 547, 1205, 856, 540, 513, 2883, 25888, 267, 610, 693, 2547, 2569, 519, 11411, 540, 9204, 610, 7963, 593, 741, 3885, 563, 2690, 519, 1034, 851, 267, 13169, 23131, 616, 1031, 547, 2508, 1857, 3785, 269, 1358, 616, 1419, 15469, 607, 513, 1259, 547, 2628, 585, 513, 2647, 2039, 540, 2229, 2533, 269, 1809, 13915, 723, 11329, 856, 602, 972, 616, 1732, 2081, 547, 6318, 2877, 8907, 269, 1452, 1331, 4227, 7836, 610, 9870, 9204, 267, 1312, 540, 799, 1131, 581, 10002, 641, 983, 609, 519, 2489, 1857, 563, 1103, 519, 562, 31106, 1606, 4869, 625, 267, 1533, 6608, 1336, 2933, 10010, 547, 1832, 909, 609, 10637, 543, 519, 1942, 540, 4881, 513, 1514, 3106, 2121, 269, 1358, 3459, 547, 3343, 4244, 2959, 540, 8907, 267, 543, 519, 2413, 13169, 7153, 269, 898, 16204, 836, 909, 538, 17368, 14665, 2829, 609, 3677, 1514, 3106, 24437, 267, 855, 3533, 3262, 2066, 519, 2197, 269, 1635, 519, 3735, 2389, 342, 12351, 2540, 267, 13169, 19614, 941, 3395, 3728, 543, 941, 513, 1713, 6871, 540, 1082, 1533, 23348, 563, 763, 13169, 267, 538, 2110, 267, 2968, 519, 9949, 2707, 540, 7482, 585, 1346, 2829, 602, 4941, 547, 2057, 9870, 9204, 610, 5969, 1857, 2533, 269, 634, 1062, 5249, 1134, 2614, 1282, 519, 2022, 28131, 2782, 4083, 22820, 1296, 267, 855, 519, 865, 2130, 3790, 540, 10637, 543, 519, 10476, 2782, 1500, 621, 7543, 547, 3666, 519, 6578, 269, 1306, 513, 1267, 267, 513, 1390, 4308, 540, 3013, 779, 1514, 3106, 2121, 729, 2759, 1394, 543, 513, 2603, 540, 1004, 5433, 20729, 539, 676, 519, 2229, 563, 2414, 1118, 909, 585, 713, 2530, 267, 13169, 8387, 2799, 519, 2179, 540, 519, 1283, 16101, 543, 22485, 519, 12918, 269, 634, 2362, 519, 13544, 13607, 543, 519, 2539, 519, 12918, 267, 519, 811, 2724, 729, 6537, 689, 519, 7535, 269, 901, 729, 4831, 842, 30698, 269, 1306, 12138, 16803, 1185, 11130, 267, 1004, 941, 8348, 547, 1981, 513, 959, 604, 1782, 2040, 585, 519, 4960, 540, 9645, 2744, 563, 1103, 1840, 267, 21950, 1004, 4043, 547, 4444, 7864, 17914, 982, 25013, 1004, 798, 269, 634, 1267, 568, 602, 519, 13169, 779, 1764, 593, 519, 4346, 568, 7729, 14954, 281, 1004, 1818, 936, 15823, 8536, 9489, 829, 1032, 6108, 835, 2600, 540, 741, 4747, 593, 17914, 282, 1346, 1818, 1447, 982, 13977, 19317, 8536, 9489, 6108, 24369, 2600, 269, 634, 13169, 568, 3976, 513, 1106, 540, 6456, 3454, 593, 519, 4057, 269, 1656, 602, 2306, 621, 513, 2370, 899, 4568, 543, 10269, 267, 1312, 540, 799, 616, 9204, 593, 642, 1182, 602, 519, 5313, 2229, 791, 4680, 593, 922, 4961, 269, 18641, 267, 7429, 1346, 9204, 267, 519, 13169, 1281, 711, 5000, 22925, 2623, 269, 901, 568, 606, 21626, 689, 634, 20769, 6670, 281, 1215, 513, 10794, 540, 26554, 645, 1815, 877, 513, 10158, 540, 5020, 538, 3013, 676, 13744, 1695, 7108, 6199, 269, 0, 1607, 3992, 1544, 18252, 1747, 1871, 6486, 547, 948, 1053, 1174, 1840, 543, 12408, 1369, 476, 1911, 269, 898, 12857, 1293, 6823, 543, 1293, 25746, 2994, 547, 12927, 12497, 1620, 563, 1607, 3992, 1544, 9607, 1455, 20887, 676, 3246, 2312, 3137, 540, 2035, 971, 607, 1036, 29470, 3283, 607, 9937, 610, 9937, 607, 3283, 269, 898, 849, 11363, 519, 2956, 540, 1747, 1871, 1620, 2429, 519, 4247, 563, 8133, 267, 519, 3992, 1544, 2882, 606, 14827, 17277, 1141, 1053, 666, 10446, 4194, 1297, 5220, 547, 6542, 741, 1620, 269, 634, 4116, 666, 946, 713, 4879, 547, 2697, 1022, 20887, 610, 2127, 540, 6560, 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 ]