SmallDoge/stable_dataset_processed · Datasets at Hugging Face

input_ids listlengths 1 2.05k	attention_mask listlengths 1 2.05k
[ 2496, 11405, 912, 16936, 454, 339, 454, 341, 454, 327, 335, 454, 293, 454, 1822, 2073, 476, 3451, 454, 23751, 1321, 454, 326, 575, 454, 16936, 454, 333, 667, 454, 341, 454, 11027, 454, 23751, 337, 10975, 454, 332, 454, 333, 454, 333, 454, 342, 454, 342, 454, 326, 454, 1789, 454, 736, 454, 7785, 454, 284, 815, 21591, 263, 3738, 263, 12467, 11027, 12631, 12631, 12631, 454, 322, 524, 512, 530, 524, 454, 326, 524, 454, 326, 454, 303, 623, 715, 544, 623, 454, 301, 623, 454, 291, 454, 3199, 476, 275, 476, 736, 454, 284, 815, 815, 21591, 263, 12467, 322, 454, 322, 454, 16936, 454, 303, 454, 303, 454, 341, 476, 1220, 454, 1321, 454, 1789, 454, 3199, 454, 284, 692, 23751, 11027, 454, 11027, 692, 263, 12467, 322, 524, 454, 339, 454, 303, 623, 454, 293, 454, 31404, 276, 454, 1220, 454, 1839, 476, 1822, 2073, 476, 3451, 454, 284, 21591, 331, 321, 674, 454, 341, 454, 293, 454, 339, 454, 16936, 454, 323, 692, 427, 352, 360, 30492, 23751, 6344, 271, 454, 6344, 271, 692, 263, 12467, 331, 321, 454, 303, 454, 303, 454, 303, 454, 303, 454, 293, 454, 322, 454, 322, 454, 322, 454, 322, 454, 323, 454, 32504, 284, 692, 427, 352, 360, 30492, 23751, 277, 476, 276, 1547, 476, 6924, 278, 476, 31404, 276, 454, 6344, 271, 454, 1220, 476, 6344, 271, 692, 9917, 961, 1826, 281, 538, 623, 667, 454, 322, 530, 454, 272, 1547, 476, 272, 476, 275, 1547, 476, 273, 1341, 21591, 263, 12467, 263, 3738, 263, 3738, 630, 3738, 476, 272, 1547, 476, 272, 476, 275, 1547, 476, 273, 454, 275, 454, 272, 1547, 476, 272, 476, 275, 1547, 476, 273, 454, 275, 454, 11927, 454, 32504, 23751, 32504, 284, 21591, 322, 454, 322, 454, 322, 454, 322, 454, 342, 454, 322, 512, 454, 303, 454, 303, 454, 303, 454, 303, 454, 291, 454, 303, 715, 454, 11027, 12631, 12631, 454, 16575, 454, 10674, 2517, 532, 525, 565, 1075, 542, 926, 657, 269, 24108, 4944, 582, 2593, 454, 306, 4488, 3582, 476, 1691, 1107, 20796, 300, 23817, 12678, 454, 17273, 476, 278, 540, 476, 866, 454, 342, 575, 530, 454, 321, 298, 667, 674, 21591, 322, 454, 303, 536, 476, 273, 815, 31377, 11027, 454, 322, 454, 326, 454, 303, 454, 291, 454, 3199, 454, 284, 692, 323, 530, 454, 293, 674, 21591, 263, 3738, 263, 12467, 263, 12467, 322, 454, 322, 454, 342, 524, 454, 322, 454, 303, 454, 303, 454, 298, 623, 454, 303, 30492, 284, 692, 427, 352, 360, 476, 277, 476, 276, 1547, 476, 6924, 278, 454, 273, 454, 3199, 454, 11027, 692, 263, 12467, 322, 454, 322, 454, 342, 524, 454, 303, 454, 303, 454, 298, 623, 454, 32504, 23751, 277, 476, 276, 1547, 476, 6924, 278, 454, 11152, 1547, 476, 2004, 454, 273, 692, 8368, 11083, 476, 2767, 267, 10434, 2989, 5374, 543, 669, 2683, 19730, 454, 3528, 4693, 543, 5470, 1505, 692, 3528, 4693, 543, 5470, 543, 1210, 7305, 11083, 476, 2767, 630, 18494, 26420, 9881, 486, 454, 333, 454, 994, 342, 454, 298, 454, 322, 454, 303, 454, 322, 454, 303, 630, 560, 323, 264, 18494, 454, 10946, 454, 16575, 1775, 1626, 269, 1556, 454, 333, 454, 395, 484, 454, 3445, 476, 272, 269, 30203, 476, 272, 269, 271, 476, 736, 476, 1626, 476, 1691, 476, 16006, 454, 10219, 476, 271, 269, 3445, 278, 476, 272, 269, 271, 476, 736, 476, 1839, 476, 736, 692, 8196, 454, 334, 454, 736, 21591, 333, 454, 395, 484, 31377, 334, 454, 736, 815, 18494, 2073, 538, 623, 454, 322, 454, 272, 21591, 323, 530, 454, 293, 674, 21591, 263, 3738, 263, 12467, 263, 12467, 272, 454, 272, 476, 277, 476, 276, 1547, 476, 12739, 278, 454, 10219, 454, 3199, 30492, 284, 692, 321, 454, 11027, 692, 514, 536, 476, 24423, 1547, 476, 272, 21591, 25669, 538, 536, 454, 279, 454, 276, 454, 272, 21591, 6357, 2020, 266, 692, 23751, 325, 454, 325, 454, 324, 454, 333, 454, 333, 454, 16575, 26420, 454, 16575, 26420, 454, 16575, 454, 11927, 5430, 454, 11927, 5430, 454, 11927, 454, 334, 454, 736, 21591, 333, 454, 395, 484, 454, 334, 454, 736, 815, 18494, 454, 514, 623, 667, 454, 322, 530, 454, 276, 1547, 476, 274, 476, 272, 1547, 476, 272, 476, 275, 1547, 476, 273, 476, 272, 1547, 476, 272, 476, 275, 1547, 476, 273, 815, 1341, 815, 1341, 21591, 263, 3738, 263, 12467, 325, 10975, 454, 333, 667, 454, 341, 454, 342, 530, 454, 337, 454, 276, 5952, 454, 736, 5430, 476, 1321, 454, 7785, 476, 276, 1547, 476, 274, 454, 6523, 476, 1321, 454, 284, 815, 21591, 11027, 454, 16575, 454, 11027, 692, 263, 12467, 271, 3953, 274, 1547, 476, 271, 454, 276, 5952, 454, 3953, 1547, 476, 271, 476, 3953, 1547, 476, 271, 454, 3607, 1547, 476, 271, 476, 3607, 1547, 476, 271, 454, 284, 815, 21591, 337, 454, 341, 454, 325, 630, 535, 10975, 642, 454, 337, 454, 4968, 271, 476, 3583, 2999, 2999, 12467, 260, 476, 2537, 1547, 476, 3445, 476, 3445, 273, 274, 1547, 476, 271, 454, 271, 3953, 274, 1547, 476, 271, 476, 736, 16009, 476, 736, 5430, 454, 736, 16009, 476, 271, 3953, 274, 1547, 476, 271, 476, 736, 5430, 454, 736, 16009, 815, 25883, 266, 692, 284, 552, 454, 10674, 2517, 532, 525, 565, 1075, 542, 926, 657, 269, 24108, 4944, 582, 2593, 454, 306, 4488, 3582, 476, 1691, 1107, 20796, 300, 23817, 12678, 454, 17273, 476, 279, 540, 476, 866, 454, 278, 1547, 476, 272, 454, 2381, 454, 273, 1547, 476, 6246, 595, 589, 815, 9881, 486, 13483, 269, 538, 780, 263, 12467, 326, 530, 454, 291, 667, 595, 1341, 21591, 273, 454, 272, 692, 514, 667, 454, 342, 454, 276, 1547, 476, 274, 21591, 263, 12467, 514, 454, 303, 454, 291, 454, 322, 454, 326, 454, 276, 1547, 476, 1839, 454, 272, 476, 3199, 476, 3199, 454, 284, 815, 21591, 11027, 12631, 692, 263, 3738, 538, 595, 476, 276, 1547, 476, 1691, 476, 276, 1547, 476, 1839, 476, 276, 1547, 476, 274, 454, 273, 454, 272, 454, 284, 1341, 21591, 263, 3738, 1547, 1547, 476, 2412, 278, 273, 476, 276, 1547, 476, 1691, 476, 273, 1547, 476, 6246, 454, 278, 1547, 476, 272, 454, 2381, 454, 514, 13483, 589, 815, 25883, 307, 17687, 4473, 815, 512, 31221, 454, 2381, 18470, 10264, 512, 589, 554, 1627, 454, 13062, 524, 454, 6629, 31221, 25883, 263, 3738, 263, 3738, 630, 3738, 263, 3738, 630, 3738, 1295, 476, 7785, 2073, 476, 3199, 1295, 476, 1822, 2073, 476, 3451, 476, 4510, 273, 276, 1547, 476, 273, 476, 1839, 476, 3445, 273, 274, 1547, 476, 271, 476, 272, 476, 272, 18470, 10264, 554, 335, 18470, 10264, 554, 335, 554, 335, 552, 1627, 454, 328, 454, 6629, 815, 6567, 6567, 815, 6567, 815, 6567, 21591, 8201, 19200, 476, 2641, 267, 1547, 1547, 476, 274, 1547, 476, 2764, 1547, 1547, 476, 2412, 278, 273, 10264, 13483, 538, 13483, 589, 815, 21591, 293, 538, 13483, 18470, 10264, 554, 454, 13062, 454, 6629, 6567, 6567, 815, 1547, 1547, 1295, 476, 5655, 1547, 476, 271, 454, 322, 454, 304, 1627, 21591, 263, 3738, 263, 3738, 263, 3738, 512, 31221, 815, 476, 2412, 278, 273, 476, 5655, 1547, 476, 271, 476, 7785, 2073, 476, 3199, 454, 293, 512, 476, 5325, 815, 31221, 454, 5976, 674, 512, 476, 1911, 454, 272, 454, 23751, 293, 674, 512, 476, 5611, 476, 15704, 454, 273, 454, 283, 21591, 11997, 267, 1100, 2027, 9023, 2877, 780, 8064, 275, 269, 589, 476, 2004, 3620, 335, 5179, 7432, 693, 476, 11260, 271, 678, 10975, 568, 547, 5838, 922, 1379, 547, 513, 21431, 268, 613, 541, 454, 516, 706, 1356, 267, 4171, 6991, 5223, 568, 547, 581, 476, 736, 269, 634, 7387, 15178, 21431, 568, 547, 581, 1500, 540, 454, 14683, 23150, 5641, 4401, 282, 2094, 513, 21230, 1434, 4398, 568, 5551, 267, 946, 693, 2547, 476, 275, 454, 628, 1348, 338, 282, 22670, 1107, 321, 1258, 2763, 10591, 630, 8368, 11083, 476, 274, 1040, 630, 320, 264, 32341, 2390, 454, 342, 454, 291, 543, 454, 333, 454, 395, 484, 2073, 543, 454, 323, 9057, 710, 5078, 2418, 540, 519, 12334, 543, 3068, 8700, 269, 30770, 630, 321, 264, 519, 4398, 2676, 6262, 264, 519, 2837, 4473, 540, 519, 19149, 656, 269, 6480, 1493, 519, 10237, 908, 1858, 540, 519, 2013, 269, 1772, 454, 338, 2133, 9023, 2877, 2496, 11405, 912, 16936, 454, 339, 454, 341, 454, 327, 335, 454, 293, 454, 1822, 2073, 476, 3451, 454, 23751, 1321, 454, 326, 575, 454, 16936, 454, 333, 667, 454, 341, 454, 11027, 454, 23751, 337, 10975, 454, 332, 454, 333, 454, 333, 454, 342, 454, 342, 454, 326, 454, 276, 1547, 476, 9262, 454, 736, 454, 11260, 271, 454, 284, 815, 21591, 263, 3738, 263, 12467, 11027, 12631, 12631, 12631, 454, 322, 524, 512, 530, 524, 454, 326, 524, 454, 326, 454, 303, 623, 715, 544, 623, 454, 301, 623, 454, 291, 454, 3199, 476, 275, 476, 736, 454, 284, 815, 815, 21591, 10674, 2517, 532, 525, 565, 1075, 542, 926, 657, 269, 24108, 4944, 582, 2593, 454, 306, 4488, 3582, 476, 1691, 1107, 20796, 300, 23817, 12678, 454, 17273, 476, 280, 540, 476, 866, 454, 263, 12467, 322, 454, 322, 454, 16936, 454, 303, 454, 303, 454, 341, 476, 6812, 274, 454, 1321, 454, 276, 1547, 476, 9262, 454, 3199, 454, 284, 692, 23751, 11027, 454, 11027, 692, 263, 12467, 322, 524, 454, 339, 454, 303, 623, 454, 293, 454, 27543, 271, 454, 6812, 274, 454, 2004, 476, 1822, 2073, 476, 3451, 454, 284, 25883, 5416, 264, 18470, 674, 454, 341, 454, 293, 454, 339, 454, 16936, 454, 323, 692, 427, 352, 360, 30492, 23751, 6344, 271, 454, 6344, 271, 692, 263, 12467, 331, 321, 454, 303, 454, 303, 454, 303, 454, 303, 454, 293, 454, 322, 454, 322, 454, 322, 454, 322, 454, 323, 454, 32504, 284, 692, 427, 352, 360, 30492, 23751, 6187, 1547, 476, 273, 476, 15389, 276, 476, 27543, 271, 454, 6344, 271, 454, 6812, 274, 476, 6344, 271, 692, 342, 575, 530, 454, 321, 298, 667, 674, 21591, 322, 454, 303, 536, 476, 273, 815, 31377, 11027, 454, 322, 454, 326, 454, 303, 454, 291, 454, 3199, 454, 284, 692, 323, 530, 454, 293, 674, 21591, 263, 3738, 263, 12467, 263, 12467, 322, 454, 322, 454, 342, 524, 454, 322, 454, 303, 454, 303, 454, 298, 623, 454, 303, 30492, 284, 692, 427, 352, 360, 476, 6187, 1547, 476, 273, 476, 15389, 276, 454, 273, 454, 3199, 454, 11027, 692, 263, 12467, 322, 454, 322, 454, 342, 524, 454, 303, 454, 303, 454, 298, 623, 454, 32504, 23751, 6187, 1547, 476, 273, 476, 15389, 276, 454, 11152, 1547, 476, 2004, 454, 273, 692, 342, 454, 322, 512, 454, 291, 454, 303, 715, 454, 11027, 454, 16575, 815, 16009, 454, 9515, 961, 15178, 454, 514, 623, 667, 454, 322, 530, 454, 272, 1547, 476, 272, 476, 275, 1547, 476, 273, 1341, 21591, 263, 3738, 476, 272, 1547, 476, 272, 476, 275, 1547, 476, 273, 454, 275, 454, 11927, 454, 32504, 23751, 322, 454, 322, 454, 303, 454, 303, 454, 11027, 454, 16575, 454, 8368, 11083, 476, 2767, 267, 1164, 23150, 5641, 268, 1241, 543, 22670, 19730, 454, 3528, 4693, 543, 5470, 543, 1210, 7305, 11083, 476, 2767, 630, 18494, 26420, 9881, 486, 454, 333, 454, 994, 342, 454, 298, 454, 322, 454, 303, 454, 322, 454, 303, 630, 560, 323, 264, 18494, 454, 10946, 454, 16575, 1775, 1626, 269, 1556, 454, 333, 454, 395, 484, 454, 3199, 476, 272, 269, 23713, 476, 272, 269, 271, 476, 736, 476, 1626, 476, 1691, 476, 16006, 454, 12893, 476, 271, 269, 279, 5952, 476, 278, 270, 279, 476, 866, 269, 273, 476, 1839, 476, 736, 692, 8196, 454, 334, 454, 273, 1547, 476, 866, 815, 18494, 31377, 334, 454, 736, 21591, 333, 454, 395, 484, 2073, 538, 623, 454, 322, 454, 279, 454, 278, 454, 23751, 514, 623, 667, 454, 322, 530, 454, 273, 1547, 476, 274, 476, 272, 1547, 476, 272, 454, 279, 454, 278, 454, 275, 1547, 476, 273, 476, 272, 1547, 476, 272, 476, 275, 1547, 476, 273, 815, 1341, 692, 284, 1341, 21591, 323, 530, 454, 293, 674, 21591, 10674, 2517, 532, 525, 565, 1075, 542, 926, 657, 269, 24108, 4944, 582, 2593, 454, 306, 4488, 3582, 476 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 23742, 614, 676, 13445, 454, 23742, 614, 676, 14474, 454, 27144, 2983, 32015, 29885, 543, 18536, 18332, 6008, 696, 4141, 781, 11916, 3194, 538, 5274, 538, 20117, 674, 1068, 16478, 543, 21150, 787, 334, 18734, 267, 476, 3422, 280, 268, 2735, 271, 454, 763, 24118, 22920, 540, 1480, 538, 20117, 22289, 543, 21872, 4483, 630, 4353, 293, 268, 4953, 264, 3576, 1296, 547, 1831, 519, 3811, 4480, 602, 27057, 6087, 1102, 1068, 850, 15185, 547, 723, 741, 1378, 1453, 269, 769, 476, 3422, 280, 267, 811, 982, 4557, 1296, 1310, 519, 1101, 8942, 547, 1521, 1102, 1068, 1988, 609, 10001, 293, 4066, 267, 519, 3703, 11095, 29489, 7917, 2983, 32015, 29885, 6992, 1242, 1480, 522, 14231, 538, 513, 8891, 686, 8670, 585, 519, 1101, 942, 563, 2108, 22546, 540, 966, 698, 1400, 590, 843, 523, 2378, 559, 593, 519, 4934, 2492, 540, 769, 23554, 549, 674, 1068, 16478, 630, 4353, 293, 264, 2991, 13038, 10001, 293, 674, 841, 999, 5900, 30744, 547, 18648, 7736, 2210, 7434, 4886, 892, 630, 1220, 273, 1070, 676, 2983, 32015, 15593, 543, 11518, 9445, 674, 27688, 454, 12867, 2983, 32015, 15593, 543, 11518, 9445, 674, 27688, 5795, 22870, 27558, 267, 849, 1634, 607, 521, 843, 523, 2378, 559, 267, 547, 2021, 18460, 12680, 2126, 547, 1449, 2436, 519, 6646, 1223, 2087, 12680, 543, 6379, 3928, 269, 634, 3173, 6069, 602, 22870, 27558, 267, 3335, 8612, 547, 1521, 16245, 850, 14524, 538, 2367, 267, 1131, 948, 2021, 609, 513, 1686, 540, 8959, 2250, 12680, 5574, 676, 5394, 2287, 741, 26707, 7434, 16298, 267, 799, 568, 519, 4494, 540, 5160, 538, 519, 19786, 1141, 606, 21872, 18032, 1282, 6379, 269, 0, 2171, 5206, 827, 519, 4950, 689, 2230, 19108, 267, 715, 758, 807, 568, 12777, 2469, 1256, 2417, 676, 2679, 513, 5985, 3060, 593, 519, 7599, 269, 634, 25227, 2754, 814, 1044, 5697, 676, 519, 2230, 8116, 8331, 547, 1628, 519, 1360, 1101, 5985, 3060, 593, 519, 7599, 269, 1403, 596, 4755, 547, 1305, 3723, 593, 519, 7599, 1369, 513, 1906, 1296, 267, 596, 666, 2671, 602, 2027, 2680, 609, 519, 1158, 7064, 547, 519, 476, 275, 294, 2029, 602, 715, 758, 807, 568, 16459, 972, 269, 901, 3060, 568, 851, 540, 8331, 685, 320, 3203, 28087, 1982, 267, 609, 799, 621, 6499, 547, 3142, 1004, 1394, 547, 519, 7599, 689, 476, 1708, 275, 269, 9320, 519, 5685, 985, 1810, 1406, 1118, 519, 1655, 5498, 29818, 11436, 15042, 267, 741, 3060, 4066, 616, 3833, 14262, 563, 31636, 689, 519, 7599, 454, 301, 758, 807, 779, 13852, 6997, 338, 6498, 786, 1376, 2679, 713, 2027, 3060, 593, 519, 7599, 538, 476, 1708, 273, 269, 1635, 519, 1259, 267, 1100, 1480, 814, 547, 2951, 547, 519, 7599, 585, 602, 267, 1317, 621, 568, 2366, 609, 513, 7599, 2244, 518, 269, 4340, 547, 715, 758, 807, 267, 519, 3060, 3888, 338, 543, 8848, 999, 3294, 19952, 269, 901, 3060, 1287, 2488, 1271, 2792, 3681, 267, 2523, 1271, 585, 3388, 543, 3025, 593, 519, 7599, 269, 6056, 540, 9013, 16264, 2244, 619, 267, 1483, 6066, 12445, 543, 18297, 3381, 19827, 1500, 593, 519, 7599, 269, 715, 758, 807, 779, 700, 15288, 3060, 5116, 593, 9855, 568, 519, 2062, 14725, 1676, 540, 476, 276, 294, 543, 23679, 14018, 547, 1683, 519, 12616, 14479, 602, 20691, 991, 269, 7605, 1824, 593, 3135, 786, 4166, 581, 2111, 547, 5968, 609, 1142, 824, 811, 3362, 7064, 547, 519, 4417, 540, 713, 3060, 563, 763, 1482, 700, 15288, 630, 16524, 12910, 12472, 264, 4066, 602, 723, 3177, 721, 593, 3047, 609, 10408, 1239, 543, 10912, 7207, 585, 519, 2250, 476, 1015, 1296, 616, 1631, 1031, 676, 715, 758, 807, 585, 10618, 538, 2230, 543, 593, 519, 7599, 269, 700, 15288, 568, 513, 8810, 3811, 2029, 543, 568, 1031, 5001, 269, 715, 758, 807, 4566, 547, 10131, 609, 476, 275, 294, 543, 2663, 1256, 476, 276, 294, 593, 519, 7599, 269, 0, 2690, 9937, 540, 5215, 540, 661, 4471, 7264, 267, 1569, 547, 2635, 267, 10097, 3536, 568, 513, 1483, 4161, 269, 5253, 24301, 267, 2687, 547, 519, 2136, 2276, 4972, 540, 11982, 267, 616, 606, 1858, 1141, 693, 2547, 476, 3451, 2600, 540, 7264, 2661, 835, 13304, 610, 811, 689, 519, 14282, 17365, 4558, 610, 2706, 21466, 563, 15933, 24301, 4043, 547, 581, 811, 13671, 538, 1970, 13867, 267, 12102, 16973, 267, 1141, 7264, 1419, 3668, 1569, 547, 513, 6174, 610, 6325, 6283, 269, 2060, 7864, 2706, 5658, 1115, 543, 17365, 8637, 543, 513, 2362, 5834, 540, 1507, 13418, 8637, 4092, 538, 1426, 24301, 267, 1569, 547, 2635, 267, 10097, 3536, 568, 513, 3395, 1966, 269, 3509, 7944, 8637, 2709, 3810, 9268, 267, 26437, 267, 1164, 19339, 267, 1164, 1606, 5306, 610, 1164, 1606, 13610, 1426, 543, 10425, 269, 9453, 1569, 547, 519, 3536, 602, 1118, 909, 513, 2635, 2732, 267, 2043, 616, 811, 2693, 547, 581, 14968, 267, 1995, 4057, 1072, 267, 543, 723, 2799, 4220, 540, 1082, 3676, 267, 971, 607, 3987, 267, 2295, 2068, 543, 2860, 269, 634, 661, 4471, 6019, 4972, 540, 2657, 568, 2324, 547, 1118, 2635, 267, 4264, 9283, 538, 938, 2146, 998, 2069, 267, 13319, 543, 2146, 23793, 563, 3383, 875, 798, 596, 917, 952, 596, 2661, 538, 513, 1426, 9390, 286, 634, 22340, 779, 5253, 7457, 3194, 25304, 568, 513, 1863, 1907, 602, 2636, 596, 547, 1294, 519, 4087, 540, 1426, 24301, 9170, 538, 519, 2197, 1107, 596, 666, 1256, 3406, 676, 2232, 269, 901, 1907, 2636, 596, 547, 1294, 2127, 540, 1970, 4747, 543, 1970, 1569, 630, 2421, 3845, 543, 6174, 1569, 1070, 538, 1840, 547, 14829, 1344, 676, 14467, 513, 2016, 1858, 563, 4910, 1545, 1280, 6732, 590, 2793, 303, 623, 3420, 1162, 454, 1103, 12425, 267, 7264, 945, 4309, 590, 2793, 303, 27582, 6630, 616, 1631, 2111, 547, 4444, 590, 2793, 303, 14718, 3536, 543, 10425, 2228, 998, 9546, 27926, 543, 8835, 269, 1452, 2640, 666, 849, 581, 1031, 547, 4444, 2371, 543, 5452, 547, 1332, 1426, 693, 1753, 269, 901, 568, 513, 1390, 1259, 547, 1205, 1426, 952, 596, 2661, 538, 513, 1426, 9390, 610, 616, 8572, 547, 1118, 621, 547, 707, 14282, 17365, 4558, 269, 1280, 811, 1344, 267, 5225, 2638, 856, 891, 2200, 281, 0, 763, 13653, 540, 519, 4139, 18639, 4659, 538, 3127, 267, 9040, 14505, 9093, 517, 568, 3743, 585, 8744, 2413, 10649, 547, 519, 4639, 269, 589, 5065, 540, 519, 1533, 540, 8496, 27256, 21423, 538, 3127, 267, 9093, 517, 4607, 1010, 4110, 538, 6138, 689, 12370, 2160, 543, 1287, 13736, 10649, 585, 936, 476, 736, 1296, 538, 519, 22615, 18885, 3148, 540, 3127, 269, 4825, 9506, 547, 3127, 547, 10131, 519, 18639, 4659, 538, 476, 3422, 276, 267, 9093, 517, 4810, 513, 2981, 1049, 3134, 13023, 1415, 1247, 1199, 23550, 693, 519, 10723, 5757, 717, 5190, 269, 1261, 7691, 602, 519, 3504, 4095, 24866, 602, 1185, 11461, 1864, 782, 1010, 1272, 941, 18106, 1510, 2413, 7215, 563, 3891, 3964, 519, 4659, 547, 4196, 607, 513, 8115, 1063, 5101, 543, 4639, 267, 10771, 1312, 519, 5289, 2640, 6508, 689, 513, 6986, 1106, 540, 10649, 543, 519, 4052, 2115, 540, 8723, 1004, 538, 519, 4207, 1158, 269, 7073, 18639, 267, 799, 568, 6026, 693, 519, 18639, 4659, 267, 10905, 519, 7096, 10752, 540, 3504, 3127, 609, 519, 4030, 540, 7262, 3744, 543, 1514, 3744, 269, 2755, 930, 1522, 13498, 713, 1935, 607, 513, 4984, 267, 9093, 517, 12034, 621, 607, 513, 1505, 540, 2713, 1107, 835, 1759, 593, 519, 9015, 540, 3168, 856, 585, 1142, 1268, 14350, 543, 1739, 1010, 610, 1200, 1378, 2619, 538, 1272, 269, 769, 824, 1913, 267, 519, 4651, 540, 2413, 10649, 3610, 9093, 517, 11099, 602, 1142, 1268, 1590, 3605, 543, 1246, 1010, 610, 1200, 1378, 2619, 538, 1272, 269, 901, 1259, 267, 519, 1367, 666, 3035, 8788, 543, 13884, 563, 3080, 540, 519, 1034, 9565, 18971, 540, 2413, 10649, 568, 4793, 534, 329, 8932, 269, 19612, 607, 519, 2278, 610, 23266, 540, 10649, 267, 4793, 534, 329, 8932, 568, 849, 6444, 607, 519, 4651, 540, 7362, 5751, 267, 16095, 6652, 543, 519, 10649, 607, 3570, 269, 4340, 547, 9093, 517, 267, 4793, 534, 329, 8932, 19424, 539, 3670, 4998, 4703, 281, 590, 3430, 9366, 267, 23111, 553, 267, 13804, 320, 267, 14076, 320, 543, 715, 597, 341, 3570, 269, 4014, 646, 2760, 1031, 891, 2474, 547, 14377, 519, 2495, 540, 1010, 10649, 521, 583, 6652, 267, 646, 3769, 873, 538, 1010, 10752, 865, 602, 3988, 1131, 581, 5432, 609, 519, 2035, 563, 5194, 4651, 540, 2413, 10649, 4116, 568, 3220, 269, 4427, 597, 13850, 846, 269, 2755, 1034, 5640, 5491, 3220, 269, 4427, 597, 13850, 846, 609, 10962, 10649, 547, 6628, 267, 646, 2965, 6026, 519, 2296, 1893, 1362, 547, 513, 2824, 1895, 540, 1977, 15446, 529, 269, 2290, 540, 519, 1101, 1919, 602, 519, 15446, 529, 1705, 729, 6338, 519, 4480, 540, 968, 332, 656, 571, 892, 610, 17279, 540, 10723, 1913, 610, 513, 10723, 16051, 571, 269, 1261, 729, 849, 606, 1271, 23784, 547, 519, 1646, 540, 519, 607, 3570, 610, 2168, 2022, 999, 1031, 676, 2413, 1554, 10649, 3610, 543, 1053, 563, 288, 1906, 2367, 945, 6766, 3220, 269, 4427, 597, 13850, 846, 616, 645, 14389, 2529, 269, 570, 9500, 1690, 328, 267, 808, 12991, 269, 717, 758, 3121, 267, 4210, 9564, 667, 1506, 534, 27707, 523, 267, 717, 2246, 600, 267, 543, 1866, 269, 4107, 540, 873, 941, 8036, 15446, 529, 543, 5340, 741, 607, 11446, 543, 929, 534, 599, 24252, 538, 513, 1259, 602, 12006, 519, 4276, 1063, 519, 607, 11446, 543, 519, 4514, 5289, 4555, 540, 519, 17024, 269, 1452, 3610, 5795, 2413, 10649, 922, 2012, 281, 18639, 609, 18639, 563, 294, 2246, 4821, 17700, 267, 519, 4651, 540, 13221, 538, 3127, 267, 568, 6444, 607, 519, 4651, 540, 13221, 267, 855, 972, 616, 930, 945, 2161, 621, 729, 590, 1342, 14390, 320, 17700, 269, 898, 1058, 581, 7074, 602, 1247, 519, 4651, 540, 10649, 2022, 999, 543, 10649, 929, 534, 599, 4821, 616, 2808, 1360, 1271, 3344, 540, 10649, 267, 621, 1058, 711, 581, 11821, 609, 519, 2165, 2048, 289, 3291, 3873, 9957, 1703, 616, 2965, 1082, 3610, 540, 2221, 945, 616, 19101, 547, 581, 519, 13653, 540, 13221, 269, 634, 5168, 568, 602, 590, 1342, 14390, 320, 17700, 2451, 1010, 1665, 593, 3127, 779, 2528, 1454, 4505, 982, 645, 11065, 2529, 563, 2691, 7234, 519, 4651, 540, 2413, 10649, 3610, 267, 835, 1590, 1331, 717, 2246, 4821, 17700, 269, 3571, 10752, 723, 1185, 7096, 3310, 593, 519, 4720, 540, 519, 4095, 5289, 2245, 269, 898, 1058, 581, 7074, 602, 3220, 269, 717, 2246, 4821, 17700, 267, 849, 1572, 717, 2246, 4821, 13225, 698, 822, 10620, 267, 729, 4535, 538, 3127, 779, 9456, 1533, 540, 7203, 333, 987, 693, 519, 942, 540, 519, 2063, 4622, 540, 715, 7701, 630, 298, 20076, 264, 540, 519, 715, 7701, 15438, 269, 901, 19036, 569, 1533, 729, 13883, 538, 18310, 269, 2991, 1373, 22961, 5367, 547, 930, 10649, 3610, 538, 3127, 267, 717, 2246, 4821, 17700, 6410, 547, 18310, 1141, 646, 2968, 513, 1200, 2466, 543, 5030, 538, 694, 2424, 585, 1079, 5756, 269, 4438, 713, 942, 646, 30363, 519, 1521, 1047, 2048, 303, 571, 329, 333, 777, 3120, 13850, 761, 320, 685, 630, 29973, 338, 540, 16217, 2358, 519, 29831, 1916, 763, 2262, 18639, 267, 2495, 962, 5803, 543, 28687, 1484, 532, 267, 729, 1031, 676, 717, 2246, 4821, 17700, 547, 2697, 1010, 10752, 269, 2991, 2713, 538, 694, 2424, 585, 936, 1079, 1296, 267, 646, 729, 14059, 676, 513, 27041, 543, 4280, 547, 3262, 519, 2262, 540, 1010, 10752, 269, 4014, 646, 17379, 519, 2709, 267, 646, 19622, 547, 1010, 1200, 2466, 720, 543, 3459, 547, 4050, 1524, 1010, 4555, 593, 519, 2619, 547, 19802, 689, 8474, 547, 561, 755, 267, 6159, 1324, 543, 22293, 269, 769, 519, 2038, 1296, 540, 1010, 5692, 267, 891, 1913, 941, 5293, 1524, 547, 1906, 2824, 521, 1137, 269, 1452, 521, 1137, 3769, 4210, 9564, 667, 1506, 534, 27707, 523, 267, 4793, 534, 329, 8932, 267, 2806, 327, 21531, 13225, 553, 2742, 543, 717, 2246, 4821, 17700, 269, 0, 2691, 649, 1589, 827, 1582, 16477, 267, 649, 1589, 827, 875, 1390, 1870, 2029, 568, 267, 875, 1454, 1732, 621, 666, 581, 267, 543, 875, 1454, 789, 616, 2469, 547, 1118, 538, 519, 2104, 563, 6546, 779, 835, 540, 519, 4128, 621, 779, 16168, 875, 621, 4667, 899, 649, 2461, 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 ]
[ 8037, 2460, 540, 9894, 328, 779, 4876, 2619, 568, 1200, 5912, 689, 2324, 607, 513, 21044, 5619, 13798, 518, 547, 4742, 513, 1291, 16461, 3438, 269, 901, 6521, 8711, 519, 2956, 540, 16565, 3309, 1983, 543, 2833, 547, 4434, 24015, 538, 5256, 26730, 3990, 4610, 899, 2344, 1382, 269, 5047, 267, 621, 19156, 519, 1761, 2640, 540, 30023, 3292, 543, 2866, 7341, 2966, 4481, 585, 2021, 5275, 5718, 5107, 780, 4913, 267, 8236, 16057, 10688, 1869, 3340, 29270, 24245, 7496, 12082, 538, 4008, 9186, 269, 769, 1931, 547, 8011, 267, 2021, 1419, 3068, 2604, 547, 14883, 547, 30566, 545, 16431, 540, 7682, 4369, 543, 28211, 1107, 10305, 3335, 2404, 609, 27828, 269, 2311, 519, 1482, 942, 267, 789, 1981, 1394, 31988, 952, 9228, 607, 1932, 10728, 610, 16529, 269, 1677, 6330, 891, 32475, 3927, 267, 4648, 899, 9894, 328, 1590, 11766, 7580, 1582, 1790, 19948, 12485, 602, 3666, 13597, 609, 10220, 780, 11101, 267, 5103, 3356, 2509, 3152, 4008, 9698, 267, 930, 6080, 3136, 547, 18848, 3297, 269, 1280, 1383, 267, 13241, 630, 14396, 267, 2029, 267, 4702, 267, 543, 6128, 264, 10459, 2611, 8185, 7729, 14954, 2509, 5256, 7589, 267, 17923, 14461, 15523, 1063, 2930, 543, 2571, 1983, 269, 769, 3210, 267, 14223, 3646, 3366, 676, 3906, 971, 607, 21989, 5808, 8943, 543, 28985, 6468, 22895, 832, 2832, 547, 24905, 548, 11475, 543, 3895, 4763, 538, 3872, 27983, 269, 1452, 7459, 6542, 519, 2565, 1909, 5129, 676, 29065, 5322, 538, 6117, 1689, 693, 1312, 2890, 543, 12550, 2157, 780, 6962, 281, 16871, 16844, 543, 769, 12807, 538, 4317, 3163, 3194, 692, 3528, 6313, 519, 1272, 543, 4876, 540, 9894, 328, 267, 938, 14070, 2943, 11347, 4137, 267, 713, 1576, 1770, 3091, 2629, 4030, 883, 519, 1950, 6384, 5935, 575, 25311, 4074, 538, 1514, 2257, 1382, 269, 3414, 6297, 3498, 540, 1883, 2035, 689, 15594, 3069, 267, 649, 1451, 875, 6946, 3157, 540, 3961, 5250, 267, 1379, 19908, 267, 543, 4187, 11200, 1369, 1808, 12250, 8658, 269, 11086, 267, 8508, 4763, 543, 13784, 14122, 5807, 12581, 3889, 543, 4529, 602, 11760, 519, 7418, 543, 4145, 540, 782, 2818, 1107, 7488, 540, 4008, 267, 5198, 267, 1362, 267, 610, 824, 12508, 540, 3017, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 12441, 328, 568, 938, 11285, 1291, 16461, 3438, 585, 1585, 2010, 540, 1382, 971, 607, 1445, 2516, 267, 538, 3178, 11042, 267, 6049, 12220, 267, 2228, 11042, 543, 811, 269, 4173, 11108, 1983, 538, 713, 1858, 2327, 649, 3717, 547, 519, 1318, 1004, 538, 519, 1318, 1259, 267, 2870, 3972, 10290, 1465, 538, 519, 960, 649, 798, 543, 7393, 1788, 1967, 585, 938, 7218, 269, 9894, 328, 814, 1044, 609, 15859, 543, 2601, 585, 476, 1724, 1296, 267, 1141, 1352, 849, 5249, 607, 21044, 5619, 13798, 518, 540, 8231, 520, 574, 6114, 799, 814, 2016, 1200, 513, 3638, 1620, 540, 875, 1004, 4431, 547, 12220, 563, 2026, 1291, 16461, 3438, 267, 9894, 328, 814, 1995, 538, 1082, 2229, 3785, 267, 9235, 267, 7082, 5370, 267, 6683, 267, 543, 1256, 519, 811, 6213, 1858, 540, 16461, 1746, 585, 24133, 2533, 1382, 269, 589, 2487, 1788, 9894, 328, 568, 2523, 10583, 540, 568, 2348, 5249, 607, 1291, 16461, 3438, 593, 513, 1804, 4336, 3084, 1788, 1472, 519, 2360, 593, 2950, 540, 1232, 12365, 5314, 543, 5599, 2030, 9505, 23957, 538, 519, 1847, 547, 4880, 20023, 563, 25387, 267, 9894, 328, 568, 519, 1292, 1448, 540, 3346, 585, 1776, 1804, 1606, 8619, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 14298, 18426, 13316, 1315, 6468, 781, 5525, 1315, 12339, 21442, 7869, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 7170, 281, 4197, 23398, 10263, 10495, 630, 293, 10621, 2567, 29955, 3776, 14886, 5269, 14568, 932, 7860, 2439, 5970, 596, 2479, 9289, 1946, 707, 2828, 1522, 957, 8335, 538, 1114, 3871, 286, 9320, 835, 3659, 4991, 2731, 25064, 1282, 2257, 1362, 855, 13978, 9602, 1282, 2979, 269, 2107, 5310, 1776, 3659, 2141, 6499, 547, 1694, 693, 519, 4395, 540, 519, 1668, 855, 27422, 519, 1394, 950, 789, 2811, 16304, 856, 609, 741, 25097, 269, 4658, 13789, 8335, 4470, 593, 1141, 789, 616, 543, 1018, 789, 1616, 547, 3035, 1107, 1256, 3214, 899, 721, 2439, 1103, 713, 3184, 267, 649, 3513, 1451, 827, 1945, 1572, 834, 293, 23341, 10263, 10495, 2437, 610, 674, 10621, 585, 2110, 269, 1323, 674, 10621, 2337, 4079, 1174, 1946, 2576, 31136, 513, 1978, 1259, 865, 789, 666, 948, 873, 1118, 1732, 5079, 269, 898, 6212, 593, 23115, 856, 519, 3483, 3297, 513, 1268, 781, 3527, 267, 799, 568, 849, 1634, 607, 519, 834, 10818, 1701, 2913, 781, 2736, 1524, 1018, 4422, 883, 606, 674, 10621, 1900, 676, 1900, 1384, 3721, 476, 272, 281, 10576, 519, 4101, 2623, 454, 5575, 267, 6738, 13522, 991, 547, 4137, 856, 799, 1808, 2623, 2115, 930, 3063, 3007, 269, 1280, 1383, 267, 6148, 938, 3659, 814, 8373, 9361, 1869, 1282, 4245, 269, 4495, 789, 917, 4010, 1018, 2623, 547, 1445, 593, 267, 621, 781, 942, 547, 1847, 593, 547, 5153, 476, 273, 780, 3721, 476, 273, 281, 27297, 519, 2623, 454, 9202, 909, 267, 11287, 1797, 9878, 1360, 2673, 3007, 547, 950, 543, 1141, 519, 2623, 4523, 269, 1924, 952, 938, 530, 580, 16744, 3659, 9620, 547, 3251, 27206, 267, 6738, 13522, 1131, 1491, 4967, 593, 1919, 899, 950, 621, 2356, 4386, 630, 3697, 1310, 12899, 5503, 1070, 875, 1279, 621, 16569, 267, 543, 945, 3116, 568, 1472, 269, 1452, 7422, 948, 5862, 513, 2312, 4605, 540, 519, 3510, 780, 3721, 476, 274, 281, 14419, 519, 1599, 454, 3086, 2501, 519, 2629, 851, 910, 1620, 1946, 519, 2623, 568, 8345, 269, 1772, 938, 3659, 3001, 1472, 1317, 789, 2811, 2407, 540, 1648, 1310, 4189, 286, 2107, 6148, 789, 1265, 519, 3992, 19309, 543, 991, 1945, 811, 4277, 547, 1832, 5059, 269, 1635, 3168, 693, 3270, 538, 741, 2623, 543, 519, 2621, 4478, 621, 267, 6738, 13522, 666, 1376, 547, 1294, 1018, 1522, 581, 4929, 621, 780, 3721, 476, 275, 281, 3763, 513, 1544, 454, 5629, 972, 781, 513, 1434, 2856, 540, 1946, 519, 2623, 568, 9648, 267, 6738, 13522, 666, 1711, 513, 1544, 547, 1489, 938, 3659, 269, 1358, 1522, 2303, 2110, 9397, 1063, 4245, 267, 1683, 535, 573, 1326, 2645, 267, 610, 960, 609, 3610, 547, 1118, 1565, 2326, 811, 2502, 269, 12697, 899, 891, 2285, 1004, 1007, 2081, 547, 2743, 741, 2115, 1510, 759, 15659, 547, 4101, 5615, 780, 3383, 3314, 267, 1175, 899, 1142, 540, 721, 21593, 1114, 2238, 543, 5396, 693, 1153, 267, 3025, 814, 2189, 4128, 585, 9117, 519, 1259, 789, 798, 269, 1656, 1631, 602, 649, 917, 782, 827, 23398, 10263, 8178, 906, 267, 649, 666, 5660, 875, 1271, 621, 568, 547, 2015, 1346, 4128, 950, 4543, 1866, 1118, 1732, 5079, 269, 2991, 782, 267, 1620, 5012, 547, 11587, 267, 9639, 267, 543, 6793, 17052, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 347, 24874, 625, 855, 6153, 625, 281, 3427, 10241, 540, 25839, 3194, 538, 11930, 10263, 5811, 454, 23277, 10185, 267, 2904, 476, 4029, 267, 476, 1001, 271, 454, 347, 274, 281, 876, 6751, 1700, 275, 281, 736, 6751, 454, 30106, 1410, 553, 11831, 3336, 6428, 517, 667, 630, 294, 8681, 5754, 3430, 994, 347, 22704, 281, 11581, 290, 282, 23792, 281, 11930, 10263, 5811, 454, 347, 2419, 1515, 281, 30960, 595, 269, 645, 545, 731, 630, 17206, 540, 6490, 874, 529, 994, 347, 28097, 656, 281, 30960, 595, 269, 645, 545, 731, 630, 17206, 540, 6490, 874, 529, 994, 347, 4753, 26189, 528, 281, 3627, 16907, 516, 549, 267, 1912, 6185, 563, 347, 20082, 281, 901, 1623, 24007, 786, 13686, 1614, 556, 4124, 543, 24909, 540, 5929, 1382, 538, 4294, 2623, 2079, 269, 5565, 2090, 6542, 602, 1895, 20218, 20314, 4293, 630, 294, 8016, 264, 543, 1599, 2861, 7459, 666, 581, 1031, 676, 4928, 3610, 547, 2333, 3617, 2623, 540, 1053, 609, 3929, 543, 8965, 4713, 269, 634, 1101, 1353, 1336, 602, 606, 25191, 22524, 8817, 717, 8016, 267, 513, 4999, 540, 4830, 543, 22524, 8817, 717, 8016, 267, 2799, 4081, 1449, 8464, 543, 2623, 540, 1053, 609, 3929, 543, 2623, 4713, 538, 513, 10821, 4259, 269, 634, 2034, 1353, 11567, 519, 12117, 540, 7459, 6508, 689, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 293, 23341, 10263, 10495, 630, 293, 10621, 17983, 607, 851, 540, 834, 3633, 24102, 1315, 19884, 5004, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8136, 2418, 616, 5718, 282, 5718, 568, 8136, 2418, 563, 763, 8136, 2418, 616, 5718, 282, 5718, 568, 8136, 2418, 11053, 4711, 281, 645, 332, 342, 6355, 4643, 310, 904, 1677, 1230, 2850, 1323, 4828, 769, 5053, 3721, 338, 1280, 5675, 589, 3194, 7433, 769, 5664, 3427, 27287, 15154, 18873, 1280, 14146, 619, 16240, 11426, 31207, 4911, 983, 329, 338, 31807, 3539, 1323, 4828, 454, 1103, 5758, 4986, 6941, 700, 5819, 1399, 1732, 982, 519, 8136, 779, 4214, 968, 289, 792, 3020, 5132, 543, 14336, 4800, 547, 519, 772, 269, 11156, 267, 519, 8136, 267, 543, 824, 7980, 1848, 667, 14280, 568, 547, 3274, 968, 293, 5285, 650, 707, 13800, 1848, 23560, 707, 10279, 568, 811, 982, 8876, 856, 4247, 596, 616, 8655, 269, 8136, 568, 7683, 538, 5163, 1813, 547, 519, 991, 547, 2347, 1082, 13485, 3232, 563, 291, 14280, 1797, 1373, 2111, 547, 2347, 4247, 607, 851, 540, 513, 2319, 269, 12143, 1310, 7084, 16432, 593, 1283, 540, 835, 1776, 568, 1018, 649, 798, 1875, 17380, 2429, 938, 7952, 11678, 563, 9827, 5355, 741, 2773, 568, 513, 13766, 547, 1118, 513, 811, 7123, 1770, 269, 1131, 1376, 609, 700, 5819, 1399, 281, 19594, 3020, 5132, 543, 14336, 4800, 547, 519, 772, 269, 9139, 267, 519, 8136, 267, 707, 1770, 543, 824, 22307, 4536, 269, 2339, 540, 8876, 856, 267, 9117, 267, 543, 2713, 519, 2418, 540, 2463, 267, 10279, 267, 14017, 267, 1582, 1652, 3028, 267, 8699, 267, 543, 2123, 10100, 538, 3388, 596, 798, 4429, 4910, 1051, 568, 547, 968, 307, 805, 1004, 607, 789, 1058, 581, 5701, 1848, 5272, 17199, 568, 3743, 585, 8156, 824, 1004, 609, 15683, 543, 2463, 563, 4002, 519, 2816, 610, 1055, 621, 568, 938, 5539, 607, 7980, 547, 6529, 9244, 547, 519, 18599, 11759, 8136, 18880, 563, 8266, 539, 2630, 616, 519, 18599, 11759, 8136, 18880, 543, 875, 789, 4019, 547, 938, 2816, 538, 519, 2136, 2276, 8136, 269, 2710, 532, 1018, 707, 5143, 849, 2982, 707, 14017, 547, 707, 5718, 543, 707, 1770, 269, 700, 5819, 1399, 568, 513, 8984, 602, 3112, 581, 7142, 2390, 513, 17199, 998, 10751, 11482, 5819, 1399, 568, 2919, 998, 3972, 689, 824, 7980, 1472, 596, 267, 2523, 707, 2706, 12542, 269, 10144, 3006, 798, 711, 8275, 519, 2956, 891, 2418, 723, 593, 519, 1259, 649, 616, 9763, 676, 519, 1004, 945, 1413, 909, 547, 519, 2367, 543, 4807, 945, 616, 29341, 2614, 547, 2099, 519, 2136, 2276, 8136, 676, 9849, 713, 7833, 269, 6624, 1004, 917, 1018, 519, 1913, 700, 5819, 1399, 267, 667, 14280, 267, 21727, 267, 8682, 1652, 6796, 267, 27254, 267, 6715, 31772, 267, 543, 9608, 595, 5971, 1611, 269, 1403, 596, 11963, 856, 5718, 607, 700, 11403, 17239, 7709, 267, 1142, 835, 540, 1346, 5022, 28542, 856, 519, 8136, 2418, 281, 700, 5819, 1399, 267, 667, 14280, 267, 21727, 267, 8682, 1652, 3028, 267, 27254, 267, 6715, 31772, 267, 543, 9608, 10100, 7868, 8136, 814, 2141, 1185, 2418, 267, 6580, 1394, 547, 31578, 13153, 6008, 889, 523, 693, 9503, 1280, 613, 538, 476, 10082, 279, 950, 646, 3964, 1346, 10305, 543, 7592, 602, 606, 715, 4596, 1058, 723, 11482, 5819, 1399, 568, 547, 968, 289, 792, 3020, 5132, 543, 14336, 4800, 547, 519, 772, 269, 11156, 267, 519, 8136, 267, 543, 824, 7980, 1848, 645, 8960, 3020, 5132, 543, 14336, 4800, 568, 18468, 538, 543, 1821, 7627, 3054, 547, 1945, 610, 2576, 269, 2414, 581, 513, 10121, 22307, 1512, 568, 547, 1489, 519, 5718, 543, 3972, 519, 3527, 789, 1491, 607, 3401, 269, 22307, 1512, 5020, 4438, 634, 6406, 2782, 634, 3786, 1272, 585, 513, 17199, 729, 15991, 835, 547, 3267, 17730, 3972, 786, 5512, 513, 17199, 547, 1020, 14017, 538, 741, 1770, 543, 741, 5832, 540, 4971, 20216, 680, 1622, 700, 5819, 1399, 568, 3989, 607, 267, 968, 23322, 1242, 676, 610, 6029, 5132, 6888, 547, 19647, 267, 642, 3298, 267, 14336, 4800, 267, 13800, 267, 3092, 1848, 12462, 299, 5819, 1399, 5608, 476, 1001, 273, 267, 533, 269, 1879, 596, 6443, 519, 4108, 596, 1491, 606, 522, 987, 543, 2220, 792, 602, 596, 786, 7703, 3020, 5132, 543, 14336, 4800, 547, 707, 2197, 267, 519, 5518, 540, 519, 2136, 2276, 267, 543, 519, 10492, 12912, 936, 596, 269, 0, 763, 1699, 3621, 2090, 616, 11589, 602, 519, 1292, 1267, 538, 540, 17163, 23927, 547, 5739, 11955, 568, 25189, 676, 9001, 519, 9907, 6752, 539, 1259, 540, 26349, 519, 19271, 1818, 946, 540, 519, 11149, 269, 12769, 31531, 519, 19271, 666, 581, 20399, 811, 602, 666, 1291, 547, 519, 24694, 543, 21383, 720, 269, 1403, 891, 24694, 610, 21383, 720, 568, 711, 4362, 3533, 789, 8764, 622, 519, 1604, 3833, 24847, 543, 666, 581, 5906, 547, 519, 4600, 945, 616, 8647, 538, 891, 2949, 1072, 2126, 4559, 621, 568, 849, 14686, 585, 519, 7218, 945, 616, 8391, 11257, 538, 891, 3782, 3906, 563, 763, 15053, 995, 11955, 616, 3351, 2213, 607, 513, 2596, 12146, 538, 513, 2603, 540, 3811, 11955, 799, 616, 14475, 538, 891, 4213, 269, 634, 4600, 945, 616, 5665, 538, 519, 1134, 1373, 2126, 3631, 723, 9505, 16133, 609, 891, 20715, 6527, 602, 779, 1946, 789, 616, 538, 2484, 811, 3463, 982, 24455, 3116, 1813, 547, 519, 1249, 789, 5631, 2709, 609, 891, 6527, 269, 634, 1849, 2216, 26435, 10684, 18734, 15733, 616, 519, 1034, 11327, 4559, 799, 616, 16887, 3812, 585, 519, 2596, 3106, 585, 519, 10986, 945, 616, 2324, 609, 891, 6527, 666, 4389, 519, 12178, 540, 1401, 1842, 999, 547, 667, 836, 2730, 5061, 269, 901, 4480, 3091, 2347, 4027, 585, 519, 5520, 543, 16984, 945, 1685, 538, 4483, 540, 6527, 543, 10411, 3191, 269, 634, 1744, 583, 3590, 10684, 18734, 15733, 814, 9505, 19970, 1115, 602, 666, 27464, 2312, 540, 23139, 21383, 720, 610, 24694, 2429, 7245, 4859, 267, 3075, 4058, 267, 3892, 267, 6283, 267, 3653, 3797, 543, 12871, 563, 2467, 616, 4179, 2517, 14075, 529, 1633, 5793, 6761, 2593, 7933, 564, 2135, 270, 6918, 545, 617, 821, 268, 5417, 2109, 270, 540, 1744, 583, 5358, 10684, 18734, 20905, 616, 6035, 538, 519, 2344, 269, 1452, 19269, 616, 3833, 2500, 538, 9013, 519, 25354, 540, 1401, 1842, 999, 547, 15053, 995, 5061, 269, 1452, 4559, 723, 9505, 11149, 543, 9126, 3489, 5370, 585, 519, 1981, 6954, 5478, 267, 4483, 543, 7245, 540, 20715, 2156, 24329, 563, 2975, 308, 6481, 4480, 814, 2966, 4027, 3937, 543, 1572, 607, 2637, 773, 269, 2637, 773, 568, 513, 9505, 267, 642, 658, 14092, 947, 2225, 1062, 602, 23366, 20383, 519, 642, 658, 2566, 269, 9406, 1310, 2921, 519, 1898, 2179, 540, 3075, 689, 519, 11480, 519, 17891, 23366, 21040, 543, 519, 3196, 568, 7059, 269, 4033, 3106, 2472, 568, 849, 9944, 1353, 543, 3833, 4166, 621, 786, 581, 2919, 543, 5189, 1354, 1279, 538, 519, 19458, 269, 0, 2414, 2307, 519, 14199, 540, 3557, 585, 5113, 267, 5253, 543, 22798, 16457, 1018, 4879, 646, 814, 1500, 540, 519, 1198, 593, 630, 320, 264, 519, 1604, 267, 630, 321, 264, 2777, 5777, 543, 630, 322, 264, 519, 2298, 540, 1272, 540, 9808, 9535, 563, 763, 9576, 5980, 543, 519, 9576, 9142, 540, 7177, 781, 1867, 968, 4537, 1446, 13937, 6987, 3555, 538, 519, 5177, 281, 513, 2689, 540, 17453, 5762, 1005, 5608, 3370, 538, 4873, 476, 1001, 273, 267, 11943, 602, 2825, 630, 663, 1072, 543, 3106, 264, 4220, 2404, 609, 17453, 5762, 1005, 1223, 581, 7307, 3927, 538, 519, 5177, 968, 553, 1279, 607, 10512, 1655, 2853, 616, 8045, 543, 24451, 998, 7939, 9731, 763, 6554, 568, 4867, 17265, 519, 5222, 540, 1648, 5989, 267, 1519, 32549, 3154, 10868, 267, 593, 519, 1604, 543, 519, 6917, 4346, 269, 901, 2882, 2360, 593, 2011, 2298, 267, 9265, 267, 8511, 9362, 267, 1072, 267, 2244, 946, 267, 2199, 1604, 2298, 267, 3653, 543, 1216, 269, 1306, 851, 540, 519, 2689, 267, 667, 9128, 6938, 814, 20827, 1382, 9236, 519, 2360, 799, 1114, 2010, 540, 1648, 5989, 949, 723, 593, 2777, 5777, 269, 898, 568, 4397, 602, 519, 2164, 540, 713, 2079, 786, 581, 3370, 2663, 713, 1032, 563, 763, 1764, 593, 2298, 540, 1272, 568, 2808, 607, 851, 540, 519, 2199, 4058, 1184, 269, 0, 6701, 596, 5461, 538, 1018, 568, 519, 6935, 1063, 3621, 6436, 543, 4641, 286, 3657, 596, 8049, 827, 875, 3621, 7744, 13333, 610, 1018, 568, 519, 1292, 22449, 28203, 540, 1169, 3621, 23221, 888, 4322, 616, 2152, 7282, 519, 13210, 540, 2257, 602, 729, 5631, 513, 6161, 540, 519, 10952, 6908, 540, 8298, 673, 2506, 2869, 545, 626, 610, 623, 21627, 643, 1235, 538, 519, 476, 736, 628, 2540, 543, 729, 519, 3490, 540, 519, 11944, 540, 519, 6138, 540, 2257, 538, 2489, 563, 763, 1576, 786, 5659, 519, 1739, 3584, 912, 268, 763, 6935, 540, 1893, 543, 4641, 454, 268, 634, 6935, 1063, 8343, 543, 3069, 5250, 454, 268, 763, 954, 21975, 540, 1757, 566, 543, 15632, 454, 268, 763, 14169, 540, 5274, 25705, 454, 268, 763, 2079, 540, 2093, 547, 10444, 24221, 281, 2241, 2093, 543, 1950, 2093, 543, 875, 789, 616, 4646, 689, 8343, 454, 268, 763, 1966, 540, 15632, 454, 268, 634, 4879, 540, 519, 5168, 610, 535, 1023, 640, 540, 10991, 3981, 1431, 454, 268, 763, 31602, 7744, 454, 268, 763, 9295, 540, 6138, 547, 519, 5748, 540, 2257, 454, 268, 763, 7453, 12170, 18879, 2509, 1893, 543, 922, 2035, 585, 519, 5250, 540, 6436, 454, 268, 763, 2357, 604, 6636, 6240, 454, 268, 763, 21205, 540, 2357, 604, 6636, 454, 268, 1692, 6101, 2409, 6766, 519, 8298, 673, 623, 21627, 643, 1235, 454, 9827, 267, 519, 1739, 2055, 786, 581, 8268, 912, 268, 1215, 8343, 3889, 938, 3621, 6436, 888, 268, 1692, 1757, 566, 568, 1644, 547, 3621, 7744, 454, 2914, 1002, 568, 519, 1966, 540, 15632, 543, 922, 6935, 547, 21465, 7744, 888, 268, 1432, 616, 25107, 3981, 1431, 888, 268, 1432, 616, 10991, 3981, 1431, 888, 268, 1548, 616, 10991, 513, 1991, 328, 3981, 1431, 543, 875, 789, 616, 1644, 547, 1995, 543, 8343, 888, 268, 4208, 6436, 1590, 4096, 593, 8343, 888, 2914, 1506, 25107, 3981, 1431, 616, 8209, 3020, 454, 23744, 267, 713, 1576, 786, 581, 1759, 593, 519, 13250, 540, 2093, 602, 8507, 538, 519, 11944, 540, 519, 10952, 3350, 540, 8298, 673, 10686, 6291, 543, 741, 4145, 827, 519, 13210, 540, 2257, 543, 922, 19862, 540, 3621, 6436, 454, 4415, 713, 1576, 267, 596, 786, 581, 2111, 547, 1174, 519, 1292, 2152, 1472, 519, 6138, 540, 2257, 2221, 543, 1118, 596, 5827, 540, 1210, 519, 1292, 10952, 2093, 540, 519, 6138, 540, 2257, 543, 25107, 6138, 547, 15052, 883, 2417, 2079, 543, 1382, 540, 519, 13210, 540, 2257, 585, 1346, 945, 616, 5461, 269, 634, 16610, 540, 1757, 566, 543, 875, 621, 568, 1644, 547, 3621, 23221, 786, 581, 9916, 269, 519, 6935, 1063, 519, 1893, 543, 4641, 786, 581, 540, 1292, 2079, 607, 856, 540, 713, 6935, 3621, 6436, 616, 9112, 543, 11295, 454, 2171, 786, 7747, 875, 3703, 10686, 6291, 781, 2093, 941, 23699, 676, 519, 8298, 673, 623, 21627, 643, 1235, 282, 875, 519, 2093, 540, 1955, 28609, 23006, 543, 519, 7835, 540, 519, 6101, 2409, 1369, 519, 10952, 14985, 540, 8298, 6291, 8507, 538, 519, 5137, 540, 513, 7453, 12170, 1893, 602, 814, 1312, 6101, 2934, 543, 12170, 3283, 543, 1031, 585, 519, 2079, 540, 3621, 3981, 1431, 563, 1607, 1576, 568, 5078, 585, 15938, 543, 18544, 1053, 540, 6138, 267, 3744, 945, 1616, 547, 2263, 519, 10952, 5717, 1472, 519, 2152, 7282, 519, 5748, 540, 2257, 607, 1134, 607, 14987, 609, 513, 2370, 1702, 540, 6138, 602, 1616, 547, 2263, 875, 6138, 666, 1523, 1302, 3565, 547, 519, 5748, 540, 3621, 23221, 543, 12191, 269, 0, 10112, 612, 539, 4247, 971, 607, 1576, 10467, 267, 3450, 2259, 7422, 543, 15645, 730, 11042, 616, 851, 543, 1612, 4897, 540, 782, 3355, 2866, 6030, 971, 607, 519, 595, 5085, 14011, 543, 12501, 307, 2464, 5357, 269, 1717, 267, 519, 2081, 538, 799, 4879, 568, 5645, 856, 949, 8428, 4470, 593, 519, 1576, 543, 1256, 519, 4099, 1141, 519, 1576, 568, 4371, 563, 23871, 6541, 5441, 5507, 538, 1880, 7512, 1576, 7426, 547, 3446, 12290, 960, 2687, 547, 519, 1826, 540, 1576, 799, 8255, 693, 1808, 18013, 267, 3842, 2312, 543, 6662, 21249, 7355, 282, 8638, 540, 519, 1883, 2609, 540, 606, 12290, 4062, 540, 960, 799, 666, 581, 11117, 547, 1397, 27466, 324 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16509, 267, 543, 26814, 269, 1879, 596, 2490, 707, 1883, 610, 7903, 707, 7735, 547, 1376, 707, 1286, 267, 606, 3167, 1699, 10596, 998, 891, 3334, 799, 3123, 873, 547, 8095, 6385, 563, 1607, 5163, 5932, 2614, 3196, 547, 4497, 513, 10591, 538, 519, 8038, 20253, 601, 799, 7140, 936, 519, 1835, 3471, 3873, 1111, 540, 707, 2599, 27510, 13674, 543, 4358, 909, 707, 6174, 779, 4835, 13674, 1062, 269, 634, 6988, 540, 713, 1184, 3340, 4359, 4702, 865, 602, 782, 2694, 616, 5265, 13988, 950, 789, 2170, 609, 1142, 824, 1282, 27307, 282, 6382, 267, 4358, 1131, 1831, 2352, 952, 711, 7543, 563, 12234, 267, 2413, 6517, 1419, 723, 1896, 3606, 3106, 2934, 971, 607, 882, 904, 610, 1151, 523, 6950, 8704, 1063, 741, 26784, 543, 9075, 602, 948, 2149, 1996, 23139, 3441, 1813, 547, 7050, 6453, 15088, 610, 2110, 2275, 1844, 340, 1746, 2175, 3361, 676, 12816, 12904, 610, 25768, 4296, 563, 19119, 540, 853, 6621, 7763, 832, 454, 763, 25690, 5179, 4249, 606, 7533, 1909, 538, 513, 6174, 779, 27307, 1062, 269, 898, 568, 519, 5057, 602, 7620, 5036, 519, 2599, 538, 5163, 267, 3850, 10256, 547, 1379, 909, 741, 6517, 543, 5734, 519, 4155, 563, 763, 2640, 540, 2348, 513, 25690, 5179, 616, 3875, 282, 689, 3246, 6325, 4358, 1379, 547, 4227, 5957, 593, 824, 3334, 267, 1934, 616, 930, 540, 519, 1883, 5383, 912, 268, 20865, 4039, 6636, 281, 853, 6621, 16546, 1683, 5812, 543, 6325, 4358, 1379, 942, 1310, 942, 267, 1818, 873, 5458, 569, 6225, 585, 4948, 6117, 7653, 269, 901, 23352, 1022, 1761, 14331, 3361, 676, 17528, 547, 1376, 707, 1286, 1813, 547, 1970, 6007, 610, 4666, 3124, 1807, 2152, 563, 268, 25841, 23203, 1299, 570, 792, 281, 1306, 1134, 607, 5355, 10727, 267, 25690, 16546, 849, 948, 2569, 5957, 593, 824, 3334, 538, 513, 6174, 779, 27307, 1062, 1107, 971, 607, 8141, 11690, 338, 543, 2733, 12460, 11503, 1107, 676, 2921, 936, 1034, 540, 519, 2182, 960, 540, 3478, 707, 1286, 3323, 1142, 1554, 563, 268, 8779, 14205, 902, 281, 1635, 4180, 602, 782, 2694, 1369, 606, 27307, 1062, 616, 5665, 5688, 958, 609, 8766, 2566, 1373, 5116, 2390, 873, 267, 596, 666, 4688, 2724, 593, 14427, 18203, 1524, 519, 1899, 1107, 1945, 799, 568, 2523, 6225, 950, 621, 2501, 547, 4587, 6472, 609, 1164, 28902, 720, 9817, 2336, 763, 25690, 5179, 4249, 606, 7533, 1909, 538, 6174, 27307, 1949, 269, 898, 568, 3743, 585, 3246, 519, 3355, 16802, 540, 1648, 2877, 547, 1376, 513, 6174, 2599, 543, 814, 1044, 1031, 5051, 2094, 922, 4367, 538, 476, 4489, 273, 563, 1805, 6621, 16546, 616, 5827, 540, 6721, 3608, 543, 6325, 1379, 3977, 1247, 10438, 8766, 5666, 540, 5201, 267, 1818, 873, 4998, 3334, 585, 2413, 6472, 269, 2060, 8441, 538, 2029, 267, 25690, 16546, 3136, 547, 581, 4824, 2390, 543, 2611, 4105, 3334, 585, 1022, 1286, 610, 14903, 609, 606, 4835, 13674, 2599, 563, 763, 2956, 540, 891, 3457, 3112, 581, 936, 26061, 607, 741, 1697, 8647, 5849, 602, 6472, 666, 1376, 1510, 3111, 1142, 942, 789, 616, 13234, 269, 0, 4462, 557, 4979, 10815, 518, 8153, 18266, 338, 6168, 7909, 25968, 667, 20462, 1231, 281, 634, 2037, 31008, 618, 540, 7402, 3300, 454, 763, 7909, 25968, 667, 20462, 514, 267, 849, 1634, 607, 519, 4457, 6519, 667, 20462, 514, 610, 519, 21475, 6261, 6680, 670, 2794, 3724, 667, 20462, 514, 267, 568, 513, 4241, 7286, 13442, 602, 7380, 919, 519, 12271, 540, 1082, 269, 901, 2376, 6663, 547, 8774, 1769, 593, 519, 14758, 8153, 5013, 827, 891, 15999, 23522, 267, 18167, 883, 519, 4128, 1946, 1004, 1032, 333, 585, 513, 2582, 7237, 609, 891, 22539, 7919, 563, 4322, 30811, 23522, 616, 5065, 547, 519, 7297, 540, 14913, 5607, 267, 4481, 519, 23421, 5211, 18647, 267, 15173, 15158, 267, 543, 519, 7297, 4478, 3624, 543, 15990, 269, 19612, 585, 741, 7524, 11909, 27280, 267, 789, 8858, 513, 9159, 543, 3982, 5920, 602, 5036, 873, 6306, 689, 824, 18107, 514, 2249, 563, 3080, 540, 519, 1034, 10578, 3344, 540, 519, 7909, 25968, 667, 20462, 1231, 568, 741, 32442, 269, 634, 3982, 11909, 12094, 568, 513, 1267, 540, 519, 23522, 685, 1973, 8043, 4092, 1175, 2630, 741, 2960, 779, 2627, 269, 1306, 1769, 9356, 1055, 891, 1973, 8043, 267, 621, 5932, 513, 30811, 11909, 16657, 267, 1818, 891, 23522, 513, 5963, 7415, 8289, 547, 1531, 1245, 269, 901, 2189, 8984, 814, 17275, 10373, 1719, 1851, 3173, 267, 2470, 12439, 267, 543, 2043, 5275, 513, 12300, 1995, 609, 891, 9058, 7068, 563, 30509, 689, 741, 9159, 5920, 267, 519, 7909, 25968, 667, 20462, 1231, 4865, 513, 2039, 540, 7415, 7592, 543, 5615, 269, 1358, 616, 3810, 10995, 7068, 267, 1634, 585, 741, 4359, 2792, 1983, 543, 1514, 2623, 269, 1452, 23522, 8858, 513, 1950, 1514, 2497, 267, 2713, 538, 9395, 10275, 27848, 1920, 2516, 1572, 10540, 338, 269, 10738, 891, 10540, 338, 267, 789, 4497, 538, 1585, 2238, 971, 607, 10122, 267, 4730, 267, 543, 12391, 585, 741, 1762, 269, 634, 7554, 4646, 1369, 891, 18107, 514, 2950, 616, 11212, 2178, 267, 10452, 741, 2620, 1514, 4296, 563, 13010, 267, 519, 7909, 25968, 667, 20462, 1231, 4865, 11108, 10977, 7207, 267, 24672, 1350, 4575, 998, 519, 1216, 609, 11419, 543, 22231, 269, 4256, 29765, 4703, 543, 3532, 21217, 1450, 873, 547, 6330, 519, 5836, 17909, 609, 7415, 8897, 269, 1452, 23522, 616, 849, 1634, 585, 741, 1035, 13681, 1738, 10525, 267, 4749, 682, 12686, 856, 540, 519, 1216, 543, 7900, 19666, 25224, 338, 602, 4734, 593, 19972, 619, 538, 25713, 563, 763, 4644, 540, 25884, 606, 7909, 25968, 667, 20462, 514, 4422, 3564, 922, 6071, 3308, 27559, 269, 3509, 2043, 3343, 856, 713, 9058, 1995, 547, 2744, 513, 4514, 7071, 585, 519, 2067, 1158, 543, 922, 13300, 269, 634, 7237, 609, 891, 15999, 7068, 666, 18427, 513, 2631, 540, 4276, 547, 2470, 267, 22348, 721, 540, 519, 5898, 543, 4763, 602, 6818, 1369, 938, 12084, 269, 898, 5713, 607, 513, 1093, 17257, 12576, 540, 519, 991, 547, 2149, 543, 8190, 891, 17866, 8134, 543, 519, 6909, 2249, 602, 1289, 873, 1753, 563, 2690, 1346, 26752, 2614, 547, 7198, 519, 5898, 540, 7909, 25968, 667, 20462, 1231, 20250, 267, 519, 7237, 1419, 3762, 513, 9434, 12705, 269, 634, 9059, 540, 11287, 891, 23522, 538, 741, 2067, 7226, 568, 606, 1995, 602, 19388, 619, 538, 519, 3965, 267, 5356, 513, 2631, 540, 25713, 543, 27527, 585, 519, 2261, 12069, 540, 519, 2067, 1158, 563, 763, 7909, 25968, 667, 20462, 1231, 267, 609, 741, 25713, 15564, 25378, 11909, 27280, 543, 7415, 4162, 267, 3136, 547, 25407, 519, 4337, 5209, 540, 1004, 5001, 269, 4256, 2189, 5920, 267, 1514, 2623, 267, 543, 11108, 10977, 5759, 1118, 873, 513, 3020, 4898, 540, 519, 5836, 269, 7402, 3300, 532, 891, 22539, 7919, 711, 1152, 2488, 513, 19214, 883, 741, 1158, 855, 849, 1128, 1571, 513, 7096, 7071, 585, 519, 13300, 540, 2470, 269, 1306, 649, 11441, 547, 2149, 938, 4541, 779, 8134, 267, 8497, 519, 9249, 540, 891, 30811, 23522, 3587, 14063, 267, 4180, 602, 2104, 5481, 666, 849, 1995, 519, 22406, 10508, 540, 25884, 891, 9058, 7068, 269, 0, 9596, 543, 2263, 519, 2257, 3297, 14324, 29777, 609, 713, 2241, 2534, 602, 3322, 1100, 6464, 543, 1100, 3190, 563, 3080, 5140, 4480, 585, 5355, 707, 6863, 568, 547, 1451, 19655, 543, 1884, 11618, 1927, 563, 8867, 2378, 7206, 568, 606, 5863, 1259, 547, 1577, 707, 1126, 779, 5876, 2097, 856, 538, 1106, 540, 1148, 1247, 1210, 5862, 1962, 16640, 602, 3986, 741, 5386, 5179, 1983, 269, 901, 2534, 15983, 2501, 909, 609, 3773, 22429, 607, 1453, 991, 547, 1491, 513, 2470, 3802, 547, 2445, 15468, 3762, 540, 1114, 7306, 543, 5546, 267, 1287, 2132, 1753, 543, 946, 873, 547, 1711, 4190, 1148, 563, 13014, 713, 2653, 543, 20036, 536, 22324, 693, 1753, 609, 1688, 21646, 269, 2480, 19538, 543, 15437, 616, 2386, 547, 2087, 1082, 1983, 540, 707, 4819, 281, 3308, 2173, 19318, 1983, 267, 3750, 11804, 11558, 267, 543, 5386, 5179, 1983, 1175, 547, 2012, 513, 1906, 563, 1607, 2534, 786, 948, 2087, 707, 1126, 779, 5179, 1983, 543, 1688, 3562, 31378, 11558, 563, 1607, 2534, 786, 3986, 707, 1126, 781, 5179, 543, 22423, 1983, 563, 1607, 3014, 786, 2087, 741, 3206, 2702, 269, 901, 3014, 849, 6770, 609, 621, 513, 2603, 540, 1187, 563, 2080, 616, 3579, 2093, 267, 4819, 781, 2238, 2622, 27657, 4303, 630, 2641, 560, 8734, 1916, 1607, 2534, 786, 3986, 707, 1126, 781, 9345, 543, 2333, 741, 1620, 827, 1554, 547, 1554, 2833, 269, 901, 2534, 786, 849, 1118, 707, 1126, 3398, 1004, 689, 782, 6791, 269, 0, 3674, 28246, 1744, 1077, 532, 513, 6178, 540, 12870, 286, 5700, 1548, 547, 1684, 2336, 12831, 1833, 568, 513, 1950, 543, 3978, 2790, 1072, 4524, 602, 666, 8915, 538, 1585, 3029, 543, 2010, 267, 12018, 1585, 3344, 540, 707, 1272, 543, 1072, 269, 2290, 540, 1346, 3344, 568, 707, 2123, 9882, 1107, 9811, 267, 596, 1224, 621, 1318, 1107, 4965, 666, 3409, 707, 1259, 540, 4509, 707, 9882, 563, 4407, 930, 1004, 609, 4965, 1265, 621, 2182, 547, 2226, 1434, 9882, 267, 1866, 1397, 7050, 17643, 532, 607, 513, 1259, 540, 11589, 741, 6418, 3929, 24187, 269, 11565, 803, 267, 607, 2576, 945, 1869, 2833, 14501, 540, 4965, 267, 621, 666, 581, 2182, 547, 2347, 519, 2596, 26050, 899, 3478, 856, 540, 5127, 267, 4189, 267, 543, 1256, 12008, 267, 865, 594, 1205, 1141, 596, 2097, 689, 269, 1403, 596, 6560, 609, 513, 3668, 540, 2123, 9882, 610, 1107, 1134, 267, 7050, 1416, 827, 707, 9882, 1107, 596, 2461, 711, 4805, 563, 1103, 713, 2376, 267, 649, 2461, 3695, 519, 4128, 1946, 7050, 17643, 532, 666, 581, 513, 1129, 540, 4965, 543, 519, 2081, 596, 666, 2226, 1434, 9882, 950, 596, 2461, 20158, 563, 3963, 6496, 28246, 1744, 1077, 532, 19732, 523, 1879, 3493, 5962, 888, 2005, 568, 2009, 547, 581, 18930, 539, 609, 9882, 950, 596, 2461, 10010, 609, 4057, 2790, 1072, 269, 17148, 899, 24753, 1107, 30442, 16327, 14601, 4524, 1107, 543, 4965, 666, 1860, 875, 596, 1416, 585, 3054, 269, 3371, 616, 930, 1455, 4128, 1946, 7050, 17643, 532, 666, 581, 606, 13525, 540, 4965, 3248, 268, 898, 779, 513, 1259, 540, 9101, 269, 1280, 1004, 945, 6560, 609, 4965, 267, 513, 1279, 267, 3636, 17643, 666, 1831, 513, 1259, 540, 9101, 689, 519, 11566, 2942, 4664, 789, 1995, 269, 634, 14815, 540, 3905, 1216, 1996, 741, 2960, 666, 581, 513, 10151, 8323, 689, 1928, 267, 3056, 873, 547, 1413, 693, 17643, 532, 607, 513, 12003, 7271, 563, 268, 898, 779, 513, 1259, 547, 1852, 741, 2729, 269, 1280, 930, 1004, 267, 4965, 666, 1491, 2476, 741, 2631, 540, 1852, 936, 741, 2729, 269, 769, 4334, 267, 4509, 2123, 9882, 666, 1683, 513, 1507, 2631, 540, 22920, 543, 1852, 269, 28246, 17643, 532, 949, 581, 513, 1259, 547, 22919, 930, 1852, 1141, 789, 1745, 856, 540, 1852, 6382, 563, 268, 898, 779, 513, 1259, 547, 20920, 609, 4606, 540, 10072, 269, 12870, 666, 849, 2014, 1514, 15639, 543, 1582, 28104, 15684, 269, 1879, 1004, 2057, 1514, 4205, 267, 789, 949, 849, 10714, 2123, 9882, 269, 28246, 17643, 532, 666, 581, 513, 1259, 547, 25559, 4606, 540, 10072, 563, 3963, 24367, 30719, 568, 10434, 518, 1879, 3493, 5962, 888, 2252, 596, 2461, 835, 540, 1346, 1004, 945, 1265, 2933, 9361, 538, 519, 17643, 585, 3108, 593, 1439, 543, 1869, 1373, 8572, 547, 2226, 1434, 2123, 9882, 267, 1287, 891, 1223, 581, 930, 2188, 3248, 268, 19768, 540, 6052, 281, 2290, 540, 519, 2589, 540, 4965, 568, 3665, 9854, 269, 1403, 596, 2661, 609, 4965, 267, 1287, 596, 949, 1419, 6560, 547, 723, 519, 1648, 2877, 585, 2596, 1582, 13282, 13467, 267, 971, 607, 17643, 532, 267, 17678, 707, 4522, 267, 3092, 563, 268, 20134, 32438, 281, 12870, 666, 849, 1253, 677, 707, 3206, 543, 1582, 12656, 4003, 267, 3056, 547, 4606, 540, 4502, 16531, 543, 1582, 268, 1002, 1042, 269, 901, 2942, 3206, 666, 1267, 538, 513, 1970, 2631, 540, 1582, 2914, 2180, 267, 1818, 2123, 9882, 3100, 796, 28695, 563, 268, 15465, 12983, 281, 12870, 666, 10556, 707, 5042, 3252, 971, 607, 5834, 543, 1256, 3965, 269, 901, 3390, 666, 1291, 547, 7340, 6888, 538, 2921, 1416, 540, 707, 9882, 610, 606, 17418, 547, 1445, 593, 1582, 13282, 563, 6701, 1703, 17121, 12186, 540, 28246, 1744, 1077, 532, 888, 2791 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1257, 12116, 519, 2189, 2115, 540, 519, 3395, 2551, 540, 2296, 1893, 6267, 630, 21822, 338, 264, 543, 6257, 2994, 585, 791, 548, 5443, 2483, 3528, 17755, 3863, 6953, 650, 4065, 454, 6756, 281, 476, 7818, 23669, 7785, 32579, 274, 267, 568, 16818, 281, 476, 23669, 7785, 32579, 277, 2676, 8196, 5678, 585, 5675, 547, 1291, 707, 1053, 4724, 7115, 607, 5830, 269, 901, 14469, 543, 7269, 540, 5940, 541, 5678, 8633, 11414, 711, 1152, 1603, 1983, 267, 855, 849, 519, 6863, 267, 4845, 267, 543, 10721, 1983, 602, 20690, 1434, 1603, 2483, 3528, 22489, 31890, 5177, 454, 6756, 281, 476, 7818, 1822, 279, 2641, 11740, 273, 267, 568, 16818, 281, 476, 1822, 279, 2641, 11740, 278, 2676, 24309, 609, 513, 2039, 540, 3486, 8658, 538, 2247, 267, 713, 3810, 8465, 267, 476, 277, 7400, 1576, 2488, 3795, 540, 519, 11062, 12729, 2296, 607, 513, 5822, 5678, 21038, 269, 3117, 12371, 540, 606, 13267, 267, 12139, 2511, 9906, 3883, 267, 3573, 4518, 1504, 2483, 3528, 5839, 17524, 534, 270, 18250, 294, 3863, 6953, 650, 3427, 6555, 454, 6756, 281, 476, 7818, 16573, 28192, 277, 4649, 271, 267, 568, 16818, 281, 476, 16573, 28192, 277, 4649, 280, 2676, 18250, 294, 3863, 10830, 5678, 8551, 6103, 476, 277, 2483, 12921, 340, 281, 681, 296, 4962, 268, 4037, 276, 272, 318, 16573, 2735, 279, 1556, 271, 267, 552, 534, 281, 476, 7818, 16573, 2735, 279, 1556, 273, 267, 568, 16818, 281, 476, 16573, 2735, 279, 1556, 271, 2676, 8777, 1645, 9906, 7734, 22365, 4403, 1912, 9582, 543, 6478, 19019, 19601, 3528, 8845, 674, 2803, 2006, 454, 6756, 281, 476, 7818, 271, 4343, 18597, 15757, 273, 267, 568, 16818, 281, 476, 271, 4343, 18597, 15757, 280, 2676, 288, 3119, 1153, 2875, 2069, 1837, 2807, 0, 1432, 568, 6880, 13062, 830, 286, 24426, 828, 13062, 830, 568, 606, 3390, 799, 5222, 519, 2729, 540, 1082, 26880, 269, 1323, 1367, 2165, 1957, 630, 1575, 547, 476, 4968, 271, 2262, 264, 589, 3803, 12152, 1557, 630, 1575, 269, 901, 476, 273, 268, 275, 2985, 1557, 630, 6518, 849, 1568, 607, 519, 1101, 8908, 540, 519, 3803, 2165, 1957, 269, 23426, 519, 2104, 540, 2564, 1382, 269, 681, 13263, 814, 5342, 1382, 547, 2268, 543, 2333, 1620, 540, 519, 1764, 540, 6880, 13062, 830, 593, 4213, 543, 563, 13202, 476, 736, 267, 476, 1001, 276, 269, 15536, 13062, 830, 281, 519, 637, 1932, 1454, 540, 621, 267, 543, 649, 991, 547, 4487, 5098, 2852, 540, 21570, 811, 547, 15658, 621, 269, 9484, 476, 736, 267, 476, 1001, 279, 269, 1284, 723, 10356, 519, 1655, 7803, 5126, 1382, 3584, 602, 786, 948, 596, 563, 763, 1445, 540, 589, 297, 290, 297, 568, 593, 513, 2647, 5044, 540, 7803, 5126, 3584, 543, 2152, 269, 5131, 6880, 6760, 4574, 267, 3594, 267, 543, 1382, 4574, 563, 10932, 11762, 3561, 4395, 2985, 269, 15536, 4211, 31870, 6513, 267, 10644, 543, 27148, 589, 12854, 3194, 1160, 27760, 4427, 4784, 547, 269, 901, 1382, 1957, 6663, 547, 1865, 1739, 3344, 540, 15536, 13062, 1307, 281, 519, 4214, 267, 1946, 789, 2049, 267, 4031, 12044, 873, 267, 2409, 540, 22867, 6880, 13062, 1307, 269, 15536, 17235, 267, 8177, 540, 15536, 10963, 538, 519, 1483, 1158, 267, 2717, 6005, 15536, 2230, 269, 4427, 18285, 547, 634, 7284, 24939, 15348, 6880, 13062, 830, 2165, 1957, 3584, 8889, 11545, 267, 513, 5180, 1575, 6880, 13062, 830, 2165, 1957, 3584, 2093, 6880, 13062, 830, 2165, 1957, 3584, 563, 10932, 1283, 30241, 7172, 4115, 5498, 21124, 1382, 3584, 593, 595, 3234, 11659, 543, 17235, 689, 519, 2372, 652, 807, 2228, 5399, 267, 1519, 2407, 17856, 2228, 2835, 267, 4081, 13746, 269, 15536, 13062, 830, 3217, 1082, 3029, 267, 543, 621, 568, 4061, 2352, 547, 4339, 563, 310, 944, 325, 1557, 6735, 713, 1957, 267, 649, 20272, 519, 4162, 543, 11444, 540, 1883, 11051, 9087, 269, 8281, 15536, 13062, 830, 10644, 5358, 4828, 630, 4968, 274, 9293, 25631, 269, 5675, 513, 1382, 1957, 568, 606, 6880, 13062, 830, 2165, 1957, 3584, 5578, 634, 3209, 476, 2735, 275, 269, 5851, 3436, 3194, 7433, 11762, 3436, 4317, 28620, 540, 15536, 17235, 269, 589, 6519, 7433, 585, 17012, 577, 30583, 267, 13397, 839, 832, 267, 543, 11524, 563, 8133, 267, 4896, 945, 3096, 513, 2780, 814, 513, 4960, 540, 1373, 513, 6408, 540, 6880, 13062, 830, 269, 9484, 476, 1839, 267, 476, 1001, 274, 269, 5131, 4828, 281, 15536, 13062, 830, 476, 2767, 1299, 3397, 2908, 267, 476, 1220, 277, 15426, 634, 2165, 6880, 6760, 666, 581, 3989, 607, 6880, 13062, 830, 2165, 1957, 3584, 957, 8149, 610, 31360, 538, 18670, 540, 513, 1876, 269, 15536, 13062, 830, 667, 10308, 2742, 281, 1772, 621, 25792, 547, 2871, 5875, 2465, 5637, 8232, 543, 21041, 27085, 6206, 5999, 593, 15536, 7261, 344, 828, 13062, 830, 543, 15536, 11485, 15928, 269, 1879, 5769, 6880, 13062, 830, 2165, 1957, 3584, 606, 16832, 851, 540, 938, 1272, 267, 1981, 540, 4742, 513, 6408, 540, 3463, 267, 325, 571, 644, 610, 642, 663, 16117, 568, 865, 1164, 563, 20663, 6760, 5788, 23977, 1676, 1464, 5788, 661, 2314, 323, 549, 6137, 5689, 2264, 1975, 344, 2264, 269, 9947, 476, 1428, 267, 476, 1001, 277, 269, 21546, 26304, 9791, 14430, 267, 513, 1587, 540, 938, 3194, 10406, 267, 4125, 563, 763, 4015, 540, 3584, 585, 7156, 1369, 513, 3102, 1353, 593, 6880, 13062, 830, 269, 769, 713, 1957, 267, 2010, 540, 6880, 10963, 267, 15536, 13062, 830, 2165, 1957, 3584, 17235, 16473, 633, 21474, 267, 11115, 1143, 547, 7797, 269, 23745, 590, 269, 3584, 25864, 4988, 538, 29929, 1876, 1382, 267, 1247, 2469, 2047, 547, 519, 2295, 540, 29929, 269, 9484, 476, 2764, 267, 476, 1001, 276, 269, 476, 278, 2986, 634, 4107, 12830, 15536, 8232, 11762, 1411, 9701, 6258, 6168, 563, 12901, 328, 4211, 344, 828, 543, 6176, 744, 1653, 9197, 1307, 892, 1876, 269, 1284, 946, 519, 2165, 1883, 17076, 547, 3277, 547, 8468, 3755, 945, 723, 1044, 5532, 547, 563, 8196, 1390, 1557, 3732, 593, 713, 1888, 269, 4634, 607, 3549, 6108, 1283, 330, 14369, 593, 3354, 267, 9271, 1644, 547, 6880, 13062, 830, 723, 5176, 23060, 538, 519, 2063, 2947, 1296, 269, 7325, 476, 275, 267, 476, 1001, 274, 269, 540, 6880, 6339, 923, 945, 3989, 621, 607, 968, 320, 6101, 1436, 540, 519, 2093, 540, 642, 344, 828, 13062, 830, 269, 4985, 15536, 13062, 830, 2165, 1957, 3584, 616, 1100, 5730, 267, 6325, 2780, 6760, 1382, 1957, 563, 24426, 828, 17235, 4828, 11762, 269, 15536, 17235, 14484, 633, 2079, 540, 513, 2565, 10071, 11744, 8808, 1557, 585, 3194, 14430, 269, 6201, 269, 3194, 3584, 538, 547, 923, 6530, 269, 15536, 13062, 830, 538, 18310, 910, 6787, 610, 711, 13605, 2297, 324, 6880, 13062, 830, 2165, 1957, 3584, 3044, 2232, 269, 9747, 519, 20882, 585, 713, 1382, 1888, 269, 9293, 281, 476, 14093, 273, 20099, 281, 476, 275, 9664, 11657, 7392, 281, 4828, 7433, 1948, 281, 476, 14690, 278, 1704, 4037, 563, 1607, 1867, 2488, 513, 3102, 7650, 540, 519, 1034, 4143, 3584, 269, 5851, 3436, 3194, 7433, 11762, 3436, 8950, 6880, 13062, 830, 2165, 1957, 3584, 5769, 17235, 269, 634, 1883, 563, 1729, 1283, 643, 338, 267, 585, 519, 3483, 540, 713, 1957, 267, 513, 6880, 13062, 830, 267, 543, 547, 1174, 519, 1909, 676, 799, 519, 946, 540, 269, 2052, 4896, 945, 3096, 513, 2780, 581, 513, 6408, 547, 6880, 13062, 830, 286, 5131, 12910, 7433, 593, 15536, 13062, 830, 269, 15536, 13062, 830, 4340, 547, 513, 476, 1220, 280, 1353, 5342, 676, 519, 5062, 17682, 2465, 28456, 2754, 543, 13886, 968, 4462, 5913, 3293, 8859, 625, 15545, 15536, 13062, 830, 568, 513, 1888, 538, 799, 1857, 543, 269, 634, 13482, 593, 15536, 13062, 830, 568, 519, 1101, 543, 1152, 1617, 10561, 269, 0, 26108, 10552, 568, 513, 1560, 5714, 538, 3425, 543, 824, 2831, 602, 20205, 2556, 6878, 971, 607, 5567, 543, 5135, 547, 519, 2281, 543, 3560, 338, 10894, 3653, 2472, 2476, 689, 1346, 1482, 2281, 269, 769, 30900, 267, 621, 568, 7768, 540, 1973, 2281, 17735, 538, 1973, 11919, 269, 5522, 553, 2742, 267, 799, 13054, 4939, 540, 1973, 5714, 267, 568, 6140, 1216, 4939, 676, 4320, 2073, 543, 3568, 5946, 267, 7280, 267, 7777, 12274, 5851, 10552, 4750, 589, 12353, 25135, 14653, 540, 519, 29224, 2090, 689, 10552, 267, 519, 4013, 4760, 540, 519, 1977, 5980, 540, 12920, 26331, 6789, 295, 2073, 1688, 13603, 689, 1142, 3390, 676, 519, 15769, 267, 10552, 9855, 661, 743, 2354, 525, 936, 5840, 20050, 962, 518, 889, 850, 324, 8535, 589, 2407, 16264, 24256, 568, 513, 3787, 4686, 898, 521, 1572, 513, 1973, 7599, 1317, 1152, 519, 1102, 571, 2699, 6512, 540, 1769, 4991, 1472, 519, 3618, 543, 536, 25555, 1055, 519, 7599, 547, 581, 2938, 676, 721, 267, 1152, 538, 1978, 4025, 593, 519, 8608, 4470, 593, 519, 5086, 269, 4400, 10552, 16242, 12700, 524, 26501, 2859, 982, 2073, 1977, 7972, 538, 3769, 1164, 1973, 2604, 607, 513, 3119, 610, 7700, 2014, 2334, 568, 3592, 2073, 7972, 1142, 1554, 269, 4400, 1973, 2604, 4679, 707, 1981, 585, 5906, 1072, 2175, 3689, 2295, 4323, 6168, 540, 1169, 1004, 2348, 741, 1101, 2295, 4323, 723, 1164, 1973, 2604, 3689, 8482, 6168, 540, 1169, 1004, 2348, 741, 1101, 8482, 853, 3863, 11241, 634, 2622, 521, 2657, 5006, 16639, 1548, 521, 1715, 543, 5484, 1030, 2772, 6168, 853, 3863, 11241, 10765, 2090, 723, 8947, 519, 2698, 15934, 4390, 570, 3722, 540, 22229, 267, 711, 1152, 538, 6476, 609, 824, 5613, 267, 855, 849, 538, 6476, 609, 3536, 538, 824, 1426, 2516, 269, 3690, 889, 560, 656, 2747, 3690, 889, 560, 656, 2747, 5824, 1098, 11357, 560, 656, 9332, 1470, 5259, 1558, 748, 22719, 568, 267, 2687, 547, 519, 10752, 540, 519, 4936, 7826, 5783, 267, 519, 1689, 540, 6219, 610, 9759, 676, 799, 519, 3694, 543, 9174, 6035, 538, 519, 15093, 540, 519, 5485, 26963, 540, 519, 661, 1276, 30658, 1282, 519, 7136, 267, 1831, 267, 538, 4641, 267, 519, 1560, 543, 1973, 540, 4906, 2441, 269, 634, 4936, 7826, 5783, 11414, 602, 538, 519, 6936, 10552, 24722, 19534, 585, 519, 670, 19447, 10022, 634, 4013, 3896, 585, 6936, 10552, 593, 670, 19447, 267, 10023, 2407, 14501, 2228, 267, 11042, 267, 8430, 1344, 543, 12558, 10274, 269, 12920, 4405, 807, 10552, 538, 519, 7984, 710, 29484, 13391, 636, 631, 6185, 12920, 4405, 807, 568, 513, 4791, 2165, 13288, 547, 519, 4527, 540, 1973, 267, 4481, 2699, 1973, 2281, 267, 538, 519, 10729, 6787, 713, 1973, 568, 7298, 1152, 896, 513, 17209, 610, 1459, 538, 9424, 6190, 547, 581, 2938, 609, 519, 21736, 3750, 267, 22104, 22202, 568, 513, 1129, 602, 1945, 568, 4929, 9402, 11702, 538, 519, 3461, 521, 1024, 527, 712, 2435, 8778, 269, 13177, 27997, 14068, 10552, 10264, 918, 754, 4459, 19681, 541, 13334, 2904, 2073, 21145, 8535, 14576, 14068, 10552, 3816, 1460, 30310, 13177, 27997, 19536, 26425, 3724, 267, 7665, 9410, 267, 918, 754, 4459, 19681, 541, 267, 13177, 27997, 13397, 10234, 547, 13334, 676, 5851, 23244, 10552, 5213, 566, 19193, 547, 581, 513, 1973, 20033, 267, 2285, 1973, 543, 4688, 2729, 4855, 856, 827, 1973, 21856, 563, 10403, 3367, 1496, 13640, 534, 5436, 3883, 316, 7602, 510, 8307, 1635, 10552, 543, 22206, 1359, 281, 3204, 8724, 23452, 15213, 910, 589, 23397, 910, 676, 5487, 309, 1195, 5685, 32337, 7602, 510, 476, 1911, 5487, 309, 1195, 5685, 32337, 454, 17138, 281, 5131, 3367, 1496, 13640, 534, 5436, 3883, 316, 7602, 510, 8307, 1635, 10552, 543, 22206, 1359, 281, 3204, 8724, 23452, 15213, 910, 589, 23397, 910, 676, 5487, 309, 1195, 5685, 32337, 7602, 510, 0, 303, 4292, 584, 2213, 5144, 267, 519, 17646, 666, 543, 519, 26806, 616, 519, 1614, 1034, 1713, 18563, 538, 519, 1686, 540, 1426, 267, 2687, 547, 513, 3542, 540, 13747, 3744, 269, 4676, 3419, 3130, 568, 4867, 547, 6137, 519, 3542, 1373, 17298, 676, 519, 9576, 5980, 563, 7343, 30068, 5841, 12104, 3130, 729, 3812, 20749, 538, 476, 5197, 276, 1739, 513, 1101, 17431, 540, 519, 2856, 5176, 476, 2004, 1296, 4505, 538, 476, 11260, 277, 269, 29703, 2006, 5261, 595, 1638, 523, 7152, 602, 1010, 968, 325, 16466, 892, 1223, 1711, 513, 1507, 2179, 540, 4672, 855, 693, 602, 942, 519, 1523, 540, 13936, 1426, 538, 513, 22799, 3926, 4769, 1406, 2049, 547, 4896, 269, 2986, 1576, 2094, 1287, 535, 5090, 2471, 630, 3697, 519, 2025, 835, 3182, 3293, 1107, 2707, 264, 4838, 2213, 1426, 11091, 543, 15325 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7706, 540, 11174, 5708, 267, 1920, 5389, 543, 16873, 1419, 4196, 607, 3844, 4798, 602, 948, 3337, 12300, 6386, 543, 3197, 269, 1452, 2609, 1450, 1762, 3988, 547, 2263, 741, 1378, 2686, 9163, 1247, 849, 5807, 6568, 2509, 1114, 2081, 540, 1272, 269, 3414, 2984, 10704, 1472, 3838, 2833, 899, 19771, 267, 6980, 267, 543, 12738, 267, 4589, 666, 5490, 4514, 883, 3584, 971, 607, 6561, 267, 2418, 267, 543, 14375, 3347, 269, 901, 1576, 1770, 786, 1445, 593, 875, 891, 4798, 616, 18955, 883, 4207, 3332, 267, 5373, 4296, 1063, 14070, 6386, 543, 1483, 8996, 2853, 780, 2414, 2253, 609, 267, 1577, 781, 4983, 519, 1523, 540, 513, 1920, 11018, 607, 13269, 538, 1585, 1568, 540, 11174, 5708, 269, 2290, 8037, 1383, 568, 1744, 16336, 595, 872, 577, 781, 834, 26364, 15967, 8776, 22641, 328, 24439, 590, 19281, 2437, 1141, 519, 16502, 781, 7969, 12677, 20516, 8843, 10346, 543, 7326, 5293, 1524, 998, 5481, 1247, 5986, 17339, 609, 1200, 6264, 323, 5922, 269, 6684, 267, 27692, 590, 826, 5244, 781, 834, 288, 17266, 1744, 731, 257, 20502, 11114, 20341, 2245, 607, 513, 14165, 585, 22686, 7554, 543, 16177, 269, 5637, 5931, 5031, 875, 18497, 2238, 7794, 22686, 13218, 2066, 4529, 543, 5481, 780, 9202, 267, 649, 2490, 938, 3007, 547, 1426, 543, 922, 4644, 1369, 1920, 9821, 269, 2725, 1023, 1419, 21843, 9322, 267, 4313, 267, 543, 2648, 282, 3976, 267, 789, 1831, 1898, 3334, 540, 1082, 9089, 269, 1280, 3236, 267, 10496, 638, 5202, 8381, 5459, 781, 834, 763, 4303, 1411, 10670, 257, 7710, 519, 4664, 4810, 676, 1453, 945, 1745, 899, 16080, 11107, 1813, 547, 3604, 538, 803, 5306, 830, 9821, 693, 1153, 269, 1635, 3339, 1944, 3309, 11477, 6208, 267, 8381, 5459, 7512, 1762, 3988, 547, 9784, 22464, 543, 6536, 13784, 269, 6271, 8903, 1224, 568, 834, 307, 807, 15643, 654, 1218, 513, 2961, 257, 676, 23729, 2405, 2088, 267, 799, 5205, 513, 17896, 681, 4618, 1920, 9494, 909, 547, 4444, 513, 1286, 585, 15964, 11824, 15143, 910, 20515, 875, 3838, 3853, 543, 24279, 6830, 1518, 22686, 7554, 780, 11101, 267, 3695, 14812, 543, 15976, 2488, 3638, 3255, 585, 4589, 547, 5490, 883, 519, 10848, 540, 2686, 3961, 5250, 269, 7734, 971, 607, 834, 292, 573, 16505, 9724, 693, 2806, 21731, 781, 257, 676, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 8722, 601, 1863, 547, 5734, 519, 8292, 7735, 593, 1022, 2022, 543, 6443, 519, 4901, 269, 2201, 513, 17919, 7552, 267, 649, 11074, 538, 519, 12784, 693, 519, 18136, 1768, 15869, 540, 22538, 564, 7559, 632, 561, 1052, 3193, 267, 1985, 547, 519, 9754, 609, 519, 1482, 2012, 269, 4024, 891, 960, 609, 782, 5905, 13819, 971, 607, 513, 22272, 1283, 5905, 5496, 286, 8281, 3381, 7141, 575, 325, 3217, 513, 2462, 4452, 538, 1200, 3068, 543, 5023, 476, 280, 281, 476, 4029, 476, 273, 2395, 3516, 5784, 269, 634, 6852, 639, 4887, 4827, 525, 519, 3723, 676, 3001, 519, 3723, 693, 519, 21721, 269, 24522, 538, 513, 1390, 3902, 585, 476, 275, 11623, 3046, 28535, 1107, 15951, 476, 279, 269, 1284, 3357, 538, 3735, 694, 4697, 865, 649, 941, 11207, 6899, 2837, 8797, 267, 855, 519, 1152, 1035, 568, 513, 6885, 1770, 538, 519, 23103, 267, 865, 1491, 602, 883, 7156, 952, 596, 1544, 547, 3207, 609, 519, 7450, 6806, 855, 723, 1866, 12008, 538, 519, 2713, 4055, 1282, 28555, 3275, 269, 1656, 267, 607, 513, 22429, 267, 649, 4076, 9275, 14311, 547, 519, 5182, 540, 938, 1655, 2479, 4339, 827, 1010, 1909, 538, 602, 12473, 6370, 269, 14205, 20087, 512, 345, 8546, 476, 1015, 2381, 2373, 676, 3723, 2476, 4620, 571, 512, 345, 519, 1434, 1747, 547, 3251, 2282, 13486, 8115, 609, 713, 3902, 521, 4331, 534, 987, 512, 345, 519, 4055, 568, 575, 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, 7731, 1315, 4937, 1315, 26492, 14727, 324, 14896, 725, 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, 7756, 18467, 540, 28552, 15215, 692, 8702, 547, 713, 3078, 1576, 1770, 1141, 649, 786, 2263, 1114, 2081, 1004, 2259, 741, 10764, 256, 5620, 596, 2479, 9289, 1946, 930, 1004, 7281, 267, 1247, 1866, 1685, 12738, 286, 2107, 1946, 930, 1224, 3909, 5931, 267, 855, 1866, 4782, 547, 6108, 942, 4543, 1346, 538, 991, 286, 1452, 3604, 666, 581, 11911, 547, 519, 1585, 2081, 1004, 3442, 547, 2769, 741, 5132, 269, 2913, 781, 4685, 883, 1620, 891, 3309, 4485, 2439, 272, 269, 681, 3770, 2065, 6657, 454, 5970, 596, 2479, 13984, 513, 3909, 16008, 899, 513, 29080, 267, 3046, 5378, 345, 341, 1695, 267, 610, 11755, 3028, 693, 513, 9923, 4302, 610, 11454, 286, 1403, 9811, 267, 1287, 596, 723, 14754, 9161, 2065, 2853, 256, 4658, 4497, 538, 1808, 3527, 543, 5615, 11311, 676, 741, 4984, 547, 6542, 20174, 543, 1921, 609, 519, 10143, 269, 1280, 1383, 267, 8654, 22250, 1282, 12390, 4157, 27204, 610, 8840, 3694, 1282, 4004, 542, 616, 1312, 6209, 12738, 13736, 538, 17194, 543, 8567, 267, 6606, 780, 273, 269, 8211, 1670, 6657, 454, 1607, 1826, 3322, 1565, 827, 543, 10452, 2390, 3909, 4978, 543, 10752, 269, 898, 1419, 2882, 4974, 10723, 5931, 971, 607, 519, 6426, 267, 20845, 267, 610, 13225, 698, 822, 611, 717, 7534, 269, 1635, 11543, 4514, 4030, 883, 3909, 24866, 267, 2043, 1020, 2178, 2418, 543, 3741, 602, 3391, 873, 2429, 1272, 269, 1323, 5140, 1383, 1131, 581, 11504, 10732, 3427, 5049, 547, 1451, 827, 13400, 2984, 543, 1612, 1963, 780, 274, 269, 5438, 21377, 6657, 454, 5278, 1004, 3343, 1463, 2833, 609, 519, 10143, 998, 9066, 267, 959, 1734, 267, 22649, 267, 610, 9909, 269, 1358, 3494, 602, 8220, 13948, 609, 513, 2362, 1379, 18791, 741, 5132, 543, 5289, 2208, 269, 5994, 1199, 23550, 3232, 547, 3035, 6418, 4708, 543, 10103, 610, 1210, 669, 13589, 16051, 6652, 547, 1445, 707, 2247, 593, 2318, 4555, 1107, 891, 616, 8320, 540, 23913, 2259, 780, 275, 269, 3733, 560, 673, 6657, 454, 7069, 560, 923, 11654, 7096, 25386, 2833, 3056, 547, 10700, 18408, 543, 2620, 9322, 609, 519, 10143, 269, 901, 2619, 3340, 7920, 31658, 267, 1582, 16162, 23002, 267, 543, 7029, 269, 2672, 325, 529, 267, 945, 1246, 9099, 7793, 6291, 267, 11441, 547, 12492, 9769, 609, 16589, 998, 2648, 543, 20174, 269, 6684, 267, 4168, 7793, 923, 2832, 547, 1995, 2696, 781, 4527, 998, 14980, 11755, 543, 8086, 780, 276, 269, 6796, 14114, 686, 5034, 6657, 454, 306, 16291, 15129, 9439, 2769, 741, 5132, 998, 6411, 540, 11587, 267, 17493, 267, 543, 1514, 5126, 269, 29955, 1866, 2636, 873, 547, 18220, 8296, 267, 28908, 267, 543, 21548, 1107, 4295, 21644, 3838, 2066, 1082, 10764, 269, 6201, 1331, 24749, 693, 15602, 24181, 267, 12180, 1426, 11479, 267, 610, 14957, 585, 2825, 5726, 780, 277, 269, 8061, 10899, 6657, 454, 28319, 1774, 525, 1397, 741, 11428, 547, 741, 5132, 676, 5781, 26902, 6235, 24587, 610, 26060, 5515, 269, 27302, 267, 13465, 1728, 332, 985, 267, 973, 1746, 19001, 267, 610, 2870, 1148, 14120, 2820, 6541, 2887, 896, 713, 7121, 269, 6056, 540, 7826, 887, 338, 776, 19001, 267, 9699, 4996, 10937, 18428, 267, 610, 1256, 5373, 5961, 18995, 3909, 4798, 607, 3029, 540, 1821, 10899, 4082, 780, 9824, 16406, 5389, 2356, 5000, 1978, 2081, 540, 8026, 936, 1866, 1759, 593, 1614, 1883, 2188, 1384, 265, 13507, 1949, 281, 3962, 4984, 814, 922, 2189, 1305, 540, 6698, 267, 14868, 267, 543, 6386, 5935, 21071, 262, 23381, 338, 269, 21253, 1043, 543, 1930, 1949, 1522, 3895, 2789, 2081, 540, 8026, 267, 6466, 14461, 3283, 1223, 3870, 1152, 513, 1906, 2409, 563, 265, 22716, 1242, 3344, 281, 9122, 593, 3140, 2796, 543, 2686, 7506, 267, 1142, 4984, 8711, 1808, 2853, 269, 3683, 942, 267, 891, 7375, 1831, 7533, 2694, 540, 3909, 3961, 563, 265, 24722, 23596, 618, 281, 1879, 513, 3909, 9872, 13166, 7028, 1808, 2853, 267, 789, 4043, 547, 2744, 23146, 1851, 13794, 269, 1717, 267, 1367, 7664, 543, 2123, 31007, 1869, 1404, 1713, 5107, 538, 8159, 799, 1259, 24889, 1034, 7184, 780, 1103, 3932, 267, 1169, 1268, 23297, 875, 789, 6999, 547, 2259, 741, 5132, 1759, 593, 741, 4690, 267, 18144, 267, 543, 31710, 269, 1306, 596, 3136, 3695, 519, 3638, 13795, 540, 2518, 10764, 267, 3314, 602, 4763, 27862, 938, 7104, 1480, 1995, 543, 6770, 721, 6251, 1927, 5103, 7805, 3604, 269, 8414, 1565, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 20751, 1022, 4890, 3909, 2245, 1606, 1276, 607, 13221, 267, 5771, 267, 610, 8567, 821, 568, 2693, 547, 1265, 782, 3670, 2081, 540, 1373, 3909, 269, 769, 1022, 835, 540, 513, 2245, 781, 5705, 571, 1885, 602, 786, 711, 581, 607, 2693, 269, 2368, 2081, 538, 513, 3909, 2245, 630, 16838, 811, 865, 538, 513, 5705, 571, 1288, 264, 786, 4309, 3152, 8561, 543, 31449, 982, 1866, 267, 4470, 593, 1896, 2188, 269, 8422, 2188, 616, 2523, 15002, 894, 563, 5575, 540, 782, 267, 972, 568, 519, 3815, 540, 519, 3090, 1062, 540, 519, 4984, 3294, 281, 875, 8465, 621, 568, 267, 875, 1930, 621, 568, 547, 18312, 12496, 543, 2417, 1646, 267, 543, 547, 1018, 6708, 621, 630, 324, 3052, 1421, 513, 8574, 540, 28138, 27403, 264, 2047, 11363, 610, 24115, 2471, 513, 1978, 1259, 610, 2081, 540, 1373, 3909, 269, 13689, 593, 519, 2470, 540, 513, 1880, 1062, 540, 6698, 267, 835, 1259, 540, 1373, 3909, 949, 581, 2523, 9415, 3448, 547, 1866, 267, 609, 519, 1267, 602, 621, 3587, 8789, 1369, 602, 2245, 267, 1247, 1776, 1259, 949, 581, 27209, 267, 609, 519, 1267, 602, 621, 2760, 11392, 4013, 27479, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 7170, 281, 1215, 547, 10162, 770, 513, 3619, 846, 23213, 6145, 513, 11894, 23213, 692, 3721, 476, 272, 281, 19369, 454, 294, 1430, 782, 2556, 5820, 543, 2645, 269, 1280, 713, 11600, 267, 596, 786, 991, 835, 979, 846, 6089, 630, 12671, 476, 273, 268, 274, 6550, 1070, 14462, 3282, 267, 6070, 267, 14723, 267, 13342, 8869, 267, 4195, 11922, 971, 607, 16815, 1889, 543, 9782, 4424, 267, 543, 9269, 26185, 630, 28436, 1040, 13088, 2838, 1331, 513, 8325, 17180, 267, 5969, 4604, 267, 7893, 838, 9398, 267, 11256, 8670, 267, 543, 11956, 23240, 780, 3721, 476, 273, 281, 774, 1177, 532, 519, 3619, 846, 23213, 454, 2252, 13792, 267, 1747, 519, 979, 846, 6089, 538, 519, 21067, 585, 476, 272, 268, 273, 2395, 547, 1219, 15543, 7444, 269, 17968, 267, 21477, 613, 519, 20386, 979, 846, 6089, 538, 4411, 1216, 267, 4657, 519, 1216, 1169, 476, 1789, 3764, 2394, 4628, 555, 31090, 269, 901, 1184, 1058, 1491, 5111, 476, 1789, 3764, 829, 11013, 780, 3721, 476, 274, 281, 2776, 17742, 2659, 744, 1597, 454, 7093, 17742, 707, 14089, 547, 476, 23283, 13790, 630, 13679, 9180, 264, 1354, 11093, 519, 979, 846, 6089, 3330, 269, 589, 5265, 12699, 14089, 5849, 1256, 5986, 543, 11151, 22848, 8504, 540, 519, 16538, 780, 3721, 476, 275, 281, 17897, 532, 519, 3619, 846, 23213, 454, 305, 20600, 519, 979, 846, 6089, 896, 4411, 4881, 1216, 543, 1273, 3819, 1210, 1957, 28734, 269, 28799, 6070, 267, 3109, 14723, 267, 543, 13342, 8869, 538, 3160, 17114, 269, 2637, 2730, 569, 4005, 1312, 5011, 540, 519, 979, 846, 6089, 609, 713, 7848, 269, 9255, 930 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2143, 607, 1082, 4093, 607, 594, 1223, 267, 713, 1259, 596, 666, 3442, 519, 835, 610, 1906, 602, 3514, 707, 1362, 543, 519, 942, 596, 723, 269, 18461, 1863, 547, 12575, 543, 2087, 256, 7756, 2747, 267, 4879, 267, 2200, 267, 11461, 2055, 267, 3992, 7291, 543, 10137, 2093, 782, 3769, 563, 5319, 2809, 543, 1577, 707, 9345, 543, 707, 1453, 781, 979, 3552, 2336, 2171, 3398, 519, 1739, 8569, 2409, 912, 2414, 5372, 713, 1257, 609, 707, 4558, 781, 4890, 9623, 593, 8569, 2409, 267, 979, 547, 834, 290, 7614, 690, 9847, 8605, 29601, 257, 543, 12575, 519, 32237, 2409, 2985, 563, 2080, 596, 666, 1683, 1344, 607, 547, 1018, 2472, 666, 581, 8120, 267, 875, 1082, 2395, 707, 5561, 723, 547, 2132, 741, 6718, 267, 2436, 789, 786, 4309, 513, 32479, 538, 519, 3312, 1106, 540, 8569, 267, 513, 10682, 610, 513, 4558, 5491, 267, 945, 17188, 585, 519, 11288, 540, 519, 5892, 12349, 2472, 547, 519, 4558, 267, 543, 865, 593, 563, 2414, 5372, 713, 1257, 609, 707, 4558, 781, 4890, 2132, 3609, 267, 979, 547, 834, 290, 7614, 690, 9847, 8605, 29601, 257, 543, 12575, 519, 17776, 8889, 2985, 269, 0, 4002, 5437, 476, 279, 267, 6607, 326, 1794, 619, 538, 3127, 786, 7198, 513, 4686, 18477, 2680, 267, 2407, 932, 18588, 3400, 7315, 269, 901, 786, 581, 519, 2197, 779, 2063, 11192, 30803, 661, 743, 15199, 2394, 476, 1708, 276, 267, 1498, 12075, 786, 581, 2111, 547, 1294, 9864, 543, 4050, 3518, 1537, 16264, 17772, 2354, 525, 1282, 602, 942, 563, 1607, 2680, 568, 2189, 538, 602, 621, 786, 581, 513, 10552, 9855, 661, 743, 15199, 267, 4098, 693, 476, 273, 269, 4375, 10681, 543, 10678, 693, 476, 277, 269, 866, 10681, 269, 8307, 519, 2698, 543, 9864, 11775, 540, 519, 16264, 24256, 786, 581, 7298, 538, 3127, 267, 3226, 538, 519, 9456, 4525, 269, 1717, 267, 538, 824, 2694, 540, 519, 2197, 267, 1152, 513, 9864, 5123, 540, 519, 1973, 7599, 666, 581, 2938, 563, 299, 12762, 661, 743, 15199, 543, 9699, 26492, 454, 1607, 1032, 267, 1317, 519, 30803, 661, 743, 15199, 14626, 1938, 609, 918, 691, 1731, 623, 1248, 9874, 267, 972, 723, 1044, 1082, 2242, 538, 519, 8430, 540, 12738, 602, 616, 2356, 9976, 609, 1390, 533, 20234, 543, 575, 2967, 1214, 563, 8601, 1373, 606, 24666, 2680, 267, 606, 24256, 814, 1713, 29631, 543, 4230, 25233, 4644, 538, 4095, 2528, 269, 4634, 1498, 519, 3621, 2146, 1281, 711, 1489, 971, 2093, 267, 519, 9699, 620, 2006, 871, 5267, 11287, 1896, 9993, 1282, 971, 606, 2680, 538, 1931, 547, 2057, 1022, 2942, 2360, 593, 1272, 563, 15239, 11383, 267, 649, 723, 12006, 930, 1279, 17000, 539, 2757, 4388, 602, 2528, 4966, 4363, 585, 1004, 2616, 766, 269, 3371, 616, 930, 4808, 912, 1432, 9701, 1411, 1684, 4438, 1323, 661, 743, 15199, 888, 24836, 7315, 568, 513, 942, 547, 1199, 10028, 543, 7281, 563, 27662, 519, 2777, 543, 4163, 856, 513, 22729, 9161, 267, 971, 607, 20057, 1782, 717, 18553, 808, 531, 563, 5475, 519, 24256, 267, 2141, 1491, 513, 8602, 543, 1689, 707, 9660, 563, 2414, 2057, 519, 2942, 2360, 540, 519, 24256, 267, 1004, 666, 2322, 13411, 570, 639, 2993, 3762, 538, 741, 1426, 563, 8448, 982, 2550, 267, 1453, 267, 543, 519, 11361, 267, 1004, 616, 24016, 547, 2057, 1426, 543, 1216, 607, 1454, 607, 2009, 1282, 519, 24256, 563, 1432, 9701, 1411, 3680, 4438, 3400, 7315, 454, 303, 27389, 656, 2021, 1058, 3635, 3665, 13657, 269, 16241, 575, 32203, 543, 2528, 4966, 18973, 24584, 11299, 547, 7281, 585, 519, 1134, 5630, 540, 741, 796, 9799, 1126, 543, 547, 26821, 676, 9361, 9350, 569, 543, 17159, 609, 513, 17310, 593, 741, 22272, 563, 7628, 519, 24256, 267, 2057, 12008, 610, 28876, 563, 6097, 547, 2686, 4808, 267, 9176, 2021, 1058, 2057, 2469, 3544, 547, 4585, 519, 24256, 563, 10111, 2522, 6411, 540, 1022, 2186, 616, 849, 14553, 19275, 269, 0, 16158, 8436, 568, 7307, 676, 519, 968, 8421, 545, 540, 519, 3859, 892, 538, 17421, 2019, 3279, 545, 16257, 267, 513, 3859, 14617, 2146, 4171, 15888, 8044, 585, 3059, 1374, 3330, 19236, 7182, 563, 20124, 2019, 3279, 545, 16257, 2882, 513, 4015, 540, 3859, 14617, 13763, 267, 6582, 538, 4025, 18368, 779, 942, 10851, 543, 7674, 922, 18799, 1357, 4609, 689, 627, 31295, 5544, 568, 2348, 1187, 609, 9247, 519, 1034, 21765, 563, 1607, 1016, 591, 1206, 519, 3044, 5106, 540, 519, 1357, 267, 607, 1419, 950, 606, 1357, 1268, 4422, 547, 7127, 513, 1357, 3135, 267, 741, 7662, 568, 9859, 547, 627, 31295, 7746, 3091, 873, 519, 2656, 652, 3210, 2443, 2356, 519, 835, 602, 779, 14191, 32321, 563, 763, 1357, 3135, 1131, 7654, 4452, 14887, 585, 18825, 9001, 519, 17421, 2019, 3279, 545, 16257, 267, 2705, 519, 1576, 540, 786, 1118, 946, 540, 9247, 519, 1034, 6923, 3015, 1379, 267, 865, 621, 779, 5688, 2213, 1776, 1259, 563, 763, 2146, 779, 15888, 2443, 5159, 543, 1715, 3840, 5441, 20485, 570, 9298, 9650, 267, 5981, 715, 987, 753, 517, 543, 27015, 24297, 623, 5050, 7578, 2443, 1589, 827, 713, 519, 968, 8421, 545, 540, 519, 3859, 5608, 513, 1505, 540, 8888, 676, 14719, 908, 3618, 569, 6384, 971, 1317, 519, 3859, 779, 16799, 609, 519, 3047, 563, 5445, 2813, 17421, 2019, 3279, 545, 16257, 547, 1205, 2043, 19832, 609, 519, 5409, 31904, 1063, 1379, 946, 543, 3059, 1374, 267, 513, 1641, 602, 789, 616, 6031, 568, 27723, 14406, 563, 2108, 20751, 519, 1641, 540, 15291, 2257, 267, 972, 779, 782, 519, 942, 1044, 713, 1523, 540, 7384, 1373, 3970, 1652, 543, 12808, 2223, 9650, 5483, 1546, 2763, 523, 269, 968, 2467, 779, 711, 513, 2245, 540, 14719, 908, 519, 5958, 5222, 543, 519, 5168, 602, 891, 3292, 616, 882, 5050, 593, 2462, 1648, 1606, 31902, 267, 1216, 1606, 31902, 1344, 18013, 799, 666, 581, 782, 782, 936, 519, 1158, 3034, 14071, 2461, 12394, 547, 1020, 513, 2189, 1505, 547, 1374, 543, 3648, 547, 772, 311, 1374, 267, 519, 1747, 713, 11432, 1359, 693, 519, 4090, 1281, 711, 2291, 538, 1022, 2463, 3034, 14071, 2461, 2965, 3238, 827, 2409, 547, 1560, 1374, 607, 1373, 3330, 19236, 7182, 543, 2429, 519, 1379, 2796, 2223, 3773, 715, 987, 753, 517, 563, 763, 15888, 616, 11235, 547, 20618, 602, 741, 4161, 568, 513, 1008, 6327, 827, 875, 649, 946, 519, 1357, 543, 2760, 606, 2626, 547, 922, 1379, 2798, 563, 5445, 798, 711, 12167, 15175, 707, 2347, 1357, 547, 513, 8666, 2019, 3279, 545, 7014, 269, 1306, 606, 4244, 267, 789, 2461, 9001, 519, 8097, 4161, 547, 3605, 513, 1297, 540, 12969, 532, 2035, 267, 1927, 609, 2436, 610, 711, 3292, 1522, 581, 2966, 5180, 968, 335, 675, 4987, 892, 607, 513, 2603, 607, 10991, 4987, 267, 8888, 585, 954, 2466, 1084, 1097, 267, 543, 15819, 519, 2215, 2329, 540, 1164, 22822, 563, 4322, 2035, 616, 8268, 593, 519, 17421, 2019, 3279, 545, 16257, 1357, 3135, 543, 538, 513, 1699, 1957, 676, 519, 5234, 593, 519, 17568, 17270, 2060, 856, 7799, 1080, 563, 20751, 519, 1957, 267, 789, 1491, 9837, 693, 930, 17191, 9072, 1107, 5680, 274, 4294, 9443, 23401, 15170, 267, 789, 616, 6031, 267, 568, 968, 1492, 1747, 19106, 568, 2356, 1163, 2105, 585, 1100, 946, 4502, 538, 1022, 2463, 892, 1107, 855, 10123, 13214, 519, 7839, 946, 540, 18297, 267, 3684, 4974, 543, 519, 1357, 540, 2152, 269, 1358, 4704, 606, 7447, 602, 593, 11060, 3381, 18297, 949, 2272, 585, 835, 533, 6983, 540, 1158, 8511, 4492, 5434, 563, 14881, 3494, 513, 851, 540, 621, 779, 513, 13214, 540, 2418, 2223, 7150, 715, 987, 753, 517, 269, 968, 763, 1357, 5693, 14998, 796, 29207, 15344, 2152, 593, 513, 2834, 4493, 1107, 899, 713, 1591, 7483, 2012, 814, 1454, 1447, 540, 606, 1860, 982, 950, 596, 1185, 1044, 547, 8038, 1318, 1934, 610, 952, 519, 1614, 540, 721, 1185, 1044, 547, 8038, 547, 5507, 3034, 2108, 4913, 594, 798, 15475, 621, 568, 5168, 995, 547, 2161, 602, 972, 616, 3833, 513, 2603, 540, 2152, 899, 954, 2466, 1084, 1097, 799, 666, 581, 267, 1813, 547, 2199, 4365, 543, 1813, 547, 5065, 11615, 267, 513, 5393, 7372, 2015, 2043, 779, 2729, 543, 666, 811, 543, 811, 581, 865, 269, 1656, 3059, 1374, 6499, 547, 16253, 547, 602, 547, 2327, 602, 721, 547, 723, 519, 2702, 547, 723, 16180, 2729, 855, 10123, 12581, 543, 3274, 10600, 3034, 2108, 3080, 540, 1082, 29293, 729, 10123, 547, 2015, 1018, 616, 930, 2152, 596, 1223, 3251, 609, 856, 543, 602, 7654, 596, 7443, 689, 23029, 609, 856, 693, 2386, 8320, 540, 519, 1554, 602, 2223, 3773, 623, 5050, 7578, 269, 968, 1607, 1523, 602, 713, 1505, 568, 711, 3015, 547, 596, 476, 2190, 270, 278, 543, 621, 814, 922, 2123, 11733, 666, 849, 581, 513, 1008, 6327, 950, 621, 2501, 547, 835, 779, 2123, 7180, 543, 19832, 609, 267, 1018, 616, 930, 2152, 602, 596, 1175, 6999, 547, 979, 1524, 950, 519, 3859, 4422, 1524, 18313, 763, 17421, 2019, 3279, 545, 16257, 2146, 693, 519, 4090, 814, 476, 280, 13763, 4950, 16475, 1614, 1357, 4609, 281, 835, 585, 17421, 2019, 3279, 545, 16257, 3294, 267, 835, 585, 519, 8899, 4211, 12365, 5811, 11150, 6828, 543, 835, 585, 606, 6987, 8012, 6184, 18675, 4161, 269, 634, 15888, 693, 519, 4090, 616, 7722, 593, 7432, 621, 1318, 883, 513, 3063, 27763, 3059, 1858, 4950, 16475, 3594, 543, 26620, 563, 9596, 593, 585, 606, 12995, 13973, 540, 938, 5967, 609, 9650, 267, 715, 987, 753, 517, 543, 623, 5050, 7578, 267, 519, 1747, 789, 1445, 593, 741, 2035, 593, 3059, 1374, 3330, 19236, 7182, 267, 1018, 621, 1797, 547, 1118, 946, 540, 968, 335, 675, 4987, 892, 543, 2436, 610, 711, 741, 18747, 17538, 513, 968, 332, 1276, 1447, 11791, 892, 1357, 563, 305, 9874, 17939, 2088, 589, 537, 325, 281, 634, 1747, 1705, 519, 2219, 585, 17421, 2019, 3279, 545, 16257, 2097, 689, 888, 289, 2989, 24297, 623, 5050, 7578, 281, 634, 3119, 1651, 28271, 540, 17421, 2019, 3279, 545, 16257, 729, 606, 8097, 2079, 4161, 883, 519, 2219, 540, 281, 1018, 1131, 621, 711, 1491, 547, 1711, 513, 3859, 14617, 7746, 543, 723, 513, 3859, 14617, 1357, 3135, 269, 1284, 1185, 1044, 2965, 24330, 676, 8899, 6874, 3663, 4750, 267, 519, 3859, 14617, 1357, 3135, 269, 1284, 1185, 1044, 782, 585, 519, 5168, 602, 3330, 938, 15004, 543, 3330, 938, 4019, 543, 2429, 519, 3584, 602, 649, 13599, 267, 649, 5000, 3025, 547, 723, 14021, 593, 11060, 12319, 543, 723, 513, 1357, 1759, 4527, 543, 3984, 21075, 543, 723, 513, 19180, 4527, 593, 11060, 269, 1717, 972, 779, 1106, 540, 513, 771, 817, 27937, 1063, 602, 543, 519, 1620, 602, 602, 4527, 814, 606, 2825, 1860, 267, 543, 602, 519, 5079, 602, 835, 2306, 593, 11060, 950, 621, 2501, 547, 519, 1259, 596, 1699, 707, 960, 610, 875, 7372, 540, 513, 3758, 596, 1039, 267, 610, 519, 3375, 540, 519, 11147, 602, 596, 1175, 10505, 593, 11060, 267, 782, 1331, 606, 1379, 18820, 269, 1656, 649, 946, 891, 23199, 899, 968, 1492, 6531, 892, 799, 1118, 782, 540, 891, 3527, 2408, 1360, 967, 27075, 689, 6986, 2959, 563, 2171, 10443, 930, 6901, 267, 649, 2813, 835, 3859, 14617, 1357, 3135, 267, 1310, 799, 856, 540, 602, 267, 594, 3494, 519, 1246, 5346, 13214, 729, 1018, 1131, 2049, 952, 649, 1185, 513, 2146, 540, 1346, 13763, 543, 2731, 13761, 856, 875, 1459, 10873, 960, 543, 519, 1259, 949, 649, 13148, 5368, 1203, 513, 7014, 610, 4603, 609, 519, 2219, 540, 8436, 1373, 3535, 539, 5097, 1759, 593, 6986, 7954, 5594, 982, 6671, 7014, 2845, 923, 5097, 1759, 593, 1198, 2032, 543, 1114, 2152, 563, 305, 9874, 17939, 2088, 589, 537, 325, 281, 1215, 1705, 596, 1418, 1047, 519, 4025, 585, 519, 1747, 519, 11207, 1114, 13763, 666, 581, 18799, 888, 20694, 715, 987, 753, 517, 281, 1284, 1631, 723, 1100, 17050, 585, 713, 547, 581, 899, 606, 11999, 267, 1804, 3815, 269, 3776, 2219, 540, 4336, 729, 267, 875, 786, 649, 1205, 835, 3896, 593, 1169, 11782, 4849, 585, 19778, 543, 1205, 835, 3364, 602, 1281, 713, 2186, 540, 19621, 22107, 8172, 1764, 1317, 519, 3047, 29226, 269, 769, 1931, 602, 729, 2186, 540, 1018, 649, 2808, 950, 621, 2501, 547, 519, 4336, 540, 519, 2146, 269, 1717, 1287, 585, 519, 1268, 7270, 267, 649, 3459, 609, 267, 594, 1522, 2161, 267, 5692, 268, 7955 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 910, 5286, 32557, 263, 767, 318, 523, 340, 18020, 476, 273, 316, 4297, 2878, 476, 273, 4917, 8199, 2080, 267, 649, 946, 17877, 781, 2387, 11743, 319, 1599, 547, 5173, 519, 1611, 6991, 538, 1142, 4287, 267, 543, 1287, 10208, 519, 1611, 6991, 689, 1142, 1367, 6991, 6482, 269, 1284, 1287, 4009, 519, 1267, 543, 1491, 519, 1611, 547, 5173, 519, 13065, 269, 7053, 267, 649, 1491, 519, 4009, 3597, 540, 519, 13065, 547, 3489, 519, 3044, 11539, 780, 2162, 17006, 13505, 20653, 6290, 9208, 8061, 2747, 547, 513, 13096, 553, 564, 692, 2171, 666, 849, 1039, 519, 3135, 6991, 3044, 11539, 1239, 547, 606, 670, 5263, 276, 10471, 1210, 519, 1739, 3009, 6256, 912, 8199, 258, 5410, 519, 3135, 6991, 3044, 11539, 1239, 547, 519, 10471, 454, 1091, 564, 269, 3430, 3464, 9131, 338, 924, 318, 767, 5334, 7950, 13448, 11172, 815, 3135, 318, 767, 5334, 7950, 13448, 454, 1091, 564, 269, 3430, 3464, 9131, 338, 924, 318, 767, 5334, 7950, 14729, 11172, 815, 3135, 318, 767, 5334, 7950, 14729, 454, 1091, 564, 269, 3430, 3464, 9131, 338, 924, 318, 767, 5334, 7950, 318, 345, 11172, 815, 3135, 318, 767, 5334, 7950, 318, 345, 454, 8199, 2080, 267, 649, 946, 519, 2387, 3430, 3464, 319, 14487, 547, 1039, 519, 3135, 6991, 3044, 11539, 1239, 547, 519, 10471, 780, 1103, 3932, 267, 12719, 543, 13936, 3135, 6991, 543, 922, 3044, 11539, 568, 606, 1271, 2460, 540, 2520, 26491, 1239, 2079, 269, 1635, 1210, 5124, 543, 17877, 267, 649, 666, 3362, 1685, 891, 9273, 543, 4558, 519, 1239, 538, 513, 3898, 602, 568, 2653, 547, 960, 609, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 257, 31461, 270, 16149, 5602, 825, 546, 3553, 14491, 318, 15615, 2891, 338, 924, 318, 767, 24449, 2580, 1130, 284, 12639, 269, 11274, 5193, 263, 767, 318, 523, 340, 18020, 273, 25818, 1770, 6889, 31461, 270, 16149, 5602, 825, 546, 3553, 14491, 318, 15615, 18692, 2018, 834, 338, 924, 318, 767, 318, 274, 323, 2580, 3097, 2018, 1130, 284, 12639, 28460, 263, 1091, 564, 4732, 924, 318, 767, 18020, 271, 316, 2878, 476, 273, 1341, 546, 3553, 4732, 924, 318, 767, 18020, 272, 316, 2878, 476, 273, 1341, 546, 3553, 4732, 924, 318, 767, 18020, 273, 316, 2878, 476, 273, 13211, 2018, 1948, 1998, 284, 12639, 28460, 263, 767, 318, 523, 340, 18020, 271, 316, 2878, 476, 273, 1341, 6063, 318, 523, 340, 18020, 272, 316, 2878, 476, 273, 1341, 6063, 318, 523, 340, 18020, 273, 316, 2878, 476, 273, 13211, 2018, 1770, 6889, 31461, 270, 16149, 20350, 825, 25589, 825, 1948, 5410, 3135, 6991, 543, 3044, 11539, 540, 3135, 6991, 10974, 454, 825, 546, 3553, 14491, 318, 15615, 2891, 338, 924, 318, 767, 13448, 2580, 1130, 284, 1091, 564, 4732, 924, 318, 767, 18020, 476, 271, 3910, 1770, 6889, 31461, 270, 16149, 5602, 825, 546, 3553, 14491, 318, 15615, 2891, 338, 924, 318, 767, 14729, 2580, 1130, 284, 1091, 564, 4732, 924, 318, 767, 18020, 476, 272, 3910, 1770, 6889, 31461, 270, 16149, 5602, 825, 546, 3553, 14491, 318, 15615, 2891, 338, 924, 318, 767, 318, 345, 2580, 1130, 284, 1091, 564, 4732, 924, 318, 767, 18020, 476, 273, 3910, 1770, 6889, 31461, 270, 16149, 5602, 825, 546, 3553, 14491, 318, 15615, 2891, 338, 924, 318, 767, 5334, 7950, 13448, 2580, 1130, 284, 12639, 28460, 263, 1091, 564, 269, 652, 1493, 6831, 990, 5334, 924, 318, 767, 13448, 343, 1070, 1770, 6889, 31461, 270, 16149, 5602, 825, 546, 3553, 14491, 318, 15615, 2891, 338, 924, 318, 767, 5334, 7950, 14729, 2580, 1130, 284, 12639, 28460, 263, 1091, 564, 269, 652, 1493, 6831, 990, 5334, 924, 318, 767, 14729, 344, 1070, 1770, 6889, 31461, 270, 16149, 5602, 825, 546, 3553, 14491, 318, 15615, 2891, 338, 924, 318, 767, 5334, 7950, 318, 345, 2580, 1130, 284, 12639, 28460, 263, 1091, 564, 269, 652, 1493, 6831, 990, 5334, 924, 318, 767, 318, 3960, 1070, 1770, 6889, 31461, 270, 16149, 5602, 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, 8080, 547, 32492, 16387, 256, 901, 568, 513, 1187, 543, 4241, 7936, 540, 6128, 602, 9388, 609, 5546, 543, 741, 3601, 269, 1284, 3513, 2263, 875, 5904, 666, 948, 721, 1174, 9511, 1732, 543, 4194, 2042, 811, 7561, 269, 1635, 519, 1439, 540, 713, 3184, 267, 596, 786, 723, 4121, 930, 1007, 1983, 543, 6591, 513, 4514, 7071, 585, 519, 5898, 540, 9511, 780, 4131, 781, 1376, 609, 1945, 2241, 910, 2798, 543, 3515, 269, 5994, 5373, 513, 12297, 593, 513, 4062, 540, 1957, 543, 21458, 621, 630, 343, 267, 586, 1040, 2334, 781, 1018, 22697, 1289, 513, 1448, 269, 3767, 4952, 8220, 1079, 15956, 609, 513, 2786, 1899, 269, 5556, 17894, 256, 1411, 1175, 2813, 707, 1101, 12166, 1843, 1210, 12985, 2645, 780, 3719, 7227, 267, 972, 781, 811, 256, 2060, 513, 2780, 1982, 267, 649, 666, 1711, 7366, 610, 1256, 5215, 540, 2798, 693, 2899, 267, 8108, 1950, 5546, 899, 12730, 267, 10945, 267, 10580, 267, 543, 1454, 811, 269, 1656, 2899, 649, 723, 891, 5546, 267, 649, 666, 1685, 1585, 4238, 593, 873, 971, 607, 18440, 267, 15914, 267, 24758, 630, 332, 8221, 1070, 543, 12969, 532, 269, 1452, 616, 1634, 607, 14759, 780, 3086, 1577, 781, 2119, 606, 1383, 1927, 269, 14597, 649, 1616, 547, 2721, 513, 6906, 1210, 1614, 2798, 630, 272, 267, 273, 1070, 630, 275, 267, 276, 264, 543, 630, 278, 267, 279, 1040, 1677, 798, 713, 267, 649, 1131, 991, 547, 5173, 519, 9386, 540, 1142, 2427, 540, 519, 6906, 543, 1287, 1921, 519, 15956, 9935, 269, 1809, 3079, 540, 3257, 782, 602, 960, 16924, 267, 649, 666, 2328, 513, 2110, 2780, 1982, 547, 798, 621, 585, 721, 269, 3371, 781, 835, 1259, 547, 798, 621, 1210, 5124, 912, 3499, 7090, 454, 5814, 21267, 28272, 607, 12301, 692, 258, 16294, 519, 10974, 540, 519, 14622, 454, 3200, 1182, 815, 27883, 272, 267, 476, 273, 1070, 630, 275, 267, 476, 276, 1070, 630, 278, 267, 476, 279, 264, 6540, 258, 18140, 519, 14622, 607, 2699, 15956, 454, 10823, 31892, 2660, 28949, 32502, 28949, 3200, 1182, 11723, 258, 4045, 519, 14622, 609, 3515, 454, 1721, 1775, 538, 2039, 12759, 263, 3200, 1182, 9984, 272, 2187, 825, 1535, 271, 267, 586, 271, 815, 14622, 5157, 2639, 825, 1535, 272, 267, 586, 272, 815, 14622, 5157, 266, 272, 2639, 825, 12301, 19502, 8443, 343, 271, 267, 1535, 272, 3910, 1496, 344, 271, 267, 586, 272, 3910, 1412, 321, 268, 17210, 258, 8058, 519, 4729, 454, 10823, 20481, 4590, 8199, 2691, 596, 2196, 713, 3009, 267, 596, 1058, 1294, 513, 4190, 4544, 6906, 10268, 593, 707, 5496, 269, 8347, 22212, 519, 14584, 10974, 547, 1294, 875, 1114, 5546, 10836, 780, 9202, 909, 267, 649, 2811, 2469, 547, 4685, 883, 513, 5594, 811, 4359, 1888, 1572, 12985, 6988, 269, 5213, 1405, 5855, 952, 602, 4992, 25254, 282, 594, 9153, 621, 781, 4443, 982, 621, 4667, 269, 26243, 267, 12985, 6988, 4016, 547, 875, 1279, 621, 3217, 585, 513, 2780, 5690, 547, 2347, 922, 4305, 1759, 593, 519, 2450, 540, 519, 3403, 1239, 269, 2368, 6620, 1491, 3476, 982, 1866, 4470, 593, 519, 2470, 540, 519, 1966, 789, 2811, 3843, 547, 4194, 269, 1280, 3236, 267, 4466, 519, 1858, 540, 513, 13551, 568, 3622, 5488, 982, 7384, 519, 4320, 540, 513, 12106, 1317, 519, 8545, 3322, 811, 9273, 780, 2414, 9414, 713, 1523, 2417, 267, 2015, 519, 1739, 9183, 269, 14597, 596, 2811, 2016, 513, 1592, 540, 562, 2798, 16559, 14477, 2066, 513, 7077, 269, 2659, 3804, 568, 547, 3313, 2436, 1022, 6292, 540, 2798, 1106, 513, 7299, 1899, 10126, 630, 328, 4318, 1421, 2348, 519, 1482, 1535, 11282, 1040, 2290, 14255, 633, 1935, 1522, 4125, 10992, 1169, 2009, 6292, 540, 2798, 267, 799, 2164, 538, 744, 3799, 317, 273, 264, 942, 6988, 2094, 972, 616, 562, 3442, 476, 273, 8424, 547, 2638, 269, 1717, 267, 972, 6818, 513, 1579, 3164, 337, 5690, 1572, 30908, 1899, 602, 31758, 519, 1966, 538, 744, 3799, 2845, 562, 264, 942, 1107, 3648, 5488, 982, 1490, 1393, 3196, 2439, 7661, 267, 1354, 28277, 909, 938, 3408, 540, 12985, 9511, 267, 1577, 803, 6338, 596, 547, 1776, 3579, 3498, 1572, 23756, 26083, 338, 269, 9717, 513, 1305, 540, 2798, 538, 519, 7077, 267, 513, 23756, 26083, 568, 3989, 607, 519, 10545, 23756, 20372, 5627, 782, 519, 2798, 269, 898, 814, 1082, 1483, 8996, 3156, 971, 607, 5163, 4058, 585, 11608, 267, 3239, 4393, 267, 543, 3381, 3756, 269, 3371, 781, 606, 1383, 540, 513, 23756, 26083, 17223, 1210, 513, 2442, 5399, 1572, 1085, 27251, 912, 3499, 7090, 454, 5228, 1085, 27251, 4732, 6312, 658, 1104, 1230, 557, 343, 295, 1638, 454, 5814, 11885, 607, 5286, 692, 258, 2637, 4733, 4351, 2798, 454, 12639, 20179, 269, 23092, 263, 271, 994, 9557, 815, 5286, 20179, 20120, 263, 1015, 267, 476, 273, 264, 2608, 476, 1015, 692, 258, 30770, 519, 23756, 26083, 454, 327, 1638, 815, 1230, 557, 343, 295, 1638, 263, 9557, 2020, 258, 18140, 519, 3312, 2798, 607, 3109, 15956, 543, 519, 23756, 26083, 607, 513, 2699, 20372, 454, 10823, 31892, 2660, 28949, 32502, 28949, 9557, 4917, 10823, 4877, 8432, 12455, 22607, 1638, 269, 3200, 1182, 18020, 271, 3910, 26083, 269, 3200, 1182, 18020, 272, 3910, 1412, 337, 3299, 13672, 284, 271, 269, 276, 994, 10823, 20481, 4590, 8199, 1607, 3009, 12958, 4557, 4351, 2798, 1369, 513, 4009, 543, 1939, 525, 741, 23756, 26083, 269, 2052, 596, 5544, 519, 4806, 4646, 676, 519, 2699, 20372, 2496, 1103, 3932, 267, 12985, 9511, 3091, 11995, 7399, 585, 3695, 6310, 2035, 998, 5752, 269, 3245, 2870, 10875, 32331, 547, 6061, 6946, 11938, 2042, 267, 972, 781, 2141, 1945, 1007, 547, 3605, 269, 5901, 8026, 543, 19234, 609, 1114, 2553, 267, 543, 4166, 2614, 267, 596, 1932, 786, 1831, 21295, 538, 713, 3078, 2361, 269, 8414, 8193, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 312, 1695, 5622, 8436, 1336, 721, 19108, 676, 17511, 538, 891, 2979, 2474, 10778, 268, 25229, 514, 834, 577, 1986, 476, 280, 257, 3070, 454, 268, 4657, 21159, 547, 2898, 2338, 610, 6404, 17447, 454, 268, 2852, 7223, 3137, 454, 268, 834, 704, 1417, 10958, 257, 4976, 454, 268, 7824, 547, 27764, 268, 8660, 454, 268, 875, 547, 6460, 8918, 6824, 538, 9352, 9498, 454, 268, 11359, 3446, 12825, 10035, 4976, 454, 268, 27764, 476, 10695, 7132, 694, 6535, 4647, 454, 268, 13823, 2563, 10789, 3414, 10241, 2626, 454, 268, 2596, 3268, 547, 875, 547, 946, 513, 24275, 9498, 454, 268, 12270, 21335, 9498, 454, 268, 6574, 1455, 3815, 4976, 266, 19702, 1963, 454, 268, 1548, 568, 519, 2547, 1455, 14009, 286, 1215, 798, 649, 946, 519, 2547, 1455, 14009, 950, 4946, 7787, 7215, 888, 268, 1039, 543, 10208, 17447, 25258, 454, 268, 4336, 3815, 2979, 4245, 454, 268, 1141, 798, 1775, 979, 585, 513, 840, 7223, 6780, 25961, 454, 268, 8051, 589, 1433, 8281, 454, 268, 875, 547, 6460, 513, 6404, 6824, 883, 513, 8918, 454, 268, 2653, 1259, 547, 1451, 19038, 3363, 454, 268, 476, 278, 628, 3446, 2979, 1341, 1265, 519, 4336, 3815, 454, 268, 7180, 540, 5072, 540, 513, 13392, 3830, 454, 268, 5890, 11228, 25285, 454, 268, 2036, 514, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 4467, 1584, 1049, 16387, 257, 607, 851, 540, 834, 28035, 1315, 14691, 1315, 27122 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1079, 543, 519, 3196, 540, 519, 1079, 30556, 1131, 1287, 723, 547, 3160, 4642, 855, 602, 4667, 4636, 607, 1134, 269, 7490, 948, 594, 1175, 1810, 1405, 1174, 2433, 263, 563, 347, 15037, 2537, 268, 4962, 267, 476, 5881, 281, 1839, 6751, 1475, 258, 273, 2008, 296, 3494, 519, 21985, 538, 519, 6516, 616, 5921, 547, 581, 519, 4287, 540, 519, 1699, 563, 7712, 922, 782, 1175, 835, 1279, 5911, 267, 519, 10826, 660, 10876, 568, 3160, 563, 2791, 666, 1521, 891, 630, 1467, 1315, 5858, 264, 607, 5094, 3615, 563, 347, 15037, 2537, 268, 4962, 267, 476, 5881, 281, 2918, 6751, 1475, 258, 274, 2008, 2467, 568, 1152, 835, 5911, 267, 865, 594, 1589, 972, 786, 581, 1152, 835, 1699, 269, 634, 9588, 540, 519, 1699, 786, 711, 2339, 538, 519, 1439, 610, 789, 1131, 723, 5143, 621, 547, 596, 563, 2521, 6061, 519, 1966, 676, 8840, 621, 909, 883, 513, 9764, 4062, 543, 513, 2786, 5911, 4062, 563, 24280, 519, 6419, 2361, 1142, 3123, 538, 519, 4099, 540, 519, 8520, 563, 3528, 14577, 519, 681, 519, 8953, 540, 519, 8520, 596, 1058, 581, 2111, 547, 1205, 519, 6419, 2361, 547, 3160, 4642, 563, 9989, 713, 1118, 519, 1966, 20501, 888, 13043, 22923, 10726, 803, 547, 519, 24362, 563, 347, 13436, 27387, 338, 585, 281, 25080, 12197, 2060, 31230, 543, 18135, 697, 18514, 6435, 256, 2008, 23277, 8568, 12197, 693, 519, 4741, 540, 513, 18514, 31230, 1475, 4504, 1238, 2563, 8212, 14581, 1475, 1015, 2008, 347, 14075, 2786, 5911, 270, 6419, 2361, 1475, 14197, 8212, 1475, 273, 2008, 23277, 8568, 12197, 540, 5911, 593, 14328, 8520, 1475, 4504, 1238, 2563, 8212, 14581, 1475, 276, 2008, 26180, 12999, 538, 513, 18514, 31230, 530, 270, 513, 25080, 12197, 1475, 4504, 1238, 2563, 8212, 14581, 1475, 272, 2008, 23277, 8568, 12197, 540, 1699, 8876, 2786, 5911, 1475, 28723, 8212, 14581, 1475, 274, 347, 0, 288, 2564, 1153, 568, 3989, 607, 513, 6281, 268, 14445, 1049, 1153, 610, 9872, 602, 24870, 538, 519, 2069, 454, 1993, 4915, 269, 31035, 689, 2596, 2564, 5232, 267, 2564, 3506, 3622, 2709, 3292, 585, 1053, 547, 4309, 513, 9457, 779, 23422, 267, 16362, 540, 13898, 630, 4942, 6185, 1070, 543, 513, 16362, 540, 6925, 630, 13270, 264, 4110, 269, 6481, 3506, 616, 849, 3238, 538, 1082, 824, 1271, 4247, 16310, 519, 2069, 540, 4915, 269, 3509, 616, 3743, 585, 14139, 2564, 3173, 543, 10647, 1382, 267, 607, 1134, 607, 5665, 835, 610, 811, 10506, 269, 634, 1034, 1455, 5396, 6026, 538, 2564, 3506, 616, 1480, 14169, 267, 1979, 17190, 267, 14278, 1108, 267, 6375, 1108, 267, 11719, 344, 267, 4835, 4915, 267, 1920, 4915, 267, 6391, 267, 11976, 267, 543, 21454, 563, 28274, 547, 6481, 12140, 1700, 12700, 543, 22955, 912, 7212, 621, 568, 3730, 585, 1053, 547, 1174, 2564, 1153, 31213, 1354, 7311, 547, 3506, 267, 621, 849, 1058, 581, 1634, 602, 1175, 1373, 7608, 547, 513, 2564, 1153, 568, 3833, 606, 9740, 267, 1577, 4805, 2348, 1044, 7608, 547, 513, 1283, 9872, 538, 2564, 1153, 20823, 269, 16792, 547, 2564, 3506, 568, 811, 1419, 982, 711, 513, 2352, 543, 24858, 1184, 585, 16529, 1053, 3168, 547, 1118, 513, 4876, 538, 4915, 269, 4841, 17528, 547, 4283, 883, 513, 1153, 585, 519, 1101, 942, 1058, 711, 2285, 909, 267, 2705, 269, 17497, 267, 519, 1297, 540, 2564, 3506, 538, 519, 2136, 2276, 568, 476, 15782, 267, 609, 476, 1704, 267, 4037, 280, 1053, 19801, 538, 476, 1220, 278, 543, 476, 6858, 267, 1822, 1053, 19801, 538, 476, 1220, 279, 269, 2060, 713, 2479, 2987, 920, 2084, 1297, 267, 621, 568, 1256, 811, 2352, 982, 2479, 1354, 547, 581, 7608, 547, 519, 1283, 3506, 538, 519, 2197, 563, 763, 5948, 540, 1977, 6481, 30793, 2471, 630, 288, 24717, 264, 814, 5063, 4957, 3609, 585, 2564, 1053, 267, 10912, 585, 606, 2333, 676, 476, 1789, 2600, 540, 2564, 1153, 18934, 906, 676, 519, 1032, 476, 1001, 276, 269, 4014, 713, 568, 1434, 3377, 585, 17053, 2564, 1153, 1053, 267, 972, 568, 1152, 513, 476, 3393, 2600, 3084, 10343, 2557, 269, 1452, 5515, 6961, 942, 543, 942, 1586, 602, 13197, 513, 4876, 538, 4915, 711, 1152, 3217, 9639, 543, 2182, 960, 267, 855, 1164, 20440, 607, 1134, 269, 634, 3328, 2852, 717, 5183, 585, 1053, 7608, 547, 2564, 1153, 729, 476, 274, 269, 276, 269, 634, 3328, 6060, 593, 519, 14330, 2969, 729, 476, 2764, 563, 21357, 3427, 24419, 902, 912, 3086, 602, 519, 15280, 5168, 814, 1044, 6534, 267, 1346, 1053, 16529, 2614, 547, 2119, 741, 9939, 609, 1283, 6361, 7308, 2000, 626, 2564, 1153, 31213, 666, 1413, 1100, 2417, 982, 519, 3506, 2630, 267, 945, 723, 4951, 17284, 538, 1079, 2101, 6688, 538, 519, 2564, 3872, 2146, 1700, 1382, 543, 3119, 1416, 269, 1452, 2564, 1153, 31213, 723, 1044, 3964, 676, 519, 772, 2529, 269, 5240, 543, 2622, 7797, 12139, 269, 6481, 1153, 20823, 568, 513, 5650, 602, 568, 2451, 909, 547, 1454, 7521, 267, 1498, 713, 12139, 814, 6591, 513, 18019, 3239, 2094, 621, 814, 1044, 20823, 3506, 538, 519, 772, 2529, 563, 10932, 6481, 3427, 681, 21403, 912, 272, 269, 12370, 2160, 454, 273, 269, 8592, 22846, 2160, 454, 274, 269, 6115, 2160, 538, 853, 269, 8402, 454, 275, 269, 16099, 6280, 454, 276, 269, 2160, 540, 12425, 454, 277, 269, 2160, 540, 4993, 5842, 12770, 454, 278, 269, 12052, 2160, 5441, 540, 4284, 5974, 543, 31048, 976, 454, 279, 269, 18628, 2160, 454, 280, 269, 2160, 540, 12309, 7788, 1488, 4011, 454, 1015, 269, 23171, 2160, 454, 27650, 5516, 6481, 3427, 681, 21403, 912, 272, 269, 2160, 540, 6115, 454, 273, 269, 14822, 2657, 1299, 3163, 2160, 454, 274, 269, 2160, 540, 4993, 5842, 12770, 454, 275, 269, 12309, 3557, 2160, 5441, 540, 27777, 24403, 6925, 454, 276, 269, 2160, 540, 16506, 667, 592, 3578, 454, 277, 269, 2160, 540, 4993, 5842, 17630, 454, 278, 269, 2160, 540, 1715, 6792, 454, 279, 269, 2160, 540, 16855, 23885, 454, 280, 269, 2160, 540, 19578, 630, 305, 1195, 808, 269, 1299, 12359, 4068, 589, 269, 2961, 591, 994, 1015, 269, 2160, 540, 16506, 3828, 514, 20079, 454, 1556, 269, 2160, 540, 29157, 3122, 0, 951, 14244, 23666, 320, 31192, 476, 19740, 277, 268, 5379, 277, 276, 454, 3725, 341, 269, 2382, 269, 2405, 269, 21050, 269, 590, 269, 6754, 334, 2019, 269, 7918, 1100, 269, 275, 590, 14244, 6754, 334, 15567, 32220, 6210, 269, 476, 1001, 273, 454, 4041, 307, 9898, 9215, 5990, 11581, 3951, 3036, 454, 2304, 11530, 625, 538, 4915, 281, 12979, 990, 344, 13594, 538, 519, 6797, 454, 297, 657, 2946, 632, 27804, 5633, 1656, 8565, 6363, 559, 14833, 454, 293, 659, 592, 323, 1228, 632, 595, 328, 17845, 333, 857, 553, 631, 2946, 323, 545, 553, 632, 3687, 553, 717, 5028, 529, 267, 5617, 334, 21222, 517, 974, 267, 3687, 553, 717, 5028, 529, 267, 5696, 553, 559, 267, 661, 17733, 281, 18078, 17106, 11333, 3820, 454, 14582, 334, 21222, 517, 974, 267, 2904, 267, 476, 1001, 273, 454, 2304, 577, 990, 344, 13594, 538, 519, 6797, 269, 634, 2165, 834, 600, 32079, 257, 729, 2016, 676, 645, 2044, 853, 269, 27673, 547, 519, 26287, 639, 3662, 9908, 799, 814, 1044, 4330, 676, 4505, 2067, 1235, 269, 634, 2012, 729, 3144, 909, 538, 4789, 855, 519, 2165, 729, 5219, 547, 519, 3312, 5259, 8174, 566, 269, 898, 729, 2016, 547, 513, 2489, 1895, 540, 3662, 6047, 799, 8858, 15554, 641, 17377, 543, 729, 7550, 607, 513, 13598, 2012, 281, 993, 4141, 9346, 267, 513, 1689, 282, 3976, 513, 1106, 540, 4657, 3337, 276, 563, 14813, 1254, 540, 519, 6797, 676, 9980, 600, 4141, 9346, 1277, 8432, 339, 3821, 568, 519, 1034, 1455, 3063, 10784, 13656, 28658, 540, 993, 20623, 15633, 269, 634, 15495, 630, 339, 5268, 9926, 334, 2572, 264, 616, 5645, 547, 519, 6797, 676, 519, 22045, 18916, 269, 1717, 267, 538, 811, 982, 3368, 519, 2550, 972, 949, 581, 1100, 2963, 540, 993, 20623, 545, 3968, 538, 519, 22454, 543, 1100, 3935, 545, 15087, 616, 1459, 269, 589, 1889, 321, 15633, 4386, 693, 782, 6502, 269, 634, 3892, 568, 5001, 267, 855, 519, 2068, 568, 1454, 811, 1455, 538, 519, 21050, 923, 543, 5705, 1886, 923, 267, 609, 513, 1164, 11841, 538, 3127, 267, 9341, 4525, 540, 4000, 267, 6792, 543, 824, 2477, 540, 6239, 3013, 543, 8835, 1014, 16323, 272, 563, 763, 3355, 27295, 568, 606, 1858, 540, 679, 9195, 1738, 27394, 15727, 799, 1152, 2663, 9397, 1524, 547, 1106, 513, 13570, 8151, 689, 5216, 547, 476, 1321, 4699, 538, 8006, 269, 634, 1318, 27914, 568, 1034, 4749, 4299, 269, 769, 519, 1804, 11430, 6776, 15087, 519, 13570, 949, 2270, 26070, 29744, 267, 1973, 26911, 1570, 267, 3957, 993, 20623, 545, 6797, 26252, 269, 901, 568, 606, 16283, 21000, 1588, 2094, 6120, 5268, 2812, 616, 15534, 610, 616, 538, 1507, 2338, 269, 4706, 1543, 568, 4646, 676, 4508, 1030, 3539, 610, 28115, 730, 14817, 14231, 267, 3170, 5895, 2737, 267, 23925, 267, 543, 8280, 1738, 11935, 267, 16310, 519, 512, 5268, 9926, 334, 2572, 269, 2201, 14407, 6514, 267, 621, 568, 2250, 748, 267, 5394, 267, 538, 617, 5387, 267, 610, 2147, 547, 4195, 5779, 9329, 267, 2699, 29744, 267, 6010, 2989, 547, 12979, 990, 344, 13594, 269, 4475, 267, 519, 2165, 993, 20623, 545, 6797, 834, 11274, 947, 257, 568, 513, 3765, 333, 9593, 267, 4352, 1095, 20696, 269, 634, 2953, 4082, 1058, 581, 993, 20623, 545, 27394, 15727, 272, 268, 275, 563, 2304, 577, 990, 625, 616, 1507, 267, 21743, 267, 8988, 3165, 540, 519, 31745, 10394, 630, 22139, 3013, 264, 610, 1621, 13866, 529, 630, 8469, 10882, 3864, 264, 1920, 269, 1358, 616, 1644, 547, 519, 1200, 2590, 543, 13747, 676, 513, 1804, 5023, 267, 3592, 2141, 14178, 3297, 519, 3750, 267, 543, 676, 513, 5094, 11329, 2879, 719, 269, 1358, 7669, 538, 1804, 3506, 799, 949, 2270, 7366, 540, 1367, 3165, 269, 31745, 990, 625, 616, 1336, 543, 9575, 538, 5318, 2338, 538, 519, 11335, 269, 5221, 789, 616, 1507, 267, 3622, 476, 1015, 268, 1839, 4699, 630, 27917, 547, 476, 1015, 6279, 264, 538, 3259, 267, 12979, 990, 625, 616, 1419, 11821, 609, 521, 731, 1149, 630, 306, 731, 514, 7578, 12979, 990, 807, 1040, 31745, 990, 344, 13594, 568, 11593, 2139, 538, 1082, 17365, 543, 20614, 8637, 267, 2356, 538, 519, 1106, 540, 1507, 13740, 269, 31745, 990, 344, 13594, 568, 513, 5394, 267, 13671, 13594, 1500, 689, 2666, 12979, 990, 344, 2083, 7410, 267, 16693, 267, 14546, 543, 513, 2370, 4006, 547, 11218, 741, 30644, 8137, 269, 898, 729, 711, 2009, 547, 1265, 945, 1500, 519, 6476, 1063, 12979, 990, 344, 13594, 543, 519, 993, 20623, 545, 6797, 27394, 15727, 563, 272, 269, 1656, 8565, 667, 295, 267, 1656, 8565, 11219, 14243, 333, 1640, 667, 295, 269, 589, 1889, 321, 6403, 848, 269, 769, 281, 7638, 2158, 328, 681, 267, 674, 665, 3147, 807, 681, 267, 12575, 2803, 269, 2558, 520, 5964, 632, 3468, 860, 807, 269, 590, 14244, 6754, 334, 281, 16183, 928, 340, 282, 476, 1960, 277, 269, 533, 269, 476, 14625, 280, 268, 6795, 269, 1496, 25103, 23378, 273, 269, 1656, 8565, 6363, 559, 14833, 23404, 267, 623, 6511, 13382, 269, 1323, 11530, 625, 538, 4915, 269, 2271, 808, 13880, 11202, 565, 269, 476, 1220, 272, 282, 280, 281, 24833, 268, 277, 269, 1496, 25103, 23378, 274, 269, 5839, 338, 1048, 681, 301, 300, 267, 20900, 26076, 267, 2480, 515, 21838, 623, 297, 269, 11202, 1108, 540, 519, 20506, 269, 476, 273, 526, 1196, 269, 1715, 3840, 281, 26235, 12389, 339, 821, 282, 476, 2735, 278, 269, 533, 269, 476, 26727, 268, 279, 269, 1496, 25103, 23378, 275, 269, 623, 6511, 13382, 267, 1656, 8565, 6363, 559, 14833, 23404, 269, 1323, 11530, 625, 538, 4915, 281, 3407, 585, 1565, 267, 7744, 267, 19551, 543, 20803, 269, 5917, 2657, 2233, 3447, 7869, 4698, 269, 476, 1001, 271, 282, 1428, 281, 2568, 280, 268, 866, 269, 20396, 281, 476, 1015, 269, 1911, 278, 4882, 10441, 6795, 268, 25484, 268, 280, 1321, 277, 268, 273, 269, 1496, 25103, 23378, 276, 269, 16164, 1676, 22743, 269, 634, 5169, 540, 2564, 2474, 269, 476, 273, 526, 1196, 269, 22768, 281, 634, 13879, 1299, 12070, 9469, 7577, 282, 476, 3422, 272, 269, 1496, 25103, 9948 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1312, 2829, 1369, 519, 1985, 1900, 994, 268, 13268, 519, 10814, 547, 1608, 2041, 1151, 1457, 10549, 883, 16756, 6823, 8546, 630, 335, 1638, 621, 936, 519, 10814, 543, 5402, 3002, 621, 609, 519, 14788, 540, 707, 4421, 1359, 4401, 264, 610, 13471, 11746, 267, 610, 693, 2547, 1118, 873, 693, 1114, 7158, 267, 547, 2057, 1022, 2110, 902, 563, 7712, 27178, 630, 23409, 661, 2466, 1154, 667, 1675, 525, 264, 1152, 10141, 1699, 538, 835, 4287, 267, 789, 616, 9141, 676, 9823, 630, 29715, 1699, 267, 602, 1152, 8928, 538, 835, 4287, 1496, 3453, 1699, 316, 1040, 2334, 568, 1946, 621, 568, 1898, 547, 1921, 873, 5265, 538, 1931, 547, 1599, 563, 3383, 267, 547, 4137, 856, 267, 799, 835, 540, 519, 17066, 568, 1341, 263, 1321, 309, 264, 1496, 17884, 958, 2699, 316, 543, 799, 568, 910, 263, 271, 309, 264, 1496, 294, 21254, 610, 16140, 267, 7363, 3109, 3910, 11690, 538, 707, 1379, 3761, 3274, 3180, 519, 1079, 12904, 1524, 5196, 519, 1079, 1114, 1151, 1457, 21181, 593, 707, 10896, 14816, 630, 339, 820, 519, 9102, 2261, 902, 593, 519, 14816, 607, 513, 3391, 1916, 2252, 789, 798, 711, 1769, 909, 538, 713, 1259, 267, 596, 4440, 4448, 873, 609, 4636, 8701, 640, 269, 8347, 1586, 676, 11544, 741, 7158, 909, 630, 528, 16212, 519, 6467, 952, 596, 723, 835, 1040, 1411, 666, 6382, 1256, 2638, 713, 676, 1797, 540, 513, 1617, 9014, 538, 7154, 281, 476, 2568, 966, 284, 1496, 6518, 568, 519, 3090, 585, 9823, 14073, 11514, 6618, 1379, 3761, 1354, 596, 8399, 563, 6524, 4421, 1359, 267, 1118, 2386, 267, 596, 723, 707, 10814, 13988, 538, 519, 1318, 4287, 281, 2094, 519, 10814, 779, 2736, 719, 8559, 1058, 581, 538, 519, 1394, 540, 519, 3926, 267, 1118, 2386, 621, 10596, 519, 1079, 8142, 539, 9475, 267, 799, 786, 267, 538, 519, 1739, 1900, 267, 581, 1031, 547, 3180, 519, 10814, 538, 1747, 563, 5629, 596, 723, 1336, 1697, 8701, 640, 267, 4019, 930, 1151, 1457, 593, 519, 3844, 1151, 1457, 21181, 593, 707, 10896, 3613, 8692, 543, 1287, 1151, 1457, 1341, 1321, 966, 1496, 17141, 2699, 316, 3761, 10814, 3346, 547, 602, 630, 604, 707, 10814, 267, 899, 9553, 267, 814, 513, 7542, 1679, 4295, 607, 1164, 4908, 6846, 6882, 267, 602, 786, 711, 1118, 621, 3514, 883, 519, 23094, 8027, 2663, 593, 267, 2901, 1175, 2759, 621, 1055, 267, 610, 8831, 707, 12904, 585, 827, 476, 274, 268, 275, 4699, 899, 538, 1900, 476, 274, 1916, 9202, 2110, 523, 519, 717, 21254, 5911, 676, 827, 476, 278, 6515, 267, 14816, 1055, 827, 476, 276, 6515, 540, 519, 13471, 267, 1000, 20071, 267, 4172, 520, 609, 1151, 1457, 543, 1151, 1457, 621, 547, 519, 717, 21254, 1151, 1457, 14950, 563, 268, 6875, 1079, 2110, 631, 274, 25336, 540, 827, 476, 276, 6515, 3259, 543, 2046, 519, 3761, 10814, 1524, 1996, 519, 5377, 6676, 781, 1496, 299, 272, 316, 2627, 563, 303, 29888, 538, 519, 1379, 3761, 543, 630, 327, 2100, 2685, 264, 4585, 519, 27178, 1769, 909, 563, 1015, 269, 273, 1306, 14517, 634, 590, 12714, 454, 268, 3399, 609, 519, 5440, 4494, 700, 278, 543, 1747, 621, 26700, 1524, 630, 810, 602, 596, 666, 1224, 519, 6106, 23678, 1324, 1412, 299, 9707, 476, 278, 910, 5440, 910, 667, 12495, 728, 262, 1916, 268, 1325, 793, 700, 277, 543, 700, 276, 609, 519, 1603, 6849, 547, 700, 278, 781, 17498, 728, 630, 810, 602, 596, 666, 711, 1294, 621, 1070, 676, 741, 18921, 543, 741, 9475, 563, 268, 21115, 342, 873, 1927, 676, 1797, 540, 1614, 631, 274, 343, 1015, 25336, 630, 1492, 17684, 9843, 723, 547, 581, 4625, 15179, 539, 538, 519, 4831, 1630, 637, 540, 700, 276, 781, 17498, 728, 563, 268, 5410, 700, 275, 543, 700, 274, 547, 519, 10198, 267, 1175, 607, 700, 277, 543, 700, 276, 538, 1900, 476, 273, 269, 543, 476, 274, 563, 268, 5410, 519, 1412, 305, 532, 262, 1496, 299, 273, 316, 543, 6368, 519, 645, 18847, 23771, 1496, 299, 272, 316, 609, 7923, 27178, 547, 519, 10198, 267, 1175, 607, 700, 277, 543, 700, 276, 538, 1900, 476, 273, 269, 543, 476, 274, 269, 634, 10260, 1058, 1631, 2196, 998, 519, 7934, 538, 519, 8258, 563, 268, 1411, 666, 6368, 8936, 1614, 1507, 1582, 14194, 1127, 633, 12285, 21181, 607, 3952, 630, 296, 1131, 2303, 1582, 1507, 23287, 12285, 547, 1824, 625, 267, 3168, 899, 20256, 1916, 268, 7053, 2490, 519, 2898, 3364, 1472, 543, 1769, 621, 909, 2433, 994, 3721, 476, 1556, 281, 15012, 519, 26629, 806, 8625, 454, 763, 15937, 30767, 454, 5475, 519, 8955, 814, 8737, 678, 2120, 1944, 543, 5969, 856, 519, 5776, 2465, 267, 621, 568, 942, 585, 519, 13858, 4090, 540, 9322, 267, 1141, 519, 5776, 2465, 568, 17332, 883, 519, 23094, 781, 18921, 256, 2433, 994, 2252, 519, 1796, 2465, 568, 711, 17501, 912, 268, 1403, 519, 18921, 568, 1932, 6094, 267, 799, 666, 2049, 25864, 569, 1813, 547, 8795, 7109, 1734, 538, 28778, 6656, 11098, 269, 630, 2252, 596, 1931, 476, 277, 6515, 621, 568, 7363, 5594, 25182, 267, 799, 568, 15502, 267, 855, 538, 930, 2665, 621, 568, 513, 3787, 23198, 264, 3807, 632, 23829, 14517, 519, 23094, 267, 10544, 513, 5386, 3758, 543, 14219, 720, 519, 18921, 630, 517, 700, 274, 547, 700, 278, 264, 689, 519, 17498, 728, 630, 810, 666, 711, 581, 2938, 689, 519, 3330, 1070, 610, 5402, 23542, 880, 519, 16677, 652, 531, 781, 11098, 609, 513, 12966, 5070, 518, 563, 268, 1403, 621, 568, 1454, 1932, 2647, 543, 519, 5776, 2465, 568, 711, 4371, 16119, 267, 855, 695, 871, 956, 1472, 267, 16833, 930, 6106, 540, 12001, 20202, 11746, 1472, 519, 5776, 2465, 781, 16677, 652, 531, 563, 3682, 338, 1051, 1280, 8892, 5455, 326, 10232, 454, 268, 681, 16412, 6441, 3633, 5610, 454, 268, 2859, 5776, 2465, 268, 17637, 338, 454, 268, 7756, 590, 12714, 268, 17637, 338, 630, 2265, 320, 6438, 3889, 267, 3574, 267, 2702, 547, 3180, 2789, 1796, 4315, 693, 2899, 267, 3267, 994, 268, 21091, 6467, 538, 23094, 630, 296, 1185, 602, 538, 1250, 1101, 4528, 267, 855, 594, 1223, 711, 1265, 1022, 3044, 2213, 835, 267, 602, 568, 2139, 689, 9170, 538, 519, 1158, 267, 865, 594, 4682, 609, 519, 10260, 6467, 1935, 267, 602, 568, 711, 4470, 593, 2027, 23094, 12381, 994, 2252, 596, 723, 2093, 585, 602, 267, 5225, 1745, 1863, 547, 1577, 803, 917, 543, 547, 2303, 1022, 2093, 994, 31917, 8490, 3025, 256, 2433, 264, 18461, 1863, 547, 6085, 267, 10404, 1125, 543, 2671, 563, 7775, 952, 596, 2196, 883, 1022, 2042, 610, 991, 948, 610, 2417, 3137, 267, 1175, 3346, 803, 543, 649, 786, 9585, 602, 1927, 630, 16129, 25357, 267, 4787, 4286, 267, 12243, 8698, 518, 267, 3267, 1916, 27396, 730, 538, 519, 454, 17359, 25400, 21558, 2552, 652, 476, 1001, 277 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3057, 1388, 20556, 543, 849, 5600, 3835, 13756, 538, 519, 12745, 540, 4317, 3163, 910, 589, 5530, 540, 23779, 543, 11565, 692, 4089, 476, 272, 281, 4985, 547, 3057, 1388, 2078, 543, 7731, 16840, 10613, 692, 1103, 713, 1062, 3926, 267, 938, 8561, 4991, 593, 3695, 7365, 543, 1920, 2818, 2853, 998, 519, 7828, 540, 1514, 2257, 267, 4481, 2921, 513, 1413, 693, 519, 2093, 540, 8622, 8540, 543, 1293, 593, 269, 769, 4207, 2486, 267, 29281, 3347, 543, 3885, 616, 3964, 2390, 513, 5748, 540, 3656, 11731, 602, 14574, 2924, 267, 13800, 267, 543, 6788, 269, 1452, 11650, 2154, 11826, 15984, 547, 1876, 995, 5773, 547, 2327, 741, 26117, 267, 3976, 10771, 519, 1871, 540, 6284, 543, 4096, 593, 1369, 891, 24284, 780, 22704, 476, 273, 281, 19043, 540, 23779, 538, 3057, 1388, 20556, 543, 7731, 10613, 692, 13434, 10744, 4016, 547, 519, 6101, 13170, 610, 28431, 2016, 676, 513, 5078, 6392, 610, 1560, 547, 19472, 1808, 3540, 23118, 543, 11645, 269, 10738, 519, 2796, 540, 7365, 543, 1920, 2409, 267, 6284, 666, 1491, 3875, 5686, 267, 1519, 3656, 8622, 8540, 540, 12352, 267, 15366, 9021, 267, 18472, 2924, 267, 543, 1454, 811, 269, 6270, 2369, 1431, 4196, 547, 2149, 519, 4690, 540, 782, 6105, 3238, 1247, 10123, 4180, 6617, 543, 15364, 1369, 10820, 543, 7239, 780, 763, 1184, 540, 3478, 513, 2405, 718, 542, 853, 2086, 2871, 5875, 2465, 267, 607, 11329, 856, 538, 519, 6679, 1349, 267, 14550, 519, 4644, 540, 6284, 538, 17516, 9388, 543, 7303, 796, 32016, 2238, 269, 6684, 267, 538, 519, 2796, 540, 7365, 543, 7622, 2553, 267, 6284, 4249, 513, 2565, 1909, 538, 4570, 908, 519, 13597, 543, 1850, 1275, 540, 4296, 267, 7551, 23478, 4027, 543, 1489, 547, 1346, 2404, 609, 873, 780, 4089, 476, 274, 281, 8490, 667, 2570, 2201, 3842, 23779, 692, 307, 6412, 568, 513, 4105, 5057, 540, 1022, 1826, 540, 4276, 267, 3226, 865, 1369, 519, 2796, 540, 1920, 2818, 543, 22888, 269, 898, 568, 9112, 2390, 513, 4396, 5748, 540, 22371, 267, 19969, 267, 543, 2792, 269, 1879, 621, 4145, 1876, 2685, 11006, 12417, 267, 6284, 5713, 547, 7794, 7048, 593, 1063, 2621, 267, 607, 621, 2488, 6169, 540, 11428, 543, 3838, 5539, 2509, 16180, 4579, 783, 19647, 780, 3528, 10018, 532, 519, 10727, 540, 13075, 5638, 267, 607, 12006, 538, 519, 3355, 1349, 267, 2405, 718, 542, 853, 2086, 654, 1551, 656, 625, 3565, 14320, 547, 2679, 3972, 1851, 16873, 3769, 269, 10313, 2406, 267, 538, 7365, 543, 1920, 2818, 1305, 5725, 267, 6284, 3091, 2963, 540, 7029, 543, 1279, 3856, 6278, 267, 4061, 5807, 513, 2631, 540, 3354, 543, 6015, 1851, 4759, 540, 519, 1920, 780, 4089, 476, 275, 281, 7351, 12367, 543, 7464, 21509, 6201, 692, 25387, 267, 972, 814, 1044, 513, 3395, 535, 611, 2509, 1482, 20967, 7365, 8622, 8540, 5001, 269, 1306, 1256, 811, 6082, 9777, 622, 1482, 20967, 7365, 267, 789, 11760, 519, 3160, 2924, 540, 11806, 266, 2043, 547, 1106, 16155, 11006, 543, 6444, 12352, 269, 901, 1646, 19156, 519, 10083, 540, 6284, 538, 3384, 513, 5150, 543, 11931, 4259, 1141, 4891, 666, 16175, 2769, 2933, 543, 2671, 741, 2729, 1927, 780, 288, 8037, 1383, 540, 713, 13120, 3788, 538, 519, 2136, 2276, 267, 1141, 519, 10966, 7040, 12199, 538, 744, 828, 613, 325, 749, 642, 269, 32095, 2471, 630, 1001, 276, 264, 602, 1533, 7400, 536, 753, 593, 1482, 20967, 7365, 941, 796, 6247, 6627, 267, 18867, 8260, 908, 18487, 8622, 8540, 540, 971, 18787, 269, 901, 19506, 3903, 729, 513, 1713, 17636, 585, 15156, 540, 3160, 7365, 2924, 267, 10223, 519, 1898, 1599, 6284, 4249, 538, 5009, 7862, 543, 5126, 1369, 2528, 780, 12234, 267, 2413, 2029, 814, 2965, 4843, 1007, 7399, 585, 6552, 8622, 8540, 3157, 267, 7175, 15185, 543, 3885, 547, 1685, 4013, 1870, 2228, 269, 7913, 2405, 718, 542, 853, 2086, 2871, 5875, 4315, 267, 607, 606, 3236, 267, 1631, 5512, 1710, 534, 857, 619, 547, 20716, 6461, 6510, 4574, 1510, 519, 10421, 585, 2168, 6228, 267, 11744, 875, 5647, 666, 20928, 543, 3986, 6284, 5574, 780, 6962, 692, 1607, 1576, 1062, 3926, 8711, 519, 2956, 540, 6284, 543, 849, 3972, 1369, 519, 2796, 540, 7365, 543, 1920, 2409, 269, 3414, 9488, 6268, 543, 2502, 8320, 267, 10453, 786, 6157, 10536, 513, 4514, 1620, 540, 4010, 875, 891, 3741, 14441, 6617, 267, 3354, 267, 543, 14619, 1369, 3885, 543, 4529, 269, 5015, 267, 676, 10992, 856, 1459, 3270, 543, 10124, 267, 27466, 525, 786, 5660, 519, 5571, 4720, 540, 7365, 543, 1920, 2818, 2853, 543, 741, 1764, 593, 3677, 6848, 8155, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 7072, 634, 3498, 5650, 267, 4122, 9833, 9744, 267, 568, 513, 2629, 3693, 547, 3181, 6064, 269, 21733, 3931, 513, 2405, 718, 542, 853, 2086, 2667, 4269, 14122, 6297, 1719, 547, 1344, 267, 9967, 540, 519, 4901, 540, 16048, 6284, 543, 3617, 6054, 269, 901, 711, 1175, 18715, 519, 3106, 543, 3354, 540, 519, 4308, 2943, 11338, 6411, 607, 606, 21677, 8957, 2009, 10363, 4247, 269, 634, 7589, 540, 8492, 267, 971, 607, 2883, 5238, 543, 30549, 720, 6109, 3549, 267, 2882, 606, 3606, 4494, 540, 3972, 10290, 1465, 547, 519, 5650, 267, 1128, 3739, 1582, 21873, 538, 1312, 16873, 1303, 9229, 269, 634, 5383, 540, 2405, 718, 542, 853, 2086, 2405, 718, 542, 853, 2086, 6796, 3038, 3187, 2667, 584, 1734, 4228, 2250, 519, 5401, 6718, 269, 1635, 1818, 1978, 519, 17258, 540, 2804, 6119, 267, 891, 1028, 584, 1734, 1039, 547, 14335, 3972, 2508, 10838, 519, 16873, 1303, 9229, 269, 22217, 4328, 519, 4483, 540, 1760, 7724, 2501, 547, 581, 711, 3274, 606, 3390, 540, 2773, 2943, 513, 21981, 547, 519, 6870, 2497, 593, 799, 891, 16306, 818, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 11321, 5846, 543, 7731, 13756, 257, 607, 851, 540, 834, 24719, 13316, 1315, 31654, 1682, 1299, 26492, 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, 22564, 5525, 538, 16520, 29576, 910, 4197, 1215, 5678, 20710, 2471, 27639, 692, 8702, 267, 1762, 3988, 256, 4653, 649, 2811, 2469, 547, 7832, 593, 606, 3078, 3460, 998, 519, 4241, 1158, 540, 1893, 543, 3332, 676, 3695, 22564, 5525, 267, 799, 4249, 513, 2629, 1909, 538, 13354, 3332, 269, 1284, 786, 1451, 875, 6037, 2209, 948, 3142, 2984, 689, 1114, 4529, 6251, 547, 721, 1247, 8497, 741, 9759, 543, 5898, 269, 1924, 1577, 781, 4685, 1318, 538, 2439, 5331, 596, 616, 2542, 707, 5172, 1433, 267, 855, 10393, 8275, 621, 4992, 9490, 1317, 930, 1913, 1810, 1405, 3100, 3833, 1318, 269, 898, 1522, 723, 1044, 12261, 689, 1776, 1893, 256, 1879, 4589, 2328, 2835, 538, 4654, 824, 982, 16523, 267, 789, 991, 2576, 2027, 1572, 513, 1412, 10520, 331, 1807, 262, 547, 6460, 1346, 9589, 10600, 883, 707, 5065, 11469, 865, 602, 3025, 666, 2972, 873, 8449, 269, 1809, 1018, 2306, 8144, 1312, 4101, 543, 1271, 286, 2913, 781, 1265, 856, 2439, 1262, 1432, 568, 22564, 5525, 15140, 9558, 3175, 5525, 568, 513, 2361, 6131, 547, 1620, 875, 2854, 5931, 666, 2951, 1063, 1585, 4654, 543, 4529, 1247, 4509, 741, 3312, 2495, 267, 2511, 267, 9644, 267, 4664, 267, 543, 1764, 269, 3807, 899, 6061, 13410, 267, 6037, 2209, 4062, 1927, 1142, 2262, 267, 4845, 267, 543, 2856, 267, 4180, 602, 4986, 4991, 4503, 2059, 519, 1259, 269, 1635, 4974, 713, 1184, 267, 5640, 3605, 811, 827, 10409, 16082, 267, 2686, 3604, 267, 543, 5339, 2553, 1031, 2066, 519, 8608, 780, 1262, 3963, 798, 649, 10261, 25927, 2209, 15140, 9558, 331, 2209, 957, 607, 13123, 8220, 3309, 2950, 543, 4687, 2189, 5380, 269, 1358, 5512, 1004, 945, 3717, 1114, 4654, 547, 5968, 267, 1174, 267, 543, 5660, 835, 1776, 781, 1568, 269, 9453, 6037, 2209, 267, 1082, 25704, 971, 607, 9089, 267, 9954, 267, 14676, 267, 9413, 267, 543, 1256, 3381, 3756, 9327, 1405, 3914, 3564, 741, 3312, 1893, 7496, 269, 5994, 2760, 1373, 2111, 547, 1224, 16452, 25260, 610, 4585, 22456, 717, 3031, 2993, 8874, 1175, 1317, 789, 941, 2813, 538, 1114, 4654, 2439, 1262, 1692, 6496, 22564, 4518, 15140, 4263, 922, 4295, 267, 8144, 3322, 14291, 1913, 689, 835, 1893, 547, 1776, 1247, 5329, 519, 5497, 5048, 16856, 269, 1717, 267, 972, 781, 1454, 811, 547, 621, 982, 10742, 519, 3750, 256, 589, 1434, 6037, 1807, 15109, 2188, 899, 2796, 267, 3159, 267, 18986, 1682, 267, 5595, 10096, 267, 5309, 338, 267, 24668, 267, 30053, 267, 11733, 267, 543, 3140, 8100, 1107, 1818, 2386, 9039, 540, 891, 2609, 1205, 4503, 1282, 519, 4483, 269, 2991, 782, 267, 13830, 519, 6891, 540, 519, 3312, 960, 568, 1898, 2439, 2690, 1383, 267, 2015, 519, 3943, 8360, 834, 14765, 773, 632, 642, 643, 516, 2437, 799, 1797, 834, 2809, 540, 2713, 1701, 1403, 2576, 6836, 547, 14377, 621, 12777, 2262, 16519, 30087, 883, 2296, 267, 621, 1131, 6336, 922, 19259, 543, 19621, 1871, 269, 5502, 267, 513, 9952, 6037, 1807, 27711, 519, 18941, 3297, 519, 4082, 267, 4611, 538, 513, 18991, 21235, 6697, 602, 24889, 609, 2296, 10529, 780, 1262, 29936, 538, 22564, 4373, 15919, 267, 1978, 2035, 610, 5515, 540, 4633, 3274, 1810, 1405, 2291, 538, 3077, 4654, 267, 8506, 3860, 1966, 9010, 1983, 689, 6037, 2209, 269, 1280, 3236, 267, 5545, 814, 1896, 2157, 540, 2184, 8864, 3710, 883, 922, 8239, 1062, 267, 6466, 2296, 3085, 1405, 6655, 2463, 610, 1106, 1275, 3833, 607, 5705, 569, 269, 1677, 10994, 971, 2152, 267, 6037, 2209, 1590, 5490, 4514, 883, 519, 2707, 1570, 543, 2528, 267, 4466, 5499, 2081, 547, 2769, 14542, 2093, 3927, 780, 11101, 267, 1169, 1893, 27372, 936, 942, 267, 15268, 547, 6848, 10593, 543, 6639, 7760, 269, 901, 3586, 1689, 8591, 6106, 540, 6988, 547, 8144, 2094, 7215, 2442, 1242, 5063, 949, 3668, 5973, 757, 538, 4587, 4654, 269, 4935, 267, 9363, 8242, 609, 10409, 3466, 3587, 4105, 585, 6037, 2209, 2324, 2066, 2789, 10209, 1132, 780, 1103, 3932, 267, 22564, 5525, 5713, 607, 606, 16832, 1907, 538, 8744, 3309, 2148, 2137, 1927, 269, 3414, 6297, 2079, 543, 15826, 9542, 267, 6037, 2209, 2327, 6209, 15377, 1851, 2518, 9458, 267, 5807, 7279, 543, 7071, 585, 4914, 4529, 269, 1306, 596, 3136, 3395, 607, 513, 5467, 267, 1832, 3206, 827, 875, 707, 5172, 2835, 1223, 1413, 952, 4843, 538, 1114, 4654, 1107, 621, 781, 5963, 2247, 1532, 17344, 1782, 256, 8414, 2542, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 685, 763, 1981, 540, 12955, 689, 6391, 729, 4389, 13497, 17483, 32747, 7905, 590, 21417, 1066, 700, 4768, 6199, 2968, 19832, 609, 6391, 950, 646, 267, 607, 513, 1762, 812, 267, 1705, 1010, 22631, 1222, 538, 13095, 1457, 269, 1261, 2663, 2968, 606, 18368, 28601, 4390, 1369, 15499, 6391, 563, 7069, 1101, 2462, 552, 675, 6390, 4090, 729, 950, 594, 267, 1310, 2348, 2016, 2234, 23956, 547, 519, 2634, 630, 327, 2089, 665, 25283, 264, 540, 1007, 23899, 14148, 998, 513, 17209, 693, 519, 4972, 540, 22845, 267, 1483, 2213, 602, 782, 8229, 4296, 547, 519, 2281, 602, 1185, 20374, 1813, 547, 519, 2234, 23956, 4797, 547, 581, 22555, 538, 519, 1482, 1259, 269, 2334, 568, 267, 519, 13539, 540, 8229, 4296, 1281, 711, 4096, 593, 519, 4527, 540, 519, 18579, 2281, 267, 543, 519, 6602, 1500, 803, 1589, 602, 594, 1131, 6108, 1250, 1272, 3257, 2596, 1382, 883, 519, 1646, 540, 519, 2634, 563, 7069, 2034, 2462, 552, 675, 6390, 4090, 7018, 950, 594, 729, 2866, 547, 1831, 513, 18874, 543, 2542, 513, 1433, 593, 2242, 547, 519, 8229, 3761, 547, 519, 23856, 6989, 1310, 4758, 4332, 267, 3370, 676, 519, 1158, 1922, 13904, 5507, 6413, 267, 853, 269, 8575, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 9558, 3175 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 594, 1152, 5828, 1394, 2899, 607, 2484, 607, 1763, 20403, 282, 855, 594, 1185, 3232, 5359, 689, 519, 11653, 538, 5279, 267, 543, 10492, 945, 3357, 689, 519, 15493, 1419, 6045, 547, 803, 519, 2898, 3364, 267, 609, 513, 6609, 540, 519, 20739, 22486, 14884, 782, 519, 1259, 689, 27850, 6807, 547, 24611, 269, 594, 993, 18617, 602, 519, 1981, 547, 1272, 547, 519, 8030, 543, 2367, 593, 602, 16456, 4628, 3160, 539, 602, 593, 519, 1236, 3305, 880, 11060, 267, 1572, 585, 607, 1164, 606, 1931, 540, 10100, 267, 543, 4628, 3160, 539, 621, 538, 2956, 269, 12846, 267, 594, 8969, 952, 972, 581, 1022, 13766, 538, 942, 540, 4708, 547, 10891, 513, 24767, 16887, 547, 960, 519, 4108, 16456, 338, 538, 942, 540, 2112, 267, 1317, 538, 4708, 891, 1482, 2367, 2744, 782, 519, 2556, 1995, 267, 4865, 782, 519, 29412, 543, 10100, 540, 7980, 267, 543, 1152, 991, 519, 17573, 4027, 543, 6351, 540, 519, 2556, 5721, 28621, 731, 267, 799, 949, 581, 7768, 540, 519, 9663, 331, 537, 326, 1117, 2367, 4947, 543, 2469, 267, 610, 540, 3877, 1500, 689, 519, 2199, 575, 1551, 11143, 547, 519, 15493, 269, 0, 2026, 649, 11441, 585, 513, 22928, 2104, 267, 5907, 9657, 3435, 1404, 513, 2629, 1909, 538, 5883, 552, 2914, 4292, 19100, 269, 769, 713, 3296, 267, 649, 786, 2263, 519, 2956, 540, 5907, 9657, 3435, 543, 875, 789, 3565, 547, 513, 4264, 543, 3039, 2104, 269, 1284, 786, 1865, 519, 2640, 540, 9657, 552, 2914, 4292, 543, 6338, 930, 18019, 11418, 9657, 3549, 563, 268, 18329, 9657, 3435, 616, 1898, 585, 2679, 513, 4264, 543, 3039, 2104, 563, 268, 5682, 2029, 10124, 267, 971, 607, 3859, 543, 2842, 1379, 267, 616, 30507, 1648, 5108, 563, 268, 4826, 5726, 4066, 616, 2629, 538, 5466, 519, 8833, 593, 1216, 2200, 563, 268, 21992, 906, 538, 552, 2914, 4292, 9657, 2553, 616, 5355, 519, 4398, 540, 5907, 3653, 12871, 563, 268, 19889, 7888, 2326, 543, 4070, 2409, 616, 4227, 938, 2825, 11640, 563, 2691, 621, 2501, 547, 5907, 9657, 3435, 267, 3549, 899, 476, 275, 5682, 14136, 808, 6064, 31203, 616, 3056, 519, 1259, 269, 1358, 1683, 6325, 543, 3608, 552, 2914, 4292, 9657, 2533, 269, 1411, 666, 3346, 873, 693, 476, 25834, 268, 28510, 268, 279, 2420, 274, 547, 1451, 811, 827, 741, 2533, 543, 3565, 547, 513, 22928, 2104, 563, 763, 19043, 540, 661, 2914, 4292, 27822, 454, 292, 2914, 4292, 9657, 568, 1898, 585, 10893, 519, 2825, 1764, 540, 5907, 3457, 543, 4180, 519, 3743, 12871, 540, 13818, 2326, 269, 1306, 519, 1158, 3587, 5051, 882, 5050, 593, 2029, 267, 519, 2179, 540, 5907, 3653, 6383, 5170, 547, 1332, 693, 606, 24034, 2557, 269, 9453, 1697, 9657, 543, 2359, 267, 552, 2914, 4292, 666, 3565, 547, 5533, 267, 4199, 22930, 267, 543, 1072, 10898, 563, 306, 20980, 9657, 3435, 616, 2629, 538, 19086, 891, 2942, 2360, 269, 1635, 9657, 5907, 3653, 267, 3407, 2326, 971, 607, 4154, 267, 8988, 267, 7601, 267, 543, 4686, 3618, 8407, 666, 581, 16626, 543, 32419, 538, 519, 2504, 540, 1007, 3457, 267, 4227, 519, 991, 585, 5599, 543, 25137, 2067, 2200, 269, 3958, 267, 3743, 552, 2914, 4292, 9657, 11151, 13818, 6878, 899, 1291, 267, 16035, 267, 543, 20017, 26606, 689, 8764, 908, 519, 1604, 543, 30286, 4220, 547, 1480, 1072, 563, 19931, 5907, 3653, 2359, 568, 711, 1152, 1271, 585, 519, 1459, 855, 849, 585, 2104, 5481, 269, 1635, 12561, 4264, 2853, 267, 649, 666, 2327, 513, 15777, 543, 8902, 1604, 585, 6000, 543, 585, 1346, 547, 2097, 269, 898, 568, 938, 5539, 547, 1489, 552, 2914, 4292, 9657, 7341, 543, 3895, 513, 9764, 4346, 1141, 5907, 3457, 616, 32419, 267, 30465, 267, 610, 13381, 538, 606, 13476, 7874, 6073, 563, 763, 10020, 540, 476, 275, 5682, 14136, 808, 6064, 31203, 454, 14071, 693, 476, 275, 5682, 14136, 808, 6064, 31203, 616, 8149, 547, 3246, 4264, 9657, 3435, 585, 5907, 3653, 269, 3776, 6131, 2319, 5849, 602, 782, 6394, 552, 2914, 4292, 568, 17411, 543, 26356, 540, 19100, 267, 20170, 547, 7453, 2825, 6042, 269, 1284, 4225, 519, 10868, 540, 3407, 3334, 585, 9657, 543, 960, 5702, 609, 14468, 9657, 6703, 547, 2327, 519, 1697, 2126, 540, 13818, 2326, 269, 13555, 721, 693, 476, 25834, 268, 28510, 268, 279, 2420, 274, 547, 8430, 513, 4584, 1575, 543, 3565, 547, 513, 22928, 2104, 3034, 347, 19119, 540, 661, 2914, 4292, 27822, 281, 2008, 347, 24965, 806, 5533, 543, 2825, 3441, 3361, 676, 16789, 12871, 2008, 347, 8256, 12883, 2067, 2200, 998, 519, 6051, 540, 3407, 2326, 2008, 347, 7093, 24000, 13818, 6878, 689, 8764, 908, 519, 1604, 2008, 347, 11045, 2176, 519, 5912, 547, 513, 9764, 4346, 543, 4264, 2853, 2008, 3528, 9301, 519, 4644, 540, 552, 2914, 4292, 9657, 543, 8362, 10283, 538, 3743, 5907, 3653, 2359, 267, 649, 666, 3565, 547, 2679, 513, 22928, 543, 811, 4264, 2104, 563, 16675, 5303, 11627, 725, 454, 3849, 9330, 906, 538, 3039, 2029, 267, 1519, 3859, 1379, 267, 2842, 1379, 267, 543, 6915, 30669, 267, 616, 30507, 519, 1259, 649, 5352, 1648, 543, 6117, 519, 991, 585, 4264, 9657, 3435, 269, 1452, 10124, 616, 711, 1152, 4227, 938, 13829, 593, 8093, 10173, 855, 849, 7700, 547, 513, 22928, 543, 811, 4264, 2104, 563, 23530, 1648, 814, 2938, 1713, 7760, 538, 2487, 1296, 269, 4400, 3887, 11797, 25675, 2281, 543, 3859, 9075, 723, 1500, 3859, 1379, 1949, 811, 4052, 543, 1942, 15807, 269, 901, 814, 3366, 547, 2799, 10073, 540, 3859, 1648, 607, 513, 7791, 1648, 2707, 585, 10821, 543, 5010, 5656, 269, 4340, 547, 519, 9891, 6052, 24322, 5948, 267, 519, 3859, 2872, 4810, 513, 2594, 31771, 2208, 538, 476, 1708, 271, 267, 609, 606, 3606, 476, 866, 269, 273, 17254, 1177, 30476, 540, 3859, 8704, 563, 20360, 1379, 568, 1776, 1883, 6345, 538, 519, 3039, 2029, 4838, 269, 5510, 17060, 2842, 11396, 543, 1507, 8397, 2842, 1379, 1949, 616, 19713, 519, 1379, 540, 2842, 547, 5352, 5201, 269, 634, 6820, 6489, 6052, 7027, 5359, 602, 519, 19469, 8704, 2842, 1379, 4390, 6603, 476, 278, 6246, 17254, 1177, 30476, 676, 519, 1439, 540, 476, 1708, 271, 267, 20209, 9760, 519, 3395, 2956, 540, 2842, 1648, 538, 519, 2518, 1648, 3575, 563, 27807, 30669, 267, 6508, 689, 5214, 2326, 899, 1031, 5986, 3282, 543, 6694, 3653, 267, 849, 2709, 513, 4264, 4244, 547, 2757, 8093, 10173, 269, 1358, 723, 519, 1761, 547, 581, 3327, 16250, 23018, 543, 666, 948, 2569, 8511, 3154, 5434, 269, 634, 4139, 24997, 6052, 10837, 5359, 602, 6915, 325, 3241, 2504, 6603, 476, 14917, 5479, 20990, 538, 476, 1708, 271, 267, 7700, 547, 513, 811, 4264, 6283, 5823, 563, 347, 16675, 5303, 11627, 725, 1475, 3849, 9330, 906, 2008, 16085, 6897, 5295, 1475, 11947, 3887, 11797, 25675, 2281, 267, 3859, 9075, 2008, 347, 20360, 5295, 1475, 19423, 17060, 2842, 11396, 267, 1507, 8397, 2842, 1379, 1949, 2008, 21270, 1470, 30669, 1475, 32056, 1882, 689, 5214, 2326, 267, 1761, 3327, 16250, 23018, 4492, 2008, 12850, 11094, 16370, 454, 12850, 5726, 4066, 267, 971, 607, 5100, 12555, 1949, 543, 964, 531, 1588, 2409, 267, 616, 2629, 538, 19086, 519, 2810, 2604, 593, 938, 1216, 2200, 269, 2060, 519, 2518, 2551, 6385, 3395, 543, 2916, 1689, 12615, 908, 1216, 20317, 267, 621, 814, 1831, 16122, 547, 9772, 5499, 3435, 602, 3895, 3608, 1216, 946, 543, 5726, 563, 27319, 12555, 1949, 723, 7153, 607, 513, 3014, 7302, 9734, 538, 519, 2361, 540, 1216, 2359, 269, 1452, 1949, 8415, 4359, 8596, 543, 4365, 1239, 547, 11126, 12555, 16131, 267, 4180, 602, 1216, 568, 1152, 1031, 950, 543, 1141, 621, 568, 2877, 269, 1635, 4227, 1216, 729, 5653, 998, 21381, 543, 20359, 267, 5100, 12555, 1949, 948, 18359, 1216, 2200, 1247, 4509, 2635, 8916, 543, 7031, 563, 5327, 531, 1588, 267, 593, 519, 824, 1688, 267, 3091, 513, 1259, 547, 7148, 883, 513, 12303, 19957, 2707, 540, 1216, 281, 519, 5836, 269, 901, 1184, 3322, 9427, 6070, 543, 824, 23606, 689, 26869, 547, 1118, 621, 5078, 585, 6704, 267, 6683, 267, 543, 4853, 946, 269, 2755, 964, 531, 1588, 814, 12926, 1044, 1648, 25673, 543, 7199, 267, 7760, 538, 2029, 723, 1500, 621, 811, 3608, 543, 10097, 267, 6679, 909, 1007, 7399, 585, 1216, 3761, 538, 25545, 4525, 563, 347, 15650, 540, 4826, 11094, 16370, 1475, 14611, 17972, 2008, 347, 27319, 7054, 3419, 566, 7010, 1475, 1700, 22982, 8596, 543, 4365, 1239, 454, 1700, 8838, 4476, 12555, 16131, 454, 1700, 21079, 1216, 729, 5653, 454, 1700, 19321, 2635, 8916, 543, 7031, 454, 347, 5327, 531, 1588, 1475, 1700, 17179, 6070, 543, 23606, 689, 26869, 454, 1700, 8073, 15195, 585, 1585, 3096, 454, 1700, 5890, 21505, 7399, 585, 1216, 3761, 538, 25545, 4525, 454, 12850, 5726, 4066, 267, 971, 607, 5100, 12555, 1949, 543, 964, 531, 1588, 267, 616, 4730, 513, 2629, 1909, 538, 5466, 519, 2810, 8833, 593, 1216, 2200, 269, 4256, 10073, 711, 1152, 2337, 2327, 513, 5812, 1216, 3761, 585, 1585, 2115, 855, 849, 8309, 547, 519, 2949, 6940, 540, 938, 4541, 563, 1103, 3932, 267, 1216, 5726, 4066, 616, 4105, 2645, 538, 938, 1391, 585, 513, 4264, 2104, 269, 1635, 14139, 5100, 12555, 1949, 543, 19713, 519, 1761, 540, 964, 531, 1588, 267, 649, 666, 11694, 519, 4398, 540, 1216, 6165, 267, 7413, 3653, 267, 543, 5150, 1216, 1569, 585, 2104, 5481, 269, 898, 568, 1898, 585, 2043, 267, 2950, 267, 543, 6608, 547, 9784, 891, 10124, 543, 960, 2509, 3743, 1216, 2359, 2853, 563, 3849, 9330, 906, 538, 661, 2914, 4292, 27822, 9828, 454, 16676, 6681, 7760, 538, 552, 2914, 4292, 9657, 2553, 616, 5355, 519, 4398, 543, 7145, 540, 5907, 3653, 12871, 267, 4227, 2825, 2800, 269, 1452, 5499, 2553, 616, 30507, 519, 1259, 649, 6023, 5907, 3653, 267, 4180, 602, 3407, 2200, 616, 16626, 543, 5739, 6878, 616, 5265, 7307, 543, 26356, 540, 563, 3080, 971, 13120, 568, 519, 946, 540, 12747, 3157, 538, 24905, 1782, 543, 18570, 5907, 3653, 3334, 269, 901, 2029, 2636, 585, 5488, 543, 811, 4977, 9668, 540, 2326, 267, 21924, 519, 6051, 540, 3407, 8407, 899, 4154, 267, 8988, 267, 543, 7601, 269, 898, 849, 5849, 602, 13818, 6878, 971, 607, 1291, 267, 16035, 267, 543, 18723, 29472, 1218, 616, 9108, 13939, 543, 26356, 540, 267, 10893, 741, 1764, 593, 519, 1604, 543, 1480, 1072, 563, 12234, 267, 519, 1646, 540, 811, 3608, 9657, 2409, 814, 3366, 547, 519, 5137, 540, 7463, 6703, 602, 666, 6023, 1114, 2010, 540, 5907, 3653, 269, 1280, 1383, 267, 930, 6703, 723, 519, 12588, 547, 22120, 1950, 5907, 3457, 899, 16389, 267, 24195, 267, 543, 14342, 267, 1247, 1866, 1445, 593, 3677, 3688, 971, 607, 751, 4582, 2888, 543, 14023, 2209, 269, 901, 29286, 2636, 585, 20979, 9657, 3157, 3358, 547, 519, 1808, 4170, 540, 1142, 1826, 540, 5907, 3653, 267, 4611, 538, 2362, 9657, 3928, 543, 4389, 25087, 3653, 563, 4467, 3966, 625, 899, 476, 275, 5682, 14136, 808, 6064, 31203, 616, 693, 519, 21282, 540, 891, 7760, 269, 1358, 20647, 538, 552, 2914, 4292, 9657, 543, 1683, 3102, 2533, 547, 19100, 26565, 540, 2025, 11418, 269, 1635, 24574, 1359, 609, 18019, 3549, 899, 476, 275, 5682, 14136, 808, 6064, 31203, 267, 2043, 543, 3906, 666, 2327, 602, 741, 5907, 3653, 568, 17411, 538, 606, 13476, 6857, 6073, 267, 7700, 547, 519, 11091, 540, 938, 4541, 563, 347, 3849, 9330, 906, 538, 661, 2914, 4292, 27822, 9828, 1475, 19119, 2008, 347, 8505, 558, 730, 24905, 1782, 543, 18570, 3157, 1475, 1700, 674, 2120, 543, 811, 4977, 9668, 540, 2326, 454, 1700, 7665, 574, 3278, 6051, 540, 3407, 8407, 454, 1700, 15822, 569, 21555, 543, 771, 5099, 540, 13818, 6878, 454, 16085, 2133, 1242, 9657, 6703, 1475, 1700, 29114, 1819, 9657, 3157, 585, 1114, 2010, 540, 5907, 3653, 454, 1700, 14451, 9657, 3928, 543, 4389, 25087, 3653, 454, 16676, 6681, 7760, 538, 552, 2914, 4292, 9657, 2553, 616, 5355, 519, 4398, 543, 7145, 540, 5907, 3653, 12871, 267, 4227, 2825, 2800, 563, 275, 5682, 14136, 808, 6064, 31203, 281, 31327, 519, 10158, 454, 275, 5682, 14136, 808, 6064, 31203, 568, 513, 18019, 552, 2914, 4292, 9657, 2754, 602, 568, 6131, 547, 5009, 3743, 5907, 3653, 12871, 269, 1358, 2709, 3102, 2533, 547, 2043, 267, 4213, 267, 543, 3906, 267, 4180, 602, 2025, 5907, 3457, 616, 13381, 538, 606, 13476, 6857, 6073, 563, 4415, 513, 7029, 547, 4264, 2853, 267, 476, 275, 5682, 14136, 808, 6064 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 25200, 281, 27285, 20540, 281, 27286, 1607, 1449, 5161, 540, 476, 276, 2110, 2626, 2055, 267, 476, 1015, 2110, 1557, 2055, 267, 543, 476, 272, 630, 1993, 476, 274, 264, 1557, 3584, 563, 14112, 8382, 5999, 454, 272, 269, 1548, 568, 593, 519, 22917, 680, 7660, 781, 4541, 888, 273, 269, 2991, 21945, 593, 519, 3618, 543, 5870, 1010, 1101, 3618, 13442, 267, 1018, 1281, 519, 2370, 19036, 798, 888, 274, 269, 1548, 3280, 1281, 519, 1134, 538, 519, 9390, 1118, 888, 275, 269, 634, 11052, 540, 1216, 568, 1031, 538, 834, 763, 9741, 13584, 257, 547, 2099, 519, 1272, 3766, 1516, 3196, 267, 2436, 621, 568, 2168, 610, 5289, 269, 1548, 1287, 1281, 713, 19818, 6709, 523, 4221, 10788, 2099, 888, 276, 269, 6904, 1281, 519, 15669, 2161, 972, 616, 811, 540, 593, 3618, 267, 2520, 20802, 610, 10703, 1243, 2367, 888, 14112, 4828, 5999, 454, 272, 269, 4208, 568, 519, 2370, 19036, 7753, 609, 18354, 607, 646, 6763, 538, 519, 13675, 547, 519, 6264, 9782, 4677, 888, 273, 269, 1548, 568, 519, 3017, 1063, 519, 2937, 543, 1126, 267, 519, 12681, 543, 2370, 19036, 267, 538, 2474, 540, 741, 5114, 547, 519, 11344, 13131, 888, 274, 269, 634, 2370, 19036, 814, 4121, 602, 1018, 568, 1898, 568, 15865, 269, 1215, 1281, 646, 4019, 713, 547, 519, 14834, 6429, 540, 14884, 678, 5241, 713, 1259, 543, 602, 888, 275, 269, 1548, 568, 9670, 827, 519, 1134, 888, 276, 269, 1306, 519, 2370, 19036, 8188, 1010, 13393, 609, 519, 13131, 267, 1018, 568, 646, 4743, 888, 277, 269, 1548, 3947, 519, 9390, 922, 31393, 540, 5070, 26124, 538, 519, 7599, 2775, 910, 922, 5898, 888, 278, 269, 1879, 519, 1439, 568, 2282, 267, 519, 12681, 814, 1100, 811, 1216, 547, 4235, 543, 519, 2370, 19036, 814, 1336, 1018, 646, 729, 3168, 585, 267, 513, 7415, 3364, 4523, 269, 1548, 568, 1114, 827, 519, 3406, 585, 519, 1134, 286, 1548, 4523, 593, 713, 3942, 540, 519, 3460, 602, 568, 1007, 888, 279, 269, 634, 6467, 2006, 568, 513, 1268, 4171, 3527, 798, 723, 4539, 269, 769, 602, 1259, 646, 568, 1114, 689, 519, 824, 2937, 18840, 18196, 269, 1215, 568, 646, 2147, 888, 280, 269, 1215, 1281, 519, 6521, 540, 8226, 2097, 547, 12032, 538, 519, 2078, 1063, 519, 16541, 543, 519, 2370, 19036, 888, 1015, 269, 2991, 9683, 519, 3670, 30563, 267, 519, 2370, 19036, 814, 4121, 1082, 1919, 269, 769, 1010, 2063, 3643, 646, 4667, 547, 723, 26845, 602, 646, 814, 2451, 1010, 3134, 31906, 531, 8768, 782, 4805, 269, 4208, 3085, 1405, 646, 2132, 286, 4208, 1281, 646, 3136, 1010, 3460, 888, 2237, 606, 1557, 585, 21450, 540, 519, 1739, 3584, 912, 13625, 13445, 476, 272, 454, 8005, 568, 519, 16502, 538, 519, 1650, 286, 3503, 606, 1557, 593, 875, 519, 16502, 2242, 607, 519, 1650, 22264, 269, 10410, 1518, 1896, 10593, 540, 8226, 799, 713, 1915, 4422, 998, 563, 13625, 13445, 476, 273, 454, 288, 2101, 6249, 540, 713, 1433, 568, 11505, 269, 634, 16541, 3096, 519, 2165, 834, 339, 877, 257, 547, 4766, 1373, 13615, 547, 1776, 1268, 610, 13442, 269, 1548, 568, 519, 1184, 540, 512, 5446, 543, 875, 568, 713, 6249, 18955, 998, 519, 1433, 888, 13625, 13445, 476, 274, 454, 763, 2278, 540, 634, 9741, 10988, 257, 1312, 5206, 519, 1913, 543, 11609, 519, 1433, 269, 3571, 12383, 616, 1360, 1126, 3697, 563, 272, 264, 4208, 568, 713, 1271, 286, 4208, 4769, 1405, 646, 1205, 2576, 547, 9414, 519, 1433, 609, 2681, 11147, 267, 12125, 543, 7851, 888, 273, 264, 1548, 1198, 798, 891, 2241, 12400, 723, 593, 519, 5467, 888, 1607, 3296, 3568, 476, 272, 267, 1708, 1913, 454, 26140, 269, 476, 276, 3817, 693, 476, 4968, 1913, 829, 2985, 264, 0, 25200, 281, 27285, 20540, 281, 27286, 1607, 1449, 5161, 540, 476, 276, 2110, 2626, 2055, 267, 476, 1015, 2110, 1557, 2055, 267, 543, 476, 272, 630, 1993, 476, 274, 264, 1557, 3584, 563, 14112, 8382, 5999, 454, 272, 269, 1548, 5636, 664, 781, 30270, 1281, 711, 5635, 547, 1684, 1682, 1485, 781, 267, 2687, 547, 8111, 2006, 538, 3848, 476, 276, 888, 273, 269, 1548, 1271, 6602, 1281, 8111, 2006, 1118, 827, 1684, 1682, 1485, 1247, 32626, 1864, 538, 519, 2011, 538, 519, 4098, 540, 3848, 476, 275, 888, 274, 269, 1306, 5018, 538, 3848, 476, 277, 267, 875, 1082, 5195, 1281, 1684, 1682, 1485, 3382, 609, 835, 540, 1010, 682, 2355, 888, 275, 269, 1548, 1281, 681, 755, 344, 2161, 646, 568, 2469, 547, 991, 607, 646, 15211, 3544, 547, 1294, 1684, 1682, 1485, 23601, 513, 7128, 1286, 888, 276, 269, 1548, 4523, 547, 8111, 2006, 17303, 950, 1684, 1682, 1485, 737, 6506, 1864, 538, 4571, 25101, 538, 3848, 476, 277, 888, 14112, 4828, 5999, 454, 272, 269, 1548, 568, 519, 3017, 538, 519, 1259, 8111, 2006, 781, 3993, 543, 4651, 616, 13156, 519, 3527, 540, 519, 1065, 13024, 8720, 519, 6370, 538, 5450, 24227, 888, 273, 269, 1215, 1281, 1684, 1682, 1485, 2119, 547, 2061, 8111, 2006, 689, 9494, 631, 3558, 781, 1920, 888, 274, 269, 1215, 1281, 8111, 2006, 6467, 1010, 4640, 1996, 1684, 1682, 1485, 693, 26335, 888, 275, 269, 4208, 568, 10753, 529, 3168, 585, 13343, 3240, 538, 3848, 476, 275, 286, 7316, 1281, 1352, 1265, 1864, 888, 276, 269, 1548, 568, 8111, 326, 20071, 781, 3355, 3210, 547, 7487, 8111, 2006, 781, 4339, 1996, 1684, 1682, 1485, 888, 277, 269, 1548, 1344, 1281, 14878, 321, 850, 343, 20794, 547, 26851, 1310, 646, 512, 2355, 883, 1684, 1682, 1485, 781, 2247, 888, 278, 269, 1215, 1281, 26851, 1265, 856, 827, 513, 2009, 3069, 540, 1141, 1684, 1682, 1485, 3357, 689, 888, 279, 269, 2991, 8111, 2006, 7024, 543, 17990, 631, 3558, 781, 1920, 267, 1018, 1281, 24053, 8493, 1676, 2995, 1864, 888, 280, 269, 1548, 5114, 1281, 8111, 2006, 723, 950, 646, 5515, 856, 602, 1684, 1682, 1485, 568, 16144, 585, 5450, 24227, 888, 1015, 269, 1548, 3123, 519, 16411, 693, 519, 1439, 540, 3848, 476, 275, 267, 20872, 8111, 2006, 547, 1118, 1776, 1271, 3375, 888, 2237, 606, 1557, 585, 21450, 540, 519, 1739, 3584, 912, 13625, 13445, 476, 272, 454, 27855, 538, 1469, 519, 3803, 6370, 1063, 8111, 2006, 543, 1684, 1682, 1485, 538, 5450, 24227, 267, 875, 8111, 2006, 781, 6043, 568, 10268, 267, 519, 3441, 602, 519, 2749, 679, 706, 637, 267, 519, 13546, 977, 4369, 540, 519, 3544, 948, 602, 8111, 2006, 11392, 267, 875, 8111, 2006, 25395, 1018, 666, 10413, 1684, 1682, 1485, 267, 543, 519, 5114, 540, 8111, 2006, 781, 29287, 4339, 676, 10753, 529, 543, 13343, 3240, 267, 607, 1134, 607, 22189, 543, 26795, 13573, 269, 4746, 267, 1331, 606, 2079, 540, 8111, 2006, 781, 14820, 543, 875, 621, 2242, 1282, 519, 6370, 267, 2059, 609, 10753, 529, 262, 12576, 547, 1864, 540, 519, 3017, 1063, 1864, 543, 1684, 1682, 1485, 563, 13625, 13445, 476, 273, 454, 2750, 8533, 519, 4401, 545, 3510, 602, 631, 3558, 568, 538, 950, 1010, 3993, 543, 11078, 616, 16290, 538, 513, 3595, 267, 875, 1010, 6644, 827, 8111, 2006, 2242, 267, 543, 2436, 610, 711, 646, 814, 513, 1007, 7071, 585, 8111, 2006, 781, 24123, 7907, 269, 3417, 606, 2079, 540, 519, 3375, 602, 8111, 2006, 2306, 538, 13059, 547, 4688, 631, 3558, 781, 1920, 267, 1946, 621, 568, 513, 2352, 3903, 267, 543, 519, 4539, 646, 15109, 1247, 1818, 621, 563, 13625, 13445, 476, 274, 454, 22860, 2763, 8111, 2006, 781, 7778, 540, 519, 13766, 540, 5208, 267, 875, 621, 1031, 267, 543, 519, 6859, 540, 27568, 950, 1210, 621, 269, 769, 1840, 267, 1865, 519, 12194, 602, 8111, 2006, 814, 267, 519, 4128, 3297, 873, 267, 543, 1331, 1806, 540, 875, 1346, 12194, 616, 6719, 538, 519, 3209, 563, 1607, 3296, 3568, 476, 280, 5325, 1913, 454, 26140, 269, 476, 275, 3817, 693, 476, 4968, 1913, 829, 2985, 264, 0, 3849, 18690, 630, 3849, 14620, 10118, 264, 2995, 721, 811, 827, 513, 8231, 552, 3052, 634, 7911, 10443, 3533, 563, 3849, 18690, 12189, 610, 20618, 13450, 267, 16460, 2055, 540, 875, 267, 950, 267, 1141, 267, 1946, 543, 875, 1419, 630, 325, 15968, 264, 552, 3052, 962, 16518, 267, 519, 7911, 10443, 1753, 3533, 689, 1153, 267, 1317, 621, 729, 1010, 544, 636, 779, 14512, 563, 15650, 540, 1520, 14620, 454, 2304, 30163, 568, 513, 22212, 851, 540, 4633, 269, 898, 6257, 13450, 267, 824, 740, 18690, 267, 21371, 267, 543, 2453, 269, 1358, 616, 1031, 547, 4766, 875, 267, 1141, 267, 950, 267, 875, 1419, 543, 1946, 1945, 4523, 563, 3849, 18690, 540, 6073, 4766, 875, 1945, 4523, 269, 2368, 4122, 1031, 740, 18690, 540, 6073, 1331, 912, 13706, 519, 1739, 1383, 912, 9515, 4956, 547, 2328, 1200, 1957, 269, 630, 7224, 740, 18690, 994, 9515, 3533, 4956, 547, 2328, 1200, 1957, 269, 630, 615, 3375, 729, 2656, 994, 9515, 4956, 547, 2328, 1200, 1957, 3533, 269, 630, 615, 1603, 729, 2656, 994, 8489, 972, 616, 1079, 610, 811, 13450, 538, 513, 4845, 267, 30163, 13307, 5540, 519, 2495, 563, 3849, 18690, 540, 1747, 4766, 1141, 1945, 4523, 269, 2368, 4122, 1031, 1806, 1331, 519, 1739, 912, 296, 4941, 547, 979, 909, 560, 4202, 563, 9515, 814, 5030, 538, 519, 2749, 2094, 4873, 269, 630, 514, 519, 2749, 840, 6570, 531, 8360, 994, 7197, 740, 18690, 540, 1747, 616, 849, 1031, 607, 840, 21752, 563, 3849, 18690, 540, 3483, 4766, 1946, 1945, 4523, 269, 3371, 616, 930, 1455, 1806, 912, 514, 1931, 547, 454, 297, 10154, 15211, 5402, 547, 2057, 9991, 563, 7692, 18417, 13264, 519, 642, 848, 563, 3849, 18690, 540, 4908, 4766, 875, 1419, 1945, 4523, 269, 634, 1739, 740, 18690, 616, 4122, 1031, 538, 713, 1259, 912, 300, 871, 20044, 773, 4991, 513, 11878, 689, 1200, 7015, 1169, 1554, 563, 763, 3165, 2356, 7669, 338, 2282, 519, 1283, 540, 922, 7382, 563, 3849, 18690, 540, 942, 4766, 950, 1945, 4523, 269, 1452, 1806, 616, 4122, 1031, 912, 3849, 18690, 540, 7388, 28467, 454, 1692, 1520, 18690, 3657, 4813, 539, 454, 272, 269, 769, 1034, 2665, 267, 606, 30163, 568, 4646, 676, 4946, 2048, 268, 569, 685, 547, 606, 18781, 912, 268, 5384, 4422, 3533, 563, 268, 1261, 15336, 7444, 547, 519, 7450, 563, 268, 2701, 6157, 1185, 606, 4277, 1272, 563, 268, 1261, 5402, 13603, 909, 519, 12008, 1126, 563, 2252, 519, 18781, 7475, 538, 2048, 268, 344, 8730, 5372, 519, 2048, 344, 685, 609, 2048, 328, 685, 543, 1039, 2048, 268, 569, 685, 912, 2252, 519, 18781, 7475, 538, 1107, 8072, 762, 8730, 2048, 268, 1043, 8730, 610, 2048, 268, 548, 8730, 5372, 519, 2048, 268, 324, 685, 609, 2048, 268, 344, 685, 912, 2252, 519, 18781, 7475, 538, 2048, 268, 545, 8730, 1039, 2048, 268, 958, 685, 912, 2750, 4003, 281, 1857, 1107, 15597, 454, 273, 269, 2368, 740, 18690, 723, 519, 1482, 1106, 607, 519, 18781, 912, 347, 3849, 11187, 543, 1520, 14620, 2008, 274, 269, 2048, 11039, 8072, 543, 2048, 16591, 8072, 454, 8072, 11039, 685, 568, 519, 30163, 602, 14687, 547, 519, 18781, 2048, 16591, 17483, 9827, 1294, 281, 26440, 4181, 540, 18948, 0, 308, 2529, 269, 5917, 20814, 5664, 5101, 22640, 454, 26296, 4690, 543, 4914, 3609, 454, 5278, 13915, 8044, 602, 3013, 285, 338, 3609, 540, 14957, 9111, 949, 581, 23696, 543, 1256, 4831, 335, 8793, 269, 6723, 654, 269, 17312, 285, 338, 8942, 547, 946, 9111, 607, 606, 6293, 1996, 18483, 941, 19408, 543, 5906, 282, 25412, 9111, 689, 15072, 729, 796, 3772, 267, 543, 4769, 285, 339, 960, 563, 763, 17312, 7245, 729, 8185, 3238, 538, 1603, 12925, 285, 338, 3282, 1876, 799, 786, 1450, 5375, 3282, 3549, 547, 6802, 3282, 856, 540, 12925, 909, 547, 476, 1789, 1296, 1510, 9878, 3454, 593, 741, 12434, 269, 6787, 12592, 676, 3282, 610, 711, 267, 772, 2529, 269, 4914, 3609, 7902, 547, 1454, 540, 519, 1158, 547, 723, 1044, 12592, 676, 3282, 563, 28347, 17312, 814, 1044, 22309, 585, 10714, 532, 9111, 543, 1480, 2924, 543, 2519, 14311, 593, 519, 4339, 1996, 18483, 269, 634, 2475, 814, 1044, 22309, 585, 16957, 26956, 6057, 693, 2871, 656, 5451, 5864, 334, 7345, 267, 12925, 267, 543, 585, 5728, 31835, 30813, 538, 9456, 2342, 269, 769, 3210, 267, 519, 2475, 2229, 10645, 891, 13685, 540, 6057, 941, 9678, 543, 1705, 711, 2992, 772, 2529, 269, 3609, 563, 5278, 4892, 3494, 602, 741, 2197, 779, 5539, 568, 3908, 547 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 21463, 538, 519, 8193, 5311, 267, 3056, 547, 9168, 610, 1875, 10818, 531, 5946, 4470, 593, 519, 6708, 543, 2990, 540, 519, 17332, 610, 25216, 10126, 269, 1403, 519, 4299, 3148, 3568, 703, 3055, 2609, 15725, 521, 2364, 532, 267, 3677, 7696, 687, 610, 25533, 687, 1223, 15936, 609, 1697, 4393, 540, 24888, 544, 23978, 780, 2971, 26537, 23865, 2806, 7538, 885, 692, 2419, 668, 23865, 17244, 4125, 7293, 610, 10230, 7648, 538, 15694, 1297, 610, 5888, 269, 23305, 32623, 5928, 1331, 6037, 23148, 630, 1410, 4219, 540, 12415, 1063, 1875, 327, 558, 27881, 15954, 1070, 538, 951, 687, 630, 4148, 6235, 10066, 540, 513, 9606, 10095, 23650, 1070, 543, 5918, 4124, 630, 19817, 3539, 3063, 5027, 13980, 1040, 31592, 22114, 2039, 689, 606, 15710, 30666, 344, 630, 629, 7538, 2338, 540, 1367, 15954, 264, 547, 4874, 30666, 344, 630, 3369, 1961, 5036, 540, 15954, 16611, 3564, 3339, 9733, 1355, 4567, 1040, 3502, 1168, 2180, 1176, 267, 959, 529, 3912, 476, 2641, 4929, 13560, 6794, 4564, 519, 1034, 7928, 1313, 23865, 606, 15710, 30666, 344, 538, 3425, 780, 2162, 31469, 540, 23688, 10402, 8412, 692, 26452, 3157, 3565, 547, 519, 5250, 540, 13592, 269, 1358, 666, 10836, 26742, 611, 1227, 998, 9073, 1282, 5027, 18643, 267, 610, 789, 666, 581, 13251, 676, 5007, 8069, 1634, 607, 4573, 698, 839, 269, 6206, 6127, 3238, 538, 10451, 13592, 616, 4330, 2630, 780, 2971, 8210, 5558, 4438, 1234, 6473, 692, 28053, 983, 12227, 3743, 585, 5027, 18643, 12212, 2306, 9073, 1247, 25718, 10959, 22204, 267, 3226, 693, 4525, 12155, 547, 16132, 971, 607, 16625, 9696, 267, 31442, 520, 749, 2572, 267, 610, 3810, 1098, 8282, 2127, 269, 19577, 15105, 2238, 5645, 856, 676, 12249, 1162, 3622, 6439, 1518, 1034, 6959, 1354, 23312, 2417, 2059, 519, 22308, 30580, 269, 11048, 267, 17573, 31868, 720, 1522, 9101, 7020, 267, 28285, 538, 8628, 13592, 1310, 7766, 21448, 540, 1591, 6498, 780, 2971, 7025, 6184, 6699, 692, 26807, 2825, 2188, 2333, 519, 10171, 540, 13592, 16109, 269, 594, 517, 1944, 2234, 9911, 630, 24472, 12345, 267, 2473, 17530, 1070, 22292, 1769, 267, 543, 3114, 7135, 1336, 538, 10269, 8673, 267, 4853, 14107, 267, 610, 1426, 29089, 2510, 2099, 14984, 4573, 698, 839, 5827, 540, 1802, 1424, 5027, 3441, 2047, 610, 18549, 3842, 1863, 9097, 2504, 269, 28088, 14688, 267, 2281, 1590, 4497, 10427, 7816, 11444, 547, 11177, 11646, 8699, 267, 2943, 13385, 6114, 2285, 4473, 547, 6378, 13592, 780, 2971, 2885, 1467, 12411, 639, 590, 11703, 631, 20706, 692, 10521, 3376, 6688, 10646, 13592, 2687, 547, 741, 10408, 31338, 910, 10351, 1467, 543, 30717, 269, 2885, 1467, 13592, 21078, 538, 13708, 26347, 630, 1122, 7714, 610, 521, 704, 916, 264, 543, 3976, 10141, 646, 13072, 3320, 2066, 5481, 269, 1635, 4334, 267, 30717, 13592, 8915, 14311, 538, 1560, 8031, 6508, 689, 5378, 5328, 15523, 2022, 1922, 1068, 16478, 269, 4475, 267, 30717, 13592, 3112, 1780, 5196, 15556, 855, 3079, 3565, 547, 5160, 4763, 267, 10172, 267, 610, 683, 31129, 7004, 4470, 593, 741, 10335, 543, 2796, 780, 2162, 23398, 8177, 540, 631, 20706, 692, 27039, 2390, 519, 2470, 267, 4087, 267, 543, 4336, 540, 519, 12381, 5189, 267, 13592, 29360, 3309, 4093, 3823, 5444, 4082, 267, 3940, 10282, 267, 543, 2949, 11248, 8516, 780, 2971, 3026, 25806, 631, 20706, 692, 10468, 25806, 13592, 1711, 7357, 3209, 3601, 20775, 547, 3312, 5444, 1599, 4433, 1040, 6270, 19260, 4749, 896, 12340, 8789, 632, 18051, 334, 4713, 6353, 676, 3982, 4791, 2934, 11651, 3101, 3648, 689, 1346, 4767, 538, 3552, 15178, 2043, 780, 2971, 13809, 6361, 6363, 4233, 631, 20706, 692, 299, 1601, 6361, 1922, 4233, 13592, 9004, 610, 10556, 5444, 2472, 262, 2702, 547, 1685, 5497, 4247, 269, 1879, 1312, 27586, 4163, 12424, 633, 2530, 6361, 1922, 4233, 13592, 267, 14275, 714, 17789, 13920, 1671, 1132, 267, 3056, 547, 2347, 9000, 540, 5444, 1587, 4082, 269, 17968, 267, 688, 680, 334, 1231, 340, 11797, 2164, 689, 10636, 27340, 748, 19057, 12946, 1152, 835, 6198, 27446, 267, 11589, 21022, 5666, 540, 5444, 2472, 3448, 547, 6093, 2175, 269, 5637, 7653, 10460, 4220, 585, 3384, 21780, 27318, 4713, 2404, 609, 4389, 18262, 610, 19847, 10342, 540, 26582, 6090, 780, 2971, 28150, 6361, 6363, 4233, 631, 20706, 692, 3519, 14287, 267, 2744, 6361, 1922, 4233, 13592, 3986, 5444, 2472, 262, 4390, 547, 14892, 3606, 11645, 16310, 5065, 5107, 269, 10705, 5532, 547, 8789, 569, 15110, 7592, 267, 891, 12381, 32433, 3413, 21719, 6675, 262, 6617, 267, 29512, 4398, 267, 14041, 11006, 267, 610, 5872, 5121, 267, 6038, 6117, 8476, 15202, 22107, 3547, 24254, 16765, 4307, 28437, 24017, 780, 2971, 3525, 8595, 12186, 692, 15563, 267, 13592, 11992, 1369, 519, 11646, 267, 5219, 547, 607, 1110, 13294, 267, 666, 12189, 4082, 3270, 610, 11579, 8896, 3928, 540, 7620, 1757, 894, 15087, 269, 4935, 267, 9583, 22480, 26340, 3359, 11397, 689, 23633, 28326, 26105, 949, 11851, 7096, 5222, 593, 4307, 28437, 6881, 267, 17021, 1950, 18472, 3270, 4101, 547, 21264, 1510, 9488, 1620, 540, 5817, 7636, 1696, 328, 3098, 780, 1103, 5758, 267, 13592, 13822, 1713, 10256, 540, 9265, 543, 9542, 269, 16480, 267, 32277, 28922, 3283, 7703, 8101, 6286, 585, 1480, 8171, 267, 26089, 11826, 13753, 6322, 693, 5587, 4328, 15817, 8129, 267, 18640, 6384, 267, 543, 6211, 29298, 269, 0, 2237, 513, 3102, 543, 538, 3829, 1837, 593, 1412, 2304, 10532, 543, 25665, 476, 273, 324, 3299, 3358, 585, 2852, 1053, 563, 2171, 616, 1603, 593, 3184, 1412, 14549, 4886, 543, 519, 8033, 8462, 540, 5020, 8339, 769, 1880, 267, 3296, 1412, 303, 16993, 540, 769, 615, 13330, 1412, 540, 1412, 14946, 618, 543, 769, 615, 13330, 262, 851, 269, 1284, 723, 2907, 4988, 519, 1739, 4559, 538, 713, 3296, 281, 1412, 8448, 769, 615, 13330, 18963, 281, 769, 14814, 18067, 766, 267, 26467, 7631, 766, 267, 543, 700, 996, 531, 1325, 548, 956, 3299, 1412, 8505, 23865, 1234, 947, 633, 769, 615, 13330, 3299, 1412, 8448, 769, 615, 13330, 18963, 281, 769, 14814, 18067, 766, 267, 26467, 7631, 766, 267, 543, 700, 996, 531, 1325, 548, 956, 3299, 1412, 8505, 23865, 667, 11395, 769, 615, 13330, 8339, 3503, 513, 1007, 1770, 11331, 1412, 300, 20706, 8339, 3371, 781, 930, 1257, 585, 6667, 281, 589, 15817, 568, 513, 1689, 538, 519, 5311, 540, 5027, 22951, 1938, 602, 949, 610, 949, 711, 1860, 513, 1268, 779, 26737, 269, 631, 20706, 666, 8451, 31380, 689, 6959, 1282, 5027, 18643, 267, 610, 789, 666, 1267, 689, 2825, 1202, 6699, 971, 607, 5982, 267, 1978, 8290, 267, 610, 4598, 547, 10269, 8673, 610, 824, 6757, 6464, 269, 5221, 6090, 31391, 585, 519, 10198, 540, 5946, 267, 513, 15817, 538, 519, 30859, 5311, 540, 513, 5444, 666, 1689, 11254, 3679, 5311, 543, 267, 18867, 267, 513, 3940, 779, 2497, 543, 1599, 269, 1975, 2632, 10389, 13592, 9648, 1282, 32450, 616, 2219, 547, 2272, 585, 1082, 21245, 705, 25344, 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, 3848, 476, 279, 281, 6468, 538, 9147, 6406, 3074, 692, 7072, 912, 5970, 596, 2479, 9289, 827, 519, 1909, 540, 2021, 538, 3504, 7239, 286, 1215, 941, 789, 2938, 267, 5701, 267, 543, 15422, 2429, 1686, 286, 1306, 649, 4685, 883, 938, 3408, 540, 1585, 12977, 1472, 519, 1158, 267, 1577, 781, 1445, 593, 875, 2021, 8329, 547, 891, 2038, 4529, 543, 1018, 2186, 540, 1764, 789, 1185, 593, 741, 2950, 269, 1284, 786, 1413, 693, 930, 4241, 2984, 540, 9565, 2021, 2066, 942, 543, 11585, 1247, 1565, 811, 827, 1480, 1686, 780, 4089, 594, 281, 6468, 538, 9147, 9919, 14125, 630, 306, 686, 20092, 2020, 26123, 9919, 14125, 267, 1631, 1634, 607, 16444, 20092, 267, 814, 513, 3638, 543, 1950, 1686, 6580, 1394, 936, 1079, 8536, 2947, 4627, 1296, 269, 901, 4190, 6532, 4182, 6013, 22703, 540, 3127, 543, 19646, 10875, 8916, 4904, 609, 18932, 3039, 7733, 267, 22501, 5032, 6050, 267, 543, 23836, 10239, 269, 10801, 922, 1279, 1686, 267, 1082, 7415, 2021, 7153, 607, 3401, 267, 7855, 267, 5159, 267, 543, 5289, 5515, 5935, 519, 1360, 5958, 540, 2486, 780, 3080, 971, 4807, 729, 10348, 1323, 3121, 8061, 328, 267, 945, 12199, 1282, 519, 1101, 2540, 14514, 269, 2701, 2968, 835, 540, 519, 1906, 4775, 16313, 338, 538, 6592, 1686, 950, 1352, 10841, 2105, 519, 17599, 1310, 1200, 9393, 781, 2669, 269, 4173, 12081, 6825, 513, 7432, 1448, 538, 519, 3045, 1023, 540, 16444, 700, 1678, 534, 28370, 267, 15386, 602, 2021, 1223, 8197, 1291, 6082, 1175, 607, 1698, 2406, 607, 2367, 780, 1103, 1840, 547, 3532, 30842, 267, 972, 941, 849, 9118, 824, 8723, 2021, 4171, 2729, 2611, 7361, 3768, 29545, 855, 616, 1869, 17709, 540, 6284, 269, 26478, 267, 18318, 267, 29048, 267, 12115, 619, 267, 543, 5640, 782, 5129, 1898, 5107, 538, 4509, 10103, 1369, 741, 3885, 543, 2950, 269, 1452, 5667, 2426, 5869, 1149, 5249, 7258, 2367, 267, 7700, 3648, 2509, 2679, 25133, 17260, 543, 8497, 2085, 6040, 5389, 780, 14300, 899, 891, 6542, 602, 4352, 4008, 8155, 9867, 4922, 1063, 1114, 3504, 12977, 267, 2021, 9846, 9863, 2933, 5827, 540, 1818, 8101, 7418, 5103, 1022, 9465, 5116, 1354, 873, 780, 263, 9616, 281, 5664, 1153, 1053, 1522, 5660, 6217, 827, 1808, 3344, 540, 3232, 1272, 585, 891, 3504, 2021, 267, 971, 607, 1426, 7041, 2409, 267, 7802, 6163, 267, 610, 16837, 2238, 24355, 4089, 4083, 281, 6468, 538, 808, 2459, 340, 1299, 22758, 692, 299, 11343, 538, 7187, 2865, 3127, 267, 536, 23912, 676, 9031, 543, 3624, 267, 9114, 519, 28677, 4525, 540, 808, 2459, 340, 1299, 22758, 269, 25587, 585, 741, 18198, 2067, 5898, 267, 891, 3338, 3180, 2620, 3140, 4644, 1813, 547, 5553, 540, 4914, 32042, 543, 2797, 1193, 1057, 269, 27933, 560, 713, 24360, 2250, 267, 1896, 9058, 2021, 9782, 1657, 14488, 267, 6028, 9434, 23543, 31960, 538, 6237, 3965, 780, 16449, 891, 13009, 4565, 5074, 8951, 568, 26527, 8643, 808, 785, 918, 4768, 267, 945, 6039, 607, 519, 15596, 1036, 550, 540, 23570, 1282, 519, 4571, 268, 866, 628, 2540, 269, 2991, 1200, 9393, 781, 2150, 830, 569, 27757, 267, 1352, 10924, 1852, 936, 1533, 12602, 2394, 1200, 5067, 6603, 15657, 269, 6736, 3875, 2591, 15054, 676, 20935, 3703, 4229, 267, 1352, 18979, 569, 29846, 1200, 1004, 781, 2924, 543, 4690, 267, 15980, 9887, 519, 28215, 834, 1492, 11619, 531, 2088, 540, 519, 23570, 3010, 20118, 267, 1776, 11121, 4137, 688, 2812, 689, 4207, 2053, 910, 5689, 8403, 962, 748, 2378, 345, 2967, 269, 4014, 4535, 538, 15231, 4210, 520, 9503, 267, 799, 8813, 896, 9031, 328, 16278, 267, 5689, 8403, 6591, 2518, 21239, 1739, 1200, 14223, 3646, 5009, 6690, 262, 2069, 538, 15061, 7332, 7239, 269, 2311, 1152, 19939, 1296, 2025, 267, 1352, 15068, 513, 22266, 26923, 3801, 676, 13669, 28063, 17740, 1218, 5275, 547, 16563, 1200, 5639, 269, 4653, 267, 5689, 8403, 5170, 8165, 585, 3160, 1569, 547, 2298, 2069, 5001, 267, 4742, 606, 11599, 3090, 540, 10100, 543, 6043, 780, 4322, 8903, 6386, 4196, 607, 23106, 602, 1256, 8015, 4101, 6381, 267, 2021, 4865, 10373, 1761, 547, 1198, 2318, 1689, 269, 1635, 4974, 741, 10781, 267, 649, 4126, 547, 8300, 2104, 5481, 540, 2178, 267, 17519, 3401, 6131, 547, 10575, 14823, 12790, 9739, 543, 5807, 8537, 2208, 780, 6962, 912, 9961, 1686, 267, 2021, 689, 1585, 10080, 543, 4529, 723, 7152, 6909, 6830, 3363, 267, 4987, 267, 543, 5876, 269, 3245, 15194, 25267, 547, 22299, 532, 1514, 3123, 267, 789, 3136, 8840, 7496, 5892, 2219, 31837, 25236, 762, 269, 4256, 2984, 1683, 3407, 4245, 585, 2413, 6107, 20678, 547, 1628, 1732, 9723, 528, 4900, 12082, 538, 9698, 267, 2463, 267, 543, 1620, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 4517, 16120, 543, 12832, 984, 541, 11866, 454, 297, 2459, 340, 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 ]
[ 267, 519, 1570, 9138, 607, 519, 3490, 585, 21338, 18747, 269, 654, 269, 661, 269, 1261, 987, 14716, 3213, 269, 540, 5682, 31069, 267, 18518, 267, 1185, 11643, 513, 2539, 11556, 540, 1269, 279, 1789, 267, 1822, 585, 12254, 560, 1737, 25342, 267, 519, 2034, 3490, 1570, 269, 3097, 275, 269, 634, 20260, 568, 13815, 539, 454, 763, 2817, 8189, 1558, 693, 3943, 700, 1157, 267, 18518, 267, 593, 11728, 267, 5147, 476, 1724, 267, 476, 4350, 272, 267, 547, 3313, 547, 7247, 547, 8366, 519, 4579, 269, 11135, 3515, 941, 6537, 1063, 18518, 14680, 18793, 543, 1346, 945, 23163, 6778, 5794, 344, 610, 12254, 560, 1737, 25342, 269, 27737, 23846, 543, 18518, 6837, 5443, 8381, 543, 966, 652, 531, 11130, 602, 16310, 1373, 14949, 267, 18518, 14680, 1131, 6802, 2724, 883, 519, 3557, 4346, 269, 5576, 677, 30937, 597, 267, 519, 15818, 585, 519, 14680, 4690, 267, 12219, 547, 9029, 547, 14199, 540, 519, 27308, 631, 749, 517, 267, 952, 621, 941, 3020, 602, 16551, 1152, 1572, 585, 14680, 538, 519, 9703, 269, 8409, 5885, 25342, 11329, 856, 602, 621, 729, 513, 3084, 18189, 543, 602, 25342, 729, 711, 1641, 547, 29056, 269, 26943, 828, 1206, 517, 267, 519, 1379, 593, 519, 15445, 9730, 267, 12038, 856, 585, 519, 946, 540, 18518, 14680, 585, 519, 9703, 540, 519, 2497, 543, 25342, 585, 519, 16538, 269, 26302, 9478, 654, 269, 918, 9404, 601, 540, 966, 4532, 15086, 11329, 856, 602, 1010, 2749, 543, 12928, 2135, 6019, 1185, 834, 4186, 30744, 2047, 1269, 7742, 267, 476, 1822, 936, 543, 1657, 938, 8167, 622, 851, 257, 540, 519, 3557, 781, 9295, 267, 543, 24016, 602, 519, 1788, 834, 2254, 581, 5010, 1242, 538, 1022, 4110, 1701, 3097, 5475, 7440, 941, 4862, 267, 519, 15445, 9730, 4843, 547, 519, 8189, 1614, 18747, 281, 654, 269, 661, 269, 1261, 987, 781, 540, 1269, 6507, 274, 267, 8517, 585, 12254, 560, 1737, 25342, 585, 519, 16538, 540, 519, 17341, 543, 18518, 14680, 585, 519, 9703, 1657, 519, 530, 1622, 20799, 1154, 282, 1261, 613, 2006, 6953, 1551, 529, 262, 585, 1269, 279, 2537, 267, 1822, 267, 14680, 9703, 543, 6778, 5794, 344, 25342, 16538, 282, 543, 589, 269, 661, 269, 918, 655, 1067, 781, 540, 1269, 277, 2767, 267, 1822, 585, 25342, 3490, 543, 14680, 22530, 4450, 543, 9703, 269, 1635, 513, 8917, 540, 8370, 547, 3670, 267, 519, 8189, 5462, 547, 4579, 609, 1261, 987, 14716, 3213, 269, 3097, 2691, 519, 4579, 729, 9896, 267, 621, 729, 3177, 602, 12254, 560, 1737, 25342, 581, 1031, 585, 519, 13675, 267, 3268, 543, 1768, 15869, 267, 9587, 267, 1612, 777, 564, 543, 1292, 3774, 1657, 519, 6512, 1576, 267, 543, 2895, 527, 571, 557, 540, 1292, 13675, 269, 18518, 14680, 729, 547, 581, 1031, 585, 7796, 7539, 267, 1698, 8558, 267, 8970, 1182, 267, 543, 2781, 559, 902, 540, 519, 9703, 269, 10049, 607, 9138, 538, 519, 3490, 19915, 941, 547, 581, 1031, 538, 824, 2694, 540, 519, 2497, 269, 3097, 310, 531, 614, 681, 269, 1261, 987, 267, 519, 3811, 536, 1342, 518, 267, 729, 1134, 1634, 547, 966, 4532, 15086, 26767, 269, 1261, 1185, 10924, 519, 4579, 585, 28889, 9934, 519, 12928, 2135, 6019, 3938, 628, 1787, 593, 519, 2669, 540, 3627, 589, 269, 918, 11839, 267, 543, 1185, 25517, 519, 590, 29229, 6019, 3938, 628, 1787, 693, 590, 29229, 267, 607, 1134, 607, 513, 1297, 540, 9992, 24471, 543, 22408, 528, 640, 8075, 693, 1546, 303, 879, 342, 6280, 269, 3097, 276, 269, 5019, 3949, 20531, 606, 27148, 454, 15703, 28336, 25255, 30409, 8387, 540, 519, 772, 2529, 269, 8534, 4972, 267, 543, 621, 729, 4121, 602, 519, 12254, 560, 1737, 3213, 1421, 799, 729, 547, 3761, 519, 25342, 267, 729, 513, 8225, 18294, 269, 16270, 5305, 540, 713, 1344, 267, 519, 20031, 1512, 7577, 540, 966, 4532, 15086, 543, 4095, 24550, 29040, 27737, 674, 612, 267, 834, 7312, 5638, 1397, 938, 6109, 568, 1970, 536, 1342, 518, 585, 8381, 12064, 25342, 543, 4061, 568, 13886, 547, 519, 4579, 1701, 589, 269, 661, 269, 918, 8145, 1067, 781, 5048, 547, 674, 612, 1224, 267, 834, 296, 1463, 707, 3007, 547, 1250, 4567, 607, 1970, 536, 1342, 518, 585, 1977, 2326, 1701, 27737, 23846, 1572, 593, 674, 612, 547, 1289, 513, 5870, 540, 519, 8189, 547, 556, 29264, 519, 4579, 607, 12254, 560, 1737, 25342, 568, 8225, 269, 3097, 25938, 1807, 674, 612, 729, 1174, 2406, 1253, 5962, 676, 519, 3046, 14141, 540, 751, 5586, 2449, 269, 1261, 5143, 519, 2046, 602, 952, 519, 12254, 560, 1737, 6109, 29170, 3072, 922, 25342, 538, 4516, 543, 25855, 593, 8225, 16456, 338, 519, 4579, 1131, 581, 20704, 539, 269, 1809, 267, 646, 3773, 267, 519, 695, 9068, 1131, 581, 3710, 540, 25342, 269, 476, 6969, 10912, 513, 5870, 540, 519, 10243, 267, 27737, 674, 612, 2366, 513, 1079, 17907, 2319, 267, 27672, 543, 8055, 267, 547, 3643, 519, 2430, 1091, 540, 519, 8381, 12064, 21081, 924, 3213, 269, 693, 10434, 19213, 543, 8381, 12064, 267, 28599, 563, 23613, 1841, 543, 8055, 1336, 602, 593, 4873, 476, 1321, 267, 476, 4350, 272, 267, 519, 8381, 12064, 3213, 269, 1185, 682, 1078, 547, 519, 12254, 560, 1737, 21081, 924, 2372, 1551, 625, 513, 1804, 26755, 693, 8381, 12064, 269, 1879, 789, 1572, 693, 519, 26755, 267, 789, 1336, 6190, 25342, 834, 2889, 1597, 543, 8756, 539, 547, 811, 982, 6445, 519, 10421, 540, 519, 17341, 1369, 519, 942, 9138, 538, 519, 4579, 1701, 1358, 4121, 602, 606, 6876, 1185, 1044, 1198, 539, 1063, 519, 8381, 12064, 3213, 269, 543, 519, 12254, 560, 1737, 3213, 269, 547, 798, 835, 28451, 519, 5969, 267, 19703, 267, 543, 18138, 538, 519, 10434, 19213, 2030, 543, 519, 14230, 676, 519, 12254, 560, 1737, 1004, 693, 519, 27392, 2041, 30577, 2030, 269, 2353, 960, 729, 23553, 547, 581, 2944, 676, 2136, 2276, 4074, 267, 543, 519, 31356, 941, 547, 4309, 519, 1482, 13230, 4336, 607, 6976, 676, 824, 6149, 3549, 269, 2353, 8737, 6149, 25855, 689, 10434, 19213, 729, 547, 1847, 936, 16456, 338, 7357, 1369, 519, 2136, 2276, 267, 6112, 4652, 31944, 25342, 25855, 689, 8381, 12064, 547, 27392, 2041, 30577, 1131, 1780, 936, 827, 476, 279, 267, 1822, 3952, 540, 3950, 5087, 540, 519, 3486, 10465, 269, 634, 12254, 560, 1737, 2030, 729, 593, 519, 10465, 267, 855, 621, 729, 513, 18294, 6896, 896, 519, 4031, 540, 28599, 269, 3097, 277, 269, 634, 8189, 1234, 3530, 8787, 519, 20260, 454, 25938, 1807, 25303, 21388, 540, 28599, 7902, 1354, 519, 5181, 476, 2764, 5870, 540, 519, 8189, 267, 2059, 609, 27672, 543, 8055, 269, 1261, 30599, 4011, 730, 741, 6898, 602, 519, 1641, 2679, 1570, 729, 834, 309, 1069, 2632, 25342, 543, 2687, 547, 782, 3652, 543, 2853, 538, 519, 25342, 1870, 267, 729, 538, 2407, 10220, 609, 519, 6003, 540, 519, 3732, 11643, 1701, 3097, 26668, 3108, 540, 1035, 3234, 517, 1190, 7440, 1671, 4240, 1354, 513, 8917, 729, 3144, 269, 2201, 835, 8317, 6837, 2006, 8381, 2968, 865, 989, 18469, 602, 646, 1011, 10757, 267, 834, 10472, 1870, 786, 581, 513, 1600, 538, 6837, 267, 543, 952, 621, 568, 267, 594, 4250, 585, 519, 18189, 1701, 8381, 9901, 12611, 593, 12406, 602, 513, 3732, 540, 25342, 6074, 585, 20106, 540, 519, 4579, 3357, 689, 513, 8225, 26755, 267, 1247, 8189, 2818, 5156, 789, 941, 13359, 585, 1977, 25342, 269, 590, 5861, 269, 918, 633, 1777, 267, 606, 18607, 585, 1261, 987, 14716, 267, 1449, 1881, 602, 519, 15784, 729, 834, 514, 519, 1719, 540, 519, 18518, 7799, 9693, 3213, 1421, 519, 1034, 533, 2086, 1229, 1126, 540, 2872, 538, 18518, 1701, 1744, 1136, 1010, 9416, 693, 27737, 23846, 543, 11724, 894, 8381, 267, 918, 633, 1777, 3773, 267, 834, 8117, 596, 4312, 6039, 713, 1126, 540, 23600, 1701, 27737, 23846, 1572, 585, 513, 8917, 593, 20704, 532, 519, 4579, 609, 654, 269, 661, 269, 1261, 987, 269, 3571, 5163, 729, 17204, 8370, 547, 3670, 269, 3097, 291, 269, 654, 269, 681, 269, 1261, 987, 12706, 338, 513, 17341, 454, 272, 269, 634, 12476, 618, 568, 19196, 822, 730, 543, 7690, 623, 10696, 454, 763, 4579, 2348, 1044, 556, 3530, 3305, 539, 267, 654, 269, 681, 269, 1261, 987, 960, 5443, 14593, 6619, 609, 4070, 269, 2201, 4864, 476, 3066, 267, 835, 3923, 1354, 519, 2629, 8917, 267, 513, 12284, 540, 5619, 832, 1185, 3964, 519, 7852, 3515, 585, 519, 18189, 269, 853, 1389, 941, 9141, 267, 16287, 519, 7516, 540, 519, 5458, 2497, 269, 16140, 729, 7745, 593, 13638, 267, 5181, 476, 272, 267, 950, 513, 1297, 540, 2749, 8387, 543, 1870, 5443, 19632, 547, 4585, 607, 7671, 26943, 828, 1206, 517, 5828, 519, 1101, 15524, 767, 540, 3618, 269, 5741, 8111, 23734, 550, 6276, 28270, 1287, 5795, 519, 2262, 267, 543, 1896, 3532, 9252, 15524, 12069, 6410, 538, 543, 3459, 14155, 908, 585, 519, 18189, 5748, 269, 634, 1292, 26995, 729, 6192, 538, 5216, 2395, 267, 543, 593, 5181, 476, 1556, 267, 15790, 550, 619, 941, 5828, 547, 2679, 3029, 585, 3723, 902, 269, 11531, 267, 519, 28372, 10754, 538, 519, 25610, 941, 14324, 909, 563, 298, 599, 6410, 7444, 267, 1317, 621, 1131, 581, 834, 335, 3233, 3609, 257, 538, 2070, 540, 519, 15784, 547, 3142, 538, 811, 5230, 3937, 269, 24935, 609, 519, 9375, 540, 519, 6129, 4211, 558, 14293, 267, 28270, 6829, 26845, 602, 834, 1492, 15784, 814, 30281, 1524, 960, 693, 513, 1974, 540, 519, 1032, 950, 4365, 2175, 723, 1044, 1034, 4998, 1701, 4518, 1131, 581, 5645, 593, 1282, 519, 4411, 3275, 267, 855, 267, 646, 3773, 267, 834, 1492, 1482, 4110, 540, 2212, 3118, 3112, 581, 1500, 538, 4411, 5162, 4365, 607, 693, 713, 942, 540, 519, 1032, 1701, 3097, 2026, 4166, 607, 646, 729, 711, 1881, 602, 519, 4579, 1185, 1044, 9672, 267, 8111, 23734, 550, 28270, 14593, 519, 15790, 550, 619, 267, 543, 676, 5239, 476, 280, 519, 3029, 1185, 1044, 6192, 269, 634, 26311, 540, 6405, 585, 519, 3723, 902, 3323, 269, 20553, 519, 6405, 4682, 834, 28236, 4090, 3996, 267, 1519, 1507, 11113, 1701, 14066, 24921, 540, 2427, 19769, 2706, 23734, 757, 941, 13631, 547, 519, 3135, 547, 4585, 834, 821, 540, 519, 4102, 533, 2293, 540, 6405, 2479, 1500, 538, 519, 1858, 1701, 3097, 2026, 4166, 607, 519, 3029, 941, 6569, 267, 1007, 3283, 941, 3710, 547, 22285, 519, 1804, 6405, 533, 4536, 269, 1452, 533, 4536, 267, 4009, 538, 3337, 267, 941, 17479, 538, 10580, 543, 941, 2966, 547, 1489, 519, 16854, 2597, 540, 519, 18189, 2497, 269, 2991, 519, 6405, 1185, 1044, 23953, 543, 1305, 267, 519, 29421, 729, 6569, 267, 32006, 3042, 267, 543, 960, 5443, 5828, 547, 16245, 532, 3029, 585, 519, 32466, 543, 1489, 20832, 269, 3097, 273, 269, 7831, 5336, 514, 1393, 15448, 454, 4407, 32261, 519, 1101, 695, 3612, 540, 25342, 267, 519, 15445, 9730, 543, 11629, 670, 597, 976, 1558, 543, 8815, 593, 930, 2063, 18826, 2242, 538, 4566, 543, 16551, 585, 519, 2497, 269, 2390, 670, 597, 976, 262, 16252, 267, 621, 729, 5462, 547, 12990, 3345, 10060, 4095, 4414, 21081, 924, 689, 853, 269, 13192, 267, 16506, 267, 585, 519, 13643, 4011, 334, 4414, 21081, 924, 538, 519, 6512, 1576, 1657, 519, 4158, 3039, 342, 1622, 20799, 269, 3097, 288, 14842, 540, 519, 834, 27903, 2427, 540, 519, 13675, 1472, 519, 7450, 257, 729, 9516, 269, 634, 19730, 13675, 543, 922, 4410, 902, 941, 547, 581, 12628, 267, 1317, 519, 960, 676, 922, 834, 333, 1155, 2838, 711, 1152, 1469, 1353, 543, 5698, 855, 849, 8966, 7499, 5578, 543, 4686, 23477, 538, 1312, 1374, 543, 11056, 1701, 769, 922, 1747, 1131, 581, 9112, 513, 19730, 13675, 267, 6885, 267, 543, 22514, 756, 2544, 269, 645, 1749, 585, 713, 960, 1131, 581, 1151, 545, 1243, 689, 3670, 19730, 3549, 269, 3097, 763, 4070, 540, 519, 26434, 729, 5941, 269, 670, 597, 976, 6045, 602, 519, 4566, 543, 16551, 1572, 585, 606, 2011, 2230, 1063, 519, 14680, 26434, 543, 519, 5885, 18674, 6405, 26434, 1657, 621, 269, 3571, 17874, 11653, 267, 2705, 267, 9053, 26311, 519, 6405, 2047, 593, 1283, 540, 519, 14680, 267, 1310, 621, 1185, 1044, 28890, 539, 269, 898, 729, 5462, 602, 519, 6418, 26434, 1131, 581, 9112, 676, 1101, 11093, 519, 14680, 267, 1287, 17568, 513, 28890, 9245, 267, 543, 6368, 26311, 519, 6405, 269, 3097, 763, 15445, 9730, 4280, 670, 597, 976, 547 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3698, 1599, 10031, 825, 1820, 2891, 15916, 267, 4658, 15419, 825, 1003, 272, 815, 703, 9272, 2891, 11754, 513, 19362, 281, 27328, 825, 1003, 273, 815, 703, 9272, 2891, 11754, 513, 2034, 1297, 281, 27328, 825, 1820, 16325, 272, 270, 11133, 273, 2020, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1599, 4590, 0, 5814, 2979, 692, 335, 272, 815, 3403, 4590, 335, 273, 815, 3403, 10797, 343, 272, 267, 586, 272, 815, 533, 272, 21858, 3488, 30386, 343, 273, 267, 586, 273, 815, 533, 273, 21858, 3488, 1412, 2020, 343, 272, 815, 10581, 3287, 272, 994, 344, 272, 815, 10581, 12169, 272, 994, 343, 273, 815, 10581, 3287, 273, 994, 344, 273, 815, 10581, 12169, 273, 2020, 323, 815, 2979, 28460, 9638, 578, 3287, 273, 910, 1535, 272, 267, 476, 273, 264, 1341, 4073, 12169, 273, 910, 586, 272, 267, 476, 273, 11723, 2745, 3488, 346, 15545, 275, 325, 348, 8339, 8971, 5560, 4297, 0, 12163, 30022, 23037, 620, 2998, 538, 5124, 274, 454, 20701, 3698, 2656, 5334, 677, 19906, 2187, 825, 8173, 825, 2656, 5334, 677, 12204, 606, 5044, 540, 9981, 563, 825, 8173, 825, 952, 7003, 19906, 264, 10922, 476, 272, 912, 1038, 2132, 2855, 692, 825, 22141, 815, 2855, 314, 6352, 19906, 264, 12262, 476, 273, 2639, 825, 2451, 815, 1496, 343, 585, 1535, 538, 2855, 952, 1535, 2999, 22141, 2639, 825, 1647, 815, 1496, 343, 585, 1535, 538, 2855, 952, 1535, 2652, 22141, 2639, 825, 1318, 815, 1496, 343, 585, 1535, 538, 2855, 952, 1535, 3436, 22141, 6540, 825, 2132, 2656, 5334, 677, 263, 3847, 264, 1341, 1647, 1341, 2656, 5334, 677, 263, 2431, 2020, 2745, 263, 638, 1157, 5334, 677, 8443, 275, 267, 476, 273, 267, 476, 278, 267, 476, 280, 267, 476, 276, 267, 476, 272, 267, 476, 278, 267, 476, 272, 267, 476, 6246, 267, 910, 276, 267, 476, 272, 267, 476, 10602, 267, 910, 31079, 272, 267, 476, 276, 267, 476, 278, 28413, 0, 258, 295, 650, 595, 8327, 7402, 7973, 528, 630, 28049, 994, 258, 2421, 9995, 571, 19358, 692, 2745, 834, 295, 650, 595, 8327, 7402, 7973, 528, 630, 28049, 264, 5016, 5228, 4351, 1104, 28219, 842, 692, 531, 8224, 815, 22373, 288, 2580, 834, 289, 2580, 834, 290, 2580, 834, 291, 2580, 834, 292, 2580, 834, 293, 2580, 834, 294, 2580, 834, 295, 2580, 834, 296, 2580, 834, 297, 2580, 834, 298, 2580, 834, 299, 2580, 834, 300, 2580, 834, 301, 2580, 834, 383, 495, 2580, 834, 302, 2580, 834, 303, 2580, 834, 304, 2580, 834, 305, 2580, 834, 306, 2580, 834, 307, 2580, 834, 308, 2580, 834, 309, 2580, 834, 310, 2580, 834, 311, 2580, 834, 312, 2580, 834, 313, 257, 6540, 20657, 7973, 539, 815, 6151, 17750, 2891, 17504, 547, 17278, 281, 834, 1040, 21639, 4590, 5320, 815, 1232, 7973, 539, 454, 323, 24512, 815, 11713, 1721, 524, 538, 1232, 7973, 539, 912, 476, 546, 24512, 6910, 6262, 2020, 2745, 834, 763, 1883, 5119, 1590, 581, 2185, 5022, 1279, 543, 4570, 5022, 540, 519, 5053, 9904, 4799, 4486, 815, 834, 1492, 5379, 4840, 6112, 711, 630, 4486, 18994, 10401, 3890, 543, 7003, 31107, 264, 2652, 476, 275, 264, 10778, 476, 1883, 815, 6151, 17750, 2891, 7659, 5119, 2262, 281, 834, 1040, 21639, 4590, 4486, 29999, 815, 1883, 454, 330, 24512, 815, 11713, 1721, 524, 273, 538, 1883, 912, 476, 737, 24512, 6910, 6262, 273, 2020, 1721, 1775, 538, 2039, 263, 271, 267, 7003, 5560, 24512, 15892, 476, 546, 24512, 5157, 316, 815, 9904, 28827, 5560, 24512, 5157, 20285, 1721, 1775, 273, 538, 2039, 263, 271, 267, 7003, 17347, 24512, 15892, 476, 737, 24512, 5157, 273, 316, 815, 9904, 28827, 17347, 24512, 5157, 273, 20285, 16838, 815, 6936, 454, 604, 7003, 5560, 24512, 264, 4939, 476, 273, 2652, 476, 272, 912, 476, 546, 24512, 6910, 263, 271, 994, 476, 1256, 815, 8771, 692, 16780, 7973, 539, 815, 11713, 1721, 795, 538, 2039, 263, 271, 267, 703, 12759, 5560, 24512, 8358, 273, 15892, 476, 546, 24512, 14728, 316, 815, 630, 330, 24512, 314, 271, 30297, 842, 5560, 24512, 14728, 8079, 1341, 737, 24512, 314, 272, 30297, 703, 5560, 24512, 14728, 266, 272, 316, 4297, 260, 2767, 454, 476, 546, 24512, 14728, 266, 272, 316, 815, 630, 330, 24512, 314, 273, 30297, 842, 5560, 24512, 14728, 8079, 1341, 737, 24512, 314, 274, 30297, 703, 5560, 24512, 14728, 266, 272, 316, 4297, 260, 2767, 692, 1721, 1775, 274, 538, 2039, 630, 271, 267, 7003, 5560, 24512, 15892, 476, 546, 24512, 5157, 274, 316, 815, 9904, 314, 323, 24512, 5157, 274, 316, 6540, 16780, 7973, 539, 815, 834, 4840, 1721, 524, 274, 538, 546, 24512, 912, 476, 24290, 815, 24290, 1341, 1193, 6262, 274, 2020, 604, 711, 1256, 912, 476, 24290, 815, 24290, 11468, 6352, 263, 16780, 7973, 539, 9984, 272, 6540, 258, 24342, 692, 2745, 834, 763, 24290, 3009, 568, 4939, 338, 257, 4939, 24290, 454, 0, 18411, 8620, 513, 11718, 602, 12958, 519, 10945, 540, 2338, 909, 547, 930, 1297, 715, 454, 18411, 3698, 575, 839, 638, 4100, 18217, 2187, 825, 585, 1297, 538, 2039, 18217, 2187, 1038, 6556, 1297, 2878, 476, 273, 692, 258, 1721, 1535, 538, 575, 839, 638, 4100, 263, 1015, 2187, 825, 1948, 2745, 3287, 2020, 18411, 8620, 513, 11718, 602, 11729, 1412, 333, 262, 4351, 1297, 1063, 513, 1970, 543, 1164, 1297, 602, 616, 11378, 454, 18411, 5814, 4351, 692, 3698, 28219, 19571, 263, 869, 267, 14683, 19885, 2187, 825, 585, 1297, 538, 2039, 3799, 2187, 1038, 6556, 4351, 27110, 263, 869, 267, 14683, 2020, 1721, 1003, 538, 28219, 19571, 263, 272, 267, 1015, 267, 1321, 2187, 825, 1820, 16325, 9239, 18411, 8196, 519, 12055, 3890, 1599, 547, 6460, 519, 5569, 2630, 547, 606, 954, 1807, 454, 18411, 338, 815, 834, 31435, 4840, 527, 23952, 815, 12055, 4433, 2020, 1721, 1915, 538, 621, 23952, 912, 825, 1820, 1915, 692, 18411, 23737, 513, 946, 2013, 585, 513, 11718, 1210, 513, 6556, 3948, 1141, 596, 9327, 1405, 1616, 547, 946, 513, 3339, 1599, 609, 513, 2132, 3948, 1384, 2691, 10451, 5458, 2179, 547, 1239, 602, 568, 2469, 547, 581, 1031, 543, 1287, 10032, 269, 898, 568, 1732, 547, 946, 11718, 607, 621, 786, 711, 4688, 4376, 454, 514, 3965, 563, 18257, 692, 18411, 17653, 1807, 24366, 912, 2005, 568, 899, 1592, 8223, 855, 3079, 540, 4466, 782, 519, 3688, 596, 616, 5461, 543, 24386, 873, 883, 513, 1592, 267, 621, 3649, 1080, 543, 11729, 454, 26421, 6221, 856, 540, 519, 1163, 637, 5235, 835, 676, 835, 454, 18411, 3240, 8217, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 267, 279, 267, 280, 2639, 327, 27941, 318, 22474, 318, 22764, 8217, 815, 1496, 14403, 585, 6221, 538, 1250, 8217, 952, 6221, 3436, 476, 274, 2639, 2745, 22607, 27941, 318, 22474, 318, 22764, 8217, 994, 2745, 12759, 22607, 27941, 318, 22474, 318, 22764, 8217, 11723, 258, 31098, 8223, 630, 1492, 3017, 568, 538, 519, 2511, 540, 23049, 267, 585, 1592, 621, 568, 32582, 585, 1024, 4818, 31156, 16149, 8217, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 267, 279, 267, 280, 2639, 2102, 4818, 815, 630, 14403, 585, 6221, 538, 2034, 8217, 952, 6221, 3436, 476, 274, 2020, 28744, 263, 2102, 4818, 994, 28744, 12759, 263, 2102, 4818, 4297, 1948, 810, 20248, 621, 814, 1100, 3259, 692, 2745, 263, 2102, 4818, 12785, 15405, 2745, 263, 10113, 263, 2102, 4818, 4297, 0, 18411, 13356, 528, 2209, 568, 606, 4434, 9226, 1888, 269, 5463, 528, 2209, 1450, 596, 547, 1232, 582, 622, 513, 1599, 269, 14597, 649, 723, 513, 1599, 543, 649, 1616, 547, 1039, 3097, 2169, 571, 10342, 547, 621, 269, 476, 1703, 616, 1079, 3681, 1101, 568, 547, 1039, 3063, 3009, 547, 519, 4540, 1599, 267, 519, 1966, 568, 602, 607, 649, 723, 454, 7116, 1881, 519, 2025, 1599, 922, 10342, 814, 4957, 543, 8754, 649, 666, 1405, 1289, 568, 3362, 563, 5194, 4781, 568, 547, 1711, 513, 1007, 1599, 5299, 519, 3009, 689, 519, 3105, 1599, 543, 1287, 1039, 1007, 3009, 547, 621, 267, 855, 621, 1797, 3097, 933, 1185, 547, 27682, 519, 3009, 267, 1256, 1498, 621, 568, 2241, 5299, 543, 13594, 563, 3719, 1018, 952, 649, 1287, 1616, 547, 4894, 602, 3063, 10342, 269, 1284, 1131, 991, 547, 18419, 621, 16924, 610, 1118, 2386, 547, 723, 519, 2025, 1599, 454, 288, 1732, 1259, 568, 547, 723, 606, 593, 270, 4752, 6467, 547, 3533, 1039, 713, 10342, 563, 23911, 814, 7718, 2209, 602, 1450, 721, 547, 8214, 593, 3063, 10342, 547, 606, 2907, 4540, 1599, 563, 2171, 946, 519, 7711, 11346, 543, 616, 1287, 5116, 593, 1283, 540, 519, 3312, 1599, 563, 288, 7718, 1807, 568, 1175, 513, 1599, 602, 4991, 1572, 1354, 519, 824, 1599, 563, 18411, 3698, 30775, 10031, 825, 2132, 476, 272, 22562, 28744, 263, 6943, 6600, 15635, 4917, 28744, 6600, 15635, 2020, 3698, 32597, 10031, 825, 2132, 834, 15916, 15323, 326, 22901, 815, 32597, 692, 28744, 14116, 22901, 994, 28744, 14116, 22901, 15405, 258, 23437, 32597, 454, 258, 31435, 4590, 18411, 30131, 1448, 547, 4063, 568, 602, 3252, 616, 3615, 602, 666, 581, 5293, 547, 1776, 1843, 563, 6781, 913, 649, 25216, 519, 32597, 3890, 1599, 855, 649, 666, 1869, 14892, 519, 26250, 607, 513, 1599, 267, 1317, 32597, 3890, 3097, 10818, 729, 5293, 593, 547, 621, 563, 18411, 28744, 14116, 22901, 31156, 3698, 32597, 28442, 8782, 2026, 574, 262, 2187, 825, 1820, 3488, 763, 32597, 1599, 814, 1044, 13401, 256, 17210, 825, 1219, 26250, 10031, 1038, 2132, 1412, 315, 339, 901, 568, 519, 26250, 3890, 30775, 3330, 32597, 256, 7055, 8931, 825, 1219, 10950, 10031, 1038, 2132, 1412, 315, 339, 713, 568, 10950, 3890, 3330, 32597, 7055, 8931, 825, 1820, 3488, 296, 993, 2469, 547, 2132, 513, 1599, 8627, 17210, 825, 952, 2012, 2652, 1412, 2026, 574, 12466, 1038, 2132, 26250, 454, 825, 3116, 912, 1038, 2132, 10950, 454, 18411, 30131, 1448, 547, 5469, 568, 602, 26250, 3890, 543, 10950, 3252, 616, 1152, 7298, 3330, 519, 32597, 3890, 1599, 563, 11073, 2515, 891, 3252, 891, 3252, 616, 711, 7298, 269, 865, 875, 666, 649, 1569, 891, 3252, 269, 476, 4270, 952, 649, 666, 1118, 3097, 31435, 3890, 547, 2132, 513, 1599, 1287, 621, 786, 960, 269, 1924, 519, 32597, 3890, 1599, 786, 581, 9168, 547, 2132, 519, 26250, 610, 10950, 1599, 3097, 337, 1430, 1287, 1175, 1210, 519, 1820, 3948, 563, 18411, 258, 3240, 318, 2908, 6958, 15635, 815, 32597, 4590, 28744, 30044, 318, 2908, 6958, 15635, 994, 28744, 30044, 318, 2908, 6958, 15635, 31156, 3698, 3579, 10031, 825, 1219, 2706, 6831, 944, 10031, 1038, 2132, 1412, 296, 993, 1360, 3579, 8627, 7055, 825, 2132, 2706, 6831, 944, 692, 258, 16341, 6958, 15635, 815, 3579, 4590, 28744, 4433, 727, 6958, 15635, 3890, 9239, 3698, 32597, 10031, 825, 2132, 1412, 17098, 1306, 574, 28847, 3698, 824, 4433, 727, 318, 3698, 6958, 15635, 2187, 825, 23288, 825, 9521, 1354, 1631, 649, 616, 8429, 1599, 607, 606, 989, 745, 618, 454, 825, 649, 1287, 14892, 930, 3009, 543, 1287, 608, 624, 826, 519, 1599, 3097, 825, 5293, 607, 606, 4661, 563, 825, 23288, 825, 1820, 3488, 8448, 3009, 8255, 1934, 256, 5073, 825, 1820, 4433, 727, 318, 3698, 6958, 15635, 31156, 258, 898, 568, 1271, 547, 5469, 602, 649, 616, 8429, 32597, 711, 32597, 19572, 1317, 32597, 3890, 568, 11056, 543, 3097, 258, 649, 1810, 1405, 1616, 547, 14892, 519, 1599, 267, 519, 11056, 786, 581, 2944, 3330, 519, 824, 4590, 2745, 263, 1278, 263, 31435, 264, 9239, 3698, 1007, 318, 1372, 14585, 1807, 263, 13092, 6958, 15635, 17107, 825, 1219, 16833, 6958, 15635, 10031, 1038, 23288, 1038, 634, 2856, 568, 547, 1491, 513, 1599, 267, 1039, 3063, 10342, 547, 621, 543, 1287, 2132, 621, 454, 1038, 2353, 519, 1657, 1806, 616, 547, 5965, 585, 519, 7718, 1807, 543, 547, 1174, 621, 1732, 563, 1038, 23288, 1038, 1820, 3488, 5278, 3063, 3009, 267, 1354, 519, 3312, 1599, 5073, 1038, 3312, 6958, 15635, 4590, 1038, 1820, 3488, 5278, 3063, 3009, 267, 1310, 519, 3312, 1599, 256, 17210, 825, 2132, 16833, 6958, 15635, 692, 3698, 30775, 318, 928, 2644, 318, 1372, 14585, 1807, 10031, 825, 1820, 3488, 296, 1616, 547, 581, 21243, 8627, 5073, 18411, 12989, 568, 519, 1279, 1259, 540, 3257, 1919, 269, 3097, 18411, 258, 1372, 14585, 730, 6958, 15635, 815, 1007, 318, 1372, 14585, 1807, 6600, 15635, 318, 928, 2644, 318, 1372, 14585, 1807, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3815, 602, 4188, 338, 519, 5232, 540, 5191, 269, 901, 568, 1634, 607, 513, 22621, 512, 23150, 780, 3086, 267, 1577, 781, 3802, 998, 519, 3009, 1384, 3499, 7090, 454, 5814, 21795, 607, 19073, 454, 5814, 11885, 607, 5286, 454, 5228, 1085, 27251, 14714, 1846, 1104, 512, 454, 5228, 28189, 269, 2181, 30112, 1104, 3687, 16655, 306, 5632, 518, 454, 5228, 28189, 6230, 617, 601, 26000, 3005, 1104, 3444, 26371, 23962, 267, 918, 293, 1245, 692, 258, 20509, 519, 10471, 454, 323, 21648, 564, 815, 19073, 18667, 32269, 3488, 323, 21648, 564, 27406, 17210, 258, 2776, 15263, 519, 1239, 454, 311, 815, 10471, 269, 11161, 18020, 32473, 272, 4940, 770, 4286, 18828, 269, 15615, 5038, 994, 312, 815, 10471, 9131, 303, 528, 13920, 630, 8472, 262, 4940, 11161, 269, 770, 4286, 18828, 269, 15615, 5038, 994, 312, 815, 6515, 312, 32265, 4671, 4920, 845, 263, 312, 269, 31412, 8987, 272, 267, 476, 272, 26895, 30584, 10797, 258, 16294, 519, 3444, 29705, 9179, 1505, 454, 29764, 815, 918, 293, 1245, 3799, 5334, 680, 1080, 284, 1015, 267, 695, 28984, 18989, 2020, 258, 20509, 519, 2773, 8464, 540, 1079, 3631, 454, 637, 573, 783, 815, 19073, 18667, 32269, 18692, 825, 19419, 2839, 308, 28940, 318, 293, 11223, 318, 2793, 10933, 267, 694, 335, 8782, 282, 3299, 8918, 284, 8339, 5073, 16347, 318, 272, 5334, 13990, 815, 15895, 9131, 306, 23623, 262, 4940, 11161, 476, 1948, 8464, 540, 519, 1655, 2203, 454, 16347, 318, 273, 5334, 13990, 815, 15895, 9131, 14976, 2880, 15187, 262, 4940, 11161, 476, 1948, 8464, 540, 519, 2034, 1532, 652, 2203, 692, 258, 12433, 519, 3017, 538, 2773, 1063, 519, 1079, 3631, 454, 18528, 3720, 815, 2203, 318, 272, 5334, 13990, 910, 2203, 318, 273, 5334, 13990, 692, 258, 12433, 519, 1297, 540, 1449, 5036, 543, 519, 5232, 540, 5191, 454, 333, 815, 476, 1015, 476, 1948, 1297, 540, 1449, 5036, 454, 4206, 815, 562, 910, 476, 272, 454, 333, 17601, 815, 7003, 17338, 6262, 341, 21858, 11583, 267, 962, 4297, 314, 271, 6012, 271, 7481, 333, 15305, 815, 7003, 17338, 6262, 341, 21858, 11583, 267, 962, 4297, 314, 271, 6012, 272, 20285, 258, 12433, 519, 22621, 512, 17032, 543, 533, 17032, 454, 339, 14067, 520, 267, 533, 26371, 815, 12337, 6831, 8091, 539, 318, 1777, 652, 5560, 858, 3720, 267, 17093, 267, 562, 17601, 267, 562, 15305, 2020, 258, 12433, 519, 4608, 8091, 539, 512, 17032, 543, 533, 17032, 454, 339, 14067, 520, 318, 15635, 8091, 539, 815, 27210, 825, 5286, 32557, 5560, 858, 3720, 264, 1315, 5286, 28460, 18828, 269, 12534, 5560, 858, 3720, 267, 546, 323, 1993, 284, 272, 264, 1315, 562, 994, 994, 335, 26371, 318, 15635, 8091, 539, 815, 512, 4732, 325, 18828, 269, 11274, 6025, 14067, 520, 318, 15635, 8091, 539, 1070, 17093, 994, 7884, 1103, 519, 3009, 1657, 267, 649, 1101, 4452, 543, 840, 15263, 938, 10471, 269, 1284, 1287, 4452, 519, 2773, 8464, 540, 1079, 3631, 543, 5173, 519, 3017, 538, 741, 2773, 269, 1284, 5173, 519, 1297, 540, 1449, 5036, 543, 519, 5232, 540, 5191, 267, 799, 616, 1031, 547, 5173, 519, 22621, 543, 4608, 8091, 539, 512, 268, 11161, 543, 533, 268, 11161, 780, 763, 22621, 512, 17032, 543, 533, 17032, 616, 7229, 1210, 513, 1599, 2387, 4818, 1393, 6831, 8091, 539, 318, 1777, 652, 3890, 12452, 799, 568, 711, 3989, 538, 519, 3009, 1349, 269, 901, 1599, 1131, 2693, 946, 513, 15494, 3815, 547, 4188, 519, 5232, 540, 5191, 543, 5173, 519, 22621, 512, 17032, 543, 533, 17032, 780, 763, 4608, 8091, 539, 512, 17032, 543, 533, 17032, 616, 7229, 1210, 519, 4542, 585, 513, 512, 23150, 267, 799, 3322, 12719, 519, 1611, 543, 13065, 540, 519, 3604, 538, 2773, 543, 1287, 1210, 519, 512, 1673, 626, 9084, 547, 5173, 519, 533, 17032, 780, 1103, 3932, 267, 1620, 8579, 2079, 568, 2629, 585, 10442, 543, 9236, 3684, 1565, 3631, 269, 570, 2389, 3949, 616, 513, 3532, 1907, 585, 713, 267, 855, 621, 781, 1271, 547, 946, 873, 7157, 267, 2523, 538, 519, 2796, 540, 3444, 29705, 9179, 269, 1635, 1620, 891, 2035, 543, 7311, 873, 7157, 267, 649, 666, 1118, 811, 5483, 3664, 827, 799, 3631, 547, 946, 543, 875, 547, 2087, 873, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 564, 269, 11161, 18020, 32473, 272, 4940, 770, 4286, 18828, 269, 15615, 5038, 994, 312, 815, 10471, 9131, 303, 528, 13920, 630, 8472, 262, 4940, 11161, 269, 770, 4286, 18828, 269, 15615, 5038, 2020, 7825, 312, 815, 3687, 16655, 306, 5632, 518, 4590, 312, 815, 6515, 312, 32265, 4671, 4920, 845, 263, 312, 269, 31412, 8987, 272, 267, 476, 272, 26895, 30584, 10797, 258, 14892, 318, 23024, 2939, 10797, 637, 573, 783, 815, 19073, 18667, 32269, 18692, 825, 19419, 2839, 308, 28940, 318, 293, 11223, 318, 2793, 10933, 267, 694, 335, 8782, 282, 3299, 8918, 284, 8339, 5073, 16347, 318, 272, 5334, 13990, 815, 15895, 9131, 306, 23623, 262, 4940, 11161, 476, 1948, 8464, 540, 519, 1655, 2203, 454, 258, 8464, 540, 519, 2034, 1532, 652, 2203, 454, 16347, 318, 273, 5334, 13990, 815, 15895, 9131, 14976, 2880, 15187, 262, 4940, 11161, 692, 18528, 3720, 815, 2203, 318, 272, 5334, 13990, 910, 2203, 318, 273, 5334, 13990, 692, 333, 815, 476, 1015, 476, 1948, 1297, 540, 1449, 5036, 454, 4206, 815, 562, 910, 476, 272, 454, 333, 17601, 815, 7003, 17338, 6262, 341, 21858, 11583, 267, 962, 4297, 314, 271, 6012, 271, 7481, 333, 15305, 815, 7003, 17338, 6262, 341, 21858, 11583, 267, 962, 4297, 314, 271, 6012, 272, 20285, 339, 14067, 520, 267, 533, 26371, 815, 12337, 6831, 8091, 539, 318, 1777, 652, 5560, 858, 3720, 267, 17093, 267, 562, 17601, 267, 562, 15305, 994, 2745, 6600, 257, 28557, 539, 512, 17032, 281, 2715, 339, 14067, 520, 15545, 274, 325, 4153, 333, 4840, 8587, 535, 257, 28557, 539, 533, 17032, 281, 2715, 335, 26371, 15545, 274, 325, 348, 15419, 339, 14067, 520, 318, 15635, 8091, 539, 815, 27210, 825, 5286, 32557, 5560, 858, 3720, 264, 1315, 5286, 28460, 18828, 269, 12534, 5560, 858, 3720, 267, 546, 323, 1993, 284, 272, 264, 1315, 562, 994, 994, 335, 26371, 318, 15635, 8091, 539, 815, 512, 4732, 325, 18828, 269, 11274, 6025, 14067, 520, 318, 15635, 8091, 539, 1070, 17093, 2020, 2745, 6600, 257, 4462, 322, 8091, 539, 512, 17032, 281, 2715, 339, 14067, 520, 318, 15635, 8091, 539, 15545, 274, 325, 4153, 333, 4840, 8587, 535, 257, 4462, 322, 8091, 539, 533, 17032, 281, 2715, 335, 26371, 318, 15635, 8091, 539, 15545, 274, 325, 348, 5602, 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, 5149, 7170, 281, 3474, 534, 5436, 623, 2720, 7057, 910, 14958, 532, 3281, 2454, 19565, 11470, 774, 18115, 619, 692, 1103, 713, 1770, 267, 649, 5490, 883, 519, 1148, 540, 2870, 9159, 31510, 5436, 26497, 619, 585, 11174, 9458, 269, 1284, 2263, 1585, 2553, 602, 5512, 596, 547, 4020, 20605, 1650, 16447, 338, 267, 1402, 3634, 873, 609, 10578, 3197, 267, 543, 28433, 17680, 6137, 13602, 28093, 4240, 609, 824, 16447, 569, 2609, 269, 3776, 1445, 568, 16135, 538, 519, 3741, 13890, 538, 590, 826, 966, 11107, 262, 1433, 267, 834, 1015, 17778, 547, 12861, 6490, 22789, 16992, 2437, 799, 11363, 1915, 1646, 607, 519, 5127, 13702, 2390, 799, 2502, 6386, 616, 3710, 269, 901, 1935, 798, 23439, 5661, 16900, 609, 938, 3804, 540, 13167, 11108, 31510, 5436, 18697, 2984, 780, 8893, 2290, 281, 8490, 2659, 8111, 11499, 17807, 692, 2691, 8888, 707, 16750, 7122, 267, 621, 568, 1898, 547, 10880, 513, 10347, 3666, 1063, 23440, 543, 3209, 1399, 269, 2755, 3988, 6159, 557, 5169, 1275, 267, 789, 849, 5660, 1373, 2111, 547, 19671, 2933, 1369, 25992, 5468, 610, 3871, 269, 3399, 676, 7114, 1018, 3344, 540, 4641, 596, 6999, 547, 11677, 543, 1287, 2015, 1141, 10962, 28531, 2609, 1522, 3986, 519, 2239, 269, 1280, 3236, 267, 6220, 15293, 338, 883, 4207, 28180, 1272, 8591, 6106, 540, 6988, 1247, 4509, 10333, 780, 2026, 596, 17145, 856, 707, 1158, 267, 2307, 3054, 2055, 899, 281, 1215, 1281, 9059, 1599, 286, 1548, 3652, 1827, 922, 946, 286, 3657, 972, 4539, 547, 8840, 891, 4031, 286, 1635, 9591, 2312, 4808, 2038, 593, 267, 596, 2057, 10539, 1524, 519, 1899, 543, 6536, 11007, 2429, 707, 960, 269, 3958, 267, 1589, 827, 2686, 6286, 1107, 875, 1131, 2486, 2746, 952, 21947, 609, 15889, 6169, 540, 519, 1310, 5158, 610, 31373, 14111, 6228, 286, 1452, 29293, 666, 1291, 547, 3638, 8513, 585, 3695, 4798, 4143, 547, 15730, 3988, 780, 8893, 5565, 281, 15043, 31453, 1308, 3474, 534, 5436, 5019, 6782, 1235, 692, 7312, 16502, 5713, 607, 519, 5467, 781, 3119, 3391, 998, 707, 2813, 7122, 282, 4061, 267, 741, 4070, 11562, 1218, 6297, 7156, 269, 1879, 13167, 513, 31510, 5436, 5869, 610, 5869, 710, 267, 1832, 538, 2247, 602, 789, 1058, 581, 11541, 5103, 630, 528, 1317, 540, 264, 741, 2189, 5759, 269, 1358, 1590, 20920, 609, 2591, 1455, 547, 782, 14038, 267, 971, 607, 1582, 22523, 267, 3961, 5250, 267, 543, 10188, 1514, 25327, 269, 1717, 267, 7429, 6093, 4947, 6361, 21943, 8941, 267, 707, 3844, 4137, 949, 4865, 9058, 15421, 610, 3068, 8966, 9465, 1813, 547, 741, 4276, 547, 519, 16750, 7706, 780, 13706, 1210, 2645, 899, 1346, 3177, 538, 966, 11107, 262, 834, 1015, 17778, 547, 12861, 6490, 22789, 16992, 257, 547, 2327, 9488, 1646, 269, 4173, 2409, 5000, 4589, 547, 4983, 1169, 25246, 540, 513, 1915, 781, 7209, 267, 689, 2168, 5920, 543, 4282, 3877, 547, 5626, 7592, 543, 18144, 269, 16792, 891, 2994, 2636, 596, 547, 1628, 1950, 2043, 945, 13469, 7184, 609, 1762, 3988, 543, 1796, 6306, 689, 6006, 3197, 1419, 1336, 1369, 9135, 5708, 780, 8893, 8422, 281, 7177, 4400, 21178, 1389, 4762, 26555, 692, 288, 8903, 4729, 31963, 593, 32117, 8082, 543, 30367, 269, 769, 31510, 5436, 18697, 6386, 267, 7526, 4749, 8451, 950, 8723, 2729, 12969, 609, 9058, 4229, 269, 10670, 676, 6998, 1018, 13821, 5397, 707, 16502, 543, 21087, 626, 7567, 267, 607, 891, 3853, 1106, 519, 4493, 585, 1454, 540, 519, 1671, 5224, 12416, 269, 4495, 3964, 267, 6338, 8374, 602, 21279, 741, 27606, 267, 16550, 1312, 5011, 547, 1118, 2352, 5079, 543, 13720, 5837, 21140, 780, 8855, 602, 2500, 4655, 6571, 19329, 2208, 543, 1689, 1851, 1883, 5716, 269, 1306, 707, 3197, 6330, 5051, 30217, 748, 7297, 267, 2154, 873, 547, 556, 24834, 10663, 5892, 4371, 4978, 543, 3082, 1007, 2994, 269, 6270, 13710, 8090, 1683, 3255, 585, 4514, 6278, 609, 4798, 4478, 5539, 267, 10100, 267, 543, 6043, 780, 8893, 9050, 281, 3955, 13512, 1456, 18712, 609, 26135, 692, 3080, 10689, 5658, 540, 3811, 31510, 5436, 18697, 6013, 538, 519, 16471, 540, 10853, 7653, 609, 9735, 2609, 269, 5899, 633, 585, 11466, 1063, 27217, 20825, 543, 9058, 2621, 267, 3850, 1142, 2460, 3160, 2597, 1369, 707, 2239, 13795, 269, 18320, 5230, 513, 1688, 538, 2901, 4287, 4220, 9813, 908, 12415, 540, 707, 3988, 1222, 780, 2414, 3035, 10103, 267, 2226, 15364, 2066, 782, 7516, 540, 707, 9661, 269, 3117, 11962, 4835, 7954, 18791, 20022, 540, 771, 10964, 3971, 267, 7175, 3988, 547, 4628, 23365, 2933, 538, 707, 9112, 1158, 269, 5015, 267, 2721, 4296, 1063, 9583, 19635, 3334, 267, 27283, 5817, 3270, 602, 12927, 22122, 543, 9322, 780, 6962, 281, 29923, 519, 3203, 540, 3474, 534, 5436, 27884, 692, 290, 2761, 532, 9159, 11174, 5708, 26497, 619, 7569, 5578, 995, 12879, 540, 2789, 4632, 267, 1519, 4259, 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 ]
[ 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 623, 27773, 13316, 1315, 27013, 630, 15239, 8566, 21194, 20871, 264, 1315, 15726, 302, 10055, 1464, 543, 3690, 10337, 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, 23558, 593, 13941, 9108, 593, 713, 15116, 4541, 1572, 3047, 256, 1306, 596, 6330, 713, 14542, 8513, 267, 649, 2811, 9599, 547, 3391, 596, 998, 835, 540, 8103, 781, 1034, 7415, 2833, 281, 4742, 513, 3993, 780, 8923, 4063, 602, 713, 3102, 5850, 17648, 1100, 1991, 1702, 540, 1480, 7350, 267, 1514, 8155, 267, 610, 2686, 2853, 269, 1284, 3513, 1491, 621, 689, 519, 4098, 267, 865, 31617, 909, 630, 528, 2864, 267, 588, 1905, 3054, 883, 707, 14361, 264, 543, 1205, 4712, 547, 1451, 2439, 1262, 3721, 476, 272, 281, 4197, 5274, 3115, 3174, 4373, 6524, 11362, 883, 519, 1184, 540, 4742, 513, 3993, 267, 1577, 781, 3382, 930, 4909, 2035, 1384, 265, 2878, 14549, 10334, 5093, 18972, 616, 2713, 7919, 7768, 540, 2281, 267, 8219, 267, 543, 1949, 2324, 1927, 547, 2844, 1272, 563, 265, 2878, 11847, 3174, 5093, 634, 6211, 1184, 676, 799, 3425, 1711, 15556, 568, 1572, 12093, 269, 898, 3322, 519, 12760, 540, 4719, 1570, 689, 1079, 2043, 547, 1106, 513, 1007, 1373, 563, 265, 2878, 29189, 783, 3955, 322, 6847, 5093, 589, 2067, 267, 931, 839, 783, 957, 1063, 1079, 2937, 3425, 5473, 2168, 25055, 267, 3056, 547, 519, 5385, 540, 10285, 2281, 630, 338, 11279, 543, 4212, 6393, 3086, 267, 1577, 781, 2263, 875, 891, 3334, 2097, 1927, 1384, 2162, 5153, 476, 272, 269, 272, 281, 1230, 4003, 692, 3519, 4003, 4386, 950, 513, 14203, 1591, 6992, 3278, 606, 4212, 1591, 1282, 4638, 26697, 269, 901, 2356, 4523, 3330, 519, 4775, 1560, 267, 4481, 1369, 519, 2887, 26508, 13740, 780, 265, 2878, 306, 11279, 19204, 5093, 21277, 1027, 676, 9038, 267, 891, 6263, 2281, 4163, 3368, 540, 519, 4719, 1570, 2877, 585, 17748, 563, 265, 2878, 292, 1375, 8426, 5093, 1234, 548, 1078, 676, 8951, 267, 713, 3677, 1591, 3568, 519, 824, 3368, 540, 519, 2556, 4719, 1570, 563, 265, 2878, 293, 1068, 16478, 5093, 1879, 513, 2582, 14203, 1591, 6707, 11579, 6233, 519, 9018, 4494, 540, 519, 4212, 1591, 267, 4611, 538, 513, 1990, 17789, 1774, 630, 320, 2582, 16052, 539, 11769, 5627, 5027, 689, 1312, 3237, 6393, 1262, 30131, 8881, 8074, 5093, 20351, 26697, 1058, 2141, 581, 13736, 609, 8994, 9844, 267, 2463, 267, 543, 4027, 1996, 16770, 10299, 5563, 630, 306, 30454, 1040, 2422, 3617, 11064, 2409, 610, 5077, 2199, 1072, 8128, 585, 5583, 780, 2162, 5153, 476, 272, 269, 273, 281, 26579, 692, 5475, 3811, 22289, 267, 519, 1990, 17789, 1774, 5956, 12270, 6385, 607, 621, 12599, 1524, 519, 2887, 26508, 8546, 4724, 519, 19786, 780, 265, 2878, 3412, 8690, 566, 5093, 15907, 476, 277, 268, 1015, 2395, 1310, 22289, 267, 519, 21872, 1140, 2851, 3294, 547, 519, 29897, 16298, 267, 16287, 519, 1376, 540, 6379, 563, 265, 2878, 308, 614, 639, 5093, 589, 16757, 1418, 4092, 538, 519, 10652, 6665, 267, 3743, 585, 14637, 543, 5885, 19341, 1646, 2429, 32460, 563, 265, 2878, 5522, 8809, 320, 5093, 589, 10151, 1418, 4646, 1282, 6379, 267, 8220, 519, 3384, 21565, 547, 519, 3993, 781, 18072, 585, 8770, 543, 5135, 3761, 780, 303, 27389, 3599, 3335, 16569, 1472, 476, 2412, 4374, 267, 5258, 883, 1614, 959, 1307, 1562, 269, 4438, 713, 942, 267, 519, 3395, 21565, 786, 1020, 2101, 8219, 267, 12823, 267, 543, 15629, 3252, 780, 1262, 29222, 5517, 5093, 9894, 596, 917, 602, 513, 9176, 4807, 666, 1995, 6640, 19210, 1813, 547, 17441, 2242, 286, 5213, 1405, 5855, 282, 621, 781, 3339, 543, 2356, 7449, 1938, 676, 519, 2034, 959, 30478, 2439, 1262, 3721, 476, 273, 281, 27759, 585, 623, 13873, 11856, 4373, 2026, 519, 6379, 22264, 267, 621, 781, 1898, 547, 5965, 14156, 267, 9308, 267, 543, 2845, 12264, 585, 519, 12625, 540, 519, 4816, 780, 2162, 5153, 476, 273, 269, 272, 281, 8490, 513, 8081, 8416, 692, 20776, 1037, 532, 3054, 609, 6068, 3283, 267, 2828, 267, 543, 3782, 4648, 666, 1118, 513, 1713, 3017, 1282, 713, 3460, 780, 265, 2878, 8512, 1676, 270, 8967, 1787, 5093, 1403, 10858, 267, 4125, 873, 538, 3375, 6194, 3157, 543, 3929, 1489, 563, 265, 2878, 23991, 16840, 5093, 9523, 3377, 609, 2673, 14077, 543, 1628, 3347, 602, 786, 5351, 538, 1126, 3249, 543, 3929, 1134, 5630, 563, 265, 2878, 10890, 3249, 3038, 11107, 5093, 19372, 513, 4276, 609, 6188, 13011, 2103, 267, 4571, 342, 1161, 267, 610, 3119, 1416, 13500, 585, 2834, 2638, 13522, 543, 27514, 1416, 780, 2162, 5153, 476, 273, 269, 273, 281, 715, 4669, 1005, 8447, 2657, 692, 14611, 1555, 513, 7059, 2732, 3638, 538, 5567, 267, 3251, 19872, 267, 543, 4225, 1582, 13282, 547, 2327, 6099, 14774, 543, 19341, 9716, 780, 265, 2878, 301, 9173, 5093, 10312, 593, 2898, 3536, 899, 5613, 267, 5388, 267, 10709, 5946, 267, 543, 2898, 9274, 1247, 12145, 9268, 3688, 543, 14933, 6981, 563, 265, 2878, 19865, 5093, 18918, 538, 9793, 267, 1970, 16151, 2238, 9516, 676, 3782, 7426, 267, 971, 607, 6972, 267, 10649, 267, 610, 10977, 563, 265, 2878, 27916, 543, 4039, 1314, 566, 5093, 26875, 1125, 3207, 267, 9066, 267, 543, 2566, 3146, 706, 1424, 2553, 547, 4383, 9854, 543, 4160, 780, 1262, 3682, 17785, 5093, 6333, 679, 13764, 538, 27638, 2069, 5049, 610, 2228, 2200, 547, 1732, 1174, 4074, 3681, 267, 1928, 2359, 267, 543, 2022, 31691, 6051, 780, 1262, 3721, 476, 274, 281, 21969, 5765, 2659, 17926, 4373, 763, 4090, 748, 8317, 21128, 1107, 4758, 4332, 547, 707, 2370, 22753, 540, 7772, 2439, 2162, 5153, 476, 274, 269, 272, 281, 8534, 543, 24822, 692, 2691, 27373, 1831, 7920, 543, 7928, 267, 621, 781, 2693, 942, 547, 2212, 547, 519, 6413, 610, 2840, 2251, 9744, 780, 265, 2878, 299, 1987, 5093, 2552, 10330, 948, 1847, 519, 4816, 1524, 519, 4332, 12324, 282, 7244, 5751, 267, 18552, 267, 543, 11005, 2553, 666, 8897, 9636, 563, 265, 2878, 22013, 6116, 18169, 5093, 9181, 524, 525, 732, 534, 6810, 630, 290, 5498, 2388, 1070, 21420, 24570, 267, 8623, 1116, 23236, 267, 543, 824, 5079, 609, 707, 3782, 8502, 25656, 563, 265, 2878, 8070, 5937, 601, 6116, 5516, 5093, 25547, 633, 2564, 3007, 267, 20418, 6351, 267, 543, 3929, 1489, 5612, 1739, 6765, 780, 2162, 5153, 476, 274, 269, 273, 281, 20607, 532, 543, 19461, 5516, 692, 17829, 10475, 1101, 8090, 1305, 519, 3942, 585, 15400, 4296, 543, 8823, 780, 265, 2878, 306, 7219, 3562, 4149, 7219, 13555, 5093, 15579, 707, 20169, 1996, 707, 11953, 9221, 547, 3895, 16345, 267, 10038, 741, 2837, 267, 543, 12954, 8023, 26756, 563, 265, 2878, 17954, 770, 16567, 5093, 19372, 14915, 566, 609, 5583, 689, 3782, 4648, 610, 14468, 14915, 566, 29801, 563, 265, 2878, 6124, 9799, 5516, 5093, 6258, 2596, 9882, 13467, 267, 546, 807, 704, 4657, 267, 543, 25695, 2553, 547, 4313, 707, 10867, 780, 1262, 289, 517, 639, 9669, 16001, 265, 19193, 585, 15970, 5049, 610, 11925, 547, 13217, 1983, 543, 6015, 563, 265, 16259, 513, 2922, 12008, 1604, 267, 1286, 10160, 267, 543, 588, 28948, 1354, 8744, 4816, 1753, 563, 265, 18270, 622, 19325, 543, 10027, 880, 1346, 2038, 1296, 1107, 789, 1332, 909, 3728, 2439, 2791, 4312, 1500, 621, 547, 519, 1439, 540, 938, 29882, 5850, 267, 15210, 30226, 518, 256, 29460, 513, 3993, 3340, 9639, 267, 2648, 267, 543, 11428, 269, 5457, 267, 1169, 2385, 16137, 607, 789, 979, 267, 543, 6998, 2055, 568, 513, 1129, 540, 4222, 269, 22737, 713, 6909, 3460, 267, 543, 1810, 1405, 19292, 547, 3914, 856, 952, 596, 991, 2417, 27792, 610, 1489, 780, 16032, 14621, 10484, 314, 7312, 8745, 6540, 310, 9780, 19264, 26513, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 289, 22877, 513, 12624, 257, 538, 519, 2511, 540, 14392, 547, 606, 9813, 3957, 7585, 945, 1175, 15354, 593, 3047, 543, 814, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 782, 519, 2596, 1344, 827, 519, 2168, 543, 1480, 4205, 3238, 269, 1684, 711, 1289, 7585, 606, 9813, 269, 0, 17138, 281, 1215, 547, 5192, 513, 21756, 547, 6145, 1411, 630, 2690, 27258, 2020, 7072, 912, 294, 8724, 519, 15754, 540, 513, 8004, 596, 899, 666, 581, 513, 4101, 2943, 14785, 1995, 269, 901, 3391, 786, 1683, 596, 609, 3102, 3268, 543, 3730, 4388, 547, 948, 2333, 707, 8458, 540, 1818, 1200, 5461, 538, 596, 269, 5457, 267, 1169, 1367, 568, 2189, 282, 3976, 267, 1018, 1568, 585, 835, 1522, 711, 960, 585, 1776, 269, 4793, 1466, 267, 2463, 267, 543, 9758, 15752, 616, 2629, 2429, 713, 1184, 780, 3721, 476, 272, 281, 5700, 23126, 454, 6524, 12394, 547, 4482, 2576, 3116, 267, 1174, 3054, 1101, 269, 10576, 707, 9342, 267, 12755, 267, 4690, 267, 2418, 267, 543, 3853, 269, 9861, 1582, 16477, 2636, 596, 547, 1459, 707, 8076, 1582, 547, 519, 1268, 596, 899, 269, 589, 8004, 3507, 919, 19969, 543, 11413, 811, 982, 21603, 19259, 610, 13587, 527, 995, 3527, 780, 7659, 17785, 281, 14484, 593, 1946, 596, 1616, 713, 1880, 8004, 547, 899, 596, 269, 1772, 621, 1317, 1352, 814, 7907, 602, 13469, 609, 707, 2418, 286, 2107, 798, 596, 3274, 7287, 31070, 286, 11109, 2312, 15752, 5036, 519, 5748, 585, 1022, 2078, 780, 3721, 476, 273, 281, 7994, 519, 9406, 12287, 454, 2005, 781, 1898, 547, 2327, 602, 707, 4606, 616, 25262, 730, 269, 5900, 24219, 519, 4636, 1268, 949, 1291, 547, 29359, 543, 2295, 19874, 269, 27297, 952, 1352, 8843, 2147, 4690, 267, 13000, 1866, 24963, 267, 543, 31825, 16175, 269, 1452, 4191, 5815, 2436, 1352, 1223, 5732, 581, 513, 1434, 6474, 585, 596, 780, 28223, 281, 3680, 4998, 1944, 610, 31561, 1944, 1200, 1759, 9003, 593, 2168, 5920, 269, 6936, 16007, 11710, 689, 3929, 4296, 3710, 2390, 3838, 2833, 267, 8994, 1620, 267, 543, 17356, 780, 3721, 476, 274, 281, 5269, 606, 19461, 17583, 454, 9359, 676, 2502, 538, 13680, 7391, 950, 3255, 8451, 910, 5310, 1282, 1362, 267, 693, 960, 267, 610, 998, 8994, 2828, 269, 13185, 827, 1455, 3584, 971, 607, 12348, 267, 9413, 267, 2835, 267, 610, 1699, 2621, 269, 8058, 9758, 1719, 538, 3478, 547, 917, 1200, 1732, 780, 7659, 17785, 281, 6657, 3742, 6947, 269, 9796, 3007, 547, 1018, 1352, 3081, 267, 2307, 4143, 2055, 267, 543, 4431, 24617, 269, 23227, 908, 18906, 4369, 2982, 2463, 543, 7512, 2417, 6643, 780, 3721, 476, 275, 281, 12706, 11565, 454, 307, 6412, 3029, 519, 4493, 540, 1022, 3811, 2078, 269, 2142, 6325, 267, 5812, 267, 543, 9237, 538, 707, 4205, 609, 1200, 269, 5901, 1476, 573, 1878, 543, 2057, 575, 1601, 31441, 827, 2123, 6927, 269, 3683, 942, 267, 891, 5615, 3715, 3972, 543, 17362, 519, 1259, 585, 4514, 4296, 780, 28223, 281, 898, 3217, 942, 547, 1628, 3972, 267, 865, 1810, 1405, 19060, 1919, 269, 14190, 519, 2078, 547, 1020, 6923, 1510, 2046, 1005, 1200, 883, 13031, 1932, 1454, 1344, 610, 22867, 16349, 569, 780, 3721, 476, 276, 281, 18224, 30151, 454, 18183, 2064, 568, 10694, 1317, 621, 6786, 1582, 12431, 4269, 543, 15657, 269, 19321, 3750, 3346, 1247, 6340, 267, 1796, 7381, 267, 543, 3717, 5693, 269, 1717, 267, 2057, 4947, 1055, 607, 818, 5766, 656, 610, 30107, 995, 269, 1703, 781, 513, 5386, 1899, 1063, 6015, 543, 15483, 1465, 780, 7659, 17785, 281, 25506, 602, 3025, 7959, 8401, 610, 18516, 693, 2053, 269, 5502, 540, 23029, 593, 538, 572, 15247, 267, 1445, 593, 707, 2318, 10305, 543, 7207, 269, 5617, 773, 1324, 538, 3054, 4679, 707, 10171, 540, 1967, 780, 3721, 476, 277, 281, 8058, 2637, 9334, 9877, 1145, 454, 30747, 1145, 4422, 3564, 6071, 2184, 8864, 610, 21806, 269, 2920, 1947, 3343, 2081, 547, 1489, 1200, 9909, 267, 4313, 1200, 1282, 2352, 2053, 267, 543, 8661, 1200, 10781, 269, 1635, 11744, 6568, 543, 8296, 267, 596, 1397, 602, 596, 1871 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8062, 602, 519, 1004, 540, 5101, 7033, 528, 723, 22734, 538, 741, 1279, 6560, 585, 7115, 267, 543, 2152, 602, 723, 818, 17470, 856, 540, 7115, 269, 901, 2272, 4025, 5101, 7033, 528, 1369, 519, 2796, 540, 824, 2022, 12258, 11102, 2829, 267, 15663, 519, 2042, 602, 1034, 540, 873, 723, 5185, 538, 4947, 547, 17680, 1186, 609, 741, 1007, 1922, 895, 22624, 267, 543, 875, 789, 723, 7307, 267, 610, 25314, 534, 3042, 267, 971, 22624, 269, 898, 849, 15244, 519, 4798, 543, 2152, 1369, 519, 7115, 3350, 267, 15663, 875, 891, 723, 733, 756, 3176, 547, 2022, 23949, 11163, 4093, 267, 538, 1880, 519, 1135, 16210, 673, 13253, 602, 3592, 4718, 5101, 7033, 528, 12900, 607, 513, 14323, 1533, 538, 476, 1220, 277, 269, 634, 2835, 20147, 609, 606, 4879, 540, 519, 476, 1220, 278, 12836, 799, 267, 632, 1186, 924, 930, 2022, 3887, 3005, 5208, 267, 4718, 519, 28051, 540, 11180, 3157, 538, 5101, 7033, 528, 267, 543, 799, 6825, 621, 607, 2348, 513, 17321, 2104, 538, 713, 835, 2565, 2463, 563, 6944, 757, 2433, 11872, 593, 715, 32393, 1155, 543, 26538, 4534, 476, 272, 269, 10417, 783, 19047, 4534, 476, 273, 269, 5940, 656, 543, 13636, 20616, 1143, 4534, 476, 274, 269, 11879, 12983, 538, 519, 14412, 26647, 24327, 4534, 476, 275, 269, 634, 6167, 781, 5484, 793, 20616, 1143, 4534, 476, 276, 269, 21846, 547, 14412, 4534, 476, 277, 269, 27519, 543, 18366, 4534, 476, 278, 269, 634, 476, 1220, 278, 5082, 687, 4534, 476, 279, 269, 14891, 3117, 24537, 267, 610, 513, 674, 9229, 3557, 888, 293, 1752, 540, 3194, 454, 8182, 2568, 278, 4139, 9534, 454, 306, 665, 1470, 9483, 20638, 454, 280, 2412, 274, 4200, 4139, 9534, 711, 11992, 9286, 0, 3674, 972, 513, 1761, 2078, 1063, 27441, 543, 824, 11871, 286, 1684, 594, 991, 547, 1205, 13761, 585, 824, 11871, 267, 2147, 547, 1018, 594, 993, 3257, 609, 1250, 17172, 6048, 1169, 476, 274, 3275, 547, 6895, 519, 27441, 563, 27839, 534, 5448, 30279, 636, 568, 513, 23872, 10510, 602, 8129, 689, 519, 6477, 7757, 2281, 630, 17745, 534, 14231, 264, 538, 519, 2960, 269, 4706, 1696, 5735, 568, 1869, 7164, 269, 4634, 519, 1277, 1670, 5169, 540, 519, 14264, 14231, 568, 711, 2312, 543, 3744, 616, 711, 2386, 2436, 14264, 14231, 22132, 689, 519, 13285, 610, 25853, 5160, 269, 9253, 534, 5448, 666, 2049, 16382, 14264, 14231, 616, 1459, 630, 18034, 538, 519, 2960, 610, 3750, 1040, 9253, 534, 5448, 2356, 10953, 689, 513, 22480, 683, 341, 639, 593, 519, 2960, 269, 6884, 267, 27441, 666, 1256, 22132, 689, 4625, 2635, 2960, 269, 9253, 534, 5448, 568, 711, 4448, 609, 519, 824, 2010, 540, 11871, 563, 257, 16485, 513, 16362, 257, 2055, 616, 12943, 676, 14468, 13500, 543, 824, 2564, 4648, 563, 2690, 811, 1344, 827, 4966, 10283, 538, 519, 834, 16485, 513, 16362, 257, 8416, 267, 5225, 3643, 938, 454, 4364, 673, 4966, 2985, 563, 2791, 949, 849, 3643, 938, 16164, 9435, 2073, 585, 15645, 730, 3461, 547, 3461, 1489, 543, 1344, 563, 763, 1344, 3177, 593, 552, 10890, 17072, 568, 2966, 547, 2087, 267, 711, 5372, 267, 519, 2078, 1063, 513, 3461, 543, 1010, 17017, 1378, 10629, 563, 23114, 15360, 4433, 264, 609, 513, 11727, 2564, 3318, 568, 519, 1697, 1797, 585, 23235, 1022, 2564, 2783, 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 ]
[ 0, 295, 1515, 2530, 568, 513, 1455, 1966, 585, 1004, 19951, 269, 1809, 713, 1966, 3587, 513, 1966, 950, 1007, 4552, 13515, 3395, 269, 5221, 1007, 4552, 5170, 547, 1332, 538, 8167, 547, 4552, 2530, 269, 5221, 540, 799, 519, 1297, 540, 24827, 593, 519, 2212, 1281, 711, 2408, 1507, 269, 1809, 952, 519, 4552, 593, 519, 2212, 568, 3478, 10156, 543, 1007, 4552, 568, 711, 3395, 269, 1924, 621, 568, 1271, 547, 2628, 3007, 547, 707, 2732, 607, 1134, 607, 782, 5686, 540, 1095, 18587, 269, 5221, 4552, 2530, 5170, 11179, 1813, 547, 513, 3668, 540, 1697, 6484, 538, 519, 1560, 269, 12192, 661, 267, 13058, 616, 782, 1360, 1271, 585, 4552, 1072, 269, 1924, 1577, 781, 917, 1018, 2186, 540, 2732, 596, 1058, 1491, 547, 1832, 707, 4552, 5394, 543, 2178, 563, 16605, 811, 3940, 538, 519, 1426, 269, 19871, 568, 1164, 538, 4552, 5250, 269, 2334, 568, 1946, 267, 609, 519, 948, 540, 519, 1318, 1426, 267, 596, 1058, 1331, 811, 543, 811, 3940, 563, 6826, 2386, 547, 3548, 1919, 609, 15060, 476, 274, 9761, 7408, 269, 14856, 621, 4679, 1312, 519, 19542, 543, 7509, 540, 519, 4552, 269, 29283, 540, 15060, 476, 274, 9761, 3679, 3688, 899, 29704, 267, 666, 7637, 3282, 267, 30485, 5452, 267, 543, 669, 807, 5452, 786, 581, 6225, 563, 24791, 589, 6981, 666, 581, 6225, 547, 2061, 4552, 2887, 269, 5221, 621, 13515, 519, 1184, 540, 30034, 4552, 269, 2961, 12783, 267, 14274, 267, 5798, 267, 607, 1134, 607, 5144, 267, 10683, 2472, 666, 581, 10057, 607, 2959, 540, 6171, 589, 563, 1103, 6984, 13058, 538, 1426, 666, 849, 581, 6225, 547, 2087, 4552, 1072, 269, 590, 525, 877, 5452, 267, 4212, 1927, 609, 6121, 267, 30288, 267, 890, 320, 267, 10800, 701, 320, 267, 543, 1482, 13058, 616, 1434, 2959, 269, 26451, 782, 891, 1919, 538, 707, 2732, 666, 2569, 519, 1966, 540, 4552, 2530, 269, 0, 17484, 11139, 2249, 519, 1101, 547, 581, 4535, 538, 24811, 538, 1079, 1296, 454, 27288, 5158, 26335, 5800, 19958, 7143, 3699, 519, 2487, 11944, 540, 606, 13155, 10067, 690, 1415, 3794, 3187, 3675, 5674, 607, 1776, 1967, 538, 741, 5726, 3646, 547, 4688, 519, 1502, 636, 2249, 563, 763, 32620, 1840, 547, 519, 7320, 6288, 7153, 713, 3018, 1818, 621, 519, 1101, 540, 922, 2249, 547, 581, 4535, 538, 24811, 538, 1079, 1296, 563, 29820, 2038, 5437, 519, 3675, 5674, 568, 8250, 547, 17055, 26335, 15552, 3600, 29716, 267, 945, 729, 4535, 693, 13812, 26335, 2185, 1296, 3516, 543, 729, 519, 2063, 3811, 3675, 5674, 4535, 3842, 741, 9960, 1982, 563, 2005, 568, 6059, 602, 972, 616, 1152, 476, 5611, 271, 6967, 538, 519, 3552, 1310, 519, 2249, 968, 8873, 539, 689, 14486, 892, 538, 476, 2735, 280, 267, 609, 1100, 2594, 540, 519, 2249, 1373, 8289, 539, 585, 936, 513, 2540, 563, 27288, 5158, 15440, 15887, 324, 17433, 22118, 577, 1767, 621, 729, 4105, 547, 2226, 513, 2635, 27604, 2551, 540, 713, 17866, 543, 13155, 2249, 563, 28490, 649, 666, 9742, 891, 2249, 6707, 267, 972, 1287, 6013, 4126, 602, 693, 930, 942, 538, 519, 2104, 789, 949, 581, 2111, 547, 581, 5950, 1394, 856, 883, 519, 3552, 543, 938, 5726, 3646, 666, 723, 5021, 1764, 3034, 300, 636, 543, 4816, 616, 24428, 538, 519, 6288, 779, 3143, 24856, 26335, 267, 799, 3096, 513, 9258, 4783, 8654, 9744, 547, 17932, 3781, 543, 1554, 267, 16287, 1018, 949, 581, 519, 1101, 942, 538, 27604, 7320, 1686, 602, 713, 2249, 814, 1044, 26870, 538, 713, 1826, 540, 9744, 563, 2108, 17954, 5338, 13155, 2249, 538, 27604, 5054, 568, 5393, 1271, 547, 2226, 14323, 11976, 267, 607, 519, 2338, 540, 891, 2831, 723, 21022, 547, 971, 513, 4110, 602, 789, 949, 14897, 11014, 1510, 6304, 2223, 1767, 11427, 22118, 577, 563, 8138, 2466, 513, 4484, 547, 519, 9375, 1934, 563, 265, 22419, 616, 9415, 547, 946, 741, 2407, 3877, 547, 2327, 4484, 26117, 563, 306, 754, 3377, 4388, 543, 7044, 1934, 454, 265, 22227, 616, 519, 8369, 540, 3988, 543, 798, 711, 2099, 519, 5784, 540, 5240, 1636, 267, 922, 5234, 610, 28930, 919, 269, 24153, 8292, 593, 5240, 1636, 616, 15645, 730, 1354, 8313, 547, 3895, 3407, 267, 3540, 267, 543, 2635, 2146, 7521, 269, 16731, 938, 6085, 4808, 952, 707, 6085, 814, 711, 1044, 9516, 585, 8313, 269, 0, 4692, 6598, 24366, 24110, 476, 272, 268, 273, 454, 4692, 6598, 24366, 267, 9344, 476, 272, 268, 273, 568, 14095, 609, 4712, 3562, 14025, 1344, 543, 3211, 602, 3382, 1312, 1514, 2090, 543, 1893, 6575, 6437, 563, 2467, 616, 476, 279, 6810, 609, 476, 273, 2542, 2238, 630, 12279, 543, 1875, 27395, 264, 543, 476, 272, 1603, 2534, 829, 3446, 538, 1142, 563, 10376, 3184, 814, 1883, 1514, 2090, 267, 7924, 267, 543, 15007, 1445, 267, 543, 519, 7924, 1983, 616, 7396, 693, 519, 5377, 540, 1142, 4976, 563, 9827, 3177, 616, 2542, 543, 1514, 2090, 10526, 267, 543, 476, 273, 6299, 7879, 585, 2653, 16287, 269, 9752, 4388, 267, 10137, 2238, 267, 543, 2347, 2626, 1883, 3769, 563, 268, 8791, 476, 272, 281, 7731, 32018, 1299, 13786, 4850, 282, 7991, 19928, 1903, 454, 268, 8791, 476, 273, 281, 16390, 282, 9177, 454, 268, 8791, 476, 274, 281, 23089, 1299, 15638, 282, 26492, 454, 268, 8791, 476, 275, 281, 5020, 18963, 282, 7731, 3778, 454, 268, 8791, 476, 276, 281, 7991, 29844, 282, 18831, 454, 268, 8791, 476, 277, 281, 15822, 23089, 282, 19715, 1299, 8693, 454, 268, 8791, 476, 278, 281, 22868, 1299, 16811, 282, 5253, 1299, 1849, 5847, 454, 268, 8791, 476, 279, 281, 13488, 282, 18815, 1299, 17125, 614, 454, 3199, 3817, 1519, 606, 2626, 1883, 563, 268, 8191, 2433, 4563, 14315, 267, 7812, 0, 763, 4993, 3557, 14924, 8189, 814, 606, 4316, 547, 2149, 476, 280, 14143, 540, 1930, 2230, 543, 6542, 875, 2470, 2861, 2994, 666, 3927, 2232, 2916, 1689, 269, 634, 10243, 786, 6430, 519, 12556, 540, 513, 26862, 7345, 12506, 1612, 4897, 538, 8738, 1782, 877, 267, 1175, 5045, 540, 5842, 12770, 4139, 23076, 269, 932, 20149, 609, 5883, 1533, 20352, 3338, 585, 519, 1857, 1719, 593, 1612, 26118, 11658, 1996, 8027, 267, 519, 10243, 814, 835, 2312, 3903, 585, 519, 1655, 946, 540, 713, 3959, 281, 1118, 621, 513, 2470, 2861, 6288, 585, 1857, 18399, 563, 763, 4960, 547, 2149, 713, 20105, 540, 519, 5842, 12770, 7345, 779, 32132, 543, 1711, 513, 1857, 6288, 538, 519, 1164, 1790, 878, 539, 7345, 9351, 568, 513, 2899, 2987, 8584, 2000, 604, 8135, 4316, 269, 1879, 519, 10243, 5342, 922, 5398, 11565, 20126, 10495, 538, 4728, 476, 1001, 279, 267, 606, 11566, 476, 9834, 2600, 540, 1857, 8292, 6829, 1489, 585, 968, 10139, 633, 16351, 3096, 892, 899, 513, 6237, 6288, 593, 713, 2244, 269, 589, 2470, 2861, 6288, 2059, 519, 7345, 568, 5812, 609, 1533, 543, 2199, 3609, 3853, 267, 1519, 6043, 547, 2916, 1689, 543, 5885, 1007, 7320, 9249, 269, 898, 786, 849, 1683, 513, 4686, 4062, 540, 1930, 2230, 538, 713, 4683, 1858, 563, 288, 1857, 17376, 10675, 11450, 814, 15527, 547, 713, 4316, 609, 513, 20019, 14323, 11556, 547, 1628, 513, 2470, 2861, 6288, 269, 8738, 1782, 877, 1744, 648, 1467, 5244, 786, 1711, 513, 2631, 540, 1747, 2059, 519, 1216, 12506, 585, 18883, 267, 2146, 11018, 543, 2069, 1644, 547, 5065, 2371, 543, 7320, 602, 786, 1402, 3634, 519, 2244, 269, 898, 9727, 875, 2067, 2934, 666, 581, 1031, 547, 8396, 4262, 1377, 4473, 538, 606, 1858, 602, 568, 7925, 547, 1713, 2804, 9271, 1813, 547, 2916, 1689, 2443, 543, 519, 1374, 814, 519, 2702, 547, 9148, 2104, 9542, 2994, 269, 634, 6288, 786, 581, 30396, 9112, 543, 9738, 1210, 1858, 17888, 13848, 267, 865, 938, 2199, 13781, 17993, 269, 5047, 267, 4540, 1857, 9886, 7482, 543, 1713, 4357, 7418, 1118, 2679, 543, 4509, 519, 6288, 1942, 16250, 23018, 585, 1857, 8041, 563, 763, 2640, 540, 4509, 1930, 2230, 1369, 4683, 2127, 616, 1134, 3964, 269, 8738, 1782, 877, 1744, 648, 1467, 5244, 786, 2285, 7264, 267, 8436, 543, 519, 4478, 13781, 513, 1747, 547, 556, 6618, 609, 2470, 267, 543, 3885, 513, 1747, 585, 1453, 547, 1404, 543, 2972, 7320, 269, 6489, 31162, 325, 619, 267, 737, 2572, 584, 325, 619, 543, 31614, 5474, 786, 2972, 2922, 32132, 1569, 547, 519, 5842, 12770, 7345, 1317, 713, 6288, 8591, 513, 6843, 547, 519, 7345, 4826, 20417, 269, 898, 786, 849, 2087, 513, 3296, 540, 519, 5842, 12770, 7345, 20417, 267, 799, 786, 835, 1554, 1683, 513, 476, 4335, 28902, 6972, 543, 15203, 2619, 1472, 519, 3003, 7345, 269, 1715, 13009, 4296, 786, 1118, 31610, 543, 6972, 547, 960, 267, 2836, 30221, 543, 25708, 10930, 543, 811, 3015, 563, 5278, 723, 1572, 585, 1776, 15678, 593, 713, 3959, 3079, 540, 513, 2470, 6288, 269, 8750, 3512, 958, 267, 1533, 2244, 1058, 4225, 1857, 946, 267, 711, 4357, 5010, 13055, 269, 1703, 616, 2907, 476, 1321, 8738, 1782, 877, 20730, 609, 5176, 476, 275, 267, 1822, 11623, 538, 519, 7525, 1858, 269, 5244, 2244, 568, 513, 2539, 16151, 10697, 547, 9718, 689, 8375, 1216, 2157, 267, 543, 8738, 1782, 877, 1744, 648, 1467, 5244, 1223, 948, 10110, 4430, 1216, 1282, 4049, 4764, 28323, 543, 23864, 8928, 2443, 2417, 7863, 6196, 645, 904, 327, 648, 23681, 267, 15231, 3601, 543, 938, 1726, 25979, 7345, 20417, 563, 2026, 4872, 2429, 938, 3148, 6385, 1628, 3606, 8027, 547, 2743, 519, 1699, 991, 267, 649, 1590, 849, 1039, 7850, 11614, 543, 1930, 2230, 547, 3666, 519, 2799, 5860, 269, 8307, 476, 272, 2600, 540, 519, 645, 904, 728, 2244, 538, 713, 3148, 3788, 1930, 2230, 269, 6145, 1082, 824, 4993, 4872, 3257, 519, 1318, 3364, 267, 8738, 1782, 877, 568, 21365, 519, 8027, 6433, 676, 8383, 908, 1713, 1007, 8027, 4070, 269, 769, 3257, 865, 267, 2705, 267, 519, 1480, 991, 585, 1930, 2230, 3587, 1256, 811, 1271, 269, 901, 2250, 5130, 267, 938, 4975, 7027, 9516, 513, 4937, 4643, 602, 26195, 2888, 476, 2537, 260, 2551, 2208, 2282, 7841, 10473, 676, 476, 14225, 271, 269, 4014, 649, 4076, 3144, 3268, 547, 1524, 22271, 821, 13980, 540, 938, 7345, 12506, 4853, 3096, 543, 1256, 1698, 5010, 6989, 268, 19327, 268, 7806, 3930, 1141, 9039, 5892, 11478, 267, 1713, 5604, 543, 15678, 1646, 568, 25093, 269, 10738, 1175, 513, 10116, 13304, 540, 713, 1612, 4897, 267, 9365, 779, 744, 1529, 639, 5691, 4641, 6498, 786, 882, 11229, 689, 9093, 5979, 5244, 883, 476, 278, 6858, 267, 1822, 4009, 3952, 540, 1007, 5604, 2230, 1985, 1032, 269, 8738, 1782, 877, 1744, 648, 1467, 5244, 10742, 606, 1271, 2146, 991, 585, 1930, 2230, 563, 763, 7662, 585, 1788, 18747, 32195, 593, 5147, 476, 2918, 269, 769, 519, 3275, 6619, 267, 519, 3557, 14924, 8189, 786, 2253, 922, 1857, 3375, 6194, 1184, 269, 3767, 568, 519, 942, 547, 12167, 563, 5591, 824, 6069, 946, 585, 713, 3959, 2488, 519, 3872, 267, 1857, 1569, 267, 18883, 543, 2825, 2640, 602, 8738, 1782, 877, 1744, 648, 1467, 5244, 2488, 269, 769, 606, 1858, 1141, 2244, 568, 865, 3908, 267, 519, 2640, 540, 513, 2470, 2861, 6288, 616, 967, 529, 1584, 762, 269, 901, 1612, 4897, 568, 23679, 14018, 585, 6288, 1633, 1317, 621, 568, 11262, 676, 519, 1857, 267, 11658, 1996, 8027, 267, 543, 4092, 593, 938, 4190, 7345, 269, 8738, 1782, 877, 1744, 648, 1467, 5244, 4564, 519, 5207, 543, 1655, 946, 585, 713, 4686, 1930, 2230, 538, 606, 5051, 10053, 3148, 563, 10387, 1176, 16047, 568, 13030, 25650, 540, 519, 4975, 540, 8738, 1782, 877, 269, 0, 268, 1548, 4523, 950, 513, 9797, 9901, 1843, 18953, 513, 11874, 9901, 1843, 888, 268, 1548, 616, 476, 274, 2081, 606, 1843, 666, 581, 9901, 888, 268, 1215, 798, 596, 5279, 606, 1843, 888, 268, 3657, 3425, 9797, 610, 11874, 9901, 888, 268, 1548, 4523, 950, 513, 11874, 9901, 1843, 18953, 513, 9243, 1843, 888, 268, 1548, 616, 519, 1079, 2010, 540, 12123, 2409, 888, 268, 1548, 568, 519, 1184, 540, 12123, 606, 1843, 1510, 15700, 621, 888, 268, 1215, 666, 10997, 581, 11843, 888, 268, 1215, 1281, 606, 1843, 1831, 9797, 610, 11874, 9901, 888, 268, 1548, 1281, 621, 1611, 952, 606, 1843, 19299, 513, 2318, 5279, 888, 268, 1548, 3123, 12123, 540, 606, 1843, 888, 268, 1215, 798, 596, 5279, 606, 1843, 2493, 1227, 888, 268, 1548, 4523, 547, 519, 5279, 4503, 676, 606, 1843, 888, 268, 1772, 5068, 9797, 610, 11874, 9901 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1004, 798, 711, 21028, 4568, 607, 513, 3075, 610, 949, 711, 1174, 875, 621, 25998, 609, 824, 5061, 267, 1519, 31534, 563, 19102, 2084, 519, 1377, 540, 1620, 540, 14453, 5061, 666, 581, 6225, 585, 2043, 267, 3885, 267, 543, 519, 2898, 2146, 563, 7617, 3077, 5304, 1058, 14997, 11914, 24391, 543, 2659, 7991, 2238, 1445, 593, 888, 27039, 593, 519, 2115, 540, 513, 1808, 2146, 267, 3292, 1223, 1445, 593, 912, 268, 14780, 2358, 4656, 538, 519, 2898, 2146, 454, 268, 21278, 1344, 4481, 547, 840, 543, 2022, 1606, 29864, 2550, 267, 610, 1346, 7092, 689, 2175, 899, 4160, 267, 2566, 267, 20026, 543, 5312, 1928, 454, 268, 25417, 3237, 547, 1909, 21524, 601, 2318, 6646, 946, 543, 8925, 547, 6646, 609, 741, 1762, 1453, 454, 268, 11554, 609, 23242, 15731, 610, 28737, 547, 13599, 267, 3895, 1072, 543, 8171, 267, 543, 2327, 972, 568, 513, 4143, 3609, 538, 1747, 454, 268, 3447, 908, 4587, 1004, 630, 5408, 519, 15850, 267, 4033, 24391, 543, 24771, 4658, 32367, 994, 268, 11554, 609, 3119, 1072, 1416, 7426, 547, 3895, 543, 1711, 11444, 547, 4244, 543, 14911, 1928, 2359, 11257, 454, 268, 1975, 15105, 4656, 827, 2126, 11444, 585, 1004, 945, 949, 581, 8200, 563, 1692, 798, 14997, 11914, 24391, 543, 2659, 7991, 2238, 948, 547, 2061, 4568, 543, 3075, 5829, 2152, 888, 6624, 26880, 949, 3494, 31534, 616, 2922, 1317, 789, 616, 3656, 5061, 267, 543, 602, 2564, 5583, 666, 581, 4553, 29101, 269, 1717, 267, 621, 568, 14453, 5061, 267, 711, 10363, 5061, 267, 602, 616, 519, 1034, 2693, 547, 581, 3238, 538, 513, 3075, 13251, 2669, 538, 5245, 269, 275, 454, 763, 1875, 25535, 8282, 946, 540, 14453, 6527, 666, 1331, 912, 268, 14171, 811, 982, 814, 1044, 11311, 454, 268, 14171, 6646, 538, 513, 1114, 1259, 982, 814, 1044, 11311, 454, 268, 26157, 6646, 609, 824, 5061, 971, 607, 4568, 454, 268, 19457, 1095, 18587, 609, 2828, 610, 1920, 563, 15239, 25535, 8282, 946, 540, 6646, 666, 581, 20982, 1107, 971, 607, 950, 1004, 1491, 513, 14453, 3075, 585, 513, 552, 25045, 7595, 610, 824, 28400, 5562, 1198, 563, 13828, 23776, 1928, 26973, 619, 543, 22904, 17377, 32581, 1149, 616, 3622, 1152, 5227, 585, 2110, 3856, 946, 267, 855, 789, 616, 1373, 1031, 676, 1082, 26880, 936, 3476, 5712, 540, 942, 563, 2005, 779, 4105, 602, 26880, 723, 513, 2312, 1620, 540, 519, 4220, 543, 2640, 540, 1210, 891, 22925, 6527, 269, 4658, 991, 547, 581, 6462, 547, 3970, 741, 946, 267, 1519, 998, 1569, 547, 4244, 543, 14911, 11257, 607, 851, 540, 741, 1928, 2359, 4640, 563, 21982, 2962, 593, 14997, 11914, 24391, 666, 948, 676, 2810, 912, 268, 17607, 827, 519, 1761, 28746, 540, 930, 14453, 5061, 454, 268, 4197, 1875, 25535, 8282, 946, 454, 268, 9977, 779, 6015, 547, 1909, 21524, 601, 2318, 7180, 1472, 6646, 946, 547, 741, 3214, 454, 268, 11310, 827, 14911, 543, 4244, 11257, 454, 268, 19662, 585, 2146, 2818, 547, 1451, 1928, 2359, 2994, 267, 610, 2553, 971, 607, 9066, 267, 11005, 267, 543, 11009, 563, 1692, 2500, 568, 519, 14997, 11914, 24391, 543, 2659, 7991, 2534, 888, 1805, 21880, 28517, 519, 2146, 779, 1702, 593, 519, 4220, 543, 2640, 540, 14453, 5061, 267, 1519, 4244, 543, 14911, 11257, 267, 666, 581, 606, 2500, 1259, 547, 2087, 513, 2039, 540, 1072, 4093, 2146, 17253, 563, 306, 22066, 6604, 11044, 543, 3292, 723, 3254, 602, 513, 3102, 1935, 1210, 2789, 2994, 5012, 547, 519, 6574, 1689, 563, 1607, 1223, 1611, 9256, 513, 2039, 540, 2238, 267, 971, 607, 513, 3376, 2146, 4656, 5859, 543, 5924, 513, 6098, 1344, 5859, 585, 1164, 16151, 22097, 267, 607, 1134, 607, 2146, 11925, 602, 2333, 1702, 827, 543, 1983, 538, 4244, 11257, 971, 607, 11005, 543, 11009, 267, 610, 2635, 19824, 1519, 2732, 543, 3635, 269, 0, 4692, 513, 2635, 2732, 10804, 707, 14438, 286, 4340, 547, 2487, 1382, 267, 713, 568, 1034, 2693, 519, 2013, 269, 1284, 4076, 1634, 585, 1296, 602, 11326, 1164, 538, 2635, 9600, 630, 3697, 14462, 3282, 543, 10808, 1070, 8324, 267, 6886, 267, 543, 14434, 630, 5228, 3536, 899, 5388, 267, 5613, 267, 543, 11922, 23599, 264, 6923, 10804, 1272, 269, 901, 568, 519, 1482, 1826, 540, 2732, 1336, 538, 1004, 2713, 538, 519, 968, 19990, 10851, 5608, 945, 616, 1034, 2693, 547, 2661, 936, 476, 1911, 1296, 563, 1692, 1082, 1296, 666, 2635, 4189, 1039, 547, 707, 1272, 888, 288, 2487, 1353, 3370, 538, 12813, 5308, 6925, 543, 5342, 676, 21785, 3173, 6743, 693, 8192, 1689, 547, 8831, 14438, 269, 634, 1353, 1336, 602, 513, 8770, 1673, 1619, 2732, 267, 2147, 547, 519, 968, 8469, 10882, 2732, 892, 610, 519, 9791, 18630, 2732, 267, 1223, 8831, 1272, 676, 476, 279, 547, 476, 1724, 1296, 267, 4470, 593, 2085, 563, 763, 4681, 616, 1759, 593, 513, 2203, 519, 3173, 2813, 1210, 1239, 689, 519, 6820, 645, 6324, 523, 540, 8376, 5530, 267, 799, 3769, 5215, 540, 5171, 689, 476, 14225, 2477, 269, 634, 1353, 779, 2203, 729, 1031, 547, 7447, 1018, 1131, 4755, 547, 513, 1268, 779, 1560, 543, 14438, 952, 789, 23564, 689, 513, 3810, 9268, 968, 20598, 5375, 2732, 892, 547, 513, 8902, 2732, 602, 5059, 593, 2898, 3536, 563, 763, 2010, 540, 8192, 2242, 602, 941, 1336, 547, 723, 519, 6574, 1764, 593, 15325, 3769, 13302, 4616, 540, 2699, 5779, 267, 16600, 3491, 947, 539, 3536, 267, 543, 24494, 3536, 267, 538, 3870, 540, 4189, 811, 5388, 267, 5613, 267, 22053, 267, 2898, 9274, 267, 3165, 543, 10808, 563, 2080, 616, 930, 1883, 4681, 827, 11326, 602, 8831, 1004, 779, 2729, 267, 2687, 547, 519, 1353, 2164, 912, 1700, 634, 4505, 513, 1268, 3792, 1206, 513, 2635, 2732, 267, 519, 1732, 269, 1280, 1383, 267, 952, 513, 4807, 3459, 547, 1246, 606, 968, 9953, 2711, 892, 8770, 1673, 1619, 2732, 1472, 2085, 476, 736, 267, 1352, 1223, 5732, 1039, 827, 476, 1015, 1296, 547, 1200, 1272, 563, 1700, 9093, 3100, 547, 4324, 1256, 811, 689, 4758, 909, 22938, 1426, 543, 4189, 1732, 269, 634, 1353, 1336, 602, 952, 513, 812, 3323, 4189, 5688, 958, 693, 2085, 476, 736, 267, 646, 1223, 1039, 1472, 476, 1724, 1296, 547, 1010, 14438, 563, 1700, 1403, 1762, 4079, 17696, 1732, 267, 855, 711, 5688, 958, 267, 789, 1223, 1869, 2661, 827, 3670, 547, 5722, 1296, 3476, 563, 1700, 4014, 621, 568, 4998, 547, 723, 513, 7059, 543, 796, 15263, 539, 2732, 2429, 707, 1272, 267, 621, 568, 2760, 1932, 3735, 547, 1376, 269, 634, 1353, 2164, 2303, 602, 1256, 952, 4587, 4079, 1705, 711, 1376, 1739, 513, 11335, 2732, 2394, 1472, 2085, 476, 2568, 267, 789, 1223, 1869, 2333, 741, 1272, 19104, 676, 5216, 547, 8370, 1296, 563, 1700, 4634, 1004, 538, 741, 476, 3199, 338, 945, 3323, 4189, 1447, 5779, 543, 811, 2030, 3940, 543, 824, 14312, 3536, 1223, 4324, 689, 606, 2333, 538, 1272, 19104, 540, 811, 982, 1614, 1296, 563, 1432, 621, 1797, 454, 8253, 1152, 666, 513, 8902, 2732, 3895, 15325, 267, 621, 666, 849, 2087, 519, 2298, 540, 707, 1272, 676, 4227, 519, 1981, 540, 5312, 3676, 267, 971, 607, 2295, 2068, 267, 8377, 267, 2860, 267, 3987, 543, 12110, 269, 1403, 596, 2461, 4867, 1739, 513, 3044, 7262, 2732, 267, 8458, 616, 707, 2732, 3884, 1406, 6099, 543, 596, 666, 6488, 547, 1118, 930, 2242, 563, 288, 6405, 1383, 281, 1152, 827, 476, 1015, 260, 540, 5375, 4079, 8532, 519, 5227, 3232, 2179, 540, 4195, 5613, 543, 5388, 630, 18314, 547, 1614, 32122, 540, 1142, 1916, 7212, 10365, 270, 5586, 6979, 616, 3810, 5227, 1813, 547, 741, 2640, 585, 8937, 1072, 267, 2295, 1072, 543, 2597, 2359, 267, 1082, 1004, 798, 711, 8532, 1022, 1826, 540, 21167, 593, 513, 2834, 4493, 269, 6271, 1966, 568, 602, 476, 4817, 260, 540, 5375, 619, 3111, 547, 2743, 519, 3804, 540, 4189, 2614, 2898, 9274, 8957, 15568, 9274, 269, 898, 568, 5227, 602, 693, 2547, 3368, 540, 707, 23611, 581, 476, 1911, 260, 2898, 10286, 267, 799, 568, 2362, 538, 6775, 543, 824, 1898, 5567, 563, 9288, 520, 4616, 538, 5375, 2477, 568, 1776, 1966, 563, 15575, 1845, 609, 519, 5207, 3044, 540, 2713, 4043, 547, 8532, 519, 1034, 5779, 267, 855, 4189, 513, 2603, 540, 5779, 630, 18034, 2699, 5779, 543, 9268, 5779, 264, 568, 5532, 547, 1072, 2042, 971, 607, 1826, 476, 272, 3987, 269, 476, 273, 267, 18337, 2295, 2068, 267, 8482, 267, 543, 1978, 11871, 267, 1519, 897, 28030, 2860, 563, 19522, 585, 513, 15325, 2732, 454, 1432, 1058, 594, 3548, 547, 10804, 1250, 1272, 286, 1403, 596, 1616, 547, 1039, 5216, 547, 12964, 1296, 547, 707, 1272, 267, 1246, 513, 15866, 11335, 30816, 2732, 269, 634, 19692, 596, 798, 713, 267, 519, 1732, 585, 707, 1072, 267, 1519, 538, 2025, 2085, 563, 2080, 616, 930, 4388, 585, 4189, 538, 513, 1259, 602, 786, 8831, 707, 14438, 912, 1700, 2422, 1434, 2298, 14462, 3282, 607, 707, 1292, 5986, 3282, 267, 538, 1840, 547, 4189, 522, 1176, 3165, 267, 10808, 543, 5452, 269, 23423, 15568, 10448, 11041, 267, 1034, 855, 1562, 543, 5768, 25978, 269, 3680, 3536, 5627, 7250, 730, 543, 1098, 9600, 563, 1700, 19130, 909, 593, 3536, 1164, 538, 14434, 267, 971, 607, 4195, 5388, 267, 21364, 16719, 267, 18717, 267, 19637, 267, 13342, 267, 15708, 267, 11922, 543, 14546, 563, 1700, 3117, 2541, 7899, 540, 20249, 267, 2523, 538, 5388, 267, 5613, 267, 476, 1911, 260, 2898, 9274, 267, 22053, 543, 10808, 563, 1700, 23423, 707, 6981, 540, 2699, 5779, 543, 9268, 16469, 267, 2523, 6671, 14132, 267, 3905, 5243, 267, 2892, 9564, 267, 23174, 16469, 543, 1642, 328, 16469, 563, 1700, 5410, 811, 2030, 2861, 5946, 547, 707, 6980, 267, 971, 607, 22053, 630, 701, 553, 267, 7105, 701, 553, 543, 21378, 2812, 1070, 2898, 9274, 630, 638, 29184, 267, 28113, 543, 11369, 342, 17742, 1070, 10808, 543, 5452, 630, 19789, 22756, 267, 30646, 267, 890, 322, 753, 267, 30011, 5452, 543, 22481, 267, 16537, 778, 3930, 1916, 1700, 3680, 3536, 609, 3773, 4006, 267, 971, 607, 28916, 267, 24799, 267, 24494, 10683, 2472, 543, 7091, 553, 269, 5502, 267, 3548, 4829, 267, 513, 2370, 6151, 9932, 610, 4158, 10217, 547, 14183, 707, 6653, 5694, 563, 1700, 3117, 2541, 10683, 2472, 538, 20208, 267, 2523, 952, 789, 2014, 596, 9667, 2042, 269, 8838, 585, 5667, 11548, 2989, 15446, 584, 1206, 543, 1183, 325, 597, 267, 607, 1134, 607, 9907, 29380, 525, 538, 1507, 10627, 2583, 267, 547, 1205, 519, 1034, 2640, 563, 15307, 26305, 1764, 540, 1426, 5079, 593, 1272, 19104, 281, 589, 9781, 1353, 0, 298, 1329, 6614, 10202, 16738, 8105, 568, 513, 1826, 540, 1507, 8397, 9269, 556, 2130, 538, 15057, 602, 6212, 593, 1210, 2199, 14981, 543, 2757, 2409, 547, 6318, 17944, 585, 1312, 5779, 543, 4212, 2504, 269, 634, 2165, 968, 298, 1329, 6614, 10202, 892, 568, 513, 4210, 1695, 8270, 2262, 602, 1797, 968, 29985, 892, 610, 968, 785, 4246, 9731, 1103, 918, 1329, 6614, 10202, 16738, 8105, 267, 519, 1739, 3268, 616, 4122, 4553, 912, 268, 6601, 539, 5542, 281, 7994, 6805, 9269, 14981, 971, 607, 519, 15057, 4400, 16816, 3363, 610, 519, 4824, 918, 1329, 6614, 10202, 14981, 602, 616, 1134, 9862, 547, 519, 2199, 1604, 543, 616, 3810, 11259, 547, 3676, 563, 268, 24184, 281, 12706, 2241, 543, 1970, 21057, 9269, 1071, 3591, 610, 1683, 1561, 14876, 8027, 971, 607, 513, 535, 10642, 1858, 896, 513, 3529, 563, 268, 30839, 281, 3629, 513, 7059, 2732, 540, 10051, 3653, 267, 7786, 267, 543, 3039, 10664, 547, 7110, 5010, 20555, 563, 268, 2657, 2359, 281, 25956, 15324, 3800, 971, 607, 2834, 632, 11988, 532, 543, 12674, 547, 1832, 519, 17944, 2635, 563, 268, 16373, 281, 590, 749, 519, 5798, 543, 5779, 538, 2199, 6990, 610, 2047, 547, 5561, 563, 763, 2640, 540, 918, 1329, 6614, 10202, 16738, 8105, 1331, 4389, 3790, 267, 2799, 1426, 3354, 267, 543, 519, 11091, 540, 2757, 1702, 543, 2199, 14981, 269, 1635, 5009, 918, 1329, 6614, 10202, 16738, 8105, 267, 1507, 8397, 6705, 538, 15057, 666, 2087, 741, 24454, 543, 3565, 547, 519, 2208, 540, 519, 2197, 779, 16738, 2872, 269, 0, 5804, 6196, 2296, 8845, 553, 12462, 15161, 689, 8581, 267, 9721, 5443, 25257, 689, 17623, 5824, 8845, 328, 269, 25334, 4601, 519, 2495, 729, 834, 12827, 1055, 267, 856, 4751, 2580, 1644, 547, 1085, 334, 603, 630, 1729, 2759, 1055, 264, 543, 1085, 334, 924 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1198, 593, 707, 2298, 540, 1272, 563, 2690, 930, 1004, 267, 13465, 949, 1175, 581, 1945, 596, 798, 1310, 960, 610, 593, 519, 15964, 543, 585, 1866, 621, 949, 581, 741, 2407, 6066, 13567, 267, 855, 711, 3025, 568, 3222, 540, 519, 2640, 563, 3383, 1018, 616, 789, 286, 7327, 532, 568, 513, 1390, 1259, 547, 1577, 1055, 9252, 543, 814, 513, 3099, 540, 2168, 267, 5626, 543, 3929, 2360, 593, 519, 1560, 563, 268, 7327, 532, 666, 2569, 2566, 543, 2087, 707, 7099, 269, 3502, 1152, 602, 267, 855, 13465, 568, 1134, 1634, 547, 2087, 707, 6015, 543, 27907, 563, 268, 7327, 532, 666, 723, 513, 2462, 1198, 593, 707, 2168, 2783, 607, 1134, 269, 898, 781, 513, 1390, 1259, 547, 3251, 9308, 3514, 267, 607, 621, 3322, 1210, 707, 9641, 543, 2295, 267, 799, 666, 2087, 707, 7244, 563, 4149, 15781, 2337, 2539, 1973, 2604, 543, 7794, 519, 4761, 1062, 269, 7327, 532, 849, 2337, 538, 519, 1646, 540, 5179, 1852, 543, 11558, 267, 543, 2487, 2090, 723, 3254, 602, 621, 10607, 14715, 8647, 563, 268, 7327, 532, 543, 669, 13589, 616, 1419, 1031, 607, 513, 30973, 1907, 538, 2069, 543, 2866, 3871, 563, 268, 2991, 513, 1434, 5152, 267, 707, 1560, 7472, 1434, 10399, 1572, 1439, 6973, 1231, 267, 799, 19060, 1472, 707, 1560, 547, 1711, 513, 2067, 1164, 269, 898, 568, 4010, 519, 1482, 1198, 950, 596, 3548, 513, 3046, 540, 10217, 269, 634, 1434, 3377, 609, 13465, 568, 602, 596, 1810, 1405, 2744, 8477, 2336, 268, 7327, 532, 666, 849, 2087, 513, 1268, 781, 2631, 540, 11733, 543, 1560, 14302, 563, 268, 1403, 596, 1039, 15472, 547, 713, 267, 519, 1657, 2640, 616, 7494, 2799, 2336, 291, 3496, 666, 849, 3142, 811, 2640, 547, 519, 3349, 267, 971, 607, 4887, 2208, 538, 1978, 2127, 267, 9025, 9283, 267, 543, 1454, 811, 563, 7212, 519, 2168, 1764, 540, 2834, 13465, 568, 711, 1134, 1634, 267, 13465, 607, 606, 2534, 568, 8471, 538, 782, 7239, 267, 543, 519, 17105, 8560, 540, 1781, 15077, 543, 13465, 19194, 538, 2487, 1296, 5267, 602, 519, 2640, 540, 2348, 513, 5152, 693, 2295, 789, 666, 3274, 581, 11368, 883, 938, 20369, 3832, 563, 763, 2168, 2360, 267, 1247, 3833, 10565, 267, 616, 2731, 1175, 519, 4098, 269, 7327, 532, 3123, 8788, 585, 824, 4128, 602, 723, 513, 1447, 6211, 4493, 563, 3383, 979, 6619, 267, 1832, 707, 2247, 543, 1560, 2635, 543, 1376, 13465, 563, 32098, 2813, 543, 13859, 676, 281, 2974, 318, 21158, 630, 16129, 28709, 5240, 12467, 23330, 320, 5240, 568, 513, 1863, 547, 946, 3760, 543, 519, 5784, 543, 8369, 6829, 23954, 616, 9003, 1346, 540, 519, 2278, 543, 798, 711, 2099, 267, 2992, 610, 2769, 519, 5784, 540, 28709, 5240, 269, 7102, 270, 718, 2854, 1543, 543, 2592, 10268, 616, 3177, 676, 519, 5816, 3455, 270, 10461, 267, 2408, 23954, 607, 11643, 676, 519, 5816, 3455, 270, 10461, 543, 616, 796, 539, 1243, 676, 28709, 5240, 269, 28709, 5240, 1281, 711, 9844, 547, 6862, 1281, 621, 7873, 821, 519, 20171, 540, 1022, 1543, 602, 3423, 919, 519, 2924, 630, 10175, 519, 5299, 23412, 264, 540, 1022, 3791, 5428, 267, 6862, 1543, 602, 949, 30279, 267, 954, 620, 807, 267, 1022, 4984, 267, 6803, 1895, 267, 3919, 267, 4008, 267, 2754, 267, 610, 1367, 269, 28709, 5240, 2417, 3467, 1281, 711, 7873, 821, 519, 946, 540, 938, 3760, 585, 519, 5301, 8716, 270, 754, 832, 532, 13842, 4633, 267, 18670, 540, 1480, 2924, 543, 5924, 19039, 1734, 540, 513, 1219, 600, 2218, 2470, 269, 1403, 519, 1543, 8659, 23954, 3423, 919, 1022, 540, 707, 2924, 267, 1519, 1346, 540, 10677, 267, 543, 5924, 3423, 919, 1022, 519, 1657, 5018, 2188, 267, 596, 616, 16761, 547, 5612, 711, 1518, 721, 1210, 3842, 519, 1739, 4757, 2232, 1766, 534, 31974, 7721, 4156, 263, 520, 264, 641, 5028, 2593, 543, 5924, 1867, 519, 2376, 1210, 519, 2139, 8989, 10342, 3710, 883, 938, 25957, 6423, 2859, 0, 763, 25954, 540, 10034, 538, 2342, 1282, 519, 20870, 2540, 666, 581, 11911, 547, 519, 11931, 7771, 540, 32540, 626, 1062, 543, 519, 2208, 538, 3310, 540, 519, 1647, 1362, 538, 519, 1106, 540, 22278, 543, 561, 3581, 269, 634, 22278, 2933, 1185, 1044, 9244, 10353, 547, 2804, 6042, 602, 941, 538, 1747, 693, 519, 942, 799, 11658, 741, 2238, 269, 634, 22278, 267, 9755, 543, 1710, 534, 857, 619, 1131, 2744, 519, 5191, 547, 581, 2111, 547, 27459, 1047, 741, 1378, 6990, 269, 634, 2804, 543, 2797, 22624, 602, 1131, 581, 6591, 676, 891, 2043, 630, 1067, 577, 1218, 543, 13492, 2006, 264, 729, 1271, 585, 519, 25954, 540, 3864, 4683, 2486, 543, 519, 22638, 7771, 540, 10120, 21535, 16117, 630, 303, 659, 7748, 267, 476, 1220, 280, 281, 3393, 1916, 763, 4436, 2749, 540, 700, 4209, 1188, 666, 581, 6956, 607, 606, 1383, 540, 713, 25954, 540, 519, 4683, 2486, 998, 2208, 538, 16450, 543, 4123, 269, 700, 4209, 1188, 1131, 581, 2938, 607, 519, 8998, 540, 519, 4436, 27397, 9467, 1062, 799, 729, 6896, 676, 513, 1895, 540, 10034, 1634, 607, 519, 12390, 572, 1738, 13477, 799, 3769, 700, 2317, 6199, 267, 31297, 267, 15519, 320, 267, 8355, 345, 580, 543, 595, 860, 928, 630, 303, 659, 7748, 267, 476, 1220, 280, 281, 5379, 1040, 769, 538, 922, 2208, 543, 1646, 540, 513, 2834, 4123, 2078, 609, 519, 6739, 2749, 540, 8734, 326, 528, 617, 4547, 609, 621, 606, 25819, 540, 535, 2720, 543, 26216, 2472, 269, 13966, 609, 2472, 971, 607, 6070, 602, 729, 1031, 547, 8190, 5779, 543, 3165, 693, 519, 942, 269, 1452, 2472, 1131, 581, 7856, 2066, 8832, 2342, 543, 1131, 581, 22121, 585, 12308, 543, 824, 3302, 999, 563, 763, 2208, 538, 2804, 5763, 543, 2797, 1379, 602, 729, 6591, 676, 519, 21471, 16918, 1369, 700, 4209, 1188, 1131, 1450, 873, 547, 723, 1379, 547, 1827, 700, 4209, 1188, 543, 824, 4872, 540, 12390, 572, 630, 303, 659, 7748, 267, 476, 1220, 280, 281, 5379, 1040, 634, 2497, 540, 519, 4884, 540, 700, 4209, 1188, 729, 3844, 547, 519, 2956, 4123, 543, 16450, 607, 519, 4884, 1185, 513, 10120, 26720, 543, 20708, 625, 799, 941, 13856, 676, 513, 3844, 19458, 1141, 4123, 610, 15377, 630, 303, 659, 7748, 267, 476, 1220, 280, 281, 5379, 1040, 634, 19458, 1185, 1369, 621, 15945, 609, 1585, 11285, 22278, 543, 13492, 2006, 971, 607, 536, 5474, 267, 24996, 22278, 543, 2766, 832, 269, 1452, 2043, 1131, 2661, 538, 20453, 602, 941, 13883, 1657, 519, 15945, 630, 303, 659, 7748, 267, 476, 1220, 280, 281, 5379, 1040, 634, 4884, 1131, 2226, 513, 2635, 2078, 609, 519, 4478, 1858, 543, 1185, 513, 2147, 2635, 2078, 609, 519, 24781, 5103, 519, 2208, 538, 2956, 540, 16450, 630, 303, 659, 7748, 267, 476, 1220, 280, 281, 5379, 1916, 8469, 8148, 4884, 1131, 723, 606, 27614, 540, 11082, 602, 941, 5275, 2308, 906, 543, 2804, 4316, 547, 2661, 1732, 2729, 269, 22893, 540, 700, 4209, 1188, 1131, 581, 4847, 547, 723, 1978, 22864, 998, 741, 3656, 4567, 799, 729, 1152, 6488, 539, 547, 873, 267, 543, 519, 1482, 22864, 941, 711, 10630, 538, 519, 4884, 540, 8734, 326, 528, 617, 5103, 519, 1967, 540, 519, 1858, 267, 789, 941, 711, 20833, 14628, 630, 303, 659, 7748, 267, 476, 1220, 280, 281, 5379, 1040, 634, 25954, 540, 4683, 1143, 1813, 547, 519, 7771, 540, 21535, 16117, 4547, 1390, 13884, 585, 10120, 10034, 269, 769, 2474, 540, 16450, 543, 4123, 543, 519, 1967, 540, 519, 2043, 538, 1346, 4884, 24458, 602, 789, 6591, 2797, 1379, 602, 1131, 1450, 1978, 2797, 7060, 269, 634, 14637, 540, 3347, 609, 824, 10034, 543, 519, 1604, 5103, 519, 8561, 5116, 593, 2504, 1131, 2327, 2208, 729, 19311, 543, 4264, 585, 513, 2635, 1974, 563, 32098, 2813, 543, 13859, 676, 281, 11536, 6347, 312, 6261, 299, 308, 294, 630, 16129, 28709, 5240, 12467, 23330, 320, 5240, 568, 513, 1863, 547, 946, 3760, 543, 519, 5784, 543, 8369, 6829, 23954, 616, 9003, 1346, 540, 519, 2278, 543, 798, 711, 2099, 267, 2992, 610, 2769, 519, 5784, 540, 28709, 5240, 269, 7102, 270, 718, 2854, 1543, 543, 2592, 10268, 616, 3177, 676, 519, 5816, 3455, 270, 10461, 267, 2408, 23954, 607, 11643, 676, 519, 5816, 3455, 270, 10461, 543, 616, 796, 539, 1243, 676, 28709, 5240, 269, 28709, 5240, 1281, 711, 9844, 547, 6862, 1281, 621, 7873, 821, 519, 20171, 540, 1022, 1543, 602, 3423, 919, 519, 2924, 630, 10175, 519, 5299, 23412, 264, 540, 1022, 3791, 5428, 267, 6862, 1543, 602, 949, 30279, 267, 954, 620, 807, 267, 1022, 4984, 267, 6803, 1895, 267, 3919, 267, 4008, 267, 2754, 267, 610, 1367, 269, 28709, 5240, 2417, 3467, 1281, 711, 7873, 821, 519, 946, 540, 938, 3760, 585, 519, 5301, 8716, 270, 754, 832, 532, 13842, 4633, 267, 18670, 540, 1480, 2924, 543, 5924, 19039, 1734, 540, 513, 1219, 600, 2218, 2470, 269, 1403, 519, 1543, 8659, 23954, 3423, 919, 1022, 540, 707, 2924, 267, 1519, 1346, 540, 10677, 267, 543, 5924, 3423, 919, 1022, 519, 1657, 5018, 2188, 267, 596, 616, 16761, 547, 5612, 711, 1518, 721, 1210, 3842, 519, 1739, 4757, 2232, 1766, 534, 31974, 7721, 4156, 263, 520, 264, 641, 5028, 2593, 543, 5924, 1867, 519, 2376, 1210, 519, 2139, 8989, 10342, 3710, 883, 938, 25957, 6423, 2859, 0, 299, 541, 1778, 267, 590, 10422, 269, 476, 1220, 273, 1496, 1103, 4167, 543, 544, 924, 11641, 11841, 593, 6653, 533, 788, 16394, 630, 22069, 534, 636, 9597, 545, 23628, 589, 527, 4700, 16916, 538, 519, 10001, 16323, 267, 16266, 20426, 5549, 16582, 25556, 632, 5521, 657, 586, 1035, 541, 657, 12735, 553, 679, 533, 788, 3626, 546, 592, 576, 630, 22069, 534, 636, 9597, 545, 23628, 589, 527, 4700, 5252, 5964, 679, 3288, 10001, 16323, 267, 16266, 907, 8968, 3120, 570, 2946, 322, 333, 3821, 269, 16266, 476, 7830, 263, 272, 2567, 476, 1428, 268, 2918, 563, 24687, 281, 3245, 5239, 476, 1960, 276, 547, 4728, 476, 1960, 278, 267, 10860, 941, 6594, 593, 533, 788, 3626, 630, 306, 269, 9597, 545, 23628, 264, 2371, 6738, 538, 16266, 269, 14520, 533, 788, 3626, 13602, 941, 12630, 693, 476, 273, 18881, 11996, 543, 519, 1114, 10860, 602, 1102, 6479, 519, 7031, 941, 16913, 269, 769, 1840, 267, 1035, 541, 15969, 543, 5521, 15969, 941, 11117, 585, 519, 1852, 540, 476, 273, 1606, 13607, 1540, 17178, 21746, 267, 31679, 337, 1415, 577, 639, 2712, 6776, 2801, 267, 543, 803, 3315, 30471, 267, 26263, 659, 11484, 639, 1151, 523, 18462, 267, 6606, 269, 634, 2164, 4951, 476, 2190, 2249, 540, 818, 6605, 16104, 15890, 532, 533, 788, 3626, 2371, 269, 7324, 873, 267, 519, 21746, 267, 3226, 570, 269, 2712, 6776, 2801, 267, 941, 10731, 543, 6603, 2157, 540, 476, 12573, 21746, 829, 6978, 267, 4929, 4049, 1219, 565, 2747, 269, 1975, 2001, 532, 519, 1035, 541, 15969, 267, 2166, 28411, 11294, 543, 993, 527, 23432, 267, 3927, 6417, 519, 23588, 269, 634, 533, 788, 3626, 8038, 267, 10910, 698, 1961, 26385, 562, 13960, 267, 1008, 12097, 9645, 9271, 1282, 1978, 5712, 267, 855, 922, 6574, 2956, 568, 602, 621, 568, 513, 27170, 1441, 11641, 543, 7182, 533, 788, 3626, 18666, 547, 1271, 6990, 269, 4033, 10860, 540, 2804, 4644, 547, 519, 7693, 267, 4171, 2551, 2157, 1590, 581, 16913, 543, 6417, 267, 616, 519, 26615, 6641, 5471, 337, 4593, 1335, 320, 8126, 565, 5362, 267, 519, 3039, 890, 778, 21428, 573, 267, 3733, 345, 639, 1086, 545, 2801, 543, 519, 3037, 803, 3315, 30132, 267, 26263, 659, 11484, 639, 1151, 523, 18462, 269, 634, 803, 3315, 30132, 729, 6417, 676, 30574, 609, 8392, 6853, 17287, 657, 543, 16087, 1993, 584, 534, 269, 0, 6097, 547, 519, 3703, 6109, 1744, 790, 267, 2550, 609, 9864, 610, 2407, 1121, 2153, 540, 4965, 2589, 945, 941, 593, 3119, 24196, 656, 3797, 2443, 543, 1185, 15895, 5042, 15717, 2443, 4951, 1713, 9283, 538, 10324, 1599, 950, 561, 529, 1372, 343, 600, 325, 564, 8533, 546, 1307, 2643, 622, 630, 309, 344, 7079, 572, 264, 729, 3773, 547, 741, 3232, 2126, 563, 3674, 966, 344, 7079, 572, 589, 24196, 656, 888, 309, 344, 7079, 572, 568, 513, 6646, 602, 7189, 21559, 547, 1521, 3007, 17211, 30759, 4524, 610, 28675, 4189, 4524, 269, 898, 568, 513, 8102, 656, 267, 799, 2337, 513, 1268, 547, 13404, 269, 5221, 966, 344, 7079, 572, 568, 513, 8102, 656, 267, 513, 1268 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9542, 2994, 267, 1247, 849, 519, 811, 24654, 18232, 2551, 1058, 581, 1500, 3222, 547, 3068, 513, 2362, 1981, 540, 14700, 1813, 547, 20793, 305, 538, 519, 1985, 3980, 376, 476, 1911, 1296, 563, 763, 5084, 5937, 4932, 568, 2139, 2228, 630, 10059, 2517, 8742, 3820, 270, 1015, 269, 276, 2764, 272, 270, 7999, 29081, 269, 4281, 278, 6795, 277, 275, 267, 1530, 1122, 518, 1696, 620, 1421, 476, 1708, 274, 320, 1040, 32693, 2213, 15038, 1239, 689, 1283, 7240, 7851, 786, 581, 1500, 2139, 2390, 7662, 269, 674, 5723, 291, 4932, 966, 272, 268, 271, 14661, 585, 519, 15718, 5674, 541, 342, 8014, 18647, 538, 27060, 676, 2199, 5544, 4463, 1239, 689, 1283, 4919, 7851, 568, 2139, 896, 513, 11300, 12780, 21922, 9539, 517, 4467, 14293, 27691, 732, 2704, 833, 476, 275, 269, 271, 4139, 630, 6717, 5174, 312, 9539, 290, 4149, 288, 476, 275, 269, 271, 264, 6132, 775, 630, 10059, 2517, 8742, 3820, 270, 1015, 269, 276, 2764, 272, 270, 7999, 29081, 269, 4281, 278, 276, 5952, 276, 267, 1530, 1122, 518, 1696, 620, 1421, 476, 1708, 274, 321, 1916, 763, 7110, 1644, 547, 713, 2376, 568, 2139, 2228, 693, 281, 4179, 2517, 8742, 3820, 270, 1015, 269, 31982, 275, 270, 515, 1087, 268, 2767, 268, 18597, 278, 268, 1708, 274, 23418, 2211, 563, 16775, 267, 13662, 297, 300, 543, 24766, 12497, 2213, 519, 1353, 269, 23794, 9715, 519, 15038, 1239, 543, 1283, 4919, 7851, 269, 23794, 543, 6673, 5342, 2007, 4345, 566, 269, 23794, 5340, 4393, 267, 1239, 9382, 543, 3308, 5314, 269, 23794, 543, 13662, 297, 300, 5941, 13591, 543, 3803, 2164, 269, 24766, 267, 670, 289, 543, 674, 298, 9715, 7616, 543, 616, 3743, 585, 15569, 543, 1788, 7245, 269, 23794, 5423, 519, 3312, 8908, 540, 519, 12377, 269, 2353, 1071, 22052, 4243, 12649, 543, 12995, 519, 12377, 563, 763, 3346, 2278, 814, 10294, 602, 9039, 540, 519, 4589, 814, 1022, 12721, 4690, 563, 21812, 779, 4063, 281, 10515, 1716, 16307, 23549, 3788, 9243, 609, 2543, 547, 11758, 12302, 6811, 538, 3370, 7851, 543, 12250, 28930, 725, 563, 2171, 9684, 590, 3041, 21476, 540, 519, 10934, 4972, 540, 519, 853, 320, 1846, 321, 9560, 6139, 330, 1990, 340, 12670, 585, 3246, 1283, 7240, 4786, 9212, 1519, 1644, 1344, 269, 3204, 710, 1975, 2129, 1676, 689, 2160, 540, 595, 860, 928, 568, 9684, 539, 585, 2520, 648, 325, 17182, 519, 1283, 4919, 4786, 9212, 269, 18000, 291, 4932, 29930, 1239, 543, 519, 10515, 1716, 16307, 667, 4932, 941, 3177, 676, 519, 4436, 17224, 18209, 4741, 630, 13036, 305, 264, 2390, 513, 2257, 11556, 630, 291, 4932, 318, 14176, 11403, 28178, 272, 1040, 16429, 655, 769, 576, 543, 32527, 807, 10507, 1088, 9799, 689, 717, 293, 313, 616, 16416, 2685, 17019, 585, 741, 2186, 5796, 593, 519, 2520, 1355, 15558, 9819, 269, 1284, 9684, 519, 4589, 540, 519, 7379, 6717, 8121, 277, 7256, 5426, 5741, 542, 15484, 585, 3384, 543, 1818, 519, 20793, 305, 20327, 2139, 267, 2789, 7616, 8041, 585, 5885, 519, 1646, 540, 891, 20327, 267, 543, 519, 8331, 7256, 5426, 7827, 12243, 585, 3384, 543, 16475, 519, 1907, 269, 901, 1382, 729, 20019, 6462, 676, 513, 9886, 689, 1546, 583, 22385, 674, 832, 577, 31258, 613, 1889, 1231, 577, 10762, 630, 5263, 294, 1788, 1297, 476, 30329, 27038, 277, 4375, 282, 19836, 476, 2004, 273, 274, 270, 275, 268, 272, 282, 19836, 476, 279, 6507, 270, 4391, 268, 272, 282, 918, 305, 476, 12293, 275, 270, 2764, 268, 272, 1916, 1607, 1382, 814, 1044, 6462, 676, 519, 1546, 583, 22385, 674, 832, 577, 31258, 613, 1889, 1231, 577, 10762, 630, 326, 7949, 1100, 269, 476, 30329, 27038, 277, 4375, 1916, 1607, 1957, 729, 12995, 676, 774, 558, 645, 7541, 731, 543, 12649, 676, 1079, 20822, 22275, 525, 563, 288, 7666, 1791, 267, 674, 269, 808, 1421, 3397, 340, 1791, 267, 631, 269, 589, 1421, 3397, 6686, 5028, 267, 674, 1421, 543, 590, 17505, 31712, 267, 808, 12727, 634, 6111, 540, 7470, 3059, 15038, 3631, 31085, 9112, 689, 16559, 3732, 1239, 267, 2271, 269, 808, 269, 2983, 690, 337, 269, 5606, 269, 2233, 1421, 476, 736, 267, 476, 15433, 1700, 4572, 267, 4179, 2517, 8742, 3820, 270, 1015, 269, 10482, 271, 270, 15793, 276, 6434, 10755, 19740, 4200, 277, 3583, 267, 476, 1220, 277, 563, 2304, 628, 3415, 267, 661, 269, 808, 1421, 645, 612, 564, 267, 631, 1421, 667, 1380, 537, 4068, 345, 267, 623, 1421, 3619, 747, 582, 267, 631, 1421, 543, 10753, 529, 601, 267, 670, 12727, 11137, 540, 519, 3933, 22792, 19899, 1663, 10642, 15718, 5674, 541, 342, 8014, 5211, 18232, 267, 543, 18232, 32132, 10688, 538, 3210, 547, 4657, 2770, 341, 658, 11159, 3761, 267, 3057, 269, 2983, 565, 1421, 476, 275, 1704, 267, 476, 11793, 271, 4343, 267, 4179, 2517, 8742, 3820, 270, 1015, 269, 6200, 277, 10768, 6230, 1618, 334, 269, 1001, 280, 269, 11793, 271, 4343, 267, 476, 1001, 280, 563, 21080, 24650, 4347, 775, 543, 6611, 281, 10515, 1716, 16307, 7913, 29175, 566, 7844, 8605, 18361, 19405, 476, 274, 269, 271, 267, 5794, 24650, 267, 476, 4343, 6032, 1421, 4179, 2517, 4944, 3166, 1092, 6983, 641, 1716, 16307, 4318, 340, 7933, 665, 3701, 270, 1001, 2537, 270, 13199, 26839, 270, 12283, 302, 2735, 279, 4211, 641, 1716, 16307, 291, 4932, 4149, 14154, 268, 16573, 318, 29410, 21652, 1504, 318, 296, 275, 269, 271, 15005, 630, 18431, 1569, 281, 476, 275, 5988, 476, 1708, 273, 1070, 476, 1708, 271, 563, 29155, 787, 267, 623, 269, 589, 269, 631, 1421, 8055, 267, 681, 269, 717, 1421, 543, 5484, 1597, 626, 324, 267, 808, 12727, 31984, 273, 281, 634, 1715, 6820, 7913, 29175, 566, 7844, 267, 538, 281, 32322, 267, 2983, 1355, 543, 3047, 9866, 3569, 267, 4139, 5948, 540, 2983, 3941, 344, 6641, 1842, 807, 476, 13670, 267, 12995, 676, 281, 631, 1068, 1731, 20393, 267, 590, 269, 623, 1421, 22219, 267, 12670, 267, 1261, 14988, 6199, 267, 5125, 267, 476, 23211, 1700, 26801, 267, 4179, 2517, 8742, 3820, 270, 1015, 269, 1911, 278, 270, 7818, 268, 274, 268, 5038, 273, 268, 11793, 4097, 268, 278, 318, 1789, 267, 476, 1001, 271, 563, 6826, 14982, 267, 631, 1421, 14466, 320, 267, 674, 1421, 10127, 6853, 339, 3832, 341, 267, 631, 1421, 1546, 548, 13069, 4302, 267, 595, 1421, 918, 31151, 267, 962, 1421, 16679, 267, 808, 269, 772, 1421, 11831, 340, 267, 966, 1421, 667, 3120, 526, 267, 674, 1421, 2274, 3213, 345, 2335, 564, 267, 717, 1421, 5771, 267, 589, 269, 918, 269, 631, 269, 590, 1421, 2836, 332, 656, 267, 590, 1421, 543, 1744, 636, 267, 595, 269, 918, 12727, 4826, 1377, 2242, 267, 7449, 2064, 267, 543, 4262, 1377, 4473, 538, 519, 717, 5190, 5174, 19207, 14090, 583, 571, 5336, 324, 724, 3534, 18232, 267, 623, 269, 14844, 331, 269, 6298, 269, 2233, 269, 7330, 267, 476, 14056, 267, 476, 5908, 278, 1700, 6942, 277, 267, 4179, 2517, 8742, 3820, 270, 1015, 269, 13040, 274, 9706, 19063, 269, 4489, 29580, 9340, 278, 267, 476, 1708, 271, 563, 289, 749, 657, 267, 966, 269, 543, 17578, 752, 597, 529, 267, 717, 12727, 24951, 15316, 10613, 540, 8490, 23830, 585, 476, 273, 291, 24627, 3525, 2454, 769, 29740, 268, 10000, 19791, 267, 4826, 1763, 712, 269, 2494, 698, 1421, 476, 3066, 267, 476, 4391, 280, 1700, 4375, 278, 267, 4179, 2517, 8742, 3820, 270, 1015, 269, 1911, 278, 4882, 12208, 7597, 268, 26522, 268, 271, 3583, 273, 268, 274, 267, 476, 1001, 276, 563, 289, 327, 698, 629, 10620, 267, 590, 269, 590, 1421, 918, 1177, 30245, 267, 589, 1421, 6875, 1276, 328, 267, 654, 1421, 543, 12736, 12736, 2098, 514, 281, 25947, 5211, 24872, 2096, 4479, 543, 5440, 2762, 23830, 540, 513, 8899, 6441, 3539, 25065, 5211, 19438, 676, 23889, 13038, 590, 712, 1027, 13096, 553, 1115, 267, 808, 269, 28155, 1763, 1421, 476, 1428, 267, 476, 28178, 1700, 29340, 267, 4179, 2517, 8742, 3820, 270, 1015, 269, 20385, 4792, 10768, 20142, 269, 1708, 271, 4877, 30033, 276, 267, 476, 1708, 271, 563, 24154, 5287, 16466, 267, 717, 269, 681, 1421, 5204, 341, 1080, 7288, 267, 808, 269, 623, 269, 631, 1421, 715, 773, 321, 7795, 337, 267, 661, 1421, 744, 3164, 655, 267, 594, 1421, 11612, 326, 1231, 267, 590, 269, 589, 1421, 918, 9116, 1676, 589, 269, 808, 1421, 543, 623, 10232, 267, 700, 12727, 5071, 609, 2470, 281, 6970, 639, 566, 543, 21084, 540, 21472, 14700, 267, 27060, 267, 3047, 2233, 269, 4860, 1421, 476, 13679, 267, 476, 10037, 1700, 11820, 267, 4179, 2517, 8742, 3820, 270, 1015, 269, 6200, 277, 10768, 269, 792, 2675, 790, 341, 269, 1001, 277, 269, 1321, 269, 27947, 267, 476, 1001, 278, 563, 24154, 5287, 16466, 267, 717, 269, 681, 1421, 918, 9116, 1676, 267, 589, 269, 808, 1421, 8303, 267, 590, 1421, 28137, 267, 590, 1421, 543, 715, 724, 22044, 267, 590, 269, 966, 12727, 5211, 543, 1763, 969, 7546, 13772, 19405, 476, 275, 269, 276, 267, 31420, 2861, 5757, 11166, 543, 13111, 1858, 7403, 267, 476, 1960, 279, 1700, 30005, 267, 667, 23859, 24627, 25076, 267, 2160, 540, 12548, 267, 7330, 267, 4179, 2517, 4148, 797, 10849, 969, 2218, 269, 10233, 5964, 12975, 270, 11514, 8408, 16966, 11258, 267, 2063, 1569, 281, 476, 279, 5181, 476, 1708, 273, 563, 289, 18115, 267, 667, 1421, 1530, 1122, 518, 267, 918, 1421, 623, 842, 267, 589, 1421, 1234, 1125, 267, 674, 1421, 28270, 774, 933, 670, 5055, 532, 267, 1530, 601, 9528, 267, 631, 1421, 14956, 6308, 267, 590, 1421, 10609, 514, 21007, 21007, 12736, 267, 12736, 774, 15120, 541, 27526, 2863, 267, 715, 1791, 589, 6614, 267, 589, 2426, 589, 2426, 267, 19109, 1177, 19109, 1177, 267, 26689, 553, 267, 674, 1421, 543, 5696, 6686, 1188, 1676, 267, 670, 12727, 7073, 543, 3140, 9341, 7814, 821, 543, 23329, 12074, 693, 519, 5032, 540, 27060, 281, 20480, 585, 741, 8446, 543, 11091, 538, 519, 17027, 2594, 267, 20767, 2939, 1108, 267, 476, 6858, 267, 476, 16960, 272, 1700, 13970, 280, 267, 4179, 2517, 8742, 3820, 270, 1015, 269, 9340, 272, 4882, 539, 269, 10219, 10436, 267, 476, 1708, 271, 563, 289, 4592, 839, 267, 700, 1421, 8805, 325, 2176, 267, 645, 1421, 3619, 951, 267, 717, 1421, 25548, 3570, 11219, 6558, 267, 661, 1421, 681, 1794, 534, 600, 1695, 663, 787, 267, 966, 269, 674, 1421, 681, 1794, 2378, 574, 10964, 334, 267, 570, 1421, 681, 2378, 12994, 344, 267, 570, 1421, 543, 10496, 10849, 267, 700, 12727, 22414, 2079, 540, 519, 10515, 1716, 16307, 267, 18000, 291, 4932, 29930, 267, 543, 772, 16787, 4149, 325, 300, 3059, 15038, 3631, 547, 7447, 20662, 10440, 630, 326, 592, 569, 264, 12531, 543, 4254, 16478, 3928, 538, 519, 8235, 1325, 320, 582, 571, 3148, 630, 32743, 27377, 1070, 3047, 5080, 325, 269, 13552, 1421, 476, 1015, 267, 476, 20385, 1700, 25375, 267, 4179, 2517, 8742, 3820, 270, 1015, 269, 31982, 275, 270, 525, 584, 325, 268, 1015, 268, 20385, 268, 1708, 273, 267, 476, 1708, 273, 563, 289, 1075, 343, 267, 570, 1421, 8709, 667, 21119, 267, 654, 1421, 632, 4425, 518, 267, 670, 1421, 3400, 553, 267, 590, 1421, 18999, 28086, 267, 966, 269, 570, 1421, 4728, 663, 267, 631, 1421, 543, 11709, 632, 717, 1276, 974, 267, 595, 12727, 22414, 4879, 540, 519, 13438, 543, 6043, 540, 1642, 339, 553, 1107, 6905, 4528, 609, 476, 1691, 1642, 339, 553, 1107, 10282, 1867, 267, 18647, 19137, 4139, 267, 5548, 1111, 8862, 698, 2287, 523, 267, 634, 13814, 267, 18647, 19137, 1867, 1297, 476, 278, 267, 476, 13970, 6032, 1421, 4179, 2517, 14537, 28482, 16896, 7933, 5877, 9706, 4206, 270, 29580, 5400, 280, 11152, 15005, 630, 18431, 1569, 281, 476, 2420, 4989, 476, 1708, 273, 1070, 476, 1001, 275, 563, 290, 663, 11253, 267, 570, 269, 543, 918, 8803, 267, 918, 12727, 634, 1082, 8188, 540, 27643, 7449, 2064, 267, 3163, 267, 476, 4391, 277, 267, 476, 15946, 272, 1700, 15946, 273, 267, 4179, 2517, 8742, 3820, 270, 1015, 269, 12208, 277, 4882, 7220, 269, 629, 333, 3607, 278, 277, 267, 476, 1708, 273, 563, 290, 1156, 267, 667, 1421, 9149, 267, 2473, 1421, 590, 7159, 334, 267, 962, 1421, 20568, 267, 808, 269, 623, 1421, 667, 10224, 267, 962, 1421, 20568, 267, 590, 1421, 543, 18681, 267, 700, 12727, 10765, 4720, 540, 519, 7054, 3863, 23098, 630, 288, 344, 5674, 541, 342, 8014, 264, 18647 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12708, 3004, 1080, 540, 513, 15474, 3427, 8693, 454, 19751, 476, 1428, 267, 476, 1708, 271, 454, 763, 2582, 1034, 1271, 2816, 540, 519, 9030, 568, 2870, 513, 1153, 1604, 1141, 1053, 1745, 2922, 267, 6462, 267, 7722, 267, 543, 7608, 267, 2687, 547, 1082, 1126, 1646, 543, 1153, 5718, 4966, 563, 14399, 945, 616, 12922, 540, 11648, 610, 24515, 723, 1447, 19961, 585, 1565, 269, 20134, 4664, 267, 971, 607, 4743, 9813, 730, 610, 29144, 267, 1118, 621, 9875, 585, 519, 2634, 547, 1184, 1344, 543, 547, 1451, 563, 4002, 519, 16212, 2427, 267, 2634, 1646, 7912, 8460, 950, 1453, 1745, 14156, 543, 9308, 2922, 267, 950, 789, 917, 789, 723, 4079, 945, 1416, 827, 873, 267, 543, 950, 789, 616, 13934, 538, 741, 1565, 269, 0, 14722, 689, 519, 15057, 16581, 543, 700, 12083, 3194, 25944, 630, 298, 531, 549, 264, 723, 3323, 519, 1184, 540, 6721, 2068, 2389, 26985, 19337, 8677, 563, 763, 4966, 723, 2907, 2097, 909, 609, 513, 3099, 602, 568, 27031, 547, 24861, 2068, 269, 24935, 19108, 538, 10878, 643, 26474, 267, 21634, 3563, 25120, 7236, 267, 519, 1244, 14280, 8689, 538, 5279, 540, 7031, 693, 10127, 5979, 267, 1767, 10860, 543, 3676, 941, 930, 540, 519, 2101, 2591, 6849, 19337, 6705, 563, 300, 752, 7236, 1767, 519, 1382, 13539, 814, 2907, 2097, 909, 609, 513, 28533, 754, 880, 3099, 799, 568, 27031, 547, 519, 24861, 2068, 563, 14071, 616, 2324, 5180, 519, 9219, 547, 2097, 909, 609, 1776, 3099, 602, 666, 798, 1134, 538, 2694, 540, 8109, 15057, 1141, 972, 568, 20317, 540, 1216, 2223, 1352, 1767, 563, 9515, 7074, 602, 3668, 540, 10986, 814, 4299, 17833, 549, 779, 1382, 1739, 519, 7333, 676, 519, 2229, 593, 17849, 540, 1007, 5234, 267, 5631, 3744, 563, 300, 752, 7236, 14129, 602, 2022, 3620, 541, 4034, 9271, 602, 2049, 1282, 11183, 543, 6283, 540, 519, 3132, 2611, 1776, 4161, 563, 9515, 1767, 17833, 549, 543, 519, 2622, 7813, 723, 24389, 593, 513, 10872, 547, 2232, 2152, 540, 9544, 2326, 267, 3037, 12680, 543, 16276, 563, 2108, 25387, 519, 2197, 779, 19337, 2504, 568, 1970, 269, 1284, 616, 3257, 476, 1015, 19726, 829, 23505, 269, 1284, 666, 5595, 713, 998, 1689, 538, 8105, 2409, 2223, 25120, 7236, 1767, 563, 8601, 519, 2591, 6849, 6705, 267, 1352, 19011, 1042, 602, 1871, 1840, 1185, 2799, 741, 15271, 269, 968, 10303, 540, 1871, 1840, 267, 649, 1631, 723, 19337, 9174, 267, 5743, 1186, 267, 16693, 543, 824, 2472, 269, 1284, 4927, 3136, 547, 1489, 6705, 865, 602, 789, 666, 3132, 811, 2223, 25120, 7236, 1767, 563, 292, 878, 17340, 574, 328, 267, 513, 19337, 16027, 689, 774, 541, 10440, 715, 603, 328, 6019, 267, 1767, 3676, 543, 1970, 2344, 5777, 941, 519, 7887, 2591, 19337, 6705, 3068, 269, 1261, 1767, 538, 774, 541, 10440, 267, 1216, 20317, 729, 1776, 3390, 563, 2108, 12850, 568, 513, 2462, 1966, 269, 1284, 849, 723, 513, 1297, 540, 3676, 543, 10860, 899, 19337, 649, 5271, 559, 602, 723, 4299, 6705, 7494, 543, 723, 22485, 2504, 269, 1284, 616, 1210, 7471, 11641, 2359, 547, 2270, 873, 2223, 17340, 574, 328, 1767, 269, 0, 21809, 6750, 3631, 723, 6591, 2956, 607, 789, 723, 1831, 24819, 538, 2413, 2486, 269, 634, 4632, 602, 616, 1031, 547, 2203, 519, 6364, 616, 1572, 519, 30661, 267, 2934, 267, 610, 4830, 4632, 269, 8298, 2065, 9695, 6923, 7472, 1362, 17831, 602, 2285, 606, 16315, 540, 10171, 585, 1142, 1362, 269, 3683, 7257, 1154, 568, 519, 3510, 1141, 513, 2203, 13352, 1360, 1134, 547, 519, 1699, 1239, 855, 14543, 950, 17782, 1007, 5439, 269, 8111, 14876, 1239, 2079, 3322, 7114, 3270, 1063, 30661, 543, 606, 4857, 6364, 602, 568, 547, 581, 24018, 610, 10567, 267, 1247, 5667, 10967, 14876, 2553, 616, 5059, 9003, 593, 7114, 3270, 1851, 519, 30661, 269, 634, 1184, 540, 3384, 606, 2500, 2203, 568, 1312, 27952, 543, 646, 22618, 269, 7844, 9186, 9356, 519, 2702, 540, 513, 2203, 547, 14883, 547, 519, 5817, 7811, 2497, 540, 519, 1239, 269, 1715, 5036, 540, 2934, 941, 6508, 18615, 569, 547, 2087, 2773, 540, 519, 2203, 269, 634, 3184, 849, 6799, 606, 7650, 540, 519, 1883, 2035, 5941, 538, 713, 1433, 269, 0, 17730, 519, 15557, 24143, 15258, 267, 476, 3953, 454, 30360, 568, 632, 16667, 2740, 607, 519, 2594, 540, 2798, 610, 18116, 1500, 676, 15712, 538, 513, 3014, 610, 6474, 282, 519, 957, 540, 1818, 610, 15980, 513, 1448, 610, 2798, 282, 513, 512, 958, 630, 31812, 779, 1133, 30457, 9218, 267, 476, 1960, 279, 1040, 634, 1482, 2707, 632, 16667, 5886, 968, 16557, 15258, 892, 607, 513, 3556, 585, 5329, 6060, 540, 513, 5026, 16311, 269, 15706, 945, 2901, 4585, 610, 7119, 538, 5026, 7048, 593, 519, 6060, 15258, 547, 917, 945, 568, 10888, 519, 3014, 267, 875, 519, 15712, 5635, 267, 543, 952, 9283, 616, 2838, 269, 15557, 1646, 3252, 991, 547, 1832, 6060, 607, 1134, 269, 634, 13362, 5092, 538, 5718, 1646, 3292, 568, 1129, 328, 16667, 322, 656, 543, 8639, 1616, 547, 917, 519, 2132, 593, 602, 5092, 269, 634, 5092, 538, 5718, 1646, 11148, 547, 2039, 689, 476, 276, 547, 476, 1839, 2600, 540, 606, 3906, 5993, 2866, 6578, 630, 22013, 1695, 748, 25669, 324, 267, 476, 1220, 272, 1040, 898, 814, 1044, 4080, 602, 519, 5092, 538, 10324, 2069, 543, 5718, 1646, 4485, 1269, 1626, 269, 276, 5479, 9489, 12422, 630, 293, 592, 1067, 543, 717, 9529, 19431, 267, 476, 1220, 272, 1040, 9453, 513, 6060, 15258, 267, 875, 1281, 519, 5718, 1646, 1599, 917, 952, 789, 616, 10888, 519, 5718, 1646, 3014, 267, 875, 741, 5718, 1646, 3292, 5635, 609, 824, 3906, 267, 543, 952, 9283, 616, 2877, 286, 0, 288, 1268, 949, 1397, 2589, 1369, 2395, 1310, 24931, 19058, 15601, 267, 610, 621, 949, 1491, 4374, 267, 3275, 267, 610, 1296, 269, 2368, 1004, 949, 723, 513, 4049, 12176, 1369, 2395, 1310, 24931, 519, 3644, 1247, 1866, 949, 723, 513, 1101, 12176, 865, 7646, 602, 789, 798, 711, 5469, 621, 269, 5221, 540, 891, 7399, 267, 621, 666, 581, 2352, 585, 1004, 547, 917, 950, 543, 689, 7247, 789, 949, 723, 26438, 519, 3644, 563, 1103, 1931, 547, 13209, 15601, 267, 513, 1072, 1416, 8502, 666, 2220, 629, 606, 1858, 540, 1471, 4601, 3742, 15601, 3968, 610, 267, 952, 2589, 5749, 1406, 3742, 267, 513, 1973, 1449, 666, 581, 2016, 602, 3800, 519, 1297, 540, 15601, 12489, 1459, 538, 519, 1560, 269, 634, 12489, 1810, 1406, 5815, 15601, 3294, 267, 855, 2864, 1397, 519, 4761, 1062, 779, 3210, 547, 519, 4527, 540, 519, 3644, 538, 519, 1560, 269, 898, 779, 1271, 547, 4063, 602, 3006, 513, 2220, 629, 666, 2285, 7301, 2942, 2164, 2094, 15601, 15087, 991, 547, 581, 1804, 2614, 547, 6556, 2614, 3713, 762, 3644, 543, 952, 519, 12176, 568, 2907, 7067, 621, 849, 949, 711, 581, 9571, 538, 513, 2220, 629, 269, 630, 277, 994, 288, 476, 1220, 275, 1353, 538, 519, 1715, 4789, 4750, 540, 6925, 1336, 602, 1139, 4809, 3797, 11081, 519, 1981, 540, 23034, 268, 273, 6771, 689, 31916, 267, 7783, 4891, 547, 796, 17126, 539, 4891, 676, 476, 4366, 10065, 1924, 968, 1492, 1981, 540, 6771, 568, 3648, 4389, 267, 855, 3112, 581, 17515, 1256, 609, 1139, 4809, 3797, 2223, 3627, 8725, 6941, 267, 543, 1352, 17613, 602, 519, 3644, 666, 581, 5293, 2059, 1256, 1510, 4191, 610, 2589, 269, 0, 3080, 540, 519, 1034, 1455, 5312, 5711, 5563, 538, 519, 1158, 568, 5959, 1286, 625, 1547, 17327, 23633, 14471, 723, 1044, 519, 2014, 540, 5959, 29693, 13196, 267, 5959, 1286, 625, 267, 607, 1134, 607, 31470, 2526, 543, 27731, 3676, 1547, 6790, 696, 19905, 4573, 753, 568, 835, 540, 519, 1292, 2309, 2065, 13596, 540, 5959, 1286, 625, 267, 799, 568, 3743, 585, 519, 5250, 540, 5959, 15799, 543, 1286, 625, 1547, 4033, 14471, 2404, 609, 713, 5711, 2783, 1331, 18521, 615, 747, 807, 19546, 267, 590, 269, 28857, 2073, 543, 15443, 5866, 2249, 563, 290, 269, 11549, 15092, 568, 519, 1034, 7928, 13803, 9678, 689, 519, 5711, 19659, 609, 4057, 5711, 9882, 1547, 634, 19862, 5820, 540, 5010, 21491, 770, 525, 616, 6140, 3114, 6878, 267, 971, 607, 21973, 543, 31820, 8069, 1547, 634, 3332, 3568, 2963, 3823, 519, 8801, 2360, 540, 21973, 543, 6926, 2286, 8069, 630, 324, 3052, 1421, 25681, 2861, 8069, 264, 1031, 538, 519, 5010, 21491, 770, 525, 4586, 4415, 713, 4282, 538, 2247, 267, 519, 1459, 1353, 6322, 547, 25666, 513, 4874, 615, 4472, 26025, 1510, 1022, 21973, 610, 31820, 8069, 543, 6218, 922, 21734, 3601, 269, 634, 1292, 5820, 540, 713, 26025, 3769, 519, 6978, 21555, 540, 3203, 28087, 807, 1951, 322, 684, 1529, 639, 700, 269, 630, 4696, 299, 1070, 590, 1155, 10937, 737, 327, 15120, 652, 534, 3821, 630, 297, 600, 345, 611, 282, 27699, 297, 1070, 543, 3733, 4135, 639, 1209, 529, 630, 299, 4883, 282, 631, 12710, 1040, 634, 631, 12710, 610, 1250, 337, 1479, 267, 10362, 547, 519, 3733, 4135, 19687, 630, 299, 600, 807, 576, 2801, 264, 1920, 267, 568, 606, 23599, 28033, 1507, 3529, 609, 1507, 16714, 543, 3875, 8371, 1547, 769, 3504, 16392, 11922, 267, 1250, 337, 1479, 3762, 543, 5810, 941, 1031, 585, 519, 2126, 540, 7929, 2042, 267, 7988, 550, 2044, 267, 17256, 8778, 5563, 267, 543, 6596, 15633, 607, 513, 5023, 31683, 4586, 6097, 547, 519, 3332, 267, 519, 1898, 3282, 540, 631, 12710, 814, 14278, 1670, 2238, 267, 1519, 15934, 2073, 21734, 1496, 280, 267, 476, 1015, 3910, 543, 30624, 25193, 2238, 1496, 1556, 267, 476, 1321, 4940, 1703, 568, 2963, 3823, 519, 7409, 7480, 2534, 540, 519, 1898, 3282, 540, 631, 12710, 1996, 24802, 9678, 5711, 23633, 14471, 1547, 3203, 28087, 807, 568, 513, 1507, 543, 31934, 23599, 21906, 689, 519, 589, 3122, 19687, 1920, 2073, 799, 568, 1572, 834, 307, 1046, 327, 517, 257, 538, 9459, 269, 769, 2757, 4915, 267, 713, 2030, 568, 1031, 585, 519, 16185, 540, 7181, 24074, 267, 8611, 267, 543, 3987, 543, 568, 1634, 547, 723, 4550, 13611, 267, 4550, 24733, 553, 12792, 267, 15934, 267, 543, 21734, 2238, 4586, 4002, 519, 824, 1688, 267, 27699, 297, 267, 10362, 547, 519, 19681, 807, 576, 2801, 1920, 267, 568, 14916, 6738, 538, 519, 7187, 10609, 15120, 652, 534, 543, 7013, 22784, 16330, 16899, 540, 9459, 1547, 901, 2030, 814, 12926, 1044, 1031, 585, 17212, 1324, 5694, 1928, 267, 14304, 519, 10733, 267, 543, 7067, 519, 10138, 538, 519, 7013, 851, 540, 9459, 1547, 5047, 267, 713, 10786, 814, 1044, 4294, 585, 21734, 476, 543, 30624, 25193, 476, 5301, 267, 607, 1134, 607, 519, 2126, 540, 11763, 3676, 1496, 736, 268, 2641, 4940, 2060, 2543, 547, 519, 3105, 2090, 8989, 519, 21734, 3601, 540, 4874, 615, 4472, 26025, 1496, 2420, 267, 476, 2537, 3910, 519, 1699, 1353, 729, 5342, 547, 25666, 513, 1007, 4874, 615, 4472, 26025, 5627, 519, 25694, 16909, 21555, 2139, 538, 9459, 543, 6218, 922, 21734, 1494, 1890, 1996, 5711, 13596, 563, 29605, 543, 10613, 454, 27609, 566, 540, 21555, 454, 763, 5084, 299, 729, 12349, 689, 519, 2199, 2344, 267, 543, 631, 12710, 543, 27699, 297, 941, 5423, 609, 519, 11226, 540, 519, 16581, 543, 7849, 8249, 4741, 267, 13259, 341, 1794, 267, 9459, 269, 634, 6394, 2371, 941, 2011, 12015, 538, 12094, 269, 6168, 476, 1015, 575, 540, 1142, 32314, 2011, 12015, 2030, 729, 3773, 547, 1911, 16720, 25062, 30341, 1216, 630, 272, 281, 272, 654, 270, 309, 264, 538, 513, 4837, 581, 6033, 585, 5672, 3130, 267, 543, 1287, 17861, 730, 593, 513, 27414, 695, 6033, 585, 476, 7761, 554, 1547, 769, 519, 1985, 1900, 267, 519, 19288, 540, 20022, 729, 12913, 1210, 1548, 2006, 6882, 1957, 3143, 269, 272, 269, 634, 12974, 3603, 25694, 21555, 941, 18493, 730, 543, 12015, 693, 519, 4055, 2837, 269, 634, 21555, 941, 6740, 538, 2011, 2389, 697, 11149, 693, 910, 736, 391, 504, 290, 2394, 2104, 946, 563, 19859, 13060, 543, 26912, 4918, 7041, 454, 763, 21734, 2534, 540, 2185, 26103, 4551, 630, 294, 1090, 25698, 264, 9678, 689, 4791, 25904, 543, 15443, 5866, 2249, 729, 12290, 269, 589, 2698, 540, 12964, 26103, 4551, 267, 1519, 590, 269, 521, 1481, 529, 267, 590, 269, 2892, 19041, 639, 267, 590, 269, 4573, 753, 267, 543, 700, 269, 2013, 328, 267, 941, 5423, 689, 519, 13792, 6006, 4529, 5833, 689, 519, 4972, 540, 6481, 31814, 267, 13259, 341, 1794, 808, 1495, 880 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1631, 519, 1007, 476, 4649, 286, 3143, 1259, 256, 594, 6557, 711, 2386, 476, 4037, 568, 1256, 519, 1007, 476, 4792, 269, 476, 4037, 1522, 1175, 581, 519, 1007, 476, 4037, 256, 1924, 267, 1018, 779, 2469, 593, 1934, 888, 294, 1068, 337, 8775, 23415, 5206, 267, 968, 2171, 616, 2141, 547, 6000, 1762, 2367, 543, 1762, 2021, 1848, 15516, 269, 23415, 2798, 856, 602, 16148, 942, 568, 1360, 1114, 689, 6662, 942, 269, 8629, 1947, 267, 649, 2085, 835, 1032, 267, 1169, 1032, 269, 13595, 1947, 267, 649, 1810, 1406, 2336, 22428, 594, 6557, 476, 4792, 267, 1843, 1947, 269, 4340, 547, 6671, 7326, 1250, 16148, 2085, 568, 476, 3393, 269, 1809, 1946, 476, 3393, 286, 4208, 711, 476, 3374, 610, 476, 1839, 610, 1256, 476, 1428, 610, 476, 276, 585, 602, 2339, 888, 16039, 269, 23415, 17191, 713, 2243, 2507, 663, 12943, 621, 269, 2311, 476, 4792, 594, 666, 581, 476, 4649, 610, 476, 3393, 610, 476, 3374, 610, 476, 1839, 2507, 20357, 782, 540, 873, 616, 2731, 2048, 1839, 685, 630, 9767, 978, 2367, 543, 1762, 2021, 1040, 1809, 476, 4792, 666, 1406, 581, 519, 1007, 476, 1428, 610, 519, 1007, 476, 276, 269, 4208, 286, 5221, 476, 1428, 4458, 29419, 616, 711, 476, 1428, 267, 6862, 616, 476, 276, 4458, 29419, 476, 276, 269, 5637, 616, 2048, 1839, 685, 1932, 281, 968, 2171, 616, 2141, 547, 6000, 1762, 2367, 543, 1762, 2021, 3034, 1692, 1131, 596, 3113, 707, 2085, 286, 1306, 513, 2786, 1899, 4881, 693, 513, 476, 3393, 4110, 5086, 689, 4332, 630, 271, 267, 271, 264, 547, 2669, 286, 2334, 779, 942, 782, 1318, 267, 855, 621, 568, 6662, 942, 281, 586, 815, 1535, 269, 1717, 267, 1641, 1947, 267, 942, 568, 6140, 513, 6366, 1899, 10126, 267, 6252, 547, 519, 1535, 14289, 267, 4881, 689, 1535, 815, 476, 1839, 547, 1535, 815, 476, 4792, 563, 5804, 4332, 547, 476, 1839, 543, 689, 476, 4792, 593, 267, 16148, 2085, 5205, 513, 20078, 559, 710, 541, 3950, 267, 23756, 1354, 476, 1839, 267, 6677, 1511, 1310, 476, 4792, 269, 1772, 621, 2009, 547, 798, 606, 3830, 585, 602, 888, 1103, 519, 19468, 956, 7260, 267, 14117, 4427, 3405, 710, 267, 3627, 267, 6754, 267, 6723, 267, 543, 681, 22857, 1265, 2933, 538, 2048, 1492, 4262, 540, 942, 9957, 8629, 1947, 267, 789, 1036, 816, 547, 26638, 543, 1287, 4434, 547, 2025, 2085, 267, 782, 538, 519, 2230, 540, 1175, 513, 1906, 3764, 269, 1809, 998, 621, 782, 789, 2611, 968, 9767, 978, 2367, 5608, 1775, 4318, 1421, 2235, 320, 476, 1839, 269, 1358, 2661, 538, 2048, 306, 12888, 6066, 17483, 2414, 2263, 2417, 519, 7326, 540, 519, 14117, 4427, 3405, 710, 267, 3251, 22934, 585, 17136, 1948, 272, 540, 11083, 18225, 267, 16516, 585, 8313, 593, 476, 277, 270, 272, 270, 2420, 267, 543, 2638, 856, 519, 4183, 2376, 267, 3163, 543, 519, 14117, 4427, 3405, 710, 269, 3883, 5658, 513, 548, 1492, 9332, 3736, 2593, 563, 306, 1539, 1214, 2760, 18646, 540, 10213, 721, 547, 2048, 716, 938, 2085, 9957, 1809, 799, 2085, 286, 1284, 616, 938, 1378, 2085, 1152, 1614, 2053, 538, 938, 2729, 281, 2899, 693, 4332, 630, 528, 1354, 1070, 2899, 950, 519, 1079, 13796, 24551, 630, 11357, 11187, 1299, 6662, 264, 12969, 267, 543, 6368, 693, 519, 4090, 540, 938, 2669, 269, 19227, 267, 938, 16148, 2085, 568, 2141, 1114, 689, 938, 6662, 2085, 269, 1215, 666, 594, 957, 1250, 2085, 952, 594, 1810, 1406, 917, 875, 2025, 594, 993, 888, 296, 4076, 2141, 25343, 1453, 945, 1223, 3398, 1373, 1453, 543, 2025, 11570, 945, 1223, 3398, 1373, 2025, 269, 24410, 1076, 568, 267, 594, 4076, 1558, 1360, 1906, 540, 2901, 2336, 296, 666, 1406, 3314, 513, 942, 950, 594, 2219, 540, 8885, 607, 513, 2048, 18876, 9957, 3733, 6689, 729, 606, 796, 15842, 5287, 6560, 547, 9101, 910, 9101, 689, 3237, 267, 9101, 689, 1153, 267, 9101, 689, 6689, 3294, 256, 594, 666, 1406, 3314, 513, 942, 950, 594, 1705, 711, 1616, 547, 581, 476, 1839, 267, 543, 1705, 711, 1589, 540, 8885, 607, 476, 1839, 267, 2394, 1631, 269, 594, 993, 476, 4037, 267, 899, 621, 610, 711, 267, 543, 594, 6557, 4358, 547, 1589, 540, 8885, 607, 476, 4037, 267, 610, 2673, 547, 621, 269, 3733, 24551, 616, 4780, 3101, 2507, 1721, 519, 2063, 942, 269, 0, 2704, 6495, 19203, 14807, 1049, 3163, 1677, 903, 10022, 454, 272, 269, 8262, 10854, 3163, 10905, 519, 2257, 540, 7998, 267, 13608, 267, 17651, 267, 11585, 267, 3092, 269, 883, 519, 3872, 11442, 267, 621, 2306, 1453, 723, 811, 1187, 609, 2257, 538, 519, 27503, 2085, 563, 273, 269, 2353, 519, 2257, 20164, 1118, 519, 13241, 2069, 1454, 811, 4443, 543, 16168, 585, 1142, 1920, 563, 274, 269, 5753, 666, 1451, 1454, 2257, 1702, 1247, 4730, 609, 938, 3872, 2257, 6539, 563, 275, 269, 2353, 519, 2472, 616, 3812, 896, 519, 2298, 6240, 540, 589, 10258, 476, 272, 269, 276, 543, 16783, 519, 4152, 4441, 540, 30680, 674, 280, 8287, 267, 13673, 10170, 267, 6789, 21610, 313, 306, 267, 3092, 563, 1103, 1272, 267, 649, 2141, 12235, 2476, 930, 23987, 3688, 269, 901, 786, 2014, 3653, 543, 786, 2800, 938, 4541, 547, 513, 1978, 6708, 563, 4131, 781, 1205, 3323, 543, 946, 891, 3688, 547, 1118, 930, 4190, 23598, 563, 4131, 1453, 1451, 1702, 543, 1020, 513, 1434, 4356, 540, 9494, 689, 606, 2038, 2085, 563, 2467, 616, 476, 278, 2238, 538, 519, 6539, 912, 12244, 476, 272, 281, 4427, 3405, 710, 454, 12244, 476, 273, 281, 24935, 570, 4209, 454, 12244, 476, 274, 281, 3474, 778, 1393, 454, 12244, 476, 275, 281, 17491, 32423, 454, 12244, 476, 276, 281, 9540, 9412, 564, 454, 12244, 476, 277, 281, 674, 27961, 27822, 454, 12244, 476, 278, 281, 4826, 16513, 6177, 5264, 454, 16085, 1399, 548, 1475, 14807, 1049, 3163, 14173, 267, 7186, 3163, 1677, 903, 2008, 19064, 22326, 12025, 6262, 332, 10534, 3066, 1535, 476, 2918, 269, 276, 1535, 476, 278, 4699, 2008, 347, 13729, 1315, 14295, 517, 1475, 277, 30498, 2008, 18871, 13696, 1315, 14295, 517, 630, 332, 23326, 10534, 271, 269, 271, 6246, 544, 23326, 2008, 347, 294, 1484, 13379, 630, 330, 7714, 10534, 274, 269, 2641, 4846, 2008, 347, 15187, 13379, 630, 330, 7714, 10534, 273, 269, 5038, 11899, 2008, 347, 18184, 611, 1475, 17129, 300, 267, 13673, 10170, 267, 6789, 21610, 313, 306, 267, 3092, 8198, 16085, 3726, 585, 2085, 1475, 277, 1341, 2008, 347, 302, 4932, 1299, 744, 19699, 1475, 13510, 9005, 2008, 16085, 2217, 5384, 1475, 273, 910, 476, 276, 2395, 2008, 19064, 3174, 5384, 1475, 1428, 910, 476, 3393, 2395, 267, 2687, 547, 1931, 7274, 8198, 304, 281, 1548, 568, 519, 17834, 304, 888, 288, 2433, 476, 1001, 277, 5036, 585, 2834, 2450, 6539, 563, 304, 281, 1215, 547, 6494, 519, 5370, 15017, 288, 281, 1284, 2356, 6494, 519, 5370, 676, 7256, 538, 674, 9448, 610, 700, 12710, 267, 543, 649, 849, 1131, 6494, 519, 5370, 676, 2011, 610, 2769, 563, 304, 281, 1215, 547, 1205, 513, 3732, 15017, 288, 281, 1411, 949, 1217, 721, 519, 6221, 1297, 540, 519, 3732, 596, 1131, 899, 547, 723, 267, 649, 786, 5955, 609, 3732, 1045, 4069, 630, 952, 972, 568, 930, 3732, 1942, 8094, 304, 281, 1684, 596, 1683, 744, 4932, 3028, 15017, 288, 281, 8786, 267, 649, 723, 1082, 1296, 1995, 538, 1818, 744, 4932, 9753, 563, 304, 281, 1548, 568, 519, 15205, 2823, 15017, 288, 281, 29305, 6767, 334, 2073, 570, 1014, 329, 514, 267, 29258, 2073, 715, 532, 2692, 563, 304, 281, 2052, 594, 1205, 513, 1906, 3732, 1354, 11093, 1931, 15017, 288, 281, 8786, 267, 649, 666, 2709, 3732, 607, 707, 7662, 269, 1284, 786, 2445, 3732, 12375, 543, 32479, 1310, 596, 1747, 1931, 563, 304, 281, 1548, 827, 519, 1291, 942, 585, 2527, 2504, 15017, 288, 281, 898, 5673, 593, 519, 1931, 7274, 543, 519, 4005, 596, 1747, 519, 1931, 269, 634, 2834, 1291, 942, 568, 476, 3393, 2395, 1310, 649, 4309, 519, 1780, 1449, 1867, 610, 519, 8569, 563, 304, 281, 1548, 568, 707, 1587, 15549, 344, 15017, 288, 2433, 1284, 10018, 519, 2472, 5561, 4607, 616, 11727, 269, 1403, 972, 616, 1022, 7745, 2694, 267, 5225, 6494, 721, 930, 2143, 8666, 676, 661, 17733, 267, 543, 1287, 649, 786, 6494, 596, 519, 10682, 2694, 2687, 547, 519, 4890, 2175, 0, 1607, 2022, 814, 1044, 1224, 476, 13647, 4200, 2053, 2336, 288, 5619, 5342, 676, 519, 1977, 623, 1168, 3194, 4741, 538, 2904, 476, 1220, 280, 593, 2818, 540, 519, 1977, 5948, 585, 519, 21992, 618, 540, 3163, 1336, 602, 789, 616, 1454, 1447, 3909, 982, 519, 2489, 1857, 269, 2859, 982, 3368, 540, 873, 3494, 538, 930, 1106, 540, 2696, 610, 513, 16750, 1379, 267, 855, 519, 4099, 1336, 602, 519, 8167, 1851, 519, 1964, 540, 4892, 14380, 547, 476, 4817, 260, 2336, 1103, 513, 811, 2487, 5619, 267, 476, 275, 856, 540, 476, 1015, 3744, 1705, 711, 3494, 538, 513, 16750, 1379, 855, 1152, 476, 275, 260, 540, 741, 4961, 3838, 519, 1482, 6644, 563, 763, 5767, 5619, 540, 3744, 5702, 5205, 3105, 12220, 267, 799, 6027, 741, 8369, 827, 4984, 267, 543, 519, 1101, 540, 891, 6901, 729, 5342, 538, 476, 4489, 275, 676, 519, 18230, 12677, 18673, 6276, 700, 18866, 267, 945, 5342, 1010, 1382, 593, 519, 8369, 540, 827, 476, 272, 267, 1822, 3744, 538, 519, 2136, 2276, 540, 3013, 547, 2307, 873, 827, 741, 8369, 827, 2696, 634, 3621, 2146, 568, 14961, 5258, 267, 609, 476, 5655, 260, 18468, 538, 513, 1808, 267, 30753, 25976, 267, 1247, 513, 2147, 6871, 1767, 789, 798, 711, 563, 5415, 982, 476, 3199, 1296, 2663, 267, 11977, 700, 1513, 517, 267, 513, 14787, 540, 2257, 945, 729, 693, 519, 942, 3450, 693, 519, 2160, 540, 11908, 267, 6963, 4327, 519, 700, 18866, 5619, 267, 6998, 519, 1482, 2055, 547, 519, 1482, 1297, 540, 3744, 269, 898, 1336, 602, 476, 2412, 260, 540, 3744, 3494, 538, 513, 2123, 2696, 267, 1247, 476, 3393, 260, 2161, 789, 798, 711, 267, 543, 824, 12220, 540, 3744, 723, 26857, 5176, 2147, 2164, 563, 11693, 519, 1970, 2338, 543, 2157, 540, 3661, 540, 513, 1804, 8167, 540, 3744, 538, 513, 16750, 1379, 267, 621, 568, 711, 9670, 602, 519, 8167, 540, 1346, 945, 798, 711, 4866, 547, 1022, 4984, 568, 1454, 2362, 982, 621, 568, 1851, 519, 1455, 1004, 269, 4935, 267, 621, 5205, 602, 1034, 3909, 5389, 616, 6719, 538, 4130, 2338, 538, 519, 3621, 2146, 982, 538, 519, 1857, 607, 513, 2898, 563, 2690, 1383, 267, 649, 1265, 602, 519, 8167, 540, 14308, 1218, 538, 519, 3621, 2146, 13054, 1152, 476, 2641, 9077, 5103, 519, 1249, 602, 27685, 25025, 540, 873, 2099, 1152, 476, 2764, 260, 540, 519, 1977, 2551, 267, 543, 741, 6871, 13054, 1152, 513, 1507, 10126, 630, 275, 8472, 540, 519, 3621, 2146, 269, 589, 8037, 9868, 568, 602, 7642, 267, 945, 1118, 909, 513, 3677, 8167, 540, 519, 3621, 2146, 630, 279, 15992, 1118, 909, 1152, 476, 273, 260, 540, 519, 2489, 1977, 2551, 563, 288, 623, 1168, 3194, 4741, 5619, 849, 1336, 602, 2157, 540, 3909, 3661, 1851, 3744, 4268, 2687, 547, 741, 3621, 29286, 543, 2085, 1895, 269, 1280, 1383, 267, 476, 6078, 260, 540, 2447, 1235, 3494, 538, 513, 6456, 10143, 1379, 267, 513, 3677, 8167, 982, 1346, 2324, 538, 824, 2101, 3621, 4610, 269, 11531, 267, 7820, 3744, 267, 6502, 476, 1240, 547, 476, 4097, 267, 616, 811, 2693, 547, 3494, 538, 16750, 1379, 982, 1346, 945, 616, 4587, 563, 288, 623, 1168, 4741, 1353, 267, 1644, 547, 3909, 4282, 267, 5763, 543, 2069, 267, 4951, 602, 7642, 616, 519, 1034, 13473, 267, 609, 606, 3328, 2671, 540, 476, 1724, 269, 275, 1296, 540, 18375, 267, 1247, 10271, 723, 476, 280, 269, 274, 1296, 563, 296, 4734, 621, 547, 596, 547, 7447, 519, 829, 21027, 2671, 540, 2069, 538, 938, 2477, 267, 1256, 1498, 649, 616, 519, 5207, 538, 519, 1158, 538, 519, 1297, 540, 25963, 540, 17170, 4387, 622, 5232, 563, 324, 17733, 281, 1496, 16942, 6870, 2639, 3528, 13259, 24703, 620, 338, 541, 571, 325, 0, 24309, 676, 32000, 12243, 454, 18455, 513, 2385, 568, 513, 1025, 1170, 995, 1995, 269, 3509, 1131, 3409, 972, 568, 1100, 1995, 1732, 982, 8384, 741, 1126, 1332, 269, 898, 568, 3274, 513, 10508, 547, 4585, 513, 1126, 979, 1498, 519, 1114 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11418, 723, 4824, 282, 519, 6323, 568, 519, 1482, 269, 1924, 1175, 1317, 972, 616, 930, 2338, 602, 1413, 899, 789, 1118, 513, 1448, 267, 621, 3085, 1405, 8209, 1611, 789, 2811, 2953, 563, 1103, 1840, 267, 2015, 875, 519, 15408, 2965, 6494, 1239, 269, 1411, 723, 547, 10575, 1074, 547, 513, 9682, 269, 1403, 602, 9682, 3884, 1405, 538, 2039, 540, 519, 3077, 267, 621, 814, 547, 6494, 513, 5365, 547, 1776, 835, 269, 2334, 1522, 723, 547, 4755, 513, 1297, 540, 2053, 1354, 596, 3914, 513, 9682, 538, 519, 1318, 13664, 2990, 267, 799, 1287, 1524, 31904, 547, 513, 2666, 9744, 267, 799, 3096, 10814, 547, 1921, 547, 519, 3984, 267, 799, 1287, 17066, 519, 2666, 9744, 609, 519, 1239, 267, 799, 15920, 602, 547, 519, 9682, 267, 799, 814, 547, 6494, 519, 1267, 1394, 547, 707, 9682, 267, 543, 1287, 621, 21128, 693, 707, 2777, 269, 2353, 891, 2188, 1223, 6338, 26125, 2042, 267, 543, 930, 1223, 6338, 19961, 2042, 269, 1403, 972, 3884, 1405, 513, 10375, 569, 2000, 11343, 2666, 9744, 585, 707, 10278, 267, 596, 1522, 1439, 909, 7680, 1034, 540, 519, 10814, 8488, 19037, 269, 1403, 596, 2811, 1310, 513, 7746, 538, 513, 1747, 899, 14135, 267, 609, 513, 2603, 540, 13763, 543, 2370, 4055, 585, 9682, 1524, 15062, 2230, 267, 596, 1522, 1265, 602, 519, 5266, 1906, 15408, 972, 616, 8185, 21002, 2989, 269, 589, 2603, 540, 713, 568, 2352, 547, 5173, 1510, 1569, 547, 519, 2407, 12319, 602, 519, 2754, 814, 543, 27378, 693, 851, 540, 621, 269, 2311, 2547, 267, 711, 2394, 621, 2965, 4422, 883, 3028, 543, 649, 666, 1995, 621, 585, 6000, 269, 19402, 1287, 267, 596, 1522, 1616, 547, 1589, 7466, 1354, 30418, 621, 781, 17386, 1967, 609, 971, 25525, 269, 0, 28406, 532, 5800, 762, 20905, 454, 10144, 945, 2951, 513, 2603, 267, 2523, 585, 1870, 267, 7048, 593, 24195, 543, 5985, 3457, 971, 607, 16389, 543, 14342, 1813, 547, 741, 11741, 2470, 543, 8897, 540, 3560, 269, 6736, 741, 8560, 543, 13418, 267, 891, 2934, 849, 1118, 873, 513, 11275, 585, 20737, 269, 23496, 707, 5985, 3457, 616, 5150, 568, 1271, 547, 2149, 519, 3926, 543, 1022, 1239, 621, 3568, 563, 1432, 666, 594, 798, 888, 20376, 675, 707, 15409, 3457, 609, 891, 1614, 2656, 17993, 912, 268, 24344, 707, 3926, 543, 2149, 707, 1344, 676, 1210, 513, 5496, 9376, 267, 14238, 543, 5781, 25380, 909, 6119, 454, 268, 2422, 5150, 3301, 543, 1118, 2386, 621, 568, 909, 547, 4266, 454, 268, 2142, 6297, 1210, 1857, 15261, 19712, 5121, 454, 1432, 568, 693, 1981, 888, 2791, 616, 519, 1152, 835, 945, 666, 6430, 1018, 568, 2965, 538, 8594, 269, 1879, 513, 555, 3971, 3217, 707, 15291, 610, 5985, 3926, 267, 519, 3119, 2530, 568, 519, 2168, 3926, 3294, 269, 1403, 513, 555, 3971, 568, 2111, 547, 1569, 513, 2780, 610, 5985, 3926, 267, 782, 540, 519, 1239, 6740, 593, 519, 3926, 568, 538, 8594, 267, 7132, 1022, 2417, 1344, 789, 666, 2744, 689, 602, 3355, 1239, 563, 4462, 17769, 7606, 1058, 581, 15286, 689, 11543, 1569, 547, 4105, 9746, 610, 6075, 1239, 269, 12267, 540, 3906, 7680, 11784, 1813, 547, 4503, 610, 21687, 24195, 5627, 6213, 1239, 616, 1455, 269, 4634, 952, 707, 15291, 610, 6049, 1281, 711, 2270, 14804, 9746, 1239, 267, 972, 568, 824, 1344, 602, 666, 581, 2322, 693, 1981, 267, 971, 607, 13393, 3877, 267, 18538, 267, 4757, 9607, 543, 3346, 9623, 267, 2123, 1344, 585, 2228, 6589, 267, 3092, 563, 1432, 5686, 540, 15409, 3457, 798, 594, 991, 547, 2149, 888, 300, 9394, 3457, 899, 11436, 267, 14342, 267, 543, 24195, 723, 1831, 606, 7533, 851, 540, 938, 2729, 269, 4658, 1419, 946, 891, 3457, 585, 12948, 267, 15737, 543, 10918, 593, 519, 4950, 563, 3963, 568, 621, 1271, 888, 28406, 707, 1344, 543, 2569, 519, 1981, 540, 1373, 513, 3077, 547, 6880, 322, 3234, 10904, 676, 17516, 707, 15409, 3457, 563, 21545, 762, 3457, 616, 1390, 585, 2238, 602, 4125, 2123, 1239, 971, 607, 12948, 267, 4757, 532, 543, 10918, 269, 901, 2306, 707, 5985, 3457, 513, 14909, 3077, 585, 6880, 20737, 269, 898, 568, 1898, 547, 1832, 707, 3457, 5150, 689, 6880, 322, 3234, 10904, 945, 666, 2744, 1569, 547, 873, 998, 519, 4950, 543, 796, 31261, 3301, 269, 0, 4002, 519, 6532, 540, 10084, 538, 12868, 267, 519, 12054, 518, 340, 18962, 30192, 593, 10732, 5412, 476, 275, 267, 513, 1032, 1310, 513, 14686, 9568, 269, 634, 4741, 585, 26439, 1108, 543, 10644, 540, 24959, 2598, 7539, 630, 11901, 11586, 294, 264, 814, 4956, 547, 6318, 519, 10332, 1377, 540, 6778, 12054, 518, 340, 689, 1377, 1614, 547, 1377, 2185, 267, 519, 5207, 269, 968, 1607, 1797, 602, 8594, 27938, 20651, 2127, 543, 602, 519, 2534, 540, 519, 18962, 814, 14556, 1881, 892, 30161, 7134, 1010, 22557, 17367, 267, 26673, 571, 25511, 1177, 534, 267, 547, 519, 918, 20234, 553, 7641, 8756, 563, 299, 11343, 538, 519, 7532, 540, 519, 6532, 540, 10084, 267, 540, 799, 621, 568, 519, 5207, 1448, 267, 609, 606, 15820, 540, 476, 274, 267, 6858, 277, 7397, 267, 6778, 12054, 518, 340, 22883, 606, 11849, 6531, 827, 476, 272, 269, 276, 5998, 1164, 593, 10732, 269, 3143, 25096, 941, 4080, 5612, 1310, 519, 20349, 267, 855, 6004, 25511, 1177, 534, 15695, 7404, 7264, 547, 3251, 693, 2547, 476, 279, 14790, 2476, 689, 519, 28188, 563, 12041, 885, 849, 4280, 1004, 547, 2057, 513, 476, 1724, 5998, 1279, 1858, 2059, 513, 5757, 267, 2509, 799, 519, 15027, 11849, 6531, 729, 3001, 269, 17125, 1562, 723, 1044, 1305, 909, 547, 2777, 19774, 1004, 267, 543, 8128, 723, 7856, 13968, 547, 7404, 7264, 547, 2149, 873, 689, 2011, 5533, 689, 519, 11849, 563, 23219, 940, 540, 23329, 1981, 538, 3567, 454, 309, 23450, 21883, 593, 1514, 2923, 4951, 726, 6979, 540, 8673, 8375, 689, 6778, 12054, 518, 340, 543, 693, 2547, 835, 8498, 4988, 538, 11849, 543, 10627, 1117, 538, 513, 4158, 5134, 269, 2991, 519, 20349, 267, 519, 5769, 729, 2759, 543, 519, 5985, 15146, 3060, 729, 25768, 267, 2687, 547, 513, 19784, 689, 3397, 775, 5333, 6261, 637, 572, 630, 288, 17025, 1916, 2690, 922, 851, 267, 519, 5545, 25561, 1670, 10837, 19230, 540, 513, 2009, 23329, 267, 3361, 676, 519, 20349, 540, 519, 24414, 18962, 267, 1472, 476, 277, 281, 1789, 513, 6230, 1421, 538, 519, 10195, 540, 631, 12011, 752, 334, 543, 962, 2801, 344, 4821, 267, 538, 519, 3665, 5045, 540, 519, 2895, 28396, 269, 5545, 267, 2687, 547, 519, 19109, 29081, 3377, 8116, 269, 1323, 5662, 2663, 267, 2705, 267, 1100, 3441, 1185, 1044, 4080, 563, 763, 2063, 20349, 540, 6778, 12054, 518, 340, 267, 538, 5412, 476, 1708, 272, 267, 7166, 693, 2547, 476, 7906, 1004, 269, 631, 644, 16435, 1938, 543, 11849, 1266, 5285, 539, 3003, 14252, 543, 5176, 476, 1015, 267, 1822, 1004, 1185, 547, 25176, 741, 5321, 269, 12868, 18795, 593, 519, 7414, 23580, 540, 9605, 267, 1141, 519, 5870, 540, 18626, 10824, 3123, 2178, 15027, 543, 20381, 2534, 269, 634, 14913, 7489, 2895, 28396, 814, 827, 476, 9873, 3742, 22747, 269, 0, 4002, 2789, 14026, 649, 25657, 1312, 2474, 267, 543, 811, 865, 950, 649, 798, 711, 917, 741, 2589, 543, 741, 1880, 4162, 269, 1677, 16174, 873, 267, 596, 1590, 917, 741, 2589, 543, 741, 2360, 593, 519, 1480, 1560, 543, 593, 519, 3232, 1272, 540, 1346, 945, 7985, 689, 873, 563, 1432, 568, 1488, 9374, 888, 2005, 568, 519, 6553, 540, 519, 10549, 267, 950, 713, 4523, 789, 10413, 267, 2220, 749, 543, 1745, 3905, 547, 519, 5905, 269, 18748, 539, 10549, 6336, 10688, 543, 666, 1831, 632, 11526, 269, 1403, 621, 5540, 1152, 835, 4745, 621, 568, 1634, 607, 1395, 24763, 267, 952, 621, 5540, 476, 273, 610, 476, 274, 621, 568, 1634, 607, 23731, 24763, 543, 952, 621, 5540, 476, 275, 610, 811, 8195, 649, 616, 538, 519, 4527, 540, 4874, 541, 9374, 563, 17843, 3676, 543, 25102, 27689, 616, 1634, 547, 2014, 12263, 267, 971, 607, 27131, 12263, 543, 922, 14726, 267, 11174, 7329, 11340, 987, 545, 12263, 267, 11763, 12263, 267, 2890, 322, 15009, 531, 12263, 267, 6281, 12263, 267, 19535, 12263, 267, 543, 5778, 12949, 545, 12263, 563, 6635, 9374, 568, 711, 1813, 547, 513, 2014, 538, 3294, 267, 855, 972, 616, 827, 476, 1911, 1114, 3676, 602, 666, 2014, 621, 269, 898, 666, 723, 1360, 3978, 4539, 971, 607, 1928, 543, 2530, 540, 10688, 538, 519, 4745, 269, 634, 2126, 666, 581, 5645, 856, 609, 1585, 5061, 4470, 593, 519, 5169, 543, 1826, 540, 12263, 563, 1432, 568, 27777, 24763, 888, 2005, 814, 1044, 513, 5312, 2068, 602, 666, 1831, 12982, 1813, 547, 519, 11636, 5957, 540, 20162, 543, 10549, 269, 634, 10549, 602, 616, 4299, 6336, 10688, 267, 1831, 632, 11526, 543, 2014, 1928, 269, 898, 568, 519, 1034, 1455, 18212, 9964, 2068, 538, 519, 11361, 563, 11795, 3720, 1063, 12263, 543, 30169, 454, 268, 27777, 24763, 568, 513, 28115, 894, 543, 1875, 13611, 2068, 269, 634, 20162, 538, 519, 10549, 28115, 919, 543, 31273, 2476, 4929, 519, 7633, 547, 6299, 269, 898, 4386, 538, 1004, 609, 4719, 3676, 602, 1860, 24561, 5160, 563, 268, 1488, 9374, 568, 6553, 540, 519, 10549, 269, 634, 4745, 568, 22224, 543, 7959, 3905, 547, 519, 5905, 269, 898, 666, 581, 3361, 676, 1585, 16991, 3676, 563, 268, 1548, 568, 519, 3017, 1063, 10089, 574, 807, 543, 1323, 24803, 286, 4270, 6045, 454, 268, 1548, 568, 519, 3017, 1063, 1981, 543, 8594, 286, 4270, 6045, 454, 268, 1548, 568, 519, 3017, 1063, 10684, 543, 2405, 1709, 888, 268, 1548, 568, 519, 3017, 1063, 7553, 543, 4743, 286, 4270, 6045, 454, 268, 1548, 568, 519, 3017, 1063, 5027, 543, 10717, 286, 4270, 6045 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17524, 1648, 568, 5150, 267, 952, 519, 2197, 8060, 610, 6971, 922, 13829, 593, 5007, 7727, 540, 1875, 516, 2908, 762, 2200, 269, 901, 568, 513, 1434, 2601, 547, 6443, 519, 5859, 585, 513, 2973, 543, 1863, 1648, 2104, 563, 291, 3041, 4696, 309, 19611, 17803, 5508, 654, 18853, 300, 21135, 454, 2171, 3494, 602, 4376, 602, 814, 606, 5413, 1590, 15983, 594, 723, 513, 19319, 269, 1924, 1631, 568, 547, 1413, 883, 519, 11393, 540, 6489, 17524, 543, 789, 1331, 3248, 268, 589, 2842, 17524, 568, 7199, 281, 634, 4070, 540, 6489, 17524, 568, 7199, 1317, 519, 1942, 540, 10380, 543, 6718, 568, 1164, 693, 519, 3355, 942, 269, 634, 11653, 602, 12220, 519, 1858, 1354, 10380, 607, 1134, 267, 6283, 547, 519, 1747, 540, 946, 267, 10380, 267, 543, 824, 3157, 547, 3035, 922, 1264, 28467, 269, 2353, 891, 1500, 2842, 17524, 1360, 7199, 267, 4352, 519, 1942, 568, 4227, 519, 1249, 3788, 602, 621, 568, 7199, 563, 268, 634, 2842, 11385, 919, 281, 4014, 2842, 1648, 25579, 8460, 543, 538, 1410, 9151, 1043, 267, 621, 568, 1869, 711, 3586, 607, 519, 3432, 2242, 689, 942, 547, 942, 269, 901, 13514, 513, 1966, 547, 519, 2842, 17524, 4929, 621, 547, 1685, 28537, 569, 563, 268, 589, 2842, 17524, 568, 26776, 281, 538, 607, 1454, 607, 2842, 17524, 1281, 711, 3542, 1393, 519, 2011, 609, 6757, 3653, 267, 621, 3542, 2373, 519, 1604, 609, 6846, 269, 901, 6846, 814, 1831, 513, 1390, 4161, 547, 9082, 23493, 1472, 621, 1317, 519, 3280, 12599, 607, 2484, 607, 476, 1911, 332, 2476, 269, 901, 568, 519, 2601, 585, 519, 10380, 540, 2842, 332, 1571, 593, 10239, 543, 1055, 519, 7470, 563, 2690, 607, 1279, 607, 519, 3618, 3788, 5180, 543, 18343, 267, 2842, 666, 2760, 581, 25356, 269, 6489, 17524, 814, 2097, 513, 1360, 1279, 1259, 2479, 2094, 621, 779, 1101, 946, 269, 634, 2413, 8441, 593, 2842, 17524, 1118, 621, 606, 13476, 7874, 2655, 15856, 550, 585, 10173, 538, 519, 2504, 540, 5201, 563, 20360, 1379, 814, 1831, 835, 540, 519, 1655, 2081, 547, 4194, 519, 1158, 779, 2810, 1648, 3747, 1317, 519, 2842, 568, 2973, 267, 1875, 3562, 13877, 267, 538, 1410, 9151, 1043, 267, 543, 1863, 563, 763, 1158, 814, 1044, 998, 1082, 2825, 10898, 998, 19713, 1648, 689, 8093, 10173, 543, 6046, 6547, 269, 1284, 616, 593, 513, 1291, 585, 513, 2973, 543, 1863, 1648, 2104, 269, 15012, 938, 5859, 585, 513, 2973, 543, 1863, 1648, 2104, 998, 2069, 543, 5092, 538, 7791, 1648, 2200, 269, 6178, 909, 547, 938, 20394, 547, 4309, 10311, 593, 7791, 1648, 2200, 269, 2793, 296, 295, 4596, 307, 17248, 0, 1692, 798, 596, 16174, 1948, 325, 3287, 6661, 630, 343, 268, 272, 19422, 343, 266, 272, 8203, 274, 258, 1210, 519, 23479, 4341, 888, 8794, 519, 23479, 4341, 267, 596, 949, 1577, 454, 1103, 1931, 547, 4194, 713, 596, 1131, 946, 454, 8245, 2952, 267, 519, 5832, 4341, 666, 581, 1031, 865, 602, 454, 6518, 267, 1310, 9750, 21591, 3086, 609, 519, 1702, 540, 519, 16755, 540, 579, 543, 642, 267, 596, 666, 16174, 519, 1599, 1210, 519, 23479, 4341, 676, 2655, 23082, 538, 519, 642, 543, 579, 2418, 912, 5475, 28976, 267, 713, 3947, 912, 7617, 568, 707, 3803, 2626, 269, 0, 5591, 835, 814, 2479, 20335, 998, 2852, 1510, 2348, 547, 1353, 269, 1284, 782, 723, 938, 1114, 1797, 267, 855, 835, 1455, 1259, 568, 998, 519, 946, 540, 15460, 563, 14503, 1662, 6486, 616, 513, 942, 2389, 6479, 1353, 3926, 602, 814, 960, 585, 513, 2601, 282, 621, 779, 2241, 269, 1411, 2328, 513, 2165, 593, 835, 2427, 543, 593, 519, 1394, 596, 2328, 621, 779, 4214, 267, 1287, 596, 27125, 543, 10956, 2394, 596, 3893, 782, 540, 707, 2474, 1287, 596, 695, 28984, 543, 1353, 563, 19138, 19990, 568, 513, 1863, 813, 602, 666, 543, 786, 5372, 782, 540, 707, 15460, 543, 3362, 5595, 952, 711, 17784, 707, 4398, 950, 4974, 563, 14881, 12517, 554, 730, 602, 713, 813, 4769, 1406, 2291, 4505, 950, 594, 729, 513, 4195, 2006, 2223, 1767, 24138, 700, 2967, 267, 476, 2918, 267, 3203, 11683, 267, 620, 30282, 454, 2005, 779, 2653, 1107, 596, 666, 946, 621, 593, 707, 7193, 19072, 659, 543, 2253, 17511, 856, 2474, 543, 8847, 593, 2901, 2427, 563, 763, 813, 12662, 782, 540, 891, 6486, 883, 513, 17835, 585, 1022, 1641, 543, 596, 666, 1569, 873, 593, 1022, 540, 707, 5348, 1027, 3457, 563, 5629, 596, 723, 873, 267, 519, 813, 666, 695, 28984, 873, 585, 596, 267, 1711, 513, 2789, 3903, 1449, 1759, 1055, 1018, 596, 5206, 610, 2241, 7688, 596, 538, 513, 4351, 610, 840, 5498, 21124, 1931, 593, 707, 6486, 563, 4002, 1283, 540, 782, 713, 519, 813, 2636, 596, 547, 2671, 891, 15597, 609, 4896, 2921, 513, 2147, 1362, 267, 2671, 873, 1152, 609, 707, 2828, 267, 610, 1175, 1832, 873, 4625, 4357, 547, 596, 563, 2108, 7069, 17511, 3432, 568, 3362, 476, 275, 610, 476, 276, 2053, 5488, 982, 1250, 1603, 3432, 267, 865, 1818, 8755, 6486, 729, 2706, 2653, 543, 4769, 1406, 10413, 2223, 1767, 31611, 700, 18319, 267, 476, 2190, 563, 15371, 596, 2461, 513, 5884, 3620, 731, 2875, 945, 11339, 1524, 3388, 14311, 998, 4050, 543, 1957, 267, 610, 513, 2875, 945, 1152, 6770, 741, 15291, 547, 1153, 267, 596, 991, 547, 1491, 4967, 267, 543, 713, 1223, 1118, 602, 3003, 1184, 1454, 4443, 543, 5488, 563, 10214, 952, 1603, 835, 779, 1378, 15460, 3085, 1406, 3100, 13267, 972, 568, 1869, 1776, 2460, 547, 713, 813, 563, 3080, 666, 19584, 998, 6634, 540, 1164, 1153, 267, 2852, 1256, 18544, 1377, 5049, 543, 1265, 15460, 1866, 723, 1500, 2139, 547, 519, 1857, 563, 18455, 2111, 547, 1353, 4977, 1570, 1510, 2348, 547, 979, 998, 519, 1928, 540, 4466, 782, 519, 1318, 4267, 3217, 513, 5458, 4452, 1055, 540, 1022, 2875, 563, 14881, 6557, 513, 1434, 1268, 865, 594, 2356, 1131, 1175, 1131, 4734, 1250, 15460, 594, 1500, 2139, 547, 4896, 945, 4941, 547, 946, 873, 2223, 1767, 476, 736, 4458, 6040, 8642, 1374, 2101, 24697, 31513, 269, 0, 2108, 8893, 476, 276, 11819, 7698, 281, 634, 28527, 1280, 628, 540, 519, 3883, 540, 30963, 2223, 25043, 540, 519, 26198, 11819, 7698, 630, 1001, 280, 994, 2108, 8893, 476, 276, 11819, 7698, 2223, 25043, 540, 519, 26198, 11819, 7698, 454, 11514, 2452, 513, 4605, 540, 5651, 18223, 30565, 532, 519, 10824, 563, 16485, 1053, 547, 4766, 1018, 789, 917, 827, 1018, 568, 8345, 538, 519, 4605, 269, 1411, 1522, 849, 2307, 1018, 789, 1589, 5651, 18223, 6785, 827, 519, 1764, 519, 2594, 1131, 723, 593, 2104, 5481, 563, 1103, 341, 924, 1053, 547, 1224, 30963, 476, 279, 281, 1321, 1700, 1626, 267, 3168, 585, 1018, 5651, 18223, 6026, 827, 519, 4947, 8521, 540, 519, 3883, 540, 30963, 563, 1432, 1705, 5651, 18223, 1616, 547, 1118, 2312, 827, 519, 4947, 8521, 540, 519, 3883, 540, 30963, 888, 11514, 2452, 519, 1739, 3948, 676, 9478, 8055, 602, 646, 1419, 7368, 950, 4280, 827, 519, 3883, 540, 30963, 8144, 912, 296, 1705, 14377, 519, 3883, 540, 30963, 676, 519, 10516, 543, 1379, 540, 2696, 269, 630, 297, 24944, 8055, 267, 538, 6276, 6022, 1067, 267, 4750, 267, 476, 4037, 267, 5783, 3778, 7732, 267, 634, 5783, 540, 4906, 2441, 540, 700, 2660, 6377, 29513, 267, 17865, 8235, 4975, 267, 18096, 282, 3854, 1436, 2413, 1242, 994, 1103, 341, 924, 1053, 547, 2671, 1018, 789, 4362, 538, 519, 7041, 1570, 827, 875, 519, 3883, 540, 30963, 3357, 8521, 968, 2421, 519, 10516, 543, 1379, 540, 2696, 1848, 630, 2252, 2877, 267, 5000, 1053, 547, 13713, 2689, 3296, 476, 272, 540, 519, 7041, 1570, 4700, 1411, 1223, 849, 16436, 873, 547, 2307, 1022, 2055, 789, 1522, 723, 689, 741, 1353, 827, 519, 8144, 540, 519, 3883, 540, 30963, 563, 1103, 341, 924, 1053, 547, 2689, 1018, 789, 4121, 689, 519, 6898, 676, 9478, 8055, 543, 26744, 3026, 531, 589, 269, 7665, 6202, 693, 519, 1439, 540, 3296, 476, 272, 540, 519, 7041, 1570, 269, 630, 2791, 949, 1616, 547, 16436, 513, 2875, 547, 1224, 891, 6898, 16965, 8094, 3963, 798, 596, 1589, 649, 1058, 581, 811, 7255, 609, 519, 968, 11357, 560, 766, 540, 519, 1433, 892, 982, 968, 5976, 519, 1184, 676, 799, 649, 4607, 621, 892, 888, 16485, 1053, 875, 1082, 540, 873, 1131, 899, 547, 1294, 519, 4154, 10824, 585, 2933, 543, 1946, 563, 3963, 798, 596, 1589, 519, 7083, 1281, 711, 6961, 519, 13597, 540, 519, 3883, 540, 30963, 676, 3850, 519, 10824, 543, 824, 13742, 547, 581, 3254, 547, 519, 1158, 888, 1103, 341, 924, 1053, 547, 1224, 1684, 551, 9068, 543, 595, 8576, 1218, 476, 276, 281, 274, 267, 476, 277, 1700, 278, 267, 3168, 585, 1946, 9478, 1705, 711, 1397, 519, 10824, 547, 1346, 945, 4941, 6169, 269, 5620, 1053, 2491, 1018, 519, 18627, 4001, 563, 23737, 602, 713, 13414, 729, 2016, 547, 9478, 607, 513, 1267, 540, 9410, 20831, 6998, 585, 513, 7198, 602, 9478, 1185, 519, 4154, 10824, 269, 9410, 729, 9478, 779, 3659, 543, 1185, 519, 2883, 2702, 547, 948, 15476, 519, 3883, 540, 30963, 2899, 621, 729, 12261, 269, 9410, 779, 7385, 267, 21667, 267, 9411, 513, 24255, 547, 519, 2199, 4012, 626, 3433, 267, 934, 6748, 9478, 540, 1219, 571, 24851, 1200, 9393, 543, 1866, 585, 2883, 2744, 269, 769, 4728, 476, 9264, 280, 9410, 4682, 547, 24442, 267, 12425, 267, 547, 2307, 9478, 8055, 585, 2963, 540, 519, 10824, 685, 6228, 563, 1103, 341, 924, 1053, 547, 1224, 1684, 551, 9068, 543, 595, 8576, 1218, 476, 276, 281, 1556, 1700, 1428, 267, 3168, 585, 835, 1259, 519, 7083, 1131, 3715, 519, 5168, 540, 519, 3883, 540, 30963, 2594, 269, 9105, 1053, 547, 2491, 1018, 789, 1451, 689, 891, 18627, 563, 23737, 602, 519, 7083, 7000, 602, 9410, 20831, 1223, 581, 835, 540, 519, 8422, 654, 5893, 525, 952, 646, 1131, 968, 11312, 1524, 892, 543, 968, 327, 18443, 5128, 538, 22800, 11755, 543, 5132, 892, 630, 2710, 551, 9068, 543, 595, 8576, 1218, 476, 276, 281, 2190, 1040, 8422, 3275, 2663, 9478, 14376, 9410, 20831, 547, 6443, 20182, 21582, 1457, 344, 543, 6424, 18724, 1067, 538, 5275, 519, 2027, 7198, 519, 7083, 1185, 16219, 563, 11514, 2452, 519, 4605, 540, 9478, 8055, 543, 519, 8422, 654, 5893, 525, 689, 519, 7041, 1570, 267, 543, 2307, 519, 1362, 547, 22281, 1018, 5949, 950, 891, 2367, 7281, 539, 585, 513, 7198, 540, 519, 10824, 563, 1692, 1705, 9478, 1745, 827, 519, 8422, 654, 5893, 525, 7487, 519, 10824, 286, 630, 2252, 2877, 267, 723, 1053, 2689, 21667, 27963, 8055, 779, 2272, 538, 519, 7041, 1570, 8094, 1692, 568, 519, 21981, 540, 519, 8422, 654, 5893, 525, 22541, 676, 519, 1249, 602, 789, 2760, 17792, 741, 7198, 267, 1256, 950, 1142, 540, 873, 729, 1609, 337, 6548, 689, 519, 21024, 543, 519, 5783, 888, 1103, 341, 924, 1053, 547, 1224, 1684, 551, 9068, 543, 595, 8576, 1218, 476, 276, 281, 1428, 1700, 1626, 543, 5651, 18223, 476, 1015, 281, 274, 1700, 276, 267, 3168, 585, 875, 782, 1004, 666, 2744, 513, 7198, 540, 519, 5168, 6888, 540, 519, 3883, 540, 30963, 269, 1306, 1053, 2491, 1018, 789, 4121, 689, 891, 27403, 15102, 267, 948, 873, 2697, 513, 6240, 2147, 547, 519, 1739, 281, 634, 7083, 786, 8915, 519, 5168, 6888, 540, 519, 3883, 540, 30963, 998, 519, 10513, 26415, 547, 782, 945, 3343, 513, 7198, 563, 1692, 1281, 513, 7198, 689, 519, 10513, 26415, 5635, 609, 2168, 2963, 267, 899, 7487, 519, 10824, 610, 2348, 513, 2347, 1702, 540, 782, 540, 519, 3877, 540, 519, 3883, 540, 30963, 8144, 888, 1103, 341, 924, 513, 2875, 547, 1224, 16965, 519, 1739, 1650, 689, 19656, 570, 611, 681, 269, 11910, 3563, 267, 5449, 4937, 10732, 3427, 5518, 912, 3080, 540, 1250, 1434, 543, 6505, 2828, 2451, 519, 5783, 585, 513, 942, 269, 1261, 5063, 5206, 547, 803, 540, 1010, 2132, 281, 968, 22873, 6053, 267, 594, 4941, 519, 3883, 540, 30963, 547, 581, 8810, 547, 803, 13840, 267, 32321, 267, 8059, 12264, 267, 543, 15520, 269, 1809, 950, 594, 4957, 1250, 1445, 547, 1018, 621, 11414, 827, 519, 22258, 540, 4906, 2441, 543, 3571, 9494, 5692, 267, 594, 3459, 547, 2744, 513, 21981, 540, 922, 5168, 6888, 269, 2290, 1554, 1247, 2542, 519, 3883, 540, 30963, 538, 1250, 4055, 267, 594, 17328, 4310, 267, 5679, 3881, 1524 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5215, 540, 3059, 14676, 267, 8642, 9089, 267, 543, 30841, 1765, 2190, 3108, 513, 1554, 267, 476, 278, 2395, 513, 3018, 269, 3143, 6585, 267, 1100, 7227, 8638, 267, 543, 1100, 24228, 7182, 269, 634, 8866, 14635, 1152, 10525, 1543, 19040, 676, 22383, 9578, 607, 834, 14399, 257, 630, 30747, 7124, 1700, 22706, 476, 274, 282, 12698, 476, 276, 1700, 278, 1070, 834, 27736, 257, 630, 294, 10232, 476, 274, 1700, 276, 282, 12698, 476, 278, 1700, 1015, 1070, 543, 834, 5938, 523, 257, 630, 294, 10232, 476, 277, 1700, 279, 282, 12698, 476, 1556, 1700, 1691, 1916, 5319, 2809, 19957, 1569, 547, 5215, 540, 3059, 14676, 267, 8642, 9089, 267, 543, 30841, 1765, 2190, 3108, 513, 1554, 267, 476, 278, 2395, 513, 3018, 269, 3143, 6585, 267, 1100, 7227, 8638, 267, 543, 1100, 24228, 7182, 563, 31416, 325, 2224, 6435, 3086, 568, 606, 782, 2987, 14633, 24194, 540, 23468, 2533, 2966, 585, 513, 2647, 2039, 540, 4081, 2115, 1765, 31347, 621, 779, 21365, 513, 9157, 6780, 1966, 267, 13215, 513, 1880, 1888, 267, 610, 1603, 513, 1957, 269, 634, 11020, 325, 2224, 2407, 28129, 1449, 4099, 3091, 2259, 4255, 585, 782, 2157, 538, 2979, 267, 2542, 267, 543, 1603, 607, 1134, 607, 2852, 4549, 2218, 4255, 267, 1519, 519, 20389, 269, 14970, 23468, 7886, 616, 2139, 3232, 476, 273, 1700, 1556, 6751, 29643, 563, 9989, 707, 1153, 946, 590, 7702, 267, 519, 2875, 2542, 813, 689, 3683, 20142, 633, 286, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 2910, 300, 12903, 1299, 16998, 4338, 295, 2975, 715, 10976, 30600, 1315, 5101, 7489, 13910, 1315, 631, 18553, 1315, 594, 572, 330, 2967, 1315, 8466, 594, 572, 330, 2967, 674, 4288, 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 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15425, 310, 303, 264, 476, 1556, 6515, 32074, 267, 543, 15672, 15466, 1377, 540, 4187, 563, 11045, 11915, 10049, 11045, 11915, 3758, 476, 272, 281, 26929, 531, 30166, 8132, 269, 3105, 12326, 1040, 14644, 338, 1210, 891, 9479, 786, 849, 581, 1318, 1631, 6035, 609, 713, 19169, 607, 12754, 3009, 476, 272, 269, 17593, 634, 5589, 288, 3940, 32427, 919, 519, 10408, 3210, 547, 5027, 3441, 3842, 922, 2789, 4247, 538, 519, 9190, 24696, 476, 273, 590, 5308, 3210, 269, 6184, 11211, 24696, 476, 273, 2645, 5356, 796, 3711, 27631, 6165, 540, 519, 1082, 5589, 288, 2829, 3330, 519, 1591, 4865, 15286, 1702, 540, 519, 8901, 543, 13796, 11941, 538, 5589, 288, 5943, 270, 10818, 602, 896, 12340, 1852, 540, 519, 2800, 3210, 269, 9406, 1934, 267, 649, 1711, 513, 1395, 9593, 545, 595, 3856, 1400, 23650, 689, 519, 1065, 31395, 1373, 513, 1433, 24638, 16785, 602, 3226, 25998, 609, 5589, 288, 2083, 14613, 593, 2582, 3613, 8681, 539, 5027, 630, 13434, 288, 265, 1040, 17266, 2173, 1961, 9908, 9196, 2553, 538, 2661, 2281, 6542, 602, 5589, 288, 568, 7363, 3524, 652, 1229, 538, 4859, 2230, 3889, 1282, 2834, 10307, 7361, 269, 16270, 5027, 2800, 267, 519, 4859, 2230, 5656, 23271, 607, 1134, 607, 519, 11118, 657, 4301, 7535, 540, 5589, 288, 7576, 919, 547, 1711, 2038, 590, 5308, 1606, 793, 2718, 23838, 3533, 267, 1319, 1005, 883, 5027, 27995, 5589, 288, 15985, 956, 693, 19952, 1974, 2188, 269, 5637, 1354, 543, 1310, 590, 5308, 15632, 267, 5589, 288, 265, 5526, 538, 6753, 30218, 689, 4562, 529, 2345, 7361, 269, 16270, 3932, 540, 4368, 267, 5589, 288, 4859, 5656, 6963, 269, 5444, 568, 7363, 909, 29970, 4557, 24670, 1369, 513, 1906, 3764, 630, 290, 1830, 331, 548, 1696, 620, 1421, 476, 1220, 272, 282, 11412, 345, 8291, 1696, 620, 1421, 476, 1220, 276, 1040, 4635, 6375, 739, 8724, 267, 519, 26134, 3099, 540, 5589, 288, 538, 3768, 600, 3042, 2281, 5170, 547, 581, 6059, 547, 1831, 827, 476, 10384, 271, 290, 1428, 267, 1822, 829, 1591, 267, 9870, 547, 476, 1911, 267, 1822, 829, 1591, 2390, 24254, 519, 5027, 1673, 600, 720, 3210, 630, 289, 10796, 665, 336, 1696, 620, 1421, 476, 1960, 278, 282, 853, 2129, 331, 1696, 620, 1421, 476, 1220, 274, 1040, 10439, 1436, 540, 595, 3856, 1400, 717, 17025, 535, 16272, 540, 3552, 15178, 543, 30354, 27586, 5116, 2047, 896, 519, 6805, 3260, 518, 538, 4865, 20114, 602, 5589, 288, 3029, 535, 1539, 538, 2281, 630, 299, 6856, 4802, 1696, 620, 1421, 476, 1001, 275, 282, 11412, 345, 8291, 1696, 620, 1421, 476, 1220, 276, 282, 11412, 345, 8291, 1696, 620, 1421, 476, 1220, 278, 1040, 28604, 689, 519, 2199, 3074, 2938, 538, 891, 4255, 5170, 547, 581, 6531, 539, 676, 1614, 2042, 281, 630, 272, 264, 5589, 288, 535, 16272, 547, 24638, 5946, 4865, 9846, 3366, 547, 5946, 609, 8766, 1599, 630, 295, 7701, 1696, 620, 1421, 476, 1220, 280, 282, 11412, 345, 8291, 1696, 620, 1421, 476, 1220, 276, 1070, 6721, 7664, 689, 519, 2199, 3074, 20114, 676, 891, 28562, 5946, 7294, 3810, 269, 630, 273, 264, 901, 2339, 568, 2417, 4101, 676, 519, 4890, 1249, 602, 24638, 3940, 2356, 798, 711, 960, 607, 16931, 16776, 543, 786, 1764, 29296, 31338, 538, 24696, 476, 273, 9190, 2281, 630, 294, 327, 617, 651, 1696, 620, 1421, 476, 1001, 277, 282, 744, 15120, 1735, 990, 1696, 620, 1421, 476, 1001, 277, 1040, 15742, 569, 267, 5589, 288, 28562, 609, 717, 17025, 267, 962, 17025, 543, 544, 305, 17025, 26857, 1114, 2199, 3074, 538, 3210, 547, 5027, 2800, 630, 298, 573, 2033, 543, 3400, 30977, 267, 476, 1220, 276, 1040, 1452, 2152, 2356, 798, 711, 12446, 1373, 513, 8710, 2094, 1312, 715, 268, 543, 595, 3856, 1400, 7475, 616, 1271, 585, 5589, 288, 1599, 543, 31338, 630, 292, 1375, 2401, 20793, 4596, 273, 288, 272, 1696, 620, 1421, 476, 1220, 274, 282, 700, 639, 31899, 1696, 620, 1421, 476, 1220, 274, 321, 282, 700, 639, 31899, 1696, 620, 1421, 476, 1220, 274, 320, 282, 14076, 754, 1090, 1696, 620, 1421, 476, 1001, 276, 1040, 630, 274, 264, 2311, 2547, 630, 298, 573, 2033, 543, 3400, 30977, 267, 476, 1220, 276, 1040, 5589, 288, 15985, 956, 1106, 1310, 590, 5308, 15632, 676, 3606, 1797, 982, 5595, 3613, 8681, 9397, 267, 543, 849, 1287, 2170, 609, 606, 31020, 8485, 30649, 1749, 538, 519, 6418, 9245, 630, 294, 541, 3272, 1696, 620, 1421, 476, 2735, 276, 282, 14076, 754, 1090, 1696, 620, 1421, 476, 1001, 276, 1040, 634, 5920, 540, 28608, 5589, 288, 265, 535, 1539, 1310, 2126, 609, 22292, 286, 263, 10013, 21663, 2784, 2747, 814, 711, 2141, 1044, 2404, 609, 10189, 5250, 630, 305, 20044, 8291, 1696, 620, 1421, 476, 1220, 278, 1040, 898, 1058, 581, 5018, 602, 6466, 32234, 540, 5589, 288, 4767, 723, 1044, 1585, 569, 5219, 547, 607, 2083, 14613, 267, 16060, 610, 15985, 956, 267, 741, 19359, 547, 519, 7422, 540, 5589, 288, 27960, 5219, 547, 607, 22203, 610, 15985, 956, 3788, 15458, 269, 9603, 547, 519, 1644, 19916, 540, 519, 28264, 6771, 16109, 689, 891, 3875, 5027, 27995, 11808, 610, 5027, 6954, 4859, 25481, 267, 751, 2084, 856, 6384, 540, 1367, 11808, 23838, 538, 2661, 2281, 3091, 8810, 2182, 269, 634, 3908, 2934, 540, 5589, 288, 12760, 5946, 8246, 547, 1554, 849, 12651, 2152, 827, 519, 2078, 540, 519, 4767, 3889, 547, 3339, 5589, 288, 1599, 269, 11153, 4909, 2055, 2611, 796, 753, 26833, 281, 1879, 543, 1141, 1281, 590, 5308, 15202, 4755, 538, 2281, 286, 1215, 568, 9090, 4430, 5589, 288, 6740, 286, 769, 713, 960, 267, 649, 4766, 519, 1646, 540, 513, 16785, 602, 4481, 3308, 3278, 5589, 288, 25481, 593, 5027, 267, 543, 2322, 621, 547, 946, 607, 851, 540, 513, 6626, 4674, 547, 1683, 513, 2143, 942, 1899, 540, 5589, 288, 7293, 18294, 538, 2713, 2281, 1310, 5027, 3441, 269, 2060, 519, 6662, 540, 28729, 2199, 1944, 5027, 27995, 543, 21085, 19840, 17300, 5589, 288, 265, 607, 513, 1883, 11808, 13591, 3330, 2713, 2281, 267, 649, 3812, 513, 1395, 9593, 545, 267, 10776, 21154, 21549, 715, 3856, 1400, 959, 15635, 566, 540, 519, 3566, 328, 21301, 1065, 31395, 16275, 630, 332, 5746, 663, 630, 290, 1830, 331, 548, 1696, 620, 1421, 476, 1220, 272, 1040, 5221, 2504, 540, 5589, 288, 4523, 6385, 1310, 3441, 267, 621, 568, 2565, 547, 7747, 2661, 2281, 693, 2038, 942, 2798, 609, 1164, 13796, 6571, 1310, 590, 5308, 15632, 269, 7046, 538, 513, 5094, 6885, 7089, 476, 272, 269, 5589, 288, 3029, 1114, 29296, 25481, 538, 3210, 547, 11158, 23735, 2747, 15301, 288, 264, 3117, 7185, 9059, 2450, 585, 590, 5308, 15632, 269, 0, 2080, 779, 875, 547, 2328, 593, 513, 14735, 865, 596, 666, 1711, 10875, 28916, 585, 2027, 14026, 269, 1677, 1205, 3323, 593, 519, 1318, 3723, 267, 11453, 909, 593, 875, 547, 15470, 513, 14735, 519, 2653, 543, 17715, 1259, 269, 634, 6396, 1284, 24805, 269, 1280, 1655, 2164, 267, 649, 4363, 1210, 513, 10398, 532, 9126, 543, 9133, 547, 2328, 593, 707, 14735, 269, 1411, 666, 946, 1022, 5180, 9133, 547, 2328, 707, 5022, 267, 1498, 4130, 4388, 949, 1118, 621, 2352, 547, 12347, 563, 8794, 9253, 1540, 28688, 547, 2328, 593, 513, 14735, 269, 3767, 602, 649, 723, 513, 13409, 4712, 282, 649, 1131, 9090, 991, 513, 5420, 609, 799, 649, 1131, 2328, 269, 1703, 616, 1614, 3681, 585, 519, 1482, 281, 476, 272, 269, 9253, 1540, 28688, 476, 273, 269, 19643, 920, 600, 476, 274, 269, 717, 534, 5995, 269, 1809, 1577, 779, 581, 9237, 649, 607, 1753, 536, 5474, 1131, 711, 581, 2348, 7423, 920, 600, 610, 575, 534, 5995, 693, 782, 2053, 538, 938, 1753, 269, 24641, 10217, 568, 1945, 602, 568, 3362, 2139, 543, 11593, 563, 1692, 547, 3503, 593, 513, 595, 820, 609, 10815, 670, 817, 548, 269, 3239, 3842, 281, 12368, 629, 599, 269, 2991, 3257, 513, 2603, 540, 8026, 267, 596, 616, 1631, 4712, 547, 798, 930, 4890, 10398, 532, 593, 602, 14735, 269, 7427, 891, 4388, 593, 875, 547, 2328, 593, 513, 14735, 609, 1447, 31484, 548, 269, 1306, 649, 4076, 5892, 15695, 267, 621, 779, 1655, 547, 1376, 609, 513, 25777, 13944, 607, 606, 23153, 14735, 7718, 1807, 269, 595, 27641, 23935, 616, 811, 563, 2690, 519, 2656, 652, 1259, 547, 3501, 1603, 593, 25394, 1246, 6337, 476, 272, 268, 280, 2059, 609, 519, 5528, 2630, 269, 476, 272, 269, 3503, 606, 9904, 26821, 6656, 538, 2462, 2596, 3109, 4580, 2511, 5022, 269, 700, 3133, 622, 610, 2322, 519, 6656, 538, 513, 2312, 5068, 3561, 17835, 865, 596, 666, 26763, 519, 476, 6005, 1055, 543, 946, 621, 936, 543, 936, 1586, 269, 476, 273, 269, 654, 6559, 519, 9133, 540, 596, 8546, 1354, 596, 2253, 17065, 4506, 519, 476, 6005, 856, 269, 3399, 676, 15700, 519, 563, 2414, 2328, 610, 2721, 3515, 267, 3180, 519, 9126, 693, 513, 476, 3393, 4110, 5086, 267, 513, 2370, 2476, 689, 519, 2627, 267, 25837, 519, 476, 6005, 856, 609, 513, 3586, 2604, 267, 543, 1577, 519, 1899, 540, 476, 6005, 2887, 6923, 883, 1747, 607, 596, 3391, 621, 269, 8347, 711, 547, 7485, 519, 10398, 532, 9126, 1354, 519, 476, 6005, 814, 1558, 519, 2627, 267, 607, 596, 3513, 1205, 606, 19514, 11098, 563, 303, 1575, 2812, 1223, 849, 1246, 853, 1030, 534, 779, 11600, 543, 1118, 519, 1482, 14735, 1927, 538, 1362, 269, 6206, 8609, 476, 273, 9105, 10453, 547, 11291, 519, 1883, 2934, 540, 14292, 1603, 543, 2328, 607, 1082, 607, 789, 666, 563, 2237, 1776, 14235, 585, 595, 820, 547, 2206, 593, 1010, 1259, 547, 519, 5428, 269, 5440, 9133, 256, 1411, 666, 1118, 707, 5152, 22565, 952, 596, 1616, 547, 267, 855, 621, 3085, 1406, 723, 547, 269, 5457, 547, 581, 607, 3860, 607, 596, 1616, 256, 1703, 781, 811, 563, 2237, 8745, 593, 17510, 1485, 595, 1389, 269, 21763, 547, 723, 707, 10531, 14512, 14735, 609, 707, 2012, 28562, 286, 4270, 267, 1287, 596, 723, 2097, 4010, 547, 519, 1318, 1747, 269, 5192, 707, 5172, 14512, 14735, 20386, 909, 609, 930, 8949, 14512, 14735, 10217, 547, 25940, 267, 21243, 14512, 14735, 21297, 779, 267, 5810, 267, 14512, 10217, 16853, 267, 543, 930, 540, 519, 1655, 4015, 540, 10217, 14512, 25394, 269, 1403, 596, 616, 563, 289, 9500, 1485, 543, 7788, 15208, 595, 820, 16103, 2060, 8745, 543, 16071, 2561, 269, 5131, 813, 547, 2328, 2012, 593, 14512, 25394, 543, 6337, 12575, 1907, 269, 3503, 31042, 543, 1225, 3272, 4408, 593, 25394, 267, 16858, 543, 6486, 609, 8666, 12575, 269, 5410, 2789, 6337, 593, 25394, 267, 6486, 543, 16858, 563, 5278, 6835, 786, 3274, 581, 1932, 1279, 547, 3514, 593, 513, 4130, 14735, 543, 930, 949, 1413, 1732, 593, 513, 2834, 6656, 14735, 982, 513, 9764, 14735, 269, 4746, 1832, 538, 2247, 519, 1268, 945, 519, 5048, 568, 585, 950, 1603, 621, 269, 1403, 596, 2461, 1603, 513, 14512, 5048, 585, 513, 2370, 7911, 267, 585, 3236, 267, 646, 1522, 711, 581, 513, 10178, 540, 11909, 1603, 256, 1403, 596, 2461, 1869, 711, 3833, 2386, 1018, 547, 2328, 593, 519, 14512, 14735, 267, 649, 4076, 563, 2419, 8981, 14735, 267, 29877, 14735, 267, 14512, 14735, 269, 1703, 666, 1405, 581, 2614, 540, 713, 6653, 1521, 256, 8281, 1863, 547, 946, 14735, 6337, 693, 623, 1410, 1564, 563, 2237, 8745, 593, 17510, 1485, 595, 820, 2060, 8745, 269, 3503, 8745, 593, 17510, 1485, 595, 820, 585, 2828, 543, 1920, 547, 1118, 741, 14512, 15813, 543, 2027, 269, 901, 568, 519, 4190, 10516, 596, 666, 2285, 2228, 269, 2637, 4733, 2659, 8745, 269, 2659, 8745, 3371, 263, 16655, 476, 736, 1347, 338, 264, 1635, 14467, 563, 1692, 547, 3503, 593, 513, 595, 820, 6145, 513, 1160, 269, 6258, 875, 547, 30164, 513, 14735, 899, 513, 2250, 787, 27697, 609, 2653, 4388, 585, 1022, 8317, 267, 1519, 4332, 17058, 267, 4271, 725, 267, 29636, 267, 543, 12311, 26204, 269, 962, 341, 517, 928, 3244, 12121, 14735, 7718, 908, 269, 595, 820, 5463, 528, 908, 9828, 595, 820, 5463, 528, 908, 20861, 338, 13648, 773, 5463, 528, 908, 5463, 528, 908, 595, 1389, 595, 820, 594, 1424, 9828, 595, 820, 5463, 32590, 11822, 595, 820, 5463, 528, 908, 19643, 920, 600, 595, 820, 5463, 528, 908, 29778, 532, 563, 1692, 547, 3503, 593, 595, 1389, 269, 5675, 593, 513, 14735, 3884, 1406, 607, 2182, 607, 621, 5654, 269, 7427, 891, 4388 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 899, 513, 6439, 559, 710, 541, 11523, 602, 24508, 519, 5580, 543, 1034, 21603, 2694, 540, 519, 2634, 543, 11225, 1141, 835, 19548, 21571, 5956, 543, 1141, 1776, 7475, 563, 4913, 267, 3564, 713, 6654, 1129, 7064, 547, 799, 649, 666, 1205, 513, 1360, 21603, 2856, 827, 519, 14169, 540, 519, 2634, 267, 952, 1018, 649, 1616, 547, 4983, 568, 519, 2497, 540, 1142, 540, 891, 2609, 267, 1919, 1205, 7294, 563, 10376, 21571, 568, 4988, 676, 513, 4494, 1572, 519, 19548, 16794, 630, 6518, 568, 519, 1034, 7298, 851, 540, 519, 2634, 543, 5526, 547, 581, 2407, 540, 32060, 543, 9663, 4900, 1070, 543, 713, 16794, 666, 581, 5258, 883, 1114, 6810, 2687, 547, 922, 1114, 3252, 543, 6753, 269, 901, 8760, 883, 21630, 2127, 1369, 1142, 540, 519, 19548, 8280, 7371, 12742, 2982, 721, 519, 6228, 540, 1896, 10981, 525, 540, 519, 2634, 269, 2913, 779, 1294, 875, 789, 616, 563, 299, 984, 525, 540, 519, 2634, 543, 741, 3252, 454, 1432, 649, 917, 607, 10981, 525, 540, 519, 2634, 5161, 540, 513, 8760, 676, 13602, 540, 519, 19548, 16794, 602, 2636, 11837, 519, 1292, 2127, 540, 8229, 2534, 269, 1452, 616, 711, 32753, 5094, 2127, 689, 1142, 824, 267, 855, 789, 616, 5266, 2653, 547, 10646, 835, 689, 519, 824, 952, 649, 1413, 693, 519, 26642, 543, 1114, 535, 1170, 999, 540, 519, 2634, 563, 4322, 13602, 616, 519, 10981, 525, 540, 519, 2634, 267, 543, 2630, 596, 666, 1224, 741, 1034, 2596, 3344, 267, 2921, 883, 2272, 602, 1142, 19548, 21571, 814, 519, 1482, 1297, 267, 2010, 543, 3892, 540, 10981, 525, 563, 272, 269, 674, 30613, 27914, 454, 15812, 539, 538, 4544, 538, 519, 3239, 563, 1103, 3425, 267, 621, 568, 519, 4102, 540, 519, 10981, 525, 540, 519, 2634, 269, 898, 568, 6353, 676, 922, 1909, 538, 519, 4393, 540, 1164, 7400, 5042, 3252, 971, 607, 4058, 267, 11558, 267, 11056, 543, 1852, 540, 2623, 269, 1635, 10137, 267, 621, 849, 6087, 3804, 4259, 267, 24736, 267, 13994, 1637, 540, 1893, 267, 543, 7939, 540, 4664, 563, 1103, 1840, 267, 519, 28882, 27914, 568, 4535, 519, 2702, 547, 1491, 1866, 883, 2272, 630, 26238, 621, 4831, 9711, 519, 3310, 540, 25372, 547, 14183, 938, 13821, 5612, 267, 538, 3870, 540, 1279, 3856, 3853, 264, 543, 3715, 3069, 540, 2247, 267, 799, 568, 938, 1378, 269, 2702, 547, 18505, 1919, 827, 519, 2790, 1533, 540, 1866, 269, 1280, 1383, 267, 1373, 3222, 602, 649, 917, 1945, 602, 1776, 1268, 1281, 711, 917, 568, 2009, 7064, 547, 519, 3069, 540, 2247, 563, 1103, 2110, 267, 713, 568, 835, 540, 519, 2634, 10981, 525, 609, 513, 811, 7986, 1909, 538, 519, 3252, 602, 649, 1131, 9305, 811, 2047, 547, 4987, 267, 4058, 543, 11558, 540, 1950, 17319, 3350, 9696, 269, 901, 851, 540, 519, 16794, 568, 6093, 540, 9451, 24260, 2831, 543, 568, 2523, 1804, 538, 11864, 2094, 713, 12105, 1895, 3568, 519, 1034, 10995, 2249, 593, 519, 4541, 563, 268, 2859, 593, 713, 27914, 538, 519, 1739, 2022, 281, 968, 1432, 568, 519, 28882, 27914, 543, 875, 1281, 621, 960, 18313, 273, 269, 623, 926, 13926, 27914, 454, 15812, 539, 538, 5835, 538, 519, 3239, 563, 2005, 568, 4092, 1063, 519, 28882, 543, 1624, 760, 1388, 10981, 525, 267, 543, 568, 5631, 3743, 585, 4393, 10444, 1344, 602, 2501, 689, 782, 2694, 540, 519, 1560, 267, 971, 607, 5905, 267, 519, 14815, 540, 2837, 267, 1928, 543, 2604, 267, 543, 568, 2111, 547, 9305, 713, 1344, 547, 519, 1297, 6284, 269, 898, 849, 2306, 3350, 1852, 2009, 7064, 547, 922, 16133, 547, 519, 4058, 7740, 540, 519, 28882, 27914, 563, 1103, 1840, 267, 621, 11392, 3308, 1344, 689, 519, 1624, 760, 1388, 27914, 543, 1568, 547, 1711, 12205, 1063, 713, 1826, 540, 1239, 543, 824, 11378, 689, 824, 2127, 563, 274, 269, 12769, 760, 1388, 27914, 454, 15812, 539, 538, 11909, 538, 519, 3239, 269, 769, 3425, 267, 621, 568, 519, 10545, 540, 519, 2185, 1292, 10981, 525, 540, 519, 2634, 543, 568, 4092, 538, 519, 17911, 1858, 540, 519, 15693, 267, 2282, 519, 562, 1901, 540, 519, 8405, 563, 2005, 568, 519, 1101, 1858, 540, 519, 683, 665, 29448, 547, 799, 3308, 1344, 10301, 1547, 4475, 267, 621, 814, 513, 2629, 1909, 538, 519, 6284, 540, 3615, 4171, 1769, 568, 15810, 593, 519, 22100, 267, 4352, 676, 3294, 621, 1281, 711, 723, 519, 2702, 547, 1711, 17396, 2592, 269, 1452, 2592, 616, 2813, 689, 519, 4393, 540, 891, 1239, 538, 2127, 540, 519, 2634, 1572, 3308, 7681, 2127, 563, 763, 1624, 760, 1388, 27914, 15920, 1344, 827, 5075, 547, 824, 10981, 525, 540, 519, 2634, 998, 1079, 1114, 2792, 9055, 563, 763, 1101, 540, 873, 267, 799, 4422, 547, 519, 28882, 1858, 540, 519, 2634, 998, 519, 5887, 1537, 1858, 630, 7474, 568, 267, 519, 835, 9663, 1492, 560, 689, 519, 5580, 1858, 540, 519, 2212, 1070, 3157, 1344, 827, 519, 968, 6343, 892, 540, 1018, 568, 2938, 267, 602, 568, 2073, 519, 1543, 540, 519, 5075, 563, 763, 2034, 8756, 267, 799, 4422, 547, 519, 4395, 998, 519, 24725, 1858, 630, 333, 792, 519, 13862, 1070, 3157, 519, 968, 6011, 892, 543, 968, 3602, 892, 540, 1018, 568, 2938, 267, 602, 568, 267, 3344, 540, 3350, 543, 4087, 538, 513, 6626, 2796, 563, 275, 269, 7843, 1602, 531, 27914, 454, 15812, 539, 538, 3039, 538, 519, 3239, 563, 763, 13796, 10981, 525, 540, 1142, 21571, 616, 4092, 593, 519, 5011, 540, 519, 2634, 267, 11231, 23276, 543, 7923, 547, 519, 17633, 563, 5445, 4309, 1344, 689, 1082, 824, 2127, 543, 10981, 525, 540, 519, 2634, 543, 741, 3252, 723, 547, 798, 609, 3965, 543, 4806, 6284, 538, 1239, 689, 519, 12823, 269, 4475, 267, 621, 4249, 513, 1909, 538, 519, 6284, 540, 8188, 543, 9739, 267, 855, 849, 538, 519, 3965, 540, 1913, 563, 763, 1202, 3121, 568, 513, 851, 540, 519, 16794, 602, 568, 6456, 1063, 519, 1964, 540, 519, 10981, 525, 540, 519, 2634, 543, 267, 547, 1294, 621, 267, 621, 568, 2556, 547, 5094, 519, 13796, 543, 533, 926, 13926, 10981, 525, 689, 1142, 824, 269, 2334, 568, 1946, 621, 568, 1419, 711, 2808, 607, 835, 811, 27914, 563, 2005, 568, 7923, 547, 3889, 3743, 585, 1818, 519, 5920, 540, 4664, 2009, 267, 607, 621, 568, 5702, 4448, 547, 1082, 2127, 540, 519, 18215, 545, 1062, 267, 543, 568, 4440, 3743, 585, 1199, 11868, 1063, 891, 543, 519, 5042, 3157, 602, 1491, 1747, 538, 519, 1964, 540, 519, 10981, 525, 540, 519, 2634, 563, 268, 2051, 1578, 267, 19162, 328, 681, 1547, 282, 21701, 267, 20574, 681, 1547, 282, 681, 531, 8725, 267, 26573, 670, 1547, 282, 681, 531, 8725, 267, 32308, 269, 630, 1001, 271, 1040, 5096, 1749, 517, 779, 14362, 543, 6657, 540, 6925, 630, 2641, 560, 1196, 12175, 25470, 281, 26235, 12389, 7723, 1315, 29021, 269, 9768, 476, 7818, 268, 271, 268, 3583, 273, 271, 268, 28143, 276, 268, 278, 563, 268, 853, 1380, 267, 667, 307, 1299, 26427, 267, 21512, 630, 1001, 274, 1070, 14362, 540, 674, 30613, 700, 12786, 9577, 269, 1715, 3840, 281, 10228, 2160, 4964, 563, 268, 8065, 267, 3627, 630, 1001, 272, 1040, 24053, 2023, 543, 8065, 30930, 540, 6481, 25665, 630, 1321, 628, 1196, 12175, 15740, 267, 13698, 281, 590, 16184, 619, 1315, 29021, 269, 9768, 476, 7818, 268, 272, 268, 275, 1626, 271, 268, 3393, 278, 275, 268, 279, 563, 268, 4880, 614, 267, 674, 269, 630, 1001, 275, 1040, 25304, 540, 5274, 22845, 26451, 9906, 13693, 20308, 1323, 322, 650, 2456, 543, 20929, 630, 277, 628, 1196, 12175, 15740, 267, 24282, 1547, 281, 654, 289, 590, 16184, 619, 3213, 563, 268, 11709, 3647, 523, 267, 9823, 630, 20464, 476, 2537, 267, 476, 1960, 278, 1040, 968, 288, 8082, 2861, 3069, 540, 10641, 14003, 543, 11741, 11443, 538, 519, 3844, 8401, 1062, 6100, 7186, 269, 0, 268, 1548, 568, 519, 1909, 540, 519, 1857, 5823, 888, 268, 1215, 798, 596, 5581, 1857, 5823, 888, 268, 3657, 2706, 5658, 1115, 1857, 5823, 888, 268, 1772, 1250, 16108, 4357, 610, 1857, 5823, 888, 268, 1548, 616, 519, 2010, 540, 1857, 5823, 888, 268, 5808, 616, 1857, 5823, 4600, 888, 268, 1548, 568, 1857, 5823, 1383, 888, 268, 1215, 1082, 2010, 540, 1857, 5823, 16904, 616, 972, 888, 268, 1548, 616, 1806, 540, 1857, 2533, 888, 1432, 568, 519, 1909, 540, 519, 1857, 5823, 888, 14276, 5823, 2882, 782, 12204, 540, 2229, 630, 25218, 267, 1533, 543, 2199, 1916, 2005, 2488, 2596, 5370, 610, 2533, 602, 616, 2901, 711, 267, 610, 3112, 581, 267, 3177, 676, 519, 4357, 5823, 267, 585, 1383, 3506, 267, 9897, 267, 3092, 563, 14276, 5823, 11438, 1346, 2238, 602, 3112, 581, 8804, 676, 4357, 543, 1346, 1644, 547, 1514, 10304, 10756, 1692, 798, 596, 5581, 1857, 5823, 888, 1103, 2489, 2474, 267, 519, 1857, 5823, 5161, 540, 6608, 543, 782, 15597, 6417, 610, 15597, 14102, 8041, 267, 16904, 267, 543, 824, 9988, 602, 5838, 1857, 3292, 267, 5370, 267, 610, 2533, 563, 6701, 2706, 5658, 1115, 1857, 5823, 888, 7468, 10675, 5823, 14540, 267, 971, 607, 513, 2199, 3377, 26047, 610, 1804, 2706, 21466, 5832, 616, 11262, 543, 6417, 676, 4357, 2043, 269, 4256, 3119, 6663, 616, 547, 7639, 543, 1118, 513, 7443, 563, 3674, 1250, 16108, 4357, 610, 1857, 5823, 888, 763, 3119, 3017, 1063, 1857, 268, 543, 4357, 5498, 2758, 6009, 568, 602, 1857, 5498, 2758, 6009, 616, 3622, 1369, 513, 2229, 8116, 267, 15029, 4357, 5498, 2758, 6009, 616, 1346, 1141, 5520, 616, 2324, 585, 1875, 3766, 21194, 8041, 269, 2560, 6201, 540, 1857, 5498, 2758, 7694, 2127, 281, 2657, 543, 1416, 269, 9752, 563, 1432, 616, 519, 2010, 540, 1857, 5823, 888, 14276, 5823, 3906, 616, 4646, 538, 1614, 1114, 3029, 281, 4972, 531, 9333, 752, 902, 269, 5398, 14078, 23995, 520, 21881, 14078, 269, 6554, 2754, 16634, 23430, 531, 7201, 339, 752, 902, 269, 901, 568, 519, 9510, 1106, 540, 1857, 5823, 16904, 269, 2560, 5398, 15278, 270, 21809, 21881, 15278, 269, 2560, 6554, 14992, 563, 8005, 616, 1857, 5823, 4600, 888, 1432, 616, 1857, 5823, 6009, 286, 634, 1857, 5823, 1797, 4896, 945, 1568, 538, 2533, 610, 16904, 6417, 676, 519, 6554, 269, 4340, 547, 519, 8433, 585, 2817, 10803, 267, 972, 616, 811, 982, 476, 4968, 1114, 23909, 538, 519, 1857, 5823, 563, 1432, 568, 1857, 5823, 1383, 888, 21691, 823, 267, 4108, 267, 1857, 9897, 267, 1857, 18302, 543, 1857, 2069, 616, 1806, 540, 1857, 5823, 8041, 269, 5398, 16904, 543, 1875, 2889, 22327, 799, 267, 899, 8041, 267, 5838, 3292, 267, 5370, 610, 2533, 267, 855, 616, 4830, 540, 519, 2229, 543, 949, 723, 2959, 540, 8907, 538, 1840, 547, 1857, 7616, 563, 1692, 1082, 2010, 540, 1857, 5823, 16904, 616, 972, 888, 22764, 1114, 3029, 2467, 616, 1614, 1114, 3029, 540, 13539, 1031, 585, 519, 1857, 5823, 16904, 538, 3127, 269, 1452, 616, 630, 272, 264, 4972, 531, 7201, 339, 1136, 282, 630, 273, 264, 6465, 21881, 630, 528, 5398, 264, 15278, 267, 543, 630, 274, 264, 6554, 7577, 563, 1432, 616, 1806, 540, 1857, 2533, 888, 1103, 2413, 2919, 2477, 267, 519, 2165, 968, 21504, 2533, 892, 630, 528, 968, 338, 26236, 540, 2489, 1719, 14615, 1419, 2882, 281, 290, 712, 1206, 9950, 10431, 640, 9950, 3027, 566, 9950, 1067, 11765, 2533, 269, 20245, 4027, 269, 10890, 3249, 8160, 26090, 10422, 3016, 6283, 21457, 3688, 2507, 0, 7476, 5053, 22843, 8018, 17461, 269, 6258, 519, 23882, 9904, 689, 513, 547, 1990, 256, 6201, 540, 12332, 10023, 8755, 6486, 267, 544, 335, 274, 8301, 563, 5591, 3896, 814, 811, 606, 4367, 547, 519, 23882, 9904, 269, 901, 1863, 23882, 4976, 609, 723, 596, 10122, 1472, 707, 1753, 547, 1265, 856, 23882, 9904, 5750, 281, 6423, 811, 2093, 827, 23882, 9904, 267, 1565, 23882, 267, 3450, 23882, 563, 14300, 540, 12332, 10023, 8755, 6486, 267, 544, 335, 274, 8301, 563, 21930, 518, 1053, 543, 4896, 945, 6499, 547, 1451, 827, 513, 4914, 1893, 786, 723, 519, 4960, 547, 1224, 519, 269, 5272, 1126, 1058, 723, 693, 2547, 835, 23882, 9904, 4976, 538, 741, 536, 5407, 256, 5053, 9904, 7792, 5022, 16968, 1565, 3211, 4484, 25258, 20725, 4928, 19297, 2238, 1893, 1451, 1965, 3966, 565, 3450, 7005, 19636, 2596, 2262, 269, 5053, 9904, 1451, 676, 2921, 513, 7688, 269, 0, 763, 2527, 1297, 568, 476, 1556, 543, 519, 3693 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4983, 1367, 269, 623, 4785, 295, 6730, 623, 26097, 674, 16898, 27633, 5508, 594, 12613, 5456, 6938, 3582, 9215, 25723, 3073, 269, 6733, 18738, 519, 9906, 11314, 6651, 16855, 8466, 563, 30108, 12754, 16847, 476, 272, 4563, 24779, 689, 519, 3162, 476, 4572, 25171, 2004, 269, 32379, 543, 7485, 2188, 540, 3486, 9194, 513, 13354, 1867, 642, 4512, 269, 5565, 26134, 12215, 835, 2882, 513, 2262, 4871, 2626, 1883, 2142, 2386, 547, 2638, 269, 1548, 7903, 543, 7485, 2188, 4299, 519, 9194, 540, 6803, 2516, 538, 269, 1715, 6809, 753, 4653, 27491, 543, 3115, 1238, 24862, 8018, 563, 10743, 2671, 741, 2724, 689, 519, 2188, 543, 4976, 1053, 547, 513, 21340, 267, 519, 1964, 540, 1114, 4528, 540, 3992, 676, 938, 1650, 286, 1306, 513, 1895, 2307, 519, 1053, 547, 2328, 513, 7104, 4267, 547, 7726, 476, 273, 323, 1548, 568, 519, 1448, 335, 17123, 540, 269, 29130, 707, 2875, 547, 519, 11633, 7169, 609, 713, 2542, 6656, 563, 13328, 538, 519, 18696, 634, 4658, 21537, 2135, 543, 2347, 519, 4976, 476, 2568, 1295, 269, 7170, 634, 15232, 540, 32762, 6816, 6206, 9293, 32762, 6816, 22893, 1222, 269, 12729, 11905, 3561, 594, 4024, 3619, 4639, 6656, 2575, 2139, 998, 519, 269, 570, 14684, 289, 2969, 2697, 543, 4766, 7903, 1790, 1638, 2188, 602, 9415, 31023, 269, 634, 22624, 543, 7485, 2188, 602, 1223, 8749, 1930, 519, 19633, 3046, 3113, 28013, 593, 2238, 2257, 6901, 4879, 602, 269, 1473, 550, 3293, 4419, 3363, 543, 26790, 9752, 570, 16260, 563, 18698, 519, 4279, 24779, 6778, 10513, 5803, 5441, 269, 31385, 519, 7903, 543, 7485, 2188, 799, 8507, 538, 3864, 9194, 547, 519, 8241, 16690, 625, 19875, 476, 272, 4841, 1589, 827, 1946, 519, 1439, 540, 20903, 269, 15716, 0, 10527, 4093, 616, 15260, 1005, 543, 949, 23248, 1118, 9176, 1004, 3063, 5423, 547, 1205, 18764, 2223, 3081, 1071, 23867, 17082, 14732, 678, 339, 336, 341, 626, 14472, 514, 267, 11001, 593, 519, 10406, 540, 24391, 267, 10127, 565, 1231, 6390, 2382, 26623, 564, 630, 22069, 3534, 1916, 28606, 17067, 1382, 723, 8810, 602, 9176, 6690, 4866, 547, 513, 8594, 1895, 585, 2565, 5046, 268, 866, 8506, 14021, 1416, 609, 513, 1732, 8594, 540, 2530, 540, 1272, 982, 1875, 1790, 27389, 656, 6690, 540, 513, 15417, 2085, 269, 21250, 656, 6690, 609, 3665, 5046, 268, 866, 616, 10123, 3063, 811, 2693, 547, 723, 840, 3410, 24570, 269, 4595, 5130, 476, 1708, 272, 267, 3759, 20160, 5046, 268, 866, 10074, 723, 1044, 856, 972, 538, 13785, 543, 16157, 267, 543, 538, 631, 697, 476, 1708, 272, 13785, 2731, 3730, 782, 9176, 1004, 547, 723, 513, 5046, 268, 866, 795, 629, 267, 7550, 538, 4864, 676, 16157, 563, 14071, 2461, 20866, 7487, 602, 12674, 10997, 616, 6175, 982, 538, 519, 14230, 540, 519, 11317, 267, 865, 621, 568, 9583, 602, 972, 568, 930, 6161, 827, 875, 519, 10074, 723, 606, 1198, 593, 519, 9176, 1880, 1268, 543, 519, 21565, 2223, 6941, 3220, 678, 339, 336, 341, 626, 14472, 514, 269, 968, 2691, 519, 10074, 1185, 1044, 3812, 267, 9176, 6690, 14201, 1406, 3769, 1369, 519, 7372, 3621, 1382, 267, 543, 11489, 1631, 972, 723, 1044, 1100, 2551, 2861, 1702, 827, 1022, 8594, 972, 568, 2693, 547, 581, 547, 873, 3034, 763, 3173, 5532, 13785, 779, 9861, 9176, 19193, 543, 16157, 779, 6481, 22073, 19193, 547, 1169, 4182, 779, 12674, 11578, 547, 10536, 1702, 593, 952, 543, 950, 9176, 1004, 1185, 1044, 18764, 543, 609, 799, 6669, 269, 634, 4983, 3769, 513, 2347, 540, 476, 14991, 267, 276, 2641, 1004, 945, 5795, 4098, 1063, 5130, 476, 1708, 272, 543, 5130, 476, 1708, 273, 267, 540, 7247, 5176, 835, 11359, 630, 1240, 829, 1298, 264, 1185, 1044, 18764, 269, 898, 729, 4362, 602, 18764, 1004, 1185, 1044, 693, 1100, 3152, 8594, 982, 796, 341, 3147, 3990, 540, 2870, 835, 540, 1082, 6594, 2042, 563, 301, 22022, 782, 540, 519, 9176, 1004, 3769, 1369, 519, 4983, 1185, 1044, 18764, 1310, 3018, 476, 1321, 538, 13076, 609, 1459, 10372, 269, 476, 4817, 829, 1298, 5833, 606, 22328, 6669, 630, 303, 325, 6500, 5174, 1470, 18199, 3663, 610, 7073, 320, 1040, 901, 1590, 581, 2808, 950, 29852, 519, 4093, 267, 799, 1185, 1044, 13380, 585, 519, 4625, 1114, 22328, 10074, 1100, 2339, 2436, 610, 711, 835, 610, 1079, 13066, 3893, 269, 17261, 1588, 538, 519, 1576, 540, 519, 3791, 959, 30478, 543, 12674, 609, 519, 7073, 320, 6669, 729, 1644, 547, 513, 18923, 6175, 8594, 540, 30564, 1416, 563, 14071, 2461, 1631, 4058, 547, 2638, 875, 17890, 713, 3106, 16569, 267, 543, 952, 16568, 17336, 268, 273, 606, 3968, 610, 12674, 2429, 1373, 9176, 814, 930, 824, 9434, 2164, 593, 519, 4819, 779, 1134, 1373, 2223, 3081, 4745, 3803, 17082, 7905, 9986, 1993, 5153, 327, 753, 5459, 593, 519, 10406, 540, 24391, 267, 10127, 565, 1231, 6390, 2382, 26623, 564, 630, 22069, 3534, 1916, 763, 4983, 729, 513, 5698, 1063, 3173, 693, 13785, 779, 10127, 565, 1231, 6390, 2382, 26623, 564, 543, 519, 21785, 4659, 540, 5398, 4270, 1373, 269, 898, 729, 6462, 676, 14828, 689, 519, 5811, 7027, 540, 16157, 267, 20918, 293, 832, 330, 543, 519, 3864, 5811, 7027, 630, 2207, 290, 1040, 3213, 27236, 543, 918, 296, 11001, 25599, 731, 700, 329, 2426, 814, 5833, 513, 3902, 689, 26172, 6500, 2250, 519, 9165, 540, 713, 4983, 543, 568, 606, 11832, 540, 519, 16528, 6481, 8585, 577, 663, 1047, 7577, 269, 3143, 1114, 1761, 7526, 540, 7279, 723, 1044, 4080, 563, 26397, 281, 968, 288, 742, 559, 2747, 540, 16568, 17336, 268, 273, 17261, 1588, 10801, 9861, 9176, 2060, 9861, 9176, 27159, 6100, 12756, 595, 269, 13804, 639, 267, 14732, 21411, 269, 678, 339, 336, 341, 626, 267, 4432, 529, 9278, 667, 22844, 336, 342, 626, 267, 25599, 731, 700, 329, 2426, 267, 12049, 20891, 4787, 337, 267, 23718, 18718, 2917, 267, 674, 7967, 322, 5839, 338, 8932, 267, 645, 329, 337, 333, 623, 6141, 752, 267, 670, 330, 517, 21411, 269, 717, 329, 31757, 267, 11184, 328, 661, 269, 670, 6199, 267, 9986, 1993, 5153, 327, 753, 5459, 269, 808, 24717, 267, 593, 11060, 476, 2190, 4728, 476, 1708, 273, 267, 8222, 281, 476, 1015, 269, 1911, 272, 10768, 4821, 269, 1708, 273, 269, 27628, 272, 269, 0, 301, 2720, 532, 568, 7255, 609, 519, 3003, 1367, 269, 16711, 568, 7255, 609, 519, 2898, 1367, 269, 12502, 525, 11129, 547, 581, 6899, 7900, 2168, 4247, 267, 1519, 3001, 2550, 563, 763, 7127, 7400, 3070, 568, 513, 6671, 536, 3147, 8403, 675, 622, 1982, 538, 8808, 269, 2422, 3872, 6436, 950, 596, 2461, 7234, 5773, 543, 1239, 269, 901, 1344, 568, 2469, 547, 581, 6854, 14553, 14804, 563, 5415, 982, 476, 272, 5943, 1522, 1256, 581, 5363, 538, 707, 1382, 269, 634, 4632, 1369, 713, 2013, 616, 942, 267, 5291, 2517, 4178, 269, 1794, 17376, 9874, 6983, 345, 270, 1492, 13522, 728, 3562, 17032, 6361, 2173, 520, 24136, 270, 519, 4110, 540, 2866, 543, 519, 2732, 1982, 269, 5502, 267, 621, 568, 513, 13865, 1871, 602, 3340, 513, 7406, 540, 4704, 563, 288, 2257, 1788, 666, 1689, 689, 2241, 547, 1950, 267, 4061, 621, 568, 2629, 547, 10625, 513, 1788, 602, 779, 11807, 585, 519, 2085, 1895, 269, 4317, 1565, 3069, 666, 723, 513, 1297, 540, 1483, 8996, 3156, 269, 1358, 786, 723, 519, 4316, 547, 2347, 513, 2039, 540, 2298, 6454, 543, 5718, 25700, 3785, 602, 616, 5140, 16056, 1532, 4265, 619, 563, 301, 2720, 532, 7869, 16711, 568, 513, 2370, 1114, 689, 1034, 1072, 13282, 22825, 2094, 621, 779, 3069, 1759, 269, 6206, 16610, 616, 2356, 3833, 2110, 4930, 1224, 543, 1142, 835, 568, 6131, 547, 513, 1808, 1888, 269, 1358, 1590, 581, 9266, 538, 2470, 563, 1692, 596, 2328, 707, 1378, 2123, 3948, 568, 513, 1590, 269, 634, 1995, 949, 849, 581, 2147, 1554, 3562, 6377, 22074, 269, 1677, 4266, 1175, 835, 3069, 814, 12758, 563, 2467, 616, 513, 3099, 540, 2081, 547, 30387, 8808, 6436, 269, 13575, 6340, 267, 8808, 6436, 2887, 883, 835, 540, 476, 274, 6688, 269, 1358, 1445, 593, 519, 9259, 540, 8808, 563, 763, 1382, 786, 1450, 519, 11923, 547, 1491, 1697, 3664, 693, 1142, 5123, 540, 741, 2564, 1416, 1184, 602, 568, 6026, 676, 1382, 269, 634, 2832, 540, 8808, 568, 547, 5351, 2550, 11177, 1072, 269, 898, 568, 2556, 585, 519, 11923, 547, 2119, 547, 1118, 3885, 320, 3846, 1143, 4448, 547, 1072, 543, 2068, 563, 1607, 3184, 786, 948, 547, 10146, 713, 6946, 3510, 543, 547, 2992, 938, 1378, 5107, 538, 8808, 543, 2489, 9716, 1416, 269, 1879, 519, 2069, 568, 5833, 267, 621, 1590, 581, 2322, 883, 2259, 865, 607, 547, 723, 513, 2318, 3310, 593, 3461, 1416, 543, 519, 10721, 8808, 4093, 269, 16952, 621, 779, 1271, 602, 8808, 5718, 3136, 547, 11349, 741, 8808, 3854, 563, 16914, 1042, 2787, 4828, 2690, 27832, 568, 2731, 519, 1034, 1271, 8984, 540, 519, 6574, 3506, 540, 8808, 2094, 621, 2982, 606, 4013, 20774, 1746, 8116, 1237, 1407, 519, 1982, 547, 5965, 1053, 547, 979, 883, 519, 8808, 3924, 269, 1358, 1419, 960, 609, 2789, 2550, 609, 1585, 1072, 2115, 269, 16711, 568, 1851, 519, 16595, 3395, 4610, 538, 519, 1459, 4346, 543, 11923, 5097, 3895, 2949, 5140, 1072, 267, 2061, 2068, 267, 543, 1521, 2550, 609, 606, 25819, 540, 1072, 5829, 2175, 563, 1103, 519, 6644, 540, 519, 1268, 267, 519, 12016, 568, 519, 1367, 945, 779, 2141, 1134, 5423, 547, 3761, 513, 1688, 269, 634, 8515, 540, 18965, 1565, 568, 711, 585, 16764, 267, 865, 930, 1053, 949, 3605, 602, 789, 2461, 1732, 14018, 585, 519, 811, 6671, 4110, 4781, 269, 1280, 3236, 267, 513, 2875, 1522, 581, 7620, 12592, 547, 7118, 9120, 9344, 538, 1153, 547, 3489, 606, 27108, 693, 1753, 563, 2414, 2253, 609, 267, 519, 960, 3196, 7012, 1406, 3810, 13473, 610, 8036, 547, 14892, 6266, 540, 519, 6009, 602, 11478, 693, 519, 1699, 942, 269, 1411, 1522, 2303, 789, 798, 4010, 519, 1482, 1544, 543, 596, 2461, 2111, 547, 25262, 622, 676, 4543, 873, 267, 849, 269, 2201, 519, 16212, 2427, 267, 513, 6205, 814, 606, 17185, 547, 11963, 856, 543, 2272, 519, 1259, 519, 2200, 21248, 941, 1031, 543, 519, 3785, 602, 941, 6192, 563, 2467, 616, 513, 2603, 540, 6436, 827, 1565, 799, 948, 721, 1174, 519, 851, 540, 513, 2875, 610, 15226, 269, 2552, 6374, 908, 519, 1871, 540, 1557, 3584, 2509, 1603, 30664, 764, 762, 3594, 267, 621, 568, 1898, 585, 1053, 547, 10146, 875, 547, 2824, 519, 4998, 1557, 3584, 269, 645, 17928, 1053, 1522, 581, 1224, 4784, 1152, 476, 272, 942, 563, 8489, 553, 267, 519, 3044, 540, 1928, 666, 581, 6964, 547, 4766, 1018, 519, 10835, 7959, 899, 547, 519, 1268, 269, 769, 1082, 8320, 267, 621, 568, 2469, 547, 581, 519, 1920, 602, 596, 3580, 581, 3246, 513, 1390, 4308, 540, 519, 6044, 547, 269, 16952, 513, 24077, 6712, 540, 9120, 3461, 1416, 568, 8200, 593, 23833, 3800, 563, 10743, 1590, 2015, 2436, 789, 616, 4712, 547, 4308, 609, 519, 7274, 540, 2604, 789, 2461, 1360, 2693, 547, 3068, 538, 971, 606, 27268, 14053, 5790, 269, 4475, 267, 519, 4998, 2832, 540, 2069, 568, 8757, 547, 519, 1991, 3970, 540, 519, 1268, 2208, 1761, 269, 7464, 1565, 5956, 1169, 942, 513, 3210, 568, 1572, 585, 538, 4276, 609, 606, 1995, 563, 2690, 3236, 267, 5989, 2152, 949, 3310, 513, 1808, 3148, 1247, 1776, 568, 2348, 513, 3390, 540, 22584, 543, 3983, 8027, 269, 634, 2832, 568, 547, 24390, 519, 7227, 942, 607, 513, 1797, 547, 2333, 6075, 9547, 543, 2333, 12434, 269, 901, 3069, 5267, 621, 568, 711, 1898, 547, 1353, 2115, 610, 5042, 3157, 547, 1174, 8404, 267, 855, 602, 621, 568, 3274, 1898, 547, 4983, 519, 6364, 540, 2623, 563, 2005, 1522, 581, 1031, 538, 519, 4791, 2259, 12191, 269, 6435, 6267, 1685, 519, 5615, 602, 616, 2469, 547, 581, 4397, 540, 873, 538, 1483, 1272, 269, 1703, 616, 930, 2853, 563, 763, 1576, 814, 547, 581, 5293, 593, 519, 2034, 4674, 269, 4935, 267, 1565, 3884, 1406, 6913, 538, 606, 4013, 4259, 267, 855, 538, 519, 2688, 540, 8086, 540, 1554, 3562, 6377, 2833, 269, 1703, 616, 1896, 1114, 3029, 540, 6436, 602, 948, 4434, 938, 2259, 1169, 1554, 269, 0, 23763, 547, 917, 952, 707, 5172, 16277, 850, 666, 2972, 513, 20105, 540, 16741, 286, 1284, 4076, 3893, 519, 2626, 267, 7132, 930, 1187, 5013, 827, 16015 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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 ]
[ 2029, 543, 20678, 2509, 3152, 954, 6016, 1464, 267, 649, 16491, 873, 609, 519, 2645, 2877, 547, 4431, 24847, 267, 8308, 267, 543, 7561, 1282, 2564, 18002, 269, 1924, 1985, 942, 596, 1294, 606, 5605, 592, 766, 627, 714, 4506, 676, 267, 3314, 519, 6909, 16542, 3297, 519, 10207, 5329, 721, 2922, 543, 2635, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 9448, 304, 276, 281, 18329, 2657, 16680, 19457, 3590, 454, 763, 6554, 9250, 519, 18329, 2657, 16680, 19457, 3590, 630, 4385, 538, 28484, 1106, 607, 834, 324, 10890, 8442, 538, 476, 1001, 277, 585, 7589, 676, 2818, 540, 519, 1857, 543, 3782, 3028, 7426, 269, 1703, 616, 5784, 602, 607, 519, 3795, 540, 552, 10890, 1851, 3782, 3028, 7426, 568, 1869, 16283, 267, 543, 621, 568, 711, 954, 6016, 762, 609, 6301, 1633, 2564, 5238, 267, 891, 723, 3908, 519, 4390, 540, 519, 6554, 547, 3035, 922, 6662, 540, 267, 1851, 1866, 267, 10970, 11868, 519, 2604, 593, 519, 2533, 540, 519, 1857, 3782, 1062, 676, 14304, 1857, 17376, 10675, 11450, 267, 5009, 3119, 3782, 1646, 543, 5885, 15173, 15158, 1004, 547, 13649, 538, 519, 6301, 1633, 4872, 540, 519, 2871, 836, 323, 784, 6953, 784, 15158, 5336, 659, 7776, 20523, 7345, 9351, 269, 769, 713, 4276, 267, 786, 519, 6554, 1217, 713, 7027, 912, 263, 272, 264, 540, 519, 9757, 2338, 540, 1762, 1453, 267, 4079, 543, 11361, 7606, 945, 6192, 741, 14261, 585, 7589, 538, 552, 10890, 538, 1142, 540, 519, 2250, 2947, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 13640, 3139, 21778, 257, 607, 851, 540, 834, 25503, 1315, 20466, 2657, 7896, 1315, 17073, 6481, 7896, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3738, 815, 1107, 16009, 16564, 815, 1107, 16009, 14668, 476, 273, 6567, 16009, 14668, 272, 544, 6567, 544, 272, 815, 476, 273, 476, 272, 1341, 16009, 14668, 272, 16009, 14668, 476, 273, 476, 272, 1341, 544, 272, 332, 273, 630, 553, 476, 272, 1341, 544, 272, 332, 273, 9881, 510, 476, 271, 264, 544, 273, 6567, 544, 272, 1547, 4475, 269, 6606, 269, 1403, 14668, 272, 543, 14668, 273, 616, 519, 13141, 5209, 540, 3515, 700, 272, 543, 700, 273, 269, 9386, 540, 519, 1899, 568, 544, 284, 544, 815, 16009, 476, 2568, 4113, 815, 476, 274, 269, 972, 8451, 1079, 2665, 281, 1547, 2913, 16564, 543, 26420, 581, 519, 11105, 7285, 1063, 519, 3515, 700, 272, 543, 700, 273, 630, 8993, 1015, 269, 1287, 649, 1265, 602, 891, 3515, 616, 2901, 12969, 532, 610, 6252, 269, 1284, 917, 602, 950, 1079, 3515, 12969, 1142, 824, 269, 3371, 649, 786, 1865, 519, 5086, 1063, 1079, 3515, 538, 2474, 540, 741, 19527, 269, 277, 1040, 14668, 273, 9881, 510, 476, 3445, 4113, 269, 789, 1118, 1079, 8424, 540, 19794, 6587, 7285, 971, 602, 2040, 540, 1022, 1079, 11105, 7285, 568, 476, 5197, 4113, 269, 607, 476, 272, 1341, 544, 272, 332, 273, 9881, 510, 476, 271, 476, 272, 1341, 544, 272, 332, 273, 8431, 476, 1015, 269, 799, 568, 711, 3989, 269, 476, 274, 6629, 274, 476, 271, 630, 323, 264, 3371, 31007, 540, 519, 1899, 14668, 815, 476, 2568, 4113, 269, 6606, 269, 273, 269, 3973, 544, 272, 815, 16009, 14668, 272, 543, 544, 273, 815, 16009, 14668, 273, 1547, 2913, 700, 272, 543, 700, 273, 581, 1079, 1875, 268, 3200, 673, 3515, 609, 19527, 544, 272, 543, 544, 273, 780, 269, 8865, 4083, 1403, 799, 1797, 602, 16564, 786, 581, 1073, 339, 2224, 543, 26420, 786, 581, 8650, 269, 476, 274, 1547, 1287, 16009, 16564, 786, 581, 2942, 543, 16009, 26420, 786, 581, 2318, 2529, 307, 6938, 20846, 700, 2562, 2464, 476, 20385, 8865, 594, 1403, 544, 476, 273, 6567, 544, 272, 568, 2318, 269, 8827, 1284, 917, 602, 519, 8650, 5086, 16564, 1063, 1079, 3515, 609, 19527, 544, 272, 543, 544, 273, 568, 2016, 676, 2913, 544, 272, 815, 16009, 16564, 815, 544, 273, 6567, 544, 272, 476, 272, 1341, 544, 272, 332, 476, 273, 1547, 799, 3947, 476, 272, 476, 272, 544, 6629, 476, 273, 815, 476, 272, 610, 6567, 476, 273, 815, 1107, 272, 269, 4935, 907, 568, 2016, 676, 16009, 16564, 815, 544, 476, 273, 6567, 544, 272, 1547, 6606, 907, 476, 272, 1341, 544, 272, 544, 476, 273, 799, 1797, 16564, 786, 581, 8650, 543, 26420, 786, 581, 1073, 339, 2224, 269, 476, 275, 476, 273, 476, 272, 476, 273, 476, 272, 476, 273, 3767, 269, 1287, 16009, 16564, 786, 581, 2318, 543, 16009, 26420, 786, 581, 2942, 269, 649, 1205, 12631, 16009, 815, 476, 275, 544, 6629, 476, 272, 476, 272, 266, 544, 476, 273, 610, 476, 272, 815, 544, 6629, 476, 272, 476, 272, 266, 544, 476, 273, 1547, 607, 476, 272, 1341, 544, 272, 332, 476, 273, 9881, 510, 476, 271, 476, 272, 1341, 544, 272, 332, 476, 273, 1547, 476, 272, 476, 272, 476, 272, 266, 476, 272, 266, 544, 544, 476, 273, 476, 273, 544, 6629, 476, 272, 4475, 544, 815, 476, 274, 610, 544, 815, 6567, 1547, 7151, 476, 273, 1403, 519, 5086, 1063, 1079, 3515, 568, 12631, 476, 272, 543, 9386, 540, 835, 540, 519, 3515, 568, 1547, 1265, 476, 275, 476, 273, 519, 9386, 540, 519, 824, 1899, 269, 476, 272, 1341, 544, 272, 544, 476, 273, 544, 476, 273, 6567, 544, 272, 568, 2942, 269, 630, 272, 264, 634, 1073, 339, 2224, 5086, 630, 25669, 26420, 264, 666, 581, 1336, 676, 1210, 26420, 815, 5197, 271, 1107, 16564, 269, 519, 8650, 5086, 630, 25669, 16564, 264, 1063, 3515, 700, 272, 543, 700, 273, 609, 19527, 544, 272, 543, 544, 273, 269, 544, 273, 815, 544, 543, 16564, 815, 1547, 630, 272, 264, 476, 272, 12631, 10371, 8380, 891, 2418, 538, 630, 272, 6393, 278, 7151, 476, 274, 7412, 998, 519, 2798, 630, 1700, 273, 269, 8431, 476, 1015, 269, 799, 3947, 544, 273, 815, 476, 272, 476, 1321, 6398, 815, 6567, 272, 610, 1535, 815, 476, 275, 1547, 1287, 1079, 3515, 786, 14626, 728, 269, 279, 264, 952, 543, 1152, 952, 9386, 540, 9474, 815, 9386, 540, 7460, 269, 476, 279, 1547, 476, 1321, 264, 543, 630, 343, 269, 8431, 476, 1015, 269, 1287, 789, 786, 9114, 593, 513, 1899, 269, 476, 277, 264, 543, 630, 275, 269, 8827, 32437, 540, 519, 1899, 998, 519, 2798, 630, 1700, 476, 273, 269, 1403, 1079, 3515, 2348, 519, 1482, 9386, 1780, 998, 513, 1455, 1448, 269, 278, 6941, 519, 476, 274, 2601, 540, 1079, 4267, 269, 275, 2051, 1467, 10846, 540, 1614, 2798, 1284, 917, 602, 19527, 540, 1079, 6252, 3515, 616, 3160, 269, 9386, 540, 519, 824, 1899, 568, 476, 272, 476, 274, 610, 6567, 1547, 9747, 269, 645, 543, 595, 616, 1614, 2798, 538, 519, 2473, 312, 13807, 2033, 269, 476, 279, 264, 568, 13902, 547, 519, 1899, 998, 519, 2798, 630, 279, 269, 476, 274, 1535, 6567, 279, 476, 1015, 269, 4855, 519, 1871, 540, 1535, 269, 13975, 13878, 30388, 9747, 4318, 907, 476, 2190, 264, 568, 476, 2190, 6567, 476, 1321, 476, 1321, 815, 1535, 6629, 279, 1535, 6567, 279, 4595, 1079, 3515, 616, 13902, 269, 476, 2190, 1040, 476, 277, 264, 543, 630, 275, 269, 952, 589, 269, 476, 1321, 264, 543, 630, 343, 269, 8431, 476, 1015, 269, 1614, 2798, 616, 897, 15035, 630, 8993, 476, 1015, 269, 273, 269, 544, 272, 544, 273, 815, 1107, 272, 269, 1775, 269, 476, 279, 264, 568, 544, 272, 815, 476, 279, 6629, 277, 476, 273, 476, 272, 815, 815, 476, 275, 6567, 630, 6567, 273, 3738, 476, 277, 476, 274, 32437, 540, 519, 1899, 998, 519, 2798, 630, 279, 780, 8340, 519, 3845, 1063, 623, 630, 343, 272, 269, 476, 274, 269, 8571, 513, 29105, 538, 519, 31951, 7077, 4318, 269, 586, 272, 6567, 737, 586, 6567, 344, 815, 476, 273, 476, 272, 1535, 272, 6567, 554, 1535, 273, 6567, 1535, 272, 610, 610, 737, 6567, 586, 272, 586, 476, 273, 6567, 586, 272, 815, 554, 6567, 1535, 272, 1535, 273, 6567, 1535, 272, 1547, 586, 272, 264, 543, 1627, 630, 343, 273, 269, 2798, 630, 271, 2529, 307, 6938, 20846, 700, 2562, 2464, 476, 21076, 7151, 476, 275, 8422, 2798, 623, 630, 327, 269, 543, 519, 4571, 15304, 540, 519, 1899, 10126, 11836, 519, 2798, 623, 630, 271, 269, 1627, 543, 681, 616, 897, 15035, 269, 667, 264, 581, 1022, 1448, 593, 519, 1899, 269, 586, 273, 264, 950, 2433, 630, 328, 264, 623, 304, 568, 6252, 547, 519, 586, 14289, 269, 950, 570, 815, 476, 271, 269, 799, 568, 1226, 573, 9665, 689, 519, 2798, 630, 278, 269, 942, 543, 3845, 3113, 540, 513, 5276, 5163, 568, 2016, 269, 1141, 667, 18575, 519, 3845, 693, 942, 570, 269, 280, 269, 476, 275, 1040, 630, 327, 1107, 1535, 272, 264, 630, 344, 273, 1107, 586, 272, 264, 815, 630, 330, 1107, 586, 272, 264, 630, 343, 273, 1107, 1535, 272, 264, 907, 630, 271, 269, 4746, 269, 4855, 14622, 540, 519, 6906, 269, 8827, 4595, 2798, 623, 269, 476, 271, 1040, 4171, 14622, 616, 630, 1700, 476, 275, 269, 272, 476, 272, 269, 737, 1040, 4475, 269, 280, 476, 279, 6567, 476, 273, 667, 6567, 279, 610, 815, 476, 274, 6629, 271, 570, 6567, 274, 610, 667, 815, 476, 273, 24867, 1341, 476, 272, 1040, 8058, 602, 630, 327, 1107, 1535, 272, 264, 630, 344, 273, 1107, 586, 272, 264, 815, 630, 330, 1107, 586, 272, 264, 630, 343, 273, 1107, 1535, 272, 1040, 649, 723, 32437, 540, 623, 304, 815, 32437, 540, 30040, 907, 1107, 273, 1040, 667, 815, 476, 279, 4318, 269, 586, 272, 264, 543, 681, 630, 343, 273, 269, 4855, 513, 1448, 593, 519, 1535, 14289, 269, 4635, 519, 1523, 540, 9386, 269, 8827, 2913, 630, 307, 269, 799, 10596, 998, 519, 5169, 269, 1265, 1876, 540, 5163, 269, 1107, 476, 276, 264, 543, 630, 1700, 476, 275, 269, 630, 276, 269, 667, 264, 616, 897, 15035, 865, 602, 8431, 476, 1015, 269, 476, 276, 269, 476, 277, 264, 543, 630, 274, 269, 1775, 269, 7151, 476, 276, 769, 8431, 476, 1015, 269, 476, 275, 269, 799, 568, 519, 2838, 6935, 269, 476, 276, 1040, 4855, 519, 9386, 540, 513, 1899, 269, 630, 4512, 264, 623, 304, 568, 6252, 547, 519, 1535, 14289, 269, 476, 278, 1040, 586, 273, 264, 9114, 593, 513, 1899, 269, 476, 273, 269, 875, 3845, 5673, 2390, 942, 269, 476, 277, 630, 307, 6567, 476, 274, 264, 815, 476, 274, 630, 291, 6567, 476, 279, 264, 12327, 2207, 290, 30990, 476, 1015, 269, 630, 274, 269, 634, 3490, 540, 606, 31164, 6906, 609, 2427, 476, 273, 320, 6013, 2059, 519, 586, 14289, 971, 602, 519, 4571, 15304, 540, 519, 3490, 568, 693, 519, 5169, 269, 5565, 7158, 540, 942, 543, 3845, 616, 6592, 607, 269, 1107, 476, 275, 264, 543, 645, 630, 279, 269, 476, 273, 1040, 667, 815, 476, 273, 543, 950, 570, 815, 476, 274, 269, 1547, 1265, 922, 1858, 269, 1775, 269, 1627, 630, 343, 272, 269, 476, 279, 264, 543, 630, 307, 780, 21413, 1210, 519, 19456, 23768, 11532, 269, 1265, 1018, 786, 581, 519, 2551, 538, 519, 1032, 476, 1001, 271, 286, 8431, 476, 1015, 269, 476, 274, 476, 1321, 269, 476, 278, 269, 1107, 476, 272, 1040, 4855, 519, 1871, 540, 1535, 585, 799, 519, 2798, 630, 343, 269, 476, 1556, 269, 274, 15316, 22553, 540, 519, 17817, 540, 513, 7412, 1284, 917, 602, 1169, 1899, 538, 513, 7077, 3568, 28222, 1082, 2798, 593, 621, 269, 1265, 519, 19527, 540, 519, 3515, 269, 272, 264, 543, 630, 275, 269, 9453, 1210, 3845, 4542, 269, 1700, 273, 1040, 1107, 476, 272, 1040, 634, 9386, 540, 513, 1899, 568, 5595, 540, 519, 9386, 540, 1776, 1899, 269, 1397, 602, 519, 2798, 630, 275, 269, 476, 273, 264, 616, 519, 14622, 540, 513, 25521, 269, 737, 264, 9114, 593, 513, 1899, 269, 476, 276, 264, 616, 897, 15035, 269, 1397, 602, 737, 1107, 586, 272, 815, 544, 630, 327, 1107, 1535, 272, 1040, 554, 737, 476, 1691, 269, 1265, 519, 9386, 540, 519, 1899, 9474, 543, 1210, 621, 269, 630, 274, 269, 536, 264, 543, 630, 271, 269, 799, 2306, 606, 5086, 540, 476, 1789, 4113, 609, 519, 2318, 4287, 540, 586, 14289, 6027, 1884, 545, 6674, 3772, 269, 476, 280, 269, 476, 275, 1040, 476, 279, 269, 1403, 9386, 540, 519, 1899, 568, 544, 269, 737, 1040, 1397, 602, 513, 536, 1341, 815, 476, 272, 269, 589, 1899, 10596, 998, 630, 343, 272, 269, 476, 271, 1040, 4855, 519, 9386, 540, 519, 1899, 269, 476, 1015, 269, 630, 320, 269, 476, 1724, 269, 1015, 476, 1015, 269, 630, 274, 269, 1700, 272, 264, 543, 630, 275, 269, 6333, 519, 1739, 2551, 543, 1032, 3113, 630, 8993, 476, 1015, 269, 1015, 1040, 1107, 272, 264, 616, 519, 14622, 540, 513, 1318, 2587, 1194, 6906, 269, 586, 272, 264, 543, 630, 327, 269, 476, 276, 264, 543, 630, 1700, 272, 269, 476, 274, 264, 543, 630, 1700, 274, 269, 1403, 1614, 2798, 630, 327, 269, 630, 273, 269, 4855, 519, 5086, 1063, 519, 1535, 14289, 543, 519, 1899, 11836, 519, 2798, 630, 274, 269, 1403, 17242, 540, 519, 5086, 1063, 873, 568, 476, 272, 1547, 630, 275, 269, 901, 2078, 1063, 1899, 543, 2798, 5012, 721, 547, 1265, 519, 3070, 540, 519, 1739, 1966, 281, 1547, 476, 271, 1040, 1397, 602, 2798, 630, 1700, 476, 273, 269, 18891, 13878, 30388, 476, 277, 780, 1556, 7151, 476, 277, 4855, 519, 4834, 540, 519, 3515, 6252, 547, 17887, 543, 8429, 998, 630, 1700, 476, 273, 269, 1280, 519, 3830, 540, 700, 269, 586, 264, 568, 606, 17062, 1448, 538, 519, 2473, 312, 13807, 2033, 543, 700, 568, 519, 2016, 1899, 269, 3767, 269, 649, 786, 1865, 519, 3830, 540, 513, 1899, 896, 1114, 2175, 269, 6382, 7301, 269, 476, 274, 1040, 2986, 1576, 519, 3948, 568, 8806, 606, 15821, 3830, 5473, 519, 4632, 1535, 543, 586, 269, 6684, 269, 649, 6999, 547, 4020, 513, 3948, 610, 2783, 585, 519, 1448, 623, 602, 568, 3020, 269, 274, 269, 634, 586, 18396, 15453 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 729, 513, 20281, 16287, 519, 8473, 1063, 519, 2296, 543, 3943, 2531, 514, 687, 269, 674, 9689, 1063, 519, 2296, 267, 3943, 267, 543, 7111, 4892, 3361, 513, 3126, 540, 10617, 602, 10969, 730, 519, 1858, 543, 8507, 538, 519, 10205, 618, 540, 519, 25345, 538, 519, 476, 12739, 271, 338, 563, 4910, 564, 25557, 540, 519, 25345, 1705, 711, 2049, 2394, 519, 476, 15876, 271, 338, 950, 8857, 577, 16927, 16194, 3885, 941, 4547, 547, 519, 4571, 18396, 770, 3148, 676, 29962, 6424, 14480, 8663, 896, 606, 2296, 9576, 23626, 269, 9546, 335, 1961, 267, 593, 519, 12456, 541, 4593, 27198, 5211, 282, 14250, 15838, 267, 693, 519, 2212, 540, 8592, 7345, 282, 543, 623, 9047, 638, 573, 22810, 941, 519, 1101, 12306, 2127, 269, 769, 713, 2034, 5951, 519, 13896, 941, 6705, 543, 18137, 5443, 269, 1358, 2813, 4630, 652, 1737, 338, 689, 519, 4104, 539, 2244, 543, 29633, 16025, 267, 6149, 267, 20398, 267, 543, 18720, 269, 11153, 9546, 335, 1961, 3885, 2968, 14547, 607, 18318, 543, 1804, 2244, 5411, 269, 2991, 29056, 2417, 4095, 10617, 538, 519, 4571, 268, 10204, 271, 338, 267, 519, 1858, 8057, 543, 605, 4944, 1229, 609, 1082, 540, 519, 2062, 15289, 338, 540, 1134, 8153, 3162, 30290, 3885, 21945, 538, 519, 8545, 851, 540, 519, 476, 1240, 628, 2540, 563, 1103, 476, 12293, 276, 267, 30290, 2968, 835, 540, 519, 9998, 11368, 10034, 538, 519, 19435, 540, 19051, 267, 1287, 851, 540, 12590, 269, 634, 3395, 635, 684, 885, 2877, 11018, 4025, 585, 3909, 2533, 543, 4884, 11401, 269, 769, 476, 10082, 273, 267, 20051, 670, 11817, 941, 3710, 538, 9546, 335, 1961, 267, 14250, 15838, 267, 543, 18471, 623, 1180, 269, 634, 9546, 335, 1961, 543, 14250, 15838, 5870, 17346, 7639, 2221, 267, 1031, 585, 2027, 2621, 543, 1930, 547, 519, 1857, 269, 30290, 729, 3238, 538, 519, 21829, 2782, 609, 7980, 21108, 519, 2199, 5032, 543, 10283, 538, 12959, 1472, 11785, 563, 3528, 519, 1376, 540, 519, 476, 866, 628, 2540, 267, 9546, 335, 1961, 729, 519, 2804, 543, 2551, 4099, 540, 519, 7532, 2427, 540, 519, 12456, 541, 4593, 27198, 5211, 269, 2311, 519, 1482, 942, 267, 3978, 2042, 609, 2244, 9562, 17774, 3166, 269, 28787, 532, 3959, 9562, 896, 476, 1704, 628, 2540, 4095, 23339, 543, 9576, 2244, 14828, 267, 646, 15077, 540, 4505, 32388, 832, 8179, 547, 3196, 519, 1699, 968, 338, 638, 520, 1562, 892, 2901, 547, 2628, 632, 8765, 585, 267, 610, 547, 7477, 622, 267, 741, 2182, 2914, 517, 543, 3407, 11396, 269, 1677, 844, 749, 8375, 5208, 267, 519, 12590, 8128, 12306, 2244, 6811, 538, 3870, 540, 519, 968, 338, 638, 520, 1562, 3034, 763, 2804, 9568, 540, 519, 2782, 540, 476, 8687, 273, 8697, 519, 9467, 4346, 540, 519, 12456, 541, 4593, 27198, 5211, 2950, 543, 8507, 538, 1454, 27465, 538, 9546, 335, 1961, 269, 1635, 519, 942, 540, 19051, 779, 1533, 3125, 538, 476, 9264, 271, 607, 3368, 540, 519, 16713, 3281, 668, 1047, 267, 10068, 267, 1312, 2282, 268, 543, 1055, 6879, 648, 267, 729, 4358, 547, 1831, 606, 1271, 2804, 3196, 593, 519, 30290, 25345, 269, 634, 4473, 540, 3162, 30290, 8498, 543, 681, 9801, 5112, 6816, 607, 513, 2551, 4099, 7389, 689, 602, 942, 269, 2060, 519, 530, 22135, 540, 16025, 543, 8105, 18666, 267, 10068, 543, 10935, 2679, 2968, 519, 7986, 23909, 540, 3162, 30290, 7264, 269, 2755, 7449, 14571, 8105, 729, 1869, 13736, 538, 9546, 335, 1961, 267, 29940, 1500, 909, 513, 1804, 6871, 540, 519, 2551, 693, 1849, 10225, 595, 913, 267, 3162, 30290, 267, 543, 681, 9801, 5112, 6816, 269, 3162, 30290, 1185, 1896, 1507, 10068, 7904, 1115, 543, 12015, 3165, 1163, 13024, 269, 634, 16011, 849, 3177, 1082, 9378, 523, 585, 519, 3677, 10068, 7904, 1115, 540, 4425, 1054, 321, 599, 543, 3162, 1636, 543, 1185, 1920, 13218, 547, 519, 3794, 537, 31569, 10068, 2872, 269, 26676, 543, 10935, 2679, 1185, 1831, 606, 1271, 1870, 538, 519, 2146, 676, 519, 476, 6977, 271, 338, 563, 763, 30290, 25345, 2366, 922, 844, 7974, 540, 2367, 547, 519, 6406, 2782, 269, 9093, 689, 3162, 30290, 941, 6719, 538, 1896, 1134, 8153, 1036, 9323, 267, 1519, 519, 476, 736, 628, 19051, 540, 5192, 339, 903, 7921, 21239, 269, 634, 5742, 13108, 1185, 1082, 3162, 30290, 9378, 523, 269, 634, 2022, 6406, 2782, 4965, 729, 1055, 1606, 564, 593, 519, 30290, 25345, 676, 519, 22820, 540, 519, 2367, 17495, 523, 267, 610, 533, 9609, 267, 13278, 344, 269, 1452, 522, 1176, 3165, 941, 10731, 1282, 519, 476, 6942, 271, 338, 267, 543, 519, 4571, 18396, 770, 540, 19051, 729, 519, 4099, 540, 519, 13278, 344, 269, 3162, 30290, 1185, 1614, 15327, 14291, 2367, 17495, 523, 547, 3407, 3282, 543, 3165, 7594, 269, 3509, 540, 519, 32067, 8075, 538, 3162, 30290, 8498, 4266, 689, 713, 942, 540, 13884, 563, 4415, 519, 12900, 540, 519, 533, 9609, 13278, 344, 676, 476, 6642, 271, 267, 519, 1858, 11124, 2352, 2804, 2053, 269, 634, 3500, 608, 21402, 540, 3885, 547, 519, 7178, 2799, 538, 519, 476, 6642, 271, 338, 267, 543, 519, 30290, 1858, 2551, 8593, 269, 28524, 267, 10068, 267, 543, 10935, 2679, 4797, 267, 543, 5010, 4672, 16276, 543, 13143, 532, 3576, 1747, 693, 1849, 10225, 595, 913, 269, 1717, 267, 609, 4824, 6283, 267, 1519, 2848, 4461, 4721, 267, 1507, 5757, 9252, 2692, 1846, 267, 543, 14884, 267, 4832, 14666, 941, 4742, 811, 1271, 547, 519, 4571, 18396, 770, 269, 769, 476, 6245, 278, 267, 519, 5742, 5783, 729, 3710, 267, 855, 621, 729, 711, 2394, 476, 5002, 274, 602, 621, 2968, 6896, 607, 513, 30798, 609, 922, 1101, 14012, 267, 1234, 3164, 526, 595, 269, 654, 2454, 2023, 29124, 269, 3097, 28275, 609, 513, 4832, 12733, 593, 28740, 4173, 517, 6816, 538, 519, 476, 6245, 271, 338, 267, 8285, 595, 913, 267, 3162, 30290, 267, 543, 1849, 10225, 595, 913, 941, 22205, 4832, 8436, 547, 20730, 267, 27756, 8075, 267, 543, 7401, 11623, 676, 476, 5002, 271, 269, 634, 4070, 540, 13272, 26181, 1137, 4166, 3366, 547, 513, 2407, 1922, 1194, 3022, 4832, 12733, 10704, 593, 8285, 595, 913, 269, 634, 8285, 595, 913, 26094, 5948, 729, 8547, 538, 476, 5002, 271, 476, 543, 1082, 13272, 1609, 919, 4266, 689, 713, 1974, 269, 1635, 519, 2038, 476, 736, 628, 2540, 267, 8285, 595, 913, 1185, 1831, 513, 586, 778, 1154, 10278, 269, 21278, 2533, 547, 4832, 8436, 2968, 267, 543, 814, 7283, 267, 513, 2101, 3693, 540, 519, 2199, 4346, 563, 9558, 1636, 566, 4797, 547, 2087, 538, 519, 2038, 5756, 540, 519, 476, 736, 628, 2540, 609, 9252, 29539, 3028, 547, 12456, 541, 4593, 27198, 543, 519, 12625, 540, 519, 18914, 538, 476, 4489, 272, 269, 1635, 476, 4489, 274, 267, 2705, 267, 3162, 30290, 7264, 941, 3395, 27025, 30829, 609, 2199, 10350, 896, 519, 16011, 540, 30290, 269, 7324, 741, 20286, 729, 519, 16011, 779, 5821, 547, 2226, 519, 8115, 267, 9897, 267, 543, 2427, 19789, 802, 538, 3162, 30290, 282, 519, 21376, 2126, 540, 3162, 30290, 779, 3506, 538, 6476, 547, 1346, 538, 30290, 282, 543, 519, 3845, 547, 519, 30290, 4400, 3427, 267, 799, 1500, 621, 12303, 28998, 547, 519, 3454, 2628, 619, 540, 3162, 30290, 269, 634, 1267, 729, 513, 3126, 540, 4620, 1431, 689, 3162, 30290, 7264, 547, 519, 1533, 23328, 5275, 9668, 689, 519, 16011, 540, 30290, 269, 7053, 538, 476, 4489, 276, 267, 3162, 30290, 2968, 513, 5094, 4884, 16922, 540, 9546, 335, 1961, 267, 1849, 10225, 595, 913, 267, 3162, 30290, 8498, 267, 543, 681, 9801, 5112, 543, 28740, 4173, 517, 10195, 563, 7437, 2622, 2782, 594, 267, 519, 4279, 12870, 267, 543, 2622, 2782, 4083, 267, 519, 16011, 1185, 3875, 1920, 11396, 267, 1896, 10935, 26767, 267, 543, 513, 1507, 10068, 2872, 267, 2059, 609, 519, 782, 268, 28695, 968, 8999, 1067, 4123, 1848, 634, 29542, 31133, 720, 26676, 12881, 267, 3323, 538, 476, 4572, 277, 267, 3177, 7694, 585, 1082, 9952, 10935, 26767, 267, 607, 1705, 10935, 29288, 538, 5101, 4425, 1054, 321, 599, 269, 4438, 2622, 2782, 4083, 519, 31133, 720, 13452, 3710, 11308, 15183, 933, 788, 619, 585, 519, 2136, 2276, 13108, 269, 2991, 519, 2112, 267, 519, 31133, 720, 13452, 2322, 3162, 30290, 593, 519, 4786, 609, 4070, 540, 1082, 1804, 11308, 10068, 543, 22892, 8043, 269, 898, 729, 1767, 602, 693, 835, 942, 3368, 540, 519, 1715, 16170, 5112, 267, 12590, 10068, 18239, 1185, 1044, 3710, 538, 3162, 30290, 563, 763, 476, 3422, 271, 338, 543, 476, 3192, 271, 338, 4718, 519, 4098, 540, 1713, 2242, 269, 31123, 560, 1359, 2968, 519, 8789, 13278, 344, 269, 14568, 9897, 4847, 4443, 1569, 547, 519, 16011, 267, 4611, 538, 606, 2333, 538, 4832, 4036, 1878, 269, 28524, 538, 519, 7187, 851, 540, 3162, 30290, 17379, 267, 543, 811, 1032, 15778, 7264, 941, 10707, 856, 540, 4884, 547, 960, 693, 4025, 899, 24872, 11635, 3718, 269, 634, 31133, 720, 26676, 12881, 607, 513, 32063, 540, 11308, 267, 543, 13713, 5374, 267, 8043, 3357, 547, 606, 1439, 538, 476, 2735, 272, 269, 634, 16011, 2968, 5051, 8200, 593, 519, 8637, 543, 2533, 540, 12456, 541, 4593, 27198, 269, 4825, 790, 525, 1500, 909, 513, 3677, 6871, 540, 519, 16011, 779, 2551, 267, 10452, 513, 6237, 7678, 563, 4407, 3162, 30290, 779, 2551, 8057, 2949, 267, 519, 1297, 540, 1453, 538, 519, 1153, 1062, 17379, 689, 476, 4198, 271, 338, 2157, 269, 1744, 648, 4395, 3959, 267, 2523, 593, 681, 9801, 5112, 6816, 267, 2968, 3407, 543, 17077, 269, 634, 594, 571, 595, 269, 11023, 1782, 13149, 4741, 540, 519, 2160, 540, 19051, 8118, 538, 476, 3422, 276, 543, 814, 1831, 606, 18368, 6444, 7286, 7350, 1382, 4099, 563, 9213, 972, 616, 1896, 6967, 4609, 602, 2285, 513, 19214, 883, 519, 2038, 1686, 540, 519, 16011, 269, 634, 16399, 10979, 5600, 568, 1631, 513, 9754, 1930, 547, 519, 1857, 269, 10979, 568, 1869, 19122, 689, 519, 11105, 11432, 1169, 5162, 543, 6740, 538, 519, 4672, 2777, 585, 4832, 946, 269, 1401, 3031, 1080, 1397, 519, 4672, 16276, 1184, 543, 519, 2645, 1031, 269, 634, 9546, 335, 1961, 20051, 5600, 568, 1869, 1031, 21237, 585, 3909, 2533, 267, 11401, 267, 12311, 26204, 267, 543, 7574, 12644, 269, 634, 3135, 540, 519, 3312, 31133, 720, 26676, 12881, 568, 1631, 513, 2261, 2088, 609, 10935, 4859, 543, 513, 7816, 9744, 269, 2986, 519, 2947, 3506, 602, 6039, 519, 16011, 538, 519, 476, 866, 628, 2540, 267, 519, 590, 10003, 3427, 630, 322, 269, 5908, 271, 547, 476, 3707, 274, 264, 3788, 269, 901, 835, 268, 3336, 1153, 5264, 267, 1572, 519, 17619, 3427, 693, 519, 942, 621, 6806, 267, 814, 1044, 17468, 547, 922, 5920, 538, 519, 476, 4350, 271, 338, 676, 519, 3162, 30290, 8466, 5980, 269, 898, 568, 1930, 547, 519, 1857, 269, 17721, 4609, 540, 8978, 4644, 1331, 519, 1975, 709, 331, 13067, 652, 1737, 543, 519, 14667, 31283, 5600, 267, 1312, 593, 519, 2817, 19193, 540, 19866, 26317, 2059, 609, 519, 9546, 335, 1961, 543, 14250, 15838, 5870, 17346, 543, 519, 16399, 10979, 5264, 563, 2690, 811, 593, 519, 1686, 540, 3162, 30290, 267, 1294, 20307, 654, 269, 31133, 720, 267, 589, 10374, 3778, 540, 3162, 30290, 267, 19051, 2073, 27057, 856, 540, 1820, 855, 2139, 693, 519, 681, 9801, 5112, 7732, 543, 519, 3162, 30290, 8466, 5980, 282, 31130, 27673, 267, 13560, 593, 519, 6816, 267, 5455, 593, 519, 6301, 6902, 543, 670, 269, 8092, 517, 2782, 1676, 267, 589, 3778, 540, 519, 19198, 543, 4256, 670, 11817, 269, 476, 634, 3162, 30290, 8466, 5980, 4092, 593, 681, 9801, 5112, 6816, 814, 3573, 3180, 902, 1930, 547, 519, 1857, 543, 568, 593, 1899, 693, 8940, 4732, 1926, 1962, 626, 565, 7290, 5566, 338, 1539, 1214, 3820, 270, 563, 31513, 267, 15656, 18379, 582, 282, 634, 3864, 20570, 540, 3345, 3013, 281, 634, 7187, 16831, 1137, 282, 1715, 3840, 282, 10228, 2160, 4964, 282, 476, 3192, 272, 282, 6032, 269, 476, 28143, 268, 280, 563, 674, 29531, 267, 6424, 27725, 9116, 282, 16422, 21622, 779, 14134, 282, 1715, 3840, 282, 17363, 1299, 5576, 13831, 282, 476, 1220, 279, 282, 533, 269, 476, 25248, 563, 8738, 14141, 267, 8361, 21690, 10045, 267, 667, 6185, 5919, 634, 23548, 25751, 540, 20616, 19051, 281, 476, 8182, 273, 268, 13679, 279, 282, 24144, 267, 19051, 282, 29485, 24614, 5600, 282, 476, 4489, 275, 282, 533, 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 ]
[ 8942, 547, 10536, 10002, 21242, 1239, 563, 22033, 827, 519, 1353, 3135, 267, 1353, 1374, 267, 2551, 267, 10014, 543, 17181, 7355, 267, 3732, 2450, 693, 15977, 267, 2085, 267, 4008, 267, 8167, 609, 12110, 267, 10368, 7355, 267, 1974, 540, 8343, 267, 4908, 540, 8343, 267, 1826, 540, 8579, 2079, 543, 519, 3584, 540, 1719, 729, 18928, 7493, 539, 689, 1142, 1867, 563, 10303, 1016, 1910, 526, 668, 531, 2589, 711, 3356, 532, 547, 1642, 597, 1756, 949, 2099, 519, 1439, 540, 513, 20547, 12558, 540, 1642, 597, 1756, 267, 649, 6592, 2436, 19801, 2665, 540, 9399, 291, 941, 11342, 610, 10071, 2665, 269, 2776, 1998, 550, 9399, 291, 729, 3989, 607, 513, 5868, 540, 9399, 291, 693, 519, 942, 540, 513, 1101, 4879, 282, 10071, 9399, 291, 729, 3989, 607, 513, 5868, 540, 9399, 291, 1739, 835, 610, 811, 10526, 609, 1100, 2589, 540, 1642, 597, 1756, 563, 2414, 3313, 14496, 267, 519, 2409, 540, 1142, 1353, 941, 12290, 2687, 547, 4143, 5036, 540, 14496, 7355, 269, 3962, 1353, 729, 20639, 609, 2463, 547, 5870, 22791, 264, 610, 711, 5870, 630, 6629, 264, 1142, 540, 519, 7355, 563, 5472, 7493, 539, 1344, 729, 9184, 4327, 269, 589, 12007, 13849, 20400, 729, 5342, 676, 28388, 267, 9236, 543, 17804, 7493, 539, 1239, 563, 24092, 13849, 20400, 2553, 630, 292, 1375, 518, 1696, 620, 1421, 476, 1220, 272, 264, 941, 4294, 547, 1114, 2516, 540, 2090, 543, 2090, 609, 26729, 1239, 689, 1079, 610, 811, 2090, 269, 26426, 20400, 729, 1031, 547, 5173, 519, 5916, 7447, 585, 1614, 1114, 6859, 281, 630, 272, 264, 9860, 543, 11841, 540, 9399, 291, 630, 2889, 15251, 5148, 630, 273, 264, 12918, 5223, 630, 3036, 264, 540, 9399, 291, 2404, 609, 1142, 1981, 3815, 282, 543, 630, 274, 264, 10758, 540, 9399, 291, 2404, 609, 1142, 6364, 269, 1280, 782, 1614, 13849, 12845, 26087, 525, 267, 2687, 547, 8912, 2259, 267, 649, 1031, 513, 6378, 1198, 2203, 1101, 267, 4553, 676, 513, 1449, 540, 4630, 23189, 269, 13689, 593, 2436, 4630, 23189, 729, 7608, 610, 15653, 267, 649, 1031, 519, 6378, 610, 519, 4351, 1198, 2203, 547, 12337, 519, 7447, 630, 2889, 15251, 610, 10758, 264, 543, 922, 476, 4817, 260, 6015, 8884, 630, 5746, 1040, 634, 13849, 20400, 729, 5342, 1210, 519, 681, 3301, 476, 273, 269, 1724, 269, 271, 630, 17569, 720, 281, 631, 4953, 288, 630, 5471, 777, 1886, 4297, 543, 5254, 25353, 3301, 476, 1015, 269, 271, 630, 17569, 720, 13849, 1040, 11206, 13602, 941, 6537, 540, 1367, 543, 7535, 539, 9193, 540, 9860, 543, 11841, 267, 543, 10758, 338, 585, 1981, 2188, 543, 4093, 269, 7053, 267, 950, 2009, 267, 649, 19034, 13849, 15696, 1833, 3631, 547, 2708, 519, 1764, 540, 1353, 4632, 593, 519, 2164, 630, 292, 1375, 518, 1696, 620, 1421, 476, 1220, 272, 1916, 763, 3406, 4640, 26857, 476, 8287, 5732, 4143, 2090, 282, 476, 2641, 941, 27366, 585, 811, 2143, 6268, 269, 3828, 10679, 2090, 1558, 519, 10014, 7355, 630, 299, 5271, 330, 4752, 1696, 620, 1421, 476, 1960, 277, 267, 16205, 656, 517, 1470, 1696, 620, 1421, 476, 1220, 273, 267, 23045, 1696, 620, 1421, 476, 1220, 274, 267, 25816, 23437, 5336, 1105, 817, 517, 1696, 620, 1421, 476, 1220, 275, 267, 9149, 696, 345, 514, 1696, 620, 1421, 476, 1220, 276, 267, 744, 340, 22015, 1696, 620, 1421, 476, 1220, 278, 267, 18000, 1696, 620, 1421, 476, 1220, 279, 267, 15182, 731, 1696, 620, 1421, 476, 1220, 280, 267, 31762, 10005, 1696, 620, 1421, 476, 1001, 271, 267, 4787, 13681, 1731, 1696, 620, 1421, 476, 1001, 271, 267, 23045, 1696, 620, 1421, 476, 1001, 272, 267, 23045, 1696, 620, 1421, 476, 1001, 273, 1070, 1519, 1079, 1114, 2090, 540, 519, 1482, 20165, 630, 290, 1961, 1696, 620, 1421, 476, 1001, 272, 267, 23045, 1696, 620, 1421, 476, 1001, 273, 1040, 27607, 2090, 941, 16934, 281, 1079, 1705, 711, 946, 11807, 10368, 7355, 267, 2947, 1705, 711, 556, 1606, 10547, 5396, 609, 9399, 291, 547, 23868, 1346, 3356, 532, 547, 1642, 597, 1756, 267, 835, 729, 513, 26134, 8313, 543, 835, 1705, 711, 2743, 1614, 540, 519, 10014, 7355, 563, 29619, 540, 3769, 2090, 454, 763, 476, 1321, 2090, 630, 8368, 476, 272, 264, 941, 5342, 538, 3345, 3013, 630, 333, 815, 476, 280, 264, 610, 2342, 630, 333, 815, 476, 274, 264, 543, 19801, 4587, 2550, 15861, 547, 2564, 630, 333, 815, 476, 277, 264, 610, 10551, 630, 333, 815, 476, 274, 264, 538, 18345, 4559, 267, 23080, 14306, 1416, 4559, 630, 333, 815, 476, 272, 264, 610, 700, 12839, 6703, 630, 333, 815, 476, 273, 1040, 12726, 2450, 24132, 689, 476, 7871, 547, 476, 9083, 276, 267, 11667, 476, 23056, 1700, 7742, 269, 6399, 2085, 24132, 689, 476, 8287, 547, 476, 5952, 1296, 267, 11667, 476, 3583, 1296, 269, 634, 8167, 540, 2021, 24132, 689, 476, 271, 260, 547, 476, 8064, 9077, 11667, 476, 4649, 1700, 6795, 260, 282, 519, 8167, 609, 12110, 24132, 689, 476, 271, 260, 547, 476, 3583, 9077, 11667, 476, 5392, 10065, 634, 1974, 540, 8343, 24132, 689, 476, 276, 547, 476, 5197, 2395, 267, 11667, 476, 278, 1700, 279, 2395, 269, 1879, 519, 1974, 540, 8343, 3238, 811, 982, 835, 3346, 267, 519, 4908, 540, 17066, 24132, 689, 1614, 2053, 829, 1554, 547, 12353, 267, 11667, 3232, 269, 14210, 2090, 19801, 10071, 9399, 291, 630, 299, 5271, 330, 4752, 1696, 620, 1421, 476, 1960, 277, 267, 16205, 656, 517, 1470, 1696, 620, 1421, 476, 1220, 273, 267, 23045, 1696, 620, 1421, 476, 1220, 274, 267, 25816, 23437, 5336, 1105, 817, 517, 1696, 620, 1421, 476, 1220, 275, 267, 9149, 696, 345, 514, 1696, 620, 1421, 476, 1220, 276, 267, 18000, 1696, 620, 1421, 476, 1220, 279, 267, 15182, 731, 1696, 620, 1421, 476, 1220, 280, 267, 31762, 10005, 1696, 620, 1421, 476, 1001, 271, 267, 23045, 1696, 620, 1421, 476, 1001, 272, 267, 23045, 1696, 620, 1421, 476, 1001, 273, 1070, 476, 276, 19801, 11342, 9399, 291, 630, 299, 5271, 330, 4752, 1696, 620, 1421, 476, 1960, 277, 267, 23045, 1696, 620, 1421, 476, 1220, 274, 267, 25816, 23437, 5336, 1105, 817, 517, 1696, 620, 1421, 476, 1220, 275, 267, 15182, 731, 1696, 620, 1421, 476, 1220, 280, 267, 31762, 10005, 1696, 620, 1421, 476, 1001, 271, 1070, 543, 1079, 19801, 513, 7848, 540, 11342, 543, 10071, 9399, 291, 630, 302, 340, 22015, 1696, 620, 1421, 476, 1220, 278, 267, 4787, 13681, 1731, 1696, 620, 1421, 476, 1001, 271, 1916, 8368, 476, 272, 2529, 636, 4424, 540, 5525, 540, 519, 22039, 540, 9399, 291, 454, 347, 5410, 547, 3733, 623, 5357, 454, 347, 12041, 630, 20204, 10534, 15575, 787, 1475, 16954, 1637, 1475, 2750, 2424, 7355, 1475, 2750, 2424, 7355, 1475, 301, 1475, 13614, 2085, 1475, 293, 24580, 4939, 1475, 5719, 10879, 4939, 1475, 14240, 540, 9399, 291, 1475, 20540, 540, 8343, 630, 17058, 10534, 293, 15968, 540, 8343, 1475, 7093, 28700, 4939, 1475, 18823, 2064, 270, 15553, 4939, 2008, 30054, 5271, 330, 4752, 1696, 620, 269, 630, 1960, 277, 10534, 24433, 1475, 11085, 1475, 4792, 266, 1475, 1700, 1475, 7742, 1475, 1700, 1475, 5780, 1475, 736, 1475, 272, 610, 811, 540, 804, 537, 3429, 540, 9637, 267, 538, 3430, 1549, 267, 771, 528, 1304, 566, 267, 829, 24632, 18063, 1475, 278, 1475, 291, 2905, 1475, 1321, 269, 277, 1475, 2767, 269, 277, 2008, 23277, 2117, 656, 517, 1470, 1696, 620, 269, 630, 1220, 273, 10534, 24433, 1475, 10485, 1475, 4792, 31956, 12048, 17795, 1475, 26073, 1670, 17795, 267, 1642, 597, 1756, 1475, 14338, 1475, 8064, 1475, 8064, 1475, 4343, 269, 276, 1475, 272, 610, 811, 595, 4456, 4295, 2589, 1475, 278, 1700, 279, 1475, 291, 2905, 1475, 1700, 1475, 2764, 269, 274, 2008, 18871, 1961, 1696, 620, 1421, 630, 1220, 274, 10534, 28657, 1475, 11085, 1475, 4792, 266, 1475, 1805, 6593, 267, 593, 19223, 267, 1642, 597, 1756, 1475, 13932, 1475, 10695, 1475, 10170, 1475, 7871, 1475, 7093, 1998, 550, 9399, 291, 281, 476, 273, 610, 811, 540, 282, 804, 537, 3429, 540, 9637, 267, 538, 3430, 1549, 267, 771, 528, 1304, 566, 267, 829, 24632, 18063, 282, 10071, 9399, 291, 281, 476, 272, 610, 811, 540, 804, 537, 3429, 540, 9637, 267, 538, 3430, 1549, 267, 771, 528, 1304, 566, 267, 829, 24632, 18063, 1475, 278, 1475, 9336, 476, 273, 2395, 1475, 2568, 269, 280, 1475, 3607, 269, 276, 2008, 21270, 712, 23437, 1696, 620, 269, 630, 1220, 275, 10534, 293, 8896, 1475, 294, 308, 1475, 4037, 31956, 2713, 693, 1753, 1475, 1700, 1475, 275, 2767, 1475, 5952, 1475, 4649, 1475, 7367, 1475, 272, 610, 811, 595, 4456, 4295, 2589, 1475, 1428, 1700, 1839, 1475, 9336, 476, 274, 2395, 1475, 736, 269, 277, 1475, 275, 269, 280, 2008, 30054, 18967, 345, 514, 1696, 620, 1421, 630, 1220, 276, 10534, 24433, 1475, 10485, 1475, 2004, 31956, 1528, 633, 9647, 31517, 6391, 1475, 5719, 10879, 610, 1642, 597, 1756, 1991, 547, 6391, 1475, 3199, 1475, 6858, 1475, 6872, 1475, 271, 1475, 272, 610, 811, 540, 804, 537, 3429, 540, 9637, 267, 538, 3430, 1549, 267, 771, 528, 1304, 566, 267, 829, 24632, 18063, 1475, 1691, 1475, 291, 2905, 585, 476, 275, 2395, 267, 1287, 693, 476, 1691, 2395, 1475, 1700, 1475, 4097, 269, 275, 2008, 347, 302, 340, 22015, 1696, 620, 269, 630, 1220, 278, 10534, 28657, 1475, 2975, 308, 1475, 2975, 308, 19749, 354, 2190, 554, 1475, 4467, 520, 846, 1475, 276, 4391, 1475, 8287, 1475, 2412, 1475, 286, 1475, 30360, 476, 272, 1700, 274, 593, 594, 7374, 17092, 1475, 277, 1475, 274, 27473, 1475, 3451, 269, 274, 320, 2008, 30106, 534, 1696, 620, 269, 630, 1220, 279, 10534, 24433, 1475, 10485, 1475, 16978, 633, 13487, 6391, 1475, 7093, 268, 10869, 1642, 597, 1756, 1475, 7871, 1475, 8287, 1475, 271, 1475, 286, 1475, 272, 610, 811, 595, 4456, 4295, 2589, 1475, 278, 1475, 291, 2905, 1475, 1700, 1475, 4097, 2008, 347, 8867, 517, 731, 1696, 620, 269, 630, 1220, 280, 10534, 296, 516, 1633, 1475, 303, 1475, 1700, 1475, 10908, 553, 26489, 1290, 320, 17361, 18016, 476, 274, 1475, 1911, 1475, 7597, 1475, 7906, 1475, 286, 1475, 272, 610, 811, 595, 4456, 4295, 2589, 1475, 278, 1475, 25582, 569, 1475, 2767, 269, 275, 1475, 1321, 269, 274, 2008, 18871, 518, 10005, 1696, 620, 269, 630, 1001, 271, 10534, 2005, 3315, 1475, 16256, 308, 1475, 1700, 1475, 4467, 320, 267, 1642, 597, 1756, 1475, 23056, 1475, 3583, 1475, 6246, 1475, 286, 1475, 30360, 476, 272, 268, 274, 593, 594, 7374, 17092, 1475, 3066, 1475, 291, 2905, 1475, 275, 269, 277, 1475, 273, 269, 280, 2008, 16085, 330, 13681, 1731, 1696, 620, 269, 630, 1001, 271, 10534, 28657, 1475, 2975, 308, 1475, 1700, 1475, 4467, 320, 1475, 9083, 276, 1475, 8287, 630, 652, 10534, 6795, 630, 652, 10534, 286, 1475, 30360, 476, 272, 268, 274, 593, 594, 7374, 17092, 1475, 276, 1700, 277, 1475, 274, 27473, 1475, 4029, 269, 275, 320, 2008, 18871, 1961, 1696, 620, 269, 630, 1001, 272, 267, 476, 1001, 273, 10534, 28657, 1475, 299, 12839, 1475, 4792, 266, 1475, 1700, 1475, 10441, 1475, 10019, 1475, 2568, 1475, 5392, 1475, 263, 272, 264, 476, 272, 610, 811, 595, 4456, 4295, 2589, 1475, 5197, 1475, 25582, 569, 1475, 1700, 1475, 273, 269, 276, 2008, 347, 15946, 1475, 5952, 1475, 4792, 1475, 3583, 1475, 263, 273, 264, 476, 273, 610, 811, 595, 4456, 4295, 2589, 1475, 5197, 1475, 25582, 569, 1475, 1700, 1475, 271, 269, 280, 2008, 1103, 519, 476, 1321, 2090, 267, 9399, 291, 729, 8995, 1210, 1614, 1114, 5036, 540, 7355, 630, 8368, 476, 272, 1040, 8422, 2090, 630, 299, 5271, 330, 4752, 1696, 620, 1421, 476, 1960, 277, 267, 23045, 1696, 620, 1421, 476, 1220, 274, 267, 9149, 696, 345, 514, 1696, 620, 1421, 476, 1220, 276, 264, 3989, 9399, 291, 607, 519, 4527, 540, 835, 610, 1079, 630, 528, 811, 264, 2589, 540, 1642, 597, 1756, 267, 711, 5870, 519, 7355, 585, 1642, 597, 1756, 282, 519, 2589, 3769, 538, 3430, 1549, 267, 12012, 1377, 540, 9637, 267, 771, 528, 1304, 566, 543, 829, 24632, 18063, 269, 14520, 2090, 630, 300, 2117, 656, 517, 1470, 1696, 620, 1421, 476, 1220, 273, 267, 25816, 23437, 5336, 1105, 817, 517, 1696, 620, 1421, 476, 1220, 275, 267, 18000, 1696, 620, 1421, 476, 1220, 279, 267, 15182, 731, 1696, 620, 1421, 476, 1220, 280, 267, 23045, 1696, 620, 1421, 476, 1001, 272, 267, 23045 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6286, 540, 519, 3597, 3123, 543, 2470, 540, 519, 4708, 543, 1931, 1271, 2609, 540, 519, 5208, 267, 835, 3112, 3914, 513, 1697, 1267, 593, 7114, 519, 5208, 269, 769, 7305, 476, 274, 3029, 540, 5208, 543, 6114, 616, 3254, 269, 1703, 568, 513, 1360, 6094, 1899, 1063, 4708, 543, 2112, 269, 901, 1899, 5161, 540, 2797, 1949, 543, 14761, 269, 1403, 519, 14761, 798, 711, 2746, 5265, 538, 3210, 547, 2797, 2042, 267, 789, 786, 1118, 621, 811, 2352, 547, 1832, 519, 4708, 269, 901, 568, 849, 519, 2013, 538, 519, 3486, 1062, 267, 538, 799, 2829, 543, 3486, 14761, 1831, 519, 1292, 11051, 945, 2099, 602, 6094, 1899, 269, 1403, 789, 723, 22157, 547, 2721, 593, 2147, 2241, 4214, 531, 6688, 547, 5581, 543, 16048, 741, 6114, 267, 789, 786, 4870, 877, 519, 2797, 2238, 540, 519, 1866, 267, 7551, 2870, 811, 2042, 269, 1452, 1866, 949, 1419, 2744, 513, 4110, 540, 1489, 543, 26117, 950, 1004, 1294, 741, 20494, 341, 1734, 538, 519, 2923, 543, 538, 1857, 7521, 630, 23613, 12107, 267, 476, 1220, 274, 1040, 769, 519, 1739, 7305, 476, 275, 267, 1114, 2157, 540, 2797, 4655, 616, 3254, 543, 13747, 269, 634, 3349, 8638, 1533, 11051, 543, 1875, 15581, 11051, 538, 11685, 543, 3947, 741, 6214, 607, 11604, 2592, 269, 1403, 519, 2797, 1062, 568, 711, 513, 12666, 11180, 1062, 267, 1287, 519, 11685, 949, 711, 581, 538, 513, 2990, 547, 2769, 922, 2093, 543, 4244, 607, 1454, 607, 1346, 8066, 1533, 1379, 269, 476, 280, 454, 310, 20488, 8657, 630, 3192, 275, 281, 476, 14695, 1040, 1261, 2829, 602, 2048, 11004, 616, 693, 2547, 2185, 3631, 540, 3448, 22975, 281, 8375, 6788, 949, 16765, 820, 8375, 12588, 282, 7207, 949, 2611, 11979, 1247, 20772, 4473, 282, 2489, 8739, 20300, 4731, 320, 1047, 949, 2965, 3142, 827, 513, 6749, 538, 7207, 1247, 6788, 2611, 3586, 282, 543, 6368, 972, 568, 519, 5929, 808, 268, 2017, 557, 7613, 538, 799, 267, 585, 513, 1974, 267, 7207, 1832, 10605, 609, 8375, 6788, 543, 1287, 10393, 6749, 3297, 9957, 476, 1015, 16026, 630, 1220, 278, 1040, 1261, 2829, 602, 2048, 263, 337, 264, 601, 894, 22975, 568, 1767, 547, 2049, 950, 519, 4093, 4810, 676, 2043, 616, 17071, 547, 1346, 602, 281, 513, 264, 789, 4397, 547, 4309, 610, 536, 264, 5433, 602, 789, 941, 13886, 547, 4309, 269, 898, 568, 519, 24081, 1890, 1063, 4093, 543, 6788, 543, 5924, 519, 9860, 540, 4093, 602, 616, 9833, 607, 24407, 602, 13054, 3448, 22975, 17483, 763, 18366, 543, 15863, 25400, 20330, 265, 8450, 29430, 630, 1220, 274, 1916, 1607, 1223, 1291, 621, 547, 4431, 593, 513, 1114, 1377, 269, 1403, 519, 1533, 11051, 4431, 538, 2490, 609, 519, 946, 540, 3196, 267, 713, 1522, 581, 1293, 1229, 609, 3196, 540, 513, 2147, 2470, 269, 26588, 753, 5652, 13187, 602, 2048, 1492, 3668, 540, 5191, 538, 1082, 2694, 540, 519, 1158, 602, 729, 519, 6574, 3463, 547, 4708, 543, 6617, 685, 263, 32056, 1067, 267, 476, 1220, 277, 281, 1535, 4512, 1040, 901, 2856, 3366, 5518, 17312, 547, 9772, 513, 14985, 1634, 607, 519, 17312, 1684, 551, 9068, 267, 1556, 855, 930, 19174, 723, 10404, 2213, 621, 269, 769, 519, 2796, 540, 519, 5664, 5101, 267, 585, 3236, 267, 717, 1021, 2829, 602, 2048, 11004, 568, 1100, 2601, 547, 3494, 602, 513, 1847, 4724, 811, 9111, 538, 6259, 2829, 1131, 1219, 937, 873, 689, 741, 1576, 269, 1656, 972, 568, 1100, 2601, 547, 3494, 602, 789, 1223, 711, 15313, 13794, 538, 811, 11180, 6259, 2829, 4534, 2523, 952, 1346, 2829, 4797, 547, 723, 1434, 1894, 609, 519, 2136, 2276, 267, 1500, 4708, 609, 5840, 267, 543, 3622, 1969, 539, 538, 2081, 11807, 547, 6115, 685, 263, 294, 1021, 8633, 267, 476, 1220, 278, 1040, 1717, 267, 5329, 519, 2797, 2497, 540, 519, 5664, 5101, 607, 621, 568, 786, 711, 15069, 4194, 519, 1966, 269, 1306, 26588, 753, 5652, 3081, 267, 2048, 296, 993, 18617, 602, 782, 9082, 7287, 547, 581, 1863, 269, 594, 993, 18617, 602, 5191, 9170, 786, 1118, 519, 1158, 10930, 10876, 685, 630, 4537, 541, 753, 5652, 267, 476, 1220, 277, 1040, 9453, 5191, 540, 3903, 267, 4082, 543, 3661, 267, 3354, 568, 711, 2009, 269, 10801, 1686, 267, 476, 1556, 454, 763, 17312, 1684, 551, 9068, 568, 2012, 2016, 547, 513, 1305, 540, 4914, 3609, 4808, 1101, 30792, 676, 5518, 6723, 654, 269, 17312, 538, 1010, 30134, 618, 4633, 547, 519, 4271, 908, 1362, 540, 4639, 8672, 2016, 593, 4873, 476, 272, 267, 476, 1220, 273, 269, 634, 4507, 267, 3144, 1927, 267, 13890, 513, 3376, 1007, 5123, 538, 2475, 3609, 602, 1131, 1747, 3152, 8561, 593, 4108, 840, 15041, 1632, 267, 4108, 27166, 9497, 560, 31104, 3564, 4161, 19823, 796, 10561, 2962, 267, 543, 513, 7029, 547, 834, 2169, 2056, 9111, 267, 15698, 267, 543, 3354, 547, 782, 4525, 2668, 634, 3609, 729, 6101, 1242, 538, 513, 3561, 11331, 634, 2817, 8232, 15613, 540, 519, 2136, 2276, 540, 3013, 267, 3370, 593, 5181, 476, 736, 267, 476, 1220, 273, 563, 300, 4953, 308, 22295, 22494, 5442, 667, 14110, 5085, 8008, 16774, 454, 303, 11823, 589, 2388, 642, 269, 11572, 11534, 3789, 265, 3557, 540, 13458, 3557, 589, 2758, 6348, 15581, 589, 2758, 1230, 14846, 15348, 594, 269, 14329, 540, 4521, 630, 305, 719, 514, 2213, 4341, 267, 594, 269, 11534, 3789, 6214, 630, 299, 984, 2421, 532, 1851, 11307, 13846, 676, 2245, 267, 9821, 267, 1379, 25963, 267, 5250, 540, 11685, 13338, 5773, 264, 2046, 543, 6105, 267, 678, 718, 625, 267, 21146, 16311, 267, 25036, 1496, 2224, 540, 10470, 585, 2797, 6560, 8079, 1133, 935, 14846, 15348, 4083, 269, 11534, 1833, 630, 10048, 760, 1637, 540, 4083, 269, 6348, 8686, 2723, 550, 11059, 630, 12892, 13889, 585, 8013, 21146, 1184, 267, 2797, 30373, 540, 17710, 543, 24890, 267, 13178, 267, 13999, 282, 23405, 547, 1397, 18275, 267, 7130, 267, 4222, 540, 1857, 1489, 282, 1875, 8882, 2830, 1674, 540, 11685, 267, 21568, 540, 9316, 267, 3540, 27136, 17171, 267, 543, 6595, 9086, 264, 824, 3029, 540, 1875, 8686, 2723, 550, 2962, 264, 15329, 550, 15348, 8633, 269, 15329, 550, 3115, 1833, 585, 8633, 269, 2422, 540, 20222, 585, 16311, 566, 1852, 540, 1533, 1379, 4101, 1533, 1379, 8633, 269, 272, 269, 630, 303, 11823, 10456, 269, 11572, 8633, 269, 476, 272, 269, 7698, 9552, 1955, 1440, 2581, 618, 264, 8633, 269, 476, 273, 269, 2667, 817, 1588, 269, 630, 5715, 1204, 18050, 8633, 269, 476, 273, 269, 2667, 817, 1588, 2797, 12638, 264, 8633, 269, 476, 274, 269, 3557, 268, 614, 2928, 1143, 630, 339, 677, 675, 267, 2669, 8633, 269, 476, 274, 269, 28015, 1143, 630, 5719, 23949, 1204, 18050, 2695, 6758, 267, 14897, 1734, 267, 2797, 12638, 264, 5834, 13122, 264, 8633, 269, 476, 275, 269, 7136, 659, 637, 8633, 269, 476, 275, 269, 7136, 659, 637, 8633, 269, 476, 276, 269, 2871, 20482, 8759, 2782, 11071, 8633, 269, 476, 276, 269, 18378, 2782, 8633, 269, 476, 277, 269, 6184, 4026, 1890, 267, 7169, 630, 604, 8633, 269, 476, 277, 269, 6599, 333, 17462, 18025, 7035, 545, 1047, 270, 7049, 17462, 3811, 1040, 3557, 540, 2782, 2608, 6423, 5576, 13232, 1696, 620, 269, 630, 1960, 279, 281, 476, 6812, 268, 280, 264, 4586, 8072, 6343, 513, 16048, 6392, 2371, 267, 3947, 922, 12504, 543, 30256, 267, 621, 1131, 11349, 621, 689, 741, 24873, 9957, 1321, 13458, 786, 3142, 4708, 630, 4537, 664, 267, 476, 1960, 276, 5148, 2112, 6770, 2112, 630, 295, 600, 323, 21807, 267, 476, 1220, 271, 1040, 13458, 568, 519, 1439, 1587, 540, 5191, 267, 6913, 998, 2797, 2792, 3989, 607, 2048, 1492, 2702, 540, 1004, 547, 2769, 741, 5784, 267, 4555, 267, 543, 4978, 11884, 267, 1510, 519, 4250, 602, 789, 786, 581, 29802, 607, 513, 1267, 685, 1724, 538, 602, 2797, 1062, 269, 901, 2797, 476, 1321, 476, 1724, 454, 288, 15349, 6031, 269, 26588, 753, 5652, 630, 1220, 273, 1070, 1261, 2829, 602, 2048, 263, 342, 264, 324, 1590, 1174, 602, 621, 568, 711, 1152, 2043, 945, 616, 3160, 267, 855, 849, 519, 3084, 885, 540, 713, 1158, 602, 616, 3160, 269, 1358, 782, 17330, 547, 2661, 538, 9111, 267, 547, 2661, 896, 513, 2229, 602, 5673, 593, 873, 10200, 6489, 7717, 23216, 609, 26588, 753, 5652, 543, 2829, 602, 2048, 335, 668, 7627, 24339, 26494, 538, 519, 6806, 7239, 540, 519, 5664, 5101, 666, 1683, 513, 1305, 540, 2418, 543, 2093, 602, 2709, 513, 3532, 4244, 547, 519, 9029, 540, 519, 2186, 540, 17119, 1143, 602, 2221, 814, 1336, 4082, 538, 22681, 2534, 267, 1419, 1996, 772, 2529, 269, 4690, 630, 20360, 7717, 267, 476, 1220, 274, 1916, 23890, 568, 2009, 538, 12666, 11180, 1949, 543, 711, 538, 562, 1180, 655, 7095, 2797, 1949, 269, 1306, 6489, 7717, 4967, 267, 2048, 12047, 7095, 5238, 543, 5773, 267, 676, 7175, 519, 12560, 21047, 540, 20494, 341, 1734, 543, 3246, 9055, 585, 7589, 538, 13422, 1136, 267, 666, 948, 547, 2232, 1346, 5817, 2175, 602, 723, 23185, 685, 630, 20360, 7717, 267, 476, 1220, 274, 264, 9097, 5314, 543, 18483, 563, 276, 269, 9483, 543, 1514, 5072, 476, 276, 269, 272, 269, 9483, 5072, 1684, 2804, 2175, 4492, 18483, 286, 634, 2626, 9775, 281, 593, 519, 835, 1688, 267, 2048, 680, 4868, 540, 16555, 543, 930, 4081, 14172, 2303, 602, 2804, 2175, 899, 6710, 543, 4747, 8635, 1360, 1454, 2339, 585, 18483, 676, 7133, 2157, 540, 22975, 267, 4606, 540, 21440, 267, 543, 8754, 2797, 8082, 685, 263, 289, 584, 2998, 517, 267, 476, 1220, 275, 1040, 2201, 519, 824, 1688, 267, 930, 824, 5640, 3858, 602, 621, 568, 2352, 547, 3715, 513, 1463, 3095, 1063, 18483, 543, 2804, 2175, 630, 298, 745, 1122, 518, 543, 22503, 1188, 13960, 267, 476, 1220, 274, 320, 1040, 28015, 1143, 568, 513, 2797, 1966, 543, 621, 568, 711, 606, 2804, 1966, 269, 1717, 267, 6214, 5540, 519, 4346, 998, 519, 1374, 540, 2804, 4507, 269, 1403, 891, 4507, 1711, 811, 21440, 267, 4747, 8635, 543, 6710, 267, 1287, 1346, 1004, 945, 616, 7092, 1317, 540, 1346, 1135, 1182, 786, 6318, 741, 9739, 1996, 519, 14761, 269, 4475, 267, 972, 568, 513, 3095, 1063, 2804, 2175, 543, 18483, 267, 4352, 621, 568, 711, 513, 1463, 835, 269, 2368, 24192, 267, 16113, 5261, 8092, 525, 267, 25595, 9995, 2401, 267, 543, 19124, 7736, 619, 267, 723, 4294, 519, 2804, 2203, 540, 6760, 547, 30427, 18483, 269, 2560, 1492, 2804, 2203, 11729, 1906, 6405, 11236, 538, 810, 30138, 607, 519, 2078, 1063, 2344, 3255, 543, 7589, 538, 18483, 568, 7255, 267, 1317, 7589, 538, 22681, 6411, 676, 2043, 609, 1114, 4162, 5673, 593, 519, 5506, 602, 7589, 786, 3142, 827, 519, 5551, 2797, 1689, 267, 607, 1134, 607, 519, 11186, 2628, 4752, 585, 519, 1585, 2516, 2404, 609, 8236, 519, 9810, 1235, 262, 5551, 6663, 8957, 519, 20507, 2404, 609, 5821, 269, 898, 568, 2009, 267, 585, 1383, 267, 602, 1134, 268, 14445, 730, 2043, 786, 25409, 7119, 538, 22681, 2516, 952, 789, 1589, 602, 789, 786, 8263, 5718, 7158, 952, 789, 8011, 267, 610, 952, 789, 2697, 811, 9244, 609, 519, 3853, 540, 519, 22681, 3919, 982, 1447, 268, 14445, 730, 2043, 630, 298, 745, 1122, 518, 543, 22503, 1188, 13960, 267, 476, 1220, 274, 320, 282, 7736, 619, 543, 9995, 2401, 267, 476, 1220, 275, 1040, 901, 2186, 540, 13429, 12346, 593, 2048, 1492, 1966, 540, 18483, 602, 13000, 519, 1367, 3375, 547, 4497, 538, 22681, 2238, 607, 513, 7787, 3903, 11810, 267, 799, 568, 7361, 538, 1899, 609, 12170, 2963, 685, 263, 306, 1013, 749, 523, 22138, 267, 476, 1220, 276, 1040, 4475, 267, 2804, 2175, 798, 723, 606, 1764, 593, 519, 5072, 3123, 540, 18483, 267, 855, 713, 1281, 711, 8209, 1611, 602, 4057, 1004, 786, 581, 3238, 538, 18483, 811, 982, 519, 3638, 267, 610, 602, 4057, 2477, 786, 723, 811, 18483, 982, 3638, 3283, 563, 300, 4953, 308, 22295, 22494, 5442, 667, 14110, 5085, 8008, 16774, 454, 21156, 540, 13156, 18483, 607, 513, 3210, 4534, 2901, 1463, 610, 9940, 910, 1729, 6710, 610, 22293, 267, 594, 2303, 602, 621, 568, 811, 8308, 9763, 607, 513, 3210, 547, 2797, 2175, 543, 32618, 4606, 540, 967, 793, 640, 543, 17140, 602, 723, 2370, 547, 798, 609, 2804, 6381, 269, 594, 14353, 602, 568, 1946, 3486, 22681, 6411, 616, 811, 2693, 547, 581, 8149, 676, 1004, 945 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1185, 1044, 513, 1297, 540, 2296, 543, 1977, 11051, 4663, 532, 5245, 267, 519, 10515, 11017, 5174, 549, 5803, 11450, 5963, 7436, 519, 3811, 4663, 532, 540, 5245, 676, 18368, 12021, 11051, 269, 1452, 3769, 29775, 822, 639, 7935, 5803, 267, 9478, 16962, 267, 6004, 269, 543, 11427, 269, 8176, 3223, 534, 267, 543, 7395, 27932, 18703, 543, 808, 269, 595, 269, 5261, 5459, 563, 5804, 476, 6977, 279, 10515, 11017, 849, 3964, 513, 2797, 4876, 602, 16768, 1055, 7146, 6823, 2394, 476, 6245, 276, 269, 5384, 543, 2230, 1281, 711, 1450, 585, 1022, 11840, 566, 593, 10515, 11017, 779, 2797, 4876, 267, 824, 982, 17548, 602, 621, 729, 5266, 3811, 543, 646, 729, 513, 12595, 4759, 540, 519, 9757, 16972, 1612, 2993, 14613, 543, 15424, 26639, 593, 799, 646, 2893, 269, 898, 568, 267, 2705, 267, 538, 1010, 2048, 4752, 685, 2797, 1296, 602, 10515, 11017, 9663, 1492, 1042, 8241, 16222, 269, 901, 3769, 16565, 519, 20989, 9576, 267, 24332, 267, 799, 19890, 729, 26151, 547, 519, 2666, 538, 476, 6942, 273, 269, 1306, 519, 20989, 9576, 729, 796, 1231, 3293, 10515, 11017, 4682, 2048, 321, 755, 685, 1586, 269, 16480, 267, 646, 4646, 513, 12233, 543, 32206, 519, 20989, 9576, 269, 898, 729, 538, 713, 1974, 602, 646, 849, 5340, 538, 519, 7330, 1141, 646, 1558, 808, 5861, 269, 5261, 5459, 543, 7395, 27932, 18703, 267, 543, 538, 476, 6642, 272, 7722, 873, 547, 1685, 538, 5245, 563, 306, 4428, 1359, 689, 30456, 689, 476, 5908, 279, 267, 10515, 11017, 9307, 1010, 16468, 689, 519, 3942, 282, 606, 23318, 646, 6854, 1818, 585, 1985, 8938, 268, 15957, 1296, 269, 1261, 24389, 593, 3875, 2048, 11071, 6202, 685, 19150, 538, 5245, 543, 824, 3703, 10125, 855, 1705, 711, 2285, 909, 519, 16222, 2394, 519, 4571, 268, 6642, 271, 338, 269, 3571, 2663, 1296, 941, 5631, 7255, 609, 1010, 2797, 4876, 267, 607, 1134, 607, 3384, 519, 16972, 15798, 728, 1016, 7875, 540, 29813, 1370, 334, 267, 1141, 646, 5030, 609, 1010, 1920, 269, 769, 476, 6977, 276, 10515, 11017, 1185, 9310, 4498, 28625, 670, 2812, 6577, 267, 29775, 822, 639, 7935, 5803, 779, 11097, 15735, 11078, 2987, 25237, 269, 4498, 28625, 5747, 538, 476, 6977, 280, 267, 543, 13604, 267, 10515, 11017, 9310, 835, 540, 1200, 20766, 689, 1200, 1101, 7365, 267, 21667, 670, 2812, 6577, 267, 538, 476, 5908, 272, 269, 10515, 11017, 1185, 1614, 1453, 689, 1010, 1101, 7365, 267, 1614, 20766, 267, 543, 5722, 1453, 689, 1010, 2034, 7365, 267, 1079, 14930, 543, 2947, 20766, 269, 31453, 585, 835, 8250, 689, 1010, 1101, 7365, 267, 21667, 543, 519, 824, 1453, 15068, 1864, 950, 10515, 11017, 5747, 538, 476, 5002, 277, 563, 1607, 5618, 17250, 3085, 1406, 2731, 798, 5126, 547, 519, 6909, 1272, 540, 6723, 10515, 11017, 269, 1306, 606, 17076, 267, 646, 7463, 538, 2048, 869, 18792, 8730, 855, 729, 849, 3811, 538, 2048, 5035, 673, 685, 1568, 267, 971, 607, 11184, 8834, 1855, 1794, 548, 538, 15593, 573, 534, 779, 634, 3427, 585, 20280, 531, 267, 7585, 3600, 637, 538, 15593, 573, 534, 779, 634, 681, 11040, 267, 25414, 700, 2794, 7219, 538, 717, 9529, 19431, 779, 2701, 853, 334, 3591, 1677, 1230, 20960, 269, 5487, 684, 4897, 582, 717, 984, 2692, 538, 9956, 779, 634, 8585, 31008, 540, 24131, 269, 634, 4207, 8241, 10404, 6276, 8055, 4330, 10515, 11017, 779, 13007, 543, 2702, 547, 6707, 9446, 968, 1492, 11432, 2730, 588, 565, 7190, 543, 791, 523, 25523, 1076, 23535, 7190, 540, 1978, 2010, 540, 8103, 9789, 5639, 267, 519, 32376, 267, 519, 5322, 267, 519, 4082, 540, 519, 17076, 779, 2934, 267, 941, 782, 538, 3501, 10103, 609, 519, 2790, 543, 5837, 7329, 3930, 2106, 322, 6652, 625, 540, 519, 1268, 646, 6719, 267, 865, 602, 519, 812, 5128, 11542, 1354, 596, 513, 2713, 4641, 6100, 901, 5267, 602, 972, 729, 606, 8650, 2631, 540, 8343, 540, 1483, 1272, 267, 543, 513, 2186, 540, 2038, 2048, 11499, 1143, 685, 538, 10515, 11017, 779, 3197, 267, 23344, 538, 9247, 15398, 13371, 5107, 269, 901, 568, 1264, 7757, 676, 1010, 16222, 17907, 4526, 1673, 1311, 528, 1202, 14571, 593, 2048, 322, 8091, 1942, 11167, 685, 585, 1010, 3197, 543, 24299, 630, 288, 26894, 9218, 540, 22335, 1916, 2026, 1134, 607, 2679, 26974, 637, 267, 1519, 519, 25905, 20989, 267, 24332, 267, 9591, 1007, 2409, 540, 10229, 2982, 267, 543, 8744, 3486, 5159, 547, 5245, 267, 10515, 11017, 849, 5280, 547, 3715, 10677, 9086, 585, 24420, 23412, 538, 5245, 543, 729, 835, 540, 519, 1101, 547, 12167, 585, 513, 2048, 25217, 540, 9117, 547, 1020, 8241, 9117, 685, 630, 288, 26894, 9218, 540, 22335, 1916, 290, 641, 11017, 849, 23647, 543, 4547, 4342, 1564, 547, 2263, 519, 9703, 5245, 267, 930, 540, 519, 4342, 1564, 602, 10515, 11017, 16865, 941, 593, 519, 29070, 8738, 651, 543, 654, 1571, 16939, 630, 5908, 271, 268, 8618, 1040, 1733, 12241, 8227, 543, 9614, 540, 519, 595, 8145, 11448, 25052, 267, 24332, 267, 646, 11231, 585, 519, 1101, 19666, 17891, 607, 1417, 936, 24332, 543, 5280, 547, 6338, 2296, 4278, 16640, 543, 3043, 2220, 753, 547, 5245, 269, 901, 568, 1175, 519, 2048, 339, 760, 540, 519, 4672, 6199, 685, 540, 519, 5963, 7415, 6723, 10515, 11017, 563, 4002, 4873, 476, 275, 267, 476, 9965, 280, 267, 538, 519, 1647, 540, 513, 17638, 5162, 543, 1447, 982, 476, 1240, 3275, 2094, 2048, 5575, 5590, 25557, 8730, 519, 1101, 4062, 540, 2048, 310, 3480, 685, 16222, 729, 3812, 538, 519, 1007, 12733, 1107, 634, 5589, 745, 1746, 20229, 676, 6723, 10787, 638, 9618, 269, 901, 1101, 26974, 3740, 2504, 538, 519, 1007, 12733, 729, 15841, 538, 22632, 540, 3751, 6723, 8633, 779, 14512, 267, 5340, 676, 513, 1895, 540, 7164, 20903, 338, 267, 547, 606, 16918, 5304, 540, 827, 476, 2568, 1004, 267, 1519, 17135, 14880, 22361, 760, 267, 519, 13149, 17620, 10492, 543, 741, 24726, 267, 607, 1134, 607, 519, 1906, 2048, 16451, 13896, 8730, 543, 729, 5340, 538, 513, 986, 916, 327, 871, 548, 20903, 554, 583, 269, 4033, 982, 713, 711, 1454, 568, 1634, 827, 713, 1101, 26974, 3740, 2504, 267, 20866, 267, 972, 616, 513, 1297, 540, 2188, 602, 2611, 607, 9645, 7506, 593, 519, 1915, 540, 519, 4207, 8241, 17076, 269, 1452, 1331, 1107, 519, 7591, 267, 519, 2048, 8110, 14127, 6611, 8730, 519, 2048, 30631, 8730, 543, 519, 2920, 832, 269, 901, 3126, 540, 9708, 786, 1413, 693, 1142, 540, 891, 2188, 543, 875, 789, 9305, 547, 2413, 8241, 16222, 267, 4670, 267, 543, 8613, 2259, 538, 8108, 519, 1915, 540, 519, 8241, 17076, 269, 901, 2022, 4145, 2048, 763, 2920, 832, 17483, 275, 269, 634, 2920, 832, 454, 2171, 798, 711, 917, 519, 4408, 540, 519, 20903, 11051, 945, 5340, 634, 5589, 745, 1746, 20229, 269, 1548, 649, 798, 917, 568, 602, 2048, 16341, 540, 519, 11051, 4203, 26860, 2933, 609, 1390, 6891, 267, 543, 4607, 519, 17192, 540, 519, 5304, 685, 630, 310, 520, 7219, 14210, 577, 267, 589, 13159, 10055, 540, 519, 5590, 25557, 693, 5800, 12722, 267, 538, 1715, 3162, 12986, 269, 5507, 269, 476, 9692, 274, 269, 476, 1839, 1040, 5015, 267, 789, 1185, 1100, 2362, 2832, 982, 2048, 327, 3518, 569, 547, 10161, 513, 12837, 685, 630, 21837, 19811, 269, 1323, 10055, 540, 519, 2296, 2051, 3415, 538, 1715, 3162, 12986, 269, 5507, 269, 476, 9692, 279, 1040, 898, 949, 267, 2705, 267, 581, 10924, 602, 789, 941, 10838, 519, 1906, 945, 1223, 1224, 267, 543, 7654, 2328, 269, 898, 949, 849, 581, 21230, 10924, 602, 789, 949, 723, 2938, 538, 4789, 513, 2504, 540, 634, 5589, 745, 1746, 20229, 563, 8138, 8019, 267, 15029, 25127, 267, 789, 949, 723, 24018, 741, 12644, 593, 519, 1699, 2511, 540, 519, 9117, 538, 519, 2296, 16222, 538, 519, 3735, 268, 1240, 628, 11416, 269, 901, 568, 30833, 676, 971, 11051, 607, 6424, 12275, 4459, 630, 14378, 278, 268, 10082, 280, 1070, 8861, 590, 1342, 976, 630, 11260, 276, 268, 8146, 272, 1070, 3627, 22361, 760, 918, 655, 1076, 630, 11260, 278, 268, 9264, 274, 1070, 543, 667, 7702, 16888, 630, 12293, 272, 268, 8687, 277, 1040, 898, 568, 3833, 2009, 602, 519, 20903, 11051, 949, 723, 2938, 891, 2442, 11051, 267, 3226, 667, 7702, 16888, 945, 729, 519, 3056, 13371, 957, 816, 540, 519, 942, 563, 763, 9117, 2511, 949, 723, 1044, 3879, 13577, 543, 3087, 894, 267, 9148, 532, 519, 5266, 2048, 668, 4842, 685, 543, 2048, 338, 550, 2939, 1275, 685, 540, 4207, 2442, 16919, 269, 1717, 267, 538, 14621, 547, 891, 20903, 11051, 685, 2773, 267, 1022, 7050, 9694, 1005, 949, 723, 1044, 10169, 1964, 11712, 1813, 547, 519, 15982, 2048, 3080, 7304, 7112, 685, 2773, 2230, 540, 513, 1507, 20903, 554, 583, 269, 2290, 936, 7721, 322, 1243, 1688, 5951, 949, 723, 5679, 18088, 936, 513, 23156, 543, 519, 2898, 1747, 1131, 723, 8854, 909, 538, 513, 1025, 10270, 454, 1432, 849, 666, 581, 10924, 568, 602, 519, 20903, 338, 941, 606, 26254, 540, 2048, 600, 19812, 685, 11051, 563, 1103, 2413, 5245, 2048, 600, 19812, 16222, 685, 568, 519, 4102, 543, 1034, 3309, 540, 26974, 3740, 2534, 543, 6278, 538, 519, 2197, 269, 5015, 267, 2436, 621, 581, 538, 513, 1164, 1153, 610, 6280, 2504, 610, 609, 513, 2199, 23153, 16222, 2754, 267, 713, 568, 1141, 1034, 8241, 11051, 2253, 563, 8072, 15578, 623, 6369, 312, 7246, 298, 2207, 8730, 2048, 21788, 2910, 7419, 15045, 312, 24912, 23184, 7495, 685, 1299, 681, 15477, 12224, 590, 2839, 288, 310, 17751, 454, 24171, 918, 2940, 958, 779, 3209, 634, 7591, 20447, 630, 2735, 278, 1070, 543, 7033, 828, 331, 820, 654, 1068, 523, 321, 6033, 779, 3942, 9542, 3776, 13474, 779, 6153, 630, 2735, 279, 264, 568, 827, 713, 20903, 2504, 540, 634, 5589, 745, 1746, 20229, 269, 7033, 828, 331, 820, 654, 1068, 523, 321, 6033, 779, 1404, 814, 1044, 6707, 588, 3042, 2429, 519, 1158, 267, 568, 1869, 1373, 3812, 267, 543, 568, 3226, 2442, 609, 12416, 3506, 563, 1103, 918, 2940, 958, 779, 3209, 543, 654, 1068, 523, 321, 6033, 779, 1404, 267, 519, 20903, 17076, 7917, 28788, 12537, 630, 11260, 279, 268, 5197, 280, 264, 568, 513, 4759, 540, 519, 5641, 585, 634, 5589, 745, 1746, 20229, 269, 1703, 568, 1100, 6169, 602, 713, 729, 519, 2013, 267, 20866, 267, 5103, 25127, 267, 621, 568, 3833, 2009, 607, 7917, 28788, 12537, 814, 519, 11984, 540, 1373, 10838, 519, 1101, 540, 6592, 8241, 11051, 563, 27144, 28788, 12537, 729, 4535, 538, 5507, 538, 476, 11260, 279, 269, 1635, 476, 9965, 273, 646, 1185, 1044, 4857, 607, 513, 29200, 555, 3971, 267, 729, 26722, 540, 2048, 6588, 526, 561, 2117, 523, 344, 8730, 543, 30992, 547, 2669, 269, 901, 729, 862, 3176, 547, 6283, 267, 543, 8754, 28788, 12537, 1336, 5128, 607, 851, 540, 519, 2048, 5575, 18307, 564, 685, 593, 519, 6928, 14886, 1222, 563, 306, 573, 12537, 729, 513, 2048, 339, 4459, 3122, 9957, 4438, 519, 22116, 547, 5800, 12722, 267, 1010, 2012, 729, 6592, 676, 700, 339, 269, 25453, 18412, 593, 1079, 14026, 543, 729, 2322, 538, 2048, 597, 976, 685, 585, 2048, 574, 13630, 29561, 9957, 1733, 12241, 621, 568, 7164, 2436, 610, 711, 646, 729, 513, 4759, 540, 519, 20903, 5641, 540, 634, 5589, 745, 1746, 20229, 267, 20866, 267, 1010, 2012, 31272, 8986, 538, 476, 9965, 280, 267, 1373, 3238, 609, 519, 16304, 540, 7788, 16026, 267, 519, 1101, 4807, 547, 581, 13401, 630, 1721, 17403, 264, 538, 519, 1007, 12733, 269, 769, 476, 9692, 273, 28788, 12537, 4607, 513, 19585, 533, 30972, 543, 513, 2407, 533, 30972, 538, 476, 9692, 275, 267, 609, 513, 4579, 547, 581, 513, 536, 6033, 585, 519, 17055, 10136, 563, 1103, 476, 9692, 277, 646, 8118, 513, 476, 6344, 10160, 16222, 538, 13852, 18007, 630, 852, 2349, 662, 9335, 1070, 17638, 267, 609, 519, 10479, 540, 17135, 3627, 28865, 269, 1261, 2322, 593, 22956, 18007, 324, 779, 634, 3004, 3022, 344, 540, 13191, 1744, 648, 267, 799, 729, 4553, 676, 824, 267, 1519, 513, 25954, 540, 634, 5589, 745, 1746, 20229, 269, 10251, 267, 28788, 12537, 779, 16222, 729, 6806, 538, 476, 5197, 271, 267, 1373, 9833, 607, 11851, 532, 513, 2048, 14585, 4533, 532, 3310, 685, 593, 519, 19679, 326, 1782, 4884, 540, 17638, 563, 7628, 519, 5618, 1974, 538, 799, 28788, 12537, 779, 16222, 13234, 267, 646, 3812, 606, 9542 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2476, 32716, 267, 855, 513, 10792, 2262, 13489, 338, 909, 10845, 1848, 0, 3528, 18842, 3559, 548, 24305, 1231, 267, 12854, 267, 12463, 295, 267, 5274, 3004, 16751, 2657, 8889, 20180, 528, 454, 14737, 528, 640, 1072, 3028, 7426, 543, 3173, 2087, 519, 2729, 540, 519, 14605, 6039, 267, 9207, 5703, 267, 2760, 6039, 543, 1346, 911, 15436, 1242, 676, 519, 32012, 885, 540, 1480, 19338, 269, 3776, 1034, 7925, 5095, 4324, 689, 741, 5075, 543, 18532, 3210, 547, 741, 2115, 269, 20523, 5698, 693, 519, 3084, 267, 1533, 267, 17174, 543, 2199, 2157, 786, 3986, 3646, 547, 1439, 1480, 19338, 563, 9336, 4989, 2066, 519, 2136, 2276, 267, 649, 29428, 19724, 640, 2657, 13600, 2443, 513, 942, 6825, 676, 2146, 4656, 2238, 543, 5717, 827, 10770, 1072, 13103, 1851, 7292, 543, 6803, 18441, 269, 634, 5072, 540, 519, 16033, 730, 3923, 4266, 1394, 547, 476, 4489, 276, 543, 5718, 689, 3220, 269, 3883, 518, 570, 269, 6115, 269, 3683, 519, 2250, 476, 1911, 1296, 972, 723, 1044, 19325, 971, 607, 519, 5305, 540, 519, 7797, 540, 519, 14199, 779, 17130, 10414, 593, 4563, 543, 19724, 640, 2657, 676, 519, 772, 2529, 269, 4972, 540, 2657, 543, 5274, 7896, 538, 476, 2735, 276, 269, 901, 19506, 5216, 31891, 1867, 267, 2968, 1634, 607, 519, 834, 3891, 1188, 2401, 7797, 257, 1310, 1287, 670, 9391, 14199, 20152, 1261, 1188, 2401, 269, 634, 17130, 10414, 3989, 18441, 607, 2349, 2931, 267, 3571, 3966, 923, 267, 7111, 4892, 543, 7489, 18025, 6680, 6816, 619, 267, 543, 6976, 1880, 3007, 547, 519, 2362, 2669, 3928, 540, 2349, 2931, 543, 824, 18441, 538, 6476, 547, 1733, 2572, 269, 634, 3178, 543, 4560, 540, 891, 5359, 4330, 538, 1469, 543, 607, 2760, 1354, 267, 519, 21376, 1072, 543, 1072, 1416, 1995, 540, 7292, 543, 6803, 18441, 538, 519, 2136, 2276, 563, 9336, 5130, 649, 29428, 2817, 26913, 543, 5274, 3004, 16751, 10644, 13600, 543, 8661, 519, 16683, 540, 519, 15357, 618, 540, 519, 661, 2006, 322, 11692, 1160, 17474, 269, 589, 30814, 1160, 17474, 568, 9783, 547, 5000, 2962, 538, 519, 2136, 2276, 269, 7831, 1032, 513, 8549, 21864, 11059, 4643, 593, 7896, 547, 7861, 15501, 540, 5274, 3004, 16751, 538, 519, 2136, 2276, 729, 5950, 269, 901, 2947, 4458, 1544, 7125, 585, 11558, 267, 5698, 267, 543, 4390, 540, 6408, 2533, 2066, 2229, 543, 609, 1875, 1790, 3016, 4891, 269, 2290, 540, 519, 1544, 779, 4295, 2418, 568, 519, 6209, 6278, 540, 15000, 538, 1982, 1646, 267, 6388, 543, 6268, 563, 17746, 1192, 532, 543, 24367, 519, 15167, 454, 299, 9722, 12102, 1072, 543, 1480, 19338, 6238, 609, 606, 9237, 6643, 827, 519, 1514, 21876, 540, 1072, 602, 1764, 7925, 5095, 543, 6408, 22097, 563, 12892, 21876, 540, 1072, 616, 519, 6381, 538, 799, 1004, 616, 4535, 267, 1332, 909, 267, 2661, 543, 960, 269, 23207, 569, 649, 616, 13156, 1480, 19338, 607, 513, 1857, 1072, 1966, 267, 711, 1175, 513, 1876, 11268, 835, 267, 799, 10741, 519, 7450, 585, 606, 5385, 540, 2093, 543, 1655, 2853, 689, 519, 12102, 1072, 2361, 269, 634, 1514, 21876, 540, 1072, 616, 519, 24561, 5160, 602, 12622, 519, 3584, 563, 2304, 896, 26061, 1249, 568, 602, 519, 5318, 5354, 540, 9601, 538, 519, 2136, 2276, 616, 1004, 540, 2681, 269, 4340, 547, 513, 476, 1001, 274, 4972, 540, 10456, 1867, 540, 9672, 3023, 19338, 9601, 4171, 5198, 729, 1634, 267, 476, 2412, 2600, 941, 4563, 267, 476, 2918, 2600, 941, 6519, 267, 476, 2537, 2600, 941, 17104, 267, 476, 275, 2600, 941, 7489, 267, 543, 476, 277, 2600, 941, 824, 269, 19452, 540, 9672, 4074, 19338, 9601, 267, 476, 6321, 2600, 941, 17104, 267, 476, 1240, 2600, 941, 824, 267, 476, 1428, 2600, 941, 7489, 267, 476, 1015, 2600, 941, 4563, 267, 543, 476, 273, 2600, 941, 6519, 269, 31158, 1194, 3101, 891, 22097, 543, 2157, 540, 13438, 1281, 711, 24390, 938, 1620, 602, 9601, 2097, 689, 782, 15211, 540, 1272, 267, 621, 8325, 839, 938, 7104, 2702, 547, 581, 26374, 563, 2026, 811, 12102, 7674, 3906, 543, 9945, 1451, 827, 1480, 19338, 789, 616, 4742, 13730, 267, 7722, 543, 4712, 4891, 269, 1280, 1383, 267, 25214, 4563, 30793, 2471, 29550, 971, 607, 1975, 601, 2006, 5441, 543, 20999, 2160, 723, 23032, 19014, 799, 3177, 513, 3760, 585, 519, 9525, 540, 15000, 543, 519, 6626, 2146, 269, 634, 10029, 585, 7111, 4892, 568, 4058, 2081, 547, 4497, 17174, 6107, 543, 17650, 531, 30793, 2471, 543, 29550, 563, 296, 2899, 4862, 2576, 2161, 267, 968, 1492, 2104, 568, 513, 2898, 2603, 540, 1018, 649, 798, 1318, 1631, 1193, 2426, 1927, 1848, 9406, 1631, 1934, 616, 930, 3527, 649, 666, 798, 563, 30399, 267, 1514, 1689, 3646, 1451, 2994, 543, 1655, 2853, 689, 1142, 824, 269, 2334, 568, 875, 3356, 4523, 269, 634, 16107, 540, 6791, 1063, 12102, 1072, 543, 1480, 19338, 568, 606, 2856, 4171, 942, 814, 2097, 269, 634, 4102, 1072, 13103, 602, 2291, 616, 1063, 1346, 945, 616, 1863, 543, 1346, 945, 616, 10437, 269, 11554, 1927, 649, 666, 2490, 6125, 720, 883, 5191, 543, 7092, 883, 11808, 269, 0, 2750, 18075, 1215, 3509, 2405, 338, 286, 589, 29237, 781, 7126, 1299, 654, 3994, 338, 454, 3528, 23718, 32684, 267, 6789, 305, 301, 16065, 27752, 454, 1692, 1082, 2924, 1281, 621, 2731, 1491, 547, 1832, 689, 1818, 513, 4636, 286, 6884, 707, 6646, 7245, 5773, 666, 1745, 513, 3787, 899, 4881, 513, 28618, 269, 1411, 1589, 519, 1843, 540, 519, 3014, 568, 547, 1205, 998, 607, 3533, 607, 2009, 543, 1745, 1978, 596, 666, 1294, 519, 1259, 856, 1175, 6619, 269, 634, 1966, 568, 267, 544, 30769, 616, 16602, 269, 2290, 4636, 2490, 666, 1689, 513, 3339, 6521, 883, 513, 3781, 332, 732, 540, 4539, 563, 1103, 5168, 267, 519, 1152, 2922, 543, 2500, 1259, 547, 1205, 998, 513, 28618, 568, 547, 2322, 707, 1688, 593, 519, 3774, 543, 1832, 621, 972, 1247, 596, 1246, 519, 7140, 267, 1100, 2339, 1018, 269, 10426, 532, 6527, 568, 1454, 519, 1482, 267, 952, 596, 6529, 547, 707, 15963, 267, 20549, 547, 1491, 2110, 11912, 543, 1246, 782, 519, 2924, 596, 666, 267, 519, 7140, 786, 1291, 596, 543, 707, 2550, 547, 513, 2922, 10678, 563, 1432, 616, 891, 2924, 543, 875, 798, 789, 1860, 519, 2298, 540, 8808, 1416, 596, 2811, 4758, 707, 3461, 286, 1703, 616, 1082, 8747, 2139, 269, 1280, 713, 4901, 649, 3513, 3802, 998, 5216, 2924, 607, 789, 1131, 2049, 1282, 519, 7245, 1184, 563, 272, 269, 9406, 2601, 281, 1403, 519, 2025, 812, 538, 476, 2190, 289, 568, 586, 2454, 543, 621, 781, 1079, 522, 262, 22018, 538, 519, 6640, 267, 1018, 616, 707, 3681, 888, 288, 269, 19171, 1010, 7450, 543, 27642, 596, 666, 1405, 5873, 1864, 563, 289, 269, 12532, 1472, 609, 707, 588, 996, 24005, 538, 707, 10772, 865, 596, 2731, 666, 1405, 5873, 1864, 563, 290, 269, 12315, 1864, 632, 1067, 565, 543, 4307, 1120, 534, 547, 2322, 1864, 547, 3207, 563, 291, 269, 1975, 754, 930, 942, 609, 1864, 3843, 547, 9350, 1010, 4160, 563, 2467, 616, 782, 5686, 540, 4128, 585, 3053, 908, 2576, 269, 2368, 540, 873, 616, 3617, 267, 930, 616, 711, 269, 6969, 596, 2479, 3914, 519, 6646, 7047, 1118, 2386, 596, 917, 1946, 596, 616, 4758, 513, 6646, 543, 602, 519, 3075, 814, 1044, 9516, 585, 602, 946, 563, 273, 269, 9406, 942, 281, 1684, 596, 917, 707, 9872, 781, 3609, 593, 875, 2038, 610, 3735, 16516, 6527, 666, 581, 2016, 286, 1548, 827, 929, 333, 6527, 286, 3657, 596, 1369, 891, 6724, 609, 519, 6646, 596, 616, 827, 547, 2285, 286, 5620, 596, 25295, 519, 4908, 610, 5021, 18262, 9993, 888, 274, 269, 9406, 3075, 281, 4762, 3305, 707, 9753, 267, 6166, 707, 1098, 8282, 19182, 2026, 267, 6166, 519, 6646, 538, 707, 1688, 609, 519, 2854, 12319, 269, 1772, 519, 10189, 16856, 543, 1354, 922, 1163, 19418, 4266, 286, 6496, 621, 1413, 519, 1259, 621, 781, 9277, 547, 1413, 286, 1772, 713, 3075, 3617, 585, 707, 3461, 11959, 543, 2168, 1134, 5630, 286, 6496, 519, 1973, 17511, 6474, 543, 723, 596, 9672, 713, 609, 1776, 12016, 888, 275, 269, 9406, 9570, 281, 11088, 268, 4762, 3305, 707, 9753, 267, 6166, 707, 19182, 2026, 267, 6166, 602, 519, 6646, 538, 707, 1688, 13292, 519, 18262, 593, 707, 12319, 269, 1403, 621, 3085, 1405, 267, 568, 972, 513, 811, 3617, 4781, 286, 6726, 725, 666, 2014, 6959, 543, 1058, 581, 31965, 8164, 2009, 269, 6744, 3054, 7466, 543, 1450, 1866, 547, 2638, 596, 1586, 269, 1772, 519, 2179, 540, 6646, 596, 2811, 827, 547, 2285, 609, 538, 10257, 6724, 585, 602, 3075, 781, 13121, 1645, 888, 276, 269, 9406, 3461, 281, 6744, 519, 2012, 593, 707, 27107, 269, 6744, 519, 2012, 593, 707, 6646, 269, 6744, 891, 1996, 1142, 824, 269, 2961, 787, 519, 27107, 883, 519, 4055, 267, 2638, 519, 2012, 6512, 543, 8231, 958, 2307, 519, 3461, 741, 2012, 269, 4762, 3305, 713, 1344, 609, 707, 27107, 269, 1403, 707, 3461, 568, 8572, 547, 2697, 2933, 267, 13182, 741, 8446, 609, 513, 1920, 4759, 610, 2034, 12016, 563, 277, 269, 9406, 8905, 281, 1215, 568, 713, 1880, 6646, 9277, 547, 4283, 519, 1560, 286, 1772, 519, 1106, 596, 723, 538, 707, 1688, 2111, 547, 1246, 602, 8905, 286, 1403, 538, 8969, 267, 6166, 24948, 6127, 1354, 28720, 6527, 602, 1058, 581, 15179, 539, 269, 1548, 2186, 540, 5114, 942, 666, 596, 2503, 689, 713, 7245, 8905, 286, 11408, 6166, 10001, 1569, 543, 3261, 520, 8864, 540, 519, 16788, 543, 3515, 1373, 1031, 585, 10001, 7245, 563, 278, 269, 9406, 1505, 281, 1548, 2027, 15416, 616, 1572, 585, 286, 6496, 519, 3461, 991, 547, 2611, 20005, 286, 9701, 713, 6646, 581, 16760, 286, 1215, 3728, 1058, 713, 10001, 6646, 581, 14593, 286, 1684, 824, 4218, 5928, 991, 547, 581, 4371, 1282, 713, 6646, 286, 6496, 707, 3461, 1174, 1018, 6646, 646, 568, 8391, 543, 1946, 286, 6496, 646, 3858, 547, 519, 2126, 888, 279, 269, 9406, 12319, 281, 634, 1034, 3617, 942, 547, 5750, 513, 6646, 568, 950, 621, 568, 2016, 269, 5620, 596, 7150, 4010, 1018, 596, 5795, 267, 950, 267, 875, 543, 1141, 952, 3617, 286, 9894, 596, 4063, 1022, 6381, 602, 3366, 596, 547, 1683, 6646, 971, 607, 1164, 1973, 4006, 2542, 610, 20286, 540, 1928, 286, 9894, 596, 1246, 909, 609, 707, 3461, 1310, 621, 729, 4218, 3603, 543, 3561, 519, 4093, 286, 9894, 596, 1129, 707, 2012, 888, 2005, 949, 3100, 899, 513, 1360, 524, 13246, 727, 1305, 540, 9021, 267, 855, 952, 596, 2811, 8348, 547, 1118, 607, 1082, 1318, 11804, 7140, 607, 621, 3217, 519, 1576, 786, 2760, 1291, 596, 4636, 269, 2659, 2550, 543, 707, 4708, 540, 2247, 786, 9684, 596, 585, 621, 950, 596, 1265, 3054, 9108, 693, 519, 824, 1439, 540, 519, 6646, 28618, 563, 9209, 2873, 538, 713, 3390, 912, 32306, 513, 19410, 454, 8923, 1832, 538, 2247, 602, 782, 8292, 616, 15645, 730, 269, 7490, 798, 711, 946, 513, 28417, 20438, 610, 513, 6389, 607, 707, 2012, 267, 610, 3116, 621, 786, 581, 25216, 269, 2913, 781, 723, 513, 2123, 543, 6209, 6643, 3079, 269, 8729, 585, 707, 8292, 2336, 1103, 901, 17136, 454, 299, 714, 4144, 12672, 16037, 0, 2026, 2029, 3587, 24819, 267, 621, 849, 30283, 519, 991, 585, 1978, 1983, 269, 1772, 602, 1434, 610, 3983, 888, 974, 9592, 2306, 721, 1312, 546, 3784, 543, 21273, 269, 769, 938, 6639, 2085, 267, 649, 946, 6191, 547, 798, 1082, 1919, 649, 1031, 547, 798, 585, 6000, 267, 865, 621, 12582, 1406, 581, 9670, 602, 649, 2461, 3478, 8338, 693, 7900, 1978, 4247, 269, 1284, 723, 1044, 22041, 676, 4720, 547, 18359, 938, 3908, 19206, 676, 15268, 547, 938, 1604, 563, 288, 1360, 2219, 1008, 3183, 2376, 563, 268, 1548, 616, 519, 1983, 540, 519, 1007, 2085, 888, 268, 1548, 568, 519, 4569, 540, 4804, 888, 268, 1215, 1454, 2362, 1931, 666, 649, 1205, 538, 3206, 888, 268, 1548, 666, 649, 798, 602, 6191, 666, 1406, 798, 888, 268, 1548, 1983, 798, 649, 991, 547, 11883, 609, 1689, 888, 5804, 25014, 3821, 12389, 8725, 269, 5853, 619, 693, 4518, 281, 12267, 540, 3399, 5725, 685, 7216, 17963, 454, 7343, 30068, 838, 12541, 1562, 3914, 741, 5207, 3432, 1318, 856, 540, 519, 7161, 267, 543, 6108, 519, 1964, 540, 519, 5198, 23646, 1524, 269, 634, 23602, 3500, 1524, 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 ]
[ 16313, 625, 602, 616, 1175, 269, 634, 1966, 568, 711, 519, 21257, 282, 621, 779, 519, 28170, 542, 543, 21440, 269, 1717, 267, 538, 519, 1439, 540, 519, 3126, 267, 595, 5407, 267, 7715, 2740, 607, 7599, 15596, 267, 16976, 547, 23271, 519, 21257, 538, 3870, 540, 513, 14081, 563, 1805, 3994, 17052, 723, 513, 6305, 1747, 538, 519, 3126, 269, 9453, 741, 8994, 3972, 543, 2463, 267, 519, 2185, 5869, 1149, 1223, 2760, 723, 24057, 3497, 519, 7599, 15596, 779, 9409, 12512, 269, 634, 6690, 685, 17052, 609, 741, 2379, 806, 267, 543, 1256, 543, 5514, 11608, 267, 1831, 1271, 538, 20547, 519, 6433, 269, 700, 5819, 1399, 267, 15093, 267, 543, 2648, 616, 519, 1483, 2645, 602, 3142, 1524, 519, 9409, 12512, 563, 16446, 18277, 568, 1776, 1271, 14953, 538, 634, 30803, 20048, 322, 3796, 269, 4107, 540, 519, 968, 1440, 514, 806, 892, 616, 538, 991, 540, 25863, 950, 789, 4283, 519, 1650, 269, 16423, 568, 513, 19979, 267, 16220, 9168, 812, 609, 513, 4158, 2250, 269, 774, 11448, 568, 513, 15483, 344, 555, 3971, 269, 10496, 514, 568, 513, 19289, 9856, 609, 5258, 10121, 2906, 269, 634, 3791, 5869, 710, 267, 595, 816, 267, 849, 568, 12735, 4240, 609, 16203, 585, 2324, 585, 519, 16264, 1119, 7949, 585, 1296, 607, 2212, 27732, 269, 3962, 540, 873, 9060, 25863, 998, 15093, 543, 1065, 9653, 676, 519, 1439, 540, 519, 3126, 563, 19284, 1082, 7141, 9089, 267, 634, 30803, 20048, 2873, 616, 5266, 2973, 2949, 269, 3687, 2711, 1835, 817, 1893, 269, 3687, 2711, 19528, 540, 4568, 610, 5061, 269, 20290, 1100, 4638, 1543, 281, 972, 616, 1896, 13730, 21098, 525, 1063, 1292, 3197, 267, 855, 621, 3085, 1406, 979, 20991, 982, 602, 269, 1703, 616, 930, 8429, 19528, 540, 968, 1260, 3966, 687, 1222, 892, 11623, 543, 968, 525, 322, 677, 892, 5323, 1749, 267, 799, 594, 17429, 1027, 1185, 547, 798, 609, 930, 2186, 540, 14382, 3482, 5323, 1749, 269, 1809, 602, 779, 621, 563, 306, 15929, 7168, 1390, 865, 2484, 286, 3367, 593, 585, 519, 711, 865, 7168, 563, 3080, 6161, 594, 1185, 609, 519, 3126, 729, 875, 2725, 9807, 17411, 519, 4414, 681, 4575, 32431, 1427, 2454, 538, 1433, 1079, 267, 25753, 2280, 269, 25753, 2280, 729, 1390, 281, 535, 30711, 543, 9157, 269, 1809, 2725, 9807, 23297, 547, 6335, 519, 1650, 865, 519, 16423, 3587, 519, 968, 1440, 1550, 1848, 594, 723, 6404, 4606, 827, 713, 269, 2201, 519, 835, 1688, 267, 972, 779, 1390, 25863, 1934, 281, 519, 16423, 1065, 757, 950, 646, 8813, 585, 519, 8004, 543, 22939, 519, 1964, 540, 519, 2835, 3843, 547, 948, 519, 1434, 2427, 269, 1809, 593, 519, 824, 1688, 267, 594, 1589, 2725, 9807, 27390, 519, 6891, 540, 519, 3312, 18912, 9661, 676, 4657, 519, 18896, 883, 519, 1434, 18560, 269, 594, 3622, 1810, 1406, 899, 13602, 1141, 513, 5636, 664, 3090, 568, 17814, 607, 513, 1434, 18560, 269, 1656, 538, 18912, 8941, 267, 20384, 616, 519, 3983, 16921, 269, 1809, 1287, 267, 538, 14619, 267, 853, 269, 14731, 1705, 28099, 655, 519, 18896, 540, 717, 889, 321, 1470, 267, 865, 972, 568, 513, 1978, 30675, 547, 28099, 25977, 519, 18896, 563, 9827, 267, 16423, 779, 4719, 4702, 543, 2250, 2866, 607, 513, 18896, 17907, 6770, 930, 824, 2591, 547, 519, 3126, 269, 3571, 18896, 6438, 26756, 1118, 1864, 1360, 8825, 540, 1010, 968, 22940, 892, 25753, 2280, 267, 855, 849, 3142, 5208, 883, 741, 2078, 269, 2311, 835, 1448, 267, 646, 3592, 678, 2354, 1200, 11563, 856, 1247, 896, 519, 2247, 1852, 540, 513, 16264, 5636, 664, 269, 634, 3364, 602, 536, 6139, 1042, 803, 1934, 543, 538, 513, 1906, 824, 16423, 4149, 8364, 2280, 10207, 729, 972, 8604, 547, 581, 513, 2283, 783, 5498, 10745, 2460, 547, 519, 5208, 269, 20290, 513, 645, 9169, 300, 642, 32079, 269, 4427, 1479, 267, 855, 972, 538, 1250, 6644, 563, 763, 5208, 568, 8766, 538, 519, 1101, 1433, 267, 855, 3533, 15155, 1186, 909, 538, 519, 1964, 540, 519, 3126, 269, 1703, 568, 606, 1659, 995, 2112, 267, 609, 930, 5963, 15265, 16220, 22041, 7068, 4881, 993, 3089, 269, 1703, 616, 11673, 540, 1004, 5969, 741, 31462, 1846, 543, 15246, 2933, 896, 16264, 2247, 1852, 269, 16423, 2173, 523, 18009, 856, 1004, 779, 31462, 1846, 269, 31849, 540, 26481, 24515, 269, 15788, 267, 594, 2808, 891, 2835, 513, 2370, 5230, 593, 519, 8642, 5208, 563, 5194, 3693, 538, 519, 4729, 602, 2760, 8604, 547, 581, 18113, 9619, 729, 519, 2247, 1852, 2243, 269, 9650, 1852, 568, 17814, 607, 606, 9409, 2949, 267, 2943, 595, 5407, 267, 519, 5869, 710, 267, 4749, 3096, 621, 547, 2149, 9887, 543, 1866, 269, 2701, 849, 3096, 621, 547, 4339, 267, 543, 3006, 267, 538, 10845, 267, 547, 1208, 559, 5573, 269, 769, 4334, 547, 595, 5407, 267, 25905, 15604, 538, 519, 8772, 1433, 3274, 31439, 547, 946, 2247, 1852, 585, 1022, 2601, 2507, 2394, 538, 519, 1439, 1352, 1281, 2899, 547, 4688, 1200, 2648, 269, 634, 2243, 568, 281, 952, 2247, 1852, 568, 9409, 267, 568, 621, 6132, 527, 585, 595, 5407, 543, 15604, 547, 946, 621, 547, 2149, 1866, 286, 5651, 958, 6340, 267, 952, 2247, 1852, 568, 20244, 606, 9409, 957, 267, 1210, 621, 585, 513, 1434, 1439, 1869, 2306, 519, 957, 9409, 269, 5253, 585, 2219, 563, 3080, 3803, 2942, 609, 634, 30803, 20048, 2873, 568, 602, 789, 2461, 3274, 711, 782, 602, 1134, 27787, 269, 8786, 267, 621, 779, 513, 3728, 19550, 267, 3078, 4729, 609, 6266, 540, 2962, 543, 5188, 269, 1809, 972, 568, 2370, 547, 1100, 10855, 1893, 547, 17145, 856, 519, 1650, 269, 1452, 2835, 1224, 899, 1018, 789, 616, 281, 6093, 476, 2641, 560, 2540, 962, 288, 5708, 563, 14454, 267, 634, 30803, 20048, 2873, 616, 513, 17680, 6137, 267, 9425, 2973, 3126, 609, 6266, 540, 2962, 267, 11509, 8082, 267, 543, 513, 1390, 605, 3734, 6249, 269, 1809, 593, 519, 824, 1688, 267, 789, 2461, 711, 3226, 1134, 2854, 267, 711, 1390, 3332, 267, 543, 723, 930, 7282, 2609, 899, 519, 10539, 827, 2247, 1852, 267, 2283, 783, 5208, 693, 2053, 267, 543, 2949, 8642, 5208, 269, 29247, 2542, 286, 9320, 952, 596, 723, 606, 4587, 7141, 945, 2731, 21593, 2257, 5708, 543, 6499, 547, 946, 873, 585, 513, 1433, 1867, 547, 5490, 883, 930, 540, 519, 11786, 3584, 269, 19227, 267, 594, 8910, 2285, 873, 513, 1780, 563, 2252, 789, 10093, 1406, 2943, 267, 3494, 803, 267, 789, 786, 256, 4208, 1281, 513, 15962, 2696, 1450, 721, 547, 7985, 286, 901, 568, 513, 2243, 602, 814, 1044, 7368, 543, 11432, 1229, 2429, 519, 6502, 269, 769, 634, 23268, 5808, 12984, 2279, 12295, 547, 581, 1773, 5896, 20900, 1546, 17556, 325, 8457, 3217, 593, 519, 2243, 540, 7092, 609, 513, 2241, 1650, 602, 1256, 1762, 1453, 786, 581, 2111, 547, 1174, 269, 1546, 17556, 325, 8457, 16900, 649, 2314, 1927, 1896, 6426, 18627, 883, 513, 1612, 762, 827, 513, 31604, 6079, 7247, 513, 8797, 32529, 1202, 1235, 593, 9544, 269, 1773, 5896, 538, 513, 4158, 8559, 267, 519, 17512, 1881, 6079, 7959, 14460, 543, 4805, 269, 1809, 1287, 519, 6263, 6079, 5956, 547, 1332, 883, 513, 15999, 3529, 799, 2337, 1866, 543, 2833, 513, 5898, 543, 5191, 621, 1185, 2760, 26927, 3139, 2009, 563, 1607, 1433, 568, 865, 5363, 538, 7713, 7092, 547, 1453, 563, 12024, 519, 6079, 267, 649, 1745, 585, 338, 2586, 543, 12922, 950, 2696, 2636, 721, 547, 1995, 7092, 267, 2669, 267, 2530, 267, 543, 1928, 269, 6145, 519, 6079, 267, 649, 1810, 1406, 1616, 547, 979, 1524, 547, 602, 4158, 1747, 543, 1745, 14460, 269, 769, 713, 1612, 762, 540, 513, 9661, 267, 649, 616, 18056, 602, 2696, 1152, 2636, 721, 547, 7985, 547, 3142, 721, 547, 513, 811, 4190, 267, 8748, 1747, 982, 649, 1223, 4952, 269, 6787, 649, 1294, 519, 4829, 540, 6972, 998, 14334, 538, 713, 1272, 267, 610, 1810, 1406, 917, 519, 1946, 2394, 13140, 267, 713, 1650, 19595, 721, 649, 666, 3972, 602, 2696, 814, 513, 3501, 1544, 547, 3142, 721, 547, 3020, 5191, 543, 4708, 563, 763, 23268, 5808, 12984, 2279, 12295, 1677, 2142, 1773, 5896, 666, 849, 581, 5363, 538, 7713, 2669, 563, 1607, 1158, 568, 782, 649, 917, 267, 865, 6028, 621, 666, 581, 513, 17559, 2219, 269, 6145, 519, 6079, 267, 649, 899, 938, 2721, 518, 267, 938, 2370, 4216, 540, 1634, 1995, 269, 6145, 519, 6079, 267, 930, 3214, 1265, 519, 2856, 540, 1373, 12617, 513, 32049, 2219, 269, 901, 1650, 2337, 8897, 1346, 12194, 609, 519, 12576, 602, 12955, 568, 1175, 519, 4098, 540, 513, 1007, 267, 1732, 1272, 267, 3564, 938, 3552, 652, 9909, 540, 5898, 543, 5191, 563, 1432, 568, 5191, 888, 763, 6079, 6645, 519, 32529, 711, 547, 2030, 1864, 281, 968, 296, 6557, 18901, 547, 581, 12630, 267, 594, 1616, 547, 581, 1863, 1848, 1280, 519, 6079, 267, 5191, 568, 1373, 4847, 547, 798, 1018, 646, 6499, 281, 3251, 538, 1010, 2721, 518, 269, 1809, 676, 519, 1439, 540, 519, 1433, 267, 519, 6079, 30877, 3020, 5191, 568, 1336, 676, 1739, 2696, 779, 630, 1492, 32529, 779, 264, 1544, 543, 3850, 5128, 547, 5884, 865, 646, 949, 2661, 269, 769, 519, 1439, 540, 519, 1650, 267, 519, 6079, 267, 1631, 513, 3529, 267, 814, 1336, 4708, 267, 5191, 267, 543, 513, 1272, 1510, 4250, 563, 763, 2898, 1920, 786, 2972, 634, 23268, 5808, 12984, 2279, 12295, 1677, 2142, 1773, 5896, 563, 7212, 713, 1650, 568, 2854, 585, 7820, 1453, 267, 519, 1164, 2298, 12383, 543, 15851, 1612, 762, 6438, 1650, 786, 1118, 621, 513, 5172, 609, 782, 6502, 269, 3776, 3003, 1920, 10150, 713, 1433, 609, 922, 12576, 602, 2696, 2141, 814, 513, 3501, 1544, 585, 721, 269, 4014, 1082, 824, 1390, 2835, 593, 7092, 723, 1044, 2854, 13389, 4079, 267, 713, 2241, 1650, 568, 3501, 585, 7713, 547, 1453, 1946, 2696, 2636, 7092, 563, 1607, 2022, 3568, 24988, 6402, 269, 6423, 3723, 518, 585, 2407, 23930, 563, 763, 13957, 532, 1446, 676, 26701, 514, 670, 20087, 568, 513, 5963, 8903, 3140, 5708, 3209, 281, 11121, 267, 1208, 17331, 267, 2219, 4538, 267, 543, 14042, 538, 2490, 269, 634, 1650, 5205, 1079, 3943, 19946, 267, 966, 1014, 928, 543, 1772, 8475, 548, 267, 689, 519, 942, 519, 1101, 678, 3518, 956, 540, 2622, 2782, 4083, 2253, 547, 1860, 5333, 547, 5612, 1310, 519, 1439, 540, 519, 2112, 269, 1635, 2519, 593, 891, 1079, 19946, 685, 1360, 1114, 855, 8449, 2352, 10092, 998, 519, 2112, 267, 634, 13957, 532, 1446, 7319, 12923, 538, 1379, 2685, 23187, 519, 4641, 540, 519, 16897, 267, 519, 9588, 540, 519, 9271, 267, 519, 19039, 20739, 9535, 540, 2729, 538, 2622, 2782, 4083, 269, 901, 1433, 1281, 711, 22302, 519, 5467, 689, 519, 1659, 995, 17909, 602, 812, 666, 16173, 547, 269, 8616, 519, 1244, 9545, 885, 812, 29377, 616, 855, 513, 23240, 547, 519, 15627, 540, 5869, 1143, 547, 799, 4948, 1004, 666, 4473, 269, 634, 13957, 532, 1446, 3091, 6667, 543, 4126, 609, 922, 4798, 827, 796, 19874, 762, 2648, 267, 24123, 15093, 267, 543, 519, 27803, 540, 1453, 563, 763, 13957, 532, 1446, 568, 606, 14751, 566, 540, 519, 1379, 540, 782, 519, 3029, 540, 2648, 547, 7639, 543, 8853, 538, 519, 10782, 2175, 16697, 762, 563, 763, 7554, 540, 11505, 616, 513, 14984, 3196, 269, 769, 1200, 1507, 3943, 554, 32528, 267, 966, 1014, 928, 543, 1200, 1655, 3659, 24981, 5000, 543, 948, 835, 1776, 547, 1832, 5885, 741, 3885, 267, 2436, 602, 568, 609, 1913, 610, 676, 4687, 519, 2063, 2849, 17632, 540, 1426, 269, 1879, 6014, 24981, 568, 3144, 2476, 547, 513, 5834, 3786, 267, 966, 1014, 928, 4220, 1200, 1378, 1272, 547, 4688, 24981, 779, 5067, 563, 763, 2648, 1063, 19946, 849, 3470, 1161, 519, 16897, 540, 2112, 269, 966, 1014, 928, 543, 1772, 8475, 548, 1185, 513, 31341, 6681, 2078, 3395, 909, 267, 855, 1282, 519, 2112, 1142, 1193, 1161, 547, 2149, 519, 824, 607, 1655, 789, 666, 269, 966, 1014, 928, 6285, 513, 4436, 17199, 547, 4688, 1772, 8475, 548, 269, 1772, 8475, 548, 9883, 9887, 689, 1200, 11078, 779, 1920, 547, 2149, 873, 689, 519, 29854, 540, 1200, 11895, 960, 269, 2311, 519, 1439, 540, 519, 2112, 267, 966, 1014, 928, 19707, 24091, 585, 1200, 4503, 11078, 543, 6770, 1200, 1753, 563, 763, 13957, 532, 1446, 20186, 519, 2648, 1063, 3237, 543, 1453, 607, 3226 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 1691, 281, 18227, 2659, 7731, 15822, 693, 5851, 692, 5331, 4947, 1753, 1310, 513, 1279, 1554, 693, 1153, 267, 9599, 547, 2995, 707, 1920, 782, 827, 621, 269, 1809, 950, 596, 1930, 519, 4395, 7450, 267, 1945, 3085, 1405, 1745, 1318, 269, 9320, 972, 781, 7745, 4837, 593, 519, 6989, 267, 610, 6148, 930, 540, 707, 28378, 616, 856, 540, 1747, 269, 1411, 3533, 8275, 602, 2576, 814, 1044, 3330, 707, 2777, 1247, 596, 941, 2476, 256, 901, 17559, 3510, 666, 4755, 9170, 267, 799, 568, 1946, 621, 781, 1898, 547, 1451, 875, 547, 1832, 707, 1920, 2922, 693, 1753, 780, 1103, 713, 3184, 267, 649, 786, 1865, 1896, 2081, 547, 2327, 707, 1753, 3788, 5150, 543, 6870, 1996, 13311, 8436, 269, 1284, 786, 2911, 827, 1114, 2010, 540, 3106, 3800, 267, 971, 607, 25437, 267, 32302, 267, 543, 19141, 267, 543, 2491, 875, 789, 960, 1927, 547, 1711, 513, 2922, 1604, 585, 596, 543, 707, 6068, 3283, 269, 1635, 1620, 891, 2035, 267, 596, 666, 1491, 5279, 540, 707, 1753, 3354, 543, 948, 2061, 13943, 3871, 899, 519, 835, 4330, 4505, 780, 4131, 781, 1376, 609, 519, 9238, 281, 9885, 543, 9486, 269, 1452, 616, 1079, 1455, 7127, 2798, 883, 1022, 1753, 267, 1818, 873, 4998, 9072, 585, 11371, 644, 619, 269, 1677, 5150, 707, 9885, 267, 2015, 16459, 4666, 2513, 1206, 610, 5100, 25437, 602, 2154, 2189, 9479, 610, 9416, 21646, 547, 12260, 269, 3958, 267, 1210, 1164, 7779, 6885, 4234, 2583, 543, 8596, 666, 10332, 596, 952, 4896, 13290, 547, 3196, 2685, 4283, 998, 513, 6885, 780, 5194, 4494, 540, 4027, 2501, 538, 519, 1106, 540, 1753, 3354, 1949, 269, 1452, 3457, 946, 5163, 22572, 267, 12514, 267, 543, 521, 790, 985, 547, 6895, 2534, 1472, 707, 3959, 269, 1403, 4376, 8966, 4386, 267, 519, 1062, 15920, 606, 10332, 547, 596, 543, 3006, 1256, 2199, 8128, 269, 2368, 2413, 3354, 1949, 849, 2709, 6552, 1569, 3842, 16389, 267, 3850, 596, 547, 2638, 909, 593, 707, 1753, 1100, 2339, 1141, 596, 616, 780, 3086, 1577, 781, 2263, 3859, 1648, 19141, 1107, 513, 1447, 6671, 2943, 2500, 1259, 547, 3986, 1753, 3106, 269, 9891, 1648, 19141, 1445, 7943, 5196, 1808, 9634, 267, 10451, 3002, 7920, 2614, 547, 15658, 1761, 11371, 644, 619, 269, 1879, 8704, 2282, 7925, 2127, 630, 7945, 607, 18147, 19235, 1070, 891, 19141, 4196, 607, 3308, 543, 8143, 7496, 267, 4180, 707, 7834, 543, 4708, 540, 2247, 780, 15563, 267, 2792, 4249, 513, 2629, 1909, 538, 4509, 513, 2922, 7622, 269, 5269, 2386, 1169, 4759, 540, 707, 1920, 6487, 6595, 6049, 2338, 267, 17358, 2596, 1101, 5351, 5773, 267, 543, 568, 5432, 609, 27549, 4566, 1282, 11642, 610, 2067, 12469, 269, 17115, 7234, 891, 3584, 5849, 3025, 13978, 5423, 543, 8746, 538, 7829, 6397, 3871, 780, 3528, 6220, 1585, 3106, 3800, 2429, 707, 1753, 267, 596, 1711, 513, 8825, 13104, 602, 8952, 707, 1920, 2922, 689, 2800, 269, 2755, 4986, 666, 10018, 6207, 1045, 4532, 2225, 267, 2921, 14942, 3268, 2509, 17516, 707, 2713, 2230, 4422, 513, 1279, 1259, 538, 7303, 25031, 2621, 543, 3246, 4313, 585, 1296, 547, 2097, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 12606, 12833, 5235, 966, 517, 2480, 23705, 1470, 269, 476, 4343, 269, 4936, 14216, 590, 15676, 966, 517, 667, 2001, 3465, 20799, 454, 32575, 547, 713, 4647, 267, 3206, 2409, 18542, 602, 741, 11103, 16363, 6616, 1875, 1673, 652, 10614, 11000, 3464, 267, 8033, 5224, 1022, 3486, 4507, 827, 1880, 3173, 269, 570, 1014, 534, 5443, 814, 1419, 16761, 607, 513, 5347, 6609, 540, 713, 1544, 540, 8744, 263, 667, 3518, 2795, 476, 1960, 273, 282, 4787, 573, 3467, 543, 27176, 476, 1960, 278, 281, 476, 276, 1704, 1040, 634, 2025, 4775, 540, 1239, 267, 9136, 24936, 1682, 267, 543, 1747, 2152, 676, 2864, 1152, 519, 2475, 855, 12691, 543, 8101, 1775, 20486, 2417, 4834, 1378, 2924, 263, 16410, 652, 534, 476, 1001, 271, 1040, 898, 11566, 569, 941, 602, 4647, 12833, 5235, 13153, 2480, 23705, 1470, 269, 476, 4343, 269, 4936, 3541, 590, 15676, 13153, 538, 519, 2475, 2386, 1148, 1185, 8720, 1628, 5346, 543, 6035, 547, 2347, 519, 11569, 17319, 2475, 16644, 2088, 2298, 263, 17664, 476, 1220, 271, 1040, 1373, 1018, 14621, 540, 8863, 2752, 3008, 6410, 17923, 269, 1271, 8185, 513, 865, 1514, 3170, 1145, 269, 9891, 6052, 19257, 5558, 2382, 6817, 744, 985, 924, 256, 5968, 2353, 20885, 15356, 5240, 286, 1306, 513, 4396, 8281, 267, 634, 20885, 12524, 568, 593, 11476, 689, 11766, 906, 267, 1004, 267, 543, 862, 340, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 13493, 1315, 2657, 1299, 11545, 12389, 1315, 8881, 1315, 5851, 8881, 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, 20821, 8061, 754, 571, 623, 12991, 269, 623, 2784, 7315, 267, 513, 1360, 3811, 15818, 945, 814, 1500, 513, 2012, 585, 5128, 1312, 538, 1010, 1753, 2197, 540, 18310, 543, 1472, 519, 1158, 256, 2060, 936, 476, 2767, 1296, 540, 1995, 896, 1010, 12966, 267, 646, 781, 1831, 606, 4274, 538, 1082, 1114, 2127, 540, 519, 3656, 2361, 780, 3080, 3364, 602, 2306, 8061, 754, 571, 1796, 856, 568, 602, 646, 781, 1044, 11280, 607, 513, 834, 25938, 1640, 5917, 11229, 257, 676, 519, 10966, 7040, 540, 18310, 269, 901, 568, 513, 2027, 8956, 2016, 1152, 547, 1346, 945, 723, 3254, 11108, 5578, 543, 11428, 538, 741, 960, 607, 17864, 269, 898, 1797, 602, 950, 621, 2501, 547, 1620, 543, 16208, 519, 4031, 540, 18310, 267, 972, 616, 1906, 1004, 1732, 11727, 982, 8061, 754, 571, 780, 3719, 8061, 754, 571, 18387, 1405, 3908, 5128, 547, 1175, 835, 2197, 269, 1261, 781, 849, 1831, 513, 13931, 18607, 538, 1896, 2829, 538, 519, 2136, 2276, 267, 1519, 1715, 3840, 543, 519, 10588, 540, 21896, 269, 3502, 1152, 602, 267, 855, 646, 781, 1256, 11130, 2665, 1354, 519, 10966, 7040, 540, 519, 2136, 2276, 1107, 519, 5207, 5480, 538, 519, 2244, 256, 2334, 781, 1100, 1507, 9028, 267, 543, 621, 2982, 1175, 875, 6131, 8061, 754, 571, 568, 547, 1010, 4739, 780, 3383, 1018, 4010, 1281, 513, 15818, 899, 8061, 754, 571, 798, 286, 4270, 267, 835, 1858, 646, 24870, 538, 568, 1572, 834, 1260, 14293, 1876, 2668, 901, 3322, 4543, 4213, 6330, 782, 12204, 540, 3656, 2152, 267, 689, 26004, 11731, 547, 20547, 13882, 269, 1280, 1383, 267, 1577, 781, 2161, 596, 4941, 547, 1376, 707, 1378, 21097, 1796, 630, 320, 1390, 2856, 267, 676, 519, 1259, 32656, 1306, 513, 1870, 8227, 267, 972, 1131, 581, 6266, 540, 3652, 543, 6042, 596, 9364, 991, 547, 1246, 547, 1118, 2386, 3388, 729, 593, 519, 909, 7146, 5346, 269, 589, 5010, 15818, 899, 8061, 754, 571, 1223, 948, 596, 1174, 782, 1346, 3652, 543, 1118, 2386, 596, 941, 1739, 873, 7157, 780, 5194, 1858, 1141, 8061, 754, 571, 608, 26118, 568, 834, 514, 1181, 1049, 1876, 2580, 799, 9388, 609, 3656, 2152, 602, 3444, 10665, 1063, 2477, 269, 6056, 827, 1945, 899, 9140, 513, 11442, 2228, 689, 1776, 2197, 269, 1703, 666, 581, 782, 5686, 540, 7294, 3652, 543, 6042, 3238, 538, 1818, 2386, 602, 11834, 4422, 12347, 267, 2523, 952, 1945, 4422, 4636, 269, 1323, 3486, 15818, 899, 8061, 754, 571, 1223, 948, 4990, 998, 782, 602, 3190, 543, 1118, 2386, 3025, 7475, 909, 6126, 780, 1432, 781, 2731, 3579, 827, 8061, 754, 571, 568, 602, 646, 781, 1044, 6444, 676, 6266, 540, 1114, 3906, 585, 1373, 971, 513, 16805, 15818, 269, 20492, 899, 16422, 1499, 6820, 267, 16422, 1499, 5607, 267, 5808, 781, 5808, 13751, 267, 543, 1866, 723, 782, 2206, 1194, 1864, 856, 607, 835, 540, 519, 1655, 538, 519, 1870, 269, 1358, 4312, 4481, 7074, 1010, 6791, 538, 4610, 899, 18229, 267, 12388, 619, 543, 4203, 29792, 630, 300, 26031, 1070, 1788, 14104, 267, 543, 30931, 269, 1452, 616, 782, 7168, 1950, 3584, 267, 855, 10416, 789, 4125, 1919, 899, 27410, 20987, 682, 1162, 267, 4543, 3549, 4444, 543, 6133, 824, 4213, 267, 17516, 7616, 585, 2462, 3785, 267, 543, 7863, 6216, 4408, 543, 27291, 865, 789, 1810, 1405, 1205, 23652, 24648, 958, 780, 3086, 267, 930, 540, 891, 2035, 1522, 1869, 3280, 513, 3787, 16602, 267, 543, 602, 781, 15502, 256, 4521, 666, 581, 513, 9157, 1641, 547, 16833, 707, 2212, 1472, 3006, 269, 1809, 23248, 713, 3947, 596, 513, 2631, 540, 1175, 875, 11141, 8061, 754, 571, 781, 4876, 814, 1044, 267, 543, 6148, 1256, 26182, 596, 547, 1451, 811, 827, 519, 1876, 3054, 14693, 269, 2991, 782, 267, 945, 6487, 1107, 6148, 596, 3513, 1332, 909, 547, 581, 513, 18947, 5917, 11229, 1932, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 28319, 754, 571, 623, 12991, 269, 623, 2784, 7315, 454, 303, 3789, 281, 19737, 31313, 13478, 523, 1640, 5917, 11229, 454, 307, 281, 1341, 280, 6507, 476, 272, 476, 27898, 476, 5002, 271, 454, 293, 281, 1341, 280, 6507, 476, 272, 476, 4649, 274, 476, 31172, 275, 454, 28319, 754, 571, 568, 519, 13653, 543, 5883, 7649, 540, 519, 674, 3305, 269, 8061, 754, 571, 814, 1044, 28165, 676, 519, 10966, 7040, 540, 18310, 609, 519, 25084, 543, 2140, 540, 968, 25938, 1640, 5917, 11229, 6100, 8061, 754, 571, 814, 811, 982, 476, 2767, 1296, 685, 19023, 1995, 538, 5010, 543, 3486, 2361, 269, 769, 1840, 547, 18310, 267, 8061, 754, 571, 568, 849, 15861, 607, 606, 18607, 27408, 25237, 538, 1715, 3840, 267, 10588, 540, 12052, 267, 10966, 7040, 540, 519, 2136, 2276, 543, 1896, 8549, 30271, 538, 7330, 269, 8061, 754, 571, 849, 5249, 609, 1585, 1876, 10909, 538, 1715, 3840, 543, 6115, 267, 667, 5861, 563, 28319, 754, 571, 814, 1044, 6444, 676, 16422, 1499, 6820, 267, 16422, 1499, 5607, 267, 5808, 779, 5808, 13751, 267, 16869, 20929, 267, 4521, 14636, 2622, 18225, 267, 8028, 304, 18225, 267, 3955, 16676, 1581, 16010, 18225, 267, 3092, 269, 5808, 779, 5808, 13751, 814, 6444, 1864, 10838, 519, 1158, 779, 3056, 17864, 538, 18229, 267, 631, 26031, 267, 1788, 8804, 543, 22028, 2361, 585, 519, 2063, 1896, 1296, 269, 13751, 9012, 6828, 779, 16869, 20929, 13757, 6444, 1864, 10838, 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, 8702, 547, 938, 3460, 998, 519, 4241, 1158, 540, 8738, 332, 3150, 11951, 256, 1284, 2811, 865, 9599, 547, 6338, 596, 547, 519, 8949, 10366, 543, 2189, 8286, 602, 2097, 689, 713, 4190, 2197, 538, 14913, 5607, 269, 1411, 1522, 581, 11842, 267, 1141, 568, 8738, 2742, 286, 4270, 267, 2221, 596, 4440, 917, 621, 607, 27060, 267, 513, 1747, 2407, 540, 1686, 267, 2528, 267, 543, 1034, 11932, 267, 1426, 2439, 289, 584, 332, 3150, 11951, 568, 513, 17175, 3575, 540, 1114, 7506, 689, 922, 15231, 2477, 899, 3624, 267, 3127, 267, 543, 17289, 269, 901, 1797, 602, 972, 781, 1945, 585, 3025, 547, 2972, 269, 3245, 7646, 569, 838, 5367, 1225, 1845, 547, 8126, 344, 25235, 267, 29549, 7573, 8286, 267, 543, 17705, 16152, 267, 1577, 781, 2263, 891, 11477, 16782, 1927 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8666, 2630, 729, 3144, 693, 513, 1397, 269, 570, 29108, 6825, 1312, 741, 4155, 6472, 543, 7841, 3560, 609, 519, 2012, 512, 29108, 267, 538, 5835, 1698, 8558, 269, 901, 729, 7363, 538, 513, 10750, 3625, 7097, 855, 593, 519, 9252, 561, 13446, 18651, 1206, 713, 729, 21401, 20733, 607, 3254, 2630, 563, 8993, 31233, 570, 29108, 9252, 561, 13446, 454, 4002, 7841, 13688, 519, 20446, 729, 693, 513, 13581, 5086, 267, 8375, 547, 519, 1318, 269, 769, 476, 3422, 275, 634, 476, 278, 570, 781, 3090, 540, 570, 29108, 729, 5189, 543, 519, 2754, 2012, 4957, 547, 6404, 2013, 267, 3854, 570, 609, 27608, 1412, 29108, 8339, 634, 16749, 13688, 941, 711, 1065, 20557, 2705, 543, 4421, 328, 1229, 593, 538, 741, 2025, 20446, 585, 1296, 27502, 269, 570, 29108, 1185, 1044, 5665, 7841, 7382, 530, 30368, 2094, 519, 476, 4572, 271, 338, 267, 891, 941, 9252, 16509, 19034, 13688, 267, 782, 3109, 609, 570, 2752, 300, 3722, 538, 476, 274, 3723, 5022, 693, 513, 13581, 5086, 630, 30545, 547, 519, 1318, 264, 593, 519, 5011, 563, 8993, 31233, 570, 29108, 7382, 543, 2022, 476, 3422, 275, 20446, 585, 561, 528, 1845, 454, 763, 23394, 7714, 667, 1495, 2465, 1201, 10320, 729, 11751, 676, 570, 29108, 538, 476, 3422, 279, 267, 2705, 519, 7841, 13688, 7283, 538, 23394, 7714, 561, 6116, 883, 519, 2038, 476, 2735, 271, 338, 269, 634, 667, 1495, 2465, 1201, 10320, 998, 1584, 729, 2799, 2947, 16784, 676, 476, 2735, 280, 269, 769, 476, 1960, 273, 519, 667, 1495, 2465, 1201, 10320, 729, 4421, 547, 519, 11285, 16528, 1201, 10719, 715, 2106, 553, 8891, 15950, 6828, 630, 15367, 849, 7500, 689, 4432, 956, 332, 699, 5800, 1040, 634, 1201, 10320, 1631, 3157, 3063, 5230, 19020, 11041, 547, 3132, 513, 2039, 540, 3787, 636, 839, 543, 513, 2039, 540, 1253, 650, 919, 1519, 3154, 3282, 267, 7286, 17088, 267, 19149, 908, 3282, 3490, 13632, 543, 4492, 11041, 616, 849, 3812, 563, 293, 8803, 14717, 2674, 267, 5432, 2221, 585, 741, 946, 540, 1164, 4390, 530, 30368, 267, 941, 849, 3238, 538, 11288, 1412, 30198, 1042, 5672, 611, 600, 262, 676, 7841, 267, 2705, 594, 723, 711, 14360, 606, 4704, 547, 7382, 530, 30368, 538, 713, 6109, 781, 561, 6116, 563, 293, 8787, 7231, 538, 9779, 18210, 2506, 6160, 687, 454, 30531, 18210, 2506, 6160, 687, 616, 5386, 5536, 540, 3787, 18210, 17735, 538, 1216, 267, 1031, 585, 4155, 17774, 5217, 607, 519, 1216, 2636, 519, 7363, 1360, 1471, 32654, 3787, 18210, 547, 581, 10936, 539, 5196, 513, 4155, 2627, 609, 1447, 8022, 267, 519, 1216, 1287, 18493, 919, 269, 634, 5728, 547, 5329, 519, 522, 1176, 13545, 17735, 538, 519, 900, 13955, 568, 547, 6850, 560, 5597, 5279, 519, 3787, 18210, 5536, 865, 789, 1065, 601, 1142, 824, 543, 798, 711, 30243, 3634, 269, 901, 4480, 267, 1572, 12019, 1975, 2001, 267, 729, 11827, 693, 519, 4098, 540, 519, 476, 4572, 271, 338, 676, 670, 7676, 30129, 27963, 599, 543, 6723, 15656, 7629, 599, 630, 320, 14664, 729, 11292, 538, 476, 4572, 273, 1040, 1635, 1287, 267, 27963, 599, 1185, 4646, 1010, 1378, 2754, 267, 1306, 24615, 12019, 17186, 17290, 267, 547, 17908, 519, 14664, 538, 519, 2136, 8003, 269, 594, 729, 711, 2111, 547, 1265, 1022, 4704, 547, 530, 30368, 11262, 676, 6004, 27963, 599, 781, 2754, 563, 23873, 9779, 18210, 2506, 6160, 687, 13456, 454, 1607, 2754, 4421, 606, 900, 13955, 3575, 789, 1572, 2051, 25785, 2506, 13955, 269, 1703, 568, 513, 8523, 540, 835, 540, 741, 530, 30368, 538, 6004, 12875, 4958, 781, 1433, 1412, 30821, 15950, 12565, 26653, 25538, 976, 540, 6628, 262, 6029, 835, 540, 741, 13688, 267, 513, 1079, 16327, 3477, 26035, 17956, 693, 2901, 1439, 676, 2587, 1194, 10824, 267, 519, 2427, 726, 908, 11498, 3564, 519, 7382, 7475, 630, 27271, 2938, 593, 1202, 4327, 530, 30368, 4352, 711, 1455, 1070, 1818, 713, 513, 26815, 2653, 7382, 547, 2203, 1210, 513, 9102, 1957, 12109, 3899, 563, 8993, 31233, 3703, 9779, 18210, 2506, 6160, 687, 13456, 18618, 7382, 454, 299, 542, 2506, 6160, 687, 13456, 454, 1607, 2754, 941, 5665, 7382, 530, 30368, 676, 519, 4571, 476, 4350, 271, 338, 630, 335, 1601, 4601, 4505, 264, 543, 941, 835, 540, 519, 2063, 3549, 547, 7500, 513, 18239, 540, 4130, 13688, 630, 2865, 15151, 2034, 1688, 1040, 2368, 540, 741, 19671, 15841, 13688, 4797, 538, 946, 883, 519, 476, 2735, 271, 338, 630, 24392, 519, 23193, 2506, 6160, 687, 32107, 4667, 547, 723, 20374, 538, 519, 476, 3199, 781, 267, 519, 13688, 1287, 1373, 3109, 609, 1175, 519, 3044, 24795, 543, 18618, 6808, 6801, 593, 873, 1916, 763, 3943, 6109, 2051, 553, 729, 4646, 538, 476, 4572, 275, 543, 12349, 519, 12600, 2924, 547, 946, 519, 1587, 538, 5333, 269, 634, 2012, 2051, 553, 630, 1721, 1412, 322, 1245, 28372, 10807, 729, 7550, 1317, 1256, 1287, 824, 10909, 941, 9513, 741, 1378, 1412, 322, 1245, 10936, 262, 2472, 543, 519, 2165, 729, 1100, 3476, 1152, 2404, 609, 519, 27963, 599, 16927, 961, 599, 1587, 269, 901, 2754, 849, 13234, 538, 519, 5177, 267, 789, 1185, 693, 2547, 835, 7382, 530, 6782, 3710, 538, 519, 2663, 476, 4572, 271, 338, 2705, 519, 1152, 8523, 594, 723, 2938, 729, 538, 6004, 12875, 4958, 781, 1433, 8891, 15950, 12565, 26653, 25538, 976, 540, 6628, 630, 5408, 31639, 1070, 713, 5526, 547, 581, 513, 20536, 781, 8666, 543, 972, 616, 1100, 24795, 593, 519, 7382, 1560, 824, 982, 519, 2754, 2012, 563, 309, 3554, 6160, 13456, 7358, 730, 682, 1078, 7382, 530, 30368, 538, 741, 1412, 30531, 636, 6160, 262, 561, 6116, 538, 519, 476, 4572, 271, 338, 543, 476, 4350, 271, 338, 267, 519, 1383, 2630, 568, 689, 519, 29732, 2006, 10787, 880, 715, 15378, 2039, 563, 8993, 31233, 29732, 2006, 10787, 880, 1412, 30531, 636, 6160, 262, 7382, 454, 26199, 10003, 338, 13456, 9122, 538, 26676, 2917, 630, 312, 30435, 264, 543, 3964, 538, 827, 476, 4350, 271, 267, 713, 2754, 1572, 922, 1587, 1412, 30531, 12541, 3299, 519, 530, 30368, 941, 3109, 609, 519, 1587, 2012, 609, 519, 2754, 2012, 18284, 538, 3043, 269, 1703, 568, 513, 979, 1993, 8523, 540, 835, 540, 519, 530, 30368, 538, 9291, 23747, 781, 17721, 13574, 518, 25538, 976, 5292, 269, 476, 274, 563, 7883, 547, 1283, 540, 2985, 0, 29605, 30047, 910, 1284, 662, 532, 6191, 543, 9260, 8455, 2471, 454, 288, 9260, 1532, 16466, 568, 513, 1360, 1804, 1305, 540, 3666, 10253, 1031, 585, 20604, 1804, 6472, 267, 1519, 7504, 6537, 7047, 338, 267, 561, 528, 1845, 543, 16749, 530, 30368, 269, 634, 1101, 4052, 6191, 540, 713, 1826, 941, 11827, 676, 3627, 19785, 3430, 540, 27257, 538, 519, 476, 14690, 271, 338, 543, 519, 5007, 5920, 1287, 4957, 2370, 2394, 519, 476, 3422, 271, 338, 269, 634, 6093, 10380, 585, 4155, 6472, 5161, 540, 513, 1804, 4496, 6676, 1305, 883, 519, 4155, 2627, 609, 513, 1507, 554, 583, 22290, 621, 5627, 519, 4336, 269, 634, 1568, 616, 782, 18284, 519, 6676, 543, 991, 711, 6161, 519, 1110, 11839, 2705, 519, 2596, 11460, 568, 3254, 2630, 267, 835, 1448, 547, 4063, 568, 602, 519, 16025, 610, 4496, 8720, 519, 3095, 1063, 519, 8115, 543, 519, 554, 583, 1058, 2141, 581, 13988, 609, 519, 8998, 540, 519, 8115, 454, 8993, 13090, 1284, 662, 8822, 7271, 454, 763, 9260, 8822, 729, 513, 4183, 540, 1034, 16749, 5370, 18126, 267, 6539, 781, 616, 2139, 689, 1585, 2959, 930, 540, 799, 2097, 609, 606, 31960, 21567, 8115, 269, 634, 4605, 2630, 2982, 513, 8390, 593, 519, 2596, 1374, 267, 513, 1804, 2679, 568, 2404, 609, 513, 9260, 8822, 855, 1152, 519, 1318, 1688, 3791, 540, 519, 2679, 8075, 519, 20604, 7271, 269, 634, 14230, 568, 513, 1804, 5604, 607, 713, 1383, 729, 593, 513, 4155, 3056, 547, 513, 1507, 1895, 540, 15327, 543, 513, 12324, 627, 541, 325, 543, 23999, 269, 8074, 602, 519, 6676, 8720, 519, 3095, 720, 1063, 519, 8115, 543, 519, 20604, 4055, 568, 4092, 896, 519, 6885, 267, 538, 519, 8998, 540, 519, 8115, 711, 519, 8998, 540, 519, 2679, 563, 8993, 13090, 1284, 662, 8822, 609, 7923, 5604, 454, 305, 1933, 6174, 9260, 13123, 616, 2404, 609, 13557, 2326, 7829, 267, 6886, 971, 607, 5755, 543, 4401, 610, 543, 5370, 971, 607, 10286, 269, 10089, 330, 15559, 849, 2154, 9260, 8115, 6703, 855, 713, 5673, 547, 930, 6708, 593, 945, 568, 5665, 519, 1244, 582, 543, 1141, 519, 5370, 616, 2469, 547, 543, 689, 563, 7712, 519, 476, 3422, 271, 338, 824, 2010, 723, 2097, 883, 946, 267, 835, 3362, 1110, 8215, 2413, 1826, 5654, 899, 513, 1970, 8115, 267, 3710, 7357, 540, 6405, 269, 634, 17250, 2630, 568, 1759, 593, 606, 1383, 693, 519, 5449, 7841, 1606, 5703, 9791, 17781, 9160, 1244, 582, 693, 17368, 9150, 523, 267, 5045, 540, 25480, 269, 634, 6337, 941, 3144, 538, 519, 3735, 476, 2735, 271, 781, 689, 513, 8429, 5721, 543, 1397, 1100, 5604, 5612, 22290, 519, 8115, 267, 27229, 972, 729, 930, 1106, 540, 6552, 2542, 9744, 538, 513, 7404, 5604, 269, 634, 8115, 729, 4092, 593, 519, 1935, 4155, 3056, 547, 519, 12363, 543, 972, 729, 4055, 585, 513, 561, 13446, 547, 1780, 2312, 540, 519, 8115, 950, 2838, 269, 634, 16064, 540, 519, 8115, 729, 1804, 2614, 547, 4163, 606, 13994, 4327, 9160, 561, 13446, 543, 10859, 13652, 8814, 563, 8993, 31233, 7073, 1284, 662, 1532, 16466, 454, 763, 8115, 3294, 5161, 540, 513, 6659, 3490, 14059, 676, 1079, 15155, 1186, 609, 544, 578, 6405, 6821, 547, 2901, 2427, 269, 634, 8523, 2630, 2982, 519, 3003, 12363, 267, 519, 8115, 568, 4092, 538, 519, 8998, 1063, 519, 1079, 11651, 3101, 521, 573, 902, 269, 898, 814, 1079, 3282, 25859, 593, 621, 543, 519, 5011, 540, 519, 3490, 267, 1141, 519, 561, 13446, 8255, 267, 616, 513, 5594, 1114, 7990, 563, 8993, 31233, 24533, 12363, 543, 9260, 1532, 16466, 454, 763, 16749, 530, 6782, 9260, 1532, 16466, 3096, 606, 9247, 2147, 7271, 609, 513, 3760, 543, 513, 1507, 554, 583, 2673, 676, 269, 634, 3760, 729, 2356, 4988, 609, 1544, 6362, 543, 666, 581, 3362, 1110, 8215, 607, 3254, 2630, 269, 634, 2404, 554, 583, 666, 581, 513, 3339, 15839, 610, 6405, 1826, 855, 538, 930, 6753, 713, 568, 1305, 883, 519, 2666, 269, 901, 8545, 1374, 568, 2404, 609, 5577, 704, 530, 6782, 15205, 2798, 267, 621, 2636, 519, 9260, 1532, 16466, 5234, 547, 2638, 602, 5577, 704, 9885, 616, 6806, 607, 519, 16041, 530, 30368, 616, 6537, 936, 519, 8115, 269, 24020, 530, 30368, 1185, 741, 512, 732, 630, 24105, 264, 2597, 6825, 593, 519, 2427, 865, 621, 729, 1152, 2556, 547, 9260, 519, 16041, 6472, 267, 538, 519, 1447, 14931, 1158, 540, 4155, 688, 592, 720, 621, 729, 3339, 2259, 547, 9260, 519, 530, 6782, 610, 7047, 607, 621, 4682, 538, 543, 1586, 950, 621, 3357, 856, 547, 6166, 519, 24795, 941, 2953, 563, 763, 1383, 11516, 3481, 2630, 729, 538, 513, 530, 19977, 5370, 13452, 267, 621, 729, 13883, 593, 513, 521, 4575, 8023, 519, 1439, 15205, 546, 1442, 543, 4881, 2250, 519, 18219, 540, 1079, 13452, 1835, 6951, 269, 901, 5921, 711, 782, 530, 30368, 941, 26693, 855, 1346, 1034, 2693, 547, 4163, 5230, 13907, 1131, 1780, 936, 621, 269, 594, 1589, 519, 5755, 521, 573, 902, 4839, 3481, 1055, 689, 713, 1899, 267, 865, 621, 949, 723, 1044, 1031, 585, 519, 5755, 530, 30368, 267, 4352, 594, 993, 711, 2386, 1946, 519, 16749, 1131, 6999, 547, 9260, 16041, 5755, 530, 30368, 21945, 538, 519, 13452, 563, 8993, 13090, 12565, 1284, 662, 8822, 454, 4002, 4587, 7841, 9260, 1532, 5090, 2471, 1142, 530, 6782, 1185, 547, 581, 17479, 593, 519, 8115, 538, 2490, 269, 7073, 7841, 9260, 1532, 5090, 2471, 267, 3710, 2094, 519, 2663, 476, 3422, 271, 338, 543, 1141, 519, 6808, 568, 3586, 267, 723, 1044, 22041, 547, 1450, 519, 530, 30368, 547, 581, 15504, 936, 519, 8115, 538, 513, 986, 651, 269, 0, 2691, 513, 1268, 7140, 547, 519, 13309, 267, 543, 547, 1082, 824, 1072, 4648, 267, 621, 568, 5097, 6027, 1973, 2604, 20193, 568, 835, 540, 519, 1034, 1271, 10832, 540, 1072, 4567, 269, 2026, 513, 4341, 267, 2523, 4585, 602, 952, 621, 568, 6659, 10611, 9254, 1027, 2628, 1454, 1447, 3007, 267, 1317, 621, 568, 711, 2808, 5906, 563, 1410, 12371, 3652, 547, 513, 1978, 6708, 17062, 267, 543, 1142 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 584, 517, 4345, 910, 22514, 24212, 282, 966, 652, 24212, 22813, 4345, 282, 5164, 531, 683, 340, 1503, 629, 31307, 4345, 282, 966, 652, 24212, 8411, 4345, 282, 6997, 31307, 4345, 910, 9825, 15282, 281, 6997, 31307, 4345, 910, 21994, 282, 6997, 31307, 4345, 910, 9825, 15282, 282, 6997, 31307, 4345, 910, 6217, 2530, 24248, 31307, 4345, 568, 16698, 543, 11926, 540, 519, 6418, 1274, 269, 898, 666, 2014, 9825, 15282, 543, 6217, 2530, 269, 15486, 6997, 31307, 4345, 568, 2356, 3361, 676, 513, 3644, 543, 3006, 676, 4551, 269, 11109, 513, 4411, 610, 2770, 666, 9594, 519, 2783, 269, 10815, 1419, 267, 606, 1274, 3968, 949, 1291, 547, 2978, 31307, 4345, 269, 4033, 3123, 1331, 11959, 610, 1978, 11955, 602, 616, 3983, 585, 519, 6418, 1274, 269, 2659, 6418, 1274, 568, 1271, 585, 1312, 6217, 543, 3666, 269, 1879, 596, 723, 2978, 31307, 4345, 267, 519, 2694, 540, 707, 6418, 1274, 1831, 8886, 730, 543, 22224, 269, 901, 666, 1118, 596, 6336, 707, 3666, 543, 2014, 6217, 2530, 269, 4322, 2188, 6318, 707, 1981, 585, 2978, 31307, 4345, 281, 7804, 9722, 1804, 5666, 540, 4568, 15310, 8982, 15310, 8982, 293, 520, 8982, 568, 513, 4743, 540, 5957, 1465, 267, 13110, 1145, 267, 610, 3668, 540, 1648, 19403, 9137, 3767, 3883, 4460, 9137, 3778, 540, 11959, 2353, 25489, 2304, 14711, 568, 606, 4761, 3210, 610, 5114, 547, 6878, 602, 616, 2356, 711, 5739, 269, 15862, 5649, 9137, 3767, 3883, 4460, 9137, 10765, 10194, 4576, 267, 7929, 3968, 267, 610, 1274, 3968, 28614, 3968, 763, 1913, 834, 637, 21732, 257, 543, 834, 637, 17508, 257, 3277, 547, 519, 9641, 543, 7244, 269, 15862, 5649, 9137, 3767, 3883, 4460, 9137, 2423, 3968, 28606, 5563, 616, 835, 540, 519, 1034, 1455, 4128, 3237, 1491, 741, 1453, 547, 519, 1072, 1416, 8502, 269, 634, 1034, 1455, 1826, 540, 1274, 3968, 568, 3267, 15862, 5649, 9137, 3767, 3883, 4460, 9137, 25003, 13262, 13262, 29590, 568, 513, 4743, 540, 3929, 610, 2168, 8082, 269, 898, 666, 2097, 689, 1022, 2680, 610, 2219, 602, 2306, 596, 1745, 21616, 267, 14220, 267, 610, 8401, 269, 853, 637, 1862, 15862, 5649, 9137, 3767, 3883, 4460, 9137, 4635, 1978, 13310, 610, 1875, 26078, 5524, 11955, 630, 7945, 607, 29469, 264, 12580, 12580, 949, 1331, 1022, 540, 519, 1739, 281, 30342, 899, 596, 616, 18343, 267, 1256, 950, 596, 616, 1869, 630, 3200, 15282, 1040, 20539, 15282, 291, 20063, 568, 513, 2165, 602, 568, 1419, 1031, 547, 4766, 476, 273, 1114, 2589, 281, 1769, 20243, 1145, 543, 9825, 15282, 269, 8752, 20243, 1145, 568, 513, 4743, 602, 596, 1522, 535, 2967, 1862, 15862, 5649, 9137, 3767, 3883, 4460, 9137, 2659, 4064, 3001, 593, 741, 1378, 267, 1818, 621, 2182, 547, 1445, 873, 269, 2659, 4064, 3001, 593, 741, 1378, 267, 301, 22438, 698, 16443, 568, 513, 2165, 547, 4766, 3728, 267, 796, 19055, 762, 5322, 540, 519, 4064, 602, 949, 581, 281, 306, 728, 547, 2427, 630, 1817, 714, 7267, 562, 22438, 698, 16443, 264, 10000, 543, 1524, 630, 3200, 673, 562, 22438, 320, 1862, 15862, 5649, 9137, 3767, 3883, 4460, 9137, 667, 20063, 269, 24651, 2530, 538, 835, 1274, 269, 24651, 2530, 295, 8960, 2530, 568, 1373, 14356, 610, 11207, 8572, 547, 5873, 3280, 538, 835, 610, 1312, 10772, 269, 15862, 5649, 9137, 3767, 3883, 4460, 9137, 13809, 540, 3666, 4534, 596, 949, 2887, 4724, 835, 2427, 269, 715, 13835, 543, 13481, 269, 681, 15781, 610, 824, 21089, 538, 707, 10772, 630, 339, 11624, 1040, 570, 11624, 307, 11624, 568, 519, 2564, 2165, 585, 834, 515, 2130, 257, 21089, 538, 707, 10772, 269, 898, 4386, 950, 972, 568, 1100, 3544, 2707, 540, 519, 4992, 269, 570, 11624, 568, 1419, 1572, 834, 337, 1862, 15862, 5649, 9137, 3767, 3883, 4460, 9137, 1401, 4461, 543, 18873, 2659, 1072, 1416, 8502, 949, 2285, 596, 513, 2168, 981, 269, 1411, 949, 849, 723, 4255, 540, 707, 8401, 1062, 630, 928, 9951, 673, 981, 1040, 307, 3949, 666, 4341, 856, 824, 3123, 540, 707, 2589, 269, 1452, 949, 1331, 281, 7417, 294, 630, 1889, 9778, 519, 5122, 2534, 540, 519, 2634, 264, 661, 9680, 2304, 6850, 775, 13921, 6945, 630, 7417, 294, 264, 568, 513, 1449, 547, 2268, 519, 5122, 2534, 540, 519, 2634, 269, 15862, 5649, 9137, 3767, 3883, 4460, 9137, 5082, 1258, 22438, 698, 332, 2762, 267, 543, 8337, 543, 9023, 519, 6418, 1274, 609, 2011, 610, 1216, 547, 1449, 3750, 16846, 525, 630, 5632, 7595, 14242, 264, 5082, 1258, 22438, 698, 332, 2762, 16978, 1258, 22438, 698, 332, 2762, 568, 513, 1449, 602, 5654, 693, 3750, 5322, 547, 1294, 875, 1134, 13285, 538, 519, 2634, 616, 2324, 269, 1452, 13285, 616, 281, 309, 652, 24212, 8229, 630, 324, 662, 1862, 5649, 9137, 3767, 3883, 4460, 9137, 2836, 7595, 14242, 9773, 7595, 14242, 568, 513, 1449, 602, 3096, 3604, 538, 2837, 547, 13209, 3441, 547, 519, 17974, 8229, 269, 901, 568, 519, 8229, 602, 568, 3238, 538, 554, 1862, 5649, 9137, 3767, 3883, 4460, 9137, 10361, 11632, 11571, 10361, 11632, 11571, 288, 2212, 17223, 29821, 630, 6311, 264, 11571, 3096, 1082, 1535, 17530, 547, 1711, 5961, 540, 519, 2212, 267, 1519, 519, 15693, 267, 2634, 267, 3750, 1124, 22806, 267, 543, 5609, 4926, 269, 15862, 5649, 9137, 3767, 3883, 4460, 9137, 24651, 1449, 24651, 1449, 2304, 24384, 5852, 981, 4255, 707, 2702, 547, 5873, 4992, 269, 16319, 4268, 267, 1759, 593, 741, 10978, 1145, 630, 842, 3748, 264, 543, 519, 3432, 540, 3280, 5951, 21513, 630, 339, 821, 264, 1862, 15862, 5649, 9137, 3767, 3883, 4460, 9137, 18909, 540, 519, 2212, 28122, 540, 519, 2212, 288, 2212, 18909, 630, 332, 8568, 16982, 9196, 264, 568, 606, 9196, 1449, 602, 3096, 3532, 22197, 543, 5925, 6329, 547, 1711, 5961, 540, 519, 2634, 543, 4478, 1862, 15862, 5649, 9137, 3767, 3883, 4460, 9137, 9615, 6997, 31307, 4345, 2356, 4422, 2476, 1369, 513, 1906, 4374, 269, 9615, 666, 948, 2569, 9825, 15282, 543, 824, 2589, 269, 5709, 1149, 602, 949, 948, 1331, 281, 12901, 328, 7290, 26952, 5709, 1149, 547, 1852, 15353, 543, 13481, 267, 971, 607, 605, 18608, 704, 8872, 5709, 1149, 547, 14867, 21994, 267, 971, 607, 803, 743, 714, 710, 610, 1085, 641, 565, 8533, 20767, 2510, 267, 971, 607, 546, 27927, 788, 600, 630, 11749, 1756, 264, 595, 20294, 8803, 6950, 4165, 643, 12637, 11955, 1403, 596, 723, 4049, 13481, 267, 596, 949, 581, 15861, 547, 519, 6413, 269, 10287, 707, 8502, 781, 5528, 585, 2921, 1416, 540, 3054, 693, 1753, 269, 23560, 891, 1919, 666, 948, 596, 4383, 9825, 15282, 281, 21982, 1416, 540, 3054, 693, 1753, 2791, 949, 723, 2938, 707, 1072, 1416, 8502, 1317, 596, 723, 1185, 2978, 31307, 4345, 269, 901, 6418, 1274, 1966, 666, 2014, 596, 547, 1745, 899, 596, 616, 18343, 630, 1862, 5649, 9137, 3767, 3883, 4460, 9137, 13773, 1869, 543, 1964, 269, 3680, 6727, 5322, 610, 2990, 2242, 269, 10163, 1282, 4049, 14501, 269, 20405, 569, 16056, 2534, 269, 1411, 949, 991, 948, 6972, 950, 596, 6336, 707, 3666, 1282, 6285, 269, 3680, 6505, 8279, 267, 7641, 267, 543, 2542, 1282, 6285, 269, 9105, 707, 8502, 827, 3666, 3797, 269, 901, 949, 948, 2899, 15353, 543, 13481, 723, 5293, 269, 1411, 1058, 2057, 519, 1739, 585, 476, 272, 3018, 1310, 2589, 14897, 281, 7804, 1516, 21952, 5230, 12227, 29725, 6883, 589, 6727, 546, 714, 5414, 11963, 1282, 891, 2238, 666, 581, 5906, 269, 31326, 630, 3682, 3913, 2670, 264, 898, 3217, 942, 585, 2978, 31307, 4345, 2589, 547, 979, 2476, 4625, 2529, 324, 3164, 2589, 2356, 979, 2476, 1369, 513, 3018, 269, 4107, 1004, 616, 4625, 1732, 1369, 476, 273, 547, 476, 274, 3275, 269, 24771, 4079, 616, 811, 2693, 547, 723, 21994, 602, 16569, 3476, 16638, 1360, 4686, 2665, 267, 6217, 2530, 568, 8628, 269, 25792, 1290, 4124, 4658, 609, 4049, 9825, 15282, 949, 1205, 13204, 3603, 1813, 547, 7928, 13481, 269, 1879, 547, 13555, 513, 6481, 12333, 11910, 707, 8502, 952, 281, 2791, 723, 21994, 267, 9825, 15282, 267, 2530, 540, 3666, 267, 610, 824, 2589, 540, 2978, 31307, 4345, 1411, 723, 6217, 2530, 11910, 476, 26605, 610, 519, 2199, 6595, 1297, 952, 596, 723, 1022, 540, 519, 1739, 4049, 2589, 281, 3519, 341, 6160, 687, 1230, 341, 6160, 687, 288, 23069, 568, 519, 2168, 2242, 538, 2623, 602, 4386, 1282, 606, 12558, 540, 9402, 5122, 2534, 538, 519, 2634, 269, 634, 2165, 834, 572, 714, 675, 257, 568, 1419, 1862, 15862, 5649, 9137, 3767, 3883, 4460, 9137, 17677, 5075, 674, 31021, 966, 558, 1746, 513, 2603, 6215, 13899, 4633, 20539, 15282, 602, 4386, 609, 513, 8611, 540, 811, 982, 476, 6200, 13790, 630, 4343, 269, 274, 9180, 264, 31808, 1145, 610, 26900, 10644, 1703, 568, 1100, 1634, 1259, 547, 2061, 2978, 31307, 4345, 269, 15411, 22108, 27066, 25911, 2129, 681, 310, 267, 23514, 808, 290, 269, 24651, 543, 11466, 269, 769, 281, 7108, 2006, 700, 267, 5576, 29195, 3642, 267, 32308, 269, 7108, 2006, 4211, 1815, 559, 6925, 269, 476, 2918, 628, 1196, 269, 15740, 267, 13698, 281, 29021, 282, 476, 1708, 271, 281, 577, 777, 476, 6110, 11065, 334, 1682, 320, 611, 2098, 292, 267, 20052, 1014, 14408, 267, 4793, 559, 623, 294, 269, 9615, 540, 703, 847, 762, 9825, 15282, 269, 769, 281, 654, 4883, 15679, 267, 1196, 269, 1411, 332, 753, 543, 654, 4883, 27096, 673, 17889, 269, 476, 278, 628, 1196, 269, 15740, 267, 13698, 281, 29021, 282, 476, 1001, 278, 281, 577, 777, 476, 10755, 14371, 15957, 731, 808, 290, 267, 6215, 19495, 18040, 269, 32035, 540, 519, 2978, 31307, 269, 769, 281, 4469, 842, 623, 310, 267, 14731, 670, 310, 267, 670, 13774, 30750, 645, 295, 267, 1696, 620, 267, 32308, 269, 595, 17026, 902, 17305, 565, 28640, 1108, 281, 10361, 543, 3026, 1188, 17889, 269, 476, 278, 628, 1196, 269, 15740, 267, 13698, 281, 29021, 282, 476, 1708, 272, 281, 577, 777, 476, 14028, 269, 5472, 21581, 3412, 1137, 307, 690, 28606, 14169, 910, 14745, 634, 1274, 5161, 540, 5007, 267, 1647, 267, 543, 6418, 3889, 269, 634, 552, 731, 5300, 543, 519, 476, 274, 6263, 7633, 2932, 3280, 689, 519, 552, 731, 5300, 547, 519, 31882, 548, 320, 9950, 541, 14169, 650, 755, 1674, 28606, 14169, 910, 14745, 634, 1274, 5161, 540, 5007, 267, 1647, 267, 543, 6418, 3889, 269, 634, 552, 731, 5300, 543, 519, 476, 274, 6263, 7633, 2932, 3280, 689, 519, 552, 731, 5300, 547, 519, 31882, 548, 320, 9950, 541, 14169, 650, 755, 1674, 20236, 5516, 6997, 31307, 4345, 910, 1310, 3249, 13565, 6176, 667, 20063, 263, 21618, 264, 28606, 3968, 910, 8650, 18154, 1180, 819, 264, 13349, 4411, 18154, 1180, 819, 264, 5472, 25489, 18154, 1180, 819, 264, 2419, 565, 652, 324, 520, 5448, 18154, 1180, 819, 264, 4910, 21732, 263, 22492, 13445, 264, 302, 339, 4345, 18154, 1180, 819, 264, 29590, 543, 707, 1072, 263, 21618, 264, 293, 520, 8982, 263, 21618, 264, 28606, 5563, 263, 1103, 5937, 3704, 264, 8624, 1091, 543, 519, 2770, 263, 1103, 5937, 3704, 264, 5472, 21544, 28591, 4345, 263, 1103, 5937, 3704, 264, 5623, 11261, 281, 476, 278, 270, 2918, 270, 1708, 272, 5623, 539, 1635, 281, 9478, 966, 269, 8805, 749, 821, 267, 11022, 267, 4972, 540, 27096, 344, 267, 23101, 6481, 3427, 693, 18007, 534, 2160, 267, 6682, 6577, 267, 27359, 269, 5623, 3177, 676, 7638, 328, 8469, 16195, 8416, 269, 4746, 12649, 676, 6424, 2098, 10079, 267, 11022, 267, 631, 11190, 267, 6481, 10615, 267, 6601, 24229, 1230, 12537, 267, 32000, 10615, 267, 543, 519, 589, 6185, 6993, 8160, 269, 32000, 2319, 269, 634, 1344, 3177, 23954, 1058, 711, 581, 1031, 1282, 1022, 2564, 6595, 610, 585, 519, 5868, 610, 2126, 540, 1022, 2564, 2783, 269, 589, 13931, 2564, 3318, 1058, 581, 31570, 585, 5868, 543, 2126, 540, 1022, 543, 782, 2564, 2175, 269, 25103, 547, 824, 4609, 616, 3177, 585, 1344, 1152, 4534, 789, 798, 711, 13822, 23596, 906, 540, 1346, 824, 4609, 269, 9736, 476, 1960, 278, 268, 9736, 476, 1960, 278, 268, 2353, 2924, 11603, 269, 589, 6185, 6993, 8160, 269, 1543, 568, 1655, 9763, 538, 594, 292, 280, 610, 1657, 267, 32288, 2135, 543, 5616, 24904, 11422, 5861, 2632, 550, 568, 1655, 9763, 538, 594, 292, 280, 610, 1657, 267, 32288, 2135, 543, 5616, 24904, 11422, 269, 0, 26594, 8892, 17828, 32040, 570, 1619, 269, 11822, 8892, 17828, 570, 1619, 15873, 269, 8892, 23120, 570, 1619, 15873, 269, 570, 1619, 543, 2460 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 271, 316, 815, 476, 1911, 1477, 343, 318, 852, 314, 271, 316, 815, 476, 4200, 5897, 343, 318, 2181, 341, 5091, 2086, 314, 271, 316, 815, 476, 1911, 1477, 343, 318, 852, 5091, 2086, 314, 271, 316, 815, 476, 4200, 5897, 258, 7407, 547, 1900, 998, 8638, 540, 2527, 6753, 30889, 324, 666, 3651, 6753, 23228, 328, 815, 476, 271, 5897, 258, 343, 318, 10113, 267, 1535, 318, 2181, 341, 543, 1535, 318, 852, 616, 1031, 538, 519, 25586, 3830, 585, 519, 2241, 21506, 258, 327, 1301, 4577, 14251, 1807, 269, 1535, 318, 10113, 5091, 2086, 267, 1535, 318, 2181, 341, 5091, 2086, 543, 1535, 318, 852, 5091, 2086, 616, 1031, 585, 519, 1477, 258, 323, 2086, 539, 23191, 14251, 1807, 269, 476, 1452, 4834, 5173, 519, 4087, 540, 519, 2527, 1477, 258, 520, 519, 1985, 942, 8884, 1759, 593, 519, 1699, 543, 3105, 6753, 269, 567, 1477, 6112, 512, 2999, 2698, 4671, 6769, 825, 1535, 318, 10113, 815, 630, 8987, 330, 8276, 12684, 343, 318, 852, 5157, 316, 16732, 19049, 264, 1262, 273, 11924, 263, 273, 20080, 318, 852, 5157, 8079, 268, 343, 318, 2181, 341, 5157, 15947, 825, 1535, 318, 2181, 341, 5157, 266, 272, 316, 815, 1535, 318, 852, 5157, 15947, 825, 1535, 318, 852, 5157, 266, 272, 316, 815, 1535, 318, 10113, 1477, 24541, 825, 1535, 318, 10113, 5091, 2086, 815, 16733, 273, 265, 323, 318, 7806, 1470, 265, 19049, 265, 836, 6958, 516, 336, 20080, 318, 852, 5091, 2086, 5157, 8079, 268, 9230, 19049, 1262, 273, 31618, 836, 6958, 516, 336, 1262, 273, 12684, 315, 1477, 2018, 1535, 318, 852, 5091, 2086, 5157, 8079, 268, 343, 318, 2181, 341, 5091, 2086, 5157, 316, 23444, 273, 20080, 318, 852, 5091, 2086, 5157, 316, 4297, 14370, 273, 265, 323, 318, 7806, 1470, 265, 19049, 265, 836, 6958, 516, 336, 1341, 476, 272, 3418, 825, 1535, 318, 2181, 341, 5091, 2086, 5157, 266, 272, 316, 815, 1535, 318, 852, 5091, 2086, 5157, 15947, 825, 1535, 318, 852, 5091, 2086, 5157, 266, 272, 316, 815, 1535, 318, 10113, 5091, 2086, 1477, 24541, 825, 512, 6834, 24303, 1477, 825, 1775, 6834, 476, 272, 1477, 24541, 258, 22056, 4137, 609, 476, 273, 13602, 865, 649, 666, 1294, 1312, 519, 2241, 543, 14927, 539, 14251, 725, 269, 567, 1477, 14808, 815, 12301, 8807, 2682, 6600, 12127, 1125, 815, 630, 1015, 267, 1015, 264, 10142, 258, 13678, 921, 23191, 14251, 1807, 4729, 1477, 23054, 815, 4453, 14491, 5334, 889, 7120, 263, 21076, 3418, 23054, 15630, 21234, 3488, 26594, 15053, 4577, 744, 12965, 1807, 20298, 4812, 267, 815, 3113, 19502, 8443, 343, 318, 852, 314, 271, 316, 3910, 1496, 344, 314, 271, 316, 3910, 1412, 549, 20298, 23054, 26942, 31476, 258, 323, 2086, 539, 23191, 14251, 1807, 4729, 1477, 23054, 5091, 2086, 815, 4453, 14491, 5334, 889, 7120, 263, 18891, 3418, 23054, 5091, 2086, 15630, 21234, 3488, 291, 2086, 539, 15053, 4577, 744, 12965, 1807, 20298, 4812, 5091, 2086, 267, 815, 3113, 5091, 2086, 19502, 8443, 343, 318, 852, 5091, 2086, 314, 271, 316, 3910, 1496, 344, 314, 271, 316, 3910, 1412, 549, 20298, 23054, 5091, 2086, 269, 31320, 10947, 14729, 9471, 14061, 3553, 318, 6665, 1043, 263, 16178, 3418, 23054, 5091, 2086, 26942, 31476, 258, 3553, 1535, 14289, 7182, 865, 519, 2527, 568, 1369, 513, 10257, 2070, 8587, 1477, 23054, 15630, 13448, 3916, 8443, 268, 343, 318, 2181, 341, 314, 271, 30297, 272, 269, 276, 267, 1535, 318, 2181, 341, 314, 271, 30297, 272, 269, 276, 8079, 567, 1477, 23054, 5091, 2086, 15630, 13448, 3916, 8443, 268, 343, 318, 2181, 341, 314, 271, 30297, 272, 269, 276, 267, 1535, 318, 2181, 341, 314, 271, 30297, 272, 269, 276, 8079, 567, 1477, 23054, 269, 31320, 10947, 14729, 9471, 14061, 3553, 318, 6665, 1043, 263, 16178, 3418, 258, 4958, 5281, 513, 1007, 1448, 547, 4729, 593, 519, 1482, 4729, 269, 476, 901, 18788, 519, 5892, 21506, 258, 7120, 1540, 2798, 865, 602, 519, 4729, 568, 19347, 543, 649, 666, 2965, 4585, 519, 21506, 258, 21346, 14251, 622, 269, 476, 1284, 2811, 9247, 2921, 519, 4729, 543, 2220, 339, 747, 532, 519, 28367, 21506, 258, 4812, 1871, 547, 519, 1985, 1871, 538, 519, 1535, 318, 852, 610, 1535, 318, 852, 5091, 2086, 539, 1592, 23228, 3698, 14251, 622, 3799, 267, 1535, 318, 852, 267, 1535, 318, 2181, 341, 267, 1448, 8029, 825, 1448, 15630, 12774, 18828, 15126, 8443, 343, 318, 852, 19559, 3910, 586, 19559, 316, 8079, 3418, 825, 2132, 1448, 5897, 3698, 14927, 539, 318, 8113, 650, 622, 3799, 267, 1535, 318, 852, 5091, 2086, 267, 1535, 318, 2181, 341, 5091, 2086, 267, 1448, 5091, 2086, 8029, 825, 1448, 5091, 2086, 15630, 12774, 18828, 15126, 8443, 343, 318, 852, 5091, 2086, 19559, 3910, 586, 19559, 316, 8079, 3418, 825, 2132, 1448, 5091, 2086, 5897, 258, 322, 16226, 1142, 4214, 547, 6467, 28367, 1448, 585, 865, 1082, 14604, 543, 1711, 1477, 258, 1492, 14318, 649, 1616, 23228, 8643, 815, 14318, 12171, 15635, 2304, 11582, 6600, 580, 267, 14251, 622, 267, 14604, 815, 703, 6025, 4973, 4671, 7933, 339, 1070, 1422, 1477, 13376, 535, 16911, 14352, 343, 318, 852, 267, 1535, 318, 2181, 341, 267, 1448, 17903, 8643, 5091, 2086, 815, 14318, 12171, 15635, 2304, 11582, 6600, 580, 267, 14927, 539, 318, 8113, 650, 622, 267, 14604, 815, 703, 6025, 4973, 4671, 7933, 339, 1070, 1422, 1477, 13376, 535, 16911, 14352, 343, 318, 852, 5091, 2086, 267, 1535, 318, 2181, 341, 5091, 2086, 267, 1448, 5091, 2086, 264, 10142, 10823, 20481, 3890, 0, 258, 8745, 18452, 543, 3977, 454, 322, 640, 284, 6358, 3488, 1432, 568, 707, 2749, 540, 15335, 286, 30386, 32502, 13892, 25507, 9272, 3488, 1432, 568, 707, 23407, 13892, 286, 1412, 4917, 2745, 6600, 257, 7312, 2749, 540, 15335, 568, 2715, 322, 640, 269, 5115, 1388, 1125, 3890, 348, 543, 707, 23407, 13892, 281, 2715, 32502, 13892, 348, 15419, 0, 11133, 1499, 815, 1496, 272, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 276, 267, 476, 279, 267, 476, 1724, 267, 476, 2641, 267, 476, 4097, 267, 476, 4649, 267, 476, 8660, 2639, 11133, 1499, 14682, 805, 518, 318, 22474, 318, 276, 815, 1496, 11133, 585, 1003, 538, 2338, 952, 1003, 2999, 476, 276, 6540, 2745, 6600, 257, 346, 11133, 1499, 14682, 805, 518, 318, 22474, 318, 276, 348, 616, 519, 2338, 602, 616, 1447, 982, 476, 276, 834, 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 ]
[ 538, 513, 16147, 610, 10103, 269, 0, 8702, 547, 519, 9966, 1076, 4959, 291, 454, 294, 26661, 7896, 5680, 2457, 454, 11764, 1067, 5384, 585, 717, 26661, 4841, 454, 2005, 568, 2182, 547, 3494, 602, 1776, 1153, 1032, 568, 3297, 721, 256, 3776, 22064, 1053, 786, 723, 1082, 4374, 6619, 540, 873, 1282, 713, 942, 865, 621, 781, 1271, 585, 3237, 547, 2015, 670, 8582, 789, 786, 581, 7836, 602, 942, 269, 3371, 616, 513, 1906, 10372, 547, 1118, 713, 513, 8748, 4832, 585, 596, 543, 707, 22064, 1126, 563, 6701, 596, 6236, 513, 4832, 3786, 610, 1982, 585, 707, 1126, 286, 1677, 2327, 513, 3786, 610, 4832, 1982, 568, 1318, 585, 707, 1126, 267, 519, 7027, 585, 31453, 1308, 5753, 15565, 6998, 1982, 16984, 519, 1883, 2055, 2630, 267, 607, 1134, 607, 1022, 2055, 543, 4145, 707, 1126, 949, 723, 563, 272, 269, 1215, 1082, 1453, 2132, 1142, 1032, 286, 634, 1297, 540, 1453, 945, 2132, 547, 513, 1982, 1032, 1310, 1032, 568, 3622, 606, 13525, 540, 875, 1454, 3214, 10150, 519, 1982, 563, 273, 269, 1215, 1279, 1281, 519, 1982, 2196, 286, 15789, 4268, 689, 835, 547, 4557, 4374, 269, 634, 3259, 540, 513, 1982, 5540, 1312, 519, 2949, 1942, 543, 519, 5578, 1377, 602, 666, 581, 6913, 676, 519, 5171, 563, 274, 269, 1215, 2025, 616, 1982, 5171, 286, 2659, 1126, 949, 711, 581, 6899, 952, 972, 568, 1932, 1804, 606, 2085, 7934, 1063, 1864, 17017, 543, 824, 1982, 5171, 563, 275, 269, 1215, 1082, 1982, 5171, 616, 7608, 286, 634, 2949, 1297, 540, 5171, 267, 607, 1134, 607, 519, 2450, 540, 2534, 610, 1353, 2516, 267, 5540, 519, 5790, 540, 513, 1982, 543, 519, 5686, 540, 2238, 602, 616, 2009, 563, 276, 269, 1548, 568, 519, 5223, 540, 3610, 547, 5171, 286, 634, 2539, 519, 5223, 267, 519, 811, 1367, 3007, 707, 1126, 786, 4309, 563, 277, 269, 1548, 568, 519, 1982, 6205, 781, 4282, 286, 2755, 972, 568, 1100, 4998, 4282, 585, 513, 1982, 6205, 610, 4116, 267, 1413, 585, 1982, 3401, 609, 1995, 538, 519, 2361, 267, 519, 7287, 547, 960, 538, 513, 4832, 3491, 13559, 4259, 267, 543, 6612, 585, 741, 960, 563, 278, 269, 3657, 519, 1982, 6030, 834, 920, 9016, 257, 610, 834, 12061, 29931, 9016, 22172, 589, 1982, 781, 1935, 547, 5491, 568, 606, 7533, 851, 540, 922, 6138, 269, 15789, 602, 798, 711, 9886, 5491, 5000, 1053, 547, 11654, 513, 1888, 693, 3259, 1510, 1373, 7255, 827, 9344, 269, 15894, 3766, 7949, 532, 3292, 2070, 9344, 607, 513, 3339, 851, 540, 606, 4081, 1995, 563, 279, 269, 1772, 972, 6190, 3937, 547, 1450, 1169, 1126, 547, 7119, 4628, 286, 634, 2298, 540, 519, 6703, 543, 519, 2139, 3937, 2047, 1764, 519, 1377, 540, 707, 1126, 781, 9525, 269, 1280, 1383, 267, 693, 513, 2780, 3786, 267, 835, 2780, 585, 1169, 1079, 5171, 2636, 1142, 1126, 811, 960, 942, 982, 835, 2780, 585, 1169, 2947, 5171, 269, 901, 849, 10039, 547, 8047, 267, 1148, 267, 12416, 267, 2575, 267, 543, 5026, 3937, 563, 280, 269, 6496, 519, 1982, 1450, 585, 796, 2675, 1117, 27968, 942, 286, 2659, 1126, 949, 4782, 547, 723, 1169, 8792, 16516, 267, 610, 1352, 949, 4782, 513, 811, 17159, 10605, 602, 2882, 796, 2675, 1117, 27968, 1863, 942, 563, 1015, 269, 3657, 972, 9709, 1514, 2238, 585, 519, 3214, 286, 4107, 3292, 1544, 13016, 1895, 2238, 585, 5171, 547, 1205, 547, 917, 1142, 824, 269, 589, 1906, 3292, 4734, 713, 909, 547, 519, 1053, 563, 11045, 15659, 519, 4317, 7232, 332, 10899, 20126, 540, 2659, 717, 26661, 4132, 454, 3080, 540, 519, 1034, 4101, 3344, 540, 15970, 543, 18997, 22064, 1053, 568, 5870, 741, 1514, 15041, 10899, 2115, 269, 14268, 666, 6108, 930, 942, 713, 4832, 2542, 4930, 593, 519, 1514, 15041, 10899, 2115, 540, 22064, 1053, 269, 30451, 607, 1134, 607, 3237, 666, 2744, 1454, 1620, 689, 891, 4930, 543, 7270, 912, 5649, 2201, 519, 4317, 543, 16508, 22032, 540, 717, 26661, 4841, 676, 3004, 1097, 700, 269, 9061, 267, 12854, 454, 6944, 652, 543, 22952, 454, 3674, 707, 22064, 1126, 5461, 538, 6735, 286, 8437, 519, 3095, 2630, 585, 930, 2093, 789, 1522, 581, 5461, 538, 713, 4832, 256, 2552, 3949, 543, 14847, 1431, 585, 717, 26661, 4841, 454, 29613, 553, 585, 14400, 8342, 454, 763, 1739, 3095, 814, 1082, 2093, 585, 22064, 1053, 689, 2835, 547, 5100, 9162, 267, 607, 1134, 607, 17476, 543, 3301, 269, 6744, 621, 856, 256, 14400, 14313, 585, 8866, 543, 1855, 839, 454, 7476, 3238, 256, 3776, 8664, 814, 519, 9966, 1076, 14268, 585, 717, 26661, 543, 13669, 5034, 3919, 269, 6744, 856, 519, 3896, 543, 1205, 3238, 256, 0, 290, 6737, 551, 514, 30166, 864, 568, 513, 1895, 540, 15456, 4609, 2404, 609, 513, 476, 1015, 267, 1822, 14092, 516, 4401, 2324, 19460, 1950, 6580, 689, 519, 3735, 476, 1240, 628, 543, 476, 866, 628, 5553, 538, 19291, 6019, 267, 15930, 269, 634, 4015, 2882, 2326, 689, 519, 1336, 787, 3135, 630, 1240, 15709, 17168, 1070, 513, 5614, 5264, 3135, 630, 1240, 15709, 25834, 1070, 606, 3979, 12677, 10553, 28200, 630, 1240, 15709, 26825, 1070, 543, 513, 476, 866, 628, 10601, 1295, 518, 779, 2777, 630, 1240, 15709, 27844, 1040, 1452, 4609, 941, 13006, 538, 476, 3192, 278, 1282, 513, 18001, 594, 5619, 676, 2107, 337, 543, 12312, 585, 519, 6069, 12242, 1436, 540, 772, 2529, 269, 27953, 476, 1428, 1063, 10925, 5864, 10003, 543, 15930, 27953, 476, 6507, 538, 774, 584, 23992, 269, 595, 6737, 551, 514, 30166, 864, 4564, 513, 3407, 4199, 585, 25643, 519, 1646, 540, 519, 4401, 2872, 538, 519, 2136, 2276, 543, 2810, 1620, 827, 519, 19824, 543, 1570, 2528, 540, 922, 4600, 563, 290, 6737, 551, 514, 30166, 864, 24872, 5264, 13478, 7428, 5264, 24250, 864, 3118, 630, 1240, 15709, 25834, 994, 763, 595, 6737, 551, 514, 30166, 864, 24872, 5264, 13478, 7428, 5264, 24250, 864, 3118, 13505, 630, 1240, 15709, 25834, 264, 568, 513, 476, 866, 628, 10601, 2497, 2404, 609, 513, 5614, 2282, 519, 589, 889, 1248, 631, 6416, 269, 634, 6149, 2679, 729, 8246, 607, 513, 5614, 5264, 689, 5111, 476, 8687, 276, 547, 476, 5908, 271, 267, 950, 621, 729, 9168, 547, 513, 8602, 5264, 269, 589, 5198, 3118, 729, 2663, 9112, 547, 8756, 1216, 547, 589, 889, 1248, 623, 1180, 563, 763, 9998, 2497, 693, 476, 1240, 15709, 25834, 1185, 513, 27341, 1652, 2361, 7723, 5748, 7893, 476, 1321, 3952, 593, 1142, 2427, 267, 543, 513, 15839, 7127, 1900, 267, 543, 7902, 547, 1599, 607, 513, 5614, 5264, 585, 519, 12104, 3130, 540, 3536, 269, 589, 835, 20878, 5394, 11308, 512, 893, 729, 5116, 1472, 519, 9703, 540, 519, 6149, 6821, 547, 8756, 5614, 1216, 883, 513, 4496, 6952, 16935, 538, 519, 22703, 7944, 269, 2107, 337, 543, 2107, 337, 28756, 3293, 602, 513, 6659, 15839, 6989, 729, 1459, 538, 519, 2497, 779, 5805, 322, 822, 730, 4099, 269, 4826, 23012, 998, 513, 3046, 1042, 1989, 650, 593, 519, 1524, 24824, 2427, 267, 799, 4797, 538, 946, 1310, 22058, 725, 10736, 519, 2679, 883, 513, 8602, 5264, 269, 589, 3723, 540, 3037, 729, 5116, 936, 519, 3312, 6989, 267, 543, 513, 834, 312, 27324, 3333, 9464, 15839, 8963, 729, 1031, 547, 3560, 1216, 2047, 547, 519, 4009, 4401, 6952, 16935, 267, 689, 799, 513, 10612, 729, 8704, 547, 8756, 1216, 3544, 540, 519, 2497, 269, 589, 1007, 9206, 7723, 6989, 729, 2322, 1524, 267, 543, 513, 8602, 30344, 729, 8704, 538, 519, 22236, 7944, 267, 1141, 513, 4009, 10612, 729, 4092, 269, 589, 8523, 7000, 602, 519, 2679, 729, 726, 770, 1229, 267, 543, 1185, 513, 695, 532, 1194, 8122, 269, 634, 2679, 729, 14460, 538, 476, 4489, 276, 267, 950, 11255, 21818, 729, 8704, 538, 519, 589, 889, 1248, 631, 6416, 267, 543, 922, 2361, 7723, 6821, 941, 2663, 1031, 547, 4020, 513, 5397, 3118, 563, 7628, 519, 18001, 594, 5619, 538, 476, 3192, 278, 267, 2107, 337, 543, 12312, 14155, 730, 835, 1079, 8386, 26690, 20356, 1449, 1770, 538, 519, 22070, 7944, 540, 519, 2679, 267, 13031, 3670, 6030, 540, 2361, 7723, 1614, 3952, 2630, 519, 2666, 2627, 269, 1323, 3606, 1079, 8386, 26690, 20356, 1449, 1770, 729, 5116, 538, 519, 2497, 779, 9703, 267, 26500, 513, 6149, 6989, 693, 513, 3178, 540, 476, 1240, 6279, 269, 2107, 337, 543, 12312, 849, 5342, 18001, 4083, 13753, 693, 476, 1240, 15709, 25834, 538, 476, 3192, 280, 269, 9050, 512, 29168, 941, 14155, 730, 547, 1016, 31542, 693, 519, 15174, 540, 519, 2679, 267, 13902, 547, 519, 6821, 267, 543, 941, 9450, 547, 2263, 909, 547, 3368, 540, 1142, 3774, 269, 769, 1840, 267, 1079, 13374, 512, 29168, 941, 25653, 267, 835, 538, 4395, 540, 519, 7450, 3118, 543, 835, 5216, 3952, 7532, 540, 519, 22703, 7944, 269, 31854, 15572, 545, 6106, 941, 14155, 730, 14384, 267, 543, 782, 3037, 729, 29971, 998, 476, 272, 270, 279, 20878, 17450, 269, 634, 18001, 4083, 7634, 14155, 730, 5111, 476, 2004, 260, 540, 519, 3135, 1354, 621, 729, 12617, 585, 519, 12242, 1436, 540, 772, 2529, 269, 27953, 476, 1428, 563, 288, 2698, 540, 476, 278, 267, 279, 1428, 13742, 941, 16626, 1282, 519, 13753, 693, 519, 595, 6737, 551, 514, 30166, 864, 11354, 5264, 20324, 987, 5264, 24250, 864, 3118, 13505, 269, 3203, 604, 716, 2079, 729, 1031, 5097, 547, 4266, 1808, 22058, 725, 547, 519, 2497, 543, 547, 5581, 519, 2238, 602, 7018, 693, 519, 3135, 563, 9209, 604, 9711, 4266, 519, 4070, 540, 519, 5614, 5264, 547, 519, 2038, 476, 866, 628, 2540, 267, 543, 3769, 3688, 799, 616, 2808, 547, 581, 1599, 958, 1644, 547, 922, 2238, 269, 9050, 4627, 543, 15823, 17375, 521, 615, 1091, 267, 6580, 689, 524, 269, 9264, 271, 2275, 269, 5908, 271, 267, 1331, 1977, 6149, 2264, 543, 552, 691, 1156, 2264, 8043, 267, 543, 513, 1804, 2179, 540, 4483, 268, 2745, 539, 543, 4544, 543, 3039, 7387, 24737, 3022, 27081, 342, 4100, 543, 3043, 342, 4100, 269, 634, 5354, 540, 519, 17375, 521, 615, 1091, 616, 10051, 5829, 3649, 637, 8204, 8286, 543, 5186, 4242, 585, 1426, 4859, 543, 12104, 3130, 269, 11629, 1116, 11935, 267, 971, 607, 18969, 267, 29147, 267, 543, 15839, 15998, 267, 941, 849, 1455, 563, 763, 7503, 547, 513, 8602, 5264, 568, 10423, 538, 519, 13742, 6580, 689, 519, 2034, 3368, 540, 519, 476, 866, 628, 2540, 269, 590, 4869, 8696, 2347, 20398, 543, 513, 1804, 1297, 540, 1688, 2173, 1245, 539, 15839, 15998, 941, 4362, 538, 519, 6445, 602, 11506, 519, 6149, 6989, 269, 4033, 11265, 11935, 3769, 9206, 7723, 838, 8712, 267, 18969, 267, 27341, 267, 543, 29147, 269, 595, 10984, 923, 543, 4837, 11480, 15998, 849, 18584, 689, 519, 3735, 476, 866, 628, 2540, 563, 763, 595, 6737, 551, 514, 30166, 864, 19475, 14635, 814, 1044, 5258, 883, 2185, 2127, 676, 15456, 3135, 1297, 281, 519, 5853, 787, 630, 1240, 15709, 17168, 5148, 519, 11354, 5264, 20324, 987, 5264, 24250, 864, 3118, 630, 1240, 15709, 25834, 5148, 519, 11412, 1676, 8738, 10118, 630, 1240, 15709, 26825, 5148, 543, 519, 14295, 344, 5600, 630, 1240, 15709, 27844, 1040, 22731, 5638, 585, 782, 2185, 4609, 616, 8766, 267, 855, 1346, 602, 2291, 616, 538, 1434, 2783, 267, 609, 2370, 13897, 543, 28969, 269, 634, 4015, 568, 7768, 540, 2185, 4484, 13355, 31150, 804, 4461, 17850, 338, 267, 835, 16136, 1242, 26456, 267, 543, 835, 3561, 5066, 563, 2750, 322, 822, 566, 5638, 585, 476, 1240, 15709, 17168, 2874, 540, 3232, 2361, 13746, 267, 4566, 267, 543, 12632, 269, 1358, 723, 1044, 6896, 676, 1032, 540, 26995, 630, 3192, 280, 543, 476, 2735, 272, 1040, 1280, 519, 476, 3192, 280, 14155, 725, 267, 1152, 8370, 4183, 3029, 616, 1459, 269, 2353, 824, 5638, 723, 1044, 1085, 10165, 607, 1547, 14457, 6119, 267, 2139, 2228, 855, 711, 3406, 762, 269, 1358, 1331, 4566, 24579, 325, 3796, 267, 9126, 543, 8523, 20743, 267, 4282, 1382, 267, 15038, 7933, 3704, 5638, 267, 4967, 593, 519, 16935, 2481, 267, 16136, 1242, 7851, 267, 543, 824, 3765, 3250, 1415, 269, 1703, 616, 1079, 5359, 593, 519, 5853, 787, 3135, 281, 16329, 1670, 19196, 822, 725, 693, 13505, 476, 1240, 15709, 17168, 595, 6737, 551, 514, 267, 15930, 630, 300, 559, 1676, 476, 3192, 280, 1070, 543, 589, 7797, 593, 519, 19196, 822, 566, 540, 606, 1323, 322, 16736, 9351, 630, 306, 924, 476, 1240, 15709, 17168 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9406, 9255, 1280, 15531, 634, 9406, 18370, 14033, 1411, 2336, 1492, 1655, 17970, 1995, 1775, 4312, 1185, 538, 562, 26338, 538, 1296, 256, 1775, 729, 3168, 585, 513, 1747, 602, 1705, 2182, 15074, 543, 1185, 737, 17671, 10768, 17702, 15074, 18969, 1135, 8460, 543, 713, 1747, 568, 621, 269, 3094, 22448, 5059, 593, 782, 519, 3877, 543, 729, 2731, 9543, 609, 1250, 18969, 543, 1500, 803, 1745, 6899, 6998, 585, 4376, 1114, 269, 2759, 1834, 543, 17970, 1416, 729, 3769, 543, 519, 3902, 1448, 568, 1390, 269, 1775, 4769, 1405, 1205, 513, 1374, 855, 972, 781, 513, 2603, 540, 1374, 3681, 543, 786, 1219, 581, 3478, 513, 1374, 1985, 942, 269, 1775, 3513, 1152, 581, 4947, 1934, 585, 1631, 593, 856, 2336, 30706, 2094, 594, 1336, 28001, 715, 841, 6428, 517, 267, 594, 4076, 1044, 513, 10121, 6075, 543, 2760, 6743, 693, 1776, 17970, 2892, 517, 269, 1358, 5838, 11108, 2164, 1169, 942, 594, 6557, 972, 267, 543, 1250, 18969, 18923, 12740, 1310, 476, 275, 4374, 540, 2348, 15074, 593, 269, 594, 993, 1360, 967, 1815, 529, 633, 950, 621, 2501, 547, 1018, 4778, 594, 1616, 267, 855, 3025, 779, 1044, 2706, 8383, 908, 543, 4152, 4778, 856, 2394, 594, 1265, 835, 594, 899, 256, 7981, 7064, 585, 24981, 585, 8383, 908, 2063, 8792, 543, 2484, 856, 2104, 31681, 267, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 310, 895, 5516, 5004, 257, 607, 851, 540, 834, 25503, 1315, 20466, 2657, 7896, 1315, 8447, 10657, 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, 8702, 547, 938, 3552, 3014, 5986, 7045, 256, 1411, 1522, 581, 11842, 267, 1018, 568, 3552, 3014, 286, 4270, 267, 1589, 540, 782, 1346, 2831, 602, 2661, 856, 538, 2470, 267, 899, 13650, 267, 17544, 267, 543, 1256, 25277, 256, 4658, 723, 1044, 10122, 891, 2831, 585, 5215, 540, 1296, 267, 1210, 1169, 3787, 540, 873, 547, 7639, 269, 4653, 267, 649, 1869, 6968, 930, 540, 891, 7068, 267, 855, 1631, 649, 849, 3434, 873, 909, 883, 8949, 6980, 2439, 3086, 267, 1577, 781, 2911, 827, 1946, 3552, 3014, 568, 2027, 269, 5620, 596, 2479, 4862, 2576, 2161, 602, 1945, 16919, 834, 18524, 344, 22172, 2334, 1797, 621, 814, 513, 2189, 8137, 602, 781, 1114, 689, 3484, 268, 571, 2213, 16469, 269, 2368, 1004, 2648, 602, 2178, 6492, 267, 1247, 1866, 4782, 7646, 518, 10366, 269, 23657, 1259, 267, 621, 781, 1187, 547, 2119, 1007, 1919, 543, 3605, 707, 1378, 7375, 2439, 6524, 11362, 883, 10346, 267, 972, 616, 1079, 1898, 4388, 585, 5986, 3552, 3014, 269, 3689, 267, 3314, 602, 3552, 3014, 6091, 960, 9875, 982, 3484, 539, 3662, 6091, 1317, 789, 887, 600, 11884, 269, 901, 2306, 519, 5779, 27162, 615, 267, 865, 3500, 5986, 2409, 693, 2539, 5210, 616, 1655, 269, 19627, 267, 2094, 3552, 3014, 3884, 1405, 29253, 2407, 540, 11216, 610, 824, 21187, 899, 12051, 1922, 28534, 5779, 267, 621, 2115, 3063, 1416, 547, 3251, 4195, 269, 11408, 1832, 3552, 3014, 14023, 730, 2394, 596, 2811, 4712, 547, 3434, 621, 267, 543, 2760, 4734, 2451, 13569, 9361, 856, 1932, 1279, 780, 5649, 344, 547, 1376, 5986, 286, 2913, 781, 2263, 1614, 11599, 6237, 1977, 8286, 10023, 3552, 3014, 281, 9006, 2581, 31625, 689, 7147, 267, 15529, 12403, 689, 17039, 267, 543, 19323, 9098, 29160, 269, 3962, 11600, 8711, 2241, 5820, 267, 2653, 2553, 267, 543, 2686, 4296, 547, 948, 596, 1174, 875, 1426, 9356, 1686, 543, 2245, 780, 272, 269, 10469, 2581, 932, 8270, 630, 307, 1410, 553, 13910, 994, 309, 523, 2581, 568, 10709, 2699, 5779, 2147, 547, 14132, 267, 1818, 621, 3501, 585, 2295, 344, 5162, 27130, 543, 12403, 338, 269, 769, 7147, 267, 31625, 568, 3978, 1870, 1765, 810, 10544, 707, 10800, 24742, 11058, 543, 1577, 781, 1205, 3323, 2439, 28808, 19263, 912, 1892, 476, 273, 7273, 2666, 9006, 2581, 454, 1892, 476, 273, 512, 26138, 10448, 3282, 454, 1892, 476, 272, 1804, 22323, 267, 22872, 454, 1892, 476, 275, 804, 7174, 13342, 267, 1295, 1027, 454, 1892, 476, 273, 23691, 8459, 10365, 267, 27071, 543, 32092, 539, 454, 1892, 476, 272, 666, 16760, 14274, 630, 2764, 12063, 994, 1892, 476, 273, 11680, 14132, 26185, 454, 1892, 476, 274, 512, 26138, 31625, 8869, 454, 1892, 476, 272, 512, 4944, 2666, 524, 6058, 454, 1892, 17865, 543, 14723, 547, 6492, 692, 9743, 15297, 912, 272, 269, 14333, 3282, 936, 5420, 3002, 538, 513, 1804, 1494, 269, 5410, 19637, 543, 1094, 583, 2946, 2394, 21352, 539, 267, 1287, 13489, 538, 13342, 543, 3434, 585, 1776, 8792, 563, 273, 269, 595, 5300, 1076, 9006, 2581, 883, 519, 1494, 267, 8840, 6306, 1022, 25098, 607, 621, 536, 992, 985, 269, 667, 1778, 1055, 4430, 3170, 952, 2877, 563, 274, 269, 4495, 519, 5779, 568, 11273, 998, 267, 20057, 548, 538, 31625, 8869, 543, 524, 6058, 269, 17186, 1134, 547, 10359, 3388, 14961, 563, 275, 269, 32449, 538, 16760, 14274, 267, 14132, 26185, 267, 543, 10365, 269, 20780, 7848, 547, 513, 31652, 563, 276, 269, 21079, 3002, 547, 1970, 267, 3382, 519, 1494, 267, 543, 1450, 31625, 547, 19389, 9900, 585, 693, 2547, 476, 3445, 3764, 267, 28817, 12212, 269, 17897, 609, 6070, 543, 14723, 1354, 7674, 563, 277, 269, 31160, 3905, 609, 8970, 30103, 610, 12475, 8759, 13365, 593, 519, 2427, 269, 17949, 707, 6809, 534, 21649, 2439, 273, 269, 595, 1690, 684, 31594, 19731, 630, 299, 537, 529, 10005, 13910, 994, 305, 629, 4226, 1031, 547, 581, 513, 1455, 7594, 1851, 8828, 3885, 1282, 2182, 2053, 269, 27009, 267, 21962, 2972, 4687, 741, 6952, 609, 12543, 543, 2828, 269, 8347, 713, 3636, 267, 4313, 532, 12403, 29689, 609, 2757, 11511, 1961, 10366, 2439, 28808, 19263, 912, 1892, 476, 272, 2898, 15529, 630, 12671, 476, 274, 7273, 1070, 2759, 883, 4773, 454, 1892, 476, 26528, 7484, 7912, 454, 1892, 476, 16006, 7484, 10448, 3282, 454, 1892, 476, 272, 1804, 22323, 267, 22872, 454, 1892, 476, 275, 26106, 802, 13767, 2044, 267, 30000, 454, 1892, 476, 272, 3039, 11350, 14723, 267, 6079, 539, 543, 22872, 454, 1892, 476, 275, 804, 7174, 13342, 267, 1295, 1027, 454, 1892, 476, 275, 11680, 9269, 6006, 454, 1892, 476, 272, 666, 546, 5367, 14274, 630, 1691, 269, 276, 12063, 994, 1892, 476, 273, 15922, 3762, 454, 1892, 476, 272, 512, 4944, 12015, 16815, 1889, 454, 1892, 476, 272, 512, 4944, 13099, 27996, 454, 1892, 17865, 543, 3109, 14723, 547, 6492, 454, 1892, 12182, 14036, 630, 28436, 2020, 9743, 15297, 912, 272, 269, 667, 1042, 613, 1142, 4062, 540, 15529, 538, 7912, 267, 24373, 1055, 4430, 269, 5590, 11735, 563, 273, 269, 24953, 3282, 538, 513, 10656, 14089, 936, 5420, 30041, 3002, 269, 9466, 15529, 4773, 538, 10627, 2583, 282, 4483, 536, 27547, 4773, 547, 513, 6676, 2899, 11344, 563, 274, 269, 590, 2246, 2946, 5388, 630, 21955, 13342, 264, 538, 6967, 3282, 2394, 13035, 269, 3973, 13489, 538, 13342, 543, 3434, 585, 1776, 8792, 563, 275, 269, 14109, 30257, 4005, 902, 936, 19787, 267, 11544, 8499, 269, 20405, 569, 13248, 538, 9269, 6006, 1247, 16150, 532, 5377, 540, 3443, 547, 2554, 331, 10270, 563, 276, 269, 17776, 15529, 547, 1494, 2059, 609, 546, 5367, 14274, 543, 15922, 3762, 269, 3244, 1067, 20114, 585, 5111, 835, 5662, 610, 2394, 15529, 3587, 23643, 2389, 2658, 563, 277, 269, 17179, 15922, 3762, 267, 4188, 4005, 902, 267, 543, 4196, 7258, 7573, 610, 12933, 344, 3694, 269, 10426, 3905, 14036, 693, 519, 3349, 585, 3773, 1990, 652, 2439, 274, 269, 645, 8898, 9098, 8293, 597, 7758, 454, 306, 9595, 7758, 949, 3100, 8966, 547, 930, 267, 855, 29630, 1014, 13896, 16941, 8185, 593, 713, 10731, 4199, 269, 2060, 922, 5743, 6853, 2960, 543, 5848, 9703, 267, 19323, 29160, 3091, 513, 17175, 4244, 547, 16738, 780, 28808, 19263, 912, 1892, 476, 273, 2898, 25277, 630, 12671, 476, 273, 7273, 2698, 1070, 19345, 543, 14415, 1229, 454, 1892, 476, 272, 7484, 855, 3410, 20488, 454, 1892, 476, 272, 476, 16006, 11680, 1582, 8573, 2358, 7912, 454, 1892, 476, 272, 512, 4944, 6070, 454, 1892, 476, 272, 512, 4944, 13342, 8869, 454, 1892, 476, 272, 512, 4944, 22323, 8869, 454, 1892, 476, 272, 512, 4944, 13099, 27996, 454, 1892, 4563, 14723, 547, 6492, 454, 1892, 17164, 762, 3282, 585, 31068, 692, 9743, 15297, 912, 272, 269, 4427, 1067, 613, 29160, 4773, 538, 855, 3410, 20488, 282, 2261, 3729, 16074, 538, 519, 26806, 563, 273, 269, 2776, 17742, 14089, 547, 476, 23841, 13790, 630, 5002, 9180, 1040, 13983, 848, 513, 476, 280, 343, 1724, 10759, 11256, 8670, 563, 274, 269, 28799, 3819, 5820, 538, 513, 13719, 12826, 269, 3213, 520, 1142, 4062, 540, 29160, 14961, 609, 7912, 7848, 563, 275, 269, 19130, 513, 2620, 1236, 32576, 28870, 609, 10448, 3282, 282, 3002, 936, 5420, 30041, 18723, 2394, 695, 20810, 532, 563, 276, 269, 1744, 820, 1055, 4430, 7912, 689, 29160, 20453, 543, 5402, 1747, 873, 538, 12699, 3282, 269, 674, 787, 2394, 11344, 6960, 593, 1312, 5011, 563, 277, 269, 18734, 22304, 29160, 547, 5423, 11256, 8670, 267, 25786, 4773, 2879, 1872, 569, 538, 513, 2582, 4494, 269, 15147, 29101, 609, 23240, 563, 278, 269, 645, 820, 585, 476, 3393, 3764, 267, 9427, 23240, 1310, 476, 1789, 3764, 547, 1450, 25568, 547, 26546, 563, 279, 269, 31160, 5612, 609, 11792, 1117, 12277, 610, 8970, 22596, 22635, 30103, 269, 5548, 5534, 1145, 19179, 1080, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1432, 568, 621, 827, 6529, 5515, 602, 3622, 2408, 547, 1118, 721, 14902, 286, 1772, 621, 519, 4674, 16531, 540, 519, 23477, 286, 12344, 519, 9644, 3622, 5526, 547, 979, 609, 519, 4731, 333, 712, 1639, 23877, 286, 3143, 2339, 1018, 519, 7778, 267, 4197, 519, 25529, 10632, 674, 1066, 5414, 1107, 5131, 5680, 1759, 717, 5446, 15080, 3014, 15670, 2228, 616, 7487, 513, 21782, 538, 1719, 538, 741, 1863, 3014, 7418, 269, 2037, 1120, 2045, 18793, 666, 3643, 891, 4609, 267, 4945, 593, 513, 11080, 2140, 602, 8395, 1132, 873, 267, 543, 2253, 4730, 1318, 2476, 269, 589, 1804, 6712, 540, 519, 5647, 1271, 547, 2196, 891, 3756, 568, 19658, 676, 519, 4890, 18353, 267, 865, 621, 538, 513, 1483, 2631, 568, 513, 968, 7257, 1154, 543, 1404, 892, 3510, 2507, 8197, 267, 1447, 519, 13613, 267, 15069, 269, 8616, 267, 950, 596, 1205, 4448, 547, 713, 11080, 2872, 267, 596, 786, 6385, 1294, 519, 2601, 1946, 865, 1082, 32266, 616, 851, 1136, 538, 519, 1863, 1357, 2861, 5933, 538, 811, 29810, 2338, 269, 8489, 1684, 1452, 10632, 22067, 3245, 286, 763, 1357, 1759, 11080, 2199, 1858, 568, 9247, 8659, 513, 1804, 1297, 540, 9367, 267, 24990, 2437, 780, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 2910, 19170, 1315, 13636, 1299, 8836, 1315, 1977, 1315, 4937, 1315, 8187, 10794, 18181, 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, 769, 2487, 1296, 267, 972, 814, 1044, 3395, 1719, 543, 7521, 4478, 519, 10167, 540, 5841, 4987, 630, 9590, 264, 543, 3909, 7881, 269, 901, 19427, 12651, 1950, 2055, 827, 519, 2470, 540, 8103, 267, 9637, 267, 13919, 267, 543, 2820, 6541, 269, 1306, 3642, 1949, 1831, 5051, 10427, 267, 789, 4161, 2757, 3909, 4978, 543, 2853, 1247, 849, 5356, 1007, 3255, 585, 5289, 4082, 543, 5683, 8086, 269, 769, 713, 1576, 1770, 267, 649, 786, 2263, 891, 2152, 538, 3178, 267, 5373 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10985, 454, 268, 476, 275, 628, 7981, 1399, 10985, 593, 26066, 267, 6480, 4231, 543, 5510, 17060, 7177, 1315, 476, 275, 11726, 1889, 16016, 26408, 1512, 773, 524, 20110, 16210, 27056, 1696, 679, 2113, 24586, 17535, 454, 268, 476, 274, 6113, 7981, 1399, 10985, 593, 7698, 7177, 1299, 11930, 23317, 1315, 476, 274, 324, 4762, 2946, 5270, 838, 2946, 1017, 529, 19902, 1147, 682, 575, 2946, 22448, 964, 1319, 2946, 686, 14513, 1696, 803, 4754, 1664, 3365, 1172, 19902, 454, 268, 476, 275, 628, 14716, 7981, 1399, 10985, 1315, 476, 275, 324, 4762, 2946, 5270, 838, 2946, 1017, 529, 19902, 1147, 3288, 4070, 454, 268, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 570, 22379, 1299, 22957, 1315, 11982, 1315, 17667, 1315, 17667, 28814, 5004, 4635, 3642, 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, 5272, 10732, 12784, 267, 1325, 20811, 1223, 581, 1336, 14598, 3481, 936, 1200, 10051, 3349, 267, 11303, 676, 25985, 540, 2025, 17002, 1957, 269, 2060, 632, 1111, 3946, 543, 513, 1543, 539, 12837, 267, 1352, 9927, 23987, 9212, 883, 16517, 2370, 711, 788, 6758, 585, 1200, 2828, 269, 3962, 4062, 540, 4484, 13355, 1957, 729, 23939, 25649, 1614, 2053, 1354, 1373, 30000, 2059, 519, 8728, 547, 1711, 5216, 1507, 4063, 4574, 269, 1452, 20538, 25704, 941, 1287, 16432, 883, 22619, 344, 588, 2931, 543, 3728, 2989, 1927, 609, 1079, 3972, 344, 25411, 1255, 780, 3080, 13566, 14349, 6640, 267, 607, 1325, 20811, 5423, 1200, 12353, 6728, 2044, 16801, 267, 1200, 1655, 3659, 23183, 11074, 676, 585, 606, 791, 668, 696, 340, 3643, 269, 3502, 6005, 519, 5432, 6429, 267, 23183, 4280, 827, 1325, 20811, 781, 2189, 15908, 269, 2271, 29098, 267, 1325, 20811, 23362, 3838, 1200, 6612, 585, 909, 19464, 729, 339, 788, 1653, 1247, 11744, 875, 3362, 621, 2968, 3730, 711, 788, 1653, 780, 257, 2080, 2437, 1767, 1325, 20811, 267, 1688, 532, 23183, 513, 28448, 1500, 14950, 269, 834, 2521, 1603, 593, 713, 1701, 28438, 31394, 609, 7279, 267, 23183, 7608, 519, 10516, 543, 31163, 16940, 1524, 930, 4555, 269, 2991, 11423, 1896, 3817, 267, 1352, 6743, 909, 693, 1325, 20811, 267, 24330, 780, 257, 32452, 256, 901, 7959, 1175, 899, 2834, 1957, 855, 6616, 594, 6415, 4543, 4688, 4054, 2306, 803, 1745, 1434, 10590, 608, 13094, 23183, 269, 22628, 1200, 3659, 781, 15131, 267, 1325, 20811, 6700, 267, 834, 2791, 917, 1018, 286, 4208, 1810, 1405, 596, 1491, 713, 2898, 711, 788, 611, 1753, 543, 946, 621, 2429, 707, 3018, 12482, 300, 807, 25747, 8815, 267, 2921, 1416, 547, 4558, 1200, 1007, 14951, 9108, 538, 1200, 9126, 269, 3683, 519, 1985, 1906, 2395, 267, 23183, 8246, 519, 711, 788, 611, 29367, 910, 795, 31857, 17365, 8638, 267, 26004, 15737, 267, 1256, 11516, 4221, 856, 2093, 1282, 23730, 7886, 693, 960, 269, 1635, 13628, 10543, 267, 1152, 4557, 10145, 3817, 7283, 269, 2201, 11016, 267, 2705, 267, 1945, 6397, 5949, 282, 3079, 540, 8757, 585, 1200, 11537, 10357, 7888, 711, 788, 611, 267, 23183, 15534, 332, 14800, 569, 13603, 909, 513, 20202, 4063, 689, 1200, 11380, 2721, 518, 543, 1085, 3863, 1194, 1200, 547, 28273, 1592, 2066, 922, 23287, 2627, 780, 4002, 14349, 267, 950, 1325, 20811, 1572, 547, 2638, 593, 23183, 781, 1995, 609, 519, 711, 788, 611, 267, 1352, 4121, 827, 519, 6467, 269, 1703, 729, 16563, 585, 513, 4090, 1354, 1325, 20811, 9900, 18056, 1200, 3659, 540, 519, 2956, 540, 6857, 5079, 269, 834, 8855, 267, 1169, 3375, 12523, 267, 1100, 2339, 875, 28971, 621, 949, 3100, 2437, 1352, 15695, 780, 30342, 16944, 2943, 5462, 267, 23183, 12247, 539, 547, 2132, 547, 1210, 519, 4264, 711, 788, 611, 269, 17610, 2614, 267, 676, 11728, 3781, 267, 782, 519, 6967, 3817, 1185, 1044, 4904, 609, 10477, 546, 22751, 267, 2295, 325, 3881, 6965, 267, 543, 16367, 18759, 1107, 6169, 540, 23183, 781, 17105, 7029, 2509, 6940, 780, 1103, 519, 1439, 267, 519, 6292, 4362, 3407, 1272, 4245, 281, 7446, 11009, 666, 1291, 547, 1732, 6208, 267, 543, 3006, 267, 938, 7340, 6888, 5713, 607, 513, 9543, 12576, 547, 3251, 3020, 547, 938, 3741, 269, 4107, 11932, 267, 789, 7691, 602, 4687, 971, 2833, 27838, 4514, 4296, 1063, 1004, 543, 19430, 873, 547, 2015, 519, 678, 21451, 2360, 540, 741, 4948, 3527, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 2108, 2704, 20811, 1031, 23987, 1957, 547, 1118, 711, 788, 6758, 585, 1200, 2828, 269, 2701, 1131, 16784, 476, 276, 4773, 540, 4484, 20695, 1957, 476, 274, 2053, 1287, 2759, 2059, 519, 8728, 547, 1106, 4130, 4063, 4574, 269, 2701, 1131, 1287, 10518, 891, 4130, 4063, 4574, 543, 20013, 873, 1927, 269, 1215, 1279, 1131, 476, 272, 711, 788, 611, 2063, 952, 2576, 5206, 476, 1015, 4967, 829, 1554, 888, 2704, 20811, 26642, 476, 276, 4773, 540, 4484, 20695, 1957, 476, 274, 2053, 267, 865, 1142, 25649, 1957, 5932, 476, 273, 317, 274, 815, 476, 279, 4130, 4063, 4574, 563, 11997, 267, 1142, 711, 788, 611, 3568, 476, 279, 1535, 476, 276, 815, 476, 2412, 4130, 4063, 4574, 563, 2252, 2576, 11339, 476, 1015, 4967, 829, 1554, 267, 1287, 476, 272, 711, 788, 611, 1131, 2063, 476, 2412, 270, 1015, 815, 476, 275, 2395, 563, 2971, 476, 275, 454, 763, 2626, 568, 281, 476, 275, 10640, 763, 1650, 1058, 11200, 998, 519, 3197, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 269, 634, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 2026, 2576, 1007, 547, 713, 4541, 267, 649, 1174, 602, 3388, 1522, 3100, 14542, 267, 865, 649, 3513, 3391, 596, 998, 1169, 1900, 609, 9639, 543, 9355, 780, 1262, 3721, 476, 272, 281, 4197, 1548, 513, 13773, 322, 566, 1772, 4373, 288, 13773, 322, 566, 568, 950, 596, 1491, 942, 1055, 689, 3232, 13467, 547, 6001, 267, 723, 1187, 267, 543, 3605, 2199, 18845, 1369, 6972, 3845, 610, 513, 2110, 5397, 689, 707, 1699, 4087, 630, 6518, 649, 3513, 3277, 547, 607, 707, 834, 24610, 3490, 20257, 898, 781, 899, 2921, 513, 9910, 8686, 659, 566, 267, 855, 3079, 540, 10707, 547, 1776, 2749, 610, 2197, 267, 596, 1445, 593, 3695, 1018, 781, 7404, 2439, 5331, 2348, 513, 1906, 2395, 1863, 689, 9021, 267, 1141, 596, 666, 7938, 785, 267, 2119, 1007, 1919, 267, 543, 1205, 5432, 609, 519, 1858, 1472, 707, 1753, 3490, 269, 2334, 781, 4010, 1018, 513, 13773, 322, 566, 3091, 2439, 1262, 3721, 476, 273, 281, 27759, 2659, 5851, 12476, 4373, 6524, 4358, 707, 7045, 267, 1118, 2386, 707, 2713, 2230, 568, 6899, 543, 18136, 269, 901, 786, 581, 707, 18956, 1310, 513, 1554, 540, 3408, 780, 265, 2878, 27662, 17349, 5093, 6875, 930, 942, 547, 22619, 344, 909, 707, 1753, 3490, 676, 8380, 2476, 1022, 804, 13616, 267, 1818, 707, 5127, 267, 543, 530, 31441, 1524, 7252, 269, 1411, 1616, 547, 1745, 17159, 543, 18589, 1117, 2390, 13059, 563, 265, 2878, 4467, 13025, 1530, 908, 5093, 3550, 596, 723, 513, 18241, 5544, 547, 1694, 267, 1964, 267, 543, 22507, 269, 1403, 2877, 267, 10544, 3063, 10788, 3298, 267, 29198, 267, 610, 4188, 519, 8654, 547, 1711, 513, 25695, 5790, 563, 265, 2878, 27409, 2931, 543, 3220, 3855, 5093, 14351, 909, 593, 707, 5172, 13000, 543, 16098, 547, 1832, 1648, 2157, 1164, 2429, 707, 13773, 322, 566, 269, 1411, 666, 1256, 5965, 2241, 6980, 610, 16152, 6619, 540, 942, 547, 4688, 942, 1282, 707, 9397, 780, 1262, 3721, 476, 274, 281, 12020, 2659, 11242, 4373, 3086, 621, 781, 942, 547, 6430, 875, 596, 9364, 899, 547, 6108, 707, 13773, 322, 566, 256, 6056, 827, 1018, 4690, 596, 1384, 265, 2878, 26222, 5900, 10330, 5093, 3194, 7404, 11614, 267, 15882, 267, 26847, 267, 21056, 267, 610, 3140, 4609, 1210, 3457, 1572, 834, 28669, 619, 257, 610, 834, 10746, 1701, 1452, 9589, 2645, 1921, 547, 1945, 1572, 519, 834, 514, 1181, 564, 2437, 799, 2488, 5318, 5666, 540, 1344, 693, 707, 31840, 2336, 453, 266, 7392, 17161, 1644, 547, 707, 4690, 883, 3406, 9817, 899, 5616, 630, 324, 3052, 1421, 834, 1706, 802, 2282, 803, 257, 610, 834, 332, 13952, 538, 1496, 20365, 2749, 316, 257, 1916, 453, 266, 25873, 7270, 267, 8039, 267, 543, 16863, 547, 1265, 13267, 3681, 563, 265, 2878, 11073, 21830, 8342, 5093, 6333, 2238, 899, 912, 453, 266, 29303, 610, 19482, 454, 453, 266, 20676, 532, 630, 9767, 666, 10519, 21891, 952, 2877, 994, 453, 266, 20266, 333, 10107, 630, 17569, 1426, 543, 10425, 538, 11149, 1500, 540, 2326, 899, 1957, 267, 5068, 267, 610, 5958, 994, 453, 266, 6250, 1746, 4620, 7888, 2127, 547, 2170, 609, 24566, 2828, 454, 265, 2878, 5715, 3233, 5548, 2074, 5093, 10812, 912, 453, 266, 1473, 3233, 10918, 7740, 630, 21406, 544, 8712, 264, 10023, 1585, 8637, 9513, 7802, 267, 17960, 267, 543, 6204, 1597, 15077, 454, 453, 266, 23905, 5356, 2835, 267, 2923, 267, 543, 9602, 5624, 454, 453, 266, 28414, 519, 11596, 6029, 8874, 593, 1804, 13819, 609, 3280, 1949, 454, 453, 266, 8274, 3014, 22538, 525, 610, 9101, 11623, 585, 1514, 1944, 543, 9913, 692, 8620, 513, 1592, 540, 2238, 602, 10161, 596, 267, 26724, 1346, 14191, 547, 707, 1753, 3490, 547, 7413, 2951, 942, 780, 1262, 3721, 476, 275, 281, 3955, 716, 532, 609, 18972, 4373, 7628, 707, 13773, 322, 566, 267, 596, 949, 7237, 3425, 2469, 827, 741, 3232, 2729, 269, 5213, 1405, 5855, 282, 789, 2097, 538, 4708, 256, 3371, 616, 930, 1898, 4388, 585, 15025, 609, 873, 1384, 265, 2878, 294, 22901, 902, 5093, 1879, 16042, 1866, 267, 946, 11913, 26250, 902, 899, 834, 15916, 10590, 610, 834, 17098, 10590, 10483, 676, 513, 7874, 12837, 269, 901, 2982, 2463, 543, 3659, 17349, 563, 265, 2878, 28694, 5678, 5093, 19321, 1930, 14302, 267, 4608, 1484, 532, 7916, 543, 7555, 20005, 547, 6655, 6015, 543, 1935, 1464, 563, 265, 2878, 292, 6614, 13555, 5093, 5269, 5618, 3750, 3346, 1247, 6340, 267, 1287, 1413, 2476, 12212, 547, 2057, 31325, 269, 901, 2337, 1628, 3972, 543, 9727, 1719, 538, 7391, 563, 265, 2878, 21995, 1912, 29320, 5093, 6258, 1455, 2453, 899, 834, 14188, 596, 2437, 834, 2750, 322, 2224, 803, 2437, 543, 834, 28989, 257, 547, 1397, 2184, 8864, 543, 7156, 563, 265, 2878, 8266, 2287, 5093, 9796, 3007, 547, 1018, 1866, 2161, 267, 12162, 3429, 707, 2212, 610, 14775, 609, 5618, 8292, 547, 6542, 1620, 780, 8855, 267, 3425, 1871, 11587, 267, 6568, 267, 543, 16614, 2792, 269, 2142, 3054, 267, 2307, 2055, 267, 543, 1810, 1405, 19292, 547, 3343, 948, 950, 2877, 2439, 1262, 3721, 476, 276, 281, 15775, 15907, 15822, 569, 4373, 2691, 5887, 1005, 856, 267, 4225, 3106, 1384, 265, 2878, 310, 22736, 5093, 25529, 547, 11280, 31355, 10092, 267, 2427, 19789, 802, 267, 543, 3444, 19789, 802, 269, 6733, 1312, 2081, 1354, 15385, 10754, 267, 1739, 6808, 6786, 543, 4191, 563, 265, 2878, 14276, 18815, 5093, 2422, 21772, 267, 14884, 267, 610, 1016, 1811, 13234, 676, 6283, 8128, 269, 7427, 16131, 267, 1129, 720, 267, 543, 5528, 3177, 676, 10256, 610, 6728, 5234, 563, 265, 2878, 305, 728, 27691, 2130, 7896, 5093, 14992, 899, 772, 828, 610, 10370, 1111, 2709, 26055, 3842, 4357, 6472, 9141, 676, 13931, 12427, 269, 8281, 8924, 267, 1305, 4584, 1575, 6753, 267, 543, 1246, 11878, 3877, 5402, 780, 29490, 3251, 10332, 267, 3222, 540, 707, 10450, 267, 543, 3972, 707, 26756, 269, 1403, 4743, 11552, 6470, 267, 2132, 547, 707, 1753, 3490, 610, 3343, 6351, 689, 6392, 5515, 899, 7128, 10492, 780, 1262, 6962, 4373, 23558, 267, 1007, 3659, 256, 2060, 891, 3268, 267, 596, 2811, 4712, 547, 7832, 593, 606, 20605, 13773, 322, 566, 1995, 269, 5457, 547, 10605 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 832, 267, 547, 2973, 909, 519, 30738, 2313, 9874, 667, 2967, 24734, 17437, 5295, 7233, 2094, 4728, 476, 1556, 267, 476, 1001, 272, 563, 274, 269, 634, 5545, 2229, 547, 10536, 5253, 24658, 6076, 1562, 543, 19940, 10610, 24658, 6076, 1562, 585, 2950, 1369, 476, 272, 267, 4335, 267, 1822, 4009, 21240, 540, 30738, 2313, 9874, 667, 2967, 24734, 17437, 5295, 7233, 29688, 898, 1058, 849, 16926, 4830, 4966, 945, 723, 1995, 543, 6325, 1382, 538, 1970, 9570, 5982, 4598, 19210, 525, 267, 971, 607, 3220, 269, 18281, 22084, 2421, 630, 27023, 881, 23122, 267, 3864, 9730, 593, 24658, 24093, 264, 543, 3744, 693, 5617, 2784, 267, 5617, 22654, 267, 547, 6895, 1453, 779, 1072, 563, 13126, 281, 2046, 27833, 2593, 3842, 620, 1182, 331, 831, 454, 268, 5682, 701, 864, 28787, 338, 5545, 570, 15711, 9564, 8750, 1412, 5825, 539, 585, 1733, 2718, 19510, 7055, 1103, 513, 26648, 14336, 566, 267, 3662, 2924, 15628, 5279, 602, 3567, 1031, 7482, 689, 922, 23329, 3146, 11734, 6578, 547, 13564, 1047, 922, 11786, 5993, 627, 2718, 10872, 563, 17471, 2825, 4585, 27594, 267, 5682, 701, 864, 267, 1767, 1472, 2485, 354, 273, 269, 274, 5479, 18121, 1789, 2929, 264, 729, 1031, 547, 2508, 3063, 3354, 3800, 585, 519, 6532, 2197, 781, 627, 2718, 18239, 267, 2687, 547, 513, 18917, 1867, 563, 1103, 2013, 2576, 1869, 14659, 602, 1775, 6415, 608, 4526, 908, 538, 547, 17058, 3105, 8292, 593, 519, 1641, 563, 268, 772, 11520, 12442, 476, 272, 11860, 753, 2967, 11272, 547, 16924, 9505, 631, 8811, 4821, 6046, 1770, 454, 265, 1744, 583, 6658, 568, 3106, 13390, 1081, 1310, 5594, 9402, 3579, 656, 24694, 454, 265, 3143, 4191, 540, 5982, 24694, 454, 265, 631, 8811, 4821, 476, 4335, 24448, 1770, 835, 540, 1152, 8370, 26119, 1869, 4881, 538, 3567, 630, 3849, 1091, 4282, 267, 3877, 994, 307, 10498, 312, 302, 267, 5463, 476, 278, 630, 3725, 26407, 264, 910, 918, 753, 2967, 11272, 5295, 3213, 786, 16924, 26699, 922, 631, 8811, 4821, 3143, 269, 476, 273, 6046, 19720, 607, 513, 3106, 13390, 1081, 1310, 621, 4362, 8966, 2157, 540, 3579, 656, 682, 1136, 689, 513, 11896, 3330, 519, 2270, 618, 6077, 267, 855, 972, 723, 1044, 1100, 5982, 20984, 267, 513, 2754, 22557, 2006, 1767, 593, 13723, 563, 297, 3253, 781, 2034, 28376, 1379, 10626, 1767, 519, 1966, 693, 519, 476, 4335, 19251, 1177, 3430, 19720, 538, 7262, 3567, 1185, 711, 4299, 2604, 3330, 519, 19720, 6077, 610, 519, 5106, 540, 519, 1770, 563, 268, 3567, 10312, 525, 8081, 593, 18831, 23977, 1676, 762, 547, 8693, 7827, 454, 291, 18076, 267, 3162, 4000, 267, 5463, 269, 476, 277, 630, 297, 25702, 4964, 264, 734, 297, 3253, 14129, 519, 991, 547, 1489, 3979, 543, 824, 3384, 2477, 602, 1223, 581, 16094, 4299, 676, 2916, 1689, 693, 606, 2680, 621, 4371, 13638, 593, 519, 521, 573, 3894, 540, 519, 5571, 772, 12991, 269, 2916, 1689, 12909, 1934, 563, 11045, 15659, 2477, 7925, 547, 2916, 1689, 568, 3567, 781, 834, 9008, 10862, 2437, 16549, 1695, 27323, 9710, 773, 267, 922, 5605, 26513, 585, 2518, 2825, 12602, 267, 1767, 538, 513, 4633, 693, 519, 2680, 563, 297, 3253, 1175, 13890, 741, 1870, 1544, 1299, 6990, 585, 562, 8123, 6455, 7903, 563, 268, 570, 7968, 4596, 2904, 590, 749, 26365, 12518, 547, 15147, 715, 4211, 5142, 529, 26959, 454, 27717, 14623, 267, 5463, 269, 476, 278, 630, 297, 25702, 4964, 264, 734, 27717, 14623, 11272, 5295, 3213, 269, 568, 6236, 9513, 1055, 922, 4540, 8143, 1379, 2371, 547, 3382, 3790, 540, 7829, 519, 6433, 693, 922, 30738, 2313, 9874, 3143, 269, 476, 272, 6046, 1379, 2030, 267, 621, 729, 4121, 13723, 563, 5445, 782, 2819, 4421, 519, 2842, 12741, 851, 540, 519, 2754, 269, 594, 3494, 602, 789, 616, 13816, 1359, 3002, 331, 1506, 7221, 547, 16173, 519, 2754, 543, 4734, 519, 27710, 16558, 609, 519, 3803, 3915, 269, 5221, 607, 649, 666, 1294, 1906, 4930, 1524, 267, 519, 1004, 5749, 1405, 3478, 1022, 540, 602, 834, 516, 18586, 257, 544, 821, 903, 563, 268, 670, 758, 330, 4660, 334, 17135, 547, 17776, 9796, 936, 28294, 1637, 540, 17437, 14358, 454, 306, 1952, 19660, 267, 5463, 269, 476, 278, 630, 297, 25702, 4964, 264, 734, 295, 758, 330, 4660, 334, 17135, 4498, 26619, 28635, 1695, 20076, 1767, 13723, 1352, 786, 2132, 851, 540, 1200, 2628, 547, 1491, 5539, 585, 513, 2199, 2229, 4013, 781, 9525, 538, 22392, 1857, 6644, 593, 6046, 1379, 563, 307, 752, 1695, 20076, 267, 17729, 1354, 519, 840, 2739, 1116, 10198, 267, 23294, 1242, 585, 519, 29317, 543, 1767, 1352, 786, 1491, 5539, 607, 17294, 563, 9515, 666, 1491, 5539, 607, 606, 538, 22940, 1862, 1200, 3527, 616, 593, 6292, 609, 6046, 6455, 543, 18735, 540, 6046, 9604, 269, 17776, 2628, 286, 3657, 596, 737, 4575, 888, 305, 17892, 630, 16838, 11894, 267, 585, 5601, 781, 19160, 264, 723, 1004, 538, 21569, 585, 3843, 547, 1159, 10212, 548, 607, 1396, 548, 607, 835, 6121, 540, 726, 583, 28016, 543, 1934, 649, 723, 513, 21173, 4807, 16550, 4108, 9604, 1826, 1843, 593, 519, 2551, 543, 1631, 1352, 1131, 2132, 513, 2628, 13765, 286, 594, 2219, 3567, 729, 606, 4890, 2197, 609, 513, 8647, 2229, 563, 5472, 1775, 1294, 1631, 568, 513, 554, 867, 324, 540, 6046, 13544, 1023, 8023, 689, 519, 1351, 335, 572, 540, 519, 26884, 4182, 563, 268, 29583, 1405, 562, 8123, 6433, 13180, 4808, 22309, 585, 3668, 540, 24117, 454, 291, 1170, 15384, 8351, 568, 678, 1057, 936, 1007, 4808, 6537, 909, 676, 513, 2229, 8470, 547, 3313, 13180, 11033, 585, 9601, 540, 519, 5571, 30738, 2313, 9874, 6046, 9568, 945, 18423, 2322, 610, 17355, 18050, 32380, 563, 15152, 519, 4808, 1305, 5463, 269, 476, 277, 1310, 3275, 540, 18064, 3130, 676, 519, 4065, 267, 9177, 267, 11846, 267, 3163, 543, 5303, 12080, 781, 2598, 335, 1393, 26532, 16624, 9730, 585, 17437, 28100, 3281, 18730, 267, 519, 13180, 2179, 585, 971, 9601, 786, 581, 1454, 2539, 982, 1018, 1004, 945, 17355, 18050, 896, 2229, 1931, 616, 1305, 547, 4309, 269, 634, 4890, 3790, 540, 27549, 543, 824, 9276, 786, 2417, 3467, 711, 581, 4988, 563, 4263, 519, 1439, 17355, 826, 525, 786, 1205, 513, 19420, 517, 585, 513, 1863, 31576, 5622, 1247, 519, 13180, 544, 821, 903, 786, 642, 4314, 883, 6094, 2011, 269, 570, 788, 1723, 1299, 3567, 2229, 616, 18071, 519, 10782, 2186, 540, 9746, 3673, 1143, 2479, 2938, 538, 519, 2413, 1158, 563, 1607, 568, 849, 547, 17058, 2376, 689, 519, 1482, 2707, 912, 268, 808, 4338, 3198, 281, 30738, 2313, 9874, 4600, 711, 1134, 6870, 1586, 338, 6046, 5982, 454, 13126, 281, 3377, 340, 22744, 1001, 271, 3842, 29221, 2784, 454, 17273, 476, 1321, 540, 476, 1626, 454, 7197, 9763, 5412, 454, 268, 3567, 267, 29722, 12788, 7234, 1804, 2179, 540, 796, 27665, 539, 16519, 562, 8123, 2326, 454, 268, 3683, 476, 5379, 273, 18265, 939, 638, 699, 3149, 30738, 2313, 9874, 1193, 2632, 1756, 538, 7414, 7909, 267, 1530, 2378, 797, 1981, 454, 268, 30738, 2313, 9874, 6481, 9697, 770, 23393, 910, 24796, 2836, 323, 545, 2714, 268, 774, 558, 19134, 10458, 910, 21512, 454, 268, 6481, 4750, 9137, 281, 476, 1691, 267, 1822, 772, 2529, 269, 12280, 338, 570, 1221, 547, 30738, 2313, 9874, 1234, 18503, 28155, 12096, 719, 454, 268, 24658, 7313, 2581, 532, 5794, 13871, 24658, 24619, 630, 4820, 476, 272, 540, 476, 273, 994, 268, 30738, 2313, 9874, 32495, 820, 631, 3437, 1530, 2378, 331, 3233, 21009, 513, 25624, 12197, 454, 268, 30738, 2313, 9874, 476, 3393, 9522, 14599, 1216, 13451, 1093, 11143, 5836, 454, 268, 19134, 10458, 281, 30738, 2313, 9874, 1862, 31549, 519, 3624, 15540, 1631, 13166, 13175, 888, 268, 18984, 1516, 3567, 910, 589, 17245, 674, 26097, 2776, 1613, 476, 13200, 509, 7430, 491, 418, 362, 489, 11210, 488, 20721, 354, 10951, 361, 22614, 479, 377, 14395, 367, 476, 12530, 487, 11210, 511, 12530, 354, 12530, 350, 12530, 367, 11210, 379, 12530, 359, 12530, 376, 454, 268, 18281, 22084, 2421, 281, 20676, 641, 1126, 543, 519, 2014, 540, 22787, 31096, 543, 2860, 538, 12925, 454, 268, 570, 7034, 32434, 13585, 30738, 2313, 9874, 14970, 1357, 8254, 454, 268, 1715, 1230, 24287, 4469, 1177, 5772, 1881, 538, 519, 645, 29949, 4460, 476, 272, 454, 268, 570, 7968, 4596, 814, 6976, 476, 26631, 269, 273, 5479, 586, 523, 538, 14796, 585, 6046, 6433, 454, 268, 715, 13612, 10088, 1407, 3689, 1715, 772, 2529, 269, 17437, 1234, 716, 832, 538, 476, 1789, 13012, 2560, 674, 7614, 4469, 9155, 769, 30738, 2313, 9874, 5071, 10691, 674, 12089, 454, 268, 1948, 293, 4157, 2313, 9874, 594, 715, 8123, 7233, 1234, 18503, 476, 273, 681, 11901, 18323, 3816, 1622, 14033, 476, 3583, 26440, 4181, 17622, 6736, 16842, 4826, 769, 20287, 454, 268, 1496, 8512, 476, 272, 268, 272, 316, 715, 8123, 12518, 543, 24658, 1530, 523, 998, 519, 28438, 540, 5753, 630, 13202, 269, 476, 1001, 273, 994, 268, 1280, 634, 3689, 5384, 769, 3683, 476, 1789, 13012, 772, 2529, 269, 1677, 12706, 1715, 17437, 5295, 7233, 454, 268, 634, 2475, 281, 15332, 853, 1575, 7190, 910, 715, 13612, 6182, 1218, 17821, 547, 5565, 1715, 966, 690, 1479, 715, 13048, 6673, 1911, 271, 1234, 716, 832, 2336, 268, 30738, 2313, 9874, 3143, 269, 476, 273, 2030, 729, 1412, 333, 792, 15835, 6658, 7055, 268, 2037, 965, 6178, 2137, 11814, 539, 547, 16418, 17437, 966, 1774, 538, 19519, 281, 6828, 0, 20540, 7267, 8376, 10644, 543, 9615, 454, 291, 1581, 10714, 610, 513, 561, 8985, 538, 3318, 1416, 666, 723, 513, 5458, 1764, 593, 707, 5711, 1072, 269, 1403, 707, 12837, 3884, 1406, 3478, 519, 3007, 602, 621, 2115, 267, 596, 1223, 1020, 513, 2783, 1634, 607, 27731, 2068, 267, 849, 1634, 607, 10733, 2068, 563, 2710, 1411, 5620, 717, 636, 8376, 888, 2026, 15799, 5956, 547, 1628, 267, 2870, 513, 6915, 28291, 593, 707, 4522, 267, 6553, 540, 519, 14779, 786, 1419, 1267, 269, 901, 25017, 543, 16698, 540, 707, 10733, 5160, 568, 3335, 5219, 547, 607, 10733, 2068, 269, 9453, 6304, 267, 3968, 666, 3262, 4514, 267, 5555, 3056, 547, 10733, 1033, 16670, 267, 5642, 2530, 267, 543, 5694, 2530, 563, 2252, 596, 2461, 7680, 1022, 540, 891, 2589, 540, 10733, 2068, 267, 1289, 938, 5604, 585, 606, 6268, 912, 268, 570, 691, 541, 19221, 2059, 707, 10733, 1467, 454, 268, 589, 10770, 3983, 6492, 538, 707, 5023, 454, 268, 14068, 7362, 454, 268, 700, 5366, 4522, 454, 268, 29392, 2530, 454, 268, 12213, 22836, 3384, 1063, 707, 14779, 543, 4522, 267, 3850, 1426, 547, 3640, 1063, 6980, 454, 763, 1101, 1900, 547, 8156, 707, 10733, 2068, 568, 27731, 18440, 543, 3597, 1544, 532, 547, 7184, 2973, 519, 7783, 1858, 269, 3683, 519, 1576, 540, 1079, 11564, 547, 938, 5604, 267, 519, 10733, 22836, 543, 3597, 7252, 616, 8499, 19345, 676, 835, 540, 938, 31978, 1235, 269, 20767, 566, 3681, 616, 2139, 547, 2327, 707, 4313, 543, 22297, 606, 20469, 568, 849, 1031, 267, 865, 596, 4465, 1406, 1745, 513, 3364, 563, 6369, 2793, 303, 21558, 10657, 454, 2691, 10733, 2068, 814, 27636, 883, 513, 811, 3978, 2783, 267, 649, 2709, 15829, 2793, 303, 8955, 27731, 5574, 269, 901, 4781, 3340, 1100, 5969, 267, 1100, 25573, 267, 543, 1100, 1928, 950, 3379, 547, 2757, 1166, 777, 6391, 269, 5502, 267, 938, 8955, 3797, 10322, 559, 3278, 519, 7783, 2127, 543, 8992, 7067, 267, 950, 1031, 538, 4999, 609, 513, 3318, 2620, 7738, 563, 303, 514, 23346, 11270, 7267, 10657, 454, 288, 1455, 28658, 540, 27731, 2068, 568, 10733, 21748, 269, 1306, 14779, 7485, 2476, 267, 519, 3597, 666, 581, 6534, 4929, 5694, 8417, 543, 519, 5920, 540, 968, 14075, 892, 4522, 269, 2060, 519, 18237, 23346, 2126, 267, 596, 666, 2057, 11213, 21910, 338, 607, 707, 10733, 5160, 568, 5402, 1065, 3789, 539, 547, 3382, 519, 6534, 3597, 2627, 563, 6701, 596, 7680, 1022, 540, 519, 2589, 540, 10733, 2068, 286, 11910, 12844, 7534, 15482, 4741, 585, 11636, 27731, 1416, 2336, 2171, 616, 849, 6126, 547, 1683, 606, 26966, 545, 15360, 585, 513, 2269, 7660, 4190, 12837, 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 ]
[ 272, 281, 1789, 282, 476, 273, 29833, 2103, 476, 276, 281, 2641, 1040, 11109, 1044, 1500, 2973, 3571, 1004, 616, 547, 581, 4190, 538, 13924, 609, 519, 5898, 540, 2868, 1465, 630, 11679, 531, 916, 476, 9834, 281, 280, 1916, 8072, 291, 1046, 267, 855, 2097, 569, 10200, 634, 2262, 585, 2048, 323, 1046, 685, 1797, 2048, 18872, 880, 9957, 2701, 729, 9583, 18632, 2960, 2740, 982, 519, 18211, 7095, 20766, 540, 13243, 945, 1185, 10150, 4027, 689, 519, 3141, 689, 4332, 267, 543, 1256, 7654, 849, 593, 7292, 12406, 269, 1809, 1352, 1131, 711, 723, 3838, 519, 3109, 1145, 540, 519, 15337, 1014, 610, 20528, 3150, 269, 2701, 6444, 267, 2705, 267, 602, 519, 14334, 540, 1200, 2960, 1131, 581, 2938, 676, 519, 10347, 20766, 540, 13243, 607, 513, 13337, 269, 3807, 607, 519, 5939, 568, 6926, 332, 1639, 267, 855, 2097, 569, 267, 547, 519, 7083, 267, 4906, 2441, 563, 763, 2048, 323, 18805, 540, 13243, 685, 945, 941, 4440, 8385, 20766, 540, 18211, 7095, 3237, 267, 4440, 2099, 1934, 630, 514, 2070, 540, 519, 1762, 30823, 523, 8204, 5840, 264, 519, 9682, 6082, 1641, 547, 5840, 543, 547, 519, 4622, 269, 1284, 666, 5635, 875, 9682, 14252, 941, 1572, 2048, 323, 18805, 540, 4534, 685, 538, 267, 585, 1383, 267, 26056, 476, 1428, 281, 3393, 282, 26056, 476, 1428, 281, 5325, 563, 2108, 2710, 711, 1413, 2390, 803, 267, 5221, 594, 993, 2220, 14390, 344, 267, 5221, 519, 3141, 814, 1085, 528, 3481, 803, 269, 3733, 3993, 779, 14930, 941, 1651, 10234, 1996, 803, 269, 1358, 1500, 803, 1183, 4177, 540, 519, 11903, 29288, 267, 1809, 1250, 1378, 11903, 12881, 723, 594, 711, 6854, 3034, 4415, 4742, 19969, 519, 1762, 30823, 523, 1631, 8098, 1080, 602, 782, 568, 711, 3833, 607, 1352, 814, 9738, 269, 2755, 621, 568, 3020, 602, 1352, 568, 3109, 267, 855, 2097, 569, 267, 1352, 26342, 602, 1352, 814, 1044, 856, 538, 519, 3141, 1932, 1454, 267, 543, 814, 3976, 1831, 1360, 3141, 14315, 539, 267, 543, 1352, 12134, 602, 789, 786, 711, 1413, 693, 1200, 5898, 1932, 5702, 269, 1280, 519, 8909, 1249, 568, 602, 693, 1459, 1352, 568, 2220, 14390, 344, 1317, 519, 3141, 814, 1085, 528, 3481, 1200, 269, 1656, 1352, 8098, 1080, 602, 621, 814, 7361, 1044, 1200, 1378, 13337, 269, 898, 729, 3020, 602, 1200, 1900, 15842, 750, 338, 1185, 711, 1044, 2186, 547, 1200, 267, 543, 1185, 7142, 1200, 547, 7390, 547, 519, 11903, 10651, 267, 799, 729, 519, 1970, 31586, 540, 4247, 630, 273, 18301, 476, 1839, 281, 1321, 282, 30037, 476, 8618, 281, 276, 1070, 3976, 11744, 875, 14605, 1352, 1185, 1044, 5701, 269, 1717, 267, 1247, 1352, 1185, 6854, 519, 11903, 10651, 1134, 2614, 1352, 7691, 602, 2864, 18174, 880, 569, 1352, 1185, 8959, 547, 1832, 2048, 615, 1378, 11903, 4677, 8730, 602, 568, 547, 4585, 936, 1200, 1378, 2123, 5920, 269, 2701, 1185, 8959, 547, 2149, 1200, 1950, 542, 1996, 519, 3141, 630, 24392, 621, 1185, 5693, 711, 2322, 519, 4622, 1055, 1040, 2701, 1185, 4440, 711, 4397, 519, 4622, 547, 1491, 606, 1719, 538, 1200, 267, 543, 1631, 602, 646, 1185, 267, 1352, 729, 7184, 3222, 540, 1200, 20541, 687, 563, 29994, 1932, 1185, 13974, 8959, 547, 2226, 741, 2123, 5920, 269, 3502, 1152, 1185, 789, 1831, 3141, 14315, 539, 630, 1729, 581, 1159, 527, 1084, 676, 519, 3141, 729, 2938, 607, 513, 10385, 689, 799, 789, 2877, 547, 581, 9447, 910, 25360, 916, 476, 13199, 281, 277, 264, 855, 849, 4988, 538, 535, 6856, 532, 21399, 630, 3674, 320, 11672, 476, 272, 281, 277, 1040, 1358, 1932, 1185, 1577, 2933, 979, 543, 1185, 1577, 2696, 1524, 269, 1358, 1185, 1831, 2261, 1042, 538, 519, 3946, 540, 519, 1494, 614, 630, 297, 699, 31109, 476, 1240, 281, 275, 267, 5635, 22819, 31109, 476, 276, 281, 272, 268, 274, 282, 670, 846, 320, 476, 277, 281, 272, 282, 670, 846, 320, 476, 280, 281, 1626, 1040, 1656, 519, 1267, 1131, 581, 602, 950, 741, 4397, 3751, 1705, 2097, 789, 1131, 711, 581, 4712, 267, 6306, 689, 519, 6074, 1906, 945, 4607, 13924, 609, 10508, 269, 5840, 779, 3401, 1185, 849, 1044, 1500, 519, 1183, 4177, 540, 519, 11903, 12881, 630, 297, 699, 31109, 476, 1321, 281, 1015, 1070, 855, 1185, 8959, 547, 1832, 922, 1378, 11903, 12881, 630, 3674, 320, 11672, 476, 276, 281, 272, 268, 278, 1916, 2005, 568, 1934, 1373, 1500, 2312, 602, 1018, 1185, 5949, 547, 5840, 729, 14356, 519, 13337, 540, 1866, 269, 2701, 1185, 1044, 2192, 1031, 676, 519, 6082, 1472, 1200, 269, 898, 1705, 711, 267, 2705, 267, 2312, 1200, 689, 16620, 267, 585, 1352, 1185, 8854, 2059, 609, 873, 538, 621, 269, 21894, 789, 1185, 2944, 547, 1200, 267, 1352, 1223, 723, 8179, 547, 2226, 1200, 5898, 563, 763, 3020, 5939, 267, 519, 1007, 5840, 267, 849, 814, 547, 16153, 602, 18284, 519, 2627, 540, 1200, 635, 17165, 267, 1200, 1950, 542, 814, 1044, 24401, 2830, 630, 272, 3627, 476, 272, 281, 279, 282, 476, 272, 3627, 476, 272, 281, 1015, 1070, 543, 602, 621, 568, 1200, 1378, 13337, 269, 898, 568, 3976, 942, 602, 1352, 1932, 3459, 547, 7390, 547, 1200, 5920, 543, 3343, 1310, 32660, 543, 19454, 267, 865, 602, 1352, 1522, 581, 24886, 547, 13924, 5808, 814, 6074, 1200, 269, 11048, 1352, 6487, 602, 519, 3751, 14560, 1200, 538, 19220, 540, 519, 1249, 602, 1352, 568, 8806, 513, 11903, 10571, 518, 267, 585, 547, 13924, 1352, 568, 4190, 269, 1261, 814, 6074, 1200, 538, 2648, 1354, 519, 5748, 540, 519, 1158, 630, 22977, 1127, 2103, 476, 272, 281, 275, 1040, 8616, 875, 6297, 649, 945, 1118, 909, 602, 5939, 1058, 581, 547, 2057, 519, 2360, 540, 519, 3141, 540, 5609, 543, 31112, 561, 652, 649, 581, 9575, 676, 922, 12345, 267, 543, 20494, 557, 13924, 676, 1018, 621, 1281, 547, 721, 267, 585, 621, 786, 2261, 3571, 3239, 538, 721, 269, 2334, 568, 1946, 1261, 2712, 2471, 267, 2048, 12024, 607, 1261, 5808, 1572, 596, 568, 13411, 267, 865, 581, 707, 2383, 13411, 538, 782, 6073, 540, 2713, 267, 1256, 607, 621, 568, 2854, 267, 2142, 596, 13411, 267, 585, 594, 993, 13411, 685, 630, 272, 8834, 476, 272, 281, 1428, 268, 1626, 1040, 2048, 6826, 596, 849, 3501, 267, 1256, 607, 707, 12429, 538, 24656, 568, 3501, 685, 630, 31861, 476, 276, 281, 4366, 538, 2474, 540, 15623, 476, 276, 281, 5655, 268, 4366, 1916, 2108, 307, 749, 803, 267, 744, 596, 7247, 1250, 9997, 14560, 267, 7316, 596, 3049, 707, 26600, 267, 7316, 596, 1118, 621, 547, 1964, 693, 29869, 267, 1280, 1946, 1058, 594, 581, 607, 835, 945, 568, 1654, 6150, 267, 29817, 728, 519, 1166, 4169, 540, 707, 15274, 18313, 9515, 7125, 593, 1200, 11537, 267, 519, 835, 7247, 1200, 9997, 14560, 267, 547, 2995, 1200, 1141, 646, 568, 8023, 1010, 1166, 4169, 267, 543, 1141, 646, 3217, 1010, 1100, 10185, 1964, 269, 1280, 1352, 1281, 711, 1616, 547, 581, 29595, 1472, 519, 1114, 1958, 2086, 906, 540, 1010, 8284, 1606, 515, 17731, 1091, 267, 1654, 6150, 1996, 741, 22401, 1247, 3168, 585, 1864, 267, 538, 519, 29285, 1373, 19451, 585, 513, 10690, 4807, 269, 1656, 2523, 711, 950, 1352, 1131, 2864, 581, 609, 1864, 543, 1930, 547, 1010, 22401, 269, 2701, 23311, 15438, 941, 711, 7164, 538, 1346, 2395, 543, 649, 1590, 3314, 602, 15584, 729, 513, 1352, 23311, 19036, 269, 4107, 15438, 1705, 723, 1804, 1166, 4169, 540, 10424, 13265, 543, 1131, 3006, 1100, 8969, 267, 2523, 607, 1762, 2367, 267, 581, 1336, 2713, 538, 512, 757, 543, 2048, 339, 2056, 685, 873, 2059, 609, 741, 2048, 1260, 3966, 687, 8730, 607, 1134, 607, 741, 896, 1606, 515, 17731, 1091, 269, 898, 1131, 581, 513, 1689, 689, 1272, 538, 519, 19289, 267, 543, 1131, 1100, 8969, 1118, 873, 1745, 602, 789, 941, 1373, 3730, 543, 812, 569, 269, 898, 1131, 711, 3100, 8966, 547, 519, 1762, 30823, 523, 1317, 1352, 729, 4440, 540, 5634, 18211, 7095, 6006, 540, 513, 1826, 945, 949, 1134, 723, 22157, 741, 1378, 13265, 563, 29994, 1932, 941, 1373, 1572, 593, 547, 3343, 856, 741, 2696, 543, 711, 581, 3366, 4230, 2001, 676, 824, 1352, 17731, 1091, 630, 297, 699, 31109, 476, 1839, 281, 3607, 282, 22819, 31109, 476, 2004, 281, 277, 282, 26442, 2131, 1408, 476, 4097, 281, 276, 282, 476, 272, 18301, 476, 2420, 281, 1704, 1070, 543, 6743, 4464, 547, 835, 1554, 7487, 1200, 1352, 23311, 4622, 630, 292, 345, 2131, 1408, 476, 4097, 281, 2537, 282, 26442, 2131, 1408, 476, 4391, 281, 2190, 1070, 855, 8909, 569, 950, 1261, 1705, 2097, 1352, 729, 547, 581, 1336, 29595, 1472, 519, 512, 757, 540, 824, 1352, 17731, 1091, 269, 2334, 729, 1946, 1352, 14406, 856, 593, 3571, 2648, 269, 2201, 519, 824, 1688, 972, 941, 267, 540, 1576, 267, 2141, 930, 945, 267, 899, 713, 1762, 30823, 523, 267, 8179, 856, 2048, 295, 574, 1733, 558, 741, 9997, 6068, 685, 630, 272, 18301, 476, 866, 281, 1240, 282, 30037, 476, 279, 281, 1626, 1040, 1656, 538, 519, 1482, 1259, 2221, 519, 2295, 540, 3571, 3020, 1004, 568, 1572, 593, 547, 16111, 3343, 13924, 538, 3571, 2048, 339, 550, 685, 630, 3891, 3691, 9749, 476, 279, 281, 272, 268, 273, 1070, 964, 3931, 547, 1413, 693, 13924, 609, 30792, 3068, 865, 602, 789, 949, 1531, 1245, 3571, 18710, 543, 581, 1500, 899, 13924, 607, 789, 616, 538, 1184, 540, 1373, 4957, 689, 18710, 883, 18710, 630, 273, 29833, 2103, 476, 274, 281, 1240, 282, 476, 273, 29833, 2103, 476, 275, 281, 277, 1916, 2171, 1932, 949, 1616, 547, 917, 1141, 649, 666, 1265, 13924, 269, 1809, 952, 649, 616, 2731, 3571, 649, 1058, 917, 1141, 649, 666, 1265, 13924, 267, 585, 1261, 568, 538, 938, 12271, 630, 22977, 1127, 2103, 476, 274, 281, 1704, 268, 866, 1070, 543, 683, 13145, 982, 3946, 543, 3952, 267, 543, 649, 917, 602, 649, 666, 1935, 13924, 7683, 538, 11755, 538, 519, 6418, 4055, 630, 31861, 476, 277, 281, 277, 1070, 543, 602, 1141, 1079, 610, 1614, 5531, 538, 3571, 8745, 1261, 568, 972, 1851, 721, 630, 31861, 476, 1240, 281, 736, 1040, 1924, 649, 1932, 1058, 581, 964, 3931, 547, 581, 538, 3571, 7961, 25958, 17895, 267, 1565, 540, 13924, 630, 31861, 476, 1556, 281, 2764, 268, 1789, 1070, 543, 711, 581, 16462, 547, 581, 1336, 29595, 1851, 824, 512, 757, 267, 15962, 519, 1158, 543, 519, 1919, 602, 616, 538, 519, 1158, 630, 272, 3627, 476, 273, 281, 1428, 268, 1704, 1040, 634, 2243, 602, 649, 1590, 4061, 2307, 6000, 568, 713, 269, 1684, 649, 723, 519, 1482, 23473, 538, 5275, 13924, 1733, 558, 938, 9997, 14560, 607, 713, 1762, 30823, 523, 1185, 607, 1352, 8179, 585, 1200, 11537, 286, 1656, 1152, 649, 666, 917, 519, 2626, 547, 602, 2243, 563, 15578, 9358, 7582, 654, 6865, 2894, 1631, 1289, 547, 519, 30823, 523, 538, 1200, 4555, 267, 538, 1018, 568, 4440, 4401, 545, 5796, 269, 1358, 616, 4440, 23279, 540, 1200, 269, 634, 6609, 2048, 17304, 790, 560, 1851, 2021, 685, 568, 849, 1336, 538, 14576, 540, 21125, 476, 276, 281, 280, 282, 14576, 540, 21125, 476, 277, 281, 272, 267, 543, 6920, 945, 519, 10529, 616, 269, 1358, 616, 519, 1762, 2021, 540, 519, 2244, 563, 28490, 596, 798, 711, 917, 267, 744, 596, 3655, 790, 560, 1851, 2021, 267, 3619, 707, 1259, 8521, 676, 519, 3723, 25074, 540, 519, 26600, 267, 1656, 3049, 707, 3214, 22290, 519, 1352, 17731, 1091, 685, 512, 757, 3034, 19853, 16253, 568, 4440, 4401, 545, 269, 1358, 616, 6031, 602, 1352, 949, 581, 519, 3655, 790, 560, 1851, 2021, 267, 855, 267, 952, 1352, 568, 865, 14255, 633, 543, 1202, 17567, 602, 1352, 3112, 5612, 2697, 519, 4622, 779, 17895, 267, 5310, 621, 1131, 581, 1732, 952, 1352, 6170, 1200, 942, 1739, 519, 13265, 13475, 543, 8023, 1200, 1762, 3214, 16310, 519, 824, 1352, 23311, 779, 512, 757, 267, 585, 1352, 1281, 711, 17330, 1864, 269, 898, 949, 581, 602, 972, 568, 1934, 513, 20726, 540, 30983, 1934, 267, 543, 849, 513, 19583, 602, 952, 519, 4622, 2731, 1185, 2040, 3000, 539, 1200, 646, 1131, 723, 24458, 602, 1352, 1131, 917, 519, 1259, 269, 634, 4704, 547, 3214, 2864, 982, 2407, 6738, 23161, 949, 5815, 513, 19583, 593, 741, 851, 602, 1352, 568, 711, 2943, 2025, 2614, 585, 1018, 568, 538, 4558, 585, 1200, 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 ]
[ 1002, 318, 2889, 329, 1341, 23686, 5091, 582, 263, 298, 267, 586, 910, 23686, 5091, 582, 18154, 267, 1535, 1002, 318, 2889, 329, 4917, 16875, 943, 520, 815, 943, 520, 318, 2889, 329, 910, 23686, 5091, 582, 263, 298, 267, 23686, 5091, 582, 18154, 267, 943, 520, 318, 2889, 329, 4917, 16875, 608, 815, 23686, 18622, 706, 576, 318, 11743, 6025, 325, 269, 4118, 4732, 13645, 3287, 1002, 910, 630, 339, 325, 5091, 582, 10490, 267, 1535, 1002, 4297, 4297, 476, 1948, 1341, 23686, 5091, 582, 16360, 267, 579, 4917, 16875, 2363, 815, 23686, 18622, 706, 576, 318, 11743, 6025, 325, 269, 4118, 4732, 13645, 12169, 910, 23686, 5091, 582, 18154, 267, 1535, 1002, 21875, 16875, 9049, 292, 815, 608, 1341, 2363, 454, 8587, 609, 11746, 298, 293, 912, 1038, 522, 1002, 815, 23686, 5091, 582, 263, 295, 267, 1535, 1002, 994, 1038, 522, 1002, 338, 6910, 263, 334, 1002, 8542, 17056, 15405, 1038, 9049, 292, 26000, 336, 815, 9049, 292, 26000, 336, 266, 5960, 292, 454, 825, 5552, 815, 11746, 298, 293, 3052, 2784, 1304, 263, 5960, 292, 26000, 336, 267, 1496, 288, 7481, 825, 5688, 6500, 318, 288, 269, 1952, 569, 14682, 2784, 1801, 18750, 760, 14116, 2784, 267, 1496, 288, 28413, 825, 952, 9337, 318, 288, 4939, 476, 1015, 2652, 476, 271, 912, 8587, 1820, 2891, 5960, 292, 24333, 9049, 292, 994, 8587, 12301, 19502, 16597, 18020, 476, 272, 3910, 6003, 6889, 12148, 10025, 5602, 8587, 12301, 19502, 263, 334, 1002, 338, 267, 6003, 6889, 298, 531, 2006, 31207, 5602, 8587, 12301, 269, 5586, 754, 4590, 8587, 12301, 20481, 30800, 18851, 27240, 1304, 1759, 5276, 16762, 8193, 543, 17833, 2006, 19003, 12163, 5814, 11885, 607, 5286, 454, 5814, 21723, 6503, 607, 23686, 454, 5814, 21267, 28272, 607, 12301, 454, 5228, 21723, 6503, 20216, 704, 14939, 8542, 17056, 1104, 12297, 607, 23686, 5091, 582, 692, 4650, 815, 476, 273, 454, 14725, 318, 10861, 290, 815, 8771, 454, 14725, 318, 298, 293, 815, 8771, 454, 14725, 318, 298, 293, 5334, 701, 3663, 815, 8771, 454, 14725, 318, 15425, 5334, 701, 3663, 815, 8771, 454, 14725, 318, 295, 15425, 5334, 701, 3663, 815, 6936, 692, 604, 2196, 318, 10861, 290, 912, 476, 5727, 12430, 16762, 8193, 630, 10861, 290, 264, 609, 27080, 12163, 476, 5688, 6500, 815, 23686, 21993, 10327, 269, 9953, 574, 9088, 269, 3849, 600, 263, 14048, 318, 3433, 284, 271, 269, 4905, 994, 476, 589, 318, 272, 815, 23686, 17679, 926, 762, 263, 30976, 19056, 284, 339, 325, 20179, 26509, 6134, 8443, 4650, 268, 272, 25818, 5721, 762, 18989, 267, 2012, 6889, 288, 318, 272, 5602, 476, 589, 318, 271, 815, 23686, 17679, 926, 762, 263, 30976, 19056, 284, 15631, 272, 269, 3910, 5721, 762, 25716, 267, 2012, 6889, 288, 318, 271, 5602, 476, 3403, 815, 5286, 7456, 1231, 10628, 263, 272, 267, 476, 1911, 267, 476, 1911, 2020, 476, 585, 9337, 538, 2039, 263, 1911, 2187, 8587, 609, 23686, 14371, 2784, 1304, 307, 1901, 9638, 619, 11962, 18989, 264, 607, 11746, 912, 16875, 589, 815, 23686, 26769, 13906, 8443, 288, 318, 271, 267, 589, 318, 272, 3910, 7852, 284, 271, 994, 16875, 661, 815, 23686, 11053, 16428, 26161, 5560, 6943, 284, 339, 325, 269, 15615, 3953, 267, 2450, 284, 6358, 17482, 314, 271, 3910, 2312, 318, 12898, 318, 1348, 25716, 994, 16875, 1931, 815, 589, 17482, 314, 271, 2639, 16875, 585, 562, 538, 2039, 9272, 17482, 314, 271, 316, 2567, 661, 815, 661, 22182, 3799, 267, 476, 271, 8094, 16875, 585, 562, 538, 2039, 263, 4650, 267, 3403, 17482, 314, 271, 3910, 476, 272, 2187, 23526, 585, 1775, 538, 2039, 263, 4650, 2187, 4449, 476, 552, 5332, 815, 661, 18667, 3799, 264, 910, 23686, 269, 4751, 10490, 5157, 30297, 6358, 19559, 25829, 3910, 546, 6943, 284, 339, 325, 269, 15615, 3953, 994, 4449, 476, 661, 815, 661, 22182, 3799, 267, 552, 5332, 994, 16875, 661, 318, 11743, 815, 23686, 18622, 706, 576, 318, 11743, 6025, 325, 269, 4118, 4732, 13645, 27887, 14714, 871, 3890, 4917, 16875, 5552, 815, 11746, 3052, 2784, 1304, 27887, 318, 11743, 267, 1496, 288, 318, 272, 7481, 16875, 5688, 6500, 269, 1952, 569, 14682, 2784, 1801, 18750, 760, 14116, 2784, 267, 1496, 288, 318, 272, 28413, 16875, 952, 9337, 4939, 476, 1015, 2652, 476, 271, 281, 1820, 2891, 13286, 24333, 661, 318, 11743, 8542, 17056, 19572, 834, 21213, 589, 24333, 589, 8542, 17056, 31156, 604, 2196, 318, 298, 293, 912, 476, 5727, 17833, 2006, 19003, 12163, 476, 5688, 6500, 298, 293, 815, 23686, 21993, 10327, 269, 9953, 574, 9088, 269, 3849, 600, 263, 14048, 318, 3433, 284, 271, 269, 9826, 994, 476, 609, 23686, 14371, 2784, 1304, 307, 1901, 9638, 619, 11962, 18989, 264, 607, 11746, 298, 293, 912, 825, 3403, 815, 5286, 7456, 1231, 10628, 263, 272, 267, 476, 1911, 267, 476, 1911, 994, 825, 1535, 323, 574, 815, 476, 272, 454, 825, 585, 9337, 538, 2039, 263, 1015, 2187, 8587, 589, 815, 23686, 17679, 926, 762, 263, 30976, 19056, 284, 339, 325, 20179, 26509, 6134, 8443, 4650, 267, 1931, 8079, 265, 271, 269, 1822, 272, 267, 5721, 762, 18989, 267, 2012, 6889, 288, 5602, 8587, 1535, 815, 23686, 25910, 8443, 4650, 7481, 8587, 595, 815, 23686, 4318, 6614, 263, 4650, 994, 8587, 645, 815, 23686, 269, 2158, 8443, 4650, 7481, 8587, 670, 815, 23686, 17679, 926, 762, 263, 30976, 19056, 284, 339, 325, 26769, 13906, 31912, 272, 269, 3910, 23686, 25910, 263, 4650, 910, 476, 272, 264, 3910, 7852, 284, 271, 1070, 5721, 762, 25716, 994, 8587, 1535, 1002, 815, 23686, 25910, 8443, 4650, 7481, 8587, 943, 520, 815, 23686, 4318, 6614, 263, 4650, 994, 8587, 1627, 815, 23686, 4318, 6614, 263, 4650, 994, 8587, 681, 815, 23686, 4318, 6614, 263, 4650, 994, 8587, 522, 1002, 338, 815, 11713, 8587, 661, 318, 11743, 815, 476, 271, 563, 8587, 585, 562, 538, 2039, 9272, 17482, 314, 271, 316, 268, 272, 2187, 1038, 579, 815, 3403, 19559, 2639, 1038, 586, 815, 3403, 19559, 266, 272, 2639, 1038, 1535, 815, 23686, 5091, 582, 10490, 267, 1535, 264, 1341, 23686, 5091, 582, 16360, 267, 579, 994, 1038, 1535, 1002, 318, 2889, 329, 815, 23686, 5091, 582, 10490, 267, 1535, 1002, 264, 1341, 23686, 5091, 582, 16360, 267, 579, 994, 1038, 943, 520, 318, 2889, 329, 815, 23686, 5091, 582, 10490, 267, 23686, 5091, 582, 263, 874, 520, 267, 23686, 6745, 4920, 2821, 10490, 30727, 1341, 1627, 454, 1038, 918, 815, 23686, 5091, 582, 6025, 325, 5091, 582, 263, 874, 520, 318, 2889, 329, 267, 23686, 6745, 4920, 2821, 18154, 24270, 23686, 7456, 1400, 326, 23357, 341, 6025, 325, 5091, 582, 6025, 325, 5091, 582, 18154, 267, 943, 520, 318, 2889, 329, 1070, 23686, 6745, 4920, 2821, 18154, 4297, 1341, 681, 4917, 1038, 1535, 1002, 815, 1535, 1002, 318, 2889, 329, 1341, 23686, 5091, 582, 263, 298, 267, 586, 910, 23686, 5091, 582, 18154, 267, 1535, 1002, 318, 2889, 329, 4917, 1038, 943, 520, 815, 943, 520, 318, 2889, 329, 910, 23686, 5091, 582, 263, 298, 267, 23686, 5091, 582, 18154, 267, 943, 520, 318, 2889, 329, 4917, 1038, 522, 1002, 815, 23686, 5091, 582, 263, 295, 267, 1535, 1002, 994, 1038, 522, 1002, 338, 6910, 263, 334, 1002, 8542, 17056, 15405, 1038, 661, 318, 11743, 815, 661, 318, 11743, 1341, 23686, 18622, 706, 576, 318, 11743, 6025, 325, 269, 4118, 4732, 13645, 12169, 27984, 1002, 4917, 8587, 5552, 815, 11746, 298, 293, 3052, 2784, 1304, 27887, 318, 11743, 267, 1496, 288, 7481, 8587, 5688, 6500, 298, 293, 269, 1952, 569, 14682, 2784, 1801, 18750, 760, 14116, 2784, 267, 1496, 288, 28413, 8587, 952, 9337, 4939, 476, 272, 2652, 476, 271, 281, 1820, 2891, 13286, 24333, 661, 318, 11743, 8542, 17056, 31156, 476, 12301, 19502, 9272, 267, 6003, 6889, 12148, 10025, 5602, 476, 12301, 19502, 263, 334, 1002, 338, 267, 6003, 6889, 298, 531, 2006, 31207, 5602, 476, 12301, 269, 5586, 754, 4590, 476, 12301, 20481, 10797, 604, 2196, 318, 298, 293, 5334, 701, 3663, 912, 476, 5727, 27240, 1304, 1759, 17833, 2006, 19003, 540, 4633, 8173, 476, 1104, 21723, 6503, 607, 23686, 454, 476, 1104, 15259, 454, 476, 1104, 21267, 28272, 607, 12301, 454, 476, 1104, 2241, 7596, 1470, 607, 1094, 454, 476, 1104, 533, 903, 696, 330, 454, 476, 689, 1085, 27251, 269, 1470, 1104, 530, 822, 12803, 454, 476, 1104, 3280, 12803, 607, 521, 325, 454, 476, 1104, 5391, 4592, 320, 454, 476, 1104, 5391, 4592, 320, 269, 5891, 454, 476, 1104, 11885, 607, 5286, 454, 476, 689, 1085, 27251, 1104, 5365, 607, 521, 326, 454, 476, 1104, 5391, 4592, 320, 454, 476, 1104, 5391, 4592, 320, 269, 5891, 454, 476, 1104, 21267, 28272, 607, 12301, 454, 476, 689, 1085, 27251, 1104, 5365, 454, 476, 1104, 21723, 6503, 607, 23686, 454, 476, 689, 21723, 6503, 1104, 737, 10327, 454, 476, 689, 21723, 6503, 21993, 10327, 1104, 6106, 692, 476, 7406, 28747, 815, 476, 5038, 454, 476, 5577, 28747, 815, 476, 3953, 692, 476, 521, 337, 267, 1535, 815, 530, 822, 12803, 18667, 9638, 903, 696, 330, 269, 583, 559, 269, 9987, 318, 7596, 1470, 18316, 15405, 476, 1535, 815, 1535, 269, 770, 4286, 18828, 269, 15615, 3953, 994, 476, 1535, 1315, 284, 5286, 269, 11274, 3287, 1040, 10946, 4590, 476, 5721, 4671, 13759, 815, 1535, 454, 476, 5721, 17750, 815, 1535, 454, 476, 535, 338, 815, 521, 337, 692, 476, 1948, 674, 271, 16759, 543, 2707, 29835, 5108, 454, 476, 535, 271, 815, 533, 903, 696, 330, 269, 1873, 6559, 3287, 269, 770, 4286, 18828, 269, 15615, 5038, 1070, 535, 338, 284, 338, 337, 267, 554, 3591, 1125, 284, 7749, 28747, 267, 1295, 284, 2568, 267, 3193, 284, 13301, 267, 522, 6943, 6889, 325, 271, 5602, 476, 12334, 815, 533, 903, 696, 330, 269, 1873, 6559, 3287, 269, 770, 4286, 18828, 269, 15615, 5038, 1070, 535, 338, 284, 338, 337, 267, 554, 3591, 1125, 284, 7749, 28747, 267, 1295, 284, 2568, 267, 3193, 284, 13301, 267, 522, 6943, 6889, 335, 3558, 5602, 476, 2707, 318, 1410, 322, 2787, 815, 533, 903, 696, 330, 20216, 322, 924, 9638, 3558, 267, 5577, 28747, 264, 11468, 343, 17482, 314, 271, 27663, 476, 1948, 6885, 539, 11378, 454, 476, 14604, 815, 5391, 4592, 320, 269, 583, 559, 8807, 9347, 4433, 1830, 318, 1410, 322, 2787, 267, 7406, 28747, 284, 18134, 28747, 267, 5577, 28747, 284, 7749, 28747, 1040, 770, 4286, 18828, 269, 15615, 5038, 1040, 307, 454, 476, 14604, 2608, 284, 533, 903, 696, 330, 269, 18872, 2006, 6600, 9347, 28747, 994, 476, 14604, 815, 5286, 26769, 13906, 523, 622, 8443, 325, 29707, 267, 5286, 25910, 318, 3697, 6600, 29707, 11468, 272, 8079, 3910, 7852, 284, 271, 994, 476, 14604, 815, 5286, 269, 10339, 663, 5091, 15501, 6600, 29707, 267, 7852, 15871, 272, 2020, 476, 1948, 6885, 539, 17016, 454, 476, 14604, 26000, 815, 5391, 4592, 320, 269, 583, 559, 8807, 9347, 6025, 1778, 4671, 13759, 267, 7406, 28747, 284, 18134, 28747, 267, 5577, 28747, 284, 7749, 28747, 1040, 770, 4286, 18828, 269, 15615, 5038, 1040, 307, 454, 476, 14604, 26000, 2608, 284, 533, 903, 696, 330, 269, 18872, 2006, 6600, 9347, 28747, 994, 476, 14604, 26000, 815, 5286, 269, 10339, 663, 5091, 15501, 6600, 29707, 26000, 267, 7852, 15871, 272, 2020, 476, 1948, 13096, 553, 564, 689, 14604, 454, 476, 14604, 318, 935, 13906, 815, 5286, 26769, 13906, 523, 622, 8443, 325, 29707, 267, 14604, 26000, 3910, 7852, 15871, 272, 994, 476, 10471, 815, 23686, 21606, 6185, 21648, 564, 269, 5228, 4671, 16428, 5334, 997, 525, 6600, 29707, 318, 935, 13906, 2020, 476, 10471, 815, 10471, 12500, 2255, 263, 272, 1040, 553, 5332, 17056, 318, 3438, 1807, 4590, 476, 16801, 15481, 318, 815, 10471, 12785, 14061, 27729, 314, 271, 2639, 476, 10471, 815, 23686, 21606, 6185, 21648, 564, 269, 5228, 4671, 16428, 5334, 997, 525, 6600, 29707, 318, 935, 13906, 994, 476, 10471, 815, 10471, 12500, 2255, 263, 272, 994, 476, 10471, 815, 10471, 269, 553, 5332, 17056, 318, 3438, 1807, 4590, 476, 1239, 815, 5286, 4732, 638, 2465, 2763, 5560, 21648, 564, 12785, 15405, 476, 1239, 815, 1239, 692, 476, 5688, 6500, 298, 293, 815, 23686, 21993, 10327, 269, 9953, 574, 9088, 269, 3849, 600, 263, 14048, 318, 3433, 284, 271, 269, 4905, 994, 476, 609, 23686, 14371, 2784, 1304, 307, 1901, 9638, 619, 11962, 18989, 264, 607, 11746, 298, 293, 912, 825, 1535, 323, 574, 815, 476, 272, 454, 825, 589, 815, 23686, 17679, 926, 762, 263, 30976, 19056, 284, 339 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 292, 22770, 965, 28823, 5773, 616, 2614, 547, 3489, 7646, 4568, 338, 899, 585, 1383, 581, 619, 267, 6793, 4568, 338, 543, 14326, 899, 22090, 4486, 543, 642, 617, 6390, 1131, 991, 835, 3606, 1184, 3957, 1253, 20746, 267, 543, 4166, 1310, 1253, 20746, 4568, 540, 513, 9157, 2470, 666, 3833, 7654, 581, 2813, 269, 7756, 12204, 540, 1253, 650, 7685, 666, 849, 5352, 6704, 4568, 338, 543, 14326, 971, 607, 6216, 344, 267, 22090, 4486, 267, 543, 642, 617, 6390, 1851, 1866, 543, 2824, 1253, 650, 7685, 849, 3132, 6915, 996, 12935, 547, 10131, 26873, 563, 18850, 20746, 786, 2154, 14495, 519, 1898, 7848, 538, 1931, 547, 11517, 1125, 1114, 2326, 799, 949, 723, 3875, 14495, 2798, 543, 13604, 2569, 891, 22643, 832, 782, 936, 1586, 547, 6460, 873, 1394, 16119, 883, 5277, 1106, 269, 769, 2013, 540, 11517, 1944, 513, 2603, 540, 4568, 338, 267, 519, 4222, 540, 519, 8179, 8584, 1123, 4568, 4679, 23666, 1947, 950, 789, 1847, 555, 745, 519, 1253, 20746, 1184, 269, 16200, 4568, 338, 899, 22090, 4486, 267, 642, 617, 6390, 267, 543, 6216, 344, 267, 1851, 1866, 786, 991, 547, 581, 30341, 538, 513, 1808, 22090, 4486, 1253, 20455, 267, 642, 617, 6390, 1253, 20455, 610, 6216, 344, 1253, 20455, 547, 23366, 581, 609, 27314, 569, 1164, 6169, 2157, 563, 2704, 4022, 1253, 20746, 568, 538, 991, 540, 8022, 1949, 547, 14974, 519, 7848, 602, 814, 5063, 1044, 25496, 269, 901, 18829, 568, 25189, 998, 7598, 1253, 650, 619, 13803, 602, 568, 9090, 1434, 2614, 547, 7639, 538, 6793, 4568, 338, 1247, 849, 7542, 13586, 538, 2362, 5210, 269, 1323, 5140, 7542, 13586, 13803, 602, 779, 811, 7415, 547, 3339, 9493, 6814, 538, 2474, 540, 7829, 1164, 5210, 543, 1164, 4568, 4222, 568, 2881, 2692, 13803, 269, 901, 13803, 568, 693, 519, 1482, 942, 25167, 609, 2890, 5567, 543, 1281, 711, 1331, 1022, 24379, 4551, 610, 3552, 13803, 799, 1522, 1291, 538, 795, 25428, 18829, 610, 24081, 1890, 538, 23931, 18829, 269, 901, 13803, 666, 581, 9715, 676, 1797, 540, 1065, 3176, 2228, 4609, 543, 568, 2139, 538, 1697, 11183, 585, 1253, 650, 7685, 607, 1134, 607, 1753, 1673, 626, 650, 619, 563, 763, 18829, 1184, 11517, 3278, 23931, 20892, 538, 519, 7848, 1101, 5631, 1317, 922, 14495, 1448, 568, 2539, 950, 3379, 609, 602, 540, 1216, 269, 589, 2603, 540, 891, 22643, 832, 616, 1287, 22799, 1524, 543, 27772, 2047, 883, 513, 1114, 1770, 269, 7756, 5686, 540, 2921, 538, 4568, 338, 543, 14326, 616, 14475, 676, 1818, 946, 540, 519, 1253, 20746, 1505, 267, 543, 713, 2186, 540, 1184, 814, 849, 9575, 519, 3007, 540, 519, 18914, 2872, 2094, 6915, 996, 12935, 568, 693, 713, 4090, 3351, 2213, 607, 513, 6915, 4492, 547, 7110, 2834, 4492, 909, 547, 476, 1015, 829, 1298, 1932, 269, 901, 814, 8507, 538, 16611, 7569, 585, 713, 1826, 540, 30341, 4568, 338, 543, 609, 1253, 20746, 4568, 540, 1114, 2010, 666, 1631, 581, 9112, 547, 4196, 3982, 6080, 563, 4263, 519, 1482, 942, 547, 1697, 1253, 20746, 267, 519, 946, 540, 12805, 13803, 693, 519, 1482, 942, 4249, 513, 1898, 3815, 538, 1373, 2386, 602, 519, 3803, 1587, 568, 3812, 609, 519, 5551, 4222, 267, 2681, 267, 23639, 543, 6492, 267, 2523, 538, 2013, 540, 6704, 4568, 269, 634, 18829, 540, 19844, 568, 513, 1279, 543, 6946, 2259, 602, 814, 547, 581, 11943, 609, 25932, 1416, 543, 513, 16994, 3750, 593, 513, 3099, 540, 6724, 799, 1331, 2837, 543, 4222, 547, 2327, 602, 519, 25739, 4568, 666, 581, 7494, 22541, 609, 513, 12805, 1253, 20746, 1505, 269, 16200, 13803, 899, 2881, 2692, 13803, 666, 581, 2386, 2362, 11729, 540, 4568, 338, 543, 14326, 1317, 789, 949, 2965, 1071, 1314, 4617, 7542, 13586, 544, 1662, 547, 1118, 1732, 543, 2362, 9424, 540, 4568, 338, 563, 18850, 20746, 540, 4568, 338, 568, 2629, 547, 1205, 1007, 3029, 540, 4568, 338, 543, 14326, 799, 723, 28659, 4222, 2157, 269, 4634, 865, 267, 1510, 519, 991, 540, 6190, 18829, 602, 3091, 1164, 7779, 4568, 547, 2253, 609, 267, 713, 1253, 20746, 1505, 1131, 711, 5838, 585, 4998, 4568, 338, 609, 8476, 6169, 2157, 269, 2991, 1253, 20746, 4568, 540, 513, 2178, 2470, 666, 581, 3144, 267, 3177, 3318, 543, 1753, 2861, 1253, 650, 619, 1832, 606, 23914, 3750, 593, 519, 18829, 1184, 593, 922, 1378, 269, 0, 2171, 616, 2713, 538, 513, 3059, 2085, 1895, 1141, 4066, 9846, 1020, 543, 3356, 609, 2653, 942, 602, 10596, 543, 538, 799, 8642, 1148, 960, 543, 849, 519, 5907, 11049, 2344, 9922, 723, 1630, 15701, 269, 898, 4667, 602, 1175, 827, 1169, 2185, 4374, 596, 786, 1265, 513, 1007, 2203, 540, 3059, 12514, 1373, 5950, 547, 519, 19458, 267, 1142, 835, 9621, 1256, 8273, 543, 1732, 4162, 2059, 609, 11506, 2706, 1790, 1460, 1564, 269, 1717, 267, 952, 596, 723, 513, 1360, 1271, 3815, 602, 4605, 11655, 666, 1832, 513, 1297, 540, 267, 621, 666, 581, 602, 1100, 2339, 875, 2362, 14482, 1013, 673, 543, 15210, 513, 3059, 8254, 568, 267, 621, 568, 2469, 547, 3622, 723, 922, 19231, 269, 17859, 875, 4101, 649, 2119, 267, 972, 786, 2141, 581, 602, 835, 8666, 602, 267, 952, 596, 1413, 1394, 693, 621, 267, 3085, 1406, 2408, 547, 4625, 2594, 519, 4778, 543, 18707, 707, 4064, 1185, 1044, 4466, 2429, 519, 3059, 8254, 14485, 269, 3371, 568, 1141, 3239, 1427, 537, 4221, 786, 2097, 538, 563, 20124, 1427, 537, 4221, 568, 513, 1505, 540, 8666, 11049, 799, 30211, 6140, 1472, 519, 7816, 543, 19349, 540, 11147, 952, 519, 8666, 568, 2780, 1242, 610, 9102, 856, 269, 634, 5578, 540, 8666, 1427, 537, 4221, 814, 519, 4390, 547, 11168, 3309, 25727, 3330, 606, 3239, 610, 5372, 609, 519, 7182, 540, 519, 1978, 4990, 540, 2007, 545, 600, 269, 4475, 267, 519, 24106, 15287, 267, 3604, 610, 2681, 18565, 1223, 581, 1121, 539, 1221, 610, 5129, 856, 609, 7064, 547, 3239, 1427, 537, 4221, 269, 898, 568, 1271, 547, 581, 3222, 1256, 1498, 602, 8666, 1427, 537, 4221, 786, 711, 581, 3274, 12581, 547, 26598, 269, 6736, 519, 1249, 602, 26598, 568, 10838, 519, 1034, 6093, 1259, 8666, 1427, 537, 4221, 568, 5340, 267, 8666, 1427, 537, 4221, 949, 849, 581, 13401, 609, 930, 824, 3114, 8041, 543, 4890, 2168, 11941, 2966, 547, 5163, 4605, 1175, 1354, 789, 666, 581, 3370, 563, 26452, 31834, 543, 11588, 2404, 609, 16514, 4825, 537, 4221, 912, 268, 5800, 11681, 16071, 269, 31598, 519, 1034, 6093, 5686, 540, 8666, 1427, 537, 4221, 786, 581, 519, 1826, 1031, 950, 2921, 17855, 6337, 269, 2060, 8666, 1427, 537, 4221, 267, 513, 3059, 22459, 786, 1491, 513, 17855, 8666, 543, 1697, 1022, 22405, 543, 2960, 20541, 687, 610, 12150, 2960, 2681, 269, 901, 2186, 540, 8666, 1427, 537, 4221, 568, 9090, 519, 1283, 5728, 547, 16950, 1652, 12449, 602, 649, 1294, 1178, 1424, 519, 9607, 540, 4012, 338, 1554, 538, 543, 1554, 856, 563, 268, 24771, 547, 1715, 269, 769, 6935, 547, 9102, 856, 11147, 267, 596, 786, 1265, 513, 12402, 585, 707, 6337, 547, 1205, 7759, 540, 1164, 2298, 543, 23058, 7190, 936, 942, 269, 634, 6337, 949, 849, 581, 2261, 1042, 676, 7436, 610, 32442, 535, 8172, 1317, 540, 1472, 610, 1447, 982, 4598, 547, 3141, 1769, 269, 17421, 1427, 537, 4221, 2636, 519, 9998, 6337, 538, 519, 1920, 10916, 547, 2132, 547, 741, 3105, 18710, 543, 561, 755, 516, 563, 268, 7822, 590, 680, 1662, 269, 17421, 1427, 537, 4221, 568, 4742, 865, 9120, 602, 621, 1590, 581, 1631, 19579, 693, 1210, 519, 9998, 3043, 543, 3109, 11147, 543, 15175, 873, 883, 26484, 12449, 269, 4014, 621, 2731, 568, 10962, 2681, 547, 707, 3239, 267, 972, 616, 1100, 24279, 2966, 547, 519, 1164, 2298, 543, 2312, 1145, 538, 519, 3355, 3239, 563, 288, 4605, 666, 581, 513, 973, 565, 3005, 799, 814, 1044, 25868, 609, 942, 543, 2966, 547, 3803, 11014, 269, 10251, 602, 7012, 1406, 2141, 3020, 1354, 607, 1454, 6337, 678, 5792, 610, 535, 12184, 543, 1185, 1044, 30758, 547, 581, 19184, 539, 538, 519, 6299, 321, 880, 10822, 269, 1306, 513, 1267, 540, 8523, 1427, 537, 4221, 267, 11147, 666, 1631, 581, 17468, 543, 3803, 952, 789, 941, 5921, 547, 2063, 281, 547, 581, 11843, 547, 7820, 5756, 3330, 519, 1296, 547, 2097, 267, 4179, 2517, 335, 1074, 18029, 2928, 2593, 28918, 0, 2252, 596, 10093, 1406, 1224, 634, 2290, 543, 8307, 25909, 676, 918, 15811, 2561, 5586, 622, 267, 596, 616, 538, 585, 513, 1483, 1521, 269, 634, 1650, 568, 5143, 689, 519, 5133, 540, 25909, 267, 513, 8988, 1394, 27580, 8759, 538, 513, 4760, 6438, 3898, 269, 634, 5467, 16137, 827, 25909, 779, 2250, 998, 8755, 10587, 267, 1010, 9620, 538, 519, 1459, 2713, 538, 519, 1507, 16876, 21799, 693, 519, 1401, 527, 476, 279, 8262, 5440, 26864, 543, 11473, 20211, 1228, 267, 543, 1010, 9909, 585, 519, 2104, 269, 901, 2022, 3568, 1896, 3450, 2093, 547, 946, 609, 519, 1433, 563, 9961, 1010, 1272, 267, 25909, 2729, 538, 2185, 1114, 4025, 269, 901, 19671, 5750, 8638, 1346, 4025, 269, 1280, 713, 5750, 267, 519, 1362, 16540, 539, 3877, 827, 1142, 1747, 25909, 5030, 269, 4841, 5206, 3877, 593, 20202, 4967, 269, 634, 1053, 1287, 5116, 519, 20202, 4967, 593, 519, 19671, 5750, 538, 519, 2953, 6753, 269, 15566, 7335, 454, 7069, 21777, 1433, 1770, 4223, 843, 320, 3568, 513, 3126, 540, 3670, 4245, 593, 1603, 513, 1966, 543, 3070, 1557, 269, 2991, 594, 8737, 519, 1433, 1770, 267, 594, 7691, 602, 594, 10093, 1406, 2938, 1082, 2238, 593, 519, 1357, 585, 3450, 2042, 543, 3435, 267, 865, 594, 2219, 594, 1131, 798, 513, 3787, 540, 1085, 709, 978, 532, 543, 1780, 2059, 1018, 594, 1336, 563, 8002, 8481, 547, 946, 609, 3245, 519, 24908, 5455, 28567, 540, 11427, 269, 29092, 661, 269, 7671, 933, 8814, 454, 12244, 1948, 272, 9625, 27062, 7467, 540, 3203, 454, 763, 27062, 7467, 540, 3203, 814, 13991, 606, 3003, 3390, 540, 741, 20394, 7467, 8866, 547, 2119, 547, 2626, 930, 540, 519, 1082, 2055, 789, 4309, 827, 519, 4276, 1063, 519, 1433, 3245, 519, 24908, 5455, 28567, 540, 11427, 269, 29092, 661, 269, 7671, 933, 8814, 543, 519, 9754, 269, 1411, 666, 4647, 621, 676, 14467, 593, 519, 3382, 2630, 5861, 2632, 514, 826, 7335, 454, 296, 993, 5393, 9599, 547, 723, 631, 5861, 269, 5685, 2714, 328, 267, 2278, 540, 24484, 1962, 16640, 1299, 1488, 4900, 281, 589, 9452, 540, 5565, 21989, 538, 853, 269, 27596, 538, 476, 6942, 276, 267, 16823, 5816, 3101, 2221, 269, 4173, 1433, 568, 513, 4686, 10516, 269, 11334, 786, 2648, 875, 621, 649, 2314, 1483, 1004, 543, 2621, 538, 513, 2295, 342, 9879, 1650, 563, 8967, 15619, 5453, 1564, 568, 513, 1187, 4928, 1565, 2534, 602, 4991, 1053, 856, 540, 741, 16295, 543, 3001, 1472, 1247, 789, 4487, 1983, 563, 763, 2534, 3340, 1053, 547, 5957, 610, 3180, 909, 513, 3556, 609, 513, 2262, 610, 8360, 269, 4595, 594, 946, 519, 20522, 561, 1415, 1841, 585, 23454, 1053, 267, 630, 2791, 666, 1224, 827, 875, 594, 1895, 1053, 883, 18756, 1565, 2516, 1934, 4700, 594, 723, 1053, 1747, 519, 6486, 609, 2453, 3330, 741, 561, 1415, 1841, 593, 1283, 540, 741, 4408, 269, 15566, 7335, 454, 11073, 540, 3733, 9650, 676, 1744, 16336, 19537, 704, 568, 606, 5863, 1650, 827, 606, 22221, 1032, 2025, 8004, 609, 19548, 25097, 344, 269, 1879, 9253, 1328, 568, 3833, 1762, 267, 1352, 4422, 936, 547, 1200, 1985, 7450, 7023, 779, 2777, 267, 11427, 269, 966, 269, 11427, 269, 966, 3085, 1406, 533, 600, 704, 9253, 1328, 607, 1200, 3237, 798, 269, 2701, 11414, 1200, 875, 547, 5066, 936, 543, 1085, 2393, 269, 2701, 30877, 602, 9253, 1328, 568, 5393, 6505, 267, 855, 1200, 2168, 7687, 2061, 1200, 689, 14379, 269, 5221, 540, 713, 11427, 269, 966, 16976, 547, 946, 513, 2792, 4604, 547, 4001, 9253, 1328, 513, 1297, 540, 1913, 269, 2755, 713, 568, 513, 2101, 14634, 267, 519, 2792, 568, 1360, 3908, 563, 31636, 8274, 11314, 454, 4415, 713, 2534, 267, 1053, 666, 1995, 930, 540, 519, 17140, 9253, 1328, 814, 950, 1352, 13290, 547, 1577, 1866, 917, 1018, 1352, 2115, 5861, 2632, 514, 826, 7335, 0, 11754, 2109, 666, 581, 32049, 269, 1403, 596, 610, 2576, 602, 596, 1416, 827, 814, 1044, 10010, 609, 513, 6219, 946, 4524, 267, 1287, 596, 616, 1134, 3222, 540, 519, 14042, 1764, 602, 713, 1202 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12441, 2021, 1205, 8917, 476, 4489, 279, 1557, 454, 3963, 1705, 2021, 1205, 519, 8917, 538, 476, 4489, 279, 2021, 779, 9295, 547, 519, 2112, 621, 568, 3020, 602, 2021, 779, 2112, 960, 729, 1271, 547, 31564, 779, 22638, 11802, 538, 269, 901, 1557, 4927, 3801, 547, 2491, 1946, 930, 2021, 3893, 519, 8917, 538, 476, 4489, 279, 676, 7234, 5256, 543, 4775, 21384, 1946, 1705, 2021, 1205, 519, 8917, 538, 476, 4489, 279, 269, 7033, 5202, 540, 2021, 781, 27049, 538, 519, 8087, 2829, 713, 2376, 949, 530, 344, 4040, 1185, 2907, 11292, 2021, 13359, 543, 27049, 2094, 476, 5908, 280, 268, 3583, 476, 4489, 279, 281, 519, 13524, 269, 898, 666, 849, 581, 11130, 602, 519, 2112, 1705, 2370, 547, 948, 2021, 2744, 519, 8917, 538, 476, 4489, 279, 32685, 272, 1705, 948, 2021, 547, 2744, 519, 8917, 1205, 707, 2688, 1557, 563, 12441, 2021, 1205, 519, 8917, 1813, 547, 741, 3646, 1557, 593, 1705, 2021, 1205, 519, 8917, 1813, 547, 741, 3646, 689, 547, 8917, 1946, 1705, 2021, 973, 10079, 519, 8917, 538, 476, 4489, 279, 269, 6744, 856, 938, 1283, 1863, 3594, 593, 530, 558, 839, 27049, 538, 31564, 676, 476, 4489, 279, 547, 948, 596, 2328, 707, 1378, 1557, 2634, 13519, 558, 6443, 1631, 21189, 3406, 1946, 1705, 2021, 1205, 519, 8917, 538, 476, 4489, 279, 1946, 1705, 269, 4828, 1603, 3391, 1946, 1705, 2021, 2744, 519, 8917, 538, 476, 4489, 279, 538, 476, 4489, 279, 1946, 1705, 2021, 3111, 547, 2744, 519, 8917, 1063, 476, 5002, 271, 268, 4489, 275, 563, 763, 1101, 1158, 2112, 519, 1101, 1158, 2112, 729, 519, 1034, 1271, 2601, 602, 2021, 941, 2111, 547, 1205, 519, 8917, 621, 5795, 873, 2816, 3255, 602, 789, 2760, 26927, 3139, 540, 269, 4208, 1705, 2021, 1205, 519, 8917, 538, 476, 4489, 279, 538, 476, 4489, 279, 267, 1310, 1296, 540, 2182, 960, 267, 2021, 6368, 12236, 519, 1318, 547, 8917, 1498, 713, 1152, 4294, 547, 2021, 936, 476, 1789, 269, 12984, 1158, 2112, 835, 519, 1034, 1271, 2601, 585, 2021, 1373, 2016, 519, 8917, 538, 476, 4489, 279, 5103, 1454, 24526, 5859, 532, 267, 799, 3769, 5051, 10795, 269, 2622, 2112, 835, 543, 2021, 1946, 1705, 2021, 1205, 519, 8917, 1247, 519, 2112, 568, 20295, 676, 930, 607, 1373, 519, 3815, 538, 11319, 14618, 547, 10962, 519, 476, 4489, 279, 269, 1280, 522, 13062, 21099, 3178, 1353, 1957, 476, 273, 5654, 693, 519, 1946, 2021, 1205, 519, 8917, 267, 2882, 981, 1570, 563, 2710, 596, 3858, 602, 2021, 521, 960, 1282, 519, 1101, 1158, 2112, 729, 811, 1271, 538, 11543, 873, 519, 8917, 1287, 741, 3527, 607, 3411, 571, 1326, 5052, 1354, 519, 2112, 269, 634, 1152, 2520, 3073, 1014, 11221, 1705, 2021, 1205, 8917, 476, 4489, 279, 1557, 7022, 540, 519, 8087, 2829, 2021, 781, 27049, 620, 823, 533, 4954, 14447, 548, 1434, 23136, 1289, 476, 280, 6078, 268, 6321, 278, 268, 15876, 276, 547, 24327, 269, 634, 2601, 2021, 2016, 519, 8917, 538, 476, 4489, 279, 2021, 941, 711, 5701, 607, 11224, 609, 2367, 1354, 519, 2034, 3368, 540, 519, 22733, 2540, 789, 1185, 547, 19533, 267, 23491, 741, 8152, 27512, 543, 269, 5131, 1557, 281, 621, 2982, 602, 972, 729, 1454, 1489, 585, 2021, 779, 27049, 855, 607, 638, 603, 267, 5103, 713, 2312, 16315, 540, 1489, 267, 543, 3875, 4620, 1431, 267, 1705, 269, 7046, 3561, 2630, 568, 606, 1557, 593, 1705, 2021, 1205, 519, 8917, 1813, 547, 741, 3646, 689, 4550, 3594, 267, 707, 2707, 585, 1382, 4574, 267, 3594, 267, 543, 2165, 1957, 1806, 563, 268, 1946, 1705, 2021, 1205, 519, 8917, 538, 476, 4489, 279, 2021, 1101, 21936, 539, 14618, 585, 7862, 538, 476, 13932, 280, 268, 855, 941, 5143, 602, 621, 729, 11991, 607, 741, 8152, 27512, 563, 268, 21744, 8456, 538, 21099, 2486, 2509, 2021, 729, 519, 1292, 2601, 1946, 2021, 6913, 519, 8917, 538, 476, 4489, 279, 875, 4977, 568, 713, 2070, 1946, 2021, 6913, 563, 268, 4828, 1603, 3391, 1946, 1705, 2021, 1205, 519, 8917, 538, 476, 4489, 279, 538, 476, 4489, 279, 2021, 6591, 519, 1318, 547, 8917, 585, 519, 1946, 1705, 2021, 3111, 547, 2744, 519, 8917, 1063, 563, 268, 634, 3411, 4048, 1235, 543, 3411, 571, 1326, 5052, 602, 12236, 2021, 519, 8917, 538, 476, 4489, 279, 1557, 593, 2021, 781, 27049, 538, 519, 476, 5197, 271, 1496, 15912, 281, 4574, 2021, 13359, 3411, 571, 1326, 5052, 316, 476, 4375, 276, 279, 1913, 563, 9558, 5296, 540, 1946, 1705, 2021, 1205, 519, 8917, 538, 476, 4489, 279, 1946, 1705, 2021, 1205, 519, 8917, 538, 476, 4489, 279, 2601, 476, 272, 281, 519, 3411, 571, 1326, 5052, 543, 3411, 4048, 1235, 1185, 1044, 2324, 547, 1205, 269, 7591, 539, 1934, 676, 7523, 15046, 582, 621, 4957, 519, 7819, 1379, 2497, 585, 519, 1985, 476, 2004, 1296, 538, 10213, 713, 1705, 2021, 1205, 8917, 476, 4489, 279, 1557, 1650, 2965, 269, 11352, 476, 31982, 277, 2537, 1888, 281, 875, 1705, 1158, 2112, 1775, 948, 666, 6598, 2021, 1205, 519, 8917, 621, 3323, 609, 562, 22088, 26818, 743, 2426, 779, 9525, 609, 2021, 779, 22344, 2191, 766, 9769, 267, 513, 269, 0, 9336, 1788, 1544, 814, 606, 1439, 4266, 15439, 2322, 267, 602, 781, 519, 4266, 950, 649, 1544, 593, 18138, 519, 960, 269, 21298, 267, 594, 4280, 513, 17354, 1018, 1010, 6015, 729, 602, 649, 1131, 9096, 593, 513, 4266, 602, 729, 1079, 3275, 4505, 982, 519, 9096, 4266, 269, 594, 6785, 602, 646, 729, 2324, 2182, 547, 1118, 602, 4755, 269, 1261, 2219, 827, 621, 543, 5795, 803, 606, 2626, 281, 476, 4037, 18336, 763, 1788, 9614, 729, 11821, 269, 2701, 1185, 513, 9096, 4266, 538, 1200, 8430, 602, 729, 513, 7008, 540, 3275, 2663, 982, 519, 4266, 594, 4280, 827, 269, 12984, 519, 17354, 711, 10213, 1200, 1945, 888, 296, 6045, 621, 713, 1259, 912, 268, 634, 1544, 568, 519, 1544, 568, 519, 1544, 269, 2334, 781, 519, 1655, 7058, 693, 960, 267, 546, 15342, 267, 29444, 267, 3092, 269, 23875, 538, 1010, 2626, 2242, 519, 1544, 269, 594, 1175, 1793, 573, 519, 4266, 2451, 543, 4280, 513, 2243, 827, 6015, 563, 268, 2334, 476, 4037, 260, 2626, 1131, 4440, 1689, 1169, 1554, 267, 3001, 2362, 610, 2539, 267, 952, 594, 941, 547, 2307, 519, 2243, 1169, 1554, 269, 1411, 1810, 1405, 1616, 547, 4188, 519, 1544, 1759, 593, 1018, 616, 9247, 7099, 2242, 563, 268, 1403, 594, 13603, 606, 4505, 4266, 267, 519, 6871, 1131, 15983, 979, 1524, 269, 1403, 594, 13603, 513, 2663, 4266, 267, 621, 1131, 979, 909, 269, 898, 3274, 4564, 513, 6015, 1377, 540, 18138, 593, 602, 4266, 563, 268, 1403, 646, 1185, 2016, 803, 513, 1297, 602, 729, 476, 3445, 260, 610, 476, 1911, 260, 543, 1185, 519, 1482, 2626, 1985, 3018, 610, 1985, 3923, 267, 596, 1131, 4440, 1616, 547, 4188, 519, 8430, 547, 2992, 4641, 563, 2080, 781, 606, 4277, 3635, 281, 1169, 3018, 267, 2307, 1614, 2055, 540, 707, 1788, 1291, 912, 268, 30151, 540, 18138, 1079, 3275, 2038, 563, 268, 30151, 540, 18138, 693, 519, 9709, 9096, 563, 268, 30151, 540, 18138, 1079, 3275, 3735, 563, 9199, 1188, 741, 4267, 936, 942, 269, 1411, 666, 1451, 513, 2603, 676, 3257, 713, 267, 543, 3006, 1205, 606, 2038, 9963, 540, 8373, 6619, 269, 1280, 803, 267, 519, 1483, 4324, 540, 713, 568, 547, 1294, 875, 519, 4267, 1689, 936, 942, 269, 1403, 596, 2811, 3478, 9237, 4267, 267, 596, 3513, 1294, 875, 519, 2063, 3018, 2731, 4682, 593, 519, 1788, 269, 0, 14294, 531, 2453, 538, 16643, 2511, 950, 596, 3442, 547, 946, 24185, 267, 1118, 2386, 602, 789, 616, 7471, 12347, 883, 519, 1257, 540, 707, 1957, 3988, 1058, 581, 2111, 547, 1847, 689, 707, 1378, 1913, 547, 519, 1913, 596, 10839, 1510, 4743, 606, 23589, 6521, 269, 1548, 616, 1439, 17084, 543, 3723, 17084, 7110, 606, 16643, 1957, 609, 3063, 1344, 789, 2270, 9450, 1382, 547, 1439, 17084, 585, 12319, 267, 16643, 3340, 269, 7442, 320, 6763, 585, 519, 7819, 5626, 7681, 1034, 4574, 602, 946, 16643, 11249, 543, 11239, 2511, 616, 1346, 2854, 538, 519, 1514, 9443, 281, 6530, 267, 1686, 267, 2797, 2257, 267, 9297, 267, 11585, 267, 543, 15257, 269, 7442, 320, 267, 15986, 267, 993, 320, 11239, 11718, 585, 1863, 713, 1907, 568, 513, 1863, 11239, 11718, 2228, 2139, 585, 3025, 538, 824, 1913, 267, 621, 568, 513, 1062, 610, 3684, 267, 799, 8850, 7140, 782, 707, 1543, 883, 6074, 14327, 5612, 563, 763, 1603, 4099, 533, 530, 4178, 3876, 342, 529, 1027, 340, 6280, 540, 5923, 15898, 2173, 611, 2581, 7819, 5626, 7681, 630, 23981, 264, 12319, 544, 713, 30453, 5956, 609, 2489, 4808, 827, 519, 2694, 540, 513, 1957, 596, 991, 547, 3561, 267, 543, 1287, 6799, 513, 5618, 269, 1215, 547, 3898, 707, 1557, 1210, 16643, 2511, 4808, 519, 3483, 540, 519, 538, 17856, 11239, 538, 938, 3594, 568, 547, 3277, 3988, 547, 519, 1592, 540, 8100, 269, 634, 16643, 12319, 1062, 568, 4122, 1031, 538, 519, 1514, 9443, 543, 2069, 267, 607, 1134, 607, 538, 4610, 971, 607, 8808, 621, 568, 513, 2385, 16375, 12319, 1062, 2959, 616, 11855, 538, 24324, 1369, 707, 1378, 5220, 547, 5815, 596, 723, 1031, 2093, 267, 1344, 267, 543, 24185, 689, 606, 269, 7442, 320, 3898, 281, 476, 1321, 2596, 3652, 513, 3391, 547, 16643, 3898, 543, 2511, 607, 596, 616, 1603, 707, 1957, 267, 621, 568, 1271, 547, 1331, 14327, 538, 707, 1257, 7114, 1141, 596, 563, 288, 11985, 11239, 2511, 4016, 547, 519, 3652, 543, 14908, 3964, 676, 519, 7819, 5626, 7681, 585, 25643, 2959, 1031, 538, 513, 1382, 1957, 16643, 2511, 3340, 1312, 538, 17856, 14327, 543, 513, 4704, 1592, 269, 12834, 281, 16643, 630, 26410, 5626, 7681, 264, 2511, 568, 1034, 4122, 1031, 547, 13712, 2959, 1369, 519, 1514, 9443, 713, 4199, 267, 15428, 2687, 547, 519, 476, 277, 555, 7160, 267, 2034, 8228, 540, 519, 16643, 8261, 267, 3091, 1806, 585, 519, 2489, 3898, 540, 16643, 1382, 4574, 267, 538, 17856, 14327, 267, 1439, 17084, 11721, 2393, 17084, 267, 543, 519, 4704, 2985, 269, 27375, 3684, 12814, 2337, 1053, 543, 4648, 5265, 5491, 519, 1344, 602, 789, 946, 13712, 2959, 538, 16643, 267, 15986, 267, 669, 8522, 267, 512, 12350, 1014, 267, 543, 3771, 10542, 585, 1863, 269, 7442, 320, 2511, 3896, 11239, 11718, 786, 948, 596, 3898, 538, 17856, 14327, 543, 8100, 1210, 513, 2039, 540, 4143, 2959, 585, 707, 1957, 568, 513, 1390, 2856, 1317, 621, 18327, 602, 596, 723, 21503, 707, 1888, 4922, 267, 865, 596, 616, 593, 707, 1259, 547, 23666, 707, 7548, 610, 17404, 269, 1323, 16643, 1382, 1957, 2203, 28114, 1642, 3599, 543, 740, 600, 1151, 6199, 5206, 519, 1739, 1382, 1957, 585, 519, 946, 543, 12319, 540, 741, 3875, 2959, 563, 1607, 3730, 3301, 12958, 8100, 538, 16643, 267, 993, 320, 267, 15986, 267, 669, 8522, 267, 1035, 338, 267, 607, 320, 267, 513, 1186, 320, 267, 543, 824, 12043, 267, 607, 1134, 607, 2337, 596, 1711, 519, 1655, 1957, 1224, 811, 827, 519, 1907, 2630, 669, 8522, 267, 3771, 10542, 11239, 11718, 281, 1118, 707, 4574, 19542, 269, 9669, 585, 1603, 513, 1382, 1957, 538, 16643, 3898, 281, 9238, 281, 14327, 910, 581, 2386, 547, 13712, 707, 2959, 3296, 540, 606, 16643, 1957, 269, 16869, 12649, 875, 547, 13712, 606, 1557, 2185, 2409, 281, 19696, 606, 1557, 538, 15986, 19696, 606, 1557, 538, 16643, 19696, 606, 1557, 538, 669, 8522, 2511, 781, 4063, 1532, 9560, 2762, 1062, 19696, 606, 1557, 538, 669, 8522, 2511, 781, 2278, 15082, 1062, 2146, 7117, 261, 320, 269, 2052, 1405, 1265, 513, 6325, 16643, 11239, 11249, 1383, 1413, 1100, 2417, 267, 519, 1557, 3028, 814, 2813, 519, 10700, 16643, 11239, 3391, 547, 948, 1053, 856, 563, 25456, 1557, 16643, 476, 277, 628, 7160, 5227, 11239, 544, 7251, 10735, 267, 2848, 1597, 513, 267, 3732, 1557, 16643, 476, 277, 628, 7160, 630, 1220, 280, 264, 325, 659, 8372, 12326, 543, 14245, 476, 14056, 269, 634, 16643, 2511, 2636, 585, 538, 17856, 14327, 267, 1463, 24185, 267, 543, 1439, 17084, 543, 3723, 17084, 621, 568, 849, 6087, 519, 2278, 547, 946, 519, 2250, 13029, 540, 13450, 538, 519, 1867, 720, 4441, 540, 519, 16643, 2511, 1331, 269, 7442, 320, 2511, 540, 11249, 568, 1759, 593, 10834, 519, 2278, 781, 2063, 2012, 543, 8313, 4266, 540, 1022, 4199, 596, 13712, 538, 707, 1957, 891, 10832 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 532, 23892, 8823, 547, 7520, 13261, 1344, 4393, 543, 6571, 540, 29886, 11605, 630, 4537, 777, 10098, 267, 476, 1001, 279, 1040, 3958, 267, 9977, 16644, 843, 19983, 10657, 630, 15425, 3951, 264, 3091, 10085, 19631, 7459, 6322, 693, 5355, 2385, 30512, 2792, 267, 2810, 2318, 4205, 267, 543, 13302, 28170, 633, 9979, 7700, 547, 28915, 13015, 630, 18250, 10468, 559, 1299, 670, 10603, 872, 11860, 580, 514, 267, 476, 1001, 271, 6393, 14483, 12367, 543, 8892, 19648, 692, 25748, 267, 972, 814, 1044, 3395, 6284, 540, 519, 2956, 540, 10128, 2686, 16169, 543, 8417, 950, 2324, 609, 3309, 5095, 12936, 676, 6689, 6057, 543, 10714, 269, 31943, 619, 1590, 2015, 2686, 7648, 538, 1920, 6384, 267, 7215, 540, 11605, 267, 543, 6788, 4478, 23930, 543, 948, 5498, 22701, 630, 305, 698, 6409, 534, 1696, 620, 1421, 476, 1001, 280, 1040, 5047, 267, 6932, 4066, 2709, 5499, 3255, 585, 12419, 8194, 25700, 7459, 3842, 7658, 1492, 2805, 5867, 267, 5691, 4641, 3156, 267, 543, 5985, 8924, 267, 7551, 9750, 10333, 547, 1454, 32571, 2533, 630, 29409, 1633, 1696, 620, 1421, 476, 1708, 272, 1040, 1306, 8441, 3136, 538, 519, 2361, 540, 8194, 6530, 267, 2417, 7634, 568, 2838, 547, 30881, 13857, 3344, 540, 6689, 6057, 543, 10714, 543, 11126, 4540, 7459, 780, 27066, 692, 17682, 604, 328, 267, 570, 269, 744, 1421, 645, 2674, 267, 808, 269, 700, 1421, 18307, 8718, 267, 654, 269, 623, 1421, 2037, 985, 267, 631, 269, 654, 1421, 590, 732, 523, 267, 808, 1421, 1299, 5839, 17524, 534, 267, 670, 269, 700, 269, 630, 1001, 272, 1040, 634, 2078, 1063, 1126, 6057, 543, 7766, 2042, 1851, 513, 25422, 11347, 3732, 540, 23671, 269, 8225, 4750, 540, 24741, 267, 476, 6321, 263, 279, 1070, 476, 5325, 280, 1700, 4366, 278, 269, 2999, 10059, 2517, 8742, 3820, 270, 1015, 269, 14056, 278, 260, 273, 293, 271, 3583, 6858, 275, 4391, 272, 10755, 7785, 3199, 274, 285, 692, 21574, 869, 267, 667, 269, 670, 1421, 1299, 667, 3120, 526, 267, 966, 269, 631, 269, 630, 1001, 276, 1040, 2806, 7538, 6530, 281, 1323, 32687, 1935, 630, 278, 628, 1196, 12175, 595, 1263, 720, 4804, 780, 29155, 4802, 518, 267, 700, 1421, 1299, 11875, 328, 2714, 267, 667, 269, 631, 269, 630, 32295, 12175, 630, 1220, 273, 1040, 20351, 6057, 540, 1453, 281, 589, 25156, 585, 9439, 269, 590, 720, 23549, 5549, 780, 289, 8681, 517, 267, 631, 1421, 13391, 13704, 267, 590, 1421, 5617, 323, 3205, 267, 623, 1421, 30038, 26856, 267, 645, 1421, 1299, 25303, 267, 595, 269, 630, 1220, 279, 1040, 1323, 26087, 532, 3978, 2013, 8039, 281, 1548, 666, 649, 1451, 827, 5773, 267, 3157, 543, 4093, 286, 715, 9915, 6717, 780, 290, 7897, 267, 661, 1421, 1299, 11023, 334, 267, 667, 269, 630, 1001, 279, 1040, 1715, 8846, 538, 1126, 10304, 2259, 281, 16237, 28517, 1533, 4204, 1126, 2669, 2689, 1949, 269, 4132, 28054, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 19185, 585, 8194, 5646, 18522, 286, 1411, 4076, 2097, 547, 519, 1318, 1747, 256, 3776, 2319, 540, 4966, 616, 1934, 547, 948, 596, 960, 998, 707, 8194, 543, 1205, 593, 519, 2619, 547, 7067, 269, 1284, 1174, 875, 2352, 621, 666, 581, 547, 4308, 609, 8194, 267, 543, 649, 1616, 547, 1683, 596, 609, 519, 1489, 596, 991, 269, 13555, 721, 2221, 547, 1451, 811, 827, 938, 2533, 543, 547, 8430, 513, 15360, 2336, 1432, 568, 23247, 6076, 18522, 888, 9199, 6373, 5646, 18522, 568, 513, 1826, 540, 3797, 602, 2337, 1004, 4308, 609, 519, 5626, 2360, 540, 8194, 269, 898, 666, 948, 1004, 547, 1184, 741, 8194, 267, 1174, 741, 6547, 267, 543, 1020, 12003, 6127, 269, 23247, 5646, 18522, 666, 581, 606, 2500, 2126, 585, 5403, 15779, 2566, 4524, 17971, 267, 4160, 267, 4965, 267, 543, 824, 2790, 1072, 2175, 563, 1432, 616, 519, 20050, 540, 23247, 888, 29819, 543, 2589, 540, 5403, 10177, 9964, 2566, 1331, 912, 268, 2271, 28424, 267, 1253, 7675, 543, 26688, 8823, 454, 268, 968, 14503, 1662, 10587, 892, 1107, 556, 7721, 704, 1329, 1424, 519, 8194, 267, 607, 952, 621, 568, 8345, 538, 519, 1459, 4090, 454, 268, 13957, 1768, 5558, 610, 3781, 2742, 637, 454, 268, 27275, 546, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 21609, 3125, 18816, 543, 10598, 937, 257, 607, 851, 540, 834, 25787, 1315, 23247, 10017, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 547, 606, 3078, 1158, 540, 1966, 9010, 543, 3375, 1818, 998, 6128, 256, 4653, 267, 649, 2811, 2469, 547, 2263, 513, 4241, 1523, 1572, 6348, 6441, 710, 541, 14691, 630, 301, 10861, 1040, 1411, 1522, 4898, 1018, 5752, 814, 547, 798, 609, 2979, 1107, 1810, 1405, 5855, 282, 621, 781, 711, 827, 8193, 256, 5502, 267, 1589, 540, 621, 899, 6061, 1950, 13410, 1210, 6310, 2553, 780, 5331, 596, 2811, 4058, 513, 4155, 7552, 609, 707, 2828, 269, 1703, 616, 865, 1082, 4025, 596, 1616, 547, 3643, 267, 855, 596, 1152, 723, 513, 1978, 2179, 540, 942, 543, 2724, 269, 1215, 1131, 596, 6430, 799, 4872, 547, 3247, 676, 543, 875, 1279, 547, 3251, 972, 286, 901, 2186, 540, 3510, 3322, 2789, 4632, 543, 10148, 267, 1175, 899, 538, 6348, 6441, 710, 541, 14691, 2439, 4131, 781, 1376, 609, 930, 9238, 1384, 1262, 1432, 568, 513, 4756, 286, 1262, 898, 781, 899, 606, 7164, 7274, 602, 666, 1689, 4470, 593, 824, 2188, 910, 585, 1383, 267, 519, 1297, 540, 2395, 6170, 593, 707, 4155, 7552, 610, 519, 6578, 21248, 585, 3154, 10473, 780, 1262, 1432, 616, 10148, 286, 1262, 1358, 2811, 3652, 602, 3970, 938, 5079, 910, 585, 3236, 267, 2348, 513, 6378, 2698, 6578, 610, 513, 5021, 1297, 540, 6117, 3108, 829, 1554, 780, 3086, 267, 1577, 781, 4685, 4514, 883, 6348, 6441, 710, 541, 14691, 1384, 1103, 5276, 5752, 267, 782, 3347, 1063, 4632, 616, 2786, 3515, 269, 1717, 267, 538, 1875, 31059, 5752, 267, 1346, 4296, 1831, 1225, 11803, 610, 2695, 580, 16744, 267, 3850, 721, 547, 2203, 811, 6946, 2042, 269, 1452, 2042, 1419, 4125, 21924, 610, 10893, 1945, 1247, 17598, 1585, 2175, 780, 2690, 1383, 267, 15475, 596, 1616, 547, 1265, 519, 1655, 8905, 585, 707, 4155, 7552, 547, 7413, 2951, 3845, 1247, 1869, 9683, 782, 5551, 4872, 1369, 707, 6578, 269, 4635, 1875, 31059, 5752, 2553, 267, 596, 1223, 1711, 4834, 8204, 9883, 1063, 4872, 267, 1942, 540, 4492, 4616, 267, 543, 1256, 1187, 2238, 693, 1142, 4087, 269, 3973, 267, 596, 9364, 4194, 713, 11015, 28879, 2439, 2080, 781, 513, 2241, 1383, 540, 513, 1875, 31059, 3830, 281, 586, 815, 1535, 317, 273, 269, 1403, 649, 2161, 1535, 4564, 519, 1297, 540, 5195, 9141, 538, 513, 1554, 267, 1287, 586, 3587, 519, 4009, 540, 602, 1871, 267, 4758, 721, 519, 1942, 540, 4492, 4616, 1759, 593, 13304, 720, 269, 1306, 596, 666, 1294, 267, 713, 2078, 3884, 1405, 513, 2786, 1899, 15042, 282, 3079, 267, 621, 3029, 513, 29236, 780, 4407, 1875, 31059, 5752, 4992, 7294, 267, 3314, 602, 621, 781, 3274, 1776, 1907, 547, 10994, 4101, 3664, 538, 1272, 269, 1924, 1985, 942, 596, 1544, 513, 1920, 16314, 610, 10891, 513, 1895, 1788, 267, 2015, 7311, 891, 3741, 269, 5808, 6487, 286, 9320, 596, 3513, 3605, 519, 7772, 540, 17306, 707, 4566, 1210, 6348, 6441, 710, 541, 14691, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 4134, 4184, 1149, 949, 948, 15538, 538, 2296, 267, 3943, 267, 1007, 267, 1482, 267, 610, 5053, 269, 15067, 1090, 619, 7153, 538, 31607, 15421, 949, 4952, 5532, 585, 15340, 1310, 2749, 609, 519, 20339, 269, 634, 3108, 1360, 2253, 12470, 564, 540, 1957, 543, 5178, 5202, 1296, 269, 14676, 5182, 1042, 538, 8028, 10933, 1590, 946, 519, 5207, 2640, 540, 10319, 6109, 2272, 267, 2866, 538, 31338, 602, 1412, 5207, 14258, 1412, 949, 5225, 1483, 2686, 2984, 547, 8028, 10933, 11271, 3168, 2390, 519, 5690, 267, 3461, 267, 568, 267, 543, 5359, 540, 1142, 3461, 14428, 903, 6509, 2872, 269, 634, 32000, 11814, 633, 20964, 1360, 9863, 22283, 513, 8792, 540, 4485, 547, 6095, 1676, 23564, 538, 1416, 6049, 5748, 11147, 269, 3962, 27356, 8124, 585, 1062, 538, 891, 2035, 10039, 24298, 6045, 593, 1007, 5561, 269, 4647, 28044, 338, 547, 979, 476, 1001, 276, 568, 15043, 883, 513, 4295, 27914, 540, 1489, 476, 2412, 4458, 6040, 609, 3908, 12318, 17156, 543, 1989, 574, 18125, 602, 1412, 332, 2250, 2550, 543, 22502, 13712, 3562, 1673, 16211, 602, 2995, 1317, 5259, 267, 6862, 2661, 269, 634, 715, 5085, 3041, 16369, 596, 616, 6947, 585, 1223, 723, 2404, 1163, 516, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 15239, 6441, 710, 541, 14691, 630, 301, 10861, 17983, 607, 851, 540, 834, 21316, 30388, 1315, 12430, 1299, 6348, 15035, 14691, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 7705, 281, 19850, 7585, 256, 594, 4862, 596, 2811, 4058, 513, 7552, 547, 12182, 25951, 2817, 5244, 585, 938, 16314, 269, 2334, 4992, 3078, 256, 5620, 596, 2479, 1044, 972, 1354, 2496, 7692, 281, 19743, 7705, 256, 8786, 267, 621, 786, 581, 1250, 1101, 942, 9683, 12182, 25951, 2817, 5244, 269, 594, 4312, 2141, 4941, 547, 2263, 3084, 11614, 1317, 789, 723, 865, 1454, 2470, 543, 5898, 269, 9578, 267, 594, 2648, 1565, 1007, 1919, 256, 1215, 827, 596, 2496, 8334, 281, 594, 4682, 972, 609, 1250, 1920, 950, 594, 729, 7820, 269, 898, 729, 971, 513, 1187, 1995, 256, 1284, 18423, 538, 513, 18241, 19970, 2282, 519, 6288, 267, 554, 27419, 998, 519, 4104, 267, 543, 1256, 6836, 856, 930, 3905, 20950, 269, 1358, 941, 3636, 543, 21363, 267, 1175, 899, 2921, 513, 8602, 1310, 513, 1279, 1554, 780, 7692, 281, 26272, 267, 602, 1281, 3280, 5863, 256, 1809, 1018, 616, 3905, 20950, 4010, 286, 1656, 1946, 798, 789, 1106, 538, 1978, 4025, 2496, 8334, 281, 4279, 2243, 267, 7585, 256, 12182, 20950, 616, 4646, 950, 15780, 4991, 12699, 676, 24232, 1648, 2620, 1369, 3047, 781, 12933, 269, 901, 3905, 1216, 14380, 909, 998, 18655, 538, 519, 7725, 2394, 621, 10301, 519, 2627, 267, 1141, 649, 666, 2972, 922, 14246, 269, 4595, 23916, 814, 15027, 2534, 9944, 922, 2627, 267, 621, 2306, 12182, 25951, 2817, 5244, 519, 3501, 1747, 585, 891, 3905, 20950, 547, 2408, 780, 7692, 281, 7937, 267, 594, 1294, 256, 1924, 952, 649, 3643, 713, 3084, 6288, 267, 649, 1522, 849, 1451, 827, 22747, 1932, 2496, 8334, 281, 22549, 256, 1411, 2760, 917, 1018, 4277, 5013, 596, 3513, 3605, 1247, 3695, 2470, 269, 3767, 1577, 803, 2285, 596, 1776, 9133, 1107, 2094, 1082, 824, 14666, 786, 2693, 1616, 547, 6001, 538, 1346, 4583, 3905, 20950, 267, 1118, 2386, 547, 1544, 707, 2238, 6619, 540, 942, 269, 2334, 1259, 267, 649, 666, 5150, 938, 5544, 2038, 543, 2057, 7996, 538, 1279, 3515, 780, 7692, 281, 8729, 585, 519, 5796, 267, 7705, 256, 1548, 3116, 1058, 649, 1832, 538, 2247, 1282, 938, 7552, 2496, 8334, 281, 4270, 267, 3314, 602, 3084, 11614, 1419, 723, 3652, 547, 2149, 1312, 8436, 543, 7320, 269, 1280, 1383, 267, 649, 1590, 3251, 593, 11280, 18162, 1247, 19482, 547, 2061, 3478, 4503, 610, 31362, 2371, 543, 2831, 269, 4746, 267, 2141, 2973, 909, 1310, 6000, 547, 948, 2226, 519, 6288, 781, 5898, 585, 2104, 5481, 780, 7692, 281, 2986, 1576, 256, 9861 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6647, 25816, 326, 690, 928, 8843, 922, 2070, 593, 519, 16510, 540, 10871, 6052, 4578, 454, 11592, 540, 2070, 540, 513, 11347, 540, 8210, 5263, 10910, 20110, 928, 25575, 6647, 26990, 1495, 344, 1369, 744, 3918, 294, 2464, 10910, 20110, 928, 25575, 6647, 267, 519, 13636, 25076, 540, 6052, 543, 5682, 5264, 717, 1162, 1280, 519, 2063, 476, 276, 1296, 267, 18317, 5263, 814, 1044, 513, 7649, 540, 519, 744, 3918, 294, 2464, 1107, 13636, 6052, 543, 5682, 5264, 13937, 25076, 540, 10910, 20110, 928, 25575, 6647, 1107, 547, 5385, 267, 2445, 267, 3132, 543, 22412, 622, 1344, 593, 519, 1114, 20965, 2894, 2207, 294, 2465, 13772, 5018, 538, 29206, 3918, 294, 10001, 13317, 5314, 7797, 593, 8693, 7827, 2336, 7021, 519, 2063, 5722, 1296, 630, 1220, 278, 268, 1001, 275, 1070, 609, 519, 3804, 540, 5355, 6237, 4507, 267, 811, 982, 476, 1220, 271, 1857, 5238, 2066, 2342, 723, 1044, 1565, 689, 1142, 824, 998, 18756, 3609, 1565, 538, 476, 14225, 954, 2958, 1308, 3785, 6462, 676, 519, 29206, 3918, 294, 10001, 290, 16857, 9316, 10872, 269, 8889, 15670, 543, 9439, 5461, 547, 3710, 593, 519, 2833, 540, 741, 13413, 20965, 28158, 12057, 6571, 593, 30505, 476, 736, 7799, 320, 454, 7968, 4964, 24793, 476, 4962, 268, 1556, 268, 1001, 275, 21768, 9730, 2433, 5113, 267, 5398, 2657, 543, 5253, 8881, 13669, 802, 547, 581, 4371, 538, 7799, 320, 1985, 3923, 1058, 5512, 2518, 4891, 547, 3914, 606, 16529, 2916, 6876, 538, 8303, 538, 476, 1001, 276, 267, 865, 607, 547, 1832, 519, 1158, 593, 3950, 585, 513, 1016, 268, 273, 9180, 2916, 8337, 9183, 267, 12057, 1767, 538, 513, 6571, 20366, 593, 20965, 25332, 969, 2218, 1107, 14502, 25679, 540, 10255, 6052, 25076, 454, 300, 10129, 8017, 723, 3908, 610, 1100, 1569, 547, 1648, 4616, 1239, 540, 1857, 5656, 267, 1857, 8654, 267, 3560, 267, 519, 10821, 543, 24596, 5823, 267, 607, 1134, 607, 1648, 3812, 689, 7791, 1648, 2959, 269, 4578, 689, 891, 9922, 616, 1898, 267, 2523, 538, 1648, 4058, 269, 0, 9336, 10805, 6389, 2012, 814, 513, 5934, 540, 476, 273, 8745, 18218, 5638, 602, 1397, 1141, 621, 568, 18799, 1775, 4318, 269, 676, 1210, 891, 5638, 596, 1463, 707, 6389, 2232, 547, 519, 13763, 540, 513, 1808, 16475, 2754, 269, 901, 1259, 267, 596, 723, 1312, 707, 3135, 543, 707, 552, 2173, 5661, 17411, 676, 519, 3169, 1482, 2754, 269, 2201, 519, 2539, 1377, 540, 519, 23792, 8745, 3590, 630, 291, 10064, 1070, 2705, 267, 972, 616, 6266, 540, 824, 5638, 267, 585, 3236, 589, 543, 631, 311, 269, 634, 1101, 835, 8761, 799, 7746, 9388, 609, 519, 3135, 585, 513, 2016, 6389, 543, 568, 2141, 606, 7379, 2232, 630, 13136, 269, 14096, 269, 14138, 269, 1556, 1070, 1247, 519, 8545, 2982, 799, 7746, 20362, 519, 552, 2173, 5661, 543, 568, 2141, 606, 21229, 534, 10179, 545, 5569, 630, 332, 343, 272, 269, 3256, 664, 2593, 1040, 1280, 3236, 267, 950, 596, 1826, 513, 6389, 2232, 538, 707, 1357, 11422, 267, 707, 7662, 568, 2366, 998, 519, 2518, 22665, 1062, 547, 519, 2754, 4171, 22085, 5638, 519, 6389, 3096, 543, 689, 972, 596, 786, 581, 2366, 547, 519, 13763, 540, 513, 1114, 8502, 3177, 596, 723, 1305, 606, 7379, 2232, 540, 519, 8545, 607, 606, 589, 2594, 585, 707, 6389, 2232, 269, 11109, 5094, 5638, 585, 519, 3896, 543, 519, 552, 2173, 5661, 5267, 602, 596, 1223, 723, 707, 3135, 543, 707, 552, 2173, 5661, 609, 1079, 1114, 3549, 952, 596, 9364, 899, 269, 0, 289, 2117, 1712, 540, 5020, 9625, 12713, 3080, 9625, 26085, 11595, 7732, 9625, 595, 3951, 2464, 9625, 26658, 5839, 4954, 599, 7732, 9625, 15610, 540, 5020, 630, 292, 5357, 264, 9625, 30673, 6732, 4260, 11594, 9625, 12551, 26015, 9625, 8419, 7467, 540, 7849, 3778, 594, 577, 20321, 1108, 4972, 9625, 26838, 9281, 9625, 5616, 10104, 9625, 594, 2316, 306, 9625, 594, 30002, 4414, 8266, 630, 1320, 805, 2989, 21073, 264, 9625, 13149, 15661, 22384, 5800, 531, 9625, 12135, 10292, 630, 23809, 267, 2637, 289, 1678, 267, 3092, 4700, 9625, 7909, 12713, 613, 4919, 6176, 3590, 9625, 12813, 5308, 9625, 590, 7644, 3041, 9625, 10326, 540, 5020, 5680, 5741, 9625, 6167, 7968, 8862, 290, 10157, 15661, 18482, 9625, 654, 334, 305, 5960, 454, 290, 12505, 27627, 798, 711, 723, 7729, 30416, 543, 2043, 616, 18784, 269, 7261, 534, 27627, 666, 5000, 519, 13247, 610, 13250, 540, 7513, 19941, 547, 3132, 3982, 11159, 4703, 538, 5888, 602, 723, 8323, 593, 519, 13837, 331, 3233, 269, 7261, 534, 14385, 658, 544, 2432, 941, 1034, 10731, 1354, 519, 4720, 540, 6692, 569, 12550, 2675, 8084, 7103, 267, 855, 789, 1869, 2291, 2221, 630, 560, 668, 520, 565, 2572, 616, 15451, 544, 2432, 609, 513, 22495, 730, 4835, 2497, 1040, 21563, 9926, 334, 753, 543, 1835, 27546, 267, 1455, 20334, 547, 7286, 21439, 1282, 519, 7323, 13490, 1014, 630, 1721, 1383, 1070, 3812, 513, 1360, 1114, 2186, 540, 544, 895, 269, 21563, 9926, 334, 753, 616, 1507, 543, 519, 7729, 30416, 540, 1835, 27546, 30477, 3433, 269, 1717, 267, 536, 787, 9926, 15351, 543, 1835, 32009, 803, 27595, 666, 6414, 936, 942, 543, 3132, 5888, 958, 3982, 4703, 540, 11159, 609, 18254, 531, 8323, 563, 7628, 20282, 267, 519, 5256, 15454, 11818, 16356, 786, 11116, 693, 519, 4775, 781, 1560, 610, 27634, 547, 3180, 5196, 1200, 585, 2941, 1637, 269, 6145, 824, 1270, 22044, 16142, 267, 621, 568, 642, 643, 760, 541, 748, 281, 2899, 519, 3384, 24201, 9688, 741, 3761, 540, 586, 13083, 267, 519, 586, 13083, 5485, 10953, 883, 513, 726, 659, 1581, 4276, 602, 2771, 1622, 873, 547, 2165, 269, 3962, 4775, 814, 513, 2582, 6198, 9065, 776, 630, 517, 519, 1318, 2427, 264, 543, 1079, 6198, 14685, 4926, 269, 2290, 547, 2185, 4996, 1186, 630, 338, 1460, 538, 16127, 264, 616, 4535, 1169, 824, 1032, 282, 519, 1297, 540, 1762, 4679, 609, 4775, 2450, 269, 6480, 23660, 540, 519, 32460, 1974, 2039, 689, 476, 280, 547, 476, 1691, 3275, 269, 3487, 584, 819, 568, 2219, 547, 1491, 1747, 689, 5147, 547, 4864, 538, 519, 8828, 25955, 543, 689, 4728, 547, 5147, 538, 519, 8832, 25955, 269, 1717, 267, 8951, 609, 834, 21459, 3856, 24201, 257, 723, 849, 1044, 4080, 538, 519, 2887, 1055, 661, 2908, 564, 752, 269, 634, 29507, 2268, 476, 3393, 1700, 2568, 4699, 630, 1240, 1700, 2190, 538, 264, 1279, 269, 20351, 30553, 4386, 693, 1472, 5722, 1296, 540, 2085, 267, 950, 519, 9038, 616, 476, 272, 269, 274, 1700, 272, 269, 276, 544, 630, 275, 269, 274, 1700, 275, 269, 280, 10264, 264, 1279, 543, 8951, 616, 476, 272, 269, 273, 1700, 272, 269, 275, 544, 630, 274, 269, 280, 1700, 275, 269, 277, 10264, 264, 1279, 269, 12339, 2297, 593, 519, 4279, 4446, 8175, 24035, 9921, 693, 476, 1556, 1296, 540, 2085, 267, 2663, 982, 693, 824, 6753, 267, 543, 693, 513, 5594, 3677, 2450, 269, 634, 14438, 568, 693, 2547, 476, 1839, 1296, 563, 2467, 568, 2370, 2963, 540, 16857, 640, 538, 519, 15454, 11818, 16356, 282, 2043, 786, 20496, 1866, 540, 741, 2249, 10024, 543, 8023, 1369, 741, 1753, 9832, 269, 5510, 16127, 267, 2043, 949, 3251, 1472, 519, 1482, 851, 540, 519, 11818, 585, 909, 547, 1614, 1296, 267, 1247, 693, 681, 836, 10098, 320, 267, 789, 5781, 6521, 741, 6753, 676, 909, 547, 476, 1428, 5998, 630, 280, 269, 274, 11465, 1040, 10572, 15454, 11818, 16142, 693, 661, 2908, 564, 752, 1831, 3810, 10728, 693, 1808, 6753, 267, 11021, 789, 949, 8858, 8789, 2623, 936, 824, 16142, 538, 741, 1753, 2127, 563, 294, 9445, 11818, 16142, 616, 3728, 1606, 342, 21148, 267, 26227, 11975, 602, 3049, 5097, 593, 1863, 1606, 342, 21148, 536, 3415, 24991, 543, 524, 31525, 641, 16104, 269, 4256, 10728, 1629, 6756, 528, 6087, 873, 547, 20441, 1082, 824, 16356, 2249, 593, 519, 11818, 267, 5103, 741, 9793, 2450, 269, 3509, 15454, 11818, 16142, 723, 513, 1753, 2039, 593, 513, 1808, 1858, 540, 519, 11818, 267, 547, 799, 789, 16111, 2132, 269, 1717, 267, 789, 616, 1514, 2864, 982, 16857, 269, 4438, 519, 1554, 267, 891, 16142, 1419, 1106, 2516, 540, 2947, 547, 476, 736, 2043, 2282, 14147, 11818, 6749, 32187, 267, 24590, 909, 538, 519, 10543, 607, 519, 16142, 2253, 547, 6968, 269, 16989, 8951, 849, 1106, 2516, 538, 1360, 13719, 1216, 267, 1141, 519, 2362, 1216, 2837, 949, 17108, 741, 2208, 610, 602, 540, 741, 796, 9799, 1762, 269, 6145, 824, 2818, 540, 922, 1920, 267, 519, 15454, 11818, 16356, 568, 642, 643, 760, 541, 748, 267, 2495, 519, 3993, 16138, 8460, 1200, 24201, 998, 513, 726, 659, 1581, 4276, 269, 22175, 1562, 540, 835, 547, 3670, 4996, 1186, 616, 4535, 1169, 824, 1032, 563, 5445, 616, 849, 1336, 538, 22600, 17311, 2127, 267, 3001, 538, 543, 856, 609, 519, 20352, 543, 1256, 538, 4195, 1216, 2282, 519, 4262, 269, 1358, 2049, 2206, 569, 610, 538, 1507, 2516, 269, 20661, 1419, 14919, 538, 11818, 9055, 693, 1970, 20352, 269, 901, 568, 835, 540, 519, 1614, 1034, 1455, 11818, 16142, 538, 519, 21475, 6261, 6680, 267, 519, 1079, 1866, 616, 519, 15454, 11818, 16356, 267, 595, 1105, 541, 327, 19434, 5605, 569, 337, 1506, 333, 577, 657, 543, 17642, 564, 760, 11818, 16356, 267, 570, 6319, 523, 31788, 1073, 4615, 563, 763, 15454, 11818, 16356, 630, 290, 1105, 541, 327, 19434, 5605, 569, 337, 1506, 333, 577, 657, 267, 3006, 4413, 335, 8215, 5605, 569, 337, 1506, 333, 577, 639, 610, 5605, 569, 9071, 514, 577, 657, 264, 568, 513, 2249, 540, 1270, 22044, 16356, 267, 538, 519, 1920, 595, 1105, 541, 327, 514, 13160, 269, 2290, 540, 519, 1034, 1455, 11818, 16142, 538, 519, 21475, 6261, 6680, 267, 621, 568, 1336, 607, 2484, 7532, 607, 14914, 6816, 543, 607, 2484, 7178, 607, 3162, 4000, 269, 901, 2249, 568, 1034, 1419, 2938, 538, 13719, 1216, 2282, 519, 6749, 32187, 540, 14147, 18625, 269, 634, 15454, 11818, 16356, 814, 519, 6093, 834, 872, 325, 16356, 257, 3337, 267, 609, 513, 3376, 267, 5180, 2879, 719, 543, 1804, 4064, 269, 901, 2249, 666, 581, 13747, 689, 2147, 2249, 676, 519, 10750, 610, 3043, 2389, 5792, 1101, 24725, 1710, 267, 519, 4158, 4388, 593, 519, 824, 27634, 267, 519, 3376, 267, 3109, 15493, 14345, 593, 519, 2766, 1710, 267, 543, 519, 3668, 540, 513, 25170, 1063, 519, 24725, 27634, 269, 4107, 2043, 616, 1447, 982, 476, 272, 269, 280, 544, 630, 277, 269, 273, 10264, 264, 1279, 563, 8601, 922, 11606, 538, 1978, 2127, 267, 519, 12144, 11818, 16356, 568, 835, 540, 519, 2547, 24713, 1221, 1804, 1270, 22044, 16142, 269, 1358, 616, 5156, 547, 1404, 513, 2101, 1909, 538, 5935, 12144, 11818, 2950, 269, 1452, 16142, 616, 811, 3742, 693, 3781, 267, 609, 1100, 2963, 540, 12119, 2242, 538, 2534, 610, 9194, 269, 4236, 32596, 4043, 547, 2611, 538, 513, 22297, 1858, 2429, 519, 1032, 267, 1247, 4079, 2039, 936, 513, 9962, 1858, 563, 763, 834, 327, 4875, 257, 3463, 4159, 540, 519, 15454, 11818, 16356, 568, 519, 1034, 14733, 543, 1134, 8153, 30748, 2065, 4159, 630, 320, 4159, 9859, 2509, 15712, 610, 6937, 264, 540, 1022, 16356, 269, 15766, 725, 540, 713, 2623, 723, 1044, 5059, 593, 519, 5114, 540, 16142, 547, 16042, 4129, 267, 930, 540, 799, 723, 19411, 730, 538, 6285, 269, 634, 4159, 5161, 540, 519, 16356, 9870, 922, 2879, 719, 267, 21177, 922, 533, 624, 7394, 27634, 267, 2895, 532, 922, 1394, 267, 543, 1225, 1324, 922, 1560, 2663, 958, 269, 2755, 8066, 713, 14302, 267, 519, 16356, 7669, 338, 609, 513, 13888, 267, 27105, 2427, 3562, 20933, 5163, 267, 3006, 5916, 609, 20061, 610, 4137, 268, 279, 17787, 269, 634, 8515, 540, 519, 4159, 4679, 952, 519, 16356, 568, 811, 5702, 14059, 610, 952, 9465, 616, 17527, 922, 9101, 11507, 267, 971, 607, 21056, 610, 824, 16142, 269, 1403, 519, 11651, 26251, 267, 519, 16356, 786, 2901, 18956, 610, 10131, 513, 4028, 1930, 2173, 719, 1117, 4323, 267, 1793, 4770, 609, 922, 5580, 4522, 563, 7069, 1753, 538, 519, 14147, 18625, 568, 1373, 8697, 676, 5836, 3679, 2305, 30147, 4386, 950, 519, 5836, 25309, 3327, 543, 3587, 3679, 1881, 269, 594, 2648, 2713, 1851, 14762, 18625, 267, 855, 2810, 3679, 2305, 9714, 525, 519, 2168, 2497, 540, 891, 18625, 267, 8380, 1250, 7226, 543, 1426, 3761, 693, 1981, 269, 901, 5540, 782, 519, 7068, 2713, 1851, 519, 11818, 1765, 2254, 1175 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6581, 518, 966, 7860, 538, 476, 2641, 560, 31588, 1722, 1977, 9085, 692, 7072, 912, 1103, 519, 2250, 1906, 5756, 267, 972, 723, 1044, 1082, 2242, 538, 938, 2486, 267, 1519, 875, 649, 1589, 827, 4008, 3961, 543, 14920, 269, 13834, 4016, 547, 519, 5107, 267, 5615, 267, 2238, 267, 543, 6788, 602, 513, 2486, 15109, 3617, 585, 2367, 543, 2021, 269, 20351, 10066, 6257, 945, 2576, 7959, 13631, 547, 14156, 543, 9308, 269, 4653, 267, 811, 543, 811, 1004, 616, 16175, 11589, 741, 9163, 543, 2833, 998, 3332, 267, 1148, 267, 2575, 267, 543, 824, 3860, 3029, 269, 901, 1576, 786, 6338, 596, 547, 930, 6909, 4589, 543, 2984, 602, 2671, 3309, 20210, 9739, 538, 476, 2641, 560, 10601, 3013, 780, 4089, 476, 272, 281, 4197, 6206, 16301, 454, 6524, 11362, 883, 891, 9735, 2835, 267, 1577, 781, 12172, 1018, 649, 1611, 676, 834, 4302, 518, 1701, 25214, 267, 834, 4302, 518, 257, 729, 1031, 607, 513, 2942, 2165, 1996, 1346, 609, 1875, 5991, 768, 894, 4638, 31223, 543, 4008, 9163, 269, 1717, 267, 5063, 267, 1082, 11806, 266, 2043, 723, 556, 13094, 519, 2165, 834, 4302, 518, 257, 547, 3277, 547, 4896, 945, 1281, 711, 2697, 607, 14553, 10636, 18400, 630, 3430, 26167, 1152, 547, 6587, 3023, 264, 543, 28250, 14054, 630, 1211, 4328, 609, 835, 781, 8655, 4332, 4008, 1040, 1635, 1210, 834, 4302, 518, 2437, 649, 666, 1711, 513, 6626, 22597, 2165, 21214, 1585, 9163, 543, 2833, 780, 4089, 476, 273, 281, 10289, 7756, 5772, 885, 3414, 11470, 454, 6624, 4207, 5830, 946, 5708, 607, 513, 1259, 547, 2263, 1950, 3584, 899, 4008, 3961, 543, 14920, 22992, 269, 1280, 1383, 267, 5981, 717, 3626, 781, 3209, 6723, 6645, 519, 1650, 540, 513, 1098, 8004, 3957, 9253, 20811, 945, 18387, 1406, 2943, 5143, 1200, 1920, 610, 2828, 1352, 779, 513, 8004, 1317, 789, 1294, 1200, 607, 513, 7911, 269, 10801, 519, 1433, 267, 9253, 20811, 8188, 2591, 855, 849, 25395, 16167, 1851, 1200, 15032, 267, 6029, 3988, 519, 2956, 540, 6568, 543, 1620, 780, 5194, 1390, 1224, 568, 6424, 23821, 603, 534, 781, 5565, 27258, 918, 1170, 532, 267, 799, 5205, 1079, 18295, 8695, 3843, 547, 1305, 513, 2871, 514, 1145, 2622, 16680, 585, 519, 13074, 21098, 1247, 4687, 741, 2123, 9620, 543, 29217, 269, 3958, 267, 18148, 1325, 790, 590, 5451, 20044, 781, 17127, 543, 667, 14397, 13028, 519, 31981, 540, 519, 17807, 7710, 519, 19806, 4040, 2078, 1063, 1079, 11204, 12677, 8695, 3395, 909, 538, 4432, 17131, 334, 267, 7147, 1282, 519, 3735, 476, 2735, 271, 338, 269, 1452, 9089, 2709, 11541, 3197, 543, 8903, 6386, 602, 948, 721, 1174, 1114, 5380, 1369, 519, 20210, 2146, 780, 4089, 476, 274, 281, 28249, 1275, 910, 26157, 13038, 5772, 885, 454, 27269, 267, 1004, 3180, 2789, 1514, 9163, 8195, 1765, 3697, 1373, 1312, 14447, 543, 21337, 267, 610, 24139, 543, 16981, 269, 1879, 7234, 20210, 2152, 267, 621, 781, 1898, 547, 2015, 28622, 267, 513, 1523, 22579, 676, 13690, 828, 331, 2946, 11511, 985, 24849, 10223, 875, 20718, 9163, 1764, 1367, 2833, 269, 1280, 3236, 267, 681, 7534, 13879, 8566, 2117, 807, 781, 623, 2529, 269, 2142, 18479, 1597, 2934, 5548, 874, 710, 267, 513, 4563, 8004, 4947, 547, 2474, 609, 1200, 4587, 11078, 781, 27503, 15832, 609, 1776, 8004, 269, 3414, 5548, 874, 710, 781, 4064, 267, 649, 7198, 519, 28963, 540, 5198, 267, 2085, 267, 543, 14920, 269, 6684, 267, 631, 1229, 603, 15570, 810, 781, 1403, 594, 12984, 2659, 21756, 6212, 593, 2549, 7701, 267, 513, 1098, 8004, 10188, 1272, 538, 513, 1507, 8828, 4884, 1310, 3001, 972, 1739, 1200, 5912, 269, 5637, 2835, 18991, 9414, 519, 6988, 540, 8066, 1896, 1514, 9163, 693, 2899, 780, 6962, 912, 3528, 3695, 1568, 2854, 676, 543, 827, 20210, 2043, 267, 649, 22962, 938, 20030, 543, 1020, 3152, 8296, 2509, 1866, 262, 2189, 15322, 269, 5457, 267, 3025, 781, 1995, 568, 4570, 543, 4502, 6217, 269, 1924, 10544, 835, 540, 891, 5863, 2835, 267, 7017, 1524, 12341, 6899, 267, 543, 2972, 18167, 883, 519, 3638, 13795, 540, 20210, 9739, 538, 476, 2641, 560, 10601, 1977, 3332, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2108, 306, 7739, 1464, 892, 568, 513, 1883, 2856, 593, 2852, 3786, 4926, 538, 519, 2136, 2276, 543, 519, 1964, 540, 519, 5375, 1158, 269, 1677, 519, 5667, 639, 1051, 532, 267, 6940, 568, 1175, 513, 1007, 2012, 585, 2825, 1143, 269, 1809, 519, 2262, 2731, 7436, 856, 513, 1007, 543, 3677, 20748, 8513, 538, 799, 1225, 339, 9430, 2804, 267, 2797, 267, 543, 7214, 15698, 568, 519, 3902, 602, 1590, 581, 6976, 1631, 547, 2327, 519, 10304, 540, 2104, 5481, 563, 1607, 1867, 568, 519, 1101, 538, 3829, 2565, 1353, 540, 519, 6940, 3350, 538, 2362, 2069, 269, 634, 3350, 267, 540, 1576, 267, 11498, 1134, 3564, 519, 2852, 13464, 269, 898, 5540, 5428, 6214, 267, 2229, 29904, 6483, 267, 519, 1648, 2872, 267, 21035, 267, 3506, 267, 543, 6800, 269, 1809, 519, 2852, 13464, 568, 1141, 519, 3350, 4991, 922, 5639, 540, 6392, 267, 543, 1141, 621, 28633, 519, 5784, 543, 12981, 519, 3007, 540, 1762, 1004, 563, 4407, 649, 1491, 1100, 2990, 538, 519, 2916, 1689, 7521, 267, 649, 1445, 538, 713, 1353, 593, 875, 519, 6940, 3350, 814, 25302, 2362, 2069, 269, 1284, 4983, 519, 2800, 621, 814, 2944, 547, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 20075, 518, 966, 7860, 538, 476, 2641, 560, 31588, 1722, 1977, 9085, 257, 607, 851, 540, 834, 11227, 1315, 2622, 9085, 1315, 1977, 1315, 476, 2641, 560, 11416, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 17345, 5149, 281, 7087, 19932, 538, 519, 17113, 910, 634, 11957, 540, 4860, 1388, 1944, 7111, 19932, 692, 7072, 912, 5970, 596, 2479, 9289, 875, 1082, 4654, 616, 9275, 538, 519, 1158, 286, 4340, 547, 6599, 333, 860, 826, 267, 972, 616, 1472, 476, 278, 267, 14056, 2713, 4654, 256, 10251, 267, 930, 540, 891, 4654, 616, 693, 1981, 540, 7106, 8960, 11014, 1813, 547, 3140, 2621, 899, 17091, 543, 14051, 269, 901, 1770, 6212, 593, 6805, 4654, 538, 519, 17113, 543, 1946, 621, 781, 1898, 547, 8190, 873, 998, 26016, 1436, 3646, 269, 1635, 1565, 827, 13155, 4654, 543, 741, 4529, 267, 649, 666, 5660, 4763, 543, 3895, 13784, 780, 8893, 476, 272, 281, 1548, 3657, 7087, 19932, 888, 5331, 6340, 707, 1378, 2189, 1893, 609, 922, 3982, 4992, 267, 1913, 267, 8239, 267, 543, 2528, 269, 2334, 781, 1018, 1373, 851, 540, 606, 6805, 2146, 1797, 256, 1452, 2950, 723, 5030, 538, 1808, 4525, 585, 5481, 267, 8497, 741, 5389, 543, 4654, 269, 1703, 616, 811, 982, 476, 28794, 6444, 11031, 538, 519, 2136, 2276, 4805, 256, 3509, 540, 1346, 11031, 3717, 1114, 4654, 267, 799, 2306, 938, 2197, 8059, 12264, 3309, 780, 14300, 281, 2368, 1455, 6805, 4654, 538, 3345, 3013, 1331, 18937, 26953, 630, 4944, 7505, 538, 14151, 267, 18096, 267, 543, 1715, 6792, 1070, 31180, 630, 514, 20274, 543, 3345, 10491, 1070, 543, 744, 329, 756, 933, 630, 27146, 3320, 538, 16506, 1040, 3962, 14316, 814, 922, 1686, 267, 9821, 267, 543, 22463, 1369, 741, 9757, 4654, 780, 8893, 476, 273, 281, 4208, 9701, 1284, 5516, 6168, 29510, 19932, 888, 299, 16722, 4163, 2984, 267, 4978, 267, 12583, 267, 543, 2686, 2418, 5293, 1524, 998, 5481, 269, 1879, 789, 14897, 267, 865, 1281, 5553, 17489, 7326, 269, 1280, 1383, 267, 1978, 2371, 949, 3180, 16392, 3601, 1634, 1152, 547, 22242, 945, 3717, 1880, 4654, 269, 700, 3151, 971, 1344, 1223, 1611, 9561, 1761, 524, 999, 543, 5574, 585, 1585, 10108, 269, 5047, 267, 1169, 1268, 19262, 6284, 543, 2463, 585, 741, 6561, 282, 7863, 5065, 4654, 5849, 713, 15683, 780, 12244, 281, 5994, 952, 2296, 10393, 2968, 17255, 14182, 269, 1215, 1131, 596, 1745, 6616, 782, 2835, 2854, 538, 2296, 1223, 1100, 3476, 581, 1224, 8259, 12261, 883, 1776, 1893, 286, 3767, 1589, 827, 4130, 2950, 6849, 713, 4641, 3232, 22924, 4665, 919, 721, 547, 948, 2149, 891, 10475, 4654, 780, 8893, 476, 274, 281, 4860, 1388, 1436, 27557, 454, 15430, 6326, 6805, 4654, 3340, 3742, 4674, 689, 1312, 3330, 543, 3544, 2950, 269, 22749, 267, 3506, 267, 3885, 267, 543, 2043, 12840, 1210, 2994, 899, 21599, 3292, 267, 19636, 2069, 267, 543, 2029, 5867, 269, 2290, 8037, 1967, 1650, 2501, 689, 519, 8575, 9461, 1004, 540, 1715, 10215, 267, 4171, 1893, 6450, 15903, 1310, 5756, 540, 7771, 7064, 547, 2229, 1489, 543, 29065, 7341, 780, 7078, 281, 1323, 11121, 4137, 538, 713, 3350, 568, 30227, 8053, 2401, 267, 513, 8059, 626, 6131, 547, 9494, 9691, 13155, 4654, 5001, 269, 1261, 5249, 5702, 609, 519, 570, 1782, 527, 2146, 538, 14522, 267, 2870, 2200, 543, 2645, 547, 4001, 7820, 5481, 741, 18577, 11469, 780, 6962, 912, 3528, 1620, 519, 2956, 540, 6805, 4654, 543, 10283, 538, 26016, 1436, 3646, 267, 649, 10802, 2486, 781, 13795, 1247, 16779, 12790, 2516, 269, 2913, 781, 8956, 519, 9371, 540, 14388, 2950, 676, 5009, 18371, 1143, 543, 8508, 10409, 4763, 269, 5457, 267, 1142, 2262, 10710, 8309, 547, 8103, 781, 7104, 5763, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 19604, 4011, 26753, 5398, 7732, 454, 1708, 274, 4446, 5886, 1299, 32201, 13028, 15356, 12736, 1676, 454, 16524, 4289, 539, 585, 519, 12448, 31257, 2405, 1023, 540, 28742, 454, 288, 2185, 4458, 6040, 21007, 685, 330, 2742, 336, 8004, 4422, 7508, 689, 519, 4544, 9440, 4610, 540, 19051, 267, 26354, 513, 9814, 602, 786, 20807, 519, 15000, 267, 19586, 513, 1920, 267, 543, 2611, 5667, 9407, 585, 5176, 15823, 1296, 454, 21202, 10875, 26813, 827, 2648, 267, 5198, 267, 30468, 267, 543, 519, 2545, 332, 540, 19807, 1701, 2443, 10144, 267, 589, 7454, 1715, 3883, 454, 20809, 476, 3422, 273, 269, 589, 21007, 685, 330, 2742, 336, 1920, 689, 25429, 32108, 21128, 538, 19051, 547, 4584, 30207, 585, 519, 4832, 269, 1284, 4060, 2663, 267, 2185, 4458, 6040, 25288, 773, 267, 519, 1920, 779, 21836, 1126, 267, 8709, 8460, 269, 2701, 568, 2063, 2938, 676, 1200, 3670, 4458, 6040, 7015, 267, 15608, 267, 9361, 593, 513, 5172, 4224, 693, 519, 6316, 540, 513, 10874, 787, 2361, 269, 15608, 786, 2611, 1253, 571, 9853, 676, 1010, 11078, 779, 14897, 766, 585, 1296, 547, 2097, 563, 1103, 19051, 267, 513, 1762, 8004, 3957, 11870, 320, 9428, 909, 607, 519, 1152, 1126, 540, 606, 3413, 23308, 1920, 269, 4173, 4651, 568, 14156, 11397, 267, 1200, 3993, 24858, 569, 936, 23181, 633, 269, 11870, 320, 568, 1419, 30223, 676, 18596, 9909, 543, 22649, 602, 3100, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 9358, 7582, 22723, 13493, 1315, 5678, 5530, 1315, 7087, 19932, 538, 519, 17113, 1315, 4860, 1388, 1436, 27557, 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, 8702, 547, 606, 3078, 3460, 883, 519, 1158, 540, 2257, 256, 4653, 649, 2811, 2469, 547, 1451, 827, 513, 2731, 3579, 1907, 1572, 22263, 17992, 5606, 14518, 15190, 18122, 267, 610, 674, 2316, 305, 585, 2110, 269, 901, 4480, 2337, 3744, 899, 721, 1174, 519, 2497, 543, 2623, 540, 1114, 2326, 269, 1924, 1577, 781, 4685, 1318, 538, 2439, 5331, 596, 723, 513, 9589, 3172, 4328, 4837, 602, 666, 2995, 596, 782, 827, 519, 1919, 596, 1413, 693, 1107, 1018, 789, 2811, 1500, 540, 267, 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 ]
[ 827, 32006, 1645, 519, 2250, 10600, 855, 3001, 15587, 2476, 689, 519, 1974, 267, 883, 606, 5736, 540, 8994, 2463, 543, 1620, 563, 12831, 1042, 725, 540, 19525, 543, 922, 27676, 23543, 543, 16160, 2022, 12258, 11102, 21463, 2540, 21562, 7018, 1282, 519, 7810, 1974, 538, 4622, 1547, 20616, 1143, 543, 2804, 1646, 538, 21562, 8753, 621, 568, 2556, 711, 1175, 547, 917, 1018, 2965, 5949, 547, 1646, 1282, 519, 7810, 1974, 267, 855, 1547, 6258, 811, 827, 519, 7810, 1686, 540, 5045, 21562, 6867, 577, 4341, 538, 519, 1309, 701, 12733, 476, 13679, 273, 910, 476, 9692, 276, 1317, 789, 1185, 6913, 1454, 1434, 936, 513, 2110, 1974, 540, 942, 1547, 9177, 543, 2069, 538, 519, 1646, 540, 21562, 676, 568, 320, 659, 562, 544, 1794, 27475, 7810, 547, 519, 2022, 12258, 11102, 1974, 1813, 547, 533, 14072, 640, 540, 811, 1699, 610, 909, 547, 15082, 563, 9824, 725, 1222, 1063, 2022, 12258, 11102, 21562, 543, 519, 7178, 723, 519, 1482, 24598, 25751, 543, 2743, 519, 1482, 6662, 899, 519, 2078, 540, 519, 7810, 1974, 281, 799, 729, 1759, 593, 6207, 1852, 936, 21562, 543, 922, 1480, 543, 1570, 2200, 543, 519, 29454, 7262, 6080, 543, 269, 634, 17091, 540, 21562, 552, 327, 1221, 340, 552, 575, 1775, 4546, 773, 4011, 1107, 25433, 2852, 27502, 267, 2802, 11340, 807, 729, 2111, 547, 2226, 922, 7115, 585, 1454, 540, 519, 7810, 1974, 1547, 12085, 2887, 6306, 281, 606, 2079, 540, 840, 543, 2022, 12258, 11102, 28075, 2692, 519, 2360, 540, 24067, 19525, 593, 28075, 2692, 2486, 689, 606, 19052, 5133, 2022, 12258, 11102, 1547, 968, 332, 559, 16893, 538, 519, 1686, 540, 721, 4914, 1894, 892, 814, 1044, 19622, 543, 568, 1100, 3476, 9738, 585, 811, 1344, 267, 5225, 1294, 519, 2407, 5469, 1063, 476, 3707, 276, 543, 476, 3422, 271, 267, 1614, 18797, 1007, 2829, 538, 607, 807, 543, 21562, 6913, 13190, 610, 30739, 7115, 689, 741, 24067, 7810, 17710, 1547, 3979, 6214, 538, 519, 2022, 23949, 11163, 1974, 519, 7810, 1974, 538, 21562, 16768, 1447, 982, 513, 2540, 543, 8694, 630, 1721, 519, 1034, 851, 264, 936, 3368, 513, 2540, 3516, 563, 8070, 7810, 1974, 538, 21562, 454, 303, 3174, 1949, 538, 840, 12258, 11102, 21562, 2144, 1731, 3039, 476, 272, 4367, 693, 519, 2898, 840, 12258, 11102, 1974, 267, 799, 21018, 689, 10199, 5722, 2929, 1296, 3516, 547, 519, 269, 9622, 7217, 14172, 593, 519, 7810, 5736, 538, 21562, 607, 1134, 607, 606, 4879, 540, 2022, 24645, 21562, 2221, 2063, 540, 519, 2127, 540, 519, 1158, 547, 1995, 519, 1547, 12465, 1604, 5726, 2994, 538, 840, 12258, 11102, 21562, 281, 4245, 585, 1990, 23000, 547, 519, 1641, 723, 5059, 593, 2022, 23949, 11163, 1974, 538, 1990, 23000, 4586, 268, 769, 2022, 12258, 11102, 12416, 281, 3069, 267, 19525, 538, 476, 4489, 274, 281, 519, 19052, 10125, 540, 519, 24067, 23693, 543, 519, 2022, 24645, 267, 476, 2641, 560, 10601, 2797, 6302, 540, 519, 4586, 268, 2290, 540, 519, 1034, 7096, 23543, 540, 519, 7810, 1974, 814, 1044, 6803, 4655, 950, 519, 24067, 7060, 13684, 6101, 16857, 6302, 2429, 519, 11782, 538, 476, 6642, 276, 267, 519, 5452, 585, 6803, 4655, 538, 2022, 12258, 11102, 21562, 941, 521, 1144, 630, 4565, 656, 517, 267, 544, 1783, 267, 6622, 578, 476, 1220, 272, 1916, 763, 4161, 540, 28160, 1436, 538, 21562, 540, 519, 5449, 7810, 7060, 538, 21562, 781, 4835, 12602, 538, 21562, 2429, 519, 1974, 1317, 540, 741, 1547, 20616, 1143, 543, 1646, 538, 21562, 3274, 676, 3168, 693, 4093, 1282, 519, 7810, 1974, 568, 513, 12497, 12161, 2022, 23949, 11163, 21562, 6743, 4986, 1547, 2098, 3976, 547, 1169, 7810, 2022, 267, 972, 729, 3964, 513, 5939, 267, 513, 1153, 543, 513, 6413, 2185, 2663, 23937, 519, 23543, 540, 19525, 538, 19052, 4915, 269, 0, 10932, 4574, 538, 3504, 21944, 1686, 454, 24465, 1686, 543, 2528, 616, 1373, 19586, 539, 543, 6045, 538, 713, 1686, 1557, 3732, 1688, 24703, 1168, 761, 902, 568, 519, 1283, 5544, 547, 4444, 1382, 1957, 267, 2165, 1957, 1547, 3203, 1686, 1382, 1957, 3584, 543, 741, 1603, 3157, 8428, 689, 824, 2852, 543, 6280, 4081, 4574, 602, 1053, 616, 8655, 547, 2328, 269, 3194, 1957, 15242, 476, 1724, 267, 5952, 272, 5784, 2671, 521, 686, 18769, 979, 9234, 267, 519, 3909, 1686, 540, 3504, 15242, 630, 785, 807, 281, 2712, 341, 20076, 2046, 267, 476, 2735, 275, 264, 2021, 16882, 1382, 1957, 269, 3778, 824, 3594, 281, 3504, 19580, 3504, 19580, 713, 1382, 1957, 3504, 19580, 543, 824, 476, 5038, 267, 1822, 266, 2165, 4574, 267, 2852, 1557, 1806, 543, 1863, 3594, 616, 2139, 1631, 593, 2689, 612, 904, 1260, 563, 8698, 3504, 21944, 1686, 543, 2528, 1382, 4574, 593, 24243, 9254, 585, 1863, 269, 1703, 616, 513, 2603, 540, 1383, 1382, 4574, 267, 2165, 4574, 543, 3594, 593, 1686, 3584, 693, 1434, 9987, 335, 3639, 1260, 713, 568, 1946, 21944, 27998, 15877, 519, 1898, 1547, 12054, 14373, 1299, 13186, 649, 723, 1044, 11179, 8066, 12353, 29468, 538, 519, 8257, 585, 519, 4324, 540, 1053, 267, 2523, 1382, 5640, 538, 891, 29468, 267, 1312, 519, 12200, 2818, 607, 1134, 607, 1382, 5640, 4843, 741, 1382, 4574, 267, 799, 3177, 23927, 1299, 2866, 547, 1762, 14232, 4416, 320, 269, 634, 1876, 5399, 540, 18322, 2488, 513, 17609, 540, 3407, 21944, 21308, 267, 16324, 3664, 267, 721, 9479, 267, 543, 1876, 14708, 989, 31789, 11341, 547, 5065, 7819, 1686, 5065, 7819, 1876, 713, 3135, 267, 689, 519, 11547, 14315, 6280, 1153, 540, 1876, 267, 568, 513, 28094, 540, 2200, 1519, 8732, 601, 1177, 267, 2229, 8041, 267, 1382, 10274, 267, 3906, 4586, 10932, 538, 14609, 7290, 2090, 14609, 7290, 2090, 814, 513, 1279, 1686, 693, 519, 6280, 540, 4050, 11796, 609, 2027, 1445, 593, 21944, 267, 24349, 267, 543, 29534, 14609, 7290, 5389, 543, 811, 5063, 593, 14609, 11297, 538, 22703, 607, 807, 269, 901, 568, 1383, 1382, 1957, 593, 1686, 540, 15242, 1863, 3732, 2165, 1957, 593, 15242, 972, 616, 513, 2603, 540, 1383, 1382, 4574, 267, 2165, 4574, 543, 3594, 593, 1686, 3584, 693, 1434, 9987, 335, 3639, 1260, 269, 3194, 2238, 10319, 1382, 10872, 519, 8257, 540, 3504, 21944, 1686, 267, 2528, 543, 22884, 267, 7333, 31730, 554, 8114, 6280, 5645, 856, 835, 1547, 8836, 15242, 281, 1686, 540, 15242, 281, 3504, 15242, 1686, 281, 3504, 15242, 5013, 3504, 15242, 5013, 1419, 15763, 676, 12206, 543, 5640, 267, 1082, 7986, 5013, 827, 3504, 15242, 3136, 547, 2611, 513, 9814, 563, 288, 5618, 5850, 593, 21882, 513, 1382, 1957, 827, 3504, 21944, 1686, 2429, 519, 1272, 540, 1034, 1053, 267, 610, 693, 2547, 519, 3283, 945, 7390, 513, 10805, 1857, 610, 4357, 20576, 267, 972, 1131, 581, 513, 942, 950, 741, 5578, 543, 1620, 540, 519, 2596, 1557, 1131, 581, 2322, 547, 519, 1449, 269, 9147, 1686, 2221, 781, 1158, 7640, 525, 606, 10373, 7963, 547, 519, 22800, 23693, 543, 1390, 4872, 540, 3504, 1686, 741, 18563, 543, 2093, 13087, 519, 13120, 540, 1480, 2486, 543, 9788, 519, 1547, 7348, 3504, 21944, 1686, 1382, 4574, 593, 24243, 9254, 585, 1863, 269, 5131, 3504, 15242, 4574, 267, 3594, 267, 543, 1382, 4574, 910, 3504, 15242, 814, 6266, 540, 3638, 1686, 689, 519, 1101, 13896, 267, 519, 513, 787, 753, 543, 642, 14037, 6502, 267, 519, 1390, 1547, 2913, 781, 2263, 15242, 543, 17858, 538, 519, 942, 540, 741, 3504, 2021, 538, 3504, 1686, 281, 795, 24944, 588, 14515, 752, 536, 273, 512, 5797, 518, 1382, 1957, 5107, 540, 2021, 538, 4586, 10932, 4574, 538, 3504, 21944, 1686, 454, 14532, 543, 2489, 2090, 15242, 781, 1297, 835, 22045, 585, 1686, 18593, 3070, 540, 1271, 2055, 540, 3105, 1296, 4574, 3504, 15242, 281, 3105, 1296, 1547, 9147, 2090, 1957, 3584, 519, 3318, 5234, 693, 1379, 335, 3639, 1260, 17358, 519, 2796, 540, 3504, 1686, 543, 616, 9280, 547, 4983, 9259, 689, 713, 1974, 1369, 519, 8552, 540, 2789, 14485, 540, 14374, 269, 17796, 585, 1686, 540, 21944, 6128, 678, 524, 10443, 13568, 713, 6799, 513, 2110, 1107, 543, 18106, 4534, 15853, 540, 2835, 543, 1382, 4574, 593, 269, 10749, 267, 2165, 4574, 267, 1433, 5359, 267, 1382, 4574, 593, 7819, 1686, 1863, 4574, 543, 3594, 593, 21944, 14316, 649, 1683, 1863, 2203, 3594, 593, 7819, 1686, 267, 21944, 14316, 5359, 267, 543, 2165, 1957, 5439, 1644, 547, 21944, 14316, 563, 268, 23225, 2477, 538, 519, 1158, 723, 971, 606, 3504, 543, 3309, 2528, 607, 15242, 779, 1175, 1931, 513, 2688, 2854, 1382, 1957, 593, 21944, 1686, 1382, 4574, 563, 268, 4033, 4930, 1141, 1686, 540, 15242, 568, 5941, 281, 15242, 281, 1686, 281, 519, 21944, 1016, 29657, 267, 519, 1390, 2244, 21346, 540, 5045, 607, 807, 267, 568, 519, 1753, 540, 835, 540, 519, 1158, 779, 9510, 543, 1034, 9565, 12977, 563, 268, 6468, 14226, 538, 21944, 2413, 2486, 922, 10250, 568, 1336, 538, 519, 1686, 540, 3504, 15242, 2021, 616, 6849, 2042, 538, 1169, 12106, 540, 1272, 2436, 4586, 3953, 6114, 547, 21944, 1686, 12225, 1108, 281, 3504, 15242, 547, 2413, 15242, 1107, 1451, 5488, 1158, 1686, 4967, 910, 575, 338, 1957, 476, 272, 21944, 2486, 4967, 910, 575, 338, 1957, 476, 272, 269, 5900, 847, 633, 3504, 1686, 1382, 1957, 3584, 547, 2328, 827, 568, 519, 21120, 585, 707, 1382, 1957, 3728, 16042, 543, 596, 10093, 1406, 2219, 540, 513, 2582, 2856, 593, 1018, 547, 2328, 269, 6201, 540, 1657, 2016, 1106, 27909, 4196, 547, 2285, 930, 2856, 540, 3504, 21944, 3173, 543, 741, 9295, 547, 21944, 2564, 561, 648, 519, 1382, 3238, 538, 713, 1547, 0, 13625, 593, 519, 17167, 1495, 812, 454, 12606, 713, 14391, 566, 1934, 281, 14391, 566, 12987, 585, 9378, 639, 646, 2033, 344, 781, 1412, 335, 684, 269, 634, 6249, 540, 891, 1079, 9954, 568, 812, 8957, 2470, 855, 2407, 1557, 5439, 616, 2139, 1152, 585, 971, 607, 968, 1492, 17167, 1495, 812, 892, 543, 968, 1492, 585, 613, 892, 610, 930, 269, 769, 519, 1178, 889, 4150, 812, 267, 543, 2663, 585, 5128, 789, 2968, 519, 1641, 540, 1896, 540, 1010, 9954, 267, 1519, 519, 17167, 1495, 812, 543, 536, 690, 1633, 269, 634, 17167, 1495, 812, 519, 17167, 1495, 812, 568, 835, 540, 21570, 781, 1655, 8153, 536, 690, 4703, 646, 729, 1336, 267, 7258, 519, 1178, 889, 4150, 812, 538, 519, 2038, 476, 4198, 271, 338, 536, 690, 4703, 269, 634, 17333, 614, 18405, 950, 596, 32168, 539, 519, 1769, 540, 512, 19895, 1415, 5951, 1042, 543, 2220, 2426, 998, 519, 7535, 689, 1283, 547, 5377, 519, 17167, 1495, 812, 476, 1724, 4571, 3856, 2736, 563, 8005, 3591, 972, 729, 513, 1966, 12744, 532, 9378, 639, 646, 2033, 344, 7650, 25269, 1427, 11538, 269, 634, 9814, 540, 519, 17167, 1495, 812, 607, 13890, 538, 2707, 513, 267, 519, 9814, 540, 519, 17167, 1495, 812, 3459, 950, 1079, 546, 4314, 24435, 6633, 619, 941, 3168, 585, 24435, 547, 6633, 693, 269, 476, 273, 519, 1004, 945, 4362, 827, 519, 17167, 1495, 812, 1336, 856, 602, 519, 2063, 7594, 646, 17696, 729, 2901, 27615, 601, 610, 6094, 17339, 540, 930, 476, 1789, 1114, 5686, 9274, 543, 18047, 267, 1519, 18923, 267, 27046, 267, 30485, 267, 543, 2361, 31781, 344, 563, 8698, 1557, 910, 513, 823, 7005, 1396, 519, 17167, 1495, 812, 538, 5614, 5503, 630, 272, 264, 689, 7005, 7005, 693, 575, 2868, 6996, 536, 2784, 323, 1442, 9972, 1164, 620, 534, 620, 29166, 345, 632, 521, 582, 558, 599, 528, 20444, 1810, 2129, 826, 513, 823, 7005, 3332, 476, 1556, 15292, 269, 1849, 583, 698, 1557, 3126, 2835, 804, 583, 698, 6965, 1315, 6965, 30732, 7410, 1315, 513, 695, 1853, 1107, 9378, 639, 646, 2033, 344, 513, 695, 1853, 1107, 9378, 639, 646, 2033, 344, 856, 540, 8929, 8730, 2048, 1492, 17167, 1495, 812, 538, 269, 634, 17167, 1495, 812, 1107, 9378, 639, 646, 2033, 344, 1100, 6609, 676, 694, 17505, 513, 327, 4364, 593, 476, 280, 12354, 3426, 476, 1001, 274, 512, 11548, 8292, 630, 271, 264, 5225, 2845, 538, 547, 1039, 707, 6085, 269, 570, 3326, 1495, 812, 6648, 2079, 1557, 910, 512, 11232, 3534, 822, 997, 558, 269, 10403, 1557, 281, 7493, 713, 1382, 3217, 513, 2022, 19640, 1935, 547, 9378, 639, 646, 2033, 344, 781, 1079, 9954, 281, 536, 690, 1633, 543, 519, 17167, 1495, 812, 519, 20209, 1878, 538, 519, 1382, 3142, 269, 1530, 600, 639, 646, 2033, 344, 2055, 543, 4267, 606, 1557, 593, 9378, 639, 646, 2033 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4055, 729, 5394, 609, 8082, 607, 519, 22644, 539, 8470, 540, 24192, 3576, 741, 16295, 1472, 519, 25509, 30652, 690, 1415, 3349, 269, 2311, 519, 2212, 540, 519, 3349, 2893, 519, 16010, 10579, 267, 715, 807, 267, 606, 28430, 4137, 1634, 585, 1200, 2702, 547, 1118, 1256, 519, 1034, 1950, 2883, 3609, 3100, 2241, 543, 3015, 269, 2701, 23500, 519, 4055, 1354, 6340, 780, 257, 293, 12188, 2437, 1352, 3459, 267, 1200, 5639, 6027, 2943, 4971, 532, 269, 834, 2171, 616, 1934, 2221, 1317, 938, 4182, 568, 6849, 513, 2565, 795, 15802, 269, 1284, 723, 519, 4316, 547, 4482, 1454, 32571, 4914, 5092, 267, 855, 649, 1590, 957, 21825, 3010, 288, 9597, 332, 584, 540, 6876, 678, 2089, 1194, 998, 519, 1895, 267, 543, 715, 807, 4797, 269, 834, 2414, 713, 1439, 267, 594, 15974, 1614, 1883, 7341, 269, 3689, 267, 1577, 721, 2015, 5356, 6098, 3454, 15314, 547, 1303, 823, 4914, 3549, 547, 1305, 909, 6300, 1369, 938, 10665, 269, 901, 786, 711, 1152, 3142, 538, 1007, 8907, 12535, 855, 849, 12954, 2816, 2208, 543, 27513, 5647, 3010, 3080, 540, 519, 8470, 2818, 267, 3220, 269, 19453, 267, 6659, 1010, 1688, 17895, 8271, 269, 834, 3719, 8496, 600, 10579, 2437, 646, 1767, 267, 9663, 8089, 1010, 536, 992, 269, 834, 1432, 22059, 798, 649, 723, 602, 891, 3549, 786, 3251, 2899, 519, 3454, 15314, 1163, 790, 12482, 301, 807, 21330, 24617, 269, 834, 2304, 5140, 2243, 267, 3220, 269, 19453, 269, 2334, 6770, 803, 547, 1250, 2034, 11556, 910, 2870, 513, 811, 1870, 7888, 9431, 1604, 269, 1635, 5969, 2699, 11746, 543, 1818, 621, 4443, 585, 4213, 547, 6330, 29904, 6483, 267, 649, 6542, 938, 7029, 547, 5807, 1279, 3856, 12352, 609, 891, 3486, 5716, 3010, 7804, 269, 19453, 10709, 539, 1394, 538, 1010, 11381, 267, 9583, 13854, 609, 519, 3210, 269, 1809, 1776, 4759, 267, 15516, 269, 4793, 601, 267, 954, 915, 539, 269, 834, 14737, 3563, 267, 1247, 1346, 2093, 3180, 20519, 267, 875, 798, 649, 2327, 1761, 9520, 917, 827, 891, 3255, 286, 3776, 3950, 2594, 18387, 1405, 4010, 1044, 24974, 950, 621, 2501, 547, 5009, 6000, 607, 606, 10694, 10278, 585, 4914, 3854, 3010, 301, 807, 20493, 6094, 569, 269, 834, 25105, 267, 9811, 269, 9373, 11036, 1297, 1614, 281, 9591, 6131, 20971, 8871, 10056, 589, 2102, 2886, 25461, 4481, 609, 15386, 938, 2197, 781, 2189, 5383, 269, 1358, 1131, 4196, 607, 5605, 817, 611, 832, 540, 12204, 267, 512, 719, 532, 938, 10731, 2067, 2200, 267, 3810, 9952, 4074, 3196, 267, 8013, 1942, 2497, 267, 543, 2797, 6617, 3010, 16039, 269, 4793, 601, 21330, 7444, 267, 5693, 27278, 676, 519, 2856, 269, 1306, 519, 4901, 20595, 593, 267, 621, 2968, 7805, 602, 1142, 4759, 540, 519, 8470, 1185, 31681, 1107, 4570, 4145, 4535, 689, 1296, 540, 1995, 32702, 609, 16642, 3609, 543, 2518, 6990, 269, 8616, 267, 972, 729, 1945, 26837, 22239, 9159, 827, 715, 807, 781, 5075, 282, 1200, 18515, 547, 9784, 1312, 31577, 543, 6529, 538, 13287, 540, 513, 1455, 3804, 6273, 6015, 780, 2026, 519, 5870, 16668, 547, 513, 2673, 267, 715, 807, 11542, 909, 267, 15202, 519, 1439, 540, 18659, 269, 6969, 6028, 267, 1498, 267, 1352, 5828, 547, 2232, 519, 8470, 835, 2063, 942, 780, 257, 7069, 2828, 2437, 1352, 1767, 23900, 267, 4064, 575, 548, 5446, 609, 8990, 269, 834, 1607, 3460, 4465, 1405, 581, 2653, 269, 1703, 786, 581, 4155, 4565, 4169, 2059, 519, 1259, 267, 8090, 950, 8969, 1212, 10134, 538, 543, 3356, 4667, 21792, 269, 1809, 952, 649, 2611, 32344, 538, 938, 31710, 267, 8149, 547, 2324, 1927, 267, 594, 5963, 3494, 649, 666, 2981, 938, 4346, 543, 5150, 513, 17321, 2104, 585, 5481, 547, 2097, 3010, 4415, 602, 267, 715, 807, 588, 549, 1372, 3483, 2685, 856, 540, 519, 4055, 267, 6028, 3297, 513, 9901, 16563, 4904, 609, 24736, 543, 4126, 269, 1656, 12341, 2620, 1524, 267, 12617, 9944, 6106, 540, 25949, 543, 22964, 3901, 1143, 267, 1142, 4759, 6785, 789, 941, 26164, 519, 21554, 540, 513, 1007, 5736, 1107, 835, 1141, 12050, 3664, 1223, 3337, 711, 1175, 741, 1378, 3186, 514, 625, 267, 855, 519, 12556, 540, 606, 3003, 4182, 269, 0, 2237, 513, 8903, 1650, 1644, 547, 519, 1739, 1257, 6256, 912, 29205, 596, 2285, 1806, 540, 1808, 4507, 519, 8804, 14012, 814, 8045, 547, 5000, 4914, 5092, 888, 296, 798, 711, 723, 1344, 593, 519, 1699, 8804, 14012, 267, 741, 4507, 267, 610, 741, 2197, 269, 2705, 267, 1775, 666, 1683, 930, 2489, 1806, 540, 4507, 602, 8804, 26110, 949, 2936, 547, 5000, 4914, 5092, 1384, 272, 269, 3454, 15314, 281, 8804, 26110, 949, 2569, 9204, 610, 2709, 3454, 9397, 547, 4914, 9520, 547, 5000, 873, 547, 1902, 538, 519, 2197, 780, 273, 269, 5092, 7888, 6042, 281, 8804, 26110, 949, 1711, 513, 1870, 7888, 1604, 676, 4227, 6042, 267, 6908, 23164, 17531, 29386, 5773, 267, 543, 28976, 519, 1184, 540, 4259, 909, 513, 1870, 780, 274, 269, 5092, 13319, 8041, 281, 8804, 26110, 949, 3715, 8041, 547, 3895, 519, 2197, 607, 513, 14909, 5092, 10278, 676, 10223, 922, 10305, 267, 971, 607, 10731, 2067, 2200, 267, 513, 9952, 13781, 267, 1970, 3790, 540, 3257, 1870, 267, 543, 2797, 6617, 780, 275, 269, 2027, 2804, 10851, 281, 1710, 320, 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, 513, 2629, 4062, 540, 519, 9814, 3097, 268, 21624, 4798, 281, 2263, 4798, 22298, 609, 513, 9921, 5304, 267, 971, 607, 5837, 13509, 267, 16650, 14511, 267, 2123, 7004, 267, 610, 519, 4539, 540, 2250, 3527, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 834, 763, 3141, 8288, 1970, 538, 519, 6607, 257, 610, 834, 1103, 519, 27452, 1396, 2580, 581, 3860, 269, 0, 6092, 5149, 281, 2405, 28351, 3203, 910, 9540, 31493, 696, 999, 609, 513, 9452, 547, 15681, 692, 8702, 547, 519, 4241, 1158, 540, 1199, 28351, 1148, 256, 2311, 1101, 16145, 267, 891, 1507, 4496, 25923, 1522, 3100, 899, 2241, 11113, 267, 855, 789, 2811, 2965, 865, 1454, 811, 269, 3962, 835, 568, 513, 6263, 17001, 4904, 609, 10578, 2984, 827, 1004, 267, 2621, 267, 543, 18517, 2429, 1686, 269, 2913, 781, 4685, 883, 713, 9159, 15908, 1927, 2439, 1262, 1432, 568, 2405, 28351, 3203, 286, 12533, 10900, 13430, 5331, 1373, 2111, 547, 3180, 513, 4062, 540, 1686, 538, 707, 3946, 20196, 779, 1018, 10655, 1199, 28351, 1148, 666, 1745, 899, 256, 1452, 4190, 13144, 616, 1419, 5180, 899, 513, 11777, 267, 855, 3079, 540, 1175, 2348, 13075, 1871, 267, 1142, 2427, 6645, 513, 1650, 998, 2592, 543, 1913, 1572, 968, 5586, 1742, 1848, 1358, 2097, 538, 1585, 5546, 267, 7306, 267, 2326, 267, 543, 6272, 267, 1818, 873, 3020, 1568, 540, 1148, 780, 265, 12441, 1411, 5700, 286, 281, 2368, 19216, 20647, 538, 1152, 1808, 4798, 971, 607, 5026, 267, 4583, 3401, 267, 610, 1256, 2831, 256, 22177, 1262, 288, 16684, 3778, 540, 2405, 28351, 3203, 12533, 29432, 10144, 723, 1044, 2870, 16033, 894, 21797, 2094, 3504, 2053, 269, 1717, 267, 2413, 1199, 28351, 1148, 3323, 1472, 519, 3735, 5664, 12698, 630, 12671, 476, 4335, 1296, 3516, 1040, 7982, 1287, 267, 17710, 1131, 2285, 856, 1199, 1023, 1500, 540, 10475, 8407, 607, 12587, 610, 13344, 1282, 1271, 14026, 269, 3683, 942, 267, 5159, 3459, 13167, 891, 3615, 17033, 585, 741, 7499, 20519, 2864, 982, 1022, 13075, 4502, 780, 265, 7078, 5384, 15846, 6056, 827, 8391, 513, 30407, 1310, 10888, 513, 5198, 693, 1153, 1107, 1247, 621, 949, 1413, 2147, 547, 2724, 267, 621, 4564, 9740, 543, 8956, 3079, 540, 4890, 9304, 780, 1262, 17637, 15689, 538, 2405, 28351, 3203, 12533, 5785, 14945, 9617, 899, 10367, 610, 18810, 267, 972, 616, 1082, 2609, 602, 979, 883, 8888, 513, 10875, 30407, 269, 3371, 616, 930, 1883, 2474, 547, 3314, 1384, 272, 269, 2878, 11917, 2091, 4995, 901, 2165, 4016, 547, 519, 1412, 21650, 262, 2427, 540, 513, 30407, 267, 2356, 10023, 513, 7986, 4137, 610, 3090, 563, 273, 269, 2878, 305, 27654, 4995, 11534, 5242, 540, 1073, 2091, 267, 713, 2427, 3335, 2982, 513, 6429, 267, 2138, 1729, 267, 610, 1776, 3239, 4143, 547, 519, 6249, 563, 274, 269, 2878, 9824, 3971, 4995, 898, 6257, 875, 1164, 610, 1970, 519, 1374, 6763, 856, 689, 519, 2627, 269, 4400, 8323, 1797, 7184, 20077, 5515, 267, 6466, 1970, 8323, 2164, 538, 13719, 1266, 9545, 902, 563, 275, 269, 2878, 15031, 2088, 4995, 898, 781, 519, 10477, 4494, 4646, 6923, 593, 519, 2627, 1813, 547, 16617, 799, 14014, 519, 5817, 1570, 269, 11814, 832, 2648, 1273, 21590, 1317, 789, 1039, 1915, 543, 22464, 547, 1142, 4062, 780, 1262, 8624, 22162, 9669, 585, 8479, 2037, 28387, 328, 6814, 12533, 14343, 692, 3086, 602, 596, 917, 1018, 1199, 28351, 1148, 568, 1577, 803, 2671, 930, 4388, 593, 4358, 707, 1378, 4015, 1384, 272, 269, 2878, 16521, 2659, 27484, 4995, 5463, 4575, 593, 513, 1880, 1888, 2306, 10655, 1187, 543, 19242, 269, 12292, 267, 3140, 2621, 267, 610, 14789, 1223, 581, 1390, 26784, 2336, 273, 269, 2878, 9596, 6168, 10049, 4995, 4197, 1114, 2010, 540, 8407, 1031, 538, 1199, 28351, 1148, 2337, 5660, 741, 5898, 1732, 269, 27705, 267, 8988, 267, 4154, 267, 7601, 267, 543, 11956, 616, 1455, 5079, 563, 274, 269, 2878, 21010, 2060, 11524, 4995, 15012, 15731, 267, 7390, 29468, 267, 543, 7119, 538, 2228, 2950, 1141, 8284, 12439, 5531, 269, 19457, 2833, 3376, 839, 20030, 543, 10173, 6612, 563, 275, 269, 2878, 291, 17805, 2659, 4855, 338, 4995, 5901, 3950, 540, 1169, 1840, 547, 707, 4015, 676, 15663, 1524, 3877, 899, 4266, 9715, 267, 2783, 267, 5169, 267, 3092, 780, 8855, 267, 2436, 596, 1831, 513, 3978, 21689, 610, 3274, 2972, 1565, 827, 891, 20538, 25704, 267, 3695, 1199, 28351, 1148, 10741, 9885, 547, 1620, 1686, 267, 5876, 267, 543, 8103, 781, 3838, 2833, 269, 8414, 10122, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 307, 8008, 570, 2894, 17676, 8946, 5058, 306, 9215, 11298, 5442, 700, 31631, 2177, 454, 26780, 568, 513, 2749, 585, 782, 6502, 267, 782, 12405, 543, 782, 23348, 269, 6787, 596, 616, 3168, 585, 2528, 267, 1686, 267, 2470, 610, 585, 11141, 24738, 267, 5507, 814, 606, 11606, 540, 3681, 547, 2709, 269, 6744, 856, 938, 1592, 540, 1863, 18845, 543, 1919, 547, 798, 950, 9683, 5507, 543, 649, 616, 1978, 602, 596, 786, 1265, 1945, 585, 707, 6010, 532, 563, 24591, 713, 2376, 585, 2663, 256, 18237, 621, 2336, 272, 269, 3703, 7467, 454, 763, 3703, 7467, 15225, 538, 922, 476, 2568, 26847, 267, 936, 476, 279, 2929, 13742, 689, 1480, 1686, 267, 1148, 267, 543, 2528, 267, 689, 3504, 12977, 547, 519, 1459, 269, 634, 9754, 814, 606, 3573, 4015, 689, 23104, 1014, 267, 5259, 610, 4936, 2528, 547, 2012, 513, 1906, 563, 2005, 814, 519, 4102, 4015, 540, 12266, 13742, 630, 3467, 982, 476, 1911, 267, 1822, 4773, 264, 538, 519, 1158, 1519, 24112, 540, 31279, 338, 543, 519, 2051, 1601, 531, 6465, 826, 540, 2549, 523, 14653, 788, 8633, 269, 634, 3213, 1231, 543, 2405, 1023, 4015, 2882, 19728, 689, 2066, 519, 8608, 6580, 689, 476, 278, 628, 11416, 7460, 563, 763, 9754, 849, 814, 513, 7732, 8027, 936, 476, 12573, 267, 1822, 2835, 593, 519, 642, 320, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 8469, 28351, 3203, 257, 607, 851, 540, 834, 3198, 2316, 27309, 1299, 23333, 28421, 2316, 13993, 2464, 1315, 3213, 1231, 267, 4354, 6275, 1299, 2405, 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, 589, 1247, 1394, 267, 594, 1336, 8885, 1524, 519, 15529, 8559, 540, 2228, 15473, 267, 5275, 5796, 593, 519 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 713, 585, 519, 1646, 540, 606, 7471, 1935, 616, 5941, 269, 22810, 3061, 1622, 543, 5646, 15078, 267, 11221, 536, 1329, 333, 6053, 267, 616, 3743, 585, 8498, 7245, 267, 15357, 618, 540, 1857, 3664, 267, 543, 2797, 6041, 540, 741, 14218, 4293, 693, 519, 6237, 543, 3084, 2157, 563, 5278, 3523, 2209, 538, 713, 1858, 540, 519, 1353, 849, 6592, 7422, 538, 1603, 538, 741, 1378, 942, 267, 1991, 547, 11042, 593, 519, 1641, 1858, 538, 2243, 269, 1717, 267, 621, 3788, 519, 2013, 602, 3007, 540, 1034, 9381, 2871, 12505, 3150, 568, 5059, 5087, 2509, 519, 12144, 10195, 543, 3345, 3013, 563, 29909, 782, 1004, 7390, 2229, 3119, 3506, 267, 543, 607, 513, 1267, 1034, 616, 3221, 656, 538, 2296, 267, 519, 1360, 1762, 543, 1360, 2025, 4849, 539, 563, 294, 8500, 534, 3150, 589, 1067, 785, 2103, 616, 15007, 958, 2808, 547, 17663, 2818, 540, 8370, 3982, 17174, 2516, 269, 634, 3844, 13539, 2488, 3084, 7400, 6041, 538, 2463, 540, 1880, 2042, 5185, 676, 4759, 2950, 267, 543, 849, 10981, 9812, 693, 513, 3084, 543, 3486, 1377, 593, 1883, 2152, 563, 25332, 3569, 543, 547, 513, 14758, 6708, 7589, 941, 849, 1271, 267, 543, 15870, 3937, 729, 6964, 538, 11837, 2244, 946, 269, 4107, 540, 519, 1382, 942, 729, 6170, 1851, 519, 654, 777, 880, 3570, 1004, 540, 5045, 2914, 3480, 24053, 3570, 267, 543, 519, 1239, 4843, 7361, 12211, 547, 891, 1004, 269, 19877, 338, 609, 513, 2582, 12653, 14241, 4274, 593, 2067, 1686, 6383, 8101, 9424, 540, 1239, 593, 1082, 3344, 540, 519, 14498, 540, 782, 4557, 929, 1493, 2249, 1336, 538, 1010, 1858, 267, 5812, 538, 3592, 782, 2665, 609, 1239, 4843, 538, 519, 3621, 3332, 24104, 754, 589, 3376, 7650, 540, 2686, 14498, 729, 9112, 3842, 519, 7694, 540, 1896, 2409, 547, 2445, 1239, 593, 7449, 14571, 2238, 563, 6637, 5722, 19776, 713, 1239, 18928, 609, 1239, 689, 519, 3370, 8733, 3332, 538, 1931, 547, 2708, 922, 9342, 543, 7687, 269, 1717, 267, 930, 540, 891, 1331, 18939, 540, 1004, 19497, 10362, 547, 8059, 12264, 3982, 2516, 543, 6451, 20276, 656, 1895, 902, 1869, 3221, 656, 538, 891, 12102, 4654, 563, 1103, 519, 2034, 1032, 540, 2361, 1382, 267, 11401, 1298, 1042, 1472, 513, 17122, 1895, 540, 1346, 1034, 8362, 10283, 267, 4352, 1930, 547, 782, 945, 24714, 547, 7390, 563, 6637, 3670, 5359, 519, 2164, 540, 513, 1576, 540, 11042, 609, 654, 777, 880, 3570, 21962, 593, 519, 14498, 540, 3662, 2249, 1336, 538, 4104, 269, 634, 5354, 540, 1239, 267, 543, 602, 540, 6574, 2956, 267, 729, 6592, 538, 11042, 269, 634, 9998, 2139, 1344, 7389, 1394, 547, 519, 11564, 540, 519, 5576, 4861, 4026, 330, 14552, 538, 519, 1101, 851, 540, 519, 476, 866, 628, 2540, 267, 6589, 540, 799, 1331, 1585, 17801, 4919, 7422, 5576, 4861, 4026, 330, 6902, 5576, 4861, 4026, 330, 20492, 540, 27478, 21962, 593, 645, 3530, 514, 6816, 941, 2111, 547, 2285, 2143, 6589, 540, 2242, 538, 11606, 543, 3892, 540, 1286, 756, 537, 936, 513, 1974, 540, 476, 3199, 1296, 563, 288, 2143, 2272, 540, 2802, 7224, 15605, 1670, 1031, 568, 538, 3184, 476, 277, 269, 2368, 8498, 22242, 941, 26906, 676, 2199, 20843, 267, 945, 12261, 519, 2164, 883, 2296, 269, 634, 589, 1067, 785, 1014, 2920, 267, 3184, 476, 3066, 540, 519, 5449, 11156, 540, 519, 6243, 540, 24053, 3570, 267, 729, 28715, 2390, 7810, 676, 519, 14905, 607, 513, 4062, 540, 22573, 540, 6805, 9082, 267, 9086, 1759, 2047, 2661, 909, 547, 11994, 563, 288, 3099, 540, 2409, 3177, 1239, 7282, 2199, 5784, 593, 5726, 269, 8422, 11031, 616, 17055, 538, 1804, 2338, 593, 519, 9381, 10750, 267, 538, 519, 4104, 539, 2127, 602, 9114, 1063, 519, 1292, 11175, 543, 6694, 7997, 593, 519, 2539, 10301, 540, 24053, 3570, 781, 2101, 8933, 543, 519, 8813, 602, 1665, 519, 10167, 540, 891, 8933, 609, 519, 6316, 540, 519, 24053, 3570, 13104, 2527, 604, 563, 288, 2143, 6476, 540, 2802, 7224, 1815, 1670, 1239, 593, 1585, 3662, 2249, 609, 8733, 1239, 689, 519, 3370, 3332, 568, 4843, 267, 543, 519, 6286, 540, 713, 585, 519, 1646, 540, 606, 7471, 1935, 616, 5941, 563, 4322, 13956, 5045, 883, 519, 681, 1575, 684, 27376, 5260, 20087, 338, 267, 4171, 7187, 851, 568, 20651, 5631, 676, 25120, 25775, 1004, 267, 519, 5045, 5260, 20087, 338, 1373, 13856, 676, 519, 654, 777, 880, 3570, 269, 1924, 2484, 519, 2078, 1063, 3621, 543, 2802, 7224, 1815, 1670, 1239, 593, 14498, 814, 711, 1044, 8499, 11567, 267, 4352, 971, 2090, 607, 723, 1044, 5342, 538, 713, 1858, 5693, 5815, 519, 14522, 8329, 14498, 267, 9153, 540, 971, 606, 1935, 563, 30356, 2534, 568, 849, 5059, 616, 4299, 519, 946, 540, 11566, 569, 593, 519, 676, 513, 4049, 3668, 540, 5032, 267, 543, 1034, 589, 1067, 785, 1014, 2950, 3255, 269, 901, 15109, 4540, 3156, 540, 2802, 7224, 1815, 1670, 1702, 538, 7449, 14571, 3184, 476, 279, 563, 310, 531, 614, 681, 1054, 849, 1500, 1382, 11564, 547, 519, 654, 777, 880, 3570, 538, 519, 1576, 540, 1010, 18487, 12220, 593, 519, 1570, 2528, 540, 2871, 1014, 3150, 589, 1067, 785, 1014, 9082, 681, 1054, 269, 1280, 1383, 267, 952, 519, 3312, 3758, 568, 968, 291, 1170, 10488, 29806, 268, 524, 342, 773, 868, 3555, 2593, 9232, 267, 26030, 2264, 786, 1711, 513, 3758, 971, 607, 968, 524, 342, 773, 868, 3555, 2593, 9232, 538, 1931, 563, 288, 16346, 4065, 607, 519, 6206, 547, 681, 22095, 2264, 10644, 2473, 514, 13198, 334, 3427, 540, 6355, 267, 9098, 3557, 2160, 267, 22642, 7921, 267, 22622, 267, 7330, 1627, 4176, 340, 700, 26820, 3427, 540, 6355, 267, 1280, 1383, 267, 952, 519, 3312, 3758, 568, 968, 322, 342, 773, 868, 3555, 2593, 5608, 26030, 2264, 786, 1711, 513, 3758, 971, 607, 563, 8698, 4530, 16721, 910, 14408, 297, 297, 3008, 20591, 306, 12224, 9569, 6363, 1400, 689, 29642, 700, 693, 2160, 540, 20144, 10440, 563, 4488, 16688, 2975, 12164, 10345, 12702, 27301, 2464, 5508, 645, 3918, 311, 3951, 10396, 5990, 700, 31631, 2177, 269, 20591, 306, 12224, 9569, 674, 2562, 3201, 12327, 4456, 2562, 9569, 634, 15569, 540, 519, 3803, 5933, 540, 519, 12031, 543, 1237, 10094, 23476, 616, 519, 5539, 540, 519, 2875, 779, 4081, 1770, 563, 1607, 1770, 949, 581, 513, 8257, 267, 513, 1153, 267, 610, 513, 11280, 10927, 1982, 1369, 513, 2852, 267, 8257, 267, 610, 1153, 269, 634, 966, 6387, 321, 2830, 2160, 21969, 3429, 28290, 12524, 630, 309, 308, 310, 3201, 264, 814, 6170, 811, 982, 1614, 5756, 3384, 1852, 1949, 585, 4359, 18951, 13841, 543, 11836, 3157, 563, 274, 31158, 1578, 906, 901, 5098, 1131, 711, 723, 1044, 2009, 1510, 519, 948, 540, 1250, 28643, 267, 15576, 686, 10127, 329, 531, 664, 523, 267, 4171, 19015, 267, 5583, 543, 1489, 689, 519, 3355, 547, 519, 3803, 1377, 13087, 803, 547, 1020, 606, 1620, 540, 519, 1641, 269, 594, 1131, 849, 899, 547, 9684, 1250, 1920, 543, 2828, 945, 6462, 803, 1282, 519, 12032, 540, 519, 1788, 6185, 1170, 10488, 325, 1400, 2703, 0, 289, 4900, 532, 3194, 18776, 18614, 676, 8191, 834, 310, 531, 10290, 267, 6276, 700, 4799, 763, 6356, 540, 670, 3739, 593, 962, 1752, 543, 10866, 540, 8000, 10633, 10111, 1782, 267, 5213, 661, 5919, 9546, 10290, 267, 6276, 700, 269, 630, 13070, 3472, 1116, 543, 32645, 15331, 13749, 267, 3427, 540, 11982, 543, 8092, 8249, 5004, 267, 2160, 540, 14522, 12876, 3316, 802, 267, 476, 1960, 271, 268, 6187, 264, 9199, 3431, 267, 20749, 6738, 12277, 616, 554, 2683, 538, 519, 2504, 4783, 1063, 11944, 543, 19479, 540, 519, 24588, 269, 670, 3739, 568, 2356, 12913, 609, 28283, 267, 30908, 15524, 12069, 267, 610, 2147, 2645, 602, 12740, 3037, 689, 1063, 9343, 543, 16005, 621, 22290, 543, 593, 1283, 540, 519, 4737, 269, 30258, 585, 554, 3739, 949, 1331, 281, 4824, 18290, 1852, 267, 4824, 12775, 267, 6922, 1436, 540, 3039, 532, 540, 8685, 619, 267, 543, 9870, 540, 3037, 5210, 269, 7743, 2359, 540, 1142, 540, 891, 2188, 949, 1267, 538, 606, 2333, 538, 2298, 543, 7274, 540, 16321, 6556, 269, 20134, 3344, 540, 554, 3739, 723, 849, 1044, 7074, 269, 590, 3530, 793, 320, 1696, 620, 269, 630, 3192, 277, 264, 4080, 602, 1216, 3892, 729, 19514, 896, 15837, 15113, 267, 4611, 538, 19514, 8244, 540, 1216, 547, 2371, 543, 2799, 2530, 540, 13226, 1813, 547, 30450, 269, 670, 3739, 4238, 949, 849, 3441, 15837, 2371, 267, 543, 1713, 20214, 538, 6556, 616, 1634, 547, 1267, 689, 554, 3739, 543, 824, 2010, 540, 14713, 630, 301, 15625, 543, 717, 3796, 267, 476, 2735, 277, 1040, 3509, 5010, 25210, 7227, 2394, 30676, 616, 476, 1321, 610, 811, 6279, 7381, 1354, 554, 3739, 269, 901, 20319, 568, 9053, 1317, 693, 713, 942, 519, 8594, 540, 8720, 2371, 568, 8766, 269, 1717, 267, 519, 30676, 540, 3677, 2371, 949, 2844, 3152, 3441, 689, 554, 3739, 982, 4130, 2371, 269, 4746, 267, 519, 7872, 540, 14124, 5072, 543, 588, 565, 976, 4679, 607, 519, 2371, 2333, 538, 2450, 267, 865, 972, 949, 581, 5383, 547, 554, 3739, 950, 2371, 616, 7820, 543, 4130, 269, 9050, 1114, 5574, 1519, 7648, 538, 942, 540, 554, 3739, 543, 4463, 540, 14629, 941, 3379, 609, 1100, 3620, 3739, 593, 2185, 8677, 540, 15837, 538, 519, 476, 2735, 279, 543, 476, 2735, 280, 3395, 12405, 269, 901, 1867, 3568, 513, 16861, 5758, 540, 1239, 6394, 689, 891, 2090, 563, 22546, 338, 540, 8000, 9914, 11905, 543, 18520, 715, 19153, 593, 8000, 6737, 962, 1752, 543, 10866, 538, 3162, 25218, 14522, 15030, 531, 10290, 267, 6276, 700, 5919, 717, 822, 331, 752, 267, 31434, 717, 5919, 16189, 714, 267, 4873, 661, 269, 630, 18662, 540, 11982, 543, 8092, 8249, 5004, 267, 16581, 543, 32645, 15331, 13749, 267, 476, 1960, 271, 268, 1321, 264, 9773, 6458, 630, 25519, 1070, 13101, 630, 300, 326, 1070, 543, 16247, 630, 306, 264, 616, 2838, 585, 519, 2208, 543, 1646, 540, 782, 2362, 2371, 269, 1358, 616, 4122, 5219, 547, 607, 6281, 5567, 1317, 789, 616, 1447, 1419, 12145, 547, 2030, 2208, 982, 519, 3119, 5567, 9436, 630, 301, 1070, 16903, 630, 303, 1070, 543, 11379, 630, 298, 1070, 4352, 6281, 5567, 616, 607, 2565, 585, 7693, 2208, 543, 1646, 607, 519, 3119, 5567, 269, 1703, 568, 3908, 1344, 2139, 7282, 6281, 8770, 4170, 540, 12277, 6738, 538, 5045, 25218, 14522, 269, 700, 2795, 4802, 630, 3422, 277, 264, 5342, 2090, 1063, 476, 3422, 272, 543, 476, 3422, 274, 9236, 11379, 17296, 630, 298, 5141, 264, 543, 11379, 23253, 630, 298, 273, 12569, 275, 264, 607, 11379, 2959, 585, 5682, 13738, 12277, 267, 543, 5462, 519, 2360, 540, 8795, 3928, 540, 13101, 23253, 630, 300, 326, 12569, 275, 264, 543, 918, 273, 12569, 275, 593, 8230, 928, 13069, 12277, 269, 4595, 891, 2090, 941, 5342, 1510, 12555, 543, 693, 2504, 2157, 827, 835, 28451, 1346, 5833, 676, 1283, 12696, 538, 519, 4223, 29104, 6390, 9503, 2221, 267, 621, 729, 2808, 3617, 547, 4228, 2390, 519, 3105, 960, 1210, 1699, 2504, 2853, 269, 8000, 9914, 729, 13859, 607, 918, 5141, 543, 918, 273, 14298, 275, 547, 2263, 519, 991, 585, 3606, 590, 896, 2199, 15837, 2504, 2175, 543, 547, 3313, 519, 2360, 540, 519, 17296, 630, 5141, 264, 543, 23253, 630, 12569, 275, 264, 606, 687, 593, 2504, 543, 2298, 540, 15837, 8685, 619, 269, 769, 1840, 267, 27002, 543, 6970, 941, 3773, 547, 3313, 2436, 519, 4282, 2157, 540, 891, 5567, 941, 7850, 585, 19993, 2504, 563, 22546, 338, 540, 14606, 674, 19910, 593, 8000, 6737, 7233, 4886, 538, 519, 4223, 29104, 6390, 9503, 310, 531, 10290, 267, 6276, 700, 5919, 717, 822, 331, 752, 267, 31434, 717, 5919, 16189, 714, 267, 4873, 661, 269, 630, 13070, 3472, 1116, 543, 32645, 15331, 13749, 267, 3427, 540, 11982, 543, 8092, 8249, 5004, 267, 2160, 540, 14522, 12876, 3316, 802, 267, 476, 1960, 271, 268, 6187, 264, 301, 22021, 19718, 543, 12214, 1646, 538, 15837, 2371, 723, 1044, 11567, 538, 2101, 15837, 3395, 4525, 267, 855, 13380, 2090, 723, 711, 1044, 5342, 538, 1164, 20173, 2127, 971, 607, 519, 15837, 6721, 6810, 540, 5045, 25218, 14522, 269, 11310, 540, 2030, 1646, 543, 8770, 15652, 532, 1851, 1585, 2030, 2694, 568, 1271, 1312, 538, 2474, 540, 2489, 1620, 540, 519, 2208, 6208, 540, 12277, 538, 513, 2189, 1604, 543, 585, 4824, 2359, 540, 2361 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 594, 2760, 2219, 1250, 13395, 1719, 538, 3504, 4654, 1131, 1291, 803, 547, 971, 606, 19278, 543, 24084, 2287, 1995, 269, 898, 782, 3323, 950, 594, 16686, 2390, 513, 4901, 827, 24758, 1585, 2453, 883, 1114, 4654, 593, 23749, 269, 2290, 3593, 11540, 513, 7662, 585, 948, 24758, 519, 4845, 834, 296, 729, 20938, 547, 5873, 519, 1267, 540, 2221, 781, 8917, 593, 519, 4961, 262, 11036, 1701, 1306, 513, 24158, 540, 23316, 543, 1686, 267, 2523, 5824, 543, 922, 18939, 899, 4936, 1014, 267, 594, 7948, 1405, 5706, 16403, 532, 538, 780, 5475, 3246, 519, 2953, 8144, 910, 834, 8649, 3456, 536, 1075, 1755, 338, 521, 26324, 2912, 556, 345, 738, 520, 592, 12911, 592, 14241, 632, 4230, 26324, 17844, 20008, 745, 538, 328, 388, 505, 9332, 10216, 524, 564, 26324, 385, 352, 523, 559, 528, 2437, 2059, 609, 930, 2796, 630, 553, 3838, 1657, 1070, 594, 4607, 513, 9670, 3210, 689, 1776, 4414, 323, 3218, 945, 8068, 1945, 8966, 538, 1250, 27024, 269, 1358, 4280, 952, 621, 1185, 1022, 4276, 547, 513, 2442, 1357, 1260, 545, 3126, 267, 799, 594, 1336, 993, 6748, 1317, 8197, 267, 621, 1705, 256, 3733, 27024, 729, 6273, 676, 835, 540, 519, 3197, 689, 519, 13371, 282, 2705, 267, 1034, 1004, 10924, 621, 5219, 547, 519, 811, 1455, 2495, 2404, 609, 1412, 338, 1097, 1492, 9538, 1284, 14678, 4448, 936, 938, 3838, 15131, 585, 519, 28031, 5652, 2228, 14816, 267, 3056, 721, 1312, 1524, 3965, 26738, 607, 649, 21523, 1027, 827, 12300, 8090, 543, 554, 559, 13895, 24362, 6050, 269, 3776, 6643, 17275, 7279, 1851, 824, 3755, 267, 543, 4166, 2614, 267, 649, 4646, 3833, 519, 2370, 2146, 1369, 519, 8142, 267, 4687, 24668, 543, 7234, 5172, 14501, 3735, 883, 519, 3781, 780, 3719, 1934, 2501, 519, 6397, 4729, 6335, 1107, 1247, 1666, 6362, 538, 713, 6727, 23274, 267, 594, 7691, 602, 972, 729, 606, 5571, 3542, 3823, 513, 1761, 838, 3626, 742, 1788, 1759, 593, 519, 1360, 1482, 1915, 4171, 2012, 1178, 1027, 1250, 27024, 269, 2561, 30068, 267, 11655, 941, 13359, 2436, 789, 4941, 519, 15888, 547, 4228, 519, 7122, 998, 2110, 2984, 10023, 713, 11537, 1268, 320, 269, 1215, 3078, 256, 4634, 1498, 594, 5030, 28870, 2066, 519, 1158, 267, 594, 5433, 16539, 538, 519, 6364, 1813, 547, 938, 9241, 8547, 3059, 31070, 780, 2026, 519, 2164, 18202, 538, 267, 10761, 4904, 519, 2011, 269, 10251, 267, 621, 8604, 899, 519, 5354, 20366, 1996, 13197, 519, 838, 3626, 742, 2856, 269, 1717, 267, 3079, 540, 15603, 29359, 694, 788, 538, 267, 3025, 3459, 23730, 4244, 2081, 547, 8661, 519, 1915, 781, 9371, 1510, 17596, 4013, 1543, 269, 14313, 24132, 689, 10178, 12279, 547, 1148, 862, 3827, 267, 1256, 2870, 796, 334, 24810, 8301, 5559, 553, 588, 18732, 891, 5432, 8188, 269, 769, 9759, 267, 938, 7104, 6612, 3826, 1117, 1272, 883, 519, 7872, 540, 7680, 811, 9035, 5473, 519, 1915, 649, 782, 19644, 865, 7184, 780, 1607, 3003, 12558, 6039, 607, 513, 12576, 602, 5103, 10923, 6302, 267, 2029, 6087, 721, 547, 1106, 4296, 12082, 538, 3838, 18653, 543, 2833, 269, 5678, 1565, 1522, 723, 7620, 4547, 721, 1927, 267, 855, 6038, 267, 621, 729, 938, 2648, 585, 5876, 267, 1582, 22325, 267, 543, 14120, 535, 24655, 2528, 602, 8087, 721, 896, 835, 5691, 8122, 269, 1656, 3884, 1405, 602, 1018, 2306, 2950, 5963, 2027, 286, 24531, 2186, 1042, 14326, 9624, 9583, 4351, 6381, 543, 8508, 694, 16781, 760, 640, 2898, 27329, 569, 269, 1924, 979, 6619, 267, 10880, 909, 7391, 1472, 707, 2189, 12348, 543, 4690, 1107, 596, 2760, 917, 1141, 789, 949, 1291, 256, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 2108, 9558, 17218, 519, 1739, 4845, 547, 4936, 1014, 912, 296, 729, 20938, 547, 5873, 519, 1267, 540, 2221, 781, 8917, 593, 519, 4961, 262, 11036, 780, 31718, 1014, 912, 8649, 3456, 536, 1075, 1755, 338, 521, 26324, 2912, 556, 345, 738, 520, 592, 12911, 592, 14241, 632, 4230, 26324, 17844, 20008, 745, 538, 328, 388, 505, 9332, 10216, 524, 564, 26324, 388, 505, 523, 559, 528, 780, 2750, 2364, 320, 388, 505, 773, 281, 589, 576, 770, 26324, 4412, 9926, 328, 388, 505, 773, 3331, 362, 333, 572, 600, 333, 26324, 524, 26324, 1086, 334, 3570, 1416, 642, 528, 2041, 388, 503, 974, 513, 3456, 7542, 7228, 26324, 524, 5889, 526, 513, 513, 29788, 556, 345, 738, 520, 592, 12911, 592, 14241, 964, 2181, 522, 4412, 684, 699, 9006, 527, 26324, 632, 3288, 522, 29546, 328, 1073, 328, 26535, 333, 14241, 388, 505, 328, 267, 740, 545, 26324, 524, 564, 26324, 388, 505, 523, 328, 269, 8330, 325, 601, 632, 4412, 684, 29800, 1494, 740, 10044, 5033, 333, 26324, 339, 19441, 476, 388, 503, 328, 267, 546, 659, 26324, 647, 660, 3997, 388, 505, 514, 1393, 632, 15273, 388, 505, 328, 522, 29546, 328, 267, 1494, 535, 328, 24101, 2224, 3288, 12911, 20008, 745, 513, 6430, 546, 659, 26324, 642, 528, 535, 328, 561, 10663, 3331, 362, 333, 2015, 732, 10487, 8356, 14325, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 1684, 711, 1376, 609, 5220, 899, 476, 834, 5629, 2390, 513, 942, 257, 607, 713, 568, 513, 14703, 2022, 543, 711, 513, 3209, 267, 596, 1058, 849, 2057, 4358, 609, 5929, 5220, 899, 834, 288, 1906, 1296, 3516, 257, 610, 834, 288, 1906, 1296, 1394, 2580, 581, 3860, 269, 0, 6092, 5149, 281, 4197, 654, 644, 340, 543, 13850, 639, 331, 13705, 1149, 538, 5771, 692, 8893, 20638, 281, 1635, 519, 1439, 540, 713, 3992, 267, 1053, 786, 581, 2111, 547, 2491, 519, 3268, 3238, 538, 530, 644, 340, 543, 575, 327, 639, 331, 267, 1174, 1946, 12356, 1685, 891, 12738, 267, 543, 5431, 741, 4644, 538, 519, 9099, 5132, 780, 7072, 912, 1103, 5771, 267, 27194, 568, 3810, 12595, 267, 1312, 9308, 543, 32375, 269, 5565, 1898, 2853, 602, 3895, 5289, 22729, 616, 530, 644, 340, 543, 575, 327, 639, 331, 269, 1452, 6411, 4125, 11067, 1808, 2694, 540, 519, 1560, 609, 1216, 543, 616, 5340, 1354, 32467, 610, 1310, 1978, 791, 675, 2175, 269, 2913, 781, 2263, 1018, 530, 644, 340, 543, 575, 327, 639, 331, 1611, 543, 875, 789, 3514, 883, 519, 3232, 6296, 540, 7332, 11755, 780, 4089, 476, 272, 281, 1548, 568, 654, 644, 340, 888, 310, 644, 340, 267, 849, 1634, 607, 705, 331, 1081, 267, 568, 513, 9161, 26349, 1184, 5473, 11067, 1880, 1560, 2694, 1210, 2973, 1216, 269, 901, 2259, 6663, 547, 5965, 13951, 15508, 543, 9308, 585, 17319, 19001, 630, 15680, 1695, 1070, 2542, 519, 20845, 267, 610, 11504, 3909, 19771, 780, 3721, 338, 540, 654, 644, 340, 1384, 272, 269, 2271, 550, 687, 281, 10670, 676, 1818, 513, 6857, 9837, 547, 1685, 530, 644, 340, 269, 5457, 267, 15752, 1404, 513, 4105, 1909, 538, 782, 3527, 538, 5771, 563, 273, 269, 11162, 572, 3946, 909, 547, 21389, 1235, 281, 4635, 4881, 1216, 267, 11547, 707, 3946, 1614, 2053, 267, 4358, 689, 707, 31840, 543, 3001, 4724, 707, 21015, 563, 274, 269, 681, 20600, 5023, 281, 6875, 513, 521, 760, 540, 1216, 267, 2220, 880, 621, 1472, 3330, 707, 5023, 267, 543, 838, 527, 621, 856, 269, 19244, 713, 1900, 1614, 2053, 563, 275, 269, 11162, 572, 19911, 337, 2812, 281, 700, 4774, 2879, 858, 1216, 883, 1142, 19911, 22567, 543, 1163, 601, 621, 9900, 269, 9524, 713, 2962, 4278, 823, 563, 276, 269, 25169, 3068, 281, 9255, 707, 27374, 593, 707, 30432, 543, 13248, 1216, 936, 873, 865, 602, 621, 10301, 707, 3003, 11132, 1858, 1063, 707, 10772, 543, 24060, 269, 1684, 713, 1900, 1614, 2053, 563, 277, 269, 22911, 3946, 1586, 281, 17776, 707, 6632, 3946, 547, 707, 3068, 543, 9900, 6299, 707, 581, 731, 952, 596, 723, 835, 269, 3550, 602, 1169, 18843, 4991, 5848, 2989, 563, 278, 269, 654, 6559, 2212, 281, 2422, 1152, 707, 1318, 1688, 547, 26763, 707, 2898, 2212, 267, 1519, 707, 10772, 267, 2899, 269, 6468, 949, 991, 547, 946, 513, 2370, 811, 1216, 2094, 4552, 6227, 741, 10772, 563, 279, 269, 25169, 7916, 281, 18786, 693, 519, 23969, 1212, 848, 267, 8499, 11547, 707, 2062, 15767, 267, 1519, 707, 3946, 267, 1614, 2053, 269, 5269, 2386, 1714, 28647, 1205, 19345, 7357, 563, 280, 269, 654, 6559, 3952, 281, 16959, 707, 3946, 4625, 543, 946, 873, 547, 26763, 707, 3952, 689, 19462, 547, 31623, 269, 2142, 2386, 547, 3382, 782, 2127, 1063, 707, 19462, 269, 9524, 713, 1900, 2899, 780, 3086, 602, 596, 917, 519, 5311, 1577, 781, 1847, 593, 547, 1620, 950, 530, 644, 340, 3587, 23380, 2439, 4089, 476, 273, 281, 1879, 1281, 654, 644, 340, 28161, 769, 20777, 888, 26807, 2238, 2736, 519, 1533, 540, 530, 644, 340, 267, 971, 607, 8429, 3154, 267, 11702, 267, 9991, 18069, 267, 9561, 9637, 267, 610, 2348, 15982, 1894, 269, 4495, 1022, 540, 891, 2049, 267, 12356, 1590, 10956, 519, 530, 644, 340, 5650, 1354, 759, 11167, 11755, 780, 4089, 476, 274, 281, 4985, 547, 13850, 639, 331, 910, 9509, 10610, 7581, 753, 532, 454, 294, 327, 639, 331, 267, 2495, 1412, 761, 783, 8602, 10086, 4016, 547, 2347, 1560, 21599, 538, 1216, 269, 6145, 530, 644, 340, 267, 575, 327, 639, 331, 5713, 547, 12492, 2168, 543, 5289, 19454, 855, 4422, 3564, 519, 2241, 957, 540, 705, 331, 1081, 269, 16930, 3871, 2154, 575, 327, 639, 331, 267, 899, 11264, 28689, 267, 27638, 267, 610, 4638, 26697, 780, 3721, 338, 540, 13850, 639, 331, 1384, 272, 269, 2271, 1549, 281, 3807, 607, 609, 530, 644, 340, 267, 25666, 513, 2312, 8247, 547, 1685, 575, 327, 639, 331, 563, 273, 269, 32449, 1216, 936, 707, 3003, 1560, 281, 5776, 896, 513, 17643, 3650, 610, 6445, 513, 8685, 609, 2614, 1216, 547, 21477, 613, 3054, 269, 3550, 782, 2694, 540, 519, 1560, 4309, 3346, 609, 1216, 267, 1519, 519, 4552, 543, 21435, 563, 274, 269, 11676, 12853, 610, 824, 7738, 8069, 281, 15233, 12853, 610, 1776, 3617, 6219, 547, 4894, 13897, 543, 17570, 689, 519, 2960, 269, 3973, 267, 27125, 1055, 8499, 563, 275, 269, 15937, 32092, 525, 281, 13159, 569, 27125, 2476, 1022, 6967, 21225, 2451, 3297, 676, 12853, 610, 7738, 2472, 563, 276, 269, 1401, 527, 519, 1216, 2707, 281, 23680, 519, 1216, 1247, 1869, 1373, 13533, 540, 4509, 27194, 780, 6962, 912, 9961, 713, 1576, 1770, 267, 649, 4121, 827, 1079, 4909, 3344, 540, 2123, 9882, 1369, 519, 9099, 5132, 1107, 530, 644, 340, 543, 575, 327, 639, 331, 269, 5637, 2853, 11168, 27194, 543, 3565, 3648, 547, 8600, 13951, 585, 10847, 543, 8220, 609, 2696, 269, 1306, 2104, 2518, 4961, 267, 1620, 3309, 2686, 2853, 2636, 721, 547, 5660, 938, 3604, 1732, 543, 6536, 2463, 1851, 1585, 2950, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 11321, 5846, 568, 606, 1271, 24182, 602, 1082, 2043, 1413, 4464, 547, 538, 741, 2729, 269, 9861, 9310, 547, 707, 9997, 22940, 666, 3142, 596, 10373, 7772, 543, 8788, 269, 1717, 267, 519, 3460, 2509, 513, 3811, 7365, 568, 711, 2141, 513, 5127, 540, 24712, 269, 898, 3340, 9639, 267, 14207, 267, 2792, 267, 543, 267, 1034, 11932, 267, 519, 26460, 540, 16589, 630, 14684, 307, 1916, 4537, 14508, 25697, 654, 1794, 604, 320, 568, 513, 3532, 1907, 602, 835, 666, 946, 547, 2307, 585, 16589, 779, 26460, 543, 5583, 538, 4466, 513, 15095, 1272, 7649, 269, 769, 713, 5816, 2022, 267, 649, 786, 1865, 930, 2500, 9328, 328, 25697, 654, 1794, 604, 320, 602, 666, 3142, 596, 6251, 547, 707, 16806, 1554, 543, 948, 596, 1628, 513, 3811, 7365, 563, 272, 269, 5589, 1746, 2672, 19207, 1325, 6363, 10620, 3873, 912, 306, 3120, 327, 1325, 6363, 10620, 3873, 568, 519, 6679, 3184, 540, 519, 10513, 20845, 543, 6585, 1713, 2956, 538, 9099, 3450, 269, 5589, 1746, 713, 2672, 19207, 609, 20174, 543, 5609, 1356, 640 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 25663, 28513, 316, 4168, 6468, 538, 17623, 4165, 18709, 454, 763, 1353, 540, 2021, 538, 1686, 5673, 593, 2348, 4977, 5638, 1869, 538, 6228, 2221, 269, 9282, 1152, 513, 1507, 2179, 540, 1344, 568, 2139, 267, 972, 616, 1869, 930, 1434, 1806, 540, 2021, 1282, 519, 476, 275, 628, 543, 476, 276, 628, 5553, 945, 25374, 585, 741, 3885, 1247, 849, 1373, 3238, 538, 741, 5939, 543, 1514, 1604, 269, 27270, 3883, 1107, 12339, 24100, 27387, 338, 676, 667, 10005, 22118, 333, 590, 1197, 766, 306, 1460, 6468, 540, 10312, 281, 3057, 3250, 320, 267, 14529, 3121, 267, 9253, 16492, 267, 2506, 17745, 807, 267, 3933, 3821, 267, 543, 6307, 8794, 519, 3177, 5750, 267, 1118, 513, 6476, 540, 891, 2021, 10503, 741, 25141, 1299, 1920, 267, 9483, 1299, 1514, 4567, 267, 20556, 609, 2696, 267, 3687, 31559, 1299, 18517, 269, 5475, 519, 5750, 267, 2347, 519, 1739, 281, 1432, 616, 519, 1455, 4162, 540, 1082, 540, 519, 4168, 2021, 945, 616, 15422, 1282, 713, 942, 540, 1686, 286, 630, 272, 268, 273, 9433, 264, 24718, 930, 540, 741, 1295, 31559, 543, 18517, 609, 2021, 2221, 269, 630, 272, 268, 273, 9433, 264, 4338, 288, 568, 711, 2838, 267, 855, 13400, 1489, 568, 4397, 585, 707, 4267, 269, 0, 288, 681, 4338, 568, 513, 7580, 3561, 609, 4052, 4566, 585, 2962, 269, 898, 4559, 856, 875, 606, 13539, 568, 22867, 547, 3565, 547, 21047, 609, 16971, 543, 8776, 637, 26463, 29474, 9082, 563, 763, 681, 4338, 5358, 2337, 4434, 519, 476, 276, 7516, 540, 21047, 676, 5885, 14540, 547, 1020, 16614, 3347, 543, 1711, 1713, 3255, 609, 16971, 543, 8776, 637, 26463, 29474, 9082, 563, 20370, 338, 616, 1818, 513, 3017, 2429, 5245, 538, 28737, 267, 9945, 267, 3506, 267, 2229, 543, 2146, 14540, 269, 901, 7104, 2962, 568, 2870, 519, 17501, 1604, 585, 16971, 543, 8776, 637, 26463, 29474, 9082, 547, 1569, 2226, 762, 7694, 543, 13055, 3255, 563, 7021, 513, 4627, 543, 8938, 29458, 11679, 2429, 5245, 2907, 723, 513, 681, 4338, 1107, 2705, 602, 3762, 1082, 476, 1911, 271, 779, 799, 616, 20866, 547, 1491, 713, 1900, 269, 6875, 513, 1413, 693, 782, 519, 14540, 27057, 7598, 741, 681, 4338, 338, 543, 7674, 547, 5397, 1689, 2429, 782, 9922, 543, 4525, 540, 5245, 563, 3963, 1020, 513, 681, 4338, 888, 20370, 338, 1683, 513, 11295, 267, 25422, 18931, 267, 6836, 543, 7318, 2203, 547, 707, 9036, 547, 6101, 1047, 19647, 547, 21047, 269, 1358, 4217, 547, 6536, 513, 2146, 540, 3838, 1871, 267, 3853, 543, 513, 3044, 1893, 950, 621, 3322, 21047, 563, 3528, 2870, 513, 681, 4338, 267, 707, 13539, 666, 16212, 1434, 15752, 883, 2318, 3527, 543, 581, 851, 540, 519, 7104, 2962, 585, 21047, 269, 901, 1797, 707, 715, 17025, 666, 581, 851, 540, 519, 3268, 4464, 2443, 8362, 7674, 547, 547, 1628, 2362, 3972, 267, 1990, 7568, 652, 328, 4905, 2539, 14882, 267, 543, 11506, 11348, 538, 16971, 543, 8776, 637, 26463, 29474, 4529, 563, 23804, 519, 681, 4338, 602, 779, 1318, 538, 707, 13539, 563, 2467, 616, 476, 275, 2010, 540, 681, 4338, 338, 585, 28737, 281, 14484, 267, 11627, 622, 267, 853, 4958, 577, 610, 29175, 622, 269, 901, 19752, 602, 972, 779, 513, 681, 4338, 2966, 547, 9290, 707, 13539, 693, 1169, 3942, 540, 922, 21047, 3460, 563, 8269, 937, 681, 4338, 1107, 2480, 14563, 21047, 454, 288, 19257, 2928, 681, 4338, 5693, 5036, 856, 519, 3268, 707, 13539, 786, 1491, 547, 9165, 543, 1020, 3347, 609, 16971, 543, 8776, 637, 26463, 29474, 8639, 267, 3313, 593, 707, 5075, 585, 21047, 543, 3605, 707, 12106, 540, 3310, 267, 4505, 982, 22867, 547, 1880, 3527, 610, 7341, 563, 2304, 11627, 622, 681, 4338, 14592, 3527, 602, 960, 2509, 8236, 707, 13539, 779, 10058, 5075, 585, 21047, 269, 8758, 906, 538, 713, 681, 4338, 1450, 707, 715, 17025, 547, 581, 8321, 1049, 543, 5499, 547, 4217, 707, 13539, 2744, 513, 4514, 1620, 540, 922, 12106, 540, 1860, 267, 543, 3715, 519, 1655, 1935, 547, 4434, 21047, 563, 292, 4582, 622, 681, 4338, 1107, 15557, 538, 21047, 454, 292, 4582, 622, 681, 4338, 14540, 723, 513, 3532, 7580, 2078, 609, 26532, 16624, 5245, 543, 8362, 22299, 7341, 547, 7668, 16971, 543, 8776, 637, 26463, 29474, 9082, 543, 1711, 6848, 1689, 269, 5029, 31907, 616, 10123, 2838, 547, 723, 2362, 11413, 543, 12477, 676, 1259, 540, 4830, 4879, 540, 741, 2238, 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 ]
[ 454, 273, 269, 3143, 2792, 4849, 3823, 1898, 1920, 6927, 692, 289, 269, 6356, 593, 2123, 3347, 692, 272, 269, 13809, 540, 2673, 2828, 543, 1489, 3060, 1369, 519, 30798, 454, 273, 269, 15783, 3929, 11605, 543, 8194, 4810, 676, 519, 771, 325, 749, 3298, 327, 5792, 1367, 543, 1010, 17017, 7525, 1920, 692, 290, 269, 25792, 21047, 543, 1224, 3939, 5773, 692, 272, 269, 23227, 908, 25442, 1065, 550, 766, 543, 1689, 538, 2623, 454, 273, 269, 10671, 20535, 513, 16324, 6217, 585, 2009, 5368, 8063, 618, 454, 274, 269, 19573, 531, 11808, 540, 22864, 2390, 3811, 5368, 8063, 618, 692, 9654, 269, 2552, 7337, 625, 543, 9880, 540, 771, 325, 749, 3298, 327, 6235, 692, 288, 269, 16723, 1764, 543, 1761, 2800, 692, 272, 269, 6452, 639, 725, 540, 5626, 12879, 543, 1852, 454, 273, 269, 31700, 827, 2790, 1072, 4220, 1851, 771, 325, 749, 3298, 327, 5792, 2043, 454, 274, 269, 29576, 689, 16895, 543, 2790, 1072, 4648, 692, 289, 269, 10313, 11143, 547, 695, 7342, 2853, 538, 824, 10764, 692, 272, 269, 5381, 885, 1063, 8614, 327, 990, 1695, 781, 654, 5893, 525, 262, 771, 325, 749, 3298, 327, 6235, 543, 2549, 880, 681, 4548, 7428, 320, 454, 273, 269, 20212, 538, 10335, 543, 8653, 3379, 547, 2372, 6033, 771, 1144, 618, 692, 290, 269, 13751, 2591, 543, 5480, 5947, 902, 692, 272, 269, 27418, 4101, 771, 325, 749, 3298, 327, 6235, 2853, 1759, 593, 5191, 540, 7681, 610, 4984, 454, 273, 269, 966, 776, 532, 4093, 4470, 593, 16278, 543, 1808, 6381, 692, 291, 269, 595, 8712, 585, 6963, 543, 20208, 692, 272, 269, 21909, 687, 585, 4244, 2409, 540, 5466, 13817, 2265, 1369, 519, 30798, 454, 273, 269, 21344, 8296, 267, 19807, 267, 543, 12477, 538, 30191, 9015, 692, 23997, 269, 7351, 9840, 543, 2104, 8846, 692, 288, 269, 744, 32054, 5717, 1472, 771, 325, 749, 3298, 327, 6235, 4507, 543, 4808, 692, 272, 269, 4676, 710, 906, 547, 7634, 3157, 543, 2963, 4170, 454, 273, 269, 22548, 5874, 593, 7829, 2665, 5473, 1295, 832, 610, 7925, 2043, 692, 289, 269, 11154, 532, 547, 4657, 6848, 8155, 543, 2418, 692, 272, 269, 18601, 9687, 5380, 593, 4008, 3961, 267, 4638, 10066, 267, 543, 7365, 454, 273, 269, 19484, 1950, 2152, 16109, 689, 2799, 3059, 14479, 543, 2228, 4527, 692, 290, 269, 23496, 1279, 3856, 6940, 543, 2208, 692, 272, 269, 16237, 28517, 13218, 609, 2199, 2950, 543, 5807, 2318, 6278, 454, 273, 269, 26472, 13784, 543, 4763, 1247, 30176, 11705, 337, 1400, 19454, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 306, 1460, 4079, 941, 7166, 4728, 476, 280, 267, 476, 1708, 274, 267, 538, 31297, 267, 5125, 267, 538, 1018, 7128, 4330, 607, 513, 968, 1090, 2457, 892, 1310, 606, 10543, 3909, 3028, 269, 11153, 1866, 941, 20754, 1282, 519, 4323, 693, 513, 8614, 327, 990, 1695, 779, 654, 5893, 4099, 267, 1572, 513, 8003, 8065, 267, 1519, 513, 4807, 945, 4503, 1200, 6379, 269, 634, 16143, 9496, 518, 729, 4080, 547, 581, 513, 5449, 4759, 540, 519, 3909, 1895, 563, 763, 4323, 814, 2322, 513, 1445, 593, 519, 3909, 1895, 267, 799, 814, 930, 476, 279, 2929, 2818, 2066, 476, 13301, 2477, 269, 769, 5125, 267, 811, 982, 476, 10204, 267, 1822, 8614, 327, 990, 1695, 779, 654, 5893, 525, 616, 2404, 609, 476, 273, 267, 22903, 7249, 2958, 725, 267, 2687, 547, 519, 3919, 779, 5638, 563, 1103, 1082, 2477, 267, 8614, 327, 990, 1695, 779, 654, 5893, 525, 616, 1634, 585, 741, 23793, 960, 267, 2469, 7450, 547, 7450, 610, 7555, 538, 1857, 2127, 547, 2119, 547, 15814, 3909, 1570, 269, 1809, 1082, 1004, 616, 14542, 609, 741, 4978, 267, 543, 950, 519, 1895, 2306, 24657, 267, 621, 568, 1419, 585, 4128, 1644, 547, 20655, 13383, 563, 3383, 945, 616, 789, 888, 763, 1650, 540, 8614, 327, 990, 1695, 779, 654, 5893, 525, 5956, 538, 519, 3735, 476, 866, 628, 2540, 2282, 29016, 267, 623, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23781, 24702, 1315, 8567, 1315, 8614, 327, 990, 1695, 781, 654, 5893, 525, 1315, 2598, 325, 749, 3298, 327, 6235, 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, 1012, 21290, 20615, 12515, 609, 5124, 692, 1103, 713, 1770, 267, 649, 786, 2263, 875, 547, 946, 5124, 547, 2203, 519, 3262, 540, 3676, 267, 849, 1634, 607, 2878, 788, 573, 12515, 1262, 269, 901, 568, 513, 4241, 1888, 602, 10905, 7350, 267, 6128, 267, 543, 2780, 2257, 2439, 2162, 20615, 12515, 543, 19556, 17738, 692, 2304, 2878, 788, 573, 2438, 1262, 568, 519, 4028, 3262, 540, 513, 2068, 538, 513, 2551, 269, 1677, 1174, 543, 3589, 519, 3262, 540, 3676, 267, 3744, 946, 2878, 3901, 3012, 673, 3631, 1262, 269, 1452, 3631, 946, 6310, 4834, 547, 2099, 875, 513, 2068, 19082, 543, 875, 1114, 2188, 666, 1860, 922, 3262, 780, 2162, 634, 590, 7644, 7844, 692, 3080, 540, 519, 14724, 543, 1034, 1134, 8153, 15435, 3631, 568, 519, 2878, 306, 7644, 2203, 1262, 269, 769, 713, 2203, 267, 513, 2551, 568, 5258, 883, 1614, 2516, 281, 2878, 306, 639, 1061, 1043, 1262, 630, 15161, 945, 666, 6952, 519, 2068, 1070, 2878, 1103, 2739, 539, 1262, 630, 15161, 945, 723, 519, 2068, 543, 666, 3262, 621, 1070, 543, 2878, 13434, 2642, 1262, 630, 15161, 945, 723, 1185, 519, 2068, 543, 616, 1631, 4761, 6393, 763, 590, 7644, 2203, 3096, 2878, 18528, 22460, 4834, 1262, 547, 4766, 875, 1004, 1847, 1063, 891, 2516, 936, 942, 269, 27018, 4834, 616, 6310, 4834, 602, 4766, 875, 513, 7274, 2242, 936, 942, 269, 769, 519, 590, 7644, 2203, 267, 519, 4834, 4766, 875, 519, 1297, 540, 11630, 267, 7783, 267, 543, 16626, 1004, 2242, 936, 942, 780, 2162, 5124, 543, 519, 590, 7644, 7844, 692, 2171, 666, 946, 5124, 547, 4194, 519, 11186, 4834, 538, 519, 590, 7644, 2203, 543, 14650, 519, 2164, 269, 901, 2636, 721, 547, 18082, 519, 3262, 540, 513, 2068, 543, 1294, 875, 1114, 2188, 666, 1860, 621, 780, 5575, 267, 1577, 781, 3888, 519, 2556, 8021, 269, 1284, 786, 991, 2387, 31596, 319, 585, 10230, 26398, 267, 2387, 2675, 27251, 319, 585, 6061, 11186, 4834, 267, 543, 2387, 3901, 15003, 319, 585, 3308, 1944, 519, 2164, 563, 3499, 7090, 454, 256, 26921, 3888, 11885, 1085, 27251, 21267, 454, 8199, 3086, 267, 1577, 781, 1104, 891, 8021, 563, 3499, 7090, 454, 5814, 11885, 607, 5286, 454, 5228, 1085, 27251, 269, 15759, 3433, 1104, 522, 1372, 842, 454, 5814, 21267, 28272, 607, 12301, 454, 8199, 2162, 634, 25124, 19336, 543, 3557, 26426, 692, 1103, 938, 5124, 3009, 267, 649, 786, 946, 606, 2878, 26529, 5119, 1262, 547, 2099, 519, 2557, 693, 799, 11630, 1004, 1831, 7783, 269, 901, 5119, 568, 513, 476, 273, 291, 5044, 1141, 1142, 3693, 4564, 519, 3968, 2557, 1063, 1079, 2516, 269, 1280, 1383, 267, 519, 3693, 693, 2990, 630, 328, 267, 795, 264, 4564, 519, 2557, 693, 799, 1004, 538, 1895, 1775, 3468, 1004, 538, 1895, 795, 780, 2171, 786, 849, 946, 513, 2878, 8063, 13849, 1262, 1843, 547, 4558, 1344, 827, 519, 2551, 267, 971, 607, 519, 2698, 1297, 540, 1004, 543, 519, 1297, 540, 1004, 538, 1142, 1895, 780, 1103, 938, 3009, 267, 649, 786, 946, 3252, 547, 5173, 519, 3968, 5119, 543, 1533, 13849, 269, 1452, 3252, 616, 711, 3254, 1934, 267, 855, 596, 666, 4952, 602, 789, 1491, 930, 6724, 630, 3697, 519, 3968, 2557, 543, 519, 2698, 2551, 264, 543, 2132, 519, 3968, 5119, 543, 1533, 13849, 563, 3499, 7090, 454, 8882, 318, 3901, 815, 3968, 24624, 6357, 9508, 267, 562, 10946, 267, 26571, 14352, 339, 3433, 19885, 340, 4917, 8063, 318, 5471, 320, 815, 1533, 318, 5471, 320, 6958, 15635, 3799, 10946, 267, 26571, 14352, 339, 3433, 19885, 340, 4917, 8199, 2162, 19630, 1944, 519, 19461, 17148, 692, 6524, 649, 666, 4194, 519, 11186, 4834, 267, 649, 991, 547, 14574, 519, 2878, 30976, 2175, 1262, 269, 1452, 616, 519, 1297, 540, 11630, 267, 7783, 267, 543, 16626, 1004, 693, 519, 1376, 540, 519, 11191, 780, 1103, 938, 3009, 267, 649, 786, 946, 3252, 547, 11126, 519, 3355, 2175, 269, 1452, 3252, 1491, 519, 3968, 5119, 543, 1533, 13849, 607, 3403, 543, 2132, 519, 20979, 3355, 2175, 269, 634, 2387, 9953, 4476, 5334, 332, 319, 1599, 5688, 3278, 519, 3355, 2175, 585, 513, 2878, 4944, 1348, 518, 2861, 1262, 4640, 267, 1141, 649, 1376, 609, 513, 1507, 1297, 540, 7783, 1004, 945, 3262, 519, 2068, 269, 634, 2387, 9953, 4476, 6958, 14269, 319, 1599, 5688, 3278, 519, 3355, 2175, 585, 513, 2878, 16766, 2861, 1262, 4640, 267, 1141, 649, 1376, 609, 513, 1507, 1297, 540, 7783, 1004, 538, 1142, 1895, 269, 634, 2387, 30976, 1125, 319, 1599, 3355, 3278, 519, 3355, 2175, 585, 513, 2878, 12690, 1262, 4640, 267, 1141, 649, 1376, 609, 513, 1507, 1297, 540, 7783, 1004, 6074, 14477, 563, 3499, 7090, 454, 22668, 815, 476, 1015, 1262, 8987, 273, 2020, 8243, 318, 306, 267, 325, 14269, 318, 306, 815, 11126, 5334, 332, 263, 22668, 267, 8063, 318, 5471, 320, 994, 8243, 318, 293, 267, 325, 14269, 318, 293, 267, 318, 815, 11126, 6958, 14269, 263, 22668, 267, 1102, 318, 3901, 267, 1533, 318, 5471, 320, 994, 8243, 318, 305, 267, 325, 14269, 318, 305, 815, 3355, 1125, 263, 8063, 318, 5471, 320, 267, 3355, 5091, 3748, 284, 22668, 2020, 8181, 8548, 777, 815, 27835, 4944, 1348, 619, 9166, 263, 8243, 318, 306, 267, 325, 14269, 318, 306, 13211, 2018, 1412, 25364, 9166, 263, 8243, 318, 293, 267, 325, 14269, 318, 293, 13211, 2018, 1412, 12690, 9166, 263, 8243, 318, 305, 267, 325, 14269, 318, 305, 264, 8679, 8199, 2162, 14572, 519, 27018, 12307, 692, 3086, 602, 649, 723, 519, 3355, 2175, 267, 649, 666, 4194, 519, 11186, 4834, 269, 1284, 786, 946, 519, 2387, 1712, 842, 319, 1599, 689, 519, 2387, 2675, 27251, 269, 15759, 3433, 319, 9074, 547, 798, 713, 269, 901, 1599, 3217, 519, 11186, 4834, 267, 519, 3355, 2175, 267, 543, 519, 942, 2798, 693, 799, 547, 4194, 519, 4834, 269, 898, 7024, 519, 3070, 540, 519, 4834, 693, 519, 9138, 942, 2798, 780, 1103, 938, 3009, 267, 649, 786, 4194, 519, 11186, 4834, 585, 1614, 2994, 281, 2878, 4944, 1348, 619, 1262, 267, 2878, 25364, 1262, 267, 543, 2878, 12690, 1262, 269, 1280, 1142, 4640, 267, 649, 786, 4729, 519, 1297, 540, 7783, 1004, 936, 942, 563, 3499, 7090, 454, 339, 815, 5286, 7456, 1231, 10628, 263, 271, 25722, 10946, 267, 1911, 271, 994, 29798, 815, 9598, 10797, 1721, 4640, 538, 18358, 4944, 1348, 619, 12887, 25364, 12887, 12690, 11172, 912, 825, 1159, 267, 325, 14269, 815, 2332, 8548, 777, 314, 1598, 1538, 344, 2639, 825, 642, 815, 24609, 4433, 332, 267, 325, 14269, 267, 8063, 318, 5471, 320, 994, 825, 642, 11355, 815, 522, 1372, 842, 263, 19066, 6958, 1752, 267, 341, 25722, 267, 16911, 14352, 8882, 318, 3901, 267, 8063, 318, 5471, 320, 4917, 825, 594, 11355, 815, 11713, 825, 585, 642, 538, 642, 11355, 912, 1038, 1159, 267, 325, 14269, 815, 796, 29788, 1084, 17635, 267, 8063, 318, 5471, 320, 994, 1038, 594, 11355, 6910, 263, 272, 5991, 335, 27904, 4433, 332, 265, 326, 332, 4917, 825, 2164, 314, 1598, 1538, 344, 316, 815, 594, 11355, 454, 825, 12301, 19502, 6025, 267, 296, 11355, 267, 16932, 284, 1598, 1538, 344, 994, 10823, 269, 5586, 754, 4590, 10823, 20481, 4590, 8199, 2162, 30540, 519, 11778, 692, 7661, 267, 649, 786, 4688, 519, 2164, 540, 938, 11191, 269, 1284, 786, 946, 519, 2387, 335, 1157, 548, 319, 9074, 547, 798, 713, 269, 901, 9074, 2636, 721, 547, 4688, 5124, 3615, 630, 3697, 938, 2164, 264, 547, 513, 3758, 543, 4452, 873, 2663, 563, 3499, 7090, 454, 5976, 1930, 3488, 32220, 323, 520, 270, 8993, 1015, 4671, 11391, 318, 5271, 334, 4877, 330, 3299, 1412 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 630, 7078, 1131, 581, 5969, 513, 4806, 593, 18981, 610, 676, 1688, 1287, 11423, 609, 513, 11954, 3134, 20293, 547, 2285, 519, 21903, 602, 621, 781, 538, 26792, 4700, 14332, 2906, 267, 2261, 638, 4479, 267, 543, 6512, 532, 616, 1434, 1806, 540, 4847, 538, 26792, 538, 713, 16311, 563, 1607, 729, 711, 2965, 513, 5850, 2022, 547, 519, 22386, 1544, 2093, 855, 519, 2832, 540, 519, 2022, 729, 547, 2285, 930, 2653, 543, 1863, 22386, 2093, 547, 519, 3988, 269, 1403, 596, 723, 930, 942, 547, 7038, 3054, 543, 849, 8348, 547, 1039, 930, 1007, 8631, 547, 707, 11647, 596, 666, 1491, 1022, 2856, 689, 519, 1592, 543, 1376, 2324, 593, 621, 269, 2142, 2386, 547, 1294, 1312, 2022, 5850, 543, 3381, 18862, 540, 519, 1544, 596, 723, 5697, 267, 621, 786, 1118, 596, 1174, 3388, 23182, 563, 1607, 568, 711, 4010, 513, 5850, 267, 855, 513, 3391, 547, 930, 2731, 3579, 22386, 3785, 269, 4014, 649, 616, 711, 3450, 596, 547, 1118, 4376, 267, 649, 616, 2141, 1934, 547, 948, 269, 18461, 1863, 547, 2307, 707, 14511, 538, 519, 8292, 538, 2013, 952, 596, 3068, 1022, 3390, 1247, 2324, 593, 1022, 540, 891, 3785, 269, 4746, 267, 2995, 721, 875, 1454, 596, 17329, 713, 2376, 269, 9894, 596, 2972, 2542, 621, 286, 9894, 596, 960, 593, 1022, 540, 891, 3785, 267, 543, 952, 9811, 267, 875, 729, 707, 1995, 286, 1411, 616, 849, 10950, 547, 2671, 1022, 2592, 540, 707, 6192, 3574, 1740, 3785, 563, 16449, 2038, 9060, 540, 11308, 2645, 616, 519, 5249, 16853, 689, 17833, 14781, 22484, 267, 1849, 716, 517, 6823, 4149, 20660, 543, 2274, 327, 2590, 523, 269, 634, 884, 1513, 689, 5576, 7238, 940, 523, 630, 30051, 264, 1683, 930, 540, 519, 1101, 1806, 540, 11308, 10122, 10591, 269, 4469, 842, 2645, 941, 1031, 585, 26002, 269, 4595, 32665, 2053, 267, 20077, 11308, 8043, 616, 1634, 267, 585, 1383, 267, 689, 519, 12430, 8000, 6670, 2528, 19401, 693, 918, 6686, 1188, 327, 1993, 523, 543, 661, 2814, 571, 563, 27269, 2053, 693, 1101, 16145, 513, 4604, 5654, 2786, 543, 519, 1249, 602, 621, 568, 2965, 6367, 539, 610, 814, 930, 2112, 4771, 3884, 1406, 2141, 6654, 269, 1924, 519, 8945, 547, 6616, 585, 2386, 267, 568, 547, 3180, 519, 4604, 909, 2509, 707, 3068, 267, 609, 519, 824, 1439, 593, 519, 2666, 267, 543, 1413, 693, 621, 693, 513, 18746, 5086, 630, 553, 3254, 538, 519, 2630, 8666, 1040, 901, 1505, 786, 1450, 596, 547, 1294, 952, 621, 568, 6367, 532, 693, 782, 269, 0, 289, 4953, 9898, 700, 4353, 5058, 8946, 4629, 308, 21203, 11682, 22076, 12903, 281, 30684, 303, 5058, 681, 7417, 293, 19419, 6579, 296, 9970, 23166, 590, 25492, 4149, 303, 4488, 9281, 2975, 661, 4596, 299, 8104, 13965, 11123, 4488, 3008, 4811, 11123, 2910, 305, 3201, 8946, 2207, 300, 3201, 31031, 8577, 454, 302, 4117, 6323, 666, 581, 1031, 547, 2087, 519, 1620, 540, 2825, 5222, 593, 14147, 18625, 267, 26655, 3664, 547, 18359, 18625, 543, 547, 2844, 9381, 11615, 676, 8497, 11818, 5117, 2533, 269, 26365, 2566, 568, 606, 5571, 2168, 3463, 547, 18625, 267, 607, 14754, 676, 7839, 6926, 2286, 5829, 9019, 538, 476, 1001, 275, 543, 476, 1001, 276, 269, 24035, 338, 616, 849, 896, 2604, 689, 824, 2168, 543, 6915, 613, 12950, 21500, 971, 607, 2244, 2861, 5533, 267, 5836, 3679, 2305, 267, 4389, 10009, 267, 543, 7088, 3441, 269, 28055, 338, 547, 9793, 519, 5916, 2360, 540, 891, 21500, 6799, 513, 4101, 2359, 9183, 269, 1975, 520, 6053, 8763, 2257, 910, 8051, 585, 1883, 2199, 2934, 910, 666, 948, 547, 1445, 5464, 267, 2359, 267, 543, 1382, 585, 5483, 3375, 1818, 269, 634, 4589, 946, 4274, 1949, 547, 10332, 9946, 547, 8733, 5222, 593, 18625, 543, 21996, 269, 834, 292, 1723, 1150, 4751, 338, 257, 7048, 593, 513, 2241, 5836, 6323, 2203, 693, 2999, 1911, 544, 6571, 267, 10128, 13837, 331, 3233, 7851, 609, 1071, 32242, 22822, 1239, 585, 4365, 267, 5836, 2762, 267, 543, 8514, 7190, 269, 8693, 267, 4365, 267, 543, 1480, 2534, 5397, 1082, 21500, 282, 855, 693, 519, 4336, 540, 18625, 267, 5836, 2762, 2531, 7149, 13260, 538, 4262, 2837, 267, 1216, 11544, 543, 10009, 269, 1530, 2378, 331, 3233, 3178, 543, 9386, 6961, 1883, 538, 17782, 1312, 4262, 2837, 26037, 543, 3444, 268, 872, 325, 1216, 5385, 267, 543, 20716, 2283, 539, 8514, 7190, 666, 2087, 2837, 543, 536, 5460, 545, 1769, 11236, 269, 11778, 1397, 875, 1239, 5610, 267, 5841, 4987, 267, 543, 513, 2241, 2203, 666, 2087, 4879, 543, 12605, 540, 3448, 6043, 1063, 11818, 4609, 1369, 513, 16278, 563, 24836, 1067, 267, 700, 269, 808, 1421, 2160, 540, 24543, 595, 8379, 3008, 267, 7330, 267, 18078, 17106, 11333, 3820, 454, 295, 754, 2465, 267, 808, 269, 595, 1421, 30857, 5025, 6865, 299, 267, 7330, 267, 4757, 11333, 2593, 454, 1320, 15106, 267, 715, 269, 645, 1421, 8419, 4659, 540, 7909, 2762, 267, 7330, 267, 18078, 17106, 11333, 3820, 454, 293, 2280, 7815, 267, 623, 1421, 2160, 540, 8419, 910, 8419, 7256, 16827, 5441, 5358, 267, 7330, 267, 4757, 11333, 2593, 454, 303, 19948, 568, 2016, 676, 2875, 281, 3143, 0, 1607, 729, 513, 4436, 17189, 1295, 601, 11691, 5106, 676, 519, 1769, 2267, 16014, 715, 14660, 333, 6199, 630, 1724, 5130, 476, 3707, 276, 1916, 5475, 606, 11552, 1203, 995, 1974, 538, 21785, 7297, 267, 593, 476, 2767, 4989, 476, 3707, 274, 715, 14660, 333, 6199, 8977, 539, 23902, 341, 1731, 585, 4436, 7297, 3842, 2558, 1180, 8583, 543, 267, 1310, 21945, 538, 918, 1408, 593, 476, 274, 2904, 267, 729, 1287, 3144, 538, 1688, 585, 1200, 12227, 547, 581, 936, 3873, 27968, 269, 2991, 713, 519, 960, 1185, 1044, 6192, 693, 513, 942, 3735, 538, 2904, 267, 519, 1769, 2267, 16014, 729, 8655, 547, 519, 17189, 2866, 27805, 1258, 538, 519, 27397, 7256, 269, 634, 17149, 4908, 540, 12284, 2242, 1631, 6854, 519, 6928, 693, 513, 1360, 1970, 1533, 540, 22026, 267, 543, 1498, 1352, 7283, 538, 713, 10279, 998, 476, 3707, 275, 267, 1352, 4718, 1100, 2962, 269, 2701, 729, 711, 8655, 547, 519, 13272, 10514, 731, 618, 4559, 602, 6462, 519, 1427, 11661, 4436, 2244, 4229, 593, 519, 8109, 13571, 267, 7429, 1034, 540, 519, 2866, 27805, 1258, 779, 824, 9635, 563, 4263, 519, 1376, 540, 476, 3707, 276, 267, 715, 14660, 333, 6199, 729, 8655, 547, 1295, 601, 11691, 10279, 538, 519, 4787, 16925, 752, 689, 519, 1759, 693, 14642, 5979, 538, 13026, 16157, 267, 543, 689, 1934, 6192, 1152, 835, 1295, 601, 11691, 5106, 267, 607, 1412, 307, 7978, 594, 3299, 593, 476, 1724, 5130, 269, 634, 824, 17189, 4559, 8655, 547, 519, 5106, 3769, 1079, 6861, 619, 267, 1079, 8731, 6244, 334, 16996, 267, 543, 513, 1295, 601, 9707, 282, 715, 14660, 333, 6199, 9887, 5645, 476, 9873, 15183, 269, 27275, 4492, 22520, 15286, 1022, 2417, 4238, 563, 4002, 476, 2190, 5130, 267, 715, 14660, 333, 6199, 1500, 513, 2110, 8574, 547, 519, 5045, 547, 3914, 10515, 32683, 538, 4436, 268, 31039, 16862, 267, 1141, 1352, 7283, 2394, 519, 1439, 540, 519, 2112, 607, 1352, 1185, 1152, 476, 17734, 9748, 540, 10991, 4492, 538, 1200, 536, 6064, 619, 269, 2201, 476, 276, 2904, 476, 3707, 276, 267, 1352, 4607, 519, 24044, 13933, 1931, 267, 543, 593, 476, 2420, 2904, 267, 1079, 3703, 9635, 630, 1492, 5230, 2267, 16014, 8061, 976, 10921, 543, 1769, 4550, 25101, 8154, 2267, 16014, 9894, 334, 8452, 547, 8263, 1852, 540, 715, 14660, 333, 6199, 269, 0, 28074, 547, 519, 10982, 599, 540, 2825, 2516, 630, 528, 267, 8449, 23710, 4601, 267, 1223, 621, 581, 547, 741, 6010, 532, 267, 607, 513, 1630, 517, 585, 2508, 24597, 286, 1070, 1489, 585, 519, 5518, 779, 13068, 4787, 625, 11036, 568, 3395, 563, 25748, 267, 519, 772, 2529, 269, 10985, 540, 2904, 832, 267, 519, 2817, 5948, 540, 4032, 625, 267, 543, 1883, 1827, 832, 538, 519, 3162, 543, 4639, 9307, 741, 25380, 585, 519, 1544, 267, 799, 786, 3142, 3152, 5434, 20214, 18334, 543, 811, 10464, 569, 982, 519, 4567, 28943, 269, 8616, 3007, 540, 3735, 814, 5059, 593, 519, 11162, 5794, 12020, 2920, 630, 320, 21993, 18502, 269, 968, 1492, 2961, 704, 3915, 25257, 21246, 958, 1317, 621, 814, 1044, 16363, 676, 930, 547, 581, 519, 968, 7116, 4733, 892, 4244, 547, 13068, 4787, 625, 267, 602, 621, 779, 630, 684, 9418, 2065, 264, 11503, 543, 4626, 564, 1963, 616, 519, 968, 332, 1497, 2666, 2223, 543, 8754, 811, 20833, 10694, 563, 1607, 20208, 5098, 568, 6566, 2213, 267, 585, 519, 1034, 851, 267, 593, 519, 3448, 3790, 1063, 519, 1079, 12014, 269, 589, 865, 10777, 968, 292, 5183, 2079, 892, 540, 519, 2961, 704, 3915, 5950, 538, 2904, 1700, 6518, 267, 16113, 267, 729, 3533, 15739, 323, 1243, 676, 519, 8116, 3294, 1700, 13195, 6353, 676, 930, 547, 1611, 602, 267, 607, 835, 2923, 17752, 2322, 621, 267, 968, 8114, 2722, 1131, 9247, 1294, 513, 30050, 2333, 538, 922, 2698, 1942, 540, 5665, 1379, 2371, 982, 896, 519, 17312, 1544, 1848, 898, 729, 849, 6353, 602, 519, 2910, 273, 8060, 538, 519, 2961, 704, 3915, 968, 611, 4765, 1152, 513, 13581, 1942, 2333, 547, 2872, 3034, 293, 16898, 281, 634, 2961, 704, 3915, 267, 3448, 547, 13068, 4787, 625, 267, 568, 4376, 855, 9793, 267, 543, 538, 1249, 1131, 20818, 1713, 3790, 593, 4213, 543, 519, 4346, 563, 6097, 547, 513, 9241, 5950, 1353, 676, 519, 6052, 6176, 10029, 630, 292, 8656, 1070, 799, 3379, 13068, 4787, 625, 609, 2961, 704, 267, 519, 3790, 2404, 609, 7598, 13068, 4787, 625, 1063, 476, 1220, 276, 543, 476, 1708, 276, 1131, 2887, 2110, 540, 1269, 1839, 5479, 269, 1635, 4334, 267, 20327, 540, 519, 1942, 540, 519, 2961, 704, 3915, 267, 896, 519, 1034, 2693, 9183, 6594, 267, 1397, 3790, 540, 827, 1269, 7176, 5479, 936, 519, 1482, 1974, 269, 2334, 779, 827, 1269, 272, 267, 1822, 829, 7622, 267, 543, 2185, 2053, 607, 1454, 607, 13068, 4787, 625, 563, 2252, 602, 3017, 3884, 1406, 20310, 2614, 267, 661, 8656, 849, 1336, 602, 267, 896, 606, 4244, 9183, 267, 519, 2961, 704, 3915, 779, 3902, 11090, 1223, 2196, 607, 1164, 607, 1269, 8182, 5479, 267, 610, 3670, 543, 835, 28451, 2053, 607, 1454, 607, 13068, 4787, 625, 563, 14294, 909, 547, 519, 5274, 15638, 20394 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2237, 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, 7689, 20638, 281, 4197, 6182, 520, 3363, 543, 14506, 998, 519, 30776, 540, 13221, 692, 8702, 547, 938, 3408, 540, 14696, 543, 8086, 256, 4653, 649, 786, 1451, 827, 891, 1271, 2035, 676, 2921, 513, 6251, 1413, 693, 13221, 267, 835, 540, 519, 1158, 781, 9510, 543, 4102, 10764, 269, 1284, 4465, 1405, 581, 1565, 827, 1022, 10971, 610, 15831, 525, 2221, 1317, 13221, 3884, 1405, 5059, 593, 1346, 4978, 269, 5502, 267, 1577, 781, 3605, 875, 1004, 2259, 14696, 543, 8086, 538, 741, 3232, 2729, 2687, 547, 713, 2189, 4984, 780, 1432, 568, 13221, 888, 2411, 13430, 289, 3291, 11297, 3459, 1472, 476, 273, 267, 4335, 1296, 3516, 950, 513, 812, 3957, 590, 1342, 9618, 15925, 717, 2246, 4821, 3323, 15819, 1946, 972, 729, 865, 1454, 1928, 543, 7092, 538, 519, 1158, 269, 2991, 10478, 585, 4267, 543, 1199, 23550, 896, 513, 3529, 585, 2395, 267, 646, 6913, 21481, 12544, 2620, 1620, 540, 4641, 543, 519, 1259, 1919, 5963, 616, 269, 3245, 1287, 593, 267, 590, 1342, 9618, 15925, 2968, 1634, 607, 519, 17700, 630, 6518, 1797, 968, 1492, 32570, 539, 835, 26158, 1261, 6170, 519, 1964, 540, 1010, 1272, 3450, 1866, 827, 1010, 4030, 543, 4543, 873, 1265, 6418, 4708, 780, 763, 9050, 32201, 18266, 338, 454, 2411, 21387, 4263, 519, 2295, 540, 13221, 9114, 519, 9050, 32201, 18266, 338, 269, 1452, 18408, 2232, 519, 1966, 540, 7092, 543, 1683, 5583, 593, 875, 547, 2661, 513, 6209, 1272, 269, 2913, 781, 2736, 1524, 1142, 15626, 5168, 912, 272, 269, 5020, 3322, 7092, 1107, 901, 3085, 1406, 1611, 602, 1169, 4090, 568, 11213, 267, 855, 2864, 602, 782, 3425, 1995, 7965, 899, 2530, 267, 29359, 267, 543, 4250, 2429, 741, 2729, 563, 273, 269, 22206, 1359, 2501, 689, 6159, 1324, 1107, 1879, 649, 1616, 1978, 1919, 610, 2833, 1932, 1454, 267, 649, 7985, 952, 649, 1810, 1406, 1205, 873, 269, 1280, 1383, 267, 1373, 13347, 950, 596, 2731, 4941, 4672, 8645, 855, 707, 3237, 1767, 1100, 563, 274, 269, 1703, 568, 513, 2619, 547, 1439, 7092, 1107, 1635, 1739, 519, 20640, 19507, 11202, 267, 649, 666, 2569, 938, 26351, 543, 6038, 3247, 7092, 563, 275, 269, 634, 20640, 19507, 11202, 5012, 547, 519, 1439, 540, 7092, 1107, 901, 2619, 5161, 540, 5216, 3268, 5473, 7326, 267, 5683, 2932, 267, 543, 2790, 9015, 780, 8269, 22162, 593, 3776, 589, 2388, 454, 10900, 7042, 1103, 13221, 267, 10452, 593, 938, 3527, 2337, 721, 5431, 3270, 602, 1522, 2014, 2800, 547, 6000, 610, 1866, 269, 1677, 798, 713, 267, 6844, 327, 1235, 1419, 946, 1018, 789, 1289, 519, 12866, 2776, 32383, 1765, 7666, 573, 3894, 585, 2713, 31719, 269, 1358, 616, 912, 272, 269, 3502, 4929, 2800, 547, 2713, 7919, 454, 273, 269, 3502, 27560, 454, 274, 269, 28552, 19969, 543, 9319, 6013, 454, 275, 269, 2806, 560, 8724, 689, 4638, 13817, 2265, 454, 276, 269, 4676, 20995, 689, 883, 13877, 1218, 602, 1223, 1291, 547, 1416, 16531, 692, 3528, 3206, 7184, 827, 891, 840, 32383, 267, 649, 1831, 811, 3222, 540, 938, 2623, 543, 922, 1764, 593, 519, 1158, 1472, 721, 269, 898, 7512, 721, 547, 1397, 14696, 585, 3388, 649, 723, 1247, 20678, 547, 957, 24963, 2509, 1866, 780, 8469, 2787, 543, 24238, 454, 10900, 13430, 288, 2629, 2460, 540, 8026, 13221, 568, 9066, 269, 3414, 9361, 23900, 543, 2519, 593, 7362, 610, 824, 3615, 267, 649, 5721, 938, 8186, 547, 13404, 1732, 269, 2405, 527, 2209, 849, 2119, 547, 11349, 11009, 1765, 7424, 4628, 7722, 543, 1459, 538, 8726, 2534, 789, 616, 3257, 780, 19865, 281, 6657, 6182, 520, 3363, 543, 14506, 454, 14343, 14945, 3086, 621, 781, 942, 585, 596, 547, 4019, 930, 540, 891, 3741, 256, 6056, 827, 1945, 596, 1745, 18507, 585, 267, 971, 607, 2348, 513, 1920, 267, 2828, 267, 610, 1256, 1175, 11981, 513, 4190, 1554, 3544, 269, 3767, 2328, 1524, 1614, 2081, 596, 666, 2769, 707, 14696, 585, 713, 3364, 269, 8921, 267, 2015, 875, 596, 949, 723, 3361, 2800, 5063, 267, 2901, 17543, 610, 16662, 1549, 958, 269, 3503, 1524, 1079, 1507, 2242, 596, 666, 1118, 547, 2061, 713, 2800, 3001, 4464, 269, 5457, 267, 4742, 811, 13533, 540, 938, 4555, 543, 3527, 2636, 721, 547, 1332, 607, 2043, 543, 1628, 6793, 4296, 609, 1346, 1472, 721, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 3269, 307, 20044, 514, 6022, 15879, 1862, 320, 3406, 585, 454, 307, 20044, 514, 6022, 15879, 267, 4535, 607, 667, 1014, 324, 31473, 267, 568, 513, 12021, 5375, 14418, 562, 684, 945, 814, 6131, 1200, 1272, 547, 13221, 269, 2701, 568, 519, 1101, 5375, 19716, 13166, 3921, 7134, 607, 513, 14418, 562, 684, 543, 1851, 519, 1101, 1906, 14418, 2021, 547, 723, 25189, 513, 15398, 5289, 4567, 676, 7836, 12964, 1296, 538, 18956, 538, 513, 13946, 538, 519, 22615, 28569, 269, 6022, 15879, 814, 834, 18478, 513, 12247, 547, 12492, 21481, 538, 519, 4775, 1106, 1100, 2339, 875, 1082, 3076, 564, 1307, 621, 3217, 1701, 2701, 814, 13991, 543, 14894, 539, 1200, 1272, 547, 3895, 519, 6560, 585, 2021, 781, 1582, 22523, 267, 1582, 22190, 26150, 267, 543, 5289, 21481, 563, 6944, 9009, 547, 1034, 10764, 267, 13221, 568, 519, 1152, 2101, 5289, 543, 3909, 3350, 711, 1759, 593, 2696, 269, 6844, 327, 1235, 3494, 602, 2696, 568, 513, 10151, 3239, 602, 6818, 538, 513, 1480, 2247, 267, 799, 666, 581, 4957, 543, 12012, 269, 4475, 267, 621, 568, 2808, 796, 3772, 547, 1491, 9675, 543, 3494, 538, 519, 2219, 540, 2696, 269, 634, 17700, 11363, 519, 2956, 540, 7231, 609, 1018, 6818, 538, 1272, 267, 1775, 4318, 269, 519, 7092, 543, 544, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 294, 7806, 3363, 543, 14506, 257, 607, 851, 540, 834, 32628, 1315, 4168, 12389, 1315, 8061, 10899, 4750, 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, 513, 4241, 1158, 540, 2575, 543, 1686, 256, 5620, 596, 2479, 9289, 1018, 621, 781, 899, 3330, 513, 4583, 2575, 9754, 286, 2913, 781, 7832, 593, 606, 16494, 3460, 547, 835, 540, 519, 1034, 6909, 4025, 910, 519, 9576, 9142, 540, 8535, 7467, 538, 5507, 269, 901, 1747, 814, 930, 5863, 11580, 602, 649, 2811, 9599, 547, 2671, 609, 596, 2439, 5331, 6972, 883, 513, 4055, 4904, 609, 16782, 689, 1472, 519, 1158, 269, 2311, 713, 9754, 267, 891, 16782, 5749, 1405, 4154, 11113, 610, 31394, 9925, 1564, 282, 789, 2811, 4190, 7574, 7405, 267, 10475, 6054, 267, 543, 9159, 4773, 540, 11247, 4448, 547, 15999, 2984, 827, 2575, 543, 12372, 269, 1306, 513, 8049, 24413, 267, 596, 1205, 547, 10625, 891, 6456, 8941, 543, 1174, 875, 2575, 814, 7960, 936, 5553, 1318, 1354, 707, 4064, 2439, 4131, 803, 6338, 596, 547, 930, 9058, 3615, 538, 519, 9754, 1384, 272, 269, 2878, 288, 15329, 514, 28546, 1280, 589, 10348, 5093, 7324, 519, 1082, 10875, 7405, 267, 972, 781, 835, 2027, 30413, 1572, 1412, 309, 328, 2714, 328, 608, 5174, 16078, 9538, 5994, 8066, 1945, 602, 729, 18705, 676, 519, 19416, 561, 3578, 1512, 630, 7474, 781, 513, 16681, 2262, 585, 1412, 24825, 514, 20536, 10807, 3957, 21293, 853, 2784, 19041, 1394, 538, 476, 10204, 280, 256, 4634, 16830, 982, 602, 267, 713, 1360, 6293, 729, 694, 1066, 12184, 585, 9039, 824, 982, 10348, 21322, 4165, 334, 6839, 974, 9887, 256, 3807, 4605, 2576, 4730, 6653, 23964, 2523, 585, 28370, 1107, 530, 578, 256, 2052, 596, 4952, 799, 8964, 1522, 723, 1044, 5129, 286, 9320, 1256, 15885, 2813, 1175, 585, 1200, 286, 1548, 1131, 1346, 3280, 899, 2221, 2496, 273, 269, 2878, 294, 559, 6975, 543, 590, 29229, 781, 9457, 12328, 5093, 5457, 950, 594, 5018, 4505, 827, 10475, 6054, 286, 4270, 267, 1934, 781, 1776, 9735, 4062, 540, 1686, 7996, 585, 721, 547, 3605, 269, 1703, 781, 513, 5299, 540, 519, 3312, 6060, 2854, 676, 1079, 13085, 9543, 5443, 3957, 31408, 543, 590, 29229, 585, 741, 1134, 8153, 22968, 11331, 1412, 763, 631, 1731, 5964, 8339, 6056, 540, 782, 519, 1004, 945, 723, 2938, 610, 5340, 713, 1404, 2429, 942, 269, 1215, 1082, 1114, 2081, 1223, 789, 723, 23475, 519, 1482, 1913, 543, 4967, 286, 27355, 1405, 621, 10578, 875, 1945, 865, 2025, 1869, 6770, 7772, 543, 6667, 547, 9118, 5159, 543, 9458, 7567, 2496, 274, 269, 2878, 24523, 3414, 5384, 5093, 4438, 938, 3643, 267, 649, 849, 7237, 1585, 2010, 540, 7405, 1031, 1279, 3516, 269, 2290, 1383, 568, 606, 476, 1240, 628, 10601, 3771, 1186, 747, 867, 269, 17451, 4862, 540, 29732, 610, 20787, 691, 286, 1358, 5206, 2575, 4481, 5921, 585, 713, 3504, 13691, 6293, 269, 16514, 3054, 6947, 547, 835, 540, 741, 25704, 1373, 9900, 4547, 1394, 547, 1272, 998, 513, 2661, 17431, 269, 6496, 333, 1405, 621, 1745, 899, 19480, 883, 513, 9589, 942, 3684, 1141, 1686, 10742, 5876, 2496, 2026, 649, 3802, 1472, 519, 9754, 267, 649, 2743, 5363, 2875, 10274, 11235, 547, 2671, 1187, 5013, 543, 2626, 2055, 827, 3388, 649, 1294, 269, 1452, 25981, 2104, 12372, 7390, 519, 9576, 9142, 540, 8535, 3294, 267, 1818, 873, 3501, 4663, 14609, 625, 945, 917, 13907, 827, 1312, 519, 9754, 543, 519, 9872, 781, 3638, 6561, 780, 4517, 7058, 1018, 286, 3776, 7045, 3085, 1405, 1439, 16280, 256, 1284, 1265, 856, 602, 519, 9754, 14747, 15813, 1863, 2621, 899, 30145, 543, 15872, 1930, 547, 3025, 269, 1924, 1310, 3695, 519, 26847, 267, 649, 1522, 1256, 6952, 513, 2773, 15386, 909, 7146, 268, 5765, 15421, 10114, 3293, 1369, 519, 30028, 6821, 269, 5808, 6487, 267, 6148, 14693, 4166, 649, 3513, 5544, 513, 5432, 3068, 7900, 593, 3942, 610, 2870, 12300, 2575, 7044, 2439, 3528, 9683, 519, 9576, 9142, 540, 8535, 7467, 12303, 610, 9308, 267, 596, 1932, 1831, 851, 540, 713, 5571, 1650, 14120, 519, 1379, 540, 2575, 2066, 5481, 269, 3767, 3884, 1405, 602, 606, 22539, 1259, 547, 5660, 519, 5898, 540, 2575, 543, 1686, 5916, 286, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 19350, 616, 476, 276, 4128, 1946, 519, 9576, 9142, 540, 8535, 7467, 538, 5507, 568, 513, 1590, 585, 2575, 18798, 2336, 272, 269, 16731, 519, 9576, 9142, 540, 8535, 7467, 547, 2263, 2189, 7405, 267, 22251, 543, 1148, 267, 543, 3605, 3297, 7308, 27214, 25333, 2984, 689, 519, 2136, 8003, 779, 9510, 11122, 6737, 790, 563, 273, 269, 769, 8628, 26847, 543, 10151, 10525, 267, 8436, 786, 1294, 5182, 3688, 971, 607, 519, 2048, 309, 328, 2714, 328, 608, 5174, 16078, 685, 476, 10204, 280, 30413, 676, 21293, 853, 2784, 19041, 2899, 5129, 547, 10348, 21322, 4165, 334, 6839, 974, 267, 31408, 543, 590, 29229, 779, 3312, 6060, 585, 2048, 763, 631, 1731, 5964, 8730, 543, 513, 29503, 6121, 25869, 689, 519, 3689, 2622, 2782, 563, 274, 269, 1411, 666, 1451, 827, 519, 1909, 519, 9142, 543, 922, 620, 30282, 723, 5129, 538, 7574, 1646, 585, 5176, 476, 1220, 1296, 267, 543, 5310, 5873, 513, 2661, 19922, 17431, 540, 606, 476, 1240, 628, 2540, 3771, 1186, 747, 867, 563, 275, 269, 634, 7874, 20155, 32113, 1218, 616, 9142, 1053, 945, 786, 2995, 596, 811, 827, 519, 10525, 543, 2911, 827, 741, 2090, 693, 519, 9142, 563, 276, 269, 634, 9576, 9142, 540, 8535, 7467, 5781, 6585, 1863, 1857, 7574, 543, 11000, 2621, 267, 544, 2224, 6231, 8620, 606, 2502, 543, 3015 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9436, 4586, 30606, 281, 10318, 1588, 540, 2139, 16903, 538, 3037, 630, 302, 3149, 523, 1696, 620, 1421, 476, 4198, 275, 994, 15703, 2409, 616, 1031, 585, 519, 8990, 540, 2139, 16903, 538, 11934, 563, 23744, 1079, 2409, 616, 4122, 1031, 269, 634, 744, 3149, 839, 1505, 630, 302, 3149, 523, 1696, 620, 1421, 476, 4198, 275, 264, 568, 1031, 585, 454, 928, 23018, 543, 22279, 3037, 1141, 607, 519, 4858, 903, 1505, 630, 289, 2001, 543, 918, 4669, 345, 267, 476, 3707, 276, 264, 568, 1031, 585, 3679, 454, 1103, 744, 3149, 839, 1505, 2139, 16903, 538, 3037, 568, 13939, 676, 24373, 519, 3037, 609, 476, 271, 269, 276, 454, 300, 9770, 22833, 12365, 622, 3070, 14661, 693, 9063, 476, 279, 269, 276, 538, 519, 4527, 540, 11023, 1723, 717, 268, 2568, 630, 7617, 25309, 454, 4134, 11825, 539, 5214, 2339, 543, 2337, 538, 4758, 2312, 1349, 1040, 1912, 6664, 11501, 538, 519, 1349, 568, 5701, 454, 5976, 16139, 1756, 544, 8432, 321, 11845, 267, 799, 2164, 538, 519, 5250, 540, 10636, 30496, 23838, 454, 263, 874, 6664, 558, 8432, 321, 11845, 1040, 634, 8485, 558, 8432, 321, 11845, 568, 4389, 676, 519, 946, 540, 10965, 743, 273, 630, 320, 4227, 8665, 1916, 18814, 547, 713, 5786, 267, 930, 540, 7720, 277, 32504, 529, 10736, 547, 7720, 274, 32504, 267, 543, 1950, 17648, 519, 454, 19990, 7990, 269, 634, 8515, 540, 4544, 7990, 5833, 666, 581, 6027, 693, 476, 32133, 16354, 15423, 593, 513, 454, 306, 1051, 5268, 582, 10309, 267, 24373, 3684, 267, 598, 673, 1166, 2532, 267, 2019, 636, 13011, 1166, 2532, 267, 10398, 8291, 267, 7893, 454, 1097, 331, 5407, 267, 1187, 6773, 3092, 563, 272, 269, 476, 271, 269, 276, 631, 9770, 22833, 12365, 622, 2433, 6875, 8308, 476, 5655, 575, 540, 10878, 295, 4596, 274, 543, 23271, 538, 30341, 454, 4248, 543, 1118, 519, 4320, 835, 1396, 516, 269, 17797, 519, 9063, 540, 713, 3070, 547, 476, 279, 269, 276, 9063, 609, 476, 272, 454, 273, 269, 11023, 1723, 8566, 476, 2568, 610, 15181, 23315, 630, 874, 6664, 11501, 1863, 1916, 274, 269, 2549, 3000, 1756, 544, 8432, 321, 11845, 476, 272, 269, 276, 260, 2433, 19837, 9876, 476, 1428, 575, 540, 16139, 1756, 544, 8432, 321, 11845, 538, 476, 4968, 16720, 540, 454, 342, 1301, 30341, 1216, 630, 12671, 476, 2004, 476, 271, 290, 1040, 31207, 519, 7848, 267, 952, 2556, 543, 1450, 621, 547, 454, 322, 944, 269, 3973, 1039, 476, 31079, 16720, 540, 13671, 670, 5141, 7930, 676, 1193, 2590, 621, 269, 667, 559, 1393, 547, 835, 1396, 516, 454, 5976, 30341, 1216, 563, 275, 269, 853, 2335, 748, 17296, 630, 18450, 3070, 2567, 19837, 9876, 476, 1015, 575, 540, 10965, 5141, 273, 538, 476, 1839, 16720, 13671, 670, 5141, 454, 663, 1039, 513, 4062, 540, 17646, 1287, 3002, 621, 11489, 621, 3587, 2312, 269, 15188, 713, 3070, 538, 513, 993, 828, 454, 276, 269, 11554, 3070, 540, 853, 2335, 748, 17296, 281, 6875, 476, 272, 269, 271, 16720, 6006, 3070, 540, 10965, 5141, 273, 543, 1118, 454, 5780, 16720, 609, 30341, 1216, 563, 277, 269, 9208, 3070, 540, 16903, 2433, 6875, 476, 271, 269, 275, 4375, 575, 540, 589, 10611, 269, 918, 295, 273, 17269, 275, 630, 8576, 12015, 693, 476, 2412, 476, 271, 290, 994, 663, 23271, 538, 827, 3368, 513, 1396, 516, 30341, 1216, 269, 5410, 547, 713, 476, 1839, 16720, 476, 278, 715, 670, 273, 12569, 275, 543, 454, 24708, 519, 4320, 593, 2148, 609, 30341, 1216, 269, 901, 3947, 476, 1911, 28327, 623, 630, 1911, 8406, 623, 829, 454, 7093, 6768, 513, 476, 272, 269, 271, 28327, 623, 3070, 676, 2921, 476, 273, 269, 276, 16720, 540, 476, 1911, 28327, 3070, 538, 476, 7742, 16720, 2019, 636, 13011, 454, 4148, 2532, 543, 1118, 922, 4320, 609, 30341, 1216, 269, 1677, 5965, 519, 3044, 7455, 540, 1114, 454, 935, 1417, 1674, 529, 540, 623, 267, 1491, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 267, 476, 279, 267, 476, 280, 543, 476, 1015, 16720, 540, 476, 272, 269, 271, 28327, 3070, 538, 476, 1839, 16720, 454, 14179, 636, 13011, 1166, 2532, 543, 1246, 519, 5650, 585, 1646, 540, 7990, 607, 2016, 585, 3732, 543, 454, 24708, 519, 4320, 476, 1839, 16720, 269, 1452, 786, 2270, 476, 271, 269, 6860, 267, 476, 271, 269, 5400, 267, 476, 271, 269, 1321, 267, 476, 271, 269, 1626, 267, 476, 271, 269, 736, 267, 476, 271, 269, 2190, 267, 476, 271, 269, 2764, 267, 476, 271, 269, 3953, 267, 476, 271, 269, 3607, 454, 663, 476, 271, 269, 2412, 28327, 623, 267, 6606, 269, 4746, 5965, 513, 10145, 1510, 4946, 918, 295, 273, 17269, 275, 3070, 269, 634, 454, 1348, 902, 616, 3144, 593, 4715, 5268, 582, 10309, 693, 476, 32133, 16354, 15423, 269, 634, 7455, 568, 28367, 2921, 519, 454, 338, 1051, 5268, 582, 10309, 2542, 593, 7299, 7852, 543, 2179, 540, 623, 538, 28327, 593, 8880, 7852, 563, 272, 269, 6875, 476, 276, 575, 540, 3037, 883, 513, 476, 7742, 16720, 598, 673, 1166, 2532, 543, 1039, 513, 2370, 2179, 540, 16903, 1863, 454, 273, 269, 5410, 476, 1911, 16720, 540, 476, 271, 269, 276, 631, 10878, 295, 4596, 274, 3070, 883, 519, 1166, 2532, 543, 21199, 519, 598, 1017, 1166, 2532, 585, 454, 1789, 3764, 593, 513, 7344, 695, 6033, 563, 274, 269, 31207, 519, 20022, 998, 513, 1548, 2006, 3143, 269, 476, 5655, 6882, 1957, 543, 1491, 476, 276, 16720, 620, 1172, 582, 540, 454, 1492, 1349, 538, 513, 476, 1839, 16720, 2019, 636, 13011, 1166, 2532, 563, 275, 269, 5410, 476, 276, 16720, 540, 16139, 1756, 544, 8432, 321, 11845, 3070, 543, 513, 2370, 7274, 540, 30341, 1216, 543, 454, 3333, 820, 519, 9115, 540, 519, 2019, 636, 13011, 1166, 2532, 563, 276, 269, 5410, 476, 272, 16720, 540, 2324, 10965, 5141, 273, 3070, 538, 1142, 476, 1839, 16720, 2019, 636, 13011, 1166, 2532, 543, 1118, 519, 454, 14179, 2541, 15399, 334, 476, 1839, 16720, 609, 30341, 1216, 543, 21199, 1134, 563, 277, 269, 12763, 519, 10141, 339, 766, 540, 519, 3070, 23295, 1369, 476, 276, 547, 476, 736, 3764, 1310, 519, 454, 611, 1288, 540, 10965, 5141, 273, 3070, 593, 476, 32133, 16354, 15423, 538, 513, 4715, 5268, 582, 10309, 610, 1210, 2699, 454, 16344, 614, 21890, 1777, 14805, 5184, 2681, 9014, 563, 278, 269, 30027, 3585, 2196, 513, 10145, 1510, 3037, 1739, 519, 1482, 5650, 543, 1491, 519, 454, 25332, 969, 725, 543, 9819, 454, 272, 269, 13379, 540, 3037, 3144, 815, 476, 276, 575, 454, 273, 269, 11730, 540, 476, 271, 269, 276, 631, 10878, 295, 4596, 274, 3144, 815, 476, 1911, 16720, 454, 274, 269, 1325, 1172, 582, 540, 1349, 3144, 815, 476, 276, 16720, 454, 275, 269, 15937, 4320, 540, 1349, 815, 476, 1839, 16720, 630, 5475, 7990, 1646, 994, 276, 269, 4715, 5268, 582, 10309, 2542, 540, 3037, 3732, 815, 2473, 454, 277, 269, 4715, 5268, 582, 10309, 2542, 540, 10145, 3732, 815, 962, 454, 278, 269, 28327, 623, 5833, 689, 3113, 676, 1210, 2473, 815, 2098, 272, 454, 279, 269, 28327, 623, 5833, 689, 3113, 676, 1210, 962, 815, 2098, 273, 454, 288, 1998, 762, 623, 630, 11899, 270, 3873, 264, 815, 2098, 272, 19053, 273, 2473, 476, 1911, 630, 546, 8807, 4700, 2473, 476, 273, 269, 2190, 454, 13510, 9005, 623, 273, 302, 276, 630, 11899, 270, 3873, 264, 815, 2098, 272, 19053, 273, 1535, 476, 1911, 630, 323, 8807, 4700, 2473, 476, 273, 269, 2190, 1535, 476, 273, 269, 3066, 454, 24127, 540, 1349, 656, 3144, 15937, 4320, 540, 1349, 454, 323, 8807, 269, 815, 10900, 9339, 268, 2473, 476, 14343, 8894, 26574, 540, 3037, 11730, 540, 1349, 3144, 454, 273, 269, 2190, 815, 23586, 3815, 585, 14291, 28327, 883, 4846, 270, 3873, 454, 273, 269, 3066, 815, 23586, 3815, 585, 14291, 623, 538, 547, 623, 273, 302, 276, 454, 272, 269, 2422, 16903, 1863, 15181, 23315, 543, 952, 711, 1863, 1287, 11547, 621, 609, 32561, 670, 5141, 454, 339, 650, 621, 3587, 623, 1863, 267, 799, 666, 581, 7318, 676, 4946, 8392, 558, 8432, 321, 323, 545, 3679, 543, 454, 560, 2335, 748, 17296, 547, 519, 12974, 3433, 269, 2561, 30970, 540, 4544, 7990, 2982, 519, 4527, 540, 623, 563, 273, 269, 1403, 12974, 3433, 568, 711, 7990, 1652, 1287, 1039, 811, 11023, 1723, 717, 268, 2568, 21199, 543, 6882, 1586, 563, 274, 269, 18610, 2324, 3070, 540, 10965, 5141, 273, 1058, 581, 5423, 693, 519, 942, 540, 1646, 540, 454, 3712, 712, 538, 623, 1349, 563, 275, 269, 16680, 519, 2542, 711, 1354, 476, 276, 3764, 543, 711, 2663, 982, 476, 736, 3764, 1310, 454, 31141, 540, 7990, 563, 276, 269, 7335, 1058, 581, 3144, 693, 476, 32133, 16354, 610, 1210, 2699, 6882, 563, 11328, 13133, 566, 540, 2164, 281, 28951, 540, 3037, 1759, 593, 2139, 16903, 538, 3037, 3732, 563, 13510, 9005, 623, 630, 11899, 270, 3873, 264, 12232, 623, 273, 302, 276, 630, 11899, 270, 3873, 264, 14606, 12773, 454, 1015, 476, 2537, 8899, 454, 1015, 268, 736, 476, 2537, 268, 5379, 23839, 454, 736, 476, 5379, 4400, 454, 4910, 738, 281, 634, 2139, 16903, 4567, 540, 519, 3037, 568, 1366, 955, 4846, 1315, 688, 267, 4061, 3037, 568, 28612, 734, 8894, 30606, 2433, 10318, 1588, 540, 2139, 11379, 538, 3037, 630, 300, 1115, 517, 267, 476, 4198, 277, 994, 1103, 2489, 2139, 11379, 2882, 5385, 762, 543, 1216, 19729, 11379, 538, 454, 810, 2812, 4849, 602, 540, 29649, 610, 29649, 268, 7091, 545, 11934, 269, 12232, 918, 568, 5462, 676, 25935, 519, 3037, 454, 2421, 24373, 609, 715, 9243, 16139, 1756, 21449, 622, 3070, 269, 634, 16139, 1756, 12274, 5372, 11379, 454, 687, 12842, 593, 519, 3037, 2458, 6950, 563, 263, 17686, 1355, 264, 918, 266, 1341, 8863, 274, 4596, 2177, 295, 275, 630, 322, 3326, 1355, 264, 19760, 275, 454, 266, 1341, 8863, 274, 2910, 10498, 454, 763, 16759, 540, 11379, 538, 519, 1349, 568, 5645, 856, 609, 519, 948, 540, 18723, 454, 14503, 877, 2584, 10309, 267, 24373, 3684, 267, 598, 673, 1166, 3696, 267, 2019, 636, 13011, 1166, 2532, 267, 10398, 8291, 267, 581, 6033, 2676, 272, 269, 715, 9243, 16139, 1756, 21449, 622, 3070, 2433, 6875, 476, 10384, 16720, 540, 30341, 1216, 538, 513, 835, 1396, 516, 454, 14179, 636, 13011, 1166, 2532, 269, 5410, 476, 6872, 16720, 540, 30961, 1035, 2045, 3679, 630, 4200, 269, 276, 8472, 543, 1287, 1039, 476, 7597, 16720, 540, 454, 935, 1417, 3603, 16139, 1756, 28355, 269, 667, 559, 1393, 621, 547, 827, 476, 12010, 16720, 543, 4188, 519, 9063, 693, 476, 278, 269, 271, 454, 2421, 4946, 476, 274, 715, 19760, 275, 15121, 610, 476, 274, 715, 8863, 274, 2910, 15121, 543, 1118, 909, 547, 835, 1396, 516, 269, 898, 666, 849, 581, 454, 2181, 335, 1563, 676, 4744, 6295, 476, 6507, 269, 6860, 575, 540, 16139, 1756, 21449, 622, 538, 476, 12010, 16720, 540, 30341, 1216, 543, 454, 611, 3286, 519, 9063, 693, 476, 278, 269, 271, 676, 4946, 19760, 275, 15121, 610, 8863, 274, 4596, 15121, 607, 2838, 543, 1118, 519, 454, 14179, 2541, 835, 1396, 516, 563, 273, 269, 9208, 3070, 281, 19837, 9876, 476, 272, 269, 11011, 575, 8121, 3446, 918, 5141, 538, 30341, 1216, 543, 1118, 519, 454, 14179, 2541, 835, 1396, 516, 269, 901, 3070, 3568, 476, 1911, 271, 8406, 298, 13624, 1775, 4318, 269, 476, 1911, 271, 28327, 918, 563, 274, 269, 11554, 3070, 540, 918, 2433, 6875, 476, 1015, 16720, 540, 476, 1911, 271, 28327, 918, 3070, 538, 476, 1911, 16720, 2019, 636, 13011, 454, 4148, 2532, 543, 1118, 519, 4320, 269, 901, 786, 2270, 476, 1911, 28327, 918, 563, 272, 269, 6875, 476, 276, 575, 3037, 538, 476, 5611, 16720, 598, 673, 1166, 2532, 454, 273, 269, 5410, 476, 1839, 16720, 715, 9243, 16139, 1756, 21449, 622, 3070, 543, 21199, 585, 476, 276, 3764, 593, 513, 695, 6033, 563, 274, 269, 31207, 519, 9115, 998, 513, 1548, 2006, 3143, 269, 476, 272, 6882, 1957, 543, 7947, 1101, 1906, 12772, 540, 454, 275, 269, 16376, 519, 12974, 3433, 547, 18723, 2584, 10309, 1310, 2556, 4259, 543, 23363, 540, 519, 454, 276, 269, 4746, 2196, 513, 10145, 1510, 3037, 1210, 519, 1482, 5650, 563, 27609, 566, 540, 4441, 454, 5804, 519, 476, 1911, 28327, 3070, 1491, 476, 1015, 267, 476 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2171, 5000, 596, 543, 707, 1053, 547, 13686, 707, 4928, 3785, 693, 713, 1032, 781, 12655, 8235, 6019, 12876, 593, 3047, 4303, 267, 11728, 267, 4989, 476, 2420, 267, 476, 1708, 275, 269, 901, 568, 606, 5140, 1259, 547, 585, 707, 1053, 547, 4159, 741, 960, 267, 3060, 609, 835, 1776, 267, 543, 2744, 3407, 6881, 1983, 563, 28716, 519, 20885, 12876, 2985, 547, 1451, 811, 563, 11754, 7675, 519, 5539, 585, 2825, 7816, 607, 2043, 267, 5238, 267, 543, 14078, 454, 8794, 519, 23408, 543, 6575, 547, 1732, 1174, 519, 4644, 540, 6940, 543, 2916, 1689, 538, 8235, 6019, 454, 8698, 532, 2916, 1689, 998, 519, 5030, 23800, 540, 8235, 6019, 7264, 454, 11947, 2775, 532, 2199, 6940, 7341, 454, 19102, 2084, 4656, 540, 6940, 998, 2773, 1299, 14266, 454, 8777, 1645, 2950, 538, 6940, 998, 11925, 267, 3785, 1299, 5717, 454, 2750, 600, 1456, 519, 1764, 540, 6940, 593, 4683, 2127, 538, 8235, 6019, 454, 18698, 6940, 538, 519, 4928, 454, 3721, 476, 272, 281, 11814, 782, 3785, 270, 4103, 547, 581, 7604, 1078, 689, 707, 1053, 269, 7490, 1118, 2386, 602, 596, 5531, 519, 1739, 1344, 912, 763, 2140, 540, 519, 1788, 563, 763, 2407, 2012, 540, 519, 2875, 543, 741, 9053, 21770, 563, 763, 2875, 781, 4757, 267, 6049, 1297, 267, 543, 2232, 563, 11243, 540, 1576, 267, 1576, 1297, 267, 543, 14357, 2012, 563, 288, 476, 273, 268, 274, 4845, 12092, 267, 1519, 519, 2875, 781, 2012, 267, 2816, 2140, 630, 528, 2101, 1070, 543, 513, 5618, 6609, 540, 707, 4282, 269, 1411, 949, 1331, 1344, 971, 607, 1141, 596, 2661, 538, 8235, 6019, 267, 12348, 270, 15517, 338, 267, 610, 707, 7499, 6138, 563, 288, 5618, 6609, 540, 519, 1788, 1107, 552, 3052, 1421, 875, 621, 729, 1500, 630, 691, 1106, 270, 4364, 1756, 1070, 3483, 4882, 20138, 766, 540, 1788, 267, 24117, 585, 2870, 519, 1788, 267, 3092, 563, 3721, 476, 273, 281, 9105, 782, 1053, 270, 4820, 4602, 1218, 547, 1129, 519, 966, 7860, 540, 8235, 6019, 15668, 1106, 547, 2671, 741, 960, 543, 2445, 782, 9896, 3649, 1392, 269, 16731, 519, 20885, 12876, 2985, 547, 4647, 519, 3649, 1853, 543, 11578, 585, 519, 4023, 563, 3721, 476, 274, 281, 28651, 856, 547, 4757, 11333, 2593, 547, 11282, 519, 4015, 540, 1568, 543, 3649, 1392, 563, 8923, 11282, 609, 721, 1991, 547, 4728, 476, 4029, 267, 476, 1708, 275, 267, 610, 607, 4166, 607, 596, 723, 513, 1544, 2336, 8923, 2638, 1394, 267, 607, 713, 2985, 786, 581, 8242, 2429, 519, 476, 1708, 274, 268, 1708, 275, 4081, 1032, 563, 5970, 707, 1053, 1711, 3059, 2984, 602, 616, 11347, 540, 741, 2078, 609, 741, 1604, 269, 634, 3059, 2984, 666, 581, 2123, 6386, 610, 21503, 2984, 4448, 547, 1808, 4025, 538, 8235, 6019, 269, 2107, 596, 1223, 723, 1053, 1382, 606, 2825, 3390, 4448, 547, 8235, 6019, 543, 1711, 513, 3059, 1650, 602, 8711, 741, 1382, 269, 8437, 1934, 585, 3732, 3059, 9423, 10467, 543, 2200, 563, 30655, 622, 593, 513, 834, 306, 20980, 8235, 6019, 257, 5816, 267, 1141, 1142, 2875, 11339, 827, 875, 938, 4657, 2916, 5540, 741, 2729, 267, 29377, 1382, 827, 606, 2825, 3390, 602, 789, 616, 13730, 827, 267, 610, 11042, 8235, 6019, 2146, 2818, 827, 2825, 2152, 1271, 547, 873, 563, 14946, 513, 4928, 5711, 1686, 1788, 269, 4841, 666, 5967, 1920, 2818, 267, 12543, 267, 610, 2146, 2818, 689, 3105, 5481, 827, 6940, 610, 2081, 602, 649, 607, 513, 2486, 666, 12167, 585, 8733, 5126, 563, 19686, 543, 2259, 912, 13706, 2409, 543, 2259, 540, 6940, 538, 519, 6575, 269, 1215, 798, 5159, 1305, 7182, 593, 741, 2326, 538, 1931, 547, 1711, 519, 960, 286, 9105, 1053, 547, 1445, 538, 593, 513, 1305, 540, 2326, 1644, 547, 6940, 538, 741, 2729, 267, 543, 1711, 1007, 1148, 689, 1346, 2326, 269, 4841, 666, 1305, 3652, 585, 2933, 267, 971, 607, 10655, 476, 272, 3018, 779, 4502, 540, 17885, 543, 2870, 513, 968, 1345, 268, 1636, 11681, 540, 20549, 1848, 2107, 2445, 3688, 689, 513, 1808, 1604, 910, 6288, 267, 13452, 267, 2199, 6908, 267, 12341, 1310, 513, 1857, 2680, 543, 30712, 513, 17855, 540, 519, 2230, 609, 519, 3688, 630, 5408, 16099, 681, 13704, 2630, 1916, 763, 7376, 3948, 540, 17286, 2088, 7066, 653, 267, 945, 1152, 3096, 2326, 602, 2907, 2291, 538, 1200, 18638, 267, 543, 2760, 1207, 903, 1007, 3283, 269, 3367, 1200, 7376, 3948, 563, 1103, 834, 14701, 26059, 9215, 5990, 700, 4353, 5058, 267, 7043, 14970, 2558, 1662, 2437, 27201, 2861, 7376, 16099, 681, 13704, 3096, 2326, 6394, 689, 17822, 538, 519, 27040, 2136, 2276, 547, 2995, 513, 9661, 540, 1312, 2199, 5533, 543, 2518, 7286, 10969, 566, 269, 681, 13704, 2813, 9380, 1116, 1568, 267, 3774, 1759, 1568, 267, 543, 3381, 1210, 1455, 3688, 18233, 909, 538, 10068, 24437, 689, 519, 5010, 10068, 2872, 538, 519, 1858, 563, 3519, 1061, 543, 1650, 912, 13706, 875, 1148, 9356, 3584, 540, 6940, 998, 1523, 267, 6041, 267, 1650, 267, 543, 5924, 1106, 269, 4841, 1522, 2015, 2870, 513, 1788, 602, 6054, 513, 2199, 3390, 610, 2146, 2818, 789, 917, 945, 949, 723, 1044, 12936, 676, 606, 2825, 3390, 269, 4841, 1522, 2015, 2870, 960, 602, 568, 9927, 676, 2067, 2609, 538, 519, 1184, 563, 17442, 307, 30377, 25007, 17793, 345, 1512, 779, 3785, 2232, 3584, 540, 4853, 1143, 267, 681, 755, 25028, 26016, 1436, 267, 2825, 5126, 267, 1569, 547, 2973, 1216, 267, 4600, 685, 2924, 543, 811, 998, 10344, 267, 3381, 267, 2773, 267, 10380, 543, 2835, 269, 6258, 811, 827, 1200, 960, 543, 2070, 1200, 3381, 2200, 563, 2304, 320, 21780, 2884, 320, 779, 960, 2882, 10344, 267, 4670, 267, 3381, 267, 5373, 267, 17001, 543, 3135, 10391, 19698, 269, 21771, 1331, 24815, 267, 12761, 267, 543, 513, 2132, 547, 519, 5251, 269, 4173, 1134, 8153, 1560, 540, 960, 968, 338, 559, 340, 564, 553, 892, 1202, 9216, 1200, 1560, 883, 519, 5251, 267, 543, 616, 9927, 676, 2067, 2609, 269, 6258, 811, 827, 1200, 960, 563, 15812, 667, 542, 779, 960, 12116, 519, 2081, 538, 799, 8789, 19237, 543, 1857, 5238, 3337, 938, 1620, 540, 1686, 267, 1702, 543, 519, 2067, 1158, 269, 1261, 5932, 19698, 540, 1585, 10070, 547, 2243, 519, 1843, 2032, 540, 519, 3621, 5639, 538, 4207, 2486, 269, 6258, 811, 827, 1010, 960, 543, 2070, 1010, 3381, 2200, 563, 11854, 3663, 1053, 666, 1685, 4633, 827, 606, 2825, 3390, 1271, 547, 873, 693, 519, 12655, 8235, 6019, 12876, 593, 4989, 476, 2420, 563, 5970, 1053, 2594, 513, 15264, 1141, 789, 5967, 2818, 540, 519, 8235, 6019, 2146, 827, 875, 2916, 1689, 610, 2825, 2152, 1808, 547, 8235, 6019, 723, 4299, 741, 2729, 267, 3226, 1346, 4171, 9739, 616, 26173, 269, 634, 27143, 666, 581, 11251, 593, 519, 966, 7860, 540, 8235, 6019, 3896, 610, 649, 1223, 1305, 909, 513, 834, 4289, 2287, 1630, 1054, 257, 693, 519, 12655, 8235, 6019, 12876, 563, 8620, 9910, 32026, 1107, 2110, 267, 476, 272, 268, 273, 8792, 15923, 6386, 602, 2263, 2055, 827, 6940, 543, 8733, 5126, 4143, 547, 8235, 6019, 5095, 269, 1452, 1223, 2874, 540, 1936, 730, 15942, 327, 3298, 610, 7044, 563, 8620, 834, 9743, 8183, 2984, 257, 609, 2110, 6386, 10704, 1472, 513, 6249, 610, 1888, 4143, 547, 6940, 538, 8235, 6019, 563, 1805, 800, 8346, 630, 21581, 267, 10344, 267, 2923, 267, 1603, 267, 27143, 994, 14946, 513, 476, 275, 268, 276, 8792, 3381, 602, 31825, 519, 3390, 609, 519, 1857, 269, 1411, 666, 946, 5967, 22089, 267, 17245, 2511, 22089, 267, 5639, 1478, 267, 610, 824, 2994, 649, 4076, 5249, 593, 713, 19496, 269, 901, 666, 581, 606, 3390, 602, 707, 1895, 11099, 519, 1857, 1058, 723, 811, 1702, 827, 269, 1403, 2324, 609, 513, 1875, 17416, 267, 596, 1522, 3858, 593, 513, 5048, 602, 789, 1131, 849, 899, 519, 1857, 547, 917, 827, 269, 630, 9556, 1518, 547, 3514, 1576, 6859, 543, 2923, 8094, 8620, 513, 4928, 834, 22437, 564, 6874, 872, 257, 1500, 689, 6079, 539, 1957, 3762, 267, 609, 5452, 689, 595, 9448, 781, 12389, 6997, 20417, 269, 634, 3762, 786, 581, 593, 4159, 693, 519, 3400, 903, 331, 820, 13464, 538, 5614, 476, 1708, 275, 543, 693, 519, 20885, 12876, 267, 543, 786, 581, 12630, 593, 519, 12389, 6997, 20417, 538, 2904, 476, 1708, 275, 269, 966, 7860, 540, 8235, 6019, 666, 1683, 12200, 543, 2875, 2516, 609, 6079, 539, 1957, 3762, 610, 1397, 596, 875, 547, 1118, 6079, 539, 1957, 269, 589, 6079, 539, 1957, 13186, 786, 581, 4371, 538, 5988, 476, 1708, 275, 563, 24478, 633, 1603, 610, 5888, 1053, 666, 2328, 2110, 2123, 3594, 827, 741, 4296, 547, 519, 1604, 610, 513, 1888, 1644, 547, 6940, 543, 1224, 610, 1685, 873, 693, 519, 12655, 8235, 6019, 12876, 563, 14946, 513, 5816, 610, 3896, 602, 20502, 6940, 2389, 1335, 539, 1603, 10467, 563, 8620, 19297, 15386, 2875, 3785, 269, 0, 18550, 476, 1789, 267, 476, 1708, 274, 4534, 16393, 28707, 2029, 581, 519, 2104, 540, 7296, 29696, 888, 290, 7837, 12076, 7296, 3123, 827, 476, 272, 538, 476, 276, 7972, 538, 519, 2136, 2276, 267, 2687, 547, 519, 15509, 267, 1818, 621, 519, 3143, 269, 476, 272, 2014, 540, 28824, 2669, 269, 1403, 1382, 689, 3345, 13523, 2160, 12217, 856, 267, 513, 8405, 331, 864, 1223, 948, 4688, 930, 540, 1346, 2729, 563, 14722, 972, 723, 2919, 513, 3926, 596, 5957, 1472, 707, 8405, 602, 2337, 596, 16718, 7296, 269, 14878, 5523, 968, 10712, 5803, 12507, 892, 630, 338, 2432, 899, 623, 758, 2946, 3000, 1070, 621, 21697, 7296, 3270, 543, 12153, 1210, 513, 8143, 9300, 267, 24428, 3330, 513, 2688, 20805, 656, 267, 602, 30397, 3002, 6786, 689, 1396, 13189, 563, 763, 8405, 331, 864, 666, 2995, 950, 513, 16906, 568, 1373, 1396, 267, 950, 519, 1268, 568, 2921, 513, 25858, 267, 519, 942, 1063, 25858, 338, 267, 543, 875, 1419, 543, 875, 1279, 789, 11375, 1446, 269, 4635, 513, 1826, 540, 5841, 4987, 1634, 607, 2620, 1565, 267, 713, 1344, 666, 948, 3589, 2436, 513, 1268, 786, 26739, 543, 950, 547, 26544, 609, 267, 2161, 267, 513, 16335, 1257, 610, 3381, 5048, 11021, 11009, 2553, 269, 634, 3926, 568, 4330, 538, 513, 1382, 1957, 538, 18619, 540, 519, 8028, 300, 593, 20308, 267, 16353, 267, 23203, 762, 543, 29974, 19891, 748, 16370, 563, 2005, 779, 519, 5767, 538, 513, 3395, 1297, 540, 5957, 1963, 2966, 585, 7296, 29696, 269, 2368, 21015, 2914, 1941, 3457, 946, 5163, 8596, 547, 3713, 950, 596, 2461, 7296, 630, 528, 827, 547, 1040, 11524, 4125, 9221, 2269, 1186, 547, 3713, 7296, 32480, 3270, 269, 11524, 946, 12514, 11251, 538, 2363, 1122, 28904, 547, 7001, 7296, 2592, 563, 2108, 10144, 616, 9090, 4742, 811, 26224, 547, 1210, 28707, 3457, 547, 2268, 5222, 593, 741, 1072, 2223, 3081, 16114, 9655, 27958, 267, 12854, 267, 513, 7548, 538, 2780, 2257, 693, 519, 2160, 540, 6490, 874, 529, 267, 945, 729, 711, 3238, 538, 519, 1353, 269, 589, 3926, 899, 713, 8405, 331, 864, 1223, 581, 2523, 3730, 538, 7296, 29696, 1382, 267, 27958, 3081, 563, 28095, 5957, 1963, 723, 19363, 602, 519, 8405, 331, 864, 30417, 267, 519, 3345, 13523, 3173, 2161, 269, 18289, 8596, 949, 581, 8572, 547, 10646, 1063, 7296, 543, 4189, 610, 15700, 519, 5023, 269, 30446, 2269, 1186, 666, 581, 524, 13246, 727, 267, 543, 12514, 6318, 7834, 4145, 563, 3719, 540, 1576, 267, 519, 2029, 1152, 1568, 952, 1004, 2965, 5957, 621, 563, 2690, 519, 8405, 331, 864, 267, 519, 3345, 13523, 2319, 1185, 13538, 1449, 513, 18634, 269, 634, 1101, 729, 513, 1507, 4544, 20805, 656, 267, 2813, 676, 513, 476, 274, 291, 17002, 563, 14881, 4718, 602, 621, 20974, 1229, 547, 1004, 1018, 519, 9300, 2013, 6743, 899, 267, 865, 594, 3893, 519, 2856, 540, 2688, 17393, 793, 532, 543, 8228, 1114, 2665, 2223, 3081, 9972, 1353, 2278, 715, 8494, 1325, 3333, 3120, 17304, 267, 12854, 267, 12314, 7548, 540, 15324, 4915, 693, 3345, 13523, 543, 8689, 540, 519, 6280, 779, 670, 5723, 1080, 6997, 563, 2704, 3333, 3120, 17304, 7691, 602, 1004, 1131, 581, 811, 2693, 547, 5957, 513, 8405, 331, 864, 602, 20083, 741, 2511, 269, 4595, 1287, 267, 519, 2319, 814, 1044, 2688, 268, 2745, 532, 476, 274, 291, 2013, 6272, 267, 1256, 2348, 3755, 3142, 538, 741, 5172, 20805, 1218, 607, 513, 2203, 563, 2704, 3333, 3120, 17304, 779, 2319 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1315, 22335, 1299, 32532, 2762, 1315, 4317, 2920, 643, 1235, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 547, 938, 4241, 3460, 998, 519, 1158, 540, 2257, 256, 4653, 649, 2811, 2469, 547, 2263, 930, 3579, 3621, 2474, 543, 2035, 602, 596, 1522, 1265, 538, 707, 3232, 1272, 610, 1256, 538, 13777, 22618, 4066, 256, 5213, 1405, 5855, 952, 891, 1913, 3280, 7294, 1107, 649, 3513, 2736, 873, 1524, 1927, 883, 2241, 543, 24669, 2093, 780, 1262, 20238, 541, 18224, 5093, 5994, 596, 616, 4730, 513, 3381, 3014, 1141, 596, 991, 547, 3950, 3615, 3001, 1472, 596, 269, 7101, 1513, 946, 13590, 6329, 630, 13678, 1791, 547, 31923, 6786, 264, 547, 3713, 1346, 3615, 262, 7158, 543, 9883, 269, 2201, 513, 16986, 4159, 267, 596, 1294, 513, 476, 273, 291, 4786, 1175, 899, 538, 707, 3381, 3014, 267, 855, 3079, 540, 3197, 267, 621, 2982, 1483, 8996, 3688, 269, 6215, 656, 2039, 568, 875, 2484, 2476, 1945, 568, 689, 519, 16986, 267, 10268, 607, 952, 596, 941, 3168, 2786, 693, 621, 269, 15346, 267, 1318, 2496, 1262, 27028, 26975, 5093, 3767, 1577, 781, 1589, 827, 1018, 4523, 950, 596, 2490, 1055, 519, 8279, 538, 707, 4055, 269, 898, 4991, 4158, 1317, 1769, 1648, 568, 12842, 676, 1585, 1919, 1472, 721, 267, 971, 607, 6821, 267, 11647, 267, 610, 9162, 269, 12559, 26975, 1797, 865, 1136, 909, 1114, 2010, 540, 1648, 267, 899, 1769, 610, 3280, 267, 1510, 536, 23395, 621, 1394, 269, 1280, 1383, 267, 950, 596, 2911, 23900, 538, 1362, 267, 707, 5639, 4991, 12842, 676, 4478, 7252, 1354, 8757, 519, 4116, 781, 10772, 269, 1744, 327, 256, 2913, 781, 1832, 602, 1063, 721, 780, 1262, 302, 12965, 24005, 5093, 1323, 14251, 24005, 949, 3100, 899, 513, 9490, 2262, 267, 855, 4952, 1373, 2111, 547, 4585, 4992, 607, 789, 2951, 998, 2011, 256, 2334, 781, 4010, 1018, 606, 14251, 24005, 1281, 282, 1152, 3079, 540, 8384, 4992, 267, 3744, 1413, 693, 3308, 3270, 8204, 5122, 6786, 269, 1635, 8220, 12904, 547, 606, 14251, 24005, 267, 649, 666, 834, 5408, 257, 2575, 267, 4633, 267, 610, 1022, 824, 5907, 5365, 269, 1215, 5863, 1131, 621, 581, 547, 7198, 707, 5172, 5152, 607, 513, 4190, 5951, 4806, 2496, 1262, 10907, 5120, 566, 5082, 549, 1372, 5093, 16514, 3054, 4881, 2509, 513, 5458, 7641, 5496, 1247, 8876, 513, 9126, 2407, 540, 6263, 267, 9589, 27371, 269, 1879, 596, 12235, 891, 27371, 693, 519, 5496, 267, 789, 1711, 10477, 18162, 3297, 873, 269, 6684, 267, 606, 10231, 19650, 3096, 1164, 6453, 547, 9496, 856, 9211, 267, 2870, 6505, 3515, 593, 513, 8613, 610, 2780, 6895, 269, 901, 2337, 3744, 1353, 9325, 5163, 543, 2623, 780, 1262, 306, 969, 334, 3590, 5093, 6056, 827, 3843, 547, 3666, 513, 13692, 593, 707, 9416, 269, 1411, 7683, 4188, 707, 1688, 2990, 547, 2226, 922, 3666, 269, 4419, 334, 1949, 960, 13974, 910, 789, 1852, 3457, 1759, 593, 5955, 4607, 267, 4180, 3388, 13978, 7123, 543, 1568, 7561, 269, 1452, 5100, 948, 619, 616, 10876, 267, 5329, 6191, 543, 2645, 8647, 7157, 780, 1262, 10907, 5120, 18852, 5093, 24665, 18852, 616, 9735, 19269, 602, 2995, 596, 875, 3728, 1919, 616, 4657, 4287, 610, 3432, 269, 5620, 596, 2479, 5129, 513, 17040, 3014, 1141, 707, 1286, 21266, 1206, 2687, 547, 7140, 286, 2107, 6148, 1031, 513, 1900, 4831, 813, 286, 8409, 782, 723, 5787, 18852, 3330, 256, 1358, 6460, 2168, 3350, 883, 3167, 6786, 267, 3850, 5904, 543, 8924, 547, 4612, 1239, 543, 2285, 6209, 1344, 780, 1262, 306, 2438, 13503, 528, 28576, 1218, 5093, 590, 2438, 13503, 832, 616, 2326, 602, 2932, 5201, 1732, 982, 1202, 22399, 855, 8338, 982, 26423, 630, 20813, 6748, 267, 26001, 286, 1040, 17006, 2027, 5820, 267, 1572, 17585, 1218, 267, 2306, 873, 811, 3730, 269, 2368, 17585, 1218, 1039, 3063, 9211, 267, 1866, 1491, 873, 2476, 267, 8108, 9475, 269, 6145, 20057, 956, 593, 4672, 8645, 267, 17585, 1218, 3986, 15373, 832, 262, 5759, 267, 3056, 547, 6909, 18563, 899, 3859, 8440, 543, 5904, 780, 1262, 309, 659, 10840, 570, 25683, 5093, 7053, 267, 4605, 513, 20538, 15293, 5721, 15993, 609, 1079, 4496, 10824, 2673, 1927, 269, 18738, 267, 972, 781, 513, 7141, 344, 6263, 11237, 540, 1769, 10707, 1394, 543, 8521, 1063, 873, 269, 5080, 29418, 2614, 267, 713, 568, 2147, 547, 875, 12511, 13740, 7500, 256, 1358, 24244, 4617, 5122, 6786, 1210, 606, 17355, 18050, 2230, 5627, 12699, 2083, 14613, 543, 22809, 269, 6969, 27820, 3576, 936, 267, 12511, 13740, 6039, 607, 1898, 3334, 538, 2038, 5907, 3457, 780, 3086, 596, 917, 827, 891, 7415, 3621, 2035, 256, 5457, 267, 1169, 2462, 2856, 6238, 609, 7279, 543, 1620, 4130, 2694, 269, 1924, 1985, 942, 2576, 19528, 891, 2474, 267, 2671, 707, 16012, 1702, 543, 8300, 1866, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 289, 12864, 519, 29395, 1210, 713, 4994, 454, 22492, 1923, 589, 1923, 645, 1923, 595, 1923, 667, 1923, 661, 1923, 674, 1923, 717, 1923, 670, 1923, 594, 1923, 808, 1923, 918, 1923, 700, 1923, 631, 1923, 715, 1923, 744, 1923, 623, 1923, 1627, 1923, 681, 1923, 590, 1923, 570, 1923, 772, 1923, 966, 1923, 654, 1923, 2473, 1923, 962, 1923, 2098, 1923, 20231, 454, 288, 16986, 4159, 593, 799, 1793, 656, 2039, 568, 3254, 607, 519, 3845, 2059, 513, 8880, 10250, 4586, 263, 272, 264, 19837, 11692, 540, 5925, 610, 3280, 6329, 607, 789, 2170, 609, 2339, 269, 630, 273, 264, 634, 21716, 540, 1769, 6329, 1510, 8086, 610, 1201, 3555, 4586, 2304, 6293, 1031, 547, 2268, 8301, 12451, 4586, 2304, 19650, 9901, 1896, 8536, 24311, 2318, 543, 1031, 547, 17108, 454, 19491, 6425, 4724, 519, 4395, 540, 513, 30932, 11920, 8546, 4586, 288, 1425, 4722, 602, 8060, 519, 10231, 630, 3433, 540, 1689, 538, 6991, 264, 540, 513, 4452, 4586, 288, 3926, 602, 3800, 519, 10231, 547, 799, 621, 568, 16271, 543, 10953, 513, 454, 338, 793, 531, 14354, 547, 621, 4586, 2304, 791, 12053, 799, 267, 950, 3773, 547, 513, 19202, 267, 24693, 835, 6475, 689, 454, 320, 15231, 11046, 543, 5932, 513, 8559, 538, 519, 24775, 2497, 540, 519, 12627, 269, 4746, 1572, 13138, 4353, 3201, 7728, 454, 288, 1360, 1507, 8546, 609, 5702, 22274, 22809, 543, 1100, 3490, 269, 634, 8546, 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 ]
[ 10894, 1599, 543, 547, 1832, 707, 4105, 8219, 2324, 269, 634, 2504, 540, 575, 327, 516, 4802, 267, 519, 14000, 9449, 267, 568, 26793, 543, 519, 1560, 1100, 3476, 2833, 4606, 540, 14000, 563, 2026, 519, 4374, 979, 676, 267, 519, 17811, 17211, 1063, 707, 1426, 6981, 543, 10894, 1648, 3747, 5956, 547, 14816, 2476, 1560, 3170, 543, 4887, 547, 3489, 513, 4492, 2707, 269, 898, 779, 2009, 585, 1004, 2713, 609, 5410, 2581, 779, 547, 6336, 4557, 547, 8938, 6550, 540, 1560, 2597, 538, 1175, 513, 3923, 610, 1079, 269, 4495, 596, 723, 13175, 2126, 585, 5410, 2581, 779, 267, 519, 6527, 786, 11177, 519, 9449, 3666, 538, 707, 1560, 269, 13850, 516, 4802, 2504, 10607, 267, 543, 707, 14031, 20406, 7024, 269, 0, 1692, 9162, 1223, 581, 12018, 513, 1126, 779, 2104, 4876, 454, 2467, 616, 7125, 585, 11442, 6810, 693, 8637, 547, 581, 632, 3766, 25311, 538, 513, 19915, 547, 7903, 6690, 883, 13241, 11678, 563, 2005, 779, 10645, 968, 2692, 903, 543, 6690, 892, 6810, 6766, 1453, 15490, 569, 267, 543, 12936, 741, 4876, 5079, 543, 2009, 2883, 1967, 563, 10112, 1539, 622, 7905, 23718, 7647, 525, 267, 689, 519, 8028, 308, 4659, 585, 4804, 7070, 543, 11819, 4065, 267, 5143, 8751, 11875, 328, 2714, 575, 25311, 9162, 2322, 2604, 593, 3214, 563, 18658, 649, 616, 7487, 538, 938, 1382, 922, 602, 676, 5722, 1296, 540, 2085, 267, 1312, 8695, 543, 6690, 723, 1360, 32616, 673, 2093, 827, 2757, 24940, 543, 21522, 6009, 543, 519, 11678, 789, 1616, 547, 723, 2223, 1352, 1767, 563, 17606, 6238, 1360, 2038, 3034, 18208, 623, 6369, 312, 2630, 547, 5873, 1200, 2491, 454, 303, 27348, 281, 5192, 1399, 1775, 1805, 1442, 0, 8489, 568, 5682, 16049, 286, 634, 1686, 540, 5682, 16049, 5507, 269, 6176, 827, 5682, 16049, 563, 16675, 16049, 282, 568, 513, 25878, 18664, 965, 540, 5507, 269, 898, 568, 593, 519, 5045, 4871, 540, 519, 5211, 774, 1868, 543, 568, 4583, 585, 519, 5656, 540, 519, 2817, 31845, 7467, 267, 519, 9576, 25220, 5441, 543, 519, 9576, 25076, 563, 14532, 2986, 5682, 16049, 454, 1103, 476, 16318, 274, 9966, 874, 9445, 16099, 540, 3794, 537, 31569, 20583, 1018, 568, 1631, 5682, 16049, 5244, 593, 519, 15113, 728, 6772, 8504, 519, 5757, 269, 1261, 849, 3710, 593, 519, 5757, 4871, 513, 2777, 799, 519, 570, 31122, 19988, 338, 6905, 883, 513, 10424, 19289, 269, 3751, 8361, 24163, 729, 4535, 972, 269, 634, 19289, 729, 1932, 1804, 543, 2025, 1922, 5831, 539, 585, 519, 7385, 540, 3751, 6276, 594, 543, 646, 1185, 513, 1007, 2777, 693, 519, 5087, 1439, 540, 519, 6288, 2966, 585, 1200, 676, 769, 15282, 13643, 269, 901, 2777, 729, 6192, 585, 10348, 28741, 24297, 12756, 267, 7385, 540, 8176, 594, 267, 538, 476, 14321, 278, 269, 898, 568, 1572, 519, 10348, 779, 5600, 543, 538, 476, 4350, 278, 2968, 519, 2817, 31845, 7467, 267, 1141, 3631, 543, 5961, 540, 2025, 9635, 666, 581, 2938, 1927, 609, 12125, 543, 7405, 585, 12445, 563, 21914, 8176, 4083, 1185, 519, 570, 31122, 19289, 15504, 1524, 543, 3459, 513, 1007, 835, 267, 855, 1152, 835, 3625, 729, 3710, 269, 1261, 849, 9788, 856, 519, 6288, 538, 519, 3943, 2511, 543, 930, 540, 519, 1390, 5053, 9221, 18133, 4054, 2059, 519, 1292, 28627, 941, 12630, 538, 1010, 942, 2311, 519, 1439, 540, 519, 476, 1704, 628, 2540, 519, 1390, 4056, 18332, 654, 1066, 729, 5143, 547, 1118, 4566, 547, 8831, 519, 19289, 883, 513, 17189, 6413, 269, 654, 1066, 779, 4566, 585, 519, 6413, 941, 10169, 12012, 676, 2663, 16413, 855, 713, 1895, 540, 5656, 267, 6192, 538, 476, 11260, 271, 568, 1851, 519, 1034, 1533, 569, 538, 4789, 269, 898, 814, 4190, 32724, 543, 568, 4583, 585, 922, 10266, 1540, 670, 841, 267, 4171, 6821, 543, 18109, 941, 13556, 676, 11184, 6276, 774, 1941, 24824, 630, 15757, 276, 268, 15876, 275, 1040, 4595, 476, 6942, 274, 519, 6413, 814, 1044, 513, 2852, 585, 17189, 10492, 563, 763, 2616, 2218, 5656, 538, 5682, 16049, 5244, 941, 3710, 676, 654, 1066, 538, 476, 15757, 276, 269, 630, 2304, 2616, 2218, 568, 513, 1747, 1141, 19936, 4585, 519, 3141, 267, 7599, 267, 6801, 543, 10785, 282, 1294, 25076, 4700, 634, 15137, 344, 2011, 540, 5682, 16049, 543, 519, 1350, 732, 540, 519, 5507, 6607, 1500, 621, 2556, 547, 1847, 519, 2616, 2218, 547, 4173, 560, 3000, 576, 5060, 630, 306, 639, 16303, 264, 538, 476, 3707, 279, 269, 20668, 540, 519, 2025, 2616, 2218, 616, 1631, 513, 544, 2224, 340, 13799, 333, 630, 21406, 4469, 600, 560, 3975, 5600, 264, 543, 8436, 666, 1294, 519, 2462, 9219, 19904, 6029, 5682, 16049, 942, 267, 607, 1134, 607, 519, 5682, 16049, 5789, 22941, 6825, 593, 519, 2666, 267, 689, 799, 29978, 568, 6027, 269, 2311, 835, 522, 685, 22018, 1142, 1554, 513, 3109, 3440, 12772, 1524, 513, 15958, 607, 513, 942, 5365, 563, 1103, 513, 3819, 546, 1442, 22290, 5682, 16049, 623, 1512, 666, 581, 2938, 519, 968, 29493, 1399, 590, 1046, 2108, 269, 901, 22892, 6928, 267, 799, 729, 3710, 538, 476, 5908, 280, 585, 519, 3624, 7401, 4123, 267, 729, 835, 540, 519, 16595, 8043, 513, 15615, 543, 568, 6854, 607, 513, 24744, 547, 519, 2395, 540, 13743, 269, 0, 28082, 30007, 540, 476, 4572, 271, 543, 4653, 634, 2923, 568, 7683, 4657, 269, 634, 9913, 2872, 568, 7683, 9687, 267, 543, 519, 2029, 602, 9311, 625, 519, 2872, 568, 849, 3384, 1175, 607, 6385, 269, 4317, 9913, 538, 519, 476, 4572, 271, 338, 729, 513, 2101, 1445, 540, 3232, 1272, 585, 1004, 267, 6466, 2221, 9913, 6212, 811, 593, 8216, 11815, 2305, 269, 7982, 538, 519, 10162, 2130, 3828, 550, 625, 267, 4658, 4682, 856, 609, 741, 2828, 547, 581, 513, 851, 540, 519, 12316, 2528, 269, 4658, 4682, 547, 3717, 3887, 553, 625, 267, 19695, 1712, 976, 267, 543, 15690, 15731, 563, 763, 4892, 543, 519, 4639, 5433, 12219, 676, 519, 6739, 543, 19797, 7169, 1317, 789, 21787, 4004, 1143, 1131, 3262, 547, 873, 269, 634, 4838, 538, 6576, 1185, 1044, 26093, 267, 543, 621, 2921, 3723, 538, 519, 7330, 1131, 723, 1044, 27337, 881, 269, 4004, 1143, 1185, 5892, 1044, 513, 31029, 3069, 267, 855, 1631, 621, 1185, 1831, 513, 6727, 4641, 269, 2622, 2782, 594, 729, 1869, 2921, 1747, 693, 713, 942, 267, 543, 621, 729, 476, 4489, 278, 602, 3013, 19385, 14688, 9411, 519, 3864, 2782, 269, 654, 691, 830, 1728, 3122, 807, 729, 2693, 547, 2981, 883, 2022, 21351, 1728, 3122, 807, 267, 799, 621, 1705, 267, 713, 1974, 4742, 1634, 607, 519, 4414, 2480, 732, 563, 25567, 320, 538, 519, 476, 4572, 271, 338, 2394, 7073, 8648, 634, 1259, 2413, 3013, 814, 2097, 547, 581, 689, 519, 476, 4572, 271, 338, 2394, 2221, 568, 1317, 540, 519, 2242, 602, 723, 5949, 998, 519, 1296, 269, 1284, 723, 1044, 588, 4459, 523, 676, 519, 29695, 10617, 602, 723, 2322, 721, 538, 7963, 607, 1134, 607, 519, 4965, 269, 1809, 15983, 1977, 814, 2938, 922, 2671, 540, 6126, 2053, 267, 1519, 519, 942, 1310, 24918, 269, 1809, 1018, 814, 5963, 8032, 2413, 3013, 568, 519, 2029, 519, 25577, 2429, 519, 1296, 269, 1284, 723, 1044, 2016, 519, 17979, 540, 1373, 2111, 547, 946, 7658, 10746, 267, 5904, 267, 4950, 267, 3092, 563, 15709, 304, 258, 274, 2991, 2622, 2782, 594, 267, 519, 2136, 2276, 9411, 606, 5736, 1634, 607, 519, 10162, 2130, 3828, 550, 625, 269, 16024, 2103, 723, 1044, 19163, 593, 875, 2804, 2175, 543, 7835, 538, 6575, 543, 9913, 5280, 1711, 519, 10639, 540, 519, 476, 4572, 271, 779, 607, 519, 10162, 2130, 3828, 550, 625, 269, 634, 2804, 2175, 1282, 519, 476, 4572, 271, 779, 941, 1630, 4040, 1813, 547, 519, 2799, 2504, 540, 5370, 267, 6009, 267, 543, 9541, 538, 13632, 269, 634, 7835, 538, 6575, 543, 9913, 971, 607, 519, 4332, 540, 15690, 543, 519, 8445, 540, 3203, 1546, 1723, 267, 941, 849, 13654, 585, 2870, 519, 10639, 1634, 607, 519, 10162, 2130, 3828, 550, 625, 269, 634, 2804, 2175, 1282, 519, 476, 4572, 271, 779, 5280, 1711, 519, 10639, 1634, 607, 519, 10162, 2130, 3828, 550, 625, 563, 763, 10162, 2130, 3828, 550, 625, 799, 729, 519, 476, 4572, 271, 779, 729, 513, 942, 950, 519, 2197, 729, 1360, 25133, 543, 23904, 269, 968, 257, 305, 334, 2130, 3828, 550, 625, 257, 910, 513, 1630, 3563, 748, 1974, 6353, 676, 6385, 4657, 19824, 267, 2883, 4430, 525, 267, 543, 519, 3728, 10605, 540, 6639, 3356, 1848, 263, 2108, 763, 887, 2130, 1000, 550, 625, 5608, 1220, 276, 264, 1703, 729, 865, 1454, 602, 729, 2469, 593, 1282, 519, 476, 4572, 271, 779, 865, 594, 786, 1445, 593, 513, 1906, 5705, 641, 923, 269, 2290, 540, 1346, 3584, 1131, 581, 519, 9162, 602, 941, 3812, 1282, 713, 942, 269, 901, 729, 513, 1007, 5736, 540, 11442, 1818, 1141, 621, 729, 1360, 3811, 269, 4438, 713, 942, 267, 9413, 3576, 513, 2462, 1909, 538, 519, 17113, 563, 7628, 519, 476, 4572, 271, 779, 5026, 941, 513, 2101, 1106, 540, 9913, 543, 713, 942, 729, 5219, 547, 607, 519, 13642, 6520, 540, 11846, 269, 769, 1840, 547, 9913, 267, 5026, 941, 1031, 676, 1082, 3549, 547, 1118, 2724, 689, 11655, 269, 20176, 625, 267, 6752, 267, 543, 5026, 941, 1360, 9565, 593, 519, 454, 763, 1426, 568, 519, 1655, 267, 543, 519, 11655, 616, 1390, 547, 544, 17532, 609, 269, 594, 723, 1044, 1360, 26752, 538, 519, 2063, 1906, 1296, 547, 581, 693, 1082, 2834, 4005, 3756, 267, 1079, 1404, 4752, 3756, 543, 519, 1753, 2196, 3541, 2421, 1282, 519, 782, 3613, 541, 2736, 269, 594, 723, 849, 6394, 1082, 1313, 21106, 689, 5449, 631, 29262, 779, 543, 7261, 8479, 8366, 23602, 1354, 519, 3756, 269, 1703, 568, 4986, 3116, 899, 513, 2022, 572, 1783, 1404, 4752, 3014, 693, 645, 20415, 853, 18123, 269, 1703, 568, 606, 3167, 4743, 538, 519, 2011, 607, 4166, 607, 596, 1205, 856, 540, 707, 1286, 538, 519, 18736, 2603, 563, 763, 4279, 5463, 1228, 634, 562, 31106, 1000, 550, 625, 6585, 1082, 10643, 267, 609, 513, 1906, 1373, 968, 763, 10162, 2130, 3828, 550, 625, 5608, 968, 763, 27227, 6520, 892, 610, 968, 763, 28246, 16527, 6100, 674, 269, 8845, 32684, 779, 634, 4279, 30056, 6411, 607, 513, 6041, 585, 1142, 540, 891, 10643, 269, 769, 519, 562, 31106, 1000, 550, 625, 519, 9913, 729, 28292, 543, 1350, 600, 537, 9317, 268, 713, 568, 5693, 9676, 538, 634, 4279, 30056, 269, 634, 546, 9579, 1782, 11673, 540, 519, 12353, 6105, 602, 30056, 14747, 18613, 513, 1686, 1433, 779, 1378, 6609, 269, 634, 6105, 616, 3063, 341, 698, 656, 267, 519, 2575, 568, 10978, 543, 519, 15472, 568, 18512, 563, 24078, 513, 18487, 4550, 1728, 3122, 807, 1008, 12097, 676, 513, 20387, 4250, 729, 513, 4838, 602, 4957, 1287, 1977, 1259, 540, 1272, 269, 898, 729, 827, 31012, 4838, 543, 2797, 9097, 1143, 269, 1160, 22128, 540, 4568, 610, 1160, 22128, 585, 2110, 729, 519, 3656, 957, 540, 10238, 1746, 519, 5478, 3560, 543, 9042, 540, 4568, 543, 23931, 16098, 729, 1128, 21114, 609, 3731, 2305, 540, 519, 22733, 17203, 269, 6837, 5293, 519, 968, 14157, 560, 1737, 2920, 892, 593, 5239, 476, 2764, 267, 0, 15933, 1280, 715, 4381, 454, 14399, 616, 5051, 3478, 519, 5354, 540, 741, 3232, 8477, 689, 3706, 1905, 549, 947, 539, 3536, 1164, 538, 4006, 267, 6070, 543, 1098, 3170, 267, 3081, 513, 1007, 1867, 269, 769, 476, 1220, 271, 267, 1239, 593, 3232, 1426, 6981, 6059, 3706, 1905, 549, 947, 539, 3536, 27648, 476, 8618, 260, 540, 1453, 781, 1608, 7595, 4616, 269, 769, 476, 1001, 279, 267, 519, 5767, 1239, 2139, 267, 621, 1185, 24111, 547, 476, 6858, 18336, 763, 4473, 538, 3706, 1905, 549, 947, 539, 3536, 4534, 1589, 4712, 3562, 13463, 520, 610, 910, 324, 520, 3688, 610, 24494, 26265, 543, 10425, 4534, 729, 2362, 1851, 4563, 543, 11204, 1977, 6107, 982, 3043, 6107, 563, 24791, 667, 543, 2051, 28030, 9435, 454, 2690, 7164, 4128, 267, 897, 28030, 2860, 3928, 616, 8375, 538, 1004, 896, 519, 2085, 540, 476, 2004, 267, 1247, 2949, 2665, 616, 19394, 269, 589, 1007, 12502, 525, 2657, 5530, 949, 2709, 835, 2009, 2601, 281, 12824, 1336, 513, 3095, 1063, 6171, 667, 543, 21904, 540, 897, 28030, 2860, 543, 922, 840, 15479, 832, 281, 4874, 1186, 4362, 1282, 3935, 8113, 641, 625, 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 ]
[ 2839, 310, 786, 4440, 723, 513, 1434, 3018, 1932, 609, 519, 17992, 619, 476, 274, 7260, 9542, 1373, 5950, 713, 3018, 269, 594, 2731, 6999, 31733, 610, 9823, 3893, 519, 17992, 619, 6132, 775, 269, 9517, 310, 723, 3893, 930, 15813, 5830, 543, 5159, 855, 789, 2760, 723, 513, 4960, 547, 798, 1945, 3312, 269, 898, 779, 2141, 1945, 1759, 593, 513, 7260, 610, 7641, 1397, 543, 524, 2286, 538, 593, 11655, 563, 16829, 676, 1520, 328, 12653, 5913, 593, 2904, 476, 2537, 267, 476, 1001, 272, 454, 4467, 923, 267, 18753, 9089, 543, 8585, 577, 663, 1047, 11288, 13723, 476, 2918, 628, 540, 4864, 476, 1001, 276, 454, 4467, 923, 267, 18753, 9089, 543, 8585, 577, 663, 1047, 11288, 13723, 476, 866, 628, 540, 4864, 476, 1001, 276, 454, 4467, 923, 267, 18753, 9089, 543, 8585, 577, 663, 1047, 11288, 13723, 476, 1321, 628, 540, 4864, 476, 1001, 276, 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, 22383, 1299, 18753, 26358, 1315, 7087, 24447, 540, 25725, 6816, 1315, 744, 329, 756, 933, 9177, 538, 22383, 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 ]
[ 543, 547, 1831, 606, 29842, 534, 23464, 2006, 267, 513, 6917, 18755, 541, 1100, 8969, 563, 4913, 267, 930, 1164, 3491, 12803, 19473, 1235, 723, 3144, 547, 519, 10847, 540, 741, 1523, 540, 16817, 543, 1010, 2495, 269, 1924, 621, 2501, 607, 513, 9983, 547, 1224, 1010, 1913, 538, 519, 1360, 2063, 5037, 540, 519, 960, 281, 968, 2467, 568, 6264, 16725, 538, 713, 2070, 540, 1272, 267, 609, 922, 1896, 7060, 267, 2348, 1044, 8385, 3826, 1117, 676, 519, 29763, 883, 513, 1906, 3029, 610, 883, 835, 3034, 1607, 5037, 729, 835, 540, 519, 1082, 602, 646, 12012, 543, 519, 1689, 568, 7415, 269, 769, 519, 1101, 7160, 4010, 519, 1482, 1913, 616, 1031, 267, 855, 609, 1100, 2446, 540, 519, 29763, 269, 634, 1523, 729, 5189, 538, 519, 2034, 7160, 543, 621, 18423, 538, 519, 1433, 585, 519, 14230, 540, 16817, 779, 1279, 1272, 269, 0, 763, 4365, 568, 3478, 21617, 269, 9412, 15880, 6585, 12424, 607, 1279, 607, 519, 2837, 568, 1657, 16171, 269, 7490, 1118, 2386, 707, 1126, 568, 21039, 14013, 543, 814, 513, 10359, 865, 789, 666, 979, 856, 547, 12424, 593, 21617, 2395, 269, 1403, 707, 1126, 568, 8572, 547, 23407, 741, 1378, 10359, 610, 2322, 593, 741, 11058, 267, 17309, 543, 25192, 593, 741, 1378, 267, 5225, 723, 873, 2259, 609, 596, 693, 1753, 269, 11289, 596, 865, 1454, 563, 12041, 19964, 281, 1234, 2041, 27204, 1733, 597, 1578, 454, 23727, 6763, 585, 3163, 267, 5303, 267, 7177, 543, 9119, 269, 1635, 3246, 13241, 2069, 1934, 693, 9412, 15880, 267, 649, 616, 4758, 1053, 519, 4316, 547, 581, 3860, 267, 519, 4960, 547, 1451, 543, 4019, 14374, 1983, 607, 789, 12840, 609, 1866, 269, 13241, 11942, 4702, 543, 1374, 3206, 543, 2337, 1053, 4487, 2979, 543, 2257, 2035, 563, 6624, 13241, 6009, 1142, 1032, 979, 4652, 2683, 543, 972, 568, 513, 5458, 896, 10517, 19948, 540, 2021, 538, 13241, 4610, 269, 9412, 15880, 814, 513, 5692, 547, 8115, 713, 7934, 609, 938, 1053, 269, 1284, 616, 8600, 873, 585, 513, 13241, 2104, 563, 305, 1442, 15880, 5849, 602, 1142, 2875, 568, 2016, 519, 942, 547, 1224, 1142, 1554, 269, 901, 568, 1898, 538, 1931, 547, 1451, 543, 1332, 607, 513, 5467, 269, 7335, 568, 782, 1472, 721, 543, 621, 568, 938, 2816, 267, 1312, 607, 3610, 543, 607, 3237, 267, 547, 1205, 938, 1053, 270, 18244, 3238, 269, 4595, 2542, 568, 1271, 693, 1169, 1377, 267, 1018, 1732, 942, 982, 1631, 888, 2171, 723, 1082, 2081, 602, 649, 1205, 1053, 3238, 538, 519, 4928, 267, 855, 2542, 693, 1753, 568, 8449, 607, 1271, 269, 3371, 616, 930, 3860, 2081, 547, 1205, 707, 1453, 9599, 827, 2542, 693, 1753, 563, 12648, 1920, 15143, 547, 519, 5399, 269, 7316, 3116, 666, 596, 3442, 689, 6634, 540, 1863, 2835, 286, 1411, 666, 1256, 2638, 856, 2835, 585, 707, 552, 22345, 518, 269, 2991, 707, 7552, 267, 2119, 547, 1305, 11735, 942, 1142, 1554, 1141, 3025, 538, 707, 1920, 18795, 1524, 547, 1224, 269, 476, 1428, 268, 736, 3764, 568, 782, 596, 991, 563, 8340, 7270, 602, 1719, 707, 1126, 269, 7335, 593, 519, 2780, 568, 513, 1390, 1259, 547, 1205, 26997, 3988, 547, 1224, 269, 1358, 1175, 1810, 1406, 8275, 602, 789, 616, 2542, 267, 789, 1175, 1589, 789, 616, 2348, 1187, 593, 519, 2780, 563, 8855, 267, 2542, 568, 10876, 269, 6787, 621, 568, 513, 10624, 693, 513, 13962, 267, 610, 519, 23611, 4216, 693, 519, 14254, 3349, 267, 2542, 568, 513, 1590, 269, 5269, 2386, 707, 1126, 568, 2016, 519, 942, 547, 798, 621, 1169, 1554, 2336, 2026, 649, 6318, 3214, 538, 713, 3059, 2085, 267, 621, 4667, 607, 1498, 25654, 666, 2887, 676, 519, 2081, 728, 269, 3371, 568, 513, 5363, 1592, 602, 666, 948, 4196, 607, 513, 12576, 540, 1018, 25654, 1522, 581, 1034, 1271, 607, 1453, 1332, 909, 563, 268, 17166, 968, 8923, 892, 950, 6998, 454, 268, 17166, 968, 14188, 596, 892, 950, 8391, 454, 268, 17166, 968, 2750, 322, 2224, 803, 892, 1310, 536, 18804, 883, 2576, 454, 268, 10925, 1524, 707, 11418, 950, 2576, 13788, 519, 4055, 454, 268, 6733, 1004, 538, 519, 3750, 950, 6340, 454, 268, 2913, 1866, 9096, 1354, 596, 3717, 454, 268, 1744, 820, 3946, 16119, 454, 268, 17166, 968, 8133, 8575, 685, 600, 543, 8786, 11184, 892, 950, 6158, 547, 6738, 5725, 454, 268, 13983, 564, 1004, 609, 968, 17098, 892, 543, 968, 1692, 616, 596, 18313, 268, 7046, 1684, 832, 585, 1866, 454, 265, 5649, 21557, 2984, 563, 265, 5970, 707, 1126, 1224, 519, 17365, 1592, 607, 596, 6300, 563, 265, 2237, 1524, 513, 11600, 585, 707, 1126, 779, 5172, 1426, 563, 265, 7476, 9599, 547, 3643, 519, 5399, 563, 265, 25440, 513, 4604, 3014, 543, 723, 707, 1126, 1224, 519, 6486, 563, 265, 10673, 1406, 4734, 1753, 1510, 621, 256, 11408, 723, 2542, 2326, 2139, 547, 1224, 538, 519, 1286, 610, 693, 20499, 563, 265, 5629, 568, 711, 2614, 269, 1234, 22345, 5172, 2984, 547, 948, 1628, 21711, 267, 3432, 543, 6111, 563, 265, 14707, 1546, 4177, 256, 9105, 707, 1126, 2055, 827, 1018, 789, 1175, 1224, 563, 265, 6826, 3461, 267, 2953, 9900, 543, 17192, 609, 15131, 454, 763, 14812, 616, 513, 1390, 942, 547, 4001, 1453, 8296, 543, 6568, 585, 1866, 269, 898, 568, 2653, 585, 1453, 547, 581, 9599, 547, 4309, 13344, 267, 855, 875, 798, 649, 1020, 519, 1482, 15131, 585, 4758, 286, 3371, 616, 930, 1806, 540, 875, 596, 666, 4125, 707, 1126, 538, 519, 7772, 540, 4758, 563, 268, 2913, 707, 1126, 6300, 585, 513, 1906, 13344, 585, 1866, 1210, 741, 1378, 2724, 563, 268, 1684, 513, 9702, 4739, 610, 27106, 12897, 547, 2285, 547, 12543, 610, 2828, 563, 268, 2913, 707, 1126, 16833, 513, 1906, 13344, 2933, 563, 268, 5620, 707, 1126, 1118, 6486, 585, 1866, 563, 268, 12315, 707, 1126, 519, 4316, 547, 1459, 519, 10516, 547, 2576, 865, 789, 666, 1294, 519, 7772, 621, 6770, 563, 268, 21816, 17621, 538, 513, 2199, 17339, 10051, 610, 7119, 538, 1677, 903, 585, 570, 1824, 563, 305, 1442, 15880, 13976, 538, 942, 585, 1053, 547, 1224, 693, 1153, 1142, 1554, 267, 855, 1382, 2982, 602, 713, 949, 711, 581, 2614, 269, 4841, 945, 1224, 693, 1753, 538, 1840, 547, 2542, 693, 1153, 4043, 547, 723, 2362, 1449, 8464, 269, 3371, 616, 930, 2081, 547, 6451, 2542, 693, 1753, 2336, 265, 5649, 519, 23611, 4216, 1142, 6640, 454, 265, 8340, 513, 2542, 3896, 610, 813, 602, 707, 1126, 21593, 454, 265, 16100, 909, 1344, 827, 513, 5172, 1641, 593, 519, 2780, 454, 265, 12648, 2834, 15143, 547, 519, 5399, 454, 265, 9359, 513, 1433, 8630, 609, 2828, 454, 265, 26329, 2542, 676, 2542, 538, 4395, 540, 543, 547, 707, 1453, 454, 10674, 2517, 335, 2125, 330, 1749, 3820, 270, 1107, 1607, 568, 513, 1390, 3135, 585, 3214, 540, 782, 6502, 10023, 782, 540, 707, 3214, 5172, 3197, 689, 32282, 2336, 10674, 2517, 4178, 269, 9071, 322, 9248, 2593, 270, 910, 8722, 520, 1005, 7734, 267, 11242, 267, 10632, 543, 811, 782, 4478, 707, 5172, 16992, 689, 15932, 5600, 7734, 256, 901, 568, 513, 1390, 1259, 547, 1118, 2835, 2097, 9800, 585, 2370, 3283, 2336, 4178, 14714, 541, 6420, 2593, 910, 1607, 568, 513, 1390, 3896, 585, 1565, 547, 1224, 269, 10060, 6420, 3217, 707, 3214, 782, 519, 1259, 689, 13235, 779, 547, 4804, 547, 3367, 256, 1703, 616, 930, 1187, 3756, 543, 811, 602, 3295, 1912, 9582, 267, 16319, 543, 8380, 4992, 1927, 538, 1913, 256, 901, 568, 1390, 585, 23021, 1565, 547, 1224, 2336, 4178, 4732, 3273, 2880, 2593, 31574, 1749, 270, 9248, 270, 1492, 2173, 20723, 17469, 1532, 639, 270, 910, 2467, 616, 9748, 540, 4279, 27678, 543, 10632, 827, 519, 5113, 1299, 3163, 269, 901, 568, 513, 1390, 3896, 585, 4587, 1453, 945, 1616, 547, 1451, 827, 4365, 267, 11585, 543, 811, 563, 4178, 269, 14683, 7547, 330, 1749, 2593, 910, 1607, 3135, 814, 3756, 267, 2835, 267, 13492, 543, 540, 1576, 26726, 24436, 563, 10674, 2517, 4178, 269, 629, 1097, 320, 2593, 270, 910, 1607, 568, 1776, 1390, 1565, 3135, 585, 3214, 269, 1703, 568, 3388, 689, 25478, 10632, 267, 547, 8641, 532, 267, 18963, 543, 811, 269, 4279, 585, 1565, 2038, 2979, 1983, 563, 4178, 14389, 1749, 8542, 1049, 613, 4919, 2593, 901, 568, 513, 1390, 3135, 585, 3695, 938, 1158, 543, 1565, 782, 596, 666, 827, 519, 7909, 267, 12292, 267, 17323, 543, 811, 256, 1703, 568, 513, 570, 2177, 540, 1344, 593, 713, 3135, 543, 849, 930, 1390, 7044, 267, 10658, 26072, 543, 17118, 2336, 268, 589, 8611, 540, 476, 1911, 269, 271, 610, 3152, 454, 268, 10374, 1145, 540, 7362, 610, 7411, 7244, 454, 268, 15901, 730, 24373, 609, 669, 1571, 454, 268, 590, 648, 11563, 454, 268, 26298, 10266, 454, 268, 1715, 2530, 540, 6492, 610, 9329, 454, 268, 5556, 3878, 24250, 22324, 715, 846, 454, 8923, 946, 713, 2228, 1582, 19295, 14982, 547, 948, 609, 5046, 268, 866, 30587, 281, 4179, 2517, 322, 10604, 866, 8234, 15318, 6983, 26501, 10993, 13045, 8512, 540, 8600, 1053, 585, 1565, 568, 547, 948, 4001, 873, 547, 723, 513, 2208, 14820, 269, 901, 1797, 3450, 873, 547, 5431, 602, 972, 616, 1978, 1919, 789, 616, 711, 2111, 547, 798, 962, 4953, 269, 1677, 798, 713, 596, 666, 948, 707, 1126, 1589, 1394, 547, 1919, 789, 2899, 7948, 1406, 798, 899, 14964, 513, 11332, 267, 4189, 593, 741, 1378, 610, 3478, 21039, 269, 29955, 873, 547, 723, 5132, 602, 952, 789, 2119, 741, 1655, 543, 3314, 602, 1175, 1317, 789, 666, 1406, 798, 1945, 2943, 267, 3085, 1406, 1611, 789, 4465, 1406, 2479, 581, 2111, 547, 269, 901, 14820, 2337, 1053, 1935, 1565, 609, 606, 1930, 2247, 269, 0, 309, 597, 6265, 807, 12565, 568, 1454, 4130, 267, 609, 4544, 3766, 2001, 1750, 4060, 269, 769, 519, 476, 1001, 279, 4005, 267, 519, 12389, 11076, 1185, 519, 6574, 7607, 540, 986, 2812, 26870, 538, 24811, 543, 5950, 883, 519, 3552, 269, 676, 14264, 773, 897, 11252, 267, 27095, 5324, 476, 276, 267, 476, 1001, 276, 538, 14828, 1299, 17758, 589, 1769, 20356, 539, 681, 573, 326, 3118, 779, 7841, 568, 6512, 539, 1354, 5305, 883, 15506, 19891, 657, 20698, 3019, 26954, 15944, 269, 2776, 16227, 1634, 607, 519, 804, 1952, 518, 7841, 267, 519, 2249, 2012, 729, 4957, 538, 476, 1001, 275, 547, 8956, 15022, 603, 6048, 7917, 681, 573, 326, 3118, 269, 1809, 1100, 3476, 269, 7797, 547, 4993, 4972, 540, 12551, 543, 10794, 269, 634, 772, 2529, 269, 674, 16703, 781, 21784, 2989, 1299, 29510, 15661, 3590, 3950, 1344, 827, 7396, 2249, 538, 519, 2136, 2276, 898, 3096, 922, 23773, 3915, 547, 16785, 883, 544, 28854, 19126, 585, 23787, 24260, 10352, 269, 9521, 519, 1849, 1952, 518, 12565, 267, 621, 849, 2729, 538, 15195, 23047, 1127, 267, 2059, 519, 2539, 12548, 5211, 543, 922, 29815, 2456, 269, 1358, 616, 1631, 9286, 607, 681, 573, 326, 3118, 779, 681, 5661, 269, 901, 814, 1044, 519, 1101, 4005, 2094, 476, 1001, 275, 602, 519, 12389, 11076, 814, 1185, 1079, 1761, 9960, 8424, 269, 3487, 6511, 2231, 5918, 772, 2529, 269, 2334, 568, 1946, 519, 700, 758, 306, 895, 1232, 18344, 568, 519, 1318, 3903, 269, 18599, 13155, 1769, 20356, 539, 681, 573, 326, 3118, 779, 986, 2812, 941, 5950, 538, 547, 519, 570, 6359, 340, 3570, 6215, 965, 2817, 13812, 25083, 593, 13638, 5239, 476, 272, 267, 476, 1001, 280, 607, 851, 2560, 13809, 543, 12159, 540, 7226, 21279, 519, 4797, 6228, 540, 713, 6177, 267, 4352, 2487, 2359, 3646, 616, 10941, 532, 1346, 3466, 538, 519, 3552, 269, 16890, 689, 772, 2529, 269, 769, 5385, 267, 596, 949, 21237, 1294, 476, 1789, 29364, 22099, 269, 681, 573, 326, 3118, 781, 12565, 568, 513, 3946, 727, 12457, 7146, 268, 6412, 344, 6177, 602, 2729, 1034, 540, 922, 1272, 10703, 4705, 538, 10053, 10664, 269, 8752, 20356, 539, 1849, 1952, 518, 681, 5661, 1831, 681, 573, 326, 3118, 779, 681, 5661, 269, 476, 1001, 275, 269, 3143, 2147, 1804, 986, 2812, 538, 922, 2039, 269, 22105, 281, 8752, 6363, 2393, 539, 681, 573, 326, 3118, 779, 12565, 10163, 648, 7111, 22911, 4133, 543, 1234, 915, 10374, 31645, 674, 1460, 525, 269, 901, 568, 519, 9803, 1293, 7381, 1221, 2094, 476, 1220, 280, 543, 5205, 513, 2196, 540, 3670, 15654, 1296, 538, 519, 8752, 20356, 539, 681, 573, 326, 3118, 779 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2040, 2719, 24582, 543, 519, 1970, 1780, 6882, 729, 513, 9168, 4528, 540, 835, 454, 326, 1508, 538, 519, 4967, 269, 1284, 1175, 22107, 10757, 519, 1699, 19141, 543, 1500, 519, 454, 10520, 626, 832, 9962, 547, 1489, 2362, 1699, 2095, 563, 347, 9928, 11490, 540, 5681, 2719, 2549, 680, 8595, 454, 1475, 299, 599, 719, 540, 5681, 2719, 454, 763, 2040, 2719, 7586, 11717, 454, 933, 1031, 729, 849, 2147, 547, 835, 2016, 538, 519, 1362, 4967, 269, 3962, 5951, 3403, 786, 454, 17647, 922, 1378, 4908, 543, 17931, 267, 865, 649, 991, 547, 1039, 519, 1367, 454, 600, 680, 6421, 693, 741, 7222, 4908, 3928, 269, 1703, 616, 1079, 1780, 19235, 829, 454, 339, 821, 267, 13234, 693, 519, 3977, 9219, 4908, 540, 1142, 8756, 267, 799, 6430, 519, 454, 6358, 547, 519, 2040, 2719, 24582, 269, 1403, 519, 9219, 568, 1164, 593, 513, 1880, 8756, 2676, 1492, 3617, 6453, 630, 326, 1508, 676, 519, 3159, 781, 9588, 267, 6740, 538, 1142, 8756, 994, 529, 4294, 547, 519, 3403, 269, 1403, 519, 9219, 568, 1970, 267, 1287, 717, 526, 568, 3177, 547, 519, 3403, 563, 16729, 519, 1780, 326, 919, 568, 513, 1305, 540, 2185, 19218, 834, 3316, 802, 2437, 835, 585, 1142, 454, 577, 14128, 267, 799, 4558, 519, 5279, 19017, 936, 513, 9219, 13942, 269, 2201, 519, 3977, 2676, 8408, 23799, 9084, 4386, 267, 865, 602, 782, 519, 6453, 2919, 936, 1142, 7936, 454, 15884, 3666, 2066, 782, 2185, 7936, 338, 543, 6556, 835, 8772, 540, 519, 2698, 5279, 454, 8999, 269, 901, 6453, 1287, 13462, 547, 519, 2942, 12363, 540, 519, 1985, 851, 540, 454, 8999, 2719, 24582, 267, 519, 1098, 17238, 766, 24582, 630, 320, 834, 338, 1619, 24582, 257, 1916, 19152, 883, 519, 1098, 17238, 766, 24582, 568, 519, 3328, 5279, 454, 8999, 332, 566, 693, 519, 2942, 12363, 267, 543, 519, 4704, 6453, 966, 10915, 693, 519, 454, 27168, 12363, 269, 966, 10915, 568, 519, 6453, 936, 799, 519, 3977, 5951, 845, 786, 581, 454, 1417, 1229, 269, 1280, 13156, 5301, 649, 8359, 966, 10915, 815, 476, 273, 269, 276, 309, 865, 519, 3977, 5951, 1131, 581, 454, 1417, 1229, 936, 513, 2039, 540, 827, 476, 271, 547, 476, 276, 269, 271, 309, 563, 763, 5955, 540, 519, 1098, 563, 2086, 269, 568, 513, 19218, 538, 6252, 609, 513, 19919, 269, 1763, 626, 832, 616, 711, 528, 13124, 454, 18528, 2159, 547, 2936, 538, 18328, 5308, 543, 2226, 513, 5276, 4483, 8984, 454, 531, 784, 609, 711, 2921, 909, 1932, 1454, 2230, 269, 634, 3070, 454, 13195, 547, 946, 606, 28679, 5308, 543, 6751, 5308, 24923, 538, 3126, 269, 634, 19235, 540, 454, 28205, 616, 7923, 547, 20382, 543, 723, 9186, 28696, 540, 966, 10915, 7132, 26553, 639, 476, 271, 269, 276, 309, 454, 27920, 1947, 269, 634, 19919, 1590, 581, 972, 547, 1450, 606, 4890, 9823, 6453, 1689, 693, 454, 309, 719, 269, 634, 19218, 1152, 10596, 519, 8028, 6712, 540, 519, 5951, 267, 865, 1510, 1312, 540, 454, 28205, 3334, 519, 14805, 566, 1223, 711, 2049, 563, 1103, 2489, 713, 5547, 454, 4754, 581, 2938, 607, 606, 12679, 1154, 24582, 609, 2744, 595, 325, 630, 1721, 519, 5955, 19218, 994, 323, 22866, 676, 476, 275, 290, 328, 630, 3225, 20884, 31887, 540, 2185, 29522, 538, 6252, 693, 519, 454, 6358, 1040, 634, 3977, 538, 938, 2013, 568, 519, 2040, 540, 519, 3403, 3159, 7586, 6421, 2053, 519, 454, 326, 664, 3773, 547, 513, 4704, 6453, 269, 634, 3977, 540, 713, 568, 1287, 4294, 547, 519, 1970, 454, 9928, 11490, 540, 476, 273, 526, 1931, 1970, 1780, 454, 1475, 299, 599, 719, 540, 476, 273, 526, 1931, 1970, 1780, 454, 32056, 10474, 540, 18734, 9577, 454, 2414, 1118, 713, 513, 19643, 10290, 1970, 1780, 454, 16344, 614, 267, 519, 1101, 3364, 649, 1705, 729, 2328, 1524, 519, 4483, 1599, 540, 454, 10472, 28176, 269, 901, 568, 6508, 1210, 519, 2241, 3652, 2404, 609, 454, 6016, 1049, 7586, 13294, 5941, 538, 938, 4967, 543, 538, 1362, 563, 3698, 6873, 540, 513, 7423, 10290, 6882, 6257, 519, 4483, 1599, 540, 519, 454, 16344, 614, 607, 2348, 1079, 18635, 609, 2942, 1483, 2694, 269, 1358, 616, 1950, 543, 454, 732, 4092, 693, 910, 13670, 334, 543, 1341, 13670, 334, 538, 519, 1950, 7077, 563, 3383, 547, 2057, 14251, 566, 543, 723, 513, 1483, 7423, 10290, 6882, 649, 1185, 547, 3514, 454, 712, 3830, 547, 713, 23061, 563, 763, 1985, 1900, 729, 8159, 519, 454, 10520, 17238, 766, 2418, 630, 326, 543, 1627, 264, 585, 1142, 2759, 4752, 4908, 630, 325, 322, 1916, 4322, 2418, 941, 5833, 676, 1210, 519, 4834, 454, 32056, 10474, 540, 575, 547, 1627, 454, 8794, 519, 910, 13670, 334, 454, 663, 1341, 13670, 334, 15393, 4087, 4214, 540, 513, 19643, 10290, 6882, 267, 649, 454, 338, 9407, 513, 2489, 2034, 1931, 4483, 1599, 538, 2474, 540, 521, 543, 922, 454, 935, 24503, 622, 269, 1284, 1287, 1305, 713, 1871, 3160, 547, 519, 1267, 5833, 689, 519, 454, 1457, 10474, 540, 519, 4483, 1599, 540, 938, 28176, 543, 5462, 875, 454, 1492, 575, 543, 1627, 941, 1644, 563, 2171, 5462, 602, 1627, 568, 1644, 547, 575, 454, 2421, 513, 3815, 540, 1079, 14263, 519, 4009, 3597, 540, 1079, 563, 263, 274, 264, 575, 815, 546, 296, 14370, 341, 273, 8686, 272, 994, 935, 329, 4233, 609, 519, 1098, 17238, 766, 24582, 8984, 13602, 540, 594, 719, 5288, 454, 17635, 273, 8686, 272, 1070, 543, 594, 719, 607, 1599, 540, 966, 321, 5362, 563, 347, 2080, 649, 28367, 594, 719, 607, 513, 1599, 540, 642, 273, 269, 1284, 4682, 454, 12671, 713, 4729, 676, 21338, 642, 272, 693, 476, 273, 309, 543, 1287, 27789, 454, 341, 273, 269, 3245, 713, 3113, 649, 7747, 519, 9386, 269, 634, 9386, 14687, 454, 1729, 938, 1098, 17238, 766, 1871, 269, 1548, 649, 2832, 585, 1934, 568, 513, 1804, 2039, 936, 454, 6518, 519, 9386, 630, 10520, 17238, 766, 1871, 264, 568, 3586, 269, 3776, 11378, 786, 454, 323, 2570, 593, 938, 3159, 7586, 6421, 267, 2418, 936, 799, 649, 723, 2370, 1852, 563, 11997, 547, 581, 2922, 649, 5129, 609, 2418, 2394, 649, 6603, 513, 6899, 454, 271, 269, 272, 309, 11539, 2039, 269, 26023, 713, 1797, 602, 607, 1279, 607, 519, 3017, 454, 24992, 938, 11378, 630, 1729, 1098, 18041, 264, 9114, 1369, 519, 476, 271, 269, 272, 309, 2039, 267, 519, 1970, 10139, 454, 16344, 614, 786, 960, 7157, 269, 11406, 16085, 6295, 585, 546, 296, 454, 763, 966, 321, 5362, 12193, 585, 538, 519, 454, 18431, 1900, 786, 581, 519, 575, 2418, 649, 1616, 585, 1142, 540, 519, 9757, 2759, 4752, 454, 325, 7528, 4293, 538, 519, 1970, 1780, 6882, 269, 1284, 1287, 4194, 585, 1627, 1210, 519, 2078, 454, 11398, 4505, 269, 2353, 891, 2418, 616, 4092, 538, 519, 8930, 719, 3349, 563, 347, 8794, 713, 546, 309, 543, 519, 2078, 575, 284, 323, 296, 7933, 309, 267, 649, 1287, 4194, 454, 1721, 594, 269, 3767, 782, 649, 798, 568, 1265, 519, 966, 321, 5362, 7222, 547, 594, 269, 901, 454, 529, 6913, 676, 11287, 519, 594, 719, 5288, 269, 966, 321, 5362, 454, 30447, 1222, 540, 938, 1098, 17238, 766, 269, 1284, 10250, 938, 24441, 594, 547, 519, 454, 7120, 1540, 7455, 269, 3776, 7222, 966, 321, 5362, 568, 519, 835, 649, 1616, 563, 16085, 6295, 585, 966, 321, 5362, 454, 763, 3059, 543, 12746, 2694, 540, 519, 13863, 941, 7318, 454, 572, 704, 2299, 547, 26924, 1697, 10512, 2623, 267, 1287, 7923, 1927, 593, 519, 454, 577, 760, 269, 1677, 2061, 13311, 5106, 540, 519, 12746, 3334, 267, 649, 8359, 547, 946, 454, 18314, 6453, 2959, 269, 589, 3059, 2707, 799, 1131, 20496, 513, 1978, 2179, 540, 454, 321, 8784, 543, 530, 24513, 548, 267, 543, 513, 1412, 30236, 262, 12746, 2707, 609, 513, 8799, 11931, 1871, 269, 634, 454, 3033, 338, 941, 6074, 547, 581, 519, 1482, 267, 855, 1152, 1310, 4478, 782, 519, 3059, 454, 30672, 609, 513, 13557, 543, 4496, 4276, 547, 2666, 269, 901, 1058, 2061, 519, 2666, 454, 321, 8784, 8984, 540, 6385, 15175, 3059, 3334, 689, 23494, 454, 320, 977, 532, 519, 12746, 2694, 540, 938, 13863, 563, 347, 280, 3953, 13703, 6383, 3159, 454, 763, 3105, 11708, 1397, 454, 18314, 540, 519, 2009, 12451, 6383, 676, 519, 3059, 851, 540, 519, 13863, 269, 1452, 454, 732, 1079, 540, 519, 5207, 12451, 519, 13863, 786, 5352, 267, 543, 607, 971, 723, 519, 454, 327, 580, 4554, 2009, 5470, 543, 1491, 519, 2547, 2179, 540, 942, 547, 18082, 269, 1306, 621, 729, 2676, 26421, 540, 891, 1079, 13602, 3576, 827, 476, 1839, 3764, 547, 18082, 269, 1284, 8263, 602, 2094, 454, 28205, 1079, 12451, 3977, 7157, 543, 519, 7954, 9013, 519, 9219, 3403, 454, 4103, 7157, 267, 519, 824, 12451, 786, 5352, 7157, 607, 1134, 563, 1607, 568, 519, 4483, 8984, 540, 454, 1492, 7423, 10290, 1970, 1780, 6882, 585, 476, 4335, 13703, 269, 898, 814, 513, 8445, 693, 476, 4335, 13703, 543, 513, 9425, 454, 3333, 17369, 7771, 909, 547, 827, 476, 1220, 271, 13703, 563, 29002, 909, 1079, 454, 325, 7528, 4293, 267, 476, 279, 3199, 13703, 543, 476, 31275, 13703, 267, 649, 1205, 519, 1657, 5951, 845, 269, 2201, 519, 2451, 568, 519, 454, 262, 728, 531, 262, 5951, 845, 1178, 335, 1117, 609, 4223, 18350, 267, 543, 593, 519, 1318, 568, 519, 5951, 845, 602, 938, 454, 577, 760, 7472, 269, 1306, 666, 3362, 581, 2938, 519, 2164, 616, 1360, 2147, 563, 1607, 568, 519, 2040, 540, 454, 22764, 12451, 267, 476, 279, 3199, 13703, 267, 476, 280, 3953, 13703, 543, 476, 31275, 13703, 269, 4746, 267, 519, 476, 280, 3953, 13703, 5951, 568, 3368, 519, 454, 332, 1725, 3363, 540, 519, 824, 1079, 267, 607, 2016, 609, 938, 6388, 282, 1775, 4318, 1421, 519, 476, 280, 3953, 13703, 454, 24859, 3096, 966, 272, 607, 922, 9588, 6453, 543, 519, 824, 1079, 946, 966, 273, 607, 741, 454, 332, 1725, 3363, 6453, 269, 901, 3977, 3085, 1405, 3833, 1246, 519, 835, 689, 4223, 18350, 607, 454, 29148, 569, 607, 519, 3105, 835, 267, 2523, 2282, 519, 1647, 269, 3683, 513, 3677, 1974, 540, 454, 5503, 267, 519, 5951, 845, 1281, 1413, 811, 2147, 547, 519, 1412, 728, 531, 262, 5951, 845, 269, 1703, 568, 849, 454, 320, 18476, 5123, 6521, 593, 519, 6786, 689, 519, 13863, 799, 3123, 930, 540, 519, 454, 4134, 920, 32735, 269, 1717, 267, 5123, 13346, 513, 3159, 3085, 1405, 1860, 519, 2949, 3280, 547, 454, 320, 1480, 1274, 865, 713, 3977, 568, 11807, 563, 19869, 31608, 267, 570, 269, 23968, 599, 267, 834, 24523, 2480, 2297, 910, 22039, 2676, 24687, 267, 4239, 2314, 267, 10371, 1421, 257, 5291, 2517, 1399, 8403, 8807, 872, 344, 3641, 2593, 270, 275, 2675, 2297, 21867, 454, 654, 8636, 2006, 267, 645, 269, 589, 269, 3248, 15900, 267, 590, 13034, 5919, 11619, 619, 577, 18283, 267, 667, 14371, 1421, 834, 288, 10434, 2264, 5564, 32050, 7913, 22039, 454, 306, 9321, 1127, 6500, 2580, 20959, 3690, 13905, 593, 3600, 24065, 923, 267, 16594, 267, 543, 28686, 14409, 2676, 14157, 269, 6789, 9915, 268, 2767, 267, 3143, 269, 476, 277, 267, 5412, 476, 3192, 280, 269, 533, 7714, 476, 3199, 275, 268, 3199, 280, 563, 295, 24513, 1231, 267, 17555, 5336, 541, 773, 267, 834, 293, 537, 8175, 31349, 257, 5291, 2517, 4178, 17085, 889, 328, 269, 773, 270, 600, 327, 24513, 1231, 11721, 537, 8175, 272, 11258, 0, 763, 2887, 3562, 2914, 5793, 12450, 9440, 2504, 1062, 538, 519, 4571, 268, 4263, 23007, 5032, 3148, 10905, 519, 1007, 4066, 585, 8708, 1242, 21543, 630, 680, 1872, 264, 2030, 2504, 609, 519, 6870, 2528, 1062, 630, 307, 8898, 320, 267, 476, 1960, 280, 1040, 10374, 6377, 12450, 9440, 28212, 971, 607, 25844, 710, 630, 2419, 663, 2401, 1696, 620, 1421, 476, 1220, 275, 1070, 25941, 2401, 630, 309, 1054, 543, 20780, 327, 32231, 267, 476, 2735, 275, 1070, 543, 21690, 24898, 630, 2419, 663, 2401, 1696, 620, 1421, 476, 1960, 278, 264, 723, 1044, 13251, 547, 8768, 538, 519, 2887, 1510, 20392, 1098, 17852, 547, 3579, 5210, 610, 2110, 6377, 2175, 630, 307, 8898, 320, 543, 1715, 749, 267, 476, 1220, 277, 320, 267, 476, 1220, 277, 321, 1040, 9737, 476, 10463, 260, 543, 476, 1911, 260, 540, 2048, 290, 1301, 710, 685, 1098, 17852, 602, 941, 9070, 730 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 540, 7665, 6202, 779, 4834, 585, 1100, 942, 8390, 269, 769, 1448, 1106, 267, 891, 616, 281, 12821, 1380, 685, 4521, 585, 519, 3167, 2361, 20271, 894, 3959, 540, 519, 11979, 3167, 2361, 2549, 335, 699, 779, 8562, 340, 1388, 4521, 12821, 1380, 685, 4521, 585, 519, 25080, 12197, 1141, 267, 538, 1863, 2230, 281, 31056, 2242, 538, 519, 1657, 2185, 4834, 786, 2049, 950, 519, 4610, 616, 4847, 547, 4268, 609, 942, 267, 607, 649, 3580, 1294, 2663, 780, 16655, 6202, 779, 12307, 538, 14066, 17361, 4813, 454, 763, 27754, 11532, 543, 853, 10280, 685, 11532, 666, 581, 4294, 547, 519, 3105, 2185, 1448, 1106, 4834, 547, 6556, 519, 7533, 1106, 540, 7665, 6202, 779, 4834, 585, 11979, 4610, 281, 12821, 1380, 685, 4521, 585, 519, 3167, 2361, 20271, 894, 3959, 540, 519, 11979, 3167, 2361, 2549, 335, 699, 779, 8562, 340, 1388, 4521, 12821, 1380, 685, 4521, 585, 519, 6419, 2361, 692, 7078, 281, 25080, 12071, 343, 10738, 513, 3213, 32681, 7412, 454, 323, 645, 6333, 513, 3259, 546, 540, 1071, 1314, 267, 607, 3254, 1934, 269, 634, 6419, 2361, 4222, 1063, 26423, 568, 281, 543, 865, 281, 634, 6419, 13441, 568, 1631, 519, 7533, 540, 645, 936, 519, 6366, 2627, 1063, 2234, 4512, 513, 543, 536, 267, 543, 540, 3259, 546, 2059, 1990, 281, 634, 1267, 568, 281, 634, 1071, 1314, 1899, 3976, 968, 560, 2803, 892, 713, 2179, 540, 6419, 13441, 538, 519, 3148, 1063, 26423, 269, 901, 786, 723, 2956, 950, 649, 1865, 32366, 766, 538, 513, 2663, 11000, 780, 306, 5632, 541, 25080, 15783, 454, 2171, 616, 2907, 5432, 609, 519, 6935, 1063, 519, 22185, 3167, 1761, 543, 3167, 2361, 281, 1924, 621, 568, 15673, 532, 547, 5581, 513, 22185, 6419, 1761, 971, 602, 281, 901, 4341, 1590, 581, 5812, 609, 7665, 6202, 779, 4834, 267, 865, 4061, 281, 1809, 519, 1225, 331, 540, 519, 13506, 540, 1022, 1599, 568, 1541, 1227, 4642, 256, 4475, 267, 519, 22185, 6419, 1761, 568, 4570, 1152, 538, 4525, 1141, 519, 1699, 5860, 568, 4642, 630, 7945, 607, 538, 1863, 2230, 1040, 1924, 649, 5581, 22185, 6419, 1761, 609, 513, 2783, 1384, 10702, 21976, 593, 519, 2480, 531, 541, 25080, 15783, 454, 763, 824, 7665, 6202, 3830, 5473, 6419, 2361, 1590, 849, 581, 13854, 269, 901, 568, 281, 538, 1863, 2230, 4475, 281, 10371, 663, 865, 519, 22185, 6419, 1761, 25389, 5487, 2897, 779, 3830, 630, 28785, 609, 519, 19231, 602, 1699, 5860, 1590, 581, 4642, 1384, 7078, 281, 3213, 32681, 28298, 7412, 454, 4415, 519, 4099, 18364, 1699, 13576, 856, 540, 519, 5496, 267, 649, 723, 4935, 281, 1924, 649, 4194, 281, 10371, 543, 3489, 281, 1141, 519, 5610, 3586, 814, 1044, 1305, 547, 4642, 692, 288, 3387, 580, 340, 885, 538, 519, 2480, 531, 541, 15783, 454, 763, 22185, 1761, 568, 1631, 281, 1141, 519, 1761, 568, 4642, 693, 2311, 1448, 623, 630, 3738, 519, 1761, 568, 1809, 7227, 256, 1306, 4679, 547, 649, 723, 8120, 547, 519, 1482, 2168, 4087, 267, 543, 519, 1761, 814, 513, 1007, 1871, 540, 910, 296, 269, 769, 2489, 267, 519, 1761, 693, 623, 786, 581, 1617, 2526, 4240, 267, 543, 786, 10536, 513, 1007, 1871, 1310, 1142, 2407, 10047, 538, 519, 27976, 7077, 1384, 7021, 5765, 519, 2549, 15927, 8462, 454, 21574, 8175, 693, 1677, 4894, 519, 13509, 267, 649, 4020, 513, 6310, 11064, 693, 1022, 1871, 540, 943, 328, 269, 634, 5086, 6389, 3112, 3444, 713, 11064, 538, 2901, 4287, 267, 543, 865, 519, 1761, 1599, 568, 11658, 547, 7285, 593, 2901, 2427, 269, 769, 519, 1459, 2013, 649, 3442, 519, 11064, 547, 9114, 693, 865, 602, 634, 1761, 693, 1448, 623, 568, 1631, 2582, 29705, 4240, 1384, 309, 10725, 25080, 15783, 454, 2171, 1118, 946, 540, 519, 7665, 6202, 3830, 281, 10371, 543, 519, 1249, 602, 519, 27754, 540, 519, 1225, 331, 540, 1022, 6152, 2361, 568, 1541, 1227, 4642, 630, 19651, 713, 14386, 901, 5012, 547, 519, 4214, 540, 519, 6419, 6152, 1761, 267, 589, 281, 4935, 281, 543, 2549, 335, 699, 779, 4521, 3587, 692, 13420, 566, 585, 519, 21070, 15783, 454, 2171, 1376, 609, 281, 3973, 267, 6338, 513, 6152, 3961, 602, 11225, 519, 6152, 5487, 680, 659, 1014, 281, 4635, 513, 630, 26319, 344, 264, 5650, 630, 5408, 27116, 269, 476, 278, 269, 278, 264, 621, 666, 581, 8810, 602, 476, 464, 2171, 616, 4061, 2451, 609, 692, 763, 667, 3925, 540, 589, 1284, 1631, 723, 769, 14328, 10974, 912, 763, 3830, 24508, 547, 2285, 281, 901, 6920, 602, 519, 4287, 540, 589, 786, 581, 519, 1482, 607, 602, 540, 519, 1699, 547, 799, 621, 568, 2404, 269, 630, 2254, 865, 2241, 538, 519, 824, 11282, 1949, 264, 634, 6152, 2361, 267, 589, 267, 4540, 538, 782, 2230, 267, 568, 3006, 4330, 607, 1373, 513, 968, 14673, 21424, 3239, 892, 540, 922, 10451, 1699, 780, 22091, 11306, 585, 15783, 454, 13706, 513, 11186, 2609, 267, 3254, 1934, 269, 2201, 519, 2451, 568, 513, 1448, 5279, 6719, 676, 513, 11186, 3259, 540, 1899, 5279, 269, 2201, 519, 1318, 568, 513, 11186, 1699, 3693, 269, 634, 1305, 5725, 585, 13844, 1761, 616, 9838, 1063, 519, 1079, 2665, 269, 7412, 932, 1618, 7412, 7351, 2480, 531, 541, 5082, 15543, 1738, 15783, 21070, 25080, 15783, 692, 14197, 25285, 585, 21070, 15783, 454, 2690, 1804, 4336, 5279, 610, 1699, 14778, 267, 649, 1131, 2040, 519, 11186, 7418, 676, 10128, 936, 519, 5279, 610, 1699, 267, 3976, 281, 543, 634, 6806, 2619, 7533, 568, 3144, 1317, 519, 1699, 1590, 2673, 593, 3294, 547, 1106, 513, 2347, 5547, 269, 1280, 2627, 610, 4320, 1699, 14778, 267, 649, 1131, 723, 267, 6606, 281, 610, 538, 519, 1482, 6073, 602, 649, 1031, 585, 22185, 3167, 1761, 780, 7078, 1284, 3136, 609, 519, 11186, 1699, 3693, 607, 3254, 1934, 281, 769, 713, 2013, 3587, 693, 1448, 623, 281, 3767, 267, 519, 1225, 331, 568, 3144, 538, 20425, 10974, 281, 901, 568, 519, 1482, 1267, 607, 1336, 1210, 519, 645, 3999, 4149, 822, 691, 4521, 630, 553, 621, 1058, 581, 264, 0, 2162, 5851, 3436, 595, 3201, 290, 3436, 3848, 476, 273, 3436, 7689, 476, 273, 269, 275, 269, 272, 3436, 9046, 273, 268, 15793, 692, 273, 268, 15793, 780, 306, 8208, 577, 513, 3113, 540, 519, 3148, 22112, 676, 519, 3252, 1269, 325, 3287, 264, 815, 1535, 317, 273, 8961, 1269, 326, 3287, 264, 815, 6567, 273, 343, 1341, 476, 279, 8961, 543, 519, 1269, 343, 27572, 9471, 780, 272, 269, 1215, 1223, 596, 7447, 519, 1858, 538, 713, 3148, 2496, 273, 269, 4635, 707, 1505, 267, 7447, 519, 1858, 540, 519, 3148, 780, 20877, 519, 3252, 269, 1744, 1228, 519, 3148, 269, 4855, 782, 4143, 28963, 281, 7316, 1281, 1269, 325, 3287, 7751, 12969, 609, 1269, 326, 3287, 7751, 286, 7316, 1281, 1142, 1599, 3444, 519, 1269, 343, 27572, 9471, 286, 1215, 1082, 29398, 786, 596, 991, 2496, 763, 3252, 12969, 693, 18121, 273, 267, 476, 275, 259, 1040, 634, 1858, 1058, 581, 4114, 13846, 609, 25965, 610, 25671, 6950, 585, 1269, 271, 18016, 1535, 18016, 476, 273, 259, 543, 3773, 547, 519, 1858, 540, 519, 6906, 585, 1269, 273, 18016, 1535, 18016, 476, 275, 16859, 15307, 23660, 786, 4268, 269, 1858, 1109, 7445, 13627, 1422, 2765, 346, 272, 2410, 4335, 4153, 8999, 3709, 333, 284, 271, 8703, 15886, 4153, 19136, 7268, 2765, 23533, 2410, 4335, 4153, 19136, 8203, 273, 10954, 2765, 346, 272, 2410, 273, 12917, 273, 7565, 275, 9385, 13627, 476, 277, 269, 5780, 20728, 346, 4559, 11892, 273, 259, 0, 258, 4855, 519, 1858, 540, 519, 5823, 540, 513, 5858, 2348, 8953, 476, 277, 4699, 543, 540, 5086, 476, 1789, 4113, 780, 9223, 1384, 8340, 519, 1858, 540, 519, 5823, 540, 513, 5858, 2348, 8953, 476, 277, 4699, 543, 540, 5086, 476, 1789, 4113, 780, 11405, 1384, 2171, 723, 1269, 337, 284, 277, 1422, 9507, 346, 349, 9492, 4151, 543, 4399, 9064, 284, 1789, 17353, 15132, 10592, 3086, 267, 9351, 540, 5823, 1269, 7807, 2765, 3189, 9064, 2410, 11740, 17353, 15132, 3686, 1422, 9392, 1422, 7032, 678, 3867, 273, 18098, 2765, 346, 1789, 17353, 15132, 12453, 11740, 17353, 15132, 3686, 1422, 9392, 476, 274, 269, 1691, 1422, 9392, 476, 3607, 284, 280, 269, 5655, 1422, 9507, 346, 349, 9492, 8703, 273, 10592, 17798, 267, 519, 1858, 540, 519, 5823, 540, 519, 5858, 568, 1269, 280, 269, 5655, 1422, 9507, 346, 349, 9492, 8703, 273, 23201, 0, 14396, 692, 14006, 539, 676, 16317, 320, 476, 736, 11281, 9206, 5234, 5641, 338, 513, 14692, 540, 476, 1321, 11281, 269, 6343, 568, 5086, 540, 3141, 7590, 547, 519, 3529, 692, 1892, 2257, 910, 692, 11927, 288, 815, 962, 270, 311, 815, 476, 736, 270, 1321, 815, 476, 272, 269, 26116, 277, 454, 288, 815, 476, 6795, 334, 780, 13436, 5999, 692, 272, 269, 4569, 692, 288, 3529, 5641, 338, 513, 14692, 602, 3800, 476, 276, 332, 269, 2311, 519, 1482, 942, 28083, 11281, 6529, 5641, 338, 513, 14692, 602, 568, 476, 271, 269, 275, 332, 1279, 269, 1215, 7381, 568, 519, 3529, 888, 273, 269, 4569, 476, 12893, 692, 288, 3529, 5641, 338, 513, 14692, 602, 3800, 476, 276, 544, 269, 2311, 519, 1482, 942, 267, 513, 11281, 6529, 5641, 338, 513, 14692, 602, 568, 476, 271, 269, 275, 544, 1279, 269, 1215, 7381, 568, 519, 3529, 888, 274, 269, 2979, 476, 12893, 8863, 476, 278, 692, 288, 3529, 5641, 338, 513, 14692, 602, 3800, 476, 276, 544, 269, 2311, 519, 1482, 942, 267, 513, 11281, 6529, 5641, 338, 513, 14692, 602, 568, 476, 271, 269, 275, 544, 1279, 269, 1215, 7381, 568, 519, 3529, 888, 275, 269, 2979, 692, 288, 12566, 3529, 5641, 338, 513, 476, 1321, 2173, 2678, 14692, 593, 1377, 2666, 269, 634, 5086, 540, 15038, 689, 519, 9133, 540, 519, 14692, 547, 519, 1283, 540, 519, 3529, 568, 476, 2004, 5232, 269, 1677, 519, 14282, 20870, 540, 513, 11281, 267, 1018, 568, 519, 4463, 540, 519, 12566, 3529, 888, 276, 269, 2979, 692, 288, 12566, 3529, 5641, 338, 513, 476, 1321, 2173, 2678, 14692, 593, 1377, 2666, 269, 634, 5086, 540, 15038, 689, 519, 9133, 540, 519, 14692, 547, 519, 1283, 540, 519, 3529, 568, 476, 2004, 5232, 269, 1677, 519, 14282, 20870, 540, 513, 11281, 267, 1018, 568, 519, 4463, 540, 519, 12566, 3529, 888, 277, 269, 4569, 692, 288, 3529, 5641, 338, 513, 14692, 602, 3800, 476, 276, 544, 269, 2311, 519, 1482, 942, 267, 513, 11281, 6529, 5641, 338, 513, 14692, 602, 568, 476, 271, 269, 275, 544, 1279, 269, 1215, 7381, 568, 519, 3529, 888, 278, 269, 2979, 692, 288, 3529, 5641, 338, 513, 14692, 602, 3800, 476, 276, 544, 269, 2311, 519, 1482, 942, 267, 513, 11281, 6529, 5641, 338, 513, 14692, 602, 568, 476, 271, 269, 275, 544, 1279, 269, 1215, 7381, 568, 519, 3529, 888, 279, 269, 2979, 692, 2252, 513, 476, 1789, 2173, 2678, 12566, 3529, 5641, 338, 513, 14692, 540, 476, 1789, 11281, 267, 875, 2484, 568, 519, 9133, 540, 519, 14692, 689, 1283, 540, 519, 3529, 888, 280, 269, 2979, 692, 534, 3167, 15393, 568, 476, 2190, 11281, 1164, 5641, 338, 513, 14692, 540, 476, 736, 11281, 1279, 26098, 519, 4463, 540, 519, 3529, 952, 621, 5641, 525, 513, 14692, 540, 476, 1428, 11281, 1279, 896, 2147, 2175, 454, 1015, 269, 2979, 692, 534, 3167, 15393, 568, 476, 2190, 11281, 1164, 5641, 338, 513, 14692, 540, 476, 736, 11281, 1279, 26098, 519, 4463, 540, 519, 3529, 952, 621, 5641, 525, 513, 14692, 540, 476, 1428, 11281, 1279, 896, 2147, 2175, 269, 1496, 1410, 21622, 543, 1118, 519, 3349, 952, 1463, 610, 11201, 8390, 6540, 5415, 5381, 5999, 0, 1012, 6875, 3733, 674, 1111, 18527, 4147, 692, 288, 834, 293, 1111, 18527, 4147, 257, 1627, 292, 257, 568, 513, 3044, 6310, 2165, 585, 513, 20902, 6024, 4082, 799, 568, 8246, 547, 8207, 11186, 12596, 543, 814, 2533, 799, 616, 6296, 269, 769, 11186, 4147, 6061, 267, 513, 674, 1111, 18527, 1599, 267, 610, 834, 15153, 257, 568, 1031, 780, 763, 674, 1111, 18527, 4147, 538, 4147, 2186, 666, 581, 7000, 607, 281, 1627, 263, 1535, 264, 815, 910, 330, 343, 273, 267, 1141, 1627, 263, 1535, 264, 616, 519, 674, 1111, 18527, 4147, 543, 621, 568, 606, 1271, 2165, 269, 634, 7117, 851, 540, 519, 4147, 568, 519, 674, 1111, 18527, 3586, 267, 6466, 519, 1535, 851, 568, 519, 674, 1111, 18527, 1599, 780, 2467, 616 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 799, 476, 10695, 14999, 29670, 538, 6917, 2127, 267, 799, 568, 1946, 1034, 1055, 3766, 5090, 1949, 616, 1031, 538, 6917, 2127, 269, 898, 814, 513, 1970, 1942, 2973, 7791, 267, 6325, 543, 10375, 267, 2653, 547, 3888, 543, 5826, 2934, 267, 835, 6066, 5092, 666, 581, 22121, 585, 811, 982, 476, 1839, 1296, 540, 1379, 3761, 563, 19423, 21935, 2792, 3490, 6728, 1062, 454, 4415, 519, 7839, 946, 543, 2956, 540, 26313, 538, 2413, 2486, 267, 7658, 1260, 5989, 814, 1044, 3710, 1063, 4872, 543, 4872, 269, 769, 1931, 547, 1265, 5078, 2959, 540, 1055, 3766, 5090, 1379, 3761, 267, 1247, 10893, 1648, 3790, 543, 2825, 1764, 267, 519, 7658, 1260, 2872, 568, 11235, 547, 1265, 3435, 689, 519, 25675, 2872, 547, 5372, 519, 8723, 1379, 540, 519, 3070, 454, 288, 3070, 269, 634, 3859, 1055, 3766, 5090, 1062, 2488, 3435, 602, 666, 2743, 519, 2115, 540, 26313, 269, 5510, 21935, 3859, 2792, 3490, 6728, 645, 4811, 666, 581, 8704, 21066, 543, 786, 711, 1491, 909, 1932, 1454, 2244, 2200, 267, 543, 666, 5612, 5352, 5201, 269, 5510, 21935, 2792, 3490, 6728, 1062, 609, 6325, 1379, 2200, 267, 7850, 1648, 4859, 547, 5965, 585, 20314, 4293, 282, 849, 814, 513, 2973, 543, 7791, 267, 2653, 547, 2226, 543, 865, 593, 267, 1970, 21057, 5092, 666, 1205, 476, 1839, 1296, 540, 1379, 3761, 269, 9891, 8265, 1769, 1062, 454, 5978, 3859, 8265, 1769, 1062, 3096, 3608, 3334, 547, 1683, 1379, 2959, 269, 4438, 519, 1554, 267, 519, 3334, 5279, 519, 6007, 282, 693, 3781, 267, 519, 6007, 568, 519, 1769, 15941, 454, 17809, 728, 7850, 1379, 3761, 269, 898, 814, 513, 2603, 540, 1852, 7154, 267, 971, 607, 942, 1852, 267, 1769, 1852, 267, 6552, 1852, 267, 3092, 1421, 596, 798, 711, 991, 547, 13948, 13861, 621, 267, 849, 991, 1100, 7294, 543, 7199, 5911, 10612, 18413, 269, 769, 1840, 267, 713, 3859, 8265, 1769, 3096, 513, 1970, 6453, 9823, 1379, 3761, 267, 799, 2306, 621, 10930, 543, 811, 6325, 267, 543, 621, 666, 581, 4922, 1031, 538, 1835, 1170, 2275, 1484, 10754, 267, 6917, 9897, 543, 865, 593, 269, 0, 16248, 1480, 4909, 4690, 454, 7628, 519, 1279, 1353, 540, 519, 15099, 621, 814, 13631, 3007, 711, 1152, 540, 15338, 690, 1132, 267, 855, 540, 519, 2898, 2486, 538, 2489, 267, 519, 3406, 540, 6114, 610, 3515, 540, 2962, 547, 2087, 519, 2069, 538, 938, 2197, 269, 2201, 519, 1739, 3817, 594, 786, 1020, 519, 15099, 607, 513, 1523, 855, 607, 513, 2686, 4070, 543, 602, 849, 2636, 547, 10891, 513, 1305, 540, 3872, 2853, 563, 763, 15099, 568, 711, 513, 1523, 267, 855, 513, 2686, 4070, 269, 2334, 568, 547, 2161, 621, 568, 711, 513, 2243, 540, 606, 7493, 1523, 602, 814, 1022, 6228, 547, 851, 540, 543, 30675, 547, 519, 1480, 1995, 269, 898, 568, 267, 593, 519, 824, 1688, 267, 513, 1259, 540, 12180, 513, 1305, 540, 3872, 1480, 2853, 269, 1924, 1454, 519, 12497, 543, 2686, 1935, 267, 789, 1780, 547, 513, 15099, 607, 513, 1514, 4070, 267, 2094, 606, 1271, 3693, 14687, 538, 519, 1153, 585, 7587, 5024, 513, 851, 540, 1010, 2528, 269, 18124, 590, 14371, 745, 526, 344, 602, 968, 547, 3717, 827, 519, 15099, 13054, 1776, 1259, 540, 6340, 827, 3872, 2853, 540, 1978, 5238, 9232, 543, 547, 1174, 519, 1657, 5018, 2853, 568, 2556, 547, 2743, 519, 10661, 543, 519, 2486, 538, 7247, 621, 568, 17332, 267, 1010, 3919, 543, 519, 13279, 593, 799, 621, 568, 9112, 269, 901, 1935, 13054, 513, 4161, 585, 519, 4116, 267, 2094, 972, 786, 723, 547, 3747, 689, 1864, 519, 946, 540, 5078, 2994, 540, 2069, 602, 789, 1058, 26924, 1713, 1565, 538, 519, 3318, 2866, 267, 855, 8195, 547, 7703, 1360, 1454, 538, 2247, 519, 5683, 851, 267, 6236, 585, 621, 519, 2956, 602, 621, 1590, 3651, 547, 1864, 547, 519, 13998, 1713, 9115, 538, 519, 3140, 2686, 2796, 563, 763, 12497, 1935, 540, 519, 15099, 14687, 547, 602, 540, 513, 2638, 9007, 609, 2543, 547, 519, 1788, 540, 513, 2777, 267, 18562, 267, 513, 2686, 5133, 540, 22098, 1131, 723, 811, 602, 547, 1294, 609, 519, 8075, 538, 799, 519, 7606, 2661, 2907, 267, 609, 519, 4128, 602, 1291, 873, 547, 2713, 538, 873, 543, 875, 1590, 513, 2777, 581, 950, 789, 1616, 547, 1689, 2531, 545, 850, 269, 634, 2686, 1862, 0, 1607, 568, 513, 7756, 9877, 540, 12071, 17897, 454, 295, 272, 301, 272, 12071, 910, 17897, 531, 12071, 454, 295, 272, 301, 272, 543, 12119, 2770, 666, 1491, 513, 1483, 17167, 593, 707, 1053, 269, 670, 272, 301, 272, 814, 4299, 1453, 543, 1762, 4079, 693, 513, 3152, 2557, 982, 519, 2834, 12119, 2770, 269, 20290, 3368, 540, 519, 1004, 32509, 689, 670, 272, 301, 272, 723, 1044, 896, 519, 2085, 540, 476, 2190, 269, 1656, 1256, 513, 7646, 2013, 540, 670, 272, 301, 272, 666, 723, 513, 1713, 1764, 563, 1607, 1032, 781, 2770, 4005, 568, 17191, 547, 581, 513, 1279, 835, 267, 543, 949, 2063, 2429, 519, 5162, 563, 763, 2582, 267, 1034, 2500, 1259, 547, 2149, 3054, 1996, 519, 2770, 568, 547, 4309, 1312, 519, 670, 272, 301, 272, 543, 12119, 2770, 15833, 269, 634, 12080, 540, 2657, 543, 7043, 31645, 5516, 568, 6998, 585, 707, 948, 538, 8716, 3237, 547, 3717, 547, 741, 1453, 827, 3478, 18764, 563, 2080, 616, 930, 2472, 602, 649, 4126, 786, 948, 596, 3262, 519, 2262, 912, 5472, 540, 891, 2200, 543, 811, 666, 581, 1336, 676, 9683, 281, 5291, 2517, 4178, 269, 8234, 10993, 269, 517, 28022, 19841, 270, 764, 558, 11721, 1663, 10774, 272, 333, 272, 9706, 3016, 4882, 1041, 338, 269, 5684, 343, 454, 295, 272, 301, 272, 24606, 689, 519, 10615, 540, 4065, 454, 32091, 16065, 267, 14268, 267, 15050, 2103, 543, 4841, 2676, 4415, 519, 2132, 547, 1153, 540, 938, 1053, 267, 519, 17368, 14665, 7826, 10588, 3427, 8274, 786, 3136, 547, 960, 5702, 609, 519, 28769, 24189, 710, 543, 7033, 7416, 5446, 5398, 2657, 19590, 547, 6895, 543, 4383, 519, 3463, 540, 519, 670, 272, 301, 272, 3644, 269, 898, 568, 938, 7029, 547, 1683, 513, 2922, 1153, 1604, 585, 782, 540, 938, 1053, 269, 5015, 267, 649, 616, 8149, 547, 4180, 602, 4977, 1344, 568, 28078, 547, 782, 540, 938, 8639, 543, 602, 3617, 13390, 1081, 776, 3800, 616, 3144, 547, 2149, 938, 1053, 543, 5234, 563, 2026, 513, 1153, 1062, 267, 649, 616, 912, 2171, 786, 849, 1039, 513, 1297, 540, 6402, 547, 938, 3896, 585, 1344, 827, 519, 670, 272, 301, 272, 3644, 543, 786, 3136, 547, 2689, 938, 2853, 543, 10873, 609, 519, 1079, 2657, 19590, 563, 8923, 3643, 938, 3896, 693, 8940, 8542, 322, 1091, 321, 269, 517, 28022, 585, 713, 1344, 543, 891, 10311, 28629, 2293, 25442, 569, 2676, 17445, 528, 540, 4065 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 289, 2572, 1125, 11065, 6195, 5240, 2228, 269, 4438, 2622, 2782, 5565, 267, 7366, 540, 5215, 540, 23038, 941, 12628, 593, 6628, 267, 865, 621, 568, 5310, 711, 9670, 649, 616, 1869, 4466, 873, 811, 982, 476, 3583, 1296, 2663, 269, 2110, 1686, 540, 530, 2297, 519, 1101, 1158, 2112, 543, 922, 21987, 1789, 713, 2110, 1686, 814, 1044, 16432, 689, 513, 1353, 540, 513, 1297, 540, 6277, 322, 3742, 28168, 17486, 1125, 3909, 2090, 2347, 910, 12206, 723, 513, 1114, 1620, 540, 519, 1158, 267, 621, 3568, 1686, 267, 1876, 267, 536, 25900, 634, 4627, 1296, 2112, 269, 18917, 269, 901, 2985, 568, 1655, 9763, 538, 606, 909, 3562, 15082, 1357, 11422, 609, 2511, 9212, 630, 16430, 264, 13087, 11065, 6195, 645, 2572, 1125, 3163, 568, 519, 9836, 1353, 540, 519, 2168, 543, 2067, 1158, 998, 8343, 543, 17634, 269, 2296, 476, 275, 628, 3126, 18917, 2782, 2986, 634, 11416, 269, 476, 275, 269, 12659, 629, 531, 1177, 344, 269, 18917, 23722, 645, 2572, 1125, 281, 1548, 18917, 13488, 966, 17448, 7137, 8490, 589, 9931, 661, 21158, 674, 334, 2342, 2991, 2622, 2782, 4083, 269, 2991, 13431, 273, 5101, 30051, 29335, 269, 13328, 2782, 4083, 269, 634, 12019, 2782, 281, 17959, 1677, 623, 3244, 559, 3511, 1215, 12984, 5125, 667, 2622, 2782, 4083, 5695, 940, 8672, 645, 25114, 8018, 1607, 1360, 2241, 4976, 6799, 11947, 7547, 689, 18917, 645, 2572, 1125, 13085, 2200, 585, 3119, 267, 6281, 543, 2937, 1565, 269, 5253, 269, 1775, 310, 16093, 269, 645, 2572, 1125, 269, 13488, 269, 8535, 11065, 6195, 3778, 281, 2622, 12668, 563, 307, 2464, 18520, 3778, 269, 2578, 32418, 5240, 269, 803, 13877, 753, 543, 1158, 2112, 13797, 476, 5325, 512, 575, 2117, 286, 320, 13187, 602, 713, 5859, 532, 4564, 519, 4332, 540, 519, 30067, 4618, 26410, 7790, 335, 11823, 5108, 286, 607, 519, 1101, 2034, 14749, 30067, 4618, 22988, 3357, 547, 2085, 538, 519, 2038, 476, 4350, 271, 338, 880, 332, 600, 513, 327, 4364, 568, 327, 332, 600, 1007, 4308, 13314, 1018, 941, 519, 1514, 2360, 540, 519, 1390, 589, 3102, 2622, 2782, 476, 273, 1686, 3391, 609, 5013, 543, 1344, 593, 835, 540, 519, 1034, 1271, 2621, 538, 3703, 1686, 269, 11137, 269, 681, 573, 2917, 8845, 4112, 1622, 634, 16338, 9737, 18332, 1773, 28026, 24910, 6611, 903, 13437, 769, 2353, 634, 14559, 769, 634, 2622, 476, 275, 3108, 3516, 269, 16665, 27294, 269, 9612, 585, 834, 289, 6195, 645, 2572, 1125, 281, 11512, 619, 257, 593, 8835, 563, 1260, 269, 23794, 274, 645, 2572, 1125, 269, 5455, 585, 513, 4161, 286, 289, 6195, 25103, 269, 645, 1872, 321, 8986, 269, 9523, 707, 2984, 267, 4555, 543, 4606, 256, 18439, 519, 1686, 540, 519, 1158, 998, 3615, 269, 4787, 760, 547, 1543, 269, 29456, 6435, 269, 18917, 1775, 291, 269, 3502, 5874, 269, 328, 310, 16093, 269, 645, 2572, 1125, 269, 13488, 269, 8535, 269, 24918, 538, 7822, 3487, 476, 273, 281, 8752, 940, 2782, 269, 676, 11657, 776, 6200, 269, 12005, 28088, 1280, 645, 25900, 717, 22330, 645, 2572, 1125, 634, 12019, 2782, 15030, 541, 267, 543, 519, 23162, 7323, 850, 19822, 288, 6281, 1153, 14469, 4199, 585, 23722, 3778, 827, 2413, 1158, 1686, 267, 3486, 1894, 543, 3123, 540, 519, 12019, 2782, 13328, 2782, 2290, 543, 5565, 15486, 540, 2622, 2782, 2290, 267, 15521, 540, 12411, 320, 14792, 3860, 1603, 536, 25900, 17486, 1125, 28168, 7254, 21473, 322, 8646, 1533, 3860, 1603, 12200, 3860, 1603, 16287, 7355, 31872, 273, 1655, 2228, 3860, 1603, 605, 26810, 16447, 2112, 1079, 6780, 948, 4608, 342, 3860, 1603, 544, 17304, 5098, 20536, 538, 795, 320, 760, 584, 948, 593, 476, 277, 628, 3446, 2979, 6780, 6780, 948, 619, 2542, 645, 25900, 3778, 2622, 2782, 5565, 12005, 20155, 289, 25900, 910, 31872, 274, 17486, 1125, 1686, 910, 519, 2034, 1158, 2112, 289, 25900, 910, 1153, 5925, 910, 1158, 2112, 476, 273, 8301, 24056, 910, 17355, 826, 525, 538, 11374, 2622, 2782, 594, 267, 3013, 1185, 4941, 547, 2482, 1055, 540, 9097, 2242, 602, 1624, 3293, 1354, 267, 543, 2661, 513, 3339, 1272, 14371, 17698, 645, 2572, 1125, 281, 634, 21744, 10020, 540, 1977, 6468, 538, 519, 476, 4572, 271, 338, 269, 18917, 267, 18917, 267, 8940, 269, 6277, 322, 16691, 16896, 4882, 1041, 338, 17320, 22330, 321, 2572, 1125, 270, 20931, 8276, 3369, 270, 25901, 270, 4572, 271, 338, 516, 341, 273, 11075, 15621, 269, 13159, 2622, 2782, 5565, 538, 2342, 15415, 609, 6337, 267, 1257, 267, 543, 936, 476, 1911, 6402, 269, 8702, 547, 782, 23722, 3778, 1053, 256, 590, 3036, 23802, 267, 4986, 1934, 585, 22244, 21612, 3201, 681, 9128, 3036, 5960, 630, 339, 787, 891, 18917, 645, 2572, 1125, 4967, 264, 610, 17886, 4953, 2793, 300, 630, 16591, 4967, 1934, 1040, 28161, 513, 1650, 339, 11839, 269, 2622, 2782, 4083, 269, 676, 918, 9461, 1054, 5153, 7315, 773, 20193, 729, 1767, 602, 5125, 1058, 1491, 16620, 585, 519, 12176, 540, 2622, 2782, 594, 267, 1185, 547, 2628, 585, 519, 3441, 1500, 267, 4389, 7952, 543, 2244, 729, 3144, 2476, 689, 873, 269, 8940, 269, 20931, 3598, 11789, 924, 16691, 16896, 269, 1284, 666, 8044, 602, 4300, 848, 618, 3361, 2622, 2782, 4083, 1317, 621, 4847, 13609, 543, 519, 21647, 547, 1628, 4436, 903, 4108, 1379, 2394, 621, 729, 2178, 2614, 547, 4339, 513, 2101, 2112, 269, 645, 2572, 1125, 11065, 761, 880, 8456, 547, 519, 8168, 5742, 1354, 2622, 2782, 476, 273, 269, 9521, 5333, 267, 6628, 4718, 519, 8168, 5742, 607, 513, 3152, 3463, 547, 4708, 982, 5125, 269, 6276, 3268, 547, 1603, 606, 16878, 1557, 21338, 5220, 3211, 269, 25020, 269, 1603, 1557, 645, 25900, 7005, 17486, 1125, 269, 5988, 476, 2764, 267, 476, 1001, 279, 476, 279, 281, 6321, 10681, 269, 22967, 593, 476, 273, 1158, 2112, 9413, 1434, 10530, 585, 2852, 3594, 2495, 1660, 1731, 330, 761, 1731, 581, 7371, 1408, 1557, 12210, 2720, 534, 3315, 572, 581, 7371, 1408, 1557, 3046, 871, 1073, 4821, 31849, 540, 1004, 12394, 547, 1265, 9623, 827, 14181, 564, 523, 1633, 2622, 2782, 594, 328, 10934, 543, 6157, 835, 540, 873, 568, 596, 267, 568, 711, 621, 286, 19247, 6168, 645, 25900, 14451, 645, 2572, 1125, 3778, 22540, 31280, 269, 645, 25900, 3778, 2622, 2782, 5565, 12005, 20155, 289, 25900, 910, 3119, 1686, 910, 1158, 2112, 476, 273, 910, 1453, 693, 2112, 289, 25900, 910, 2362, 17486, 1125, 1686, 910, 544, 684, 747, 14469, 645, 25900, 645, 2572, 1125, 918, 338, 273, 3778, 12005, 20155, 289, 25900, 910, 31872, 274, 17486, 1125, 1686, 910, 519, 2034, 1158, 2112, 289, 25900, 17486, 1125, 910, 1018, 729, 1272, 899, 538, 519, 19005, 7952, 630, 3682, 21793, 609, 22197, 6402, 616, 6378, 676, 18175, 15665, 707, 8731, 1370, 7817, 14386, 18917, 15571, 14635, 634, 5822, 2622, 2782, 269, 3245, 3026, 6807, 25679, 331, 1622, 8978, 17083, 540, 2112, 538, 5125, 538, 476, 4350, 280, 547, 519, 4992, 540, 556, 14765, 6005, 24921, 593, 966, 297, 4303, 538, 4864, 476, 3707, 276, 590, 3036, 23802, 267, 4986, 1934, 585, 22244, 21612, 3201, 681, 9128, 3036, 5960, 630, 339, 787, 891, 18917, 645, 2572, 1125, 4967, 3738, 610, 17886, 4953, 2793, 300, 630, 16591, 4967, 1934, 1040, 19322, 664, 543, 2622, 2782, 4083, 269, 645, 2572, 1125, 269, 13488, 563, 289, 5802, 4751, 269, 6423, 782, 13739, 338, 540, 26235, 543, 8050, 538, 2622, 2782, 476, 273, 630, 272, 1040, 19881, 4670, 8747, 540, 634, 2782, 540, 519, 2622, 338, 941, 711, 3833, 607, 16614, 540, 519, 2707, 1570, 269, 3080, 540, 519, 5496, 32392, 6700, 602, 519, 476, 1220, 276, 4670, 729, 513, 1427, 2454, 540, 519, 2112, 538, 12925, 267, 513, 521, 1633, 518, 1100, 8969, 2390, 1977, 8165, 2367, 543, 2021, 269, 5272, 2622, 2782, 4083, 7260, 568, 8909, 538, 930, 1259, 267, 855, 1906, 630, 604, 1022, 264, 616, 607, 25340, 14042, 607, 15608, 654, 23412, 2311, 821, 618, 267, 799, 9676, 1169, 6564, 641, 540, 10969, 566, 602, 27950, 5062, 292, 9774, 5206, 883, 1010, 3209, 540, 519, 1482, 2012, 267, 543, 6039, 873, 909, 609, 513, 1007, 4110, 540, 530, 3402, 532, 8515, 269, 2974, 320, 268, 910, 1032, 322, 1245, 8705, 524, 3737, 10674, 3506, 922, 1764, 593, 2451, 543, 693, 536, 25900, 28168, 17486, 1125, 2257, 267, 536, 321, 12050, 476, 276, 267, 536, 25900, 28168, 17486, 1125, 13004, 267, 536, 321, 12050, 476, 280, 3583, 271, 267, 1728, 3430, 15678, 20446, 267, 1728, 3430, 15678, 666, 828, 571, 267, 6301, 2601, 585, 28168, 524, 2112, 5736, 609, 631, 3369, 19014, 693, 586, 531, 3279, 543, 546, 524, 3737, 322, 1245, 2112, 22964, 826, 5614, 6881, 13973, 15486, 540, 2622, 2782, 5565, 910, 3778, 4804, 13505, 13303, 5125, 16555, 543, 31150, 1344, 827, 1158, 2112, 13797, 630, 4350, 280, 268, 3707, 276, 264, 689, 519, 1007, 26294, 2053, 2529, 3036, 23802, 267, 4986, 1934, 585, 22244, 21612, 3201, 681, 9128, 3036, 5960, 630, 339, 787, 891, 18917, 645, 2572, 1125, 4967, 264, 610, 17886, 4953, 2793, 300, 630, 16591, 4967, 1934, 264, 634, 2817, 24918, 2622, 2782, 4083, 27484, 5149, 7335, 269, 645, 1329, 15467, 1147, 682, 3135, 715, 269, 17502, 527, 595, 2378, 5918, 5800, 13248, 512, 719, 324, 3747, 324, 546, 269, 5901, 909, 547, 4266, 609, 519, 2069, 8257, 676, 1739, 938, 1514, 2923, 9055, 11065, 6195, 645, 2572, 1125, 5851, 269, 22206, 571, 1326, 5052, 547, 1489, 3119, 1153, 1888, 960, 269, 18917, 3778, 540, 2622, 2782, 4083, 630, 2735, 280, 736, 4962, 264, 568, 513, 476, 1789, 16923, 267, 476, 1321, 1673, 4593, 4015, 540, 476, 1015, 18917, 8613, 8874, 827, 2622, 2782, 4083, 269, 634, 8874, 1331, 32026, 267, 2703, 644, 1090, 553, 267, 543, 834, 323, 1090, 520, 1242, 32026, 257, 630, 5793, 24408, 1154, 540, 3140, 22089, 609, 10565, 9903, 725, 1040, 2622, 2782, 2290, 543, 5565, 630, 289, 6195, 645, 2572, 1125, 264, 15486, 540, 2622, 2782, 2290, 267, 15521, 540, 12411, 320, 14792, 267, 13477, 540, 8315, 267, 10003, 547, 2622, 2782, 5565, 269, 11242, 267, 7044, 4255, 269, 645, 25900, 910, 28168, 17486, 1125, 910, 1158, 2112, 2073, 589, 6281, 1153, 14469, 4199, 585, 28168, 1686, 827, 2413, 1158, 1686, 267, 3486, 1894, 267, 519, 3123, 540, 1158, 2112, 835, 267, 519, 14097, 540, 17930, 14792, 267, 519, 269, 645, 2572, 1125, 269, 13488, 269, 8535, 2529, 2465, 782, 13739, 338, 540, 2622, 2782, 8422, 281, 18738, 519, 2782, 18740, 630, 274, 1040, 645, 2572, 1125, 20136, 10872, 568, 711, 4867, 2139, 593, 18917, 1775, 32156, 269, 2782, 540, 519, 2622, 338, 269, 12729, 3778, 910, 2622, 2782, 476, 273, 630, 289, 6195, 1040, 19974, 543, 5345, 659, 6672, 630, 289, 6195, 1040, 1215, 2622, 2782, 4083, 932, 6548, 18421, 4534, 4634, 3776, 570, 4292, 585, 15443, 344, 630, 327, 4428, 15838, 14006, 2593, 1040, 10910, 514, 14657, 2622, 2782, 476, 273, 2073, 3371, 693, 8940, 269, 19112, 2117, 1228, 2593, 596, 786, 1265, 6732, 12005, 20211, 1228, 256, 602, 616, 2731, 5863, 269, 13328, 2782, 594, 328, 630, 19669, 264, 15776, 18917, 14451, 645, 2572, 1125, 2876, 31133, 828, 267, 645, 636, 3258, 1676, 267, 1656, 14022, 674, 1779, 4133, 2782, 645, 25900, 645, 2572, 1125, 269, 20509, 532, 26264, 9623, 20166, 671, 2051, 342, 2106, 13743, 528, 547, 581, 4378, 10696, 476, 3451, 1296, 1310, 2669, 538, 519, 674, 1779, 4133, 2782, 910, 18917, 5240, 476, 7865, 325, 268, 272, 269, 6277, 857, 16691, 16896, 269, 18917, 910, 23722, 645, 2572, 1125, 910, 2622, 2782, 2290, 543, 5565, 6993, 6281, 1153, 14469, 4199, 585, 23722, 3778, 827, 2413, 1158, 1686, 267, 3486, 1894, 267, 519, 3123, 540, 2622, 2782, 2290, 267, 519, 15521, 540, 12411, 320, 14792, 267, 519, 13477, 540, 8315, 543, 519, 4155, 547, 2622, 2782, 5565, 7689, 12697, 543, 10049, 827, 2622, 2782, 4083, 585, 2539, 2987, 23059, 543, 13591, 1377, 1053, 267, 1032, 476, 278, 268, 280, 538, 13785, 11065, 6195, 3427, 15571, 2622, 2782, 476, 273, 23866, 1849, 2354, 16672, 540, 2112, 281, 6751, 3026, 6807, 25679, 331, 664, 3045, 25555, 6628, 568, 693, 2112, 630, 334, 281, 4366, 264, 10674, 645, 2572, 1125, 269, 5851, 269, 23794, 274, 269, 3778, 11065, 6195, 3778, 281, 2622, 12668, 269, 570, 2464, 18520, 3778, 269, 2578, 32418, 5240, 269, 6258, 827, 543, 23590, 2622, 2782, 5565, 543, 875, 621, 4957, 1686, 899, 1100, 824, 2680, 538, 519, 2413, 5736, 609, 18917, 645, 2572, 1125 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 799, 1297, 14687, 547, 519, 1318, 1439, 4812, 540, 1899, 10126, 1496, 271, 267, 272, 264, 2496, 296, 3180, 1079, 2596, 6644, 602, 692, 263, 272, 264, 5272, 1899, 10126, 814, 1079, 1439, 9557, 780, 263, 273, 264, 634, 1439, 4812, 540, 513, 1899, 10126, 568, 851, 540, 621, 780, 3383, 607, 585, 519, 1899, 10126, 7222, 547, 1496, 271, 267, 272, 3910, 952, 649, 4894, 922, 1318, 1439, 4812, 267, 799, 1297, 14687, 547, 519, 1318, 1439, 4812, 540, 519, 1007, 1899, 10126, 286, 594, 1810, 1405, 1589, 519, 1297, 568, 1869, 476, 272, 267, 1317, 649, 723, 2907, 6569, 519, 1448, 7222, 547, 476, 272, 267, 3976, 2813, 713, 1007, 1899, 10126, 267, 519, 1448, 476, 272, 568, 711, 851, 540, 519, 1007, 1899, 10126, 267, 865, 2687, 547, 1250, 6644, 630, 273, 1070, 594, 1810, 1405, 1589, 519, 1297, 568, 476, 272, 780, 10000, 11845, 281, 589, 22112, 6024, 10126, 538, 513, 1899, 568, 1250, 4214, 540, 834, 1467, 10126, 5016, 10000, 11845, 281, 594, 1589, 594, 12193, 1250, 2243, 2073, 1294, 2626, 2630, 692, 1892, 1548, 568, 707, 4214, 540, 834, 1467, 10126, 22172, 594, 1131, 2161, 602, 1269, 314, 271, 267, 272, 7751, 3884, 1405, 513, 1899, 10126, 693, 782, 269, 5463, 476, 2764, 267, 476, 1708, 271, 693, 476, 271, 281, 6860, 454, 1892, 4270, 1287, 1018, 798, 596, 1611, 676, 834, 572, 8540, 22172, 5463, 476, 2764, 267, 476, 1708, 271, 693, 476, 271, 281, 6021, 454, 1892, 634, 1318, 1439, 1448, 568, 1869, 1269, 272, 259, 543, 621, 568, 513, 3368, 268, 13449, 1899, 10126, 269, 589, 1899, 10126, 949, 711, 2270, 922, 1439, 2798, 4534, 621, 1152, 2115, 547, 2270, 782, 2798, 1063, 873, 269, 3367, 1934, 5463, 476, 2764, 267, 476, 1708, 271, 693, 476, 271, 281, 1015, 454, 1892, 634, 8884, 1269, 314, 271, 267, 272, 316, 259, 814, 606, 1102, 3065, 1269, 271, 259, 799, 4523, 547, 849, 581, 513, 5934, 543, 849, 513, 25160, 636, 1269, 272, 259, 799, 849, 4523, 547, 581, 513, 5021, 269, 634, 3368, 268, 13449, 8884, 1269, 314, 271, 267, 272, 7751, 814, 606, 1102, 3065, 1269, 271, 259, 799, 4523, 547, 849, 581, 513, 5934, 543, 849, 513, 25160, 636, 1269, 272, 259, 799, 568, 711, 513, 5021, 2094, 621, 568, 711, 3769, 538, 519, 3368, 268, 13449, 8884, 269, 634, 3368, 268, 13449, 8884, 1269, 314, 271, 267, 272, 7751, 1281, 711, 723, 513, 5021, 269, 834, 263, 273, 264, 634, 1439, 15304, 540, 513, 1899, 10126, 568, 851, 540, 621, 257, 1717, 596, 1118, 707, 8847, 596, 616, 1210, 11826, 267, 713, 3948, 786, 2693, 581, 7301, 269, 5463, 476, 2764, 267, 476, 1708, 271, 693, 476, 271, 281, 1428, 454, 1892, 3767, 2807, 596, 1522, 581, 15673, 539, 547, 2161, 602, 1310, 9427, 1269, 272, 8961, 972, 568, 1869, 2469, 547, 581, 930, 834, 331, 17999, 257, 1297, 538, 519, 8884, 1862, 602, 621, 1131, 581, 1945, 899, 1269, 271, 269, 15886, 315, 25854, 8961, 2705, 11291, 602, 1269, 271, 269, 15886, 315, 25854, 259, 568, 1541, 1227, 3160, 547, 1269, 272, 10608, 2060, 602, 538, 2247, 267, 1022, 6069, 5021, 1269, 332, 259, 799, 568, 14553, 1447, 982, 1269, 272, 259, 649, 666, 1397, 1223, 711, 581, 519, 5021, 2094, 3168, 693, 519, 3328, 267, 4399, 2765, 31551, 266, 272, 2410, 273, 20954, 713, 786, 581, 14553, 3152, 982, 1269, 332, 259, 543, 14553, 1447, 982, 1269, 272, 259, 543, 8754, 513, 1297, 3677, 982, 1269, 332, 259, 538, 519, 8884, 17591, 532, 602, 1269, 332, 259, 1223, 723, 1044, 519, 5021, 538, 519, 1101, 1747, 907, 5463, 476, 2764, 267, 476, 1708, 271, 693, 476, 271, 281, 2420, 692, 7312, 8369, 630, 272, 264, 543, 630, 273, 264, 616, 22522, 609, 707, 630, 574, 680, 1221, 264, 6644, 630, 274, 1070, 602, 3230, 314, 271, 267, 272, 14638, 568, 513, 1899, 10126, 269, 1403, 596, 5963, 3494, 782, 1614, 540, 891, 6898, 267, 1287, 621, 5205, 267, 607, 3781, 5205, 1554, 267, 602, 596, 3494, 602, 3230, 273, 266, 273, 284, 278, 18079, 602, 519, 9855, 568, 1500, 540, 3039, 10381, 267, 543, 602, 596, 616, 519, 15352, 269, 594, 1131, 4363, 602, 596, 5402, 2015, 707, 1614, 4978, 267, 543, 1294, 799, 835, 4433, 264, 596, 616, 2731, 8149, 547, 267, 543, 799, 835, 4433, 264, 596, 616, 8348, 547, 10205, 267, 538, 519, 4690, 540, 711, 1373, 538, 513, 1533, 540, 1582, 9762, 2784, 2109, 780, 7312, 2034, 834, 21353, 545, 6644, 257, 568, 3274, 2150, 4902, 269, 634, 1297, 568, 3230, 272, 29634, 2467, 14553, 6340, 568, 1100, 1439, 4812, 540, 513, 1899, 26000, 8540, 610, 18422, 693, 606, 1930, 10465, 269, 2334, 1767, 267, 519, 1483, 1297, 7222, 547, 606, 1439, 540, 513, 1899, 26000, 8540, 3989, 676, 543, 2165, 3215, 693, 513, 13113, 1871, 2715, 2041, 621, 1496, 514, 7672, 610, 16934, 14587, 568, 3274, 602, 1297, 267, 1775, 4318, 269, 476, 272, 780, 5575, 2073, 621, 568, 5363, 547, 1217, 803, 547, 2638, 2436, 1496, 271, 267, 272, 264, 814, 513, 1318, 1439, 4812, 1310, 9427, 16317, 13553, 2073, 1175, 607, 7711, 4537, 889, 5069, 297, 2129, 686, 5483, 602, 692, 288, 1899, 10126, 949, 711, 2270, 922, 1439, 2798, 4534, 621, 1152, 2115, 547, 2270, 782, 2798, 1063, 873, 269, 3367, 1934, 692, 810, 594, 29144, 519, 4214, 540, 513, 1899, 10126, 269, 0, 1012, 476, 14756, 509, 18777, 350, 28786, 19540, 503, 347, 421, 504, 493, 10951, 374, 26166, 22909, 494, 30853, 4970, 504, 28786, 19540, 503, 560, 27181, 2079, 28786, 19540, 503, 347, 21316, 306, 31134, 692, 1708, 274, 23946, 368, 272, 10951, 486, 274, 20721, 354, 692, 322, 712, 13433, 2000, 629, 12814, 476, 20992, 418, 480, 357, 7511, 419, 499, 503, 27730, 13200, 509, 418, 370, 363, 32517, 507, 421, 358, 378, 418, 488, 353, 420, 486, 359, 13127, 506, 357, 28786, 19540, 503, 421, 504, 493, 10951, 374, 26166, 22909, 494, 560, 27181, 2079, 331, 25913, 30837, 351, 26266, 366, 14756, 493, 21550, 495, 419, 360, 489, 29072, 420, 485, 359, 26266, 365, 7511, 9463, 352, 419, 351, 495, 267, 476, 32517, 507, 13644, 479, 30837, 510, 420, 364, 365, 267, 28859, 360, 502, 420, 368, 357, 4970, 498, 31308, 509, 10254, 505, 7511, 14756, 509, 18777, 350, 32417, 28786, 19540, 503, 10951, 491, 20693, 350, 12486, 16043, 495, 10524, 361, 7511, 4970, 497, 14395, 370, 21928, 28786, 19540, 503, 421, 504, 493, 10951, 374, 26166, 22909, 494, 560, 27181, 2079, 331, 28786, 19540, 503, 25913, 30837, 351, 14756, 493, 421, 359, 490, 22909, 479, 20992, 4970, 364, 21382, 490, 8147, 12571, 482, 26175, 491, 28786, 19540, 503, 421, 504, 493, 10951, 374, 26166, 22909, 494, 560, 27181, 2079, 331, 25203, 372, 10429, 367, 7511, 30853, 4970, 504, 18263, 509, 16533, 365, 17958, 21251, 419, 507, 478, 13644, 368, 12486, 692, 1892, 18926, 5606, 2397, 476, 14756, 509, 18777, 350, 26406, 357, 13161, 511, 454, 1892, 18926, 17270, 476, 14756, 509, 18777, 350, 18777, 350, 28997, 501, 454, 1892, 11628, 17438, 7869, 28859, 360, 502, 419, 511, 487, 418, 354, 500, 27064, 485, 18777, 374, 454, 1892, 11628, 19556, 10803, 28859, 360, 502, 419, 511, 487, 12255, 419, 494, 484, 14756, 509, 18777, 350, 27730, 454, 1892, 630, 14197, 1242, 264, 12430, 17738, 13127, 373, 379, 18263, 487, 419, 374, 379, 26233, 356, 418, 357, 350, 417, 508, 489, 454, 1892, 18926, 10724, 4804, 476, 14756, 509, 18777, 350, 10951, 374, 417, 503, 357, 27730, 18263, 510, 454, 1892, 7043, 15994, 4578, 5811, 22614, 374, 369, 12571, 495, 12255, 29004, 362, 26166, 22909, 494, 454, 1892, 25043, 540, 4578, 3163, 476, 12255, 29004, 362, 26175, 495, 27730, 417, 509, 374, 419, 350, 478, 454, 322, 712, 13433, 12814, 20992, 418, 480, 357, 418, 493, 494, 28032, 505, 23746, 23284, 32517, 507, 26166, 7511, 25060, 483, 13644, 378, 10951, 491, 20693, 350, 692, 1012, 476, 14756, 509, 18777, 350, 28786, 19540, 503, 347, 421, 504, 493, 10951, 374, 26166, 22909, 494, 30853, 4970, 504, 28786, 19540, 503, 560, 27181, 2079, 28786, 19540, 503, 347, 32417, 540, 6987, 516, 2742, 692, 1103, 1082, 2665, 649, 616, 5461, 538, 21501, 519, 5021, 610, 5934, 540, 513, 1305, 540, 4351, 4632, 269, 2913, 4399, 3847, 346, 311, 19553, 9368, 13925, 329, 284, 272, 11892, 333, 259, 581, 513, 5311, 540, 1775, 269, 328, 6155, 269, 4351, 4632, 267, 543, 1577, 454, 2330, 300, 5332, 7807, 10946, 1422, 3847, 346, 311, 318, 272, 267, 2473, 318, 273, 267, 1422, 24126, 267, 2473, 5332, 9368, 348, 1547, 16465, 2171, 1131, 899, 547, 1353, 519, 3892, 540, 1269, 300, 5332, 259, 607, 1269, 333, 1422, 21375, 1422, 13727, 10608, 634, 7194, 540, 519, 5934, 1269, 332, 5332, 7807, 2381, 1422, 3847, 346, 311, 318, 272, 267, 2473, 318, 273, 267, 1422, 24126, 267, 2473, 5332, 9368, 4151, 666, 581, 5833, 13974, 1759, 593, 519, 1249, 602, 454, 263, 273, 269, 1724, 264, 4399, 2381, 1422, 3847, 346, 311, 318, 272, 267, 2473, 318, 273, 267, 1422, 24126, 267, 2473, 5332, 9368, 13157, 10559, 10946, 1422, 3847, 24877, 311, 318, 272, 16427, 311, 318, 273, 267, 1422, 24126, 16427, 311, 5332, 9368, 4151, 563, 7078, 476, 273, 269, 1556, 269, 27539, 602, 1269, 311, 19553, 259, 568, 28354, 7856, 282, 1775, 4318, 1421, 952, 649, 20301, 676, 4399, 24838, 3287, 7751, 519, 5506, 5860, 1599, 540, 1269, 311, 19553, 8961, 1287, 454, 11377, 24838, 3287, 6661, 1422, 8218, 26231, 1162, 348, 324, 13064, 343, 9574, 1299, 1422, 3667, 2715, 952, 7684, 1535, 285, 271, 1422, 476, 271, 267, 1299, 1422, 3667, 2715, 952, 7684, 1535, 1422, 19008, 476, 271, 17910, 26231, 1162, 28021, 10190, 4399, 13992, 346, 303, 4153, 3847, 11583, 19553, 271, 259, 543, 454, 17961, 25410, 348, 1422, 13992, 346, 303, 4153, 3847, 29687, 5332, 1422, 19008, 1535, 9368, 264, 1299, 31386, 13992, 346, 303, 4153, 3847, 11583, 19553, 1422, 19008, 1535, 1422, 3667, 2715, 585, 782, 7684, 795, 284, 272, 267, 273, 267, 1422, 24126, 267, 562, 9368, 264, 1422, 1299, 31386, 2889, 323, 3709, 329, 284, 272, 11892, 333, 1422, 13992, 346, 303, 4153, 3847, 11583, 19553, 1422, 19008, 1535, 9368, 21174, 3847, 263, 272, 3887, 13064, 343, 4153, 2431, 8203, 333, 1422, 754, 25410, 8679, 1607, 3788, 3020, 1256, 952, 1269, 343, 259, 5673, 593, 1269, 333, 10608, 1284, 786, 3442, 1269, 343, 24210, 5332, 259, 971, 602, 4399, 3847, 263, 272, 3887, 13064, 343, 5332, 4153, 2431, 8203, 333, 259, 814, 513, 1875, 13700, 20190, 3970, 269, 1280, 713, 3483, 267, 649, 1577, 454, 2330, 343, 5332, 284, 10559, 8421, 1422, 3847, 16216, 13064, 343, 4153, 2431, 264, 10954, 8421, 562, 24210, 10954, 8421, 562, 1547, 16465, 10190, 454, 11377, 13992, 346, 303, 4153, 3847, 29687, 5332, 1422, 19008, 1535, 5332, 9368, 21174, 3847, 263, 272, 3887, 13064, 343, 5332, 4153, 2431, 8203, 333, 7807, 3847, 263, 272, 10559, 2765, 346, 324, 13064, 343, 12453, 333, 4153, 2431, 8203, 333, 1422, 21375, 552, 13064, 324, 13064, 343, 3686, 16465, 553, 1269, 333, 1422, 21375, 1422, 13727, 10608, 769, 824, 1913, 2676, 11377, 13992, 346, 303, 4153, 3847, 346, 300, 5332, 1422, 19008, 1535, 10954, 8421, 562, 9368, 348, 1422, 21375, 552, 13064, 324, 13064, 343, 3686, 1547, 16465, 1103, 1880, 267, 1269, 300, 5332, 259, 9428, 899, 4399, 8421, 562, 259, 607, 1269, 333, 1422, 21375, 1422, 13727, 16859, 1012, 476, 14756, 509, 18777, 350, 28786, 19540, 503, 347, 421, 504, 493, 10951, 374, 26166, 22909, 494, 30853, 4970, 504, 28786, 19540, 503, 560, 27181, 2079, 28786, 19540, 503, 347, 11514, 4740, 5384, 5685, 924, 4460, 990, 932, 1622, 692, 4131, 1269, 7268, 29604, 267, 1422, 24837, 346, 293, 9574, 1422, 13992, 346, 303, 348, 7751, 581, 519, 5506, 2230, 269, 589, 4460, 990, 5832, 568, 513, 5311, 540, 9936, 1242, 4351, 4632, 4399, 3847, 346, 311, 4671, 9368, 13925, 339, 1422, 514, 1422, 10400, 346, 307, 22288, 609, 519, 865, 10777, 4460, 990, 3959, 267, 547, 581, 5189, 2630, 267, 1141, 4399, 10400, 346, 307, 4151, 568, 519, 4994, 1305, 269, 1879, 4399, 10400, 346, 307, 18098, 13992, 346, 301, 20954, 649, 20301, 519, 4351, 4632, 607, 4399, 3847, 346, 311, 5332, 9368, 13925, 333, 1422, 514, 1422, 13992, 346, 301, 3686, 8961, 543, 713, 568, 519, 2013, 602, 649, 786, 2015, 538, 713, 3184, 269, 1284, 8263, 602, 1269, 311 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5067, 834, 298, 15546, 657, 257, 1310, 519, 13653, 540, 741, 15913, 1185, 6286, 585, 12138, 269, 6787, 610, 711, 17722, 5921, 547, 1711, 27421, 267, 646, 1185, 2944, 1175, 602, 269, 4329, 267, 17722, 1185, 13347, 1200, 4566, 547, 21821, 1200, 14552, 5351, 538, 713, 26035, 676, 5356, 12138, 540, 20703, 1601, 807, 519, 1688, 540, 7581, 641, 21358, 538, 7365, 563, 280, 269, 5637, 5900, 31647, 543, 623, 1301, 523, 542, 10353, 12138, 779, 19588, 693, 713, 942, 263, 278, 1040, 898, 1223, 581, 789, 10353, 519, 2856, 540, 513, 834, 12061, 5336, 3166, 20897, 257, 593, 519, 17599, 282, 811, 2693, 789, 22509, 1177, 513, 942, 950, 789, 1131, 3180, 519, 5354, 540, 1379, 267, 1185, 7581, 641, 21358, 7232, 543, 1200, 5067, 5030, 563, 1015, 269, 898, 568, 3810, 12691, 12138, 1131, 3479, 1273, 878, 728, 269, 769, 519, 10764, 540, 519, 1554, 267, 3661, 538, 519, 1659, 995, 10751, 602, 4553, 519, 1273, 878, 728, 729, 1360, 1483, 269, 634, 834, 30747, 569, 2201, 525, 2580, 849, 1572, 834, 763, 590, 8651, 2580, 1131, 711, 31799, 1273, 878, 728, 269, 634, 13909, 1223, 711, 723, 4847, 513, 2009, 1273, 878, 728, 547, 1831, 3751, 269, 1703, 1131, 711, 723, 1044, 2614, 1489, 547, 7753, 519, 25197, 566, 267, 2094, 1896, 1249, 687, 10353, 1010, 19588, 585, 3875, 4128, 563, 1556, 269, 5900, 31647, 729, 2663, 26722, 540, 931, 25378, 538, 519, 26923, 8276, 584, 1457, 282, 623, 1301, 523, 542, 729, 849, 14353, 855, 834, 659, 10181, 1540, 257, 5128, 676, 7432, 5900, 31647, 936, 547, 581, 13401, 267, 3976, 834, 2889, 1324, 257, 1010, 14017, 269, 898, 1223, 581, 11130, 602, 5900, 31647, 1185, 4487, 16490, 519, 3003, 26035, 267, 15691, 547, 1294, 519, 1439, 540, 17722, 543, 1287, 519, 1439, 540, 12138, 267, 3976, 8380, 5128, 538, 513, 3532, 2990, 607, 3204, 550, 547, 519, 10867, 10127, 534, 657, 267, 855, 602, 568, 1776, 2219, 1862, 7474, 12138, 1705, 711, 4283, 519, 16222, 609, 1010, 4651, 949, 723, 555, 342, 14975, 4566, 585, 513, 5595, 610, 17784, 26923, 15301, 279, 994, 1321, 269, 4173, 1580, 525, 267, 12138, 543, 27336, 4725, 30906, 267, 14930, 540, 17224, 22455, 267, 941, 849, 10353, 547, 519, 589, 6261, 6261, 19710, 267, 2094, 621, 2322, 873, 2417, 2476, 689, 519, 17599, 563, 2414, 1265, 519, 6010, 601, 5006, 5168, 267, 649, 3323, 609, 623, 9476, 534, 5362, 269, 6787, 610, 711, 646, 1185, 513, 2123, 30254, 585, 11318, 519, 3751, 267, 649, 666, 1095, 2541, 646, 4941, 547, 6146, 519, 4622, 543, 7639, 267, 2094, 646, 1185, 834, 1326, 12537, 257, 9640, 543, 10443, 689, 519, 6429, 269, 1677, 798, 713, 267, 646, 1131, 723, 547, 1205, 856, 540, 24765, 517, 282, 1310, 782, 646, 729, 1134, 8153, 267, 646, 1223, 711, 723, 18423, 543, 5030, 269, 634, 8136, 1131, 723, 18796, 1010, 2669, 607, 1175, 10751, 585, 11318, 741, 11221, 6205, 269, 630, 2304, 957, 1996, 519, 3751, 729, 606, 957, 1996, 519, 24765, 20897, 4658, 585, 519, 3751, 729, 519, 2123, 20032, 540, 519, 4658, 779, 786, 8094, 19185, 693, 519, 1249, 687, 1657, 267, 1896, 7653, 941, 2009, 912, 5331, 596, 616, 623, 9476, 534, 5362, 910, 596, 13842, 519, 3751, 543, 1616, 547, 6146, 1864, 267, 855, 596, 1810, 1406, 1616, 547, 5884, 269, 10493, 5362, 17066, 596, 543, 14767, 596, 3106, 538, 661, 7032, 4592, 269, 661, 7032, 4592, 3884, 1406, 1932, 2484, 2476, 267, 596, 1223, 4440, 1118, 621, 547, 661, 7032, 4592, 267, 855, 1131, 596, 581, 2922, 972, 286, 1403, 12138, 15068, 547, 1831, 3751, 267, 646, 1131, 581, 3808, 676, 2123, 22632, 543, 676, 1010, 522, 987, 607, 3751, 547, 1285, 3188, 17722, 779, 12638, 269, 1403, 646, 941, 711, 3751, 855, 3274, 15068, 267, 646, 1131, 1869, 581, 3808, 676, 2123, 22632, 547, 1285, 3188, 1010, 4651, 779, 2669, 267, 543, 646, 1131, 4440, 581, 5275, 25113, 538, 661, 7032, 4592, 5128, 269, 14348, 10493, 5362, 2149, 596, 1996, 12138, 267, 1200, 5067, 286, 16393, 1352, 2149, 596, 1996, 12138, 952, 12138, 2731, 4941, 547, 6146, 596, 286, 3502, 513, 1434, 914, 267, 865, 1256, 952, 10493, 5362, 15673, 539, 596, 267, 596, 8910, 4440, 711, 3398, 563, 3719, 1631, 267, 1139, 3151, 602, 12138, 8633, 1185, 14059, 596, 547, 6146, 1010, 4651, 269, 18833, 24765, 20897, 1876, 543, 22632, 543, 12138, 267, 543, 519, 1249, 602, 952, 12138, 1577, 596, 2661, 1310, 11318, 1010, 4651, 267, 12138, 5128, 1131, 581, 31081, 10696, 267, 1131, 596, 2161, 834, 8133, 22172, 3502, 2693, 256, 4746, 267, 1256, 1498, 596, 616, 14220, 609, 17722, 267, 596, 1522, 2601, 602, 267, 547, 11177, 707, 22632, 543, 2744, 12797, 538, 17722, 779, 4064, 267, 596, 666, 1631, 979, 547, 17722, 543, 2995, 1864, 602, 12138, 814, 6836, 547, 536, 11171, 596, 547, 6146, 1864, 269, 17722, 786, 1294, 596, 538, 513, 1007, 1769, 267, 707, 22632, 786, 581, 17468, 282, 17722, 786, 581, 1360, 18507, 547, 596, 585, 20392, 519, 30217, 748, 2470, 540, 1010, 5067, 269, 1656, 952, 17722, 568, 6236, 678, 27570, 5128, 540, 12138, 8633, 543, 10493, 5362, 267, 596, 723, 19942, 1864, 519, 3501, 1907, 563, 2252, 8069, 689, 30111, 4862, 15555, 712, 540, 707, 771, 20880, 267, 789, 1522, 581, 15673, 539, 547, 1935, 596, 269, 2659, 1101, 2243, 1131, 581, 834, 5804, 7247, 543, 875, 1705, 596, 5873, 713, 15555, 712, 8119, 268, 513, 1360, 1271, 2243, 256, 634, 8069, 689, 30111, 20726, 602, 952, 596, 6146, 3751, 17722, 267, 519, 14655, 3751, 1131, 581, 1360, 21464, 538, 1010, 7071, 540, 707, 10121, 957, 547, 2576, 945, 267, 1310, 782, 267, 1223, 581, 2808, 707, 3020, 3751, 630, 7290, 528, 1227, 1040, 1411, 1131, 917, 519, 14655, 3751, 814, 13284, 1127, 543, 1379, 3564, 3661, 269, 30111, 568, 513, 1279, 1259, 689, 24765, 517, 269, 31849, 540, 16380, 616, 972, 607, 24271, 523, 2456, 543, 616, 3257, 1360, 1134, 585, 2933, 269, 12138, 1131, 10691, 581, 2111, 547, 3914, 596, 972, 269, 4634, 952, 646, 2968, 3751, 267, 646, 7948, 1406, 7654, 14710, 519, 1522, 540, 519, 2898, 14655, 7276, 269, 6733, 338, 899, 513, 1434, 914, 267, 713, 835, 269, 1411, 8910, 4440, 3398, 519, 14655, 4154, 543, 1589, 3054, 593, 519, 1259, 547, 513, 26752, 2104, 268, 952, 268, 543, 621, 779, 513, 2462, 17692, 267, 596, 666, 3605, 519, 2626, 547, 707, 1101, 2243, 256, 3245, 602, 2243, 782, 1866, 786, 1246, 2483, 2005, 568, 12691, 602, 18603, 729, 3238, 267, 693, 2547, 2047, 269, 898, 568, 16143, 267, 2705, 267, 602, 930, 15555, 712, 540, 513, 2009, 4729, 1185, 20335, 1472, 269, 634, 23723, 1014, 11347, 1500, 2386, 547, 14773, 602, 4896, 945, 2800, 539, 17722, 1131, 711, 581, 1500, 10950, 538, 18603, 630, 10472, 4805, 1131, 723, 1500, 803, 1376, 547, 1413, 1472, 256, 5148, 7132, 267, 623, 9476, 534, 5362, 1131, 917, 646, 1131, 711, 581, 2111, 547, 12404, 9170, 855, 519, 14655, 10504, 269, 18603, 729, 711, 513, 834, 338, 12522, 2777, 257, 585, 24765, 20897, 911, 6002, 563, 3086, 267, 1139, 3151, 930, 8284, 24765, 517, 2103, 1935, 596, 269, 1358, 616, 25091, 267, 789, 1174, 1018, 814, 5949, 543, 707, 771, 320, 977, 542, 269, 1358, 616, 267, 32047, 267, 1360, 3810, 5116, 269, 1358, 723, 1185, 930, 942, 547, 1831, 31235, 609, 596, 267, 547, 1865, 1141, 17722, 568, 18188, 267, 1018, 519, 2104, 5526, 547, 581, 7432, 883, 281, 609, 519, 589, 6261, 6261, 19710, 16119, 538, 1747, 267, 621, 568, 2312, 602, 519, 1379, 543, 3310, 540, 930, 1249, 687, 616, 593, 519, 530, 2033, 267, 519, 3463, 540, 2112, 1223, 1291, 547, 1312, 17722, 543, 12138, 12955, 267, 543, 945, 267, 1287, 267, 3587, 519, 1379, 693, 519, 17599, 888, 3086, 267, 540, 1576, 267, 1480, 3527, 616, 538, 1410, 2364, 762, 543, 1419, 979, 11207, 14669, 547, 4376, 649, 1522, 15475, 610, 6427, 269, 1656, 6236, 519, 2188, 267, 621, 568, 3592, 811, 10257, 547, 2307, 945, 4769, 1406, 2901, 1616, 17722, 4666, 267, 610, 917, 827, 513, 4729, 547, 6146, 1864, 256, 1809, 3168, 693, 519, 1439, 2164, 2337, 538, 7421, 519, 7399, 563, 5804, 513, 13099, 344, 6350, 23650, 267, 649, 723, 930, 1702, 540, 519, 6364, 540, 519, 4693, 540, 1346, 1459, 693, 17722, 779, 12638, 269, 15526, 1459, 729, 2808, 513, 2009, 14353, 676, 519, 24765, 20897, 13909, 543, 2877, 547, 581, 23498, 676, 873, 267, 1519, 12138, 8633, 269, 901, 729, 741, 2357, 18743, 630, 553, 1454, 607, 649, 723, 540, 621, 2567, 1346, 538, 519, 16222, 543, 519, 3751, 779, 7390, 1218, 941, 711, 16944, 630, 28387, 789, 1336, 12138, 834, 2254, 16944, 20257, 634, 2820, 10719, 729, 16961, 1881, 585, 2542, 519, 9631, 839, 607, 7957, 24461, 585, 17722, 543, 7551, 711, 9963, 1864, 602, 1945, 1360, 3983, 729, 827, 547, 4755, 269, 5565, 14930, 540, 17224, 641, 657, 630, 15463, 1580, 525, 543, 27336, 4725, 30906, 264, 910, 4277, 569, 267, 741, 7015, 267, 12138, 267, 729, 1101, 547, 605, 8010, 12138, 8633, 607, 3751, 910, 941, 1336, 16944, 540, 931, 25378, 609, 623, 9476, 534, 5362, 543, 941, 13401, 269, 623, 9476, 534, 5362, 779, 1560, 729, 16961, 1881, 269, 4173, 1580, 525, 543, 27336, 4725, 30906, 941, 7166, 9384, 4716, 569, 267, 2059, 609, 519, 834, 1326, 12537, 257, 9640, 945, 941, 849, 16363, 16944, 585, 741, 851, 538, 519, 12638, 540, 519, 3751, 269, 5900, 31647, 267, 945, 729, 538, 5607, 19724, 609, 623, 1301, 523, 542, 267, 729, 1336, 16944, 540, 24242, 543, 28715, 267, 855, 729, 23689, 1354, 646, 1223, 581, 13401, 563, 8867, 517, 333, 9850, 543, 3131, 323, 27364, 553, 267, 1498, 1336, 834, 2254, 16944, 2580, 941, 1629, 6838, 689, 519, 10610, 31384, 543, 941, 711, 556, 2987, 26061, 2394, 1454, 2663, 15301, 280, 264, 623, 1301, 523, 542, 729, 2016, 513, 2990, 2673, 547, 12138, 607, 606, 25129, 543, 2489, 267, 855, 713, 729, 4440, 1759, 593, 606, 740, 720, 2147, 547, 834, 16605, 707, 2828, 2673, 267, 707, 14763, 6251, 8487, 5804, 519, 18631, 1344, 267, 649, 2709, 513, 2009, 9183, 281, 623, 1301, 523, 542, 543, 5900, 31647, 267, 538, 5607, 19724, 267, 941, 14059, 676, 14655, 8069, 269, 26681, 540, 891, 2367, 3226, 6462, 930, 540, 17722, 779, 4914, 4507, 267, 543, 9444, 729, 1634, 547, 1489, 12138, 269, 1358, 949, 723, 1287, 1071, 3200, 569, 29211, 14655, 8069, 538, 32296, 519, 14930, 540, 17224, 22455, 267, 945, 941, 16219, 789, 1131, 581, 6462, 267, 609, 14655, 4154, 267, 607, 3204, 757, 547, 10127, 534, 657, 267, 17722, 779, 5067, 676, 7581, 641, 21358, 7232, 269, 634, 14930, 540, 17224, 22455, 1131, 723, 1044, 6854, 23387, 602, 5900, 31647, 543, 623, 1301, 523, 542, 941, 3238, 538, 519, 4890, 19420, 3801, 267, 855, 941, 4440, 5143, 602, 267, 547, 2057, 513, 24765, 20897, 3540, 2112, 267, 519, 14655, 10504, 1131, 1287, 21907, 4708, 1063, 519, 1249, 687, 269, 634, 14930, 540, 17224, 22455, 1131, 3494, 602, 267, 609, 2933, 607, 3204, 757, 543, 519, 834, 6588, 526, 18876, 257, 540, 5900, 31647, 630, 663, 3976, 267, 623, 1301, 523, 542, 264, 593, 519, 17599, 267, 606, 19710, 1223, 581, 3710, 1063, 519, 1034, 3532, 1249, 687, 269, 2037, 4289, 532, 519, 9316, 540, 623, 9476, 534, 5362, 267, 896, 519, 1368, 1047, 540, 11505, 267, 4173, 1580, 525, 543, 27336, 4725, 30906, 630, 663, 7654, 12138, 267, 945, 3533, 23564, 547, 519, 10888, 2427, 543, 949, 1256, 723, 1449, 1881, 1996, 1010, 1378, 14552, 547, 4688, 1010, 1272, 264, 28367, 519, 2669, 540, 17722, 269, 5900, 31647, 543, 623, 1301, 523, 542, 267, 538, 5607, 19724, 267, 4440, 5156, 2933, 3544, 27421, 269, 1358, 949, 723, 849, 5433, 602, 267, 538, 519, 2680, 540, 5821, 267, 519, 14930, 540, 17224, 22455, 1131, 581, 1336, 16944, 543, 581, 13401, 267, 6028, 1100, 13009, 1394, 547, 873, 543, 6028, 519, 17599, 1930, 585, 519, 2921, 269, 898, 568, 849, 2693, 602, 267, 1185, 519, 4729, 16309, 607, 5551, 267, 4173, 1580, 525, 543, 27336, 4725, 30906, 1131, 711, 723, 10150, 519, 3204, 1890, 585, 1279, 267, 855, 1131, 723, 10375, 569, 5747, 267, 6028, 5900, 31647, 543, 623, 1301, 523, 542, 267, 538, 1198, 267, 547, 4341, 269, 1879, 5900, 31647, 729, 28715, 267, 623, 1301, 523, 542, 3533, 23564, 5011 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4019, 5574, 547, 2898, 13602, 543, 1118, 930, 540, 519, 7403, 593, 1367, 4054, 563, 273, 269, 274, 2480, 2100, 540, 519, 5530, 454, 763, 9165, 540, 519, 1353, 2882, 519, 2551, 689, 799, 519, 4559, 540, 8343, 1058, 581, 5697, 269, 634, 1523, 540, 513, 834, 516, 5570, 754, 566, 6389, 257, 910, 519, 2551, 585, 799, 519, 8753, 540, 519, 1353, 616, 547, 581, 4143, 910, 568, 2629, 563, 5194, 1271, 2460, 568, 519, 2450, 540, 519, 7634, 269, 898, 568, 1898, 267, 1354, 25054, 593, 606, 7634, 267, 547, 723, 606, 7447, 540, 519, 8856, 540, 519, 4267, 602, 786, 581, 5833, 689, 519, 7634, 269, 2311, 519, 14724, 1377, 519, 8856, 1223, 581, 6027, 676, 519, 3044, 5470, 540, 513, 3017, 1063, 1611, 2418, 267, 610, 1063, 1079, 17114, 269, 1717, 267, 621, 1223, 849, 1331, 8856, 540, 9193, 540, 2203, 6724, 630, 6233, 540, 2208, 267, 13829, 593, 942, 610, 593, 3114, 5834, 264, 610, 2551, 6724, 630, 2889, 15251, 540, 27442, 1076, 2244, 1031, 3927, 267, 6871, 2333, 538, 19718, 540, 1007, 4066, 676, 6705, 1916, 4462, 1652, 519, 7634, 568, 4397, 547, 581, 5827, 540, 3246, 4267, 547, 606, 11807, 4110, 540, 8856, 621, 1058, 711, 581, 3323, 563, 273, 269, 275, 12020, 606, 15331, 454, 7659, 4162, 540, 606, 4603, 616, 519, 3903, 540, 8097, 5574, 547, 14183, 519, 1353, 6859, 543, 540, 519, 4559, 547, 799, 519, 5574, 616, 547, 581, 4294, 269, 1703, 1058, 581, 930, 1852, 540, 2959, 540, 8390, 1063, 519, 4559, 910, 713, 568, 2356, 6913, 676, 17527, 269, 589, 4351, 5314, 10325, 568, 1031, 547, 21138, 519, 5574, 547, 519, 8097, 4559, 269, 1280, 519, 5574, 267, 519, 2055, 1331, 454, 268, 1018, 2126, 2497, 267, 952, 1022, 267, 568, 547, 581, 1031, 888, 268, 666, 513, 27353, 2126, 2497, 581, 1031, 547, 2626, 2055, 7561, 267, 543, 952, 865, 267, 875, 888, 268, 875, 1058, 2157, 540, 513, 11050, 3815, 581, 6074, 888, 6944, 1503, 5574, 1683, 1666, 3894, 281, 519, 6476, 540, 824, 5574, 609, 513, 15977, 568, 1419, 606, 6662, 269, 1717, 267, 8060, 616, 3274, 5574, 267, 543, 741, 4527, 543, 20487, 1590, 581, 20582, 1175, 899, 1022, 824, 2126, 269, 2201, 9013, 8390, 267, 519, 2055, 1331, 454, 268, 1548, 1106, 540, 17527, 1058, 581, 1031, 630, 4565, 4169, 540, 811, 982, 5216, 4559, 616, 1419, 1932, 2462, 547, 581, 3608, 25145, 268, 1548, 3606, 1344, 827, 519, 8097, 4559, 630, 30831, 264, 1058, 581, 6592, 888, 1103, 2489, 513, 1434, 8097, 1374, 5849, 602, 519, 1198, 540, 5574, 666, 581, 9674, 689, 519, 834, 333, 7572, 766, 257, 2360, 540, 5054, 609, 5021, 4398, 269, 769, 8888, 606, 4603, 267, 27353, 2126, 2497, 1058, 581, 9833, 607, 519, 2343, 269, 4746, 267, 6272, 1210, 7161, 609, 7864, 4559, 982, 972, 616, 5574, 1058, 581, 538, 1455, 946, 563, 1103, 1978, 2010, 540, 4693, 972, 616, 1880, 3344, 540, 1374, 799, 616, 1271, 269, 1280, 1383, 912, 268, 30495, 610, 26216, 3099, 8062, 910, 2015, 1210, 13672, 17393, 793, 338, 563, 268, 10960, 27892, 8062, 910, 891, 616, 2693, 547, 4125, 2789, 2157, 540, 8390, 281, 2516, 267, 2043, 267, 942, 5036, 540, 7422, 1369, 2831, 563, 268, 12524, 6901, 910, 2027, 3007, 1058, 581, 2016, 547, 27353, 3889, 585, 5574, 563, 268, 2201, 1922, 1301, 8062, 910, 2327, 11347, 543, 14477, 5697, 4609, 267, 2614, 5574, 267, 2614, 2949, 18643, 282, 855, 972, 568, 1100, 10421, 585, 1142, 3135, 547, 723, 519, 1482, 1374, 2497, 563, 273, 269, 276, 12020, 513, 11752, 454, 763, 1292, 2609, 540, 519, 1374, 540, 513, 5619, 616, 513, 1134, 27059, 3732, 543, 513, 18102, 630, 528, 824, 1239, 4015, 5650, 264, 799, 25389, 519, 1353, 6859, 269, 14265, 1017, 4170, 540, 519, 3732, 1374, 616, 2099, 520, 4369, 543, 930, 3693, 540, 4351, 1145, 538, 519, 5542, 5650, 269, 1452, 2356, 17538, 513, 991, 585, 930, 1785, 1005, 540, 519, 5619, 267, 1419, 5473, 32756, 267, 547, 2327, 6041, 540, 519, 2101, 15523, 540, 519, 2551, 269, 5548, 756, 4733, 630, 17882, 1738, 264, 5542, 540, 5439, 666, 2285, 267, 538, 2489, 267, 519, 6574, 1761, 6111, 540, 2949, 4267, 855, 814, 519, 19319, 540, 4758, 1100, 1344, 593, 8856, 563, 5278, 4351, 3693, 540, 5542, 568, 2877, 952, 649, 616, 547, 917, 875, 5730, 616, 519, 4267, 269, 769, 1034, 4052, 3871, 24159, 610, 1617, 626, 720, 10386, 786, 581, 519, 1034, 1942, 15807, 1505, 540, 10386, 269, 589, 3666, 540, 9836, 543, 4351, 2609, 538, 10386, 4640, 568, 2356, 2556, 269, 769, 1617, 626, 720, 10386, 519, 4102, 610, 3119, 4559, 1419, 723, 547, 581, 5697, 1625, 1842, 1947, 267, 855, 519, 10700, 10386, 4559, 616, 1287, 5697, 693, 4351, 1369, 3119, 4559, 563, 2690, 15977, 2090, 519, 4214, 540, 24534, 10386, 2127, 267, 32756, 10325, 543, 519, 4390, 585, 10128, 1239, 689, 9867, 2959, 616, 1271, 563, 1103, 2825, 10386, 267, 1141, 519, 8901, 3601, 540, 8390, 616, 606, 1271, 7156, 267, 519, 8901, 3892, 540, 5439, 1058, 1683, 1344, 827, 8390, 693, 1360, 1507, 9883, 267, 693, 1804, 9883, 543, 693, 835, 610, 1079, 13591, 9883, 563, 273, 269, 277, 4033, 9537, 540, 5530, 454, 1103, 22423, 2090, 267, 12681, 2090, 543, 811, 12170, 813, 26150, 1949, 519, 2489, 2035, 540, 6901, 543, 12220, 616, 4143, 4352, 519, 1880, 2143, 2409, 949, 711, 581, 10858, 269, 4935, 267, 2099, 520, 4369, 543, 930, 3693, 540, 4351, 5542, 616, 14909, 269, 898, 568, 849, 1271, 547, 723, 930, 1852, 267, 610, 693, 2547, 6284, 540, 1761, 2959, 540, 2101, 8390, 563, 5278, 2090, 849, 2154, 1569, 547, 22991, 6394, 1239, 267, 971, 607, 20296, 5638, 610, 19666, 11147, 269, 898, 568, 1271, 547, 13182, 602, 891, 1239, 616, 3617, 585, 519, 1382, 4305, 563, 274, 269, 634, 4578, 454, 274, 269, 272, 9537, 540, 20970, 454, 9288, 5501, 906, 666, 581, 1500, 538, 1082, 1114, 3029, 8151, 689, 6024, 7403, 540, 2168, 4162, 630, 7076, 267, 3259, 267, 5186, 5529, 2127, 264, 998, 12523, 630, 514, 4167, 338, 267, 17005, 4054, 1070, 8464, 540, 2068, 8515, 610, 2298, 540, 7031, 267, 547, 9811, 270, 7224, 10526, 630, 1372, 611, 267, 10351, 3990, 264, 610, 8456, 630, 3697, 267, 4782, 1040, 634, 2956, 540, 1519, 513, 1880, 6482, 814, 547, 581, 12290, 538, 519, 2796, 540, 519, 6859, 540, 519, 1382, 563, 2467, 616, 930, 2489, 2798, 799, 4019, 547, 782, 13753, 563, 268, 1280, 513, 2016, 1374, 267, 4879, 538, 519, 1106, 540, 6024, 6482, 786, 2285, 3152, 8856, 982, 10288, 8464, 267, 799, 786, 538, 2490, 2285, 3152, 8856, 982, 9811, 270, 7224, 6114, 630, 324, 3052, 269, 12035, 616, 811, 5730, 982, 1970, 270, 4364, 1756, 10774, 662, 2597, 5049, 1916, 268, 634, 1106, 4433, 264, 540, 6482, 5697, 1590, 581, 5827, 540, 4758, 4267, 540, 11807, 6111, 547, 519, 2055, 4280, 563, 268, 634, 3448, 8856, 540, 1114, 267, 4244, 6272, 585, 606, 7634, 568, 711, 4957, 676, 519, 1880, 1106, 540, 6482, 563, 274, 269, 273, 11814, 532, 519, 4578, 454, 10574, 4015, 3029, 786, 2356, 723, 547, 581, 5423, 585, 10916, 519, 7422, 269, 769, 1514, 12220, 267, 519, 1374, 543, 2361, 4152, 540, 519, 18102, 616, 2565, 3334, 540, 519, 1353, 1544, 269, 769, 6901, 543, 22423, 2090, 267, 2241, 1239, 4015, 3029, 1419, 3411, 823, 563, 274, 269, 274, 4578, 28678, 543, 5004, 454, 8512, 540, 519, 7156, 540, 7403, 568, 519, 2243, 540, 875, 519, 1239, 616, 547, 581, 7307, 269, 2311, 930, 3942, 267, 519, 1239, 786, 7363, 581, 4371, 538, 835, 610, 811, 2780, 1239, 6119, 269, 898, 568, 1271, 602, 519, 1106, 540, 519, 1239, 6119, 543, 519, 3301, 547, 581, 1031, 585, 1239, 7127, 267, 2359, 543, 2079, 616, 5462, 1354, 1239, 4015, 5956, 563, 10574, 616, 3006, 6394, 2047, 883, 513, 15409, 2780, 269, 7316, 1239, 4015, 9212, 616, 1031, 267, 519, 1239, 7127, 1058, 581, 2944, 2047, 689, 891, 9212, 269, 10515, 3539, 883, 2126, 1931, 610, 834, 8518, 9819, 257, 540, 4729, 2418, 610, 2418, 538, 4846, 270, 3873, 1058, 711, 581, 15868, 267, 1991, 547, 519, 1239, 7127, 269, 2353, 1239, 1058, 581, 9411, 281, 952, 7403, 616, 1271, 2614, 547, 581, 1500, 267, 789, 616, 1271, 2614, 547, 581, 2780, 2213, 269, 5525, 1141, 834, 3286, 519, 1034, 1271, 4632, 616, 9411, 1101, 257, 23366, 1267, 538, 513, 811, 2352, 1239, 7127, 1184, 543, 519, 6967, 4632, 616, 1287, 10355, 2780, 2213, 563, 10574, 7127, 1058, 7363, 946, 513, 1062, 602, 814, 6703, 585, 15418, 269, 17677, 7127, 1058, 581, 2808, 267, 1317, 621, 568, 1419, 1447, 942, 10438, 543, 1447, 5470, 17376, 821, 982, 824, 1949, 585, 1239, 10992, 563, 2005, 568, 14909, 547, 1246, 519, 2596, 3741, 540, 1434, 6538, 2359, 269, 769, 930, 2090, 519, 2359, 568, 513, 24735, 3942, 267, 5473, 2241, 14759, 540, 519, 1239, 883, 519, 4559, 585, 2079, 269, 898, 666, 267, 2705, 267, 1459, 1483, 2591, 267, 3226, 538, 1617, 626, 720, 12220, 610, 538, 3662, 267, 29436, 1150, 2722, 610, 6404, 5186, 6137, 6901, 269, 589, 2489, 4341, 568, 547, 3490, 519, 2359, 593, 513, 3126, 540, 5752, 12981, 267, 2864, 982, 1210, 2759, 7146, 1790, 4292, 2409, 269, 634, 8545, 1419, 1267, 538, 2789, 12215, 540, 519, 1239, 538, 1114, 5933, 540, 519, 1184, 267, 799, 1118, 621, 1360, 2352, 547, 2953, 1022, 6959, 602, 616, 2663, 4362, 950, 519, 1239, 616, 21845, 563, 1103, 713, 3296, 267, 811, 982, 3105, 3283, 267, 596, 949, 7237, 14542, 8579, 2474, 269, 1452, 1058, 3746, 1047, 602, 972, 616, 3344, 540, 1007, 8579, 12191, 689, 799, 596, 666, 4324, 267, 609, 3617, 5796, 563, 275, 269, 272, 19461, 2079, 281, 21741, 1637, 543, 11822, 28977, 454, 2690, 6901, 267, 3355, 9382, 2356, 1331, 2241, 9184, 1637, 540, 519, 1239, 538, 2126, 1931, 267, 609, 5758, 7194, 267, 971, 607, 1611, 2418, 269, 1280, 12220, 267, 2241, 7515, 616, 3812, 267, 1419, 6029, 519, 2164, 547, 1142, 2243, 538, 2490, 269, 1452, 3355, 2164, 616, 1152, 14356, 585, 2079, 267, 789, 616, 849, 513, 27402, 540, 519, 1239, 10992, 1184, 563, 2005, 568, 1271, 547, 10646, 1063, 834, 30161, 528, 2218, 12449, 2580, 799, 616, 17298, 693, 713, 3942, 267, 543, 834, 335, 19948, 12449, 2580, 5018, 538, 519, 1985, 3296, 269, 4112, 528, 2218, 12449, 267, 971, 607, 14649, 30831, 610, 4216, 30831, 267, 616, 547, 948, 519, 25566, 538, 1620, 519, 1239, 267, 1247, 6881, 12449, 616, 547, 948, 547, 1459, 519, 1271, 2164, 547, 1866, 563, 4415, 930, 12220, 267, 1034, 540, 519, 2079, 949, 2874, 540, 519, 7041, 540, 3617, 3818, 3118, 7515, 267, 4758, 12523, 610, 21159, 267, 610, 1312, 269, 6970, 1081, 1590, 581, 27361, 950, 9306, 21159, 267, 1818, 2312, 1312, 519, 2949, 1297, 540, 5619, 17013, 543, 519, 1297, 945, 15527, 547, 519, 1808, 2243, 267, 607, 1134, 607, 10834, 799, 568, 1031, 607, 519, 14009, 563, 275, 269, 273, 1323, 26087, 532, 17796, 540, 7352, 566, 454, 8512, 21871, 585, 8097, 1239, 267, 606, 1271, 5057, 540, 519, 2079, 540, 7403, 568, 1419, 606, 2079, 540, 13065, 630, 3198, 23701, 1070, 519, 3483, 540, 799, 568, 547, 4990, 856, 519, 3448, 2956, 540, 1114, 3123, 540, 8390, 269, 1280, 2241, 1374, 3889, 267, 519, 30654, 3274, 21410, 519, 18304, 540, 10945, 585, 7161, 267, 5574, 267, 3092, 269, 543, 1287, 2488, 7515, 540, 1797, 543, 3044, 6959, 267, 519, 4806, 540, 7664, 1373, 1129, 14006, 539, 676, 519, 3448, 7306, 540, 1611, 10945, 538, 519, 30654, 269, 1280, 811, 1950, 1374, 3889, 630, 514, 14814, 3625, 6272, 267, 2789, 1377, 1344, 264, 519, 1523, 540, 30654, 3788, 519, 1482, 267, 3246, 3448, 8390, 30289, 547, 1114, 2959, 543, 2126, 1797, 14661, 585, 3604, 1063, 7161, 269, 769, 2090, 609, 1447, 6101, 2497, 621, 949, 581, 3617, 547, 8237, 909, 519, 8390, 1063, 519, 1585, 3123, 676, 9695, 610, 267, 950, 972, 616, 2789, 2157, 540, 8390, 267, 676, 1210, 513, 3532, 1007, 1505, 267, 1634, 607, 31087, 299, 563, 763, 1880, 1106, 540, 6482, 786, 711, 4043, 547, 7369, 713, 2596, 2497, 540, 519, 2079, 540, 8390, 267, 4352, 1141, 1875, 9762, 514, 6681, 3029, 540, 6482, 616, 1031, 519, 946, 540, 2489, 2213, 5276, 3631, 630, 320, 1920, 540, 3631, 799, 2882, 2845, 15035, 3631 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 454, 30357, 6062, 344, 541, 631, 267, 11023, 341, 31381, 700, 267, 9105, 926, 717, 267, 3171, 714, 328, 589, 267, 4498, 21105, 631, 267, 631, 1662, 327, 14508, 22085, 267, 13850, 5362, 341, 663, 681, 630, 1001, 274, 264, 634, 1198, 540, 6171, 595, 543, 552, 21455, 593, 4887, 3441, 543, 19842, 2566, 538, 4775, 9845, 281, 513, 4791, 4693, 269, 2271, 808, 16473, 2405, 476, 275, 263, 11045, 331, 476, 272, 2567, 306, 1626, 454, 307, 9476, 330, 11253, 23404, 630, 1220, 278, 264, 14600, 334, 304, 1700, 320, 26503, 2389, 1173, 9643, 15934, 269, 9517, 2607, 338, 476, 1015, 263, 277, 2567, 274, 4200, 1700, 31404, 454, 5938, 345, 2763, 595, 267, 4936, 10314, 966, 267, 2677, 321, 1846, 10790, 267, 674, 611, 7236, 13382, 267, 19186, 1512, 334, 631, 267, 674, 822, 16619, 717, 267, 595, 545, 559, 3999, 590, 267, 29813, 10730, 19294, 267, 5651, 321, 573, 18223, 966, 267, 31762, 638, 320, 595, 267, 10753, 1030, 2401, 590, 630, 1001, 278, 264, 6520, 23938, 2530, 540, 744, 5183, 272, 538, 4887, 5222, 4887, 2527, 267, 10894, 27921, 267, 11528, 6553, 267, 543, 25853, 6845, 525, 12412, 269, 8426, 5450, 21966, 476, 1839, 263, 277, 2567, 15389, 275, 1700, 15946, 280, 454, 308, 332, 753, 10798, 320, 589, 267, 16114, 1638, 328, 717, 267, 2473, 773, 654, 267, 1656, 619, 5459, 9823, 267, 1234, 1731, 523, 22804, 267, 29485, 8121, 630, 1001, 275, 264, 2637, 13443, 7393, 24197, 15934, 2534, 10607, 4887, 1599, 538, 10172, 269, 28540, 14844, 331, 6298, 2233, 476, 9340, 263, 5655, 2567, 13923, 2004, 1700, 13923, 4649, 454, 309, 553, 559, 13403, 589, 267, 32617, 14873, 589, 267, 11709, 3816, 5443, 670, 267, 11709, 14216, 2725, 592, 523, 808, 295, 267, 700, 1046, 514, 700, 267, 27672, 517, 17985, 267, 5062, 288, 6113, 548, 589, 267, 674, 4954, 30742, 29273, 267, 12722, 631, 297, 630, 1220, 277, 264, 5131, 9097, 5108, 676, 20258, 4887, 540, 2937, 543, 2025, 8983, 281, 1198, 540, 4579, 850, 2534, 269, 28544, 8426, 476, 276, 263, 273, 2567, 11820, 1700, 14056, 454, 309, 553, 559, 13403, 589, 267, 12722, 631, 297, 630, 1001, 274, 264, 10020, 540, 19535, 5135, 2249, 538, 519, 26843, 20344, 2938, 538, 10172, 4887, 269, 5131, 7101, 545, 22776, 2405, 476, 4792, 281, 28766, 1700, 26825, 454, 310, 531, 8725, 808, 291, 630, 1001, 273, 264, 590, 2117, 13449, 807, 538, 4587, 4079, 269, 4354, 337, 25709, 28039, 15436, 565, 476, 2190, 263, 277, 2567, 277, 2537, 454, 310, 601, 577, 21191, 267, 20388, 902, 589, 267, 22398, 4660, 16951, 661, 267, 16164, 1676, 808, 267, 6008, 1407, 595, 297, 630, 1001, 280, 264, 9061, 22891, 12205, 1063, 8192, 15934, 8324, 595, 267, 661, 543, 25558, 31734, 703, 1389, 543, 26878, 13449, 545, 17523, 538, 2021, 9907, 476, 1240, 1700, 8064, 1296, 269, 2836, 322, 604, 570, 22568, 2271, 476, 11793, 281, 272, 1700, 1321, 454, 313, 29697, 918, 267, 2098, 29697, 10648, 267, 18961, 667, 267, 1924, 784, 962, 267, 21960, 330, 20724, 267, 5576, 14525, 623, 310, 267, 590, 345, 16587, 670, 295, 630, 1220, 275, 264, 8426, 12656, 1889, 762, 26733, 14434, 6098, 547, 6418, 24197, 9245, 21391, 24197, 11926, 267, 19842, 1591, 2669, 267, 543, 17777, 325, 4288, 5945, 269, 808, 22776, 6314, 476, 29344, 263, 3451, 2567, 31798, 11025, 1700, 31798, 3445, 454, 313, 17924, 808, 267, 700, 26820, 2098, 267, 808, 807, 808, 267, 16441, 808, 299, 267, 2473, 26820, 1627, 630, 1001, 280, 264, 634, 2360, 540, 759, 591, 520, 1503, 8023, 543, 3635, 2866, 593, 519, 20258, 4887, 1599, 543, 13973, 727, 540, 9907, 14148, 269, 25398, 297, 476, 278, 15545, 324, 278, 866, 280, 454, 313, 16852, 962, 267, 20568, 2473, 267, 667, 532, 2473, 267, 15651, 674, 267, 717, 1263, 2473, 630, 1001, 280, 264, 20052, 558, 699, 543, 922, 1909, 538, 519, 10172, 11444, 281, 22007, 558, 699, 2110, 2287, 267, 1591, 6845, 525, 12412, 543, 26503, 14524, 269, 4437, 690, 518, 26585, 476, 736, 263, 272, 2567, 272, 1700, 1626, 454, 313, 340, 334, 700, 267, 2441, 1993, 328, 18919, 267, 19159, 966, 303, 267, 645, 7776, 590, 267, 1849, 656, 517, 570, 299, 630, 1220, 275, 264, 26100, 2135, 4723, 848, 17466, 2706, 6448, 5305, 538, 20258, 4887, 269, 808, 10331, 4284, 2723, 476, 9032, 263, 273, 2567, 5780, 272, 1700, 5780, 279, 454, 306, 1440, 5424, 7186, 3788, 9243, 609, 2543, 547, 11758, 12302, 6811, 538, 3370, 7851, 543, 12250, 28930, 725, 563, 10666, 713, 2376, 454, 29241, 713, 2376, 454, 1320, 5448, 267, 589, 1421, 13019, 614, 5336, 11672, 267, 570, 1421, 1234, 1228, 267, 681, 11482, 269, 1696, 620, 269, 28080, 7566, 19535, 5135, 2249, 630, 4629, 306, 264, 547, 8396, 519, 2085, 5829, 2530, 540, 4887, 2527, 543, 1599, 269, 4437, 690, 518, 26585, 476, 2641, 267, 476, 275, 4037, 1700, 4366, 275, 630, 1708, 271, 1040, 4179, 2517, 8742, 3820, 270, 1015, 269, 1911, 278, 4882, 10755, 2420, 268, 22903, 268, 6021, 279, 10695, 14870, 454, 268, 1234, 5562, 5135, 2249, 454, 268, 7621, 573, 894, 2566, 0, 276, 7160, 540, 10241, 540, 5029, 2210, 28351, 3281, 2432, 1336, 538, 519, 17048, 563, 24309, 538, 2296, 454, 21511, 8447, 8629, 2008, 31871, 540, 9664, 1475, 276, 2918, 2008, 763, 6475, 4341, 568, 1031, 5097, 585, 17782, 543, 7787, 1944, 1106, 27909, 585, 7123, 4496, 23838, 267, 2523, 1418, 2210, 28351, 7135, 269, 634, 4341, 568, 1759, 593, 519, 1249, 602, 519, 32447, 16115, 540, 5912, 8407, 2874, 540, 8370, 32447, 10739, 1023, 630, 821, 521, 20771, 267, 1614, 533, 10739, 1023, 543, 2947, 546, 10739, 1023, 1070, 799, 15217, 666, 13918, 6168, 713, 1433, 269, 15190, 14029, 8084, 16544, 540, 769, 16955, 543, 5029, 2210, 28351, 3281, 2432, 281, 9828, 267, 10049, 543, 10241, 2488, 513, 2189, 2707, 540, 1344, 538, 606, 1271, 1858, 540, 7998, 269, 4595, 11730, 476, 2412, 519, 2470, 543, 31672, 540, 713, 3126, 723, 1044, 12012, 547, 2992, 513, 1689, 540, 8561, 2509, 1412, 20007, 2294, 267, 10049, 543, 10241, 23823, 16667, 526, 532, 811, 543, 811, 3730, 3156, 538, 5907, 267, 6419, 267, 610, 9804, 3457, 610, 538, 8596, 269, 5398, 6161, 585, 519, 1604, 814, 3366, 547, 519, 4473, 540, 3039, 7998, 267, 609, 519, 1843, 540, 10893, 1312, 1648, 946, 543, 3114, 3653, 538, 2872, 634, 5029, 2210, 28351, 11061, 540, 519, 21846, 5450, 1023, 267, 19549, 9990, 267, 676, 7917, 670, 269, 595, 4599, 29728, 11711, 12025, 281, 476, 278, 11586, 269, 5029, 2210, 28351, 11061, 10241, 476, 275, 5029, 2210, 28351, 7998, 3091, 513, 1259, 856, 540, 713, 14196, 269, 3414, 2027, 1418, 2210, 28351, 6547, 267, 513, 3099, 540, 3327, 28003, 7554, 666, 581, 4646, 543, 1256, 1979, 776, 331, 1949, 666, 581, 11593, 24704, 269, 901, 7872, 814, 9450, 519, 4586, 16391, 2210, 28351, 7135, 616, 3335, 5941, 538, 2474, 540, 519, 4496, 607, 2901, 1292, 31228, 7135, 610, 5912, 4496, 7135, 269, 634, 1292, 31228, 8407, 540, 1418, 2210, 28351, 7135, 616, 3335, 2808, 547, 581, 1346, 540, 519, 590, 1532, 6674, 630, 25364, 476, 272, 543, 476, 273, 264, 543, 519, 18219, 2609, 540, 519, 533, 1532, 6674, 630, 25364, 476, 1724, 1700, 1428, 264, 538, 519, 13350, 3349, 540, 2609, 269, 634, 5912, 8407, 1331, 1346, 2609, 538, 1547, 630, 8245, 517, 623, 269, 674, 4459, 518, 267, 1773, 11294, 636, 5450, 1023, 17352, 267, 5292, 269, 476, 4649, 630, 275, 1070, 5239, 267, 16532, 3245, 519, 8039, 281, 10955, 1243, 676, 717, 12728, 20795, 337, 731, 26566, 537, 523, 543, 715, 2812, 5450, 345, 2401, 9539, 565, 974, 267, 713, 1433, 6257, 2487, 8441, 538, 519, 1374, 267, 10282, 267, 2964, 2065, 1620, 543, 2564, 3498, 540, 1418, 2210, 28351, 7135, 269, 12882, 15662, 510, 15788, 713, 568, 606, 13181, 1433, 543, 786, 581, 20888, 563, 763, 26284, 328, 9466, 869, 454, 12218, 545, 3703, 1079, 3613, 6593, 8062, 21891, 454, 288, 15023, 3391, 547, 4579, 8115, 563, 20694, 6387, 25845, 1723, 267, 21549, 563, 297, 612, 3821, 4498, 686, 1115, 1007, 30256, 454, 303, 6974, 1533, 540, 1702, 540, 519, 5580, 5790, 476, 1960, 271, 454, 301, 7968, 4696, 5989, 2110, 3856, 2962, 1544, 630, 4306, 4338, 994, 1960, 277, 932, 760, 19369, 543, 10866, 10374, 6092, 11872, 454, 6798, 2762, 540, 5261, 1744, 1389, 335, 699, 563, 2419, 3420, 6555, 6541, 267, 476, 1960, 272, 268, 10844, 630, 2419, 3420, 6555, 6541, 3933, 1748, 10022, 994, 27751, 540, 519, 12233, 12912, 593, 865, 1454, 540, 519, 5048, 540, 519, 5518, 540, 519, 2136, 2276, 607, 12211, 547, 938, 4914, 1894, 454, 14112, 5758, 3864, 5359, 593, 10685, 5823, 267, 5179, 6174, 7816, 543, 6455, 5823, 267, 1426, 543, 16098, 5823, 454, 306, 6295, 3872, 9744, 2042, 454, 21104, 725, 540, 5029, 2210, 28351, 3281, 2432, 594, 342, 7776, 744, 2742, 324, 744, 2742, 324, 3194, 8534, 14898, 267, 3567, 10241, 540, 5029, 2210, 28351, 3281, 2432, 568, 513, 3102, 543, 538, 3829, 5619, 540, 782, 2487, 7835, 538, 1418, 2210, 28351, 7998, 269, 3848, 676, 3184, 267, 519, 2278, 11828, 476, 736, 540, 519, 1034, 1455, 2609, 1031, 538, 1418, 2210, 28351, 676, 281, 634, 1433, 568, 5497, 547, 581, 606, 4367, 547, 1418, 2210, 28351, 7998, 585, 1382, 2447, 1235, 538, 5214, 267, 2067, 1587, 543, 14453, 10991, 7998, 563, 10666, 519, 8191, 594, 342, 7776, 744, 2742, 324, 568, 519, 2278, 540, 10241, 540, 5029, 2210, 28351, 3281, 2432, 267, 3370, 676, 25067, 269, 10241, 540, 5029, 2210, 28351, 3281, 2432, 594, 342, 7776, 744, 2742, 324, 744, 2742, 324, 3194, 8534, 14898, 267, 3567, 10241, 540, 5029, 2210, 28351, 3281, 2432, 568, 513, 3102, 543, 538, 3829, 5619, 540, 782, 2487, 7835, 538, 563, 763, 3126, 11762, 538, 5029, 2210, 28351, 11061, 6799, 2565, 7650, 338, 540, 1382, 2164, 538, 1418, 2210, 28351, 7998, 269, 1306, 938, 1620, 540, 1418, 2210, 28351, 2497, 267, 3601, 543, 6127, 4679, 267, 1007, 2081, 616, 8118, 585, 519, 1374, 540, 1418, 2210, 28351, 7135, 543, 6547, 3358, 547, 563, 1103, 519, 4557, 1296, 2094, 519, 3621, 24117, 585, 519, 1374, 267, 10282, 543, 3498, 540, 22803, 543, 1418, 2210, 28351, 22169, 630, 296, 8008, 338, 264, 729, 1101, 12497, 2213, 267, 649, 723, 14754, 519, 1101, 17895, 894, 3408, 540, 594, 8008, 338, 607, 840, 15479, 832, 547, 1007, 2326, 267, 609, 3646, 2519, 593, 519, 1374, 543, 563, 16391, 2210, 28351, 3281, 2432, 616, 6675, 9967, 540, 606, 5214, 7636, 609, 835, 610, 811, 17285, 2609, 11368, 883, 741, 2497, 269, 1306, 519, 3601, 540, 891, 7135, 1831, 7805, 267, 741, 3156, 3136, 547, 1332, 547, 1331, 556, 698, 757, 267, 27857, 267, 543, 519, 2504, 540, 24470, 267, 31534, 267, 989, 10635, 8707, 338, 267, 543, 18068, 5061, 563, 21104, 725, 540, 5029, 2210, 28351, 3281, 2432, 594, 342, 7776, 744, 2742, 324, 744, 2742, 324, 3194, 8534, 14898, 267, 3567, 10241, 540, 5029, 2210, 28351, 3281, 2432, 568, 513, 3102, 543, 538, 3829, 5619, 540, 782, 2487, 7835, 538, 1418, 2210, 28351, 7998, 563, 6637, 676, 3184, 267, 519, 2278, 11828, 476, 736, 540, 519, 1034, 1455, 2609, 1031, 538, 1418, 2210, 28351, 7998, 269, 634, 3498, 540, 1418, 2210, 28351, 7998, 538, 4630, 18100, 3032, 4519, 568, 24482, 2810, 609, 519, 3728, 10605, 540, 6602, 540, 1007, 27857, 538, 519, 1858, 563, 763, 2640, 540, 1418, 2210, 28351, 3032, 4519, 723, 1631, 829, 3712, 730, 547, 782, 18125, 540, 519, 3114, 1158, 602, 12732, 689, 519, 32604, 540, 519, 2872, 547, 519, 1554, 3562, 6377, 1507, 4336, 946, 538, 5214, 269, 2060, 2487, 12531, 8720, 519, 5767, 3905, 3584, 543, 3384, 2127, 971, 607, 1418, 2210, 28351, 7998, 267, 1292, 1895, 7998, 543, 14270, 1343, 267, 1071, 268, 867, 1588, 7998, 543, 3156, 538, 1570, 2257, 267, 713, 3126, 568, 849, 540, 946, 547, 5214, 543, 1418, 2210, 28351, 2447, 1235, 267, 1979, 32554, 1235, 543, 2326, 2433, 590, 826, 9315, 1400, 563, 289, 3930, 8208, 577, 1107, 7905, 14022, 18372, 808, 269, 25048, 2041, 10098, 281, 968, 306, 11853, 543, 10241, 540, 5029, 2210, 28351, 3281, 2432, 892, 9677, 12011, 645, 269, 1744, 592, 262, 11017, 267, 13198, 6403, 21542, 631, 269, 6742, 1231, 267, 9400, 17566, 476, 272, 4864, 808, 563, 7775, 326, 269, 6314, 269, 2353, 23549, 270, 2171, 2125, 924, 269, 10758, 10323, 24086, 595, 3951 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 310, 663, 1359, 1472, 519, 12476, 645, 867, 523, 13639, 7467, 779, 1292, 2679, 568, 606, 3635, 538, 942, 2951, 2443, 1169, 1900, 3217, 596, 6251, 547, 519, 6370, 26753, 1141, 23671, 10692, 543, 3006, 5747, 563, 3849, 4784, 569, 267, 602, 4992, 513, 2370, 27615, 13135, 267, 855, 693, 713, 942, 540, 1032, 267, 621, 779, 513, 16994, 12576, 540, 519, 24279, 5215, 540, 23671, 1500, 585, 5191, 563, 7883, 1524, 835, 513, 529, 548, 543, 596, 3580, 1265, 513, 2361, 10051, 602, 729, 1031, 18246, 676, 519, 8225, 30609, 819, 776, 10414, 1282, 519, 3689, 2622, 2782, 269, 589, 10051, 593, 14743, 267, 621, 729, 1898, 547, 8023, 519, 10136, 563, 23175, 1524, 1776, 543, 596, 3580, 2097, 3068, 547, 3068, 609, 519, 581, 1335, 1054, 5822, 2622, 2782, 268, 5028, 10548, 7382, 267, 513, 476, 3953, 268, 2023, 28458, 602, 5645, 513, 12284, 540, 2947, 543, 729, 28459, 1540, 609, 513, 3670, 1790, 895, 630, 1492, 2597, 540, 519, 23292, 7387, 602, 729, 17991, 689, 621, 264, 1292, 22902, 543, 835, 3684, 7784, 563, 288, 1906, 3268, 20991, 543, 596, 3580, 1294, 4010, 875, 16081, 6244, 1272, 538, 513, 7382, 1223, 581, 269, 1703, 779, 513, 570, 268, 4649, 5101, 4436, 6370, 7382, 602, 1185, 851, 540, 922, 7387, 6569, 865, 8225, 10136, 1223, 1451, 1018, 729, 3330, 543, 875, 1655, 547, 771, 762, 835, 563, 10527, 1292, 1445, 540, 519, 9754, 568, 519, 1686, 540, 12476, 645, 867, 523, 267, 519, 4559, 602, 6039, 1934, 267, 585, 519, 942, 789, 941, 693, 12476, 645, 867, 523, 2223, 1767, 12448, 27068, 267, 8689, 540, 519, 9754, 269, 968, 763, 1764, 593, 519, 8225, 4108, 568, 1454, 3152, 982, 1004, 8275, 3034, 6097, 519, 1433, 267, 8805, 645, 867, 523, 281, 589, 11416, 540, 6796, 267, 8805, 645, 867, 523, 814, 1044, 513, 851, 540, 519, 8225, 4108, 5251, 2094, 476, 4489, 277, 267, 950, 11184, 6341, 24806, 267, 14012, 540, 20237, 543, 17740, 807, 693, 519, 942, 267, 10272, 519, 1858, 1472, 4911, 639, 593, 2904, 476, 278, 267, 476, 4489, 277, 267, 543, 4956, 267, 593, 519, 5544, 267, 519, 1655, 3135, 585, 519, 3786, 1131, 581, 538, 519, 24104, 1222, 540, 3647, 320, 269, 9050, 2395, 2663, 267, 593, 2904, 476, 1556, 267, 476, 4489, 277, 267, 519, 6554, 540, 4516, 9516, 519, 1269, 14690, 267, 8146, 269, 3953, 621, 1131, 1942, 547, 3617, 519, 2244, 563, 17746, 2315, 3459, 538, 7118, 652, 267, 543, 593, 5147, 476, 1556, 267, 476, 4489, 277, 267, 8805, 645, 867, 523, 13166, 8118, 563, 3528, 519, 1439, 540, 519, 3689, 2622, 2782, 267, 827, 476, 4968, 267, 1822, 7980, 1185, 1044, 8036, 693, 645, 867, 523, 563, 5415, 982, 3368, 540, 519, 7980, 945, 6039, 538, 519, 3689, 543, 5822, 2622, 12668, 4607, 2866, 693, 8805, 645, 867, 523, 269, 634, 2012, 729, 4957, 547, 8225, 17086, 12476, 645, 867, 523, 547, 2992, 519, 796, 2305, 540, 519, 9576, 8225, 5794, 10414, 609, 519, 8225, 13108, 543, 8225, 8136, 593, 4924, 269, 476, 272, 267, 476, 3422, 279, 563, 763, 9754, 267, 8547, 538, 476, 3192, 271, 267, 568, 606, 31498, 14212, 540, 1082, 1770, 15882, 269, 898, 814, 1079, 6753, 593, 3490, 269, 634, 1292, 9754, 568, 4092, 693, 476, 2767, 10548, 853, 269, 543, 2934, 606, 11141, 4015, 540, 4108, 6472, 543, 4108, 20711, 956, 543, 14213, 9604, 269, 634, 670, 30865, 476, 1556, 5794, 1323, 10811, 267, 593, 670, 30865, 10003, 267, 7710, 519, 4332, 540, 2011, 2866, 538, 4516, 883, 519, 12019, 2782, 563, 763, 13793, 541, 568, 6806, 585, 22058, 725, 538, 7041, 585, 519, 476, 1911, 628, 16683, 540, 519, 9576, 8225, 5794, 10414, 593, 4989, 476, 272, 267, 476, 1708, 275, 563, 8310, 1032, 267, 811, 982, 476, 1015, 267, 1822, 1004, 10272, 519, 9754, 267, 1524, 689, 840, 1790, 663, 2438, 2157, 855, 6450, 15929, 3833, 1134, 267, 27068, 1767, 269, 1520, 3939, 568, 1863, 267, 855, 23190, 616, 10950, 563, 294, 2958, 800, 267, 945, 6585, 513, 12854, 538, 2413, 3703, 1686, 609, 513, 1445, 593, 4108, 1686, 267, 1767, 645, 867, 523, 779, 1686, 14753, 547, 519, 3677, 9295, 4516, 1500, 538, 519, 20237, 540, 4708, 543, 9111, 538, 519, 476, 736, 628, 543, 476, 2641, 560, 5553, 563, 14881, 1589, 23671, 616, 23387, 540, 4516, 779, 11999, 9295, 538, 519, 3689, 2622, 2782, 267, 5822, 2622, 2782, 267, 11114, 2782, 543, 519, 12019, 2782, 2223, 646, 1767, 269, 968, 3080, 538, 476, 1015, 7606, 538, 4516, 630, 13195, 264, 538, 7833, 538, 519, 3689, 543, 5822, 2622, 12668, 269, 901, 568, 2247, 536, 17344, 1782, 267, 543, 1034, 540, 713, 7589, 729, 17319, 3034, 3891, 1767, 519, 476, 8517, 267, 1822, 4108, 4806, 18114, 630, 320, 8868, 539, 6174, 3710, 547, 4108, 16551, 264, 4516, 3710, 538, 519, 5822, 2622, 2782, 729, 513, 2112, 20421, 9295, 269, 1261, 849, 11329, 856, 4516, 779, 16080, 1242, 7589, 5645, 593, 883, 519, 12019, 2782, 563, 10527, 2450, 540, 938, 11439, 4229, 4847, 721, 547, 2226, 1360, 1713, 4229, 538, 2342, 267, 1247, 693, 519, 1482, 942, 7700, 547, 4708, 15209, 13485, 2223, 646, 1767, 563, 17829, 13485, 3769, 519, 2136, 8315, 17073, 10414, 594, 538, 519, 590, 22222, 22575, 7997, 543, 519, 717, 18054, 853, 8692, 538, 476, 4198, 277, 267, 519, 22096, 19822, 538, 476, 3422, 271, 267, 543, 6167, 9128, 4083, 693, 519, 590, 22222, 22575, 543, 267, 2663, 267, 519, 31291, 328, 18686, 538, 476, 3192, 275, 563, 294, 2958, 800, 15109, 519, 9754, 779, 4015, 968, 821, 540, 519, 29659, 892, 538, 519, 2197, 563, 4407, 646, 568, 6158, 827, 519, 17271, 543, 8978, 1871, 540, 519, 4015, 267, 621, 779, 849, 4502, 513, 8101, 2040, 540, 2724, 547, 19216, 267, 952, 789, 1223, 1205, 741, 3946, 593, 621, 563, 2690, 1383, 267, 950, 596, 3802, 883, 519, 1292, 4159, 10689, 538, 519, 1292, 9754, 267, 835, 540, 519, 1101, 1919, 596, 1294, 616, 3504, 4498, 2917, 5937, 822, 1749, 517, 543, 570, 8922, 874, 5179, 31260, 2443, 519, 6283, 3903, 540, 519, 4108, 7128, 267, 610, 3038, 739, 17620, 607, 621, 729, 1634, 909, 547, 476, 3422, 279, 563, 16248, 540, 873, 616, 20898, 909, 2443, 25144, 267, 540, 1576, 2443, 543, 789, 2461, 15999, 267, 952, 596, 2461, 883, 602, 4990, 540, 3364, 563, 4002, 4159, 609, 519, 5179, 31260, 568, 513, 11308, 1835, 622, 602, 779, 2760, 1044, 8118, 269, 18738, 621, 568, 513, 476, 4198, 278, 476, 4335, 268, 764, 570, 8922, 874, 13138, 310, 27576, 2443, 2150, 31189, 543, 9985, 12873, 563, 2005, 779, 513, 27576, 21689, 779, 5326, 563, 3080, 1175, 899, 621, 267, 538, 922, 3312, 1835, 622, 267, 4421, 693, 513, 4993, 25488, 538, 476, 1001, 271, 585, 2475, 259, 4097, 267, 4335, 269, 20271, 894, 9193, 2303, 621, 1131, 30321, 2475, 259, 2004, 267, 1822, 2221, 2443, 827, 595, 259, 3583, 267, 1822, 563, 29467, 616, 1082, 8711, 538, 519, 9754, 779, 4015, 2223, 646, 1767, 269, 968, 2171, 723, 513, 476, 27843, 298, 630, 320, 1979, 30350, 264, 538, 670, 30865, 476, 1556, 269, 634, 476, 27843, 298, 729, 4516, 779, 2866, 7077, 585, 519, 2898, 540, 519, 476, 4572, 271, 338, 269, 3509, 540, 4516, 779, 25142, 513, 806, 538, 519, 11135, 540, 6628, 8036, 693, 645, 867, 523, 3034, 1103, 1249, 267, 476, 6812, 829, 1298, 540, 782, 21804, 8036, 538, 4516, 538, 519, 3689, 2622, 2782, 941, 8036, 693, 645, 867, 523, 563, 12988, 693, 519, 1292, 9754, 267, 27068, 2306, 2027, 4063, 540, 519, 10548, 7382, 2443, 4516, 779, 9295, 547, 7382, 1374, 538, 519, 5822, 2622, 2782, 563, 22154, 7382, 729, 519, 9030, 2866, 1907, 585, 1034, 9576, 8225, 14022, 10696, 17620, 2367, 269, 1284, 723, 606, 631, 1704, 1769, 7382, 1031, 547, 5721, 8225, 7382, 619, 1354, 519, 12625, 540, 519, 10548, 269, 5637, 891, 13688, 20690, 2740, 519, 6186, 1819, 24767, 685, 1967, 538, 519, 7969, 5859, 543, 519, 19566, 2342, 5859, 538, 519, 5822, 2622, 2782, 2223, 646, 1767, 563, 14881, 1223, 979, 593, 585, 3476, 1317, 267, 1256, 1498, 594, 723, 1044, 1934, 585, 1614, 1296, 267, 594, 993, 12423, 2370, 543, 2462, 16782, 782, 519, 942, 1848, 0, 2005, 779, 1044, 513, 9157, 1032, 585, 1004, 609, 5312, 2175, 971, 607, 3987, 267, 609, 930, 4105, 6527, 538, 2110, 3761, 269, 12128, 19829, 590, 3201, 14877, 918, 310, 32670, 6941, 1018, 568, 8345, 543, 1018, 547, 798, 827, 621, 563, 3963, 568, 972, 513, 6646, 17732, 286, 1703, 616, 1896, 2188, 602, 666, 3565, 547, 513, 17522, 538, 519, 3761, 540, 6527, 269, 1452, 1331, 912, 268, 21463, 538, 519, 5663, 2371, 1519, 1373, 30465, 267, 6806, 267, 6410, 610, 24673, 454, 268, 1689, 538, 3747, 1813, 547, 2242, 538, 1072, 19995, 4791, 2259, 4808, 454, 268, 17732, 540, 6151, 5820, 454, 268, 19944, 6672, 1813, 547, 2754, 3375, 454, 268, 2067, 12469, 454, 268, 2199, 610, 3486, 2591, 538, 5478, 543, 610, 6283, 454, 268, 1587, 31061, 1813, 547, 6397, 2298, 543, 3106, 2152, 563, 3674, 519, 6646, 17732, 693, 513, 2199, 7400, 610, 513, 3084, 7400, 888, 15919, 972, 1223, 581, 513, 10151, 17522, 538, 519, 3761, 540, 513, 6646, 693, 513, 2199, 1377, 267, 799, 1797, 519, 6646, 568, 28998, 693, 1978, 7966, 9313, 610, 2127, 269, 901, 4523, 950, 972, 568, 606, 2333, 538, 3747, 689, 6800, 269, 901, 17522, 568, 7363, 17251, 3533, 267, 2899, 519, 2199, 26849, 543, 519, 17783, 29993, 25579, 880, 1007, 13632, 269, 1403, 519, 6646, 17732, 568, 693, 3084, 1377, 267, 621, 949, 581, 602, 519, 3761, 1369, 5245, 568, 10010, 547, 2743, 609, 3747, 269, 1452, 22520, 666, 2063, 585, 1896, 3275, 563, 1692, 1223, 596, 6166, 952, 972, 568, 513, 3084, 17732, 540, 519, 6646, 596, 616, 2921, 888, 16100, 621, 909, 593, 519, 570, 16598, 3896, 634, 634, 8427, 6153, 338, 10029, 630, 307, 16598, 264, 568, 519, 8241, 2229, 9431, 8116, 540, 4915, 543, 519, 31706, 269, 898, 568, 16601, 585, 782, 3075, 3549, 547, 1867, 547, 519, 570, 16598, 1022, 2062, 5408, 762, 6646, 22520, 1369, 519, 1985, 3670, 3275, 269, 1411, 666, 6166, 952, 972, 568, 513, 3084, 17732, 538, 5245, 676, 3351, 2358, 519, 4915, 17732, 5359, 6538, 267, 799, 568, 2139, 689, 519, 570, 16598, 3896, 563, 1607, 6538, 2636, 596, 547, 3406, 585, 11955, 602, 616, 538, 2110, 3761, 610, 19944, 4240, 267, 799, 2882, 782, 13310, 6527, 543, 930, 936, 7308, 23716, 6527, 269, 7102, 1344, 827, 1018, 568, 1373, 2944, 827, 519, 17732, 786, 849, 581, 3769, 538, 519, 6538, 269, 1717, 267, 519, 570, 16598, 3896, 1281, 711, 1683, 1022, 4791, 5796, 3823, 707, 1808, 2783, 563, 23921, 5796, 286, 28423, 547, 707, 1072, 4648, 563, 5629, 596, 917, 602, 972, 568, 513, 3084, 17732, 540, 519, 6646, 267, 621, 568, 1271, 547, 3343, 5796, 689, 707, 1072, 4648, 269, 17616, 267, 3717, 547, 707, 2199, 14278, 626, 269, 2659, 14278, 626, 666, 4217, 596, 676, 8380, 596, 593, 519, 7227, 4289, 267, 865, 602, 2899, 519, 6646, 568, 1394, 538, 6006, 267, 789, 666, 3346, 596, 269, 769, 519, 29291, 267, 789, 666, 948, 596, 676, 5356, 606, 4244, 6216, 799, 3568, 519, 1482, 3742, 12146, 267, 952, 621, 568, 2139, 563, 2252, 972, 568, 1100, 4244, 6216, 2139, 267, 707, 14278, 626, 949, 581, 2111, 547, 18973, 596, 543, 707, 13382, 1018, 519, 2139, 8925, 616, 585, 519, 942, 1373, 269, 6884, 972, 616, 4244, 3681, 2139, 538, 519, 1106, 540, 513, 1114, 4915, 799, 12851, 547, 519, 1482, 1362, 540, 6646, 543, 2488, 1360, 2147, 9354, 4093, 269, 1411, 786, 991, 547, 3717, 547, 707, 13382, 267, 607, 646, 610, 1352, 786, 581, 519, 835, 1034, 5432, 609, 707, 2783, 269, 2659, 13382, 786, 1287, 581, 2111, 547, 21559, 519, 1034, 3617, 4244, 2126, 3681, 585, 596, 563, 3674, 713, 513, 1085, 600, 888, 2171, 782, 917, 519, 6031, 602, 952, 1945, 4992, 1932, 1434, 547, 581, 3020, 267, 621, 4440, 568, 269, 634, 1482, 10039, 547, 6527, 269, 1403, 972, 568, 513, 3084, 6646, 17732, 543, 596, 616, 3478, 15737, 610, 4466, 1344, 593, 1514, 2923, 827, 11449, 6646, 593, 2993, 710, 267, 621, 949, 538, 1249, 581, 513, 1085, 600, 269, 634, 570, 16598, 814, 1336, 1082, 8320, 540, 1085, 4461, 4478, 3987, 6527, 538 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 1411, 917, 267, 594, 20595, 1250, 1482, 3109, 13617, 9133, 10887, 585, 5756, 269, 1809, 945, 602, 729, 593, 13680, 11016, 594, 9364, 5957, 1945, 3116, 269, 1656, 2943, 649, 4312, 3893, 2021, 538, 513, 3510, 1141, 789, 723, 547, 1413, 1114, 1169, 1554, 269, 2107, 972, 781, 10839, 267, 1793, 641, 6853, 267, 1318, 267, 602, 4990, 540, 3364, 269, 1809, 19037, 267, 602, 781, 602, 781, 1946, 594, 2161, 602, 519, 519, 519, 13545, 858, 8430, 737, 6506, 596, 1141, 621, 12523, 269, 1772, 519, 979, 1310, 4008, 899, 267, 2731, 6213, 286, 1411, 917, 267, 2027, 2127, 1369, 1141, 519, 29388, 723, 519, 7887, 2883, 1764, 616, 1346, 1919, 602, 616, 2186, 540, 4008, 838, 527, 267, 4008, 267, 703, 13208, 269, 9093, 269, 1284, 899, 938, 10412, 25099, 269, 1284, 2648, 1346, 1346, 1205, 5734, 609, 267, 899, 476, 276, 260, 476, 276, 811, 267, 30610, 267, 899, 621, 781, 899, 476, 1626, 260, 585, 2367, 781, 10412, 695, 16630, 269, 1703, 781, 513, 476, 1015, 260, 585, 2021, 1945, 899, 602, 267, 855, 594, 4312, 594, 4312, 2196, 519, 2338, 267, 543, 1287, 519, 14919, 269, 898, 2501, 856, 513, 2370, 3787, 2362, 2883, 1764, 585, 2021, 781, 5370, 16865, 585, 8951, 8957, 9038, 269, 1809, 594, 14353, 602, 936, 942, 594, 723, 594, 723, 1079, 2042, 602, 936, 942, 594, 723, 1100, 8969, 602, 519, 2021, 781, 5370, 538, 519, 14919, 723, 1044, 5734, 13840, 1454, 9875, 982, 2367, 267, 631, 2297, 5370, 269, 1656, 519, 824, 851, 568, 267, 30610, 267, 519, 4316, 547, 1711, 3765, 27815, 568, 621, 781, 3520, 16781, 748, 1934, 543, 1616, 17515, 269, 1809, 1577, 781, 979, 1394, 547, 713, 5370, 851, 602, 932, 848, 568, 6158, 827, 5370, 267, 596, 917, 269, 2052, 649, 7128, 621, 286, 4270, 267, 519, 5313, 2229, 1281, 711, 723, 519, 5837, 6392, 267, 519, 7128, 267, 519, 14499, 540, 5370, 602, 616, 30630, 547, 25469, 693, 10685, 269, 4208, 286, 5221, 519, 5313, 2229, 10997, 4008, 6976, 1759, 1104, 9204, 593, 10887, 543, 593, 7802, 269, 4107, 540, 938, 7802, 568, 16865, 269, 4107, 540, 938, 10887, 616, 16865, 269, 1924, 875, 666, 519, 2229, 979, 547, 9546, 27926, 2161, 267, 19850, 267, 596, 917, 596, 991, 803, 1631, 519, 5313, 1876, 602, 1256, 1498, 649, 2811, 12123, 1114, 29388, 1104, 9204, 593, 519, 5370, 1759, 593, 4008, 267, 596, 596, 666, 1405, 1491, 707, 3339, 1665, 1575, 593, 602, 269, 2353, 1318, 267, 621, 781, 21494, 563, 2419, 848, 3212, 1188, 5069, 281, 476, 3374, 281, 7918, 454, 3383, 1463, 4655, 540, 1719, 563, 28061, 595, 821, 267, 10507, 336, 12727, 476, 3374, 281, 6812, 454, 2005, 781, 513, 4655, 540, 1719, 267, 543, 538, 1876, 267, 649, 1131, 2161, 596, 723, 11515, 534, 3946, 269, 1411, 666, 1405, 29153, 827, 513, 1966, 602, 596, 616, 4929, 267, 538, 851, 1317, 596, 917, 602, 835, 543, 476, 272, 270, 273, 2600, 602, 781, 4947, 538, 593, 782, 602, 16463, 31321, 621, 781, 711, 1175, 476, 272, 269, 276, 260, 4991, 6825, 909, 1524, 519, 1899, 676, 519, 942, 4991, 547, 10685, 269, 2334, 1223, 581, 476, 276, 260, 811, 267, 596, 917, 269, 3973, 1287, 476, 272, 269, 276, 10065, 1924, 519, 2229, 814, 11515, 534, 3946, 538, 713, 4901, 267, 543, 1287, 594, 3513, 2285, 596, 1776, 269, 1924, 865, 596, 723, 2789, 5716, 538, 519, 3761, 5832, 945, 781, 3743, 585, 519, 11186, 1063, 513, 11909, 28886, 19564, 543, 513, 4544, 28886, 19564, 267, 26001, 286, 1879, 621, 2501, 547, 16463, 17309, 267, 31321, 267, 543, 23157, 267, 513, 1360, 1713, 6712, 540, 873, 616, 3454, 539, 8335, 676, 519, 2229, 593, 1104, 269, 1656, 1287, 267, 593, 1283, 540, 602, 267, 596, 723, 5478, 6700, 10685, 3902, 269, 9049, 14641, 781, 269, 1411, 4440, 4862, 827, 621, 269, 1924, 952, 596, 2811, 513, 3075, 4558, 543, 596, 2811, 9513, 782, 891, 30143, 543, 986, 345, 832, 543, 782, 602, 8631, 543, 741, 2101, 12478, 941, 513, 2603, 540, 1346, 12478, 267, 649, 723, 606, 631, 590, 267, 681, 269, 623, 269, 1656, 952, 1346, 8637, 6133, 2630, 602, 267, 519, 12478, 1131, 2161, 267, 1280, 1326, 621, 269, 1284, 2811, 711, 27613, 6133, 547, 596, 15042, 269, 3767, 803, 13948, 267, 594, 1589, 602, 781, 3902, 1922, 30480, 267, 543, 621, 2386, 1281, 3280, 899, 621, 269, 1809, 519, 10966, 7040, 814, 18808, 609, 713, 267, 543, 972, 781, 513, 1360, 2025, 2013, 540, 936, 476, 1911, 1296, 2025, 1572, 2051, 22017, 267, 1141, 789, 4847, 10672, 781, 6700, 10685, 5777, 585, 4128, 649, 1810, 1405, 4465, 1405, 979, 883, 1282, 713, 4901, 267, 855, 594, 1924, 594, 1745, 602, 519, 11909, 3454, 593, 5370, 2115, 547, 581, 12193, 693, 519, 29065, 1377, 676, 1004, 899, 721, 543, 676, 4136, 553, 619, 540, 10685, 269, 901, 568, 1141, 707, 19700, 1058, 6432, 909, 1317, 267, 30610, 267, 972, 616, 513, 2603, 540, 15361, 538, 10685, 269, 589, 11909, 986, 345, 528, 610, 25316, 619, 2869, 656, 538, 513, 11909, 5068, 8708, 267, 6148, 811, 269, 3973, 513, 4544, 986, 345, 528, 610, 25316, 619, 2869, 656, 538, 513, 4544, 5068, 8708, 269, 772, 327, 267, 543, 621, 3006, 519, 16602, 621, 4991, 16602, 269, 1924, 267, 585, 1383, 267, 596, 1522, 4584, 909, 513, 5256, 543, 4775, 4528, 540, 524, 860, 928, 610, 25316, 619, 2869, 656, 267, 543, 519, 6529, 518, 3902, 949, 581, 519, 1482, 267, 855, 519, 4775, 4528, 949, 723, 3368, 606, 26412, 1447, 982, 519, 812, 4528, 538, 23711, 269, 1403, 596, 1413, 693, 519, 23711, 3381, 593, 713, 267, 594, 1589, 789, 3357, 909, 609, 513, 7008, 540, 1806, 899, 602, 269, 1809, 972, 616, 7044, 856, 972, 1141, 713, 568, 269, 901, 568, 851, 540, 519, 8945, 269, 898, 5654, 519, 1482, 269, 6733, 267, 519, 4320, 5654, 519, 1482, 267, 855, 621, 781, 711, 563, 293, 601, 6559, 3657, 1998, 334, 281, 476, 4343, 281, 7367, 454, 2005, 781, 1390, 267, 543, 594, 1589, 621, 781, 1945, 649, 2811, 454, 28061, 595, 821, 267, 10507, 336, 12727, 476, 4343, 281, 7918, 454, 293, 601, 6559, 3657, 1998, 334, 281, 476, 4343, 281, 4649, 454, 296, 6415, 11842, 1018, 2186, 540, 1198, 666, 513, 6521, 538, 3761, 610, 538, 3747, 286, 2052, 602, 8945, 548, 1524, 782, 519, 1259, 1524, 998, 519, 3761, 9055, 286, 1403, 6800, 1616, 547, 267, 585, 1383, 267, 596, 917, 267, 678, 718, 1221, 1927, 543, 1711, 513, 6521, 538, 519, 3747, 563, 28061, 595, 821, 267, 10507, 336, 12727, 476, 4375, 281, 1704, 454, 296, 1589, 602, 781, 8345, 1631, 267, 543, 594, 2965, 1589, 621, 781, 8345, 1631, 269, 594, 1589, 594, 1611, 267, 27010, 814, 2097, 856, 2907, 543, 1767, 602, 789, 2811, 711, 267, 1411, 917, 267, 602, 789, 616, 8165, 4008, 2861, 14499, 693, 10685, 269, 1703, 814, 1044, 513, 15494, 269, 898, 3884, 1405, 621, 3884, 1405, 513, 2347, 15494, 267, 855, 596, 917, 267, 519, 986, 345, 528, 3390, 543, 519, 1259, 1004, 899, 596, 543, 1004, 899, 803, 269, 1284, 2811, 8380, 3978, 2604, 593, 519, 3549, 547, 4368, 713, 1966, 1317, 1247, 621, 949, 3775, 267, 2367, 781, 5370, 616, 3006, 2362, 543, 2367, 6157, 798, 7985, 7130, 267, 14882, 607, 1134, 269, 1879, 596, 2811, 6158, 827, 14499, 693, 10685, 585, 3028, 568, 538, 5370, 269, 634, 538, 2489, 602, 16125, 519, 9224, 9875, 982, 9038, 543, 789, 2811, 6947, 1631, 269, 594, 729, 594, 6415, 2469, 547, 798, 513, 11909, 3454, 8470, 1934, 896, 519, 513, 22273, 1182, 540, 9167, 4657, 3864, 5742, 25679, 540, 25642, 538, 5130, 5988, 543, 941, 16298, 909, 930, 1434, 10529, 543, 19937, 1235, 269, 1809, 513, 4807, 2324, 609, 803, 593, 602, 2366, 803, 513, 8738, 3455, 3751, 740, 269, 5620, 596, 2938, 519, 8738, 3455, 3751, 11909, 3454, 740, 888, 298, 520, 773, 7780, 614, 3724, 281, 476, 2412, 281, 2764, 454, 28061, 595, 821, 267, 10507, 336, 12727, 476, 2412, 281, 3066, 454, 1492, 8738, 3455, 3751, 8738, 3455, 3751, 814, 606, 740, 1141, 4807, 267, 6075, 267, 2582, 6075, 269, 1411, 1205, 891, 602, 9269, 535, 1845, 267, 855, 621, 781, 538, 513, 11909, 8708, 267, 865, 596, 723, 547, 2628, 811, 269, 1656, 1287, 543, 1287, 972, 781, 899, 22035, 7321, 269, 1323, 4661, 609, 513, 6075, 1310, 6075, 982, 8738, 3455, 3751, 2501, 856, 543, 3081, 267, 674, 697, 11909, 3454, 269, 3767, 602, 781, 2309, 2065, 269, 6145, 8738, 3455, 3751, 3085, 1405, 723, 1022, 267, 596, 917, 621, 3085, 1405, 723, 513, 2915, 538, 713, 4339, 269, 898, 781, 3843, 547, 6133, 8738, 3455, 3751, 1426, 676, 1210, 513, 1857, 3760, 22215, 519, 11909, 3454, 563, 2419, 848, 3212, 1188, 5069, 281, 476, 6078, 281, 6860, 454, 6546, 781, 4010, 1018, 713, 568, 267, 1141, 649, 616, 6725, 2676, 28061, 595, 821, 267, 10507, 336, 12727, 476, 6078, 281, 5881, 454, 2431, 286, 1809, 621, 729, 6725, 269, 898, 568, 6725, 267, 855, 1809, 596, 1589, 540, 621, 269, 8738, 3455, 3751, 568, 3222, 540, 713, 269, 1358, 2811, 27613, 946, 621, 269, 594, 1611, 2334, 568, 851, 540, 519, 1847, 269, 898, 568, 851, 540, 519, 31135, 602, 568, 2469, 593, 1318, 1631, 2066, 519, 2197, 269, 1656, 9811, 267, 621, 781, 6725, 269, 8786, 267, 621, 781, 2309, 2065, 269, 1809, 693, 1101, 594, 2219, 267, 23010, 267, 15528, 267, 16921, 267, 596, 2811, 3843, 547, 946, 713, 1175, 547, 6133, 811, 3728, 1426, 267, 543, 1287, 594, 2219, 2622, 267, 1022, 948, 2337, 1318, 1631, 267, 594, 1611, 267, 1317, 649, 991, 547, 1205, 891, 4031, 2250, 543, 9493, 1695, 267, 649, 991, 547, 1205, 519, 561, 17690, 2250, 543, 1656, 865, 267, 19804, 267, 7102, 3118, 267, 30610, 267, 594, 3513, 1577, 596, 16921, 1847, 713, 6643, 1134, 267, 594, 1589, 538, 1776, 4287, 267, 1317, 594, 786, 1175, 1832, 2469, 2676, 2419, 848, 3212, 1188, 5069, 281, 476, 6078, 281, 7906, 454, 763, 2243, 594, 723, 585, 596, 543, 713, 568, 713, 568, 513, 2898, 1114, 835, 269, 1656, 713, 568, 1141, 649, 2731, 2911, 827, 2533, 610, 513, 1587, 538, 2489, 602, 2367, 1810, 1405, 946, 1317, 649, 1810, 1405, 991, 547, 269, 1656, 594, 3513, 723, 594, 269, 6183, 958, 8422, 4374, 3516, 267, 1250, 7385, 4280, 803, 952, 594, 1131, 3247, 676, 27010, 269, 594, 729, 593, 1250, 1259, 543, 4584, 1200, 909, 930, 21522, 2472, 267, 930, 512, 2086, 976, 269, 1656, 540, 1576, 267, 1169, 812, 14560, 547, 979, 798, 602, 269, 772, 332, 267, 594, 4682, 538, 547, 27010, 267, 543, 594, 4769, 1405, 917, 1141, 1022, 540, 621, 729, 543, 594, 1185, 547, 2307, 711, 547, 2446, 602, 519, 2947, 2929, 1114, 2010, 972, 616, 267, 543, 519, 1603, 568, 865, 1507, 593, 782, 540, 873, 602, 594, 1810, 1405, 917, 519, 3017, 1063, 267, 543, 594, 6415, 711, 27613, 1205, 8642, 593, 713, 267, 1809, 972, 616, 267, 899, 865, 1082, 1114, 3283, 269, 1656, 540, 1576, 594, 4769, 1405, 4444, 519, 1318, 835, 269, 1809, 1934, 781, 519, 3364, 269, 3733, 7385, 8694, 909, 2469, 1394, 1317, 594, 4769, 1405, 269, 1358, 782, 1413, 519, 1482, 454, 293, 601, 6559, 3657, 1998, 334, 281, 476, 5655, 281, 5325, 454, 2791, 575, 27198, 1205, 513, 4605, 563, 2419, 848, 3212, 1188, 5069, 281, 476, 5655, 281, 5392, 454, 10214, 609, 519, 4605, 267, 1352, 1705, 6494, 803, 513, 4605, 269, 1809, 1256, 609, 602, 267, 1603, 593, 827, 799, 835, 1352, 2877, 729, 865, 1507, 543, 782, 519, 10833, 6743, 4010, 519, 1482, 602, 594, 2219, 602, 594, 729, 1869, 3478, 519, 1318, 835, 602, 3564, 602, 568, 950, 594, 6976, 585, 621, 267, 594, 7691, 602, 972, 729, 513, 6455, 3454, 593, 621, 269, 1656, 585, 519, 13074, 942, 267, 585, 930, 2601, 267, 594, 1185, 2219, 602, 21522, 9882, 2472, 941, 711, 3454, 762, 269, 594, 2219, 789, 941, 267, 899, 267, 20248, 267, 899, 1426, 269, 1656, 454, 28061, 595, 821, 267, 10507, 336, 12727, 476, 6246, 281, 866, 454, 2419, 848, 3212, 1188, 5069, 281, 476, 6246, 281, 866, 454, 10190, 950, 594, 1336, 856, 649, 941, 27613, 723, 596, 594, 6415, 899, 267, 7937, 267, 1250, 2696, 267, 594, 12777 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 723, 547, 798, 568, 547, 24946, 602, 6174, 547, 721, 693, 6153, 15884, 2961, 5213, 725, 563, 2171, 786, 25488, 1055, 707, 21856, 547, 6318, 7482, 585, 519, 2146, 2861, 3292, 543, 2533, 540, 519, 6153, 15884, 3906, 538, 707, 1858, 269, 1452, 594, 11965, 2275, 1068, 1881, 476, 26341, 6262, 264, 274, 1875, 2889, 22327, 786, 946, 519, 7616, 547, 1683, 27797, 2043, 609, 3255, 585, 2069, 543, 7694, 269, 1452, 786, 5555, 5512, 873, 547, 2972, 2883, 5191, 543, 513, 1732, 2298, 540, 1272, 563, 2026, 513, 6153, 15884, 20033, 267, 596, 3580, 2972, 15813, 829, 802, 269, 31035, 689, 519, 7772, 540, 6616, 602, 596, 3580, 581, 4543, 1447, 26752, 11570, 12492, 513, 1732, 2298, 540, 1272, 267, 596, 3580, 849, 1265, 9547, 950, 649, 688, 592, 1055, 707, 6174, 585, 1863, 543, 5512, 596, 547, 4309, 513, 5021, 3454, 17429, 794, 538, 519, 1985, 3454, 4005, 563, 2171, 3398, 5176, 782, 6174, 2010, 267, 1256, 1346, 602, 616, 1100, 3476, 2324, 5265, 563, 10403, 23067, 689, 519, 717, 8692, 540, 24770, 4653, 2336, 23895, 14896, 622, 14412, 4303, 538, 513, 1034, 6209, 1259, 713, 1032, 676, 3257, 1945, 602, 786, 1863, 707, 1447, 26752, 12543, 689, 519, 804, 583, 2583, 540, 6710, 269, 11910, 6153, 15884, 2961, 5213, 725, 693, 476, 279, 5780, 268, 22001, 268, 5952, 279, 277, 610, 6445, 856, 938, 2228, 21856, 1106, 2221, 256, 0, 12041, 281, 24910, 24747, 518, 454, 21366, 281, 476, 2412, 279, 2791, 12564, 12226, 454, 4692, 25647, 14918, 3548, 1035, 27163, 888, 4407, 972, 568, 1100, 17046, 2626, 547, 713, 2243, 267, 607, 1142, 25647, 6477, 781, 1367, 8192, 2115, 949, 4268, 267, 621, 568, 3622, 711, 5227, 547, 3049, 1035, 27163, 547, 25647, 14918, 269, 3600, 27163, 2270, 1164, 2157, 540, 512, 2335, 1231, 267, 799, 666, 1291, 547, 14159, 1928, 267, 13165, 267, 543, 824, 9667, 2152, 538, 25647, 14918, 269, 3958, 267, 519, 2182, 9403, 540, 1035, 27163, 666, 849, 10460, 513, 669, 3183, 9651, 269, 1403, 596, 798, 3442, 547, 3049, 1035, 27163, 547, 707, 25647, 6477, 267, 621, 568, 1271, 547, 798, 865, 538, 20208, 543, 547, 6895, 707, 4620, 585, 1022, 2942, 6547, 563, 1432, 616, 1035, 27163, 888, 10907, 27163, 616, 519, 4829, 540, 519, 18073, 3529, 269, 2290, 18073, 3529, 666, 3132, 936, 476, 1015, 267, 1822, 1035, 27163, 538, 513, 4005, 269, 3600, 27163, 616, 3638, 538, 5567, 267, 2523, 3170, 543, 11950, 267, 799, 2306, 873, 606, 1271, 1426, 2707, 585, 2831, 899, 25277, 267, 13650, 267, 543, 795, 904, 269, 3600, 27163, 616, 849, 1031, 538, 2757, 4915, 269, 3600, 27163, 2270, 513, 1164, 1377, 540, 512, 2335, 1231, 267, 799, 666, 1118, 873, 6492, 513, 11415, 550, 269, 570, 2335, 1231, 616, 513, 1826, 540, 25168, 1156, 565, 543, 616, 849, 1336, 538, 7401, 267, 9174, 267, 543, 930, 5613, 269, 3600, 27163, 666, 581, 13881, 6151, 267, 28777, 267, 610, 2666, 883, 513, 7912, 269, 1879, 1035, 27163, 616, 2666, 883, 513, 7912, 267, 519, 512, 2335, 1231, 616, 6569, 267, 799, 2306, 519, 7912, 811, 5493, 23534, 269, 3600, 27163, 616, 513, 1434, 2707, 540, 14434, 267, 799, 616, 7135, 602, 2149, 2281, 689, 3441, 269, 4165, 9171, 1218, 666, 948, 547, 2061, 3676, 899, 2860, 543, 2295, 2068, 269, 3600, 27163, 616, 849, 513, 1434, 2707, 540, 6775, 267, 799, 666, 948, 547, 2087, 12536, 543, 10038, 1973, 4006, 2157, 269, 1924, 267, 1018, 616, 1035, 27163, 286, 3600, 27163, 616, 519, 4829, 540, 519, 18073, 3529, 602, 616, 3638, 538, 5567, 543, 723, 1082, 1072, 2640, 563, 1432, 798, 1035, 27163, 2270, 888, 10907, 27163, 616, 519, 4829, 540, 519, 18073, 3529, 543, 2270, 1369, 873, 519, 18073, 781, 6079, 269, 634, 1035, 1941, 781, 7387, 568, 2182, 543, 14014, 519, 6079, 3330, 269, 1879, 519, 1035, 1941, 568, 9921, 267, 621, 8813, 689, 519, 3529, 547, 519, 2666, 269, 1703, 267, 952, 519, 2175, 616, 1318, 267, 519, 1035, 1941, 786, 17708, 339, 543, 1332, 883, 513, 1007, 18073, 3529, 269, 3600, 27163, 616, 606, 1271, 1426, 2707, 585, 1082, 2831, 267, 1519, 25277, 267, 13650, 267, 543, 8983, 269, 3962, 1035, 1941, 666, 2270, 909, 547, 476, 1839, 260, 540, 922, 2597, 538, 3170, 267, 1818, 873, 513, 17811, 11656, 1426, 602, 2337, 2831, 7639, 519, 5162, 269, 18972, 723, 849, 13881, 1035, 27163, 585, 5553, 269, 1358, 666, 581, 23017, 610, 28777, 547, 4894, 519, 15280, 1145, 543, 1287, 2666, 883, 7912, 269, 3600, 27163, 616, 606, 1271, 851, 540, 519, 4104, 5117, 269, 1358, 1683, 1426, 585, 2831, 543, 948, 547, 25579, 880, 519, 4104, 609, 1007, 4054, 563, 6701, 1035, 27163, 2922, 585, 25647, 14918, 888, 294, 9334, 320, 14918, 616, 2442, 10130, 267, 543, 1082, 1004, 3442, 873, 1317, 789, 616, 1507, 543, 1970, 31720, 5199, 269, 1717, 267, 1256, 1498, 789, 616, 1507, 2831, 267, 789, 1869, 991, 513, 9867, 543, 14312, 2732, 547, 3251, 2635, 269, 2290, 2243, 602, 1082, 25647, 6477, 5411, 723, 568, 2436, 610, 711, 1035, 27163, 616, 2922, 585, 741, 10130, 547, 3548, 269, 3600, 27163, 616, 519, 4829, 540, 519, 18073, 3529, 267, 543, 789, 616, 1419, 1336, 593, 519, 2666, 9944, 18073, 4054, 269, 1358, 616, 1507, 267, 2182, 267, 543, 723, 513, 6960, 610, 15454, 7387, 269, 634, 3330, 540, 606, 1035, 1941, 568, 3043, 543, 17580, 267, 543, 621, 3568, 513, 2582, 17830, 269, 3600, 27163, 616, 513, 1434, 2707, 540, 1426, 585, 1082, 2831, 267, 1519, 25277, 267, 5017, 267, 543, 13650, 269, 1924, 267, 616, 1035, 27163, 2922, 585, 25647, 14918, 286, 634, 2626, 568, 9811, 256, 3600, 27163, 616, 2922, 585, 25647, 14918, 547, 3548, 267, 543, 789, 666, 2965, 581, 3833, 1434, 585, 873, 269, 3600, 27163, 616, 513, 1434, 2707, 540, 1082, 5567, 602, 25647, 14918, 991, 267, 1519, 3940, 267, 3170, 267, 543, 6775, 269, 1358, 849, 2270, 12192, 661, 267, 799, 568, 1271, 585, 2635, 2960, 543, 9663, 269, 2986, 1576, 267, 596, 12582, 1405, 1175, 2285, 707, 25647, 6477, 513, 19625, 540, 1035, 27163, 543, 1577, 873, 979, 547, 4884, 269, 3600, 27163, 1058, 581, 2016, 538, 20208, 267, 543, 789, 1058, 2141, 581, 2016, 2898, 267, 711, 7745, 610, 16760, 269, 901, 568, 1317, 519, 7387, 540, 606, 1035, 1941, 666, 581, 8325, 267, 543, 621, 1223, 10413, 707, 25647, 6477, 952, 789, 2119, 547, 3548, 621, 269, 1403, 596, 1616, 547, 2285, 707, 25647, 6477, 1035, 27163, 267, 1376, 676, 4758, 873, 835, 610, 1079, 693, 513, 942, 269, 1403, 789, 3100, 547, 899, 873, 543, 972, 616, 1100, 8801, 2360, 267, 596, 666, 7444, 2333, 519, 2179, 596, 2285, 873, 269, 1306, 609, 1022, 1007, 1426, 267, 621, 781, 2141, 513, 1434, 2856, 547, 4585, 707, 25647, 6477, 5702, 1310, 789, 3548, 1035, 27163, 547, 1118, 2386, 789, 616, 7558, 532, 873, 5265, 543, 1810, 1405, 3100, 547, 581, 7680, 1022, 2042, 269, 15788, 267, 1035, 27163, 616, 2922, 585, 25647, 14918, 543, 666, 2965, 581, 3833, 6225, 585, 873, 269, 1403, 596, 6430, 547, 2285, 707, 25647, 6477, 1035, 27163, 267, 581, 2386, 547, 798, 865, 538, 20208, 543, 1152, 2285, 873, 2898, 1035, 27163, 269, 1635, 3257, 713, 267, 596, 666, 581, 2386, 602, 707, 25647, 6477, 786, 3251, 2635, 543, 6126, 2336, 1692, 1454, 1035, 1941, 1058, 513, 25647, 6477, 3548, 888, 288, 25647, 6477, 1058, 3548, 827, 1079, 26486, 540, 1035, 1941, 829, 1554, 563, 1432, 616, 519, 2640, 540, 1035, 27163, 585, 25647, 14918, 888, 763, 2640, 540, 1035, 27163, 585, 25647, 14918, 616, 1082, 543, 9867, 269, 3600, 27163, 1683, 1898, 5567, 602, 25647, 14918, 991, 585, 1434, 1072, 267, 1519, 3940, 267, 1898, 9761, 7408, 267, 8324, 267, 543, 6886, 269, 3600, 27163, 616, 849, 513, 1434, 2707, 540, 8192, 6775, 267, 799, 568, 1271, 585, 16063, 1072, 269, 3958, 267, 1035, 27163, 2270, 14434, 602, 666, 948, 547, 2149, 1996, 10408, 3441, 269, 19892, 14918, 3335, 3548, 1472, 476, 273, 268, 274, 260, 540, 741, 1560, 2597, 538, 3819, 1426, 829, 1554, 269, 1280, 513, 2635, 2937, 25647, 6477, 267, 602, 1131, 581, 5111, 476, 272, 270, 279, 547, 476, 272, 270, 275, 7484, 540, 3819, 1426, 829, 1554, 269, 3600, 27163, 666, 581, 10480, 607, 851, 540, 513, 25647, 6477, 781, 3819, 1426, 32311, 267, 610, 607, 513, 1521, 269, 1879, 8023, 1035, 27163, 607, 513, 1521, 267, 621, 568, 1271, 547, 2709, 1152, 513, 1507, 2179, 693, 513, 942, 267, 607, 1932, 1082, 1035, 27163, 666, 1291, 547, 8377, 269, 3600, 27163, 616, 513, 1434, 2707, 540, 3940, 267, 1898, 9761, 7408, 267, 8324, 267, 543, 6886, 1306, 513, 1164, 3491, 12888, 1426, 267, 1035, 27163, 666, 948, 547, 1489, 519, 2208, 543, 5826, 540, 4887, 5160, 269, 3958, 267, 519, 1898, 9761, 7408, 538, 1035, 27163, 616, 1271, 585, 2960, 543, 10359, 1072, 267, 543, 519, 6171, 543, 7777, 1543, 2337, 547, 1489, 2949, 1072, 543, 1134, 5630, 269, 634, 8192, 6775, 538, 1035, 27163, 568, 1271, 585, 16063, 1072, 26678, 6775, 2337, 547, 1832, 519, 16063, 8778, 2635, 676, 5009, 2834, 640, 543, 7303, 19228, 269, 3958, 267, 6775, 2337, 547, 2569, 519, 1981, 540, 16063, 4713, 971, 607, 31818, 7781, 2068, 543, 897, 28030, 2860, 269, 3600, 27163, 2270, 14434, 602, 666, 948, 547, 2149, 1996, 10408, 3441, 634, 14434, 538, 1035, 27163, 666, 948, 547, 2149, 2281, 689, 3441, 3361, 676, 1863, 18119, 269, 3958, 267, 14434, 723, 1044, 3254, 547, 723, 4550, 13611, 543, 4761, 23418, 677, 633, 2360, 269, 769, 3932, 267, 519, 2640, 540, 1035, 27163, 585, 25647, 14918, 616, 1082, 543, 9867, 269, 3600, 27163, 616, 513, 1434, 2707, 540, 1898, 5567, 267, 8192, 6775, 267, 543, 14434, 269, 1879, 10480, 538, 20208, 267, 1035, 27163, 666, 948, 547, 1489, 519, 2949, 1072, 543, 1134, 5630, 540, 25647, 14918, 563, 6701, 972, 1022, 4220, 2404, 609, 8023, 1035, 27163, 547, 25647, 14918, 888, 2467, 616, 1896, 4220, 2404, 609, 8023, 1035, 27163, 547, 25647, 14918, 269, 3600, 27163, 2270, 1164, 2157, 540, 512, 2335, 1231, 267, 799, 666, 1291, 547, 16063, 11605, 543, 3978, 1072, 2042, 899, 6797, 2068, 269, 1358, 849, 2270, 513, 6219, 1572, 844, 2075, 564, 514, 267, 799, 666, 2014, 17350, 538, 25647, 14918, 269, 3600, 27163, 1058, 2760, 581, 2016, 547, 25647, 14918, 267, 607, 1256, 513, 1507, 2179, 666, 2014, 3978, 1072, 2042, 563, 1692, 1419, 666, 25647, 14918, 3548, 1035, 27163, 888, 10907, 27163, 616, 513, 14312, 267, 1164, 19339, 1426, 2707, 602, 666, 581, 13881, 676, 25647, 14918, 593, 513, 2834, 4493, 269, 2755, 972, 568, 1100, 17046, 2626, 593, 875, 1419, 25647, 14918, 666, 3548, 1035, 27163, 267, 789, 666, 3622, 581, 2016, 513, 1906, 1035, 27163, 829, 1554, 607, 851, 540, 513, 7059, 2732, 269, 3600, 27163, 616, 606, 5140, 2707, 540, 5567, 585, 25647, 14918, 267, 607, 789, 616, 1164, 538, 3170, 543, 2270, 513, 3099, 540, 8324, 543, 6886, 269, 769, 1880, 267, 1035, 27163, 616, 513, 1434, 2707, 540, 6171, 661, 267, 799, 568, 1898, 585, 25647, 14918, 262, 2960, 543, 10359, 1072, 269, 3600, 27163, 616, 849, 513, 1434, 2707, 540, 8192, 6775, 267, 799, 666, 948, 1832, 25647, 14918, 262, 9667, 1949, 8647, 5265, 269, 9603, 547, 741, 1164, 3170, 1543, 267, 1035, 27163, 1058, 581, 2016, 547, 25647, 14918, 538, 20208, 269, 3958, 267, 621, 568, 1271, 547, 1118, 2386, 602, 1035, 27163, 616, 2016, 607, 851, 540, 513, 9867, 2732, 602, 2882, 824, 2959, 540, 5567, 269, 1635, 3257, 865, 267, 25647, 14918, 666, 2972, 519, 2640, 540, 1035, 27163, 1247, 1869, 2226, 741, 2949, 1072, 563, 1432, 824, 3536, 666, 25647, 14918, 3548, 2059, 609, 1035, 27163, 888, 10907, 27163, 616, 513, 1826, 540, 2428, 602, 8813, 689, 18073, 4054, 269, 1358, 616, 513, 2442, 1426, 585, 1082, 2831, 267, 1519, 25647, 14918, 269, 769, 519, 3552, 267, 25647, 14918, 1419, 3548, 513, 3099, 540, 3536, 267, 1519, 1035, 27163, 269, 2755, 1035, 27163, 616, 2922, 585, 25647, 14918, 547, 3548, 267, 789, 1058, 711, 581, 519, 1152, 1426, 538, 741, 2732, 269, 589, 2732, 602, 568, 1932, 1164, 538, 1035, 27163, 666, 2014, 13165, 543, 824, 16063, 2152, 269, 769, 1840, 547, 1035, 27163, 267, 25647, 14918, 666, 3548, 513, 3099, 540, 824, 5613, 267, 5388, 267, 543, 18720, 269, 2368, 1434, 3681, 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 ]
[ 0, 8080, 547, 606, 3078, 3460, 883, 519, 1158, 540, 519, 1480, 1560, 256, 4653, 267, 649, 2811, 2469, 547, 1451, 827, 875, 938, 14401, 960, 543, 1946, 789, 616, 865, 1271, 269, 1411, 1522, 4898, 267, 834, 1432, 798, 891, 2370, 21167, 11057, 8219, 798, 8119, 4270, 267, 1577, 803, 2995, 596, 910, 789, 1404, 513, 1713, 1909, 538, 5329, 721, 2635, 2439, 5331, 952, 594, 5795, 596, 513, 4837, 2407, 540, 1216, 543, 4280, 596, 547, 4235, 621, 782, 693, 2899, 269, 2659, 1560, 1131, 991, 547, 1205, 7759, 540, 930, 3063, 5714, 267, 1318, 286, 2334, 781, 1141, 519, 14401, 2097, 538, 13561, 269, 1358, 957, 607, 12086, 585, 707, 1973, 267, 9427, 3653, 2472, 543, 4430, 12862, 1247, 849, 13326, 856, 1898, 6886, 899, 9770, 267, 11379, 267, 543, 7513, 269, 2991, 19003, 267, 1018, 3788, 7140, 883, 10729, 799, 1287, 3762, 519, 1560, 998, 519, 15485, 543, 23443, 628, 571, 269, 30474, 3579, 267, 26001, 2496, 3086, 4952, 2348, 513, 2816, 607, 513, 15705, 945, 18274, 909, 17885, 538, 513, 2749, 1169, 1554, 269, 6884, 972, 666, 581, 1932, 1454, 20203, 533, 6150, 909, 593, 1978, 10754, 282, 13974, 267, 950, 2576, 8813, 2192, 610, 27499, 14432, 1426, 267, 811, 22837, 1628, 909, 538, 519, 1560, 982, 8912, 269, 589, 12963, 26669, 6331, 626, 568, 1175, 899, 602, 15705, 855, 4481, 5059, 593, 4543, 1453, 2226, 2973, 543, 1134, 1922, 4233, 532, 14401, 269, 1452, 7189, 20647, 538, 23235, 543, 8156, 1585, 2175, 7133, 3214, 262, 8459, 1072, 267, 971, 607, 5563, 267, 15110, 4719, 4713, 267, 16991, 3676, 267, 543, 1256, 1164, 1973, 2604, 780, 4263, 6280, 3292, 899, 519, 835, 5018, 538, 519, 4367, 267, 2104, 12963, 26669, 6331, 1235, 4685, 2620, 883, 1620, 3388, 827, 519, 14401, 1107, 689, 4974, 1950, 2564, 2665, 547, 7900, 23361, 630, 604, 2877, 264, 543, 10647, 14262, 1382, 269, 1635, 3257, 865, 267, 789, 2327, 789, 1683, 1283, 27677, 577, 1416, 547, 948, 7210, 3214, 22919, 741, 4222, 543, 2661, 25747, 780, 2080, 781, 606, 4277, 1249, 281, 9894, 596, 917, 602, 20691, 1995, 2242, 538, 741, 4703, 1282, 2230, 2951, 1813, 547, 2890, 6588, 6143, 286, 2290, 8037, 1689, 4523, 1369, 741, 17256, 1949, 1317, 8904, 1100, 3476, 27605, 15629, 12862, 18746, 4724, 519, 2539, 17119, 885, 269, 1306, 513, 1267, 267, 519, 2295, 3085, 1405, 723, 547, 6802, 1996, 8904, 547, 2132, 1973, 1394, 547, 519, 5580, 1560, 267, 3056, 547, 2799, 1973, 2095, 547, 519, 2212, 269, 1924, 267, 3173, 1353, 875, 891, 2189, 6381, 1860, 20691, 262, 8459, 1599, 267, 3850, 873, 547, 1020, 4831, 1889, 9778, 547, 1832, 938, 12703, 17701, 2922, 543, 2635, 1282, 13485, 269, 1215, 5863, 568, 602, 31841, 3383, 1985, 942, 596, 946, 519, 1964, 3336, 267, 3314, 1346, 2182, 11529, 14401, 3330, 596, 267, 23900, 7738, 1919, 909, 543, 4509, 3666, 269, 1656, 6148, 14693, 267, 596, 1223, 1831, 513, 12963, 26669, 6331, 626, 3054, 267, 4180, 824, 3214, 1332, 2178, 543, 2635, 7064, 547, 741, 5265, 8647, 14401, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 14188, 596, 585, 707, 1719, 538, 519, 2160, 540, 12309, 17925, 13605, 327, 14347, 31776, 2866, 1982, 269, 3776, 1982, 814, 513, 1279, 1686, 540, 2866, 519, 3401, 540, 14182, 538, 519, 2127, 540, 1382, 267, 7245, 543, 3461, 1416, 563, 2171, 616, 6131, 547, 3246, 4791, 2866, 543, 1382, 3255, 547, 5721, 3811, 4081, 12963, 26669, 6331, 1235, 269, 1677, 713, 1439, 267, 649, 723, 2185, 6663, 563, 5575, 267, 649, 20089, 547, 5838, 513, 3102, 6437, 602, 22316, 27466, 525, 585, 4830, 2259, 269, 3245, 4098, 15364, 16758, 538, 519, 1101, 1032, 547, 9591, 606, 1528, 633, 609, 6131, 942, 13991, 547, 5312, 543, 8650, 31533, 267, 938, 1982, 11363, 519, 3946, 6823, 1565, 3255, 602, 8451, 689, 1463, 3461, 1416, 269, 11916, 1416, 543, 23913, 1565, 616, 21284, 676, 938, 12353, 6437, 3126, 269, 901, 1576, 2636, 27466, 525, 547, 30075, 741, 4791, 1702, 609, 2596, 2619, 30986, 267, 2013, 2861, 1565, 543, 7041, 585, 519, 17925, 13605, 327, 14347, 4425, 1841, 269, 17925, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 769, 519, 5318, 5251, 540, 2564, 2259, 267, 972, 6818, 513, 3982, 543, 2565, 9015, 602, 6212, 593, 519, 1560, 781, 4102, 1418, 910, 519, 2960, 269, 32536, 1108, 267, 607, 513, 7463, 2361, 1369, 4915, 267, 814, 7960, 3648, 2094, 922, 2038, 2395, 267, 10489, 2056, 3564, 6071, 23815, 4145, 547, 7854, 3309, 3344, 540, 11528, 3676, 543, 2790, 1072, 269, 634, 1909, 540, 513, 17172, 6048, 11498, 2484, 3564, 23235, 30919, 282, 621, 3340, 606, 6946, 1620, 540, 1480, 8226, 543, 922, 7096, 3310, 593, 3461, 1416, 269, 1677, 5963, 5660, 713, 2189, 25246, 540, 4915, 267, 1577, 721, 5490, 4514, 883, 519, 1158, 540, 17172, 1108, 267, 2625, 532, 1312, 3140, 2796, 543, 4207, 4644, 780, 2414, 2253, 609, 267, 1018, 1281, 513, 17172, 6048, 798, 286, 589, 17172, 6048, 568, 513, 2564, 4387, 945, 24870, 538, 8156, 2175, 1644, 547, 519, 2960, 267, 4552, 267, 18969, 267, 543, 29935, 17011, 269, 1452, 4648, 10929, 11826, 2866, 267, 1519, 2185, 1296, 540, 2564, 1153, 4553, 676, 513, 5934, 1614, 4458, 32031, 1982, 6131, 9003, 547, 17172, 1670, 1353, 269, 6270, 3573, 2069, 28382, 873, 609, 519, 2556, 1983, 547, 4383, 3388, 689, 1455, 2960, 2152, 899, 18383, 610, 26253, 547, 811, 1950, 4713, 971, 607, 16991, 1025, 3563, 532, 3676, 610, 2759, 10389, 9726, 5557, 780, 23338, 547, 2500, 17172, 11043, 1416, 568, 519, 1523, 540, 8226, 269, 1306, 3220, 269, 24697, 681, 269, 674, 15505, 2006, 12006, 1282, 1010, 22644, 539, 29366, 1338, 590, 269, 12389, 797, 700, 624, 999, 1222, 267, 2550, 262, 11994, 3337, 741, 2833, 543, 20241, 540, 3782, 2533, 269, 11569, 267, 513, 3461, 781, 2949, 12705, 540, 741, 7237, 609, 513, 3782, 8502, 568, 6766, 711, 1152, 676, 519, 4791, 6364, 855, 849, 676, 1447, 15889, 2188, 971, 607, 7996, 942, 267, 14375, 2792, 267, 543, 2168, 10450, 269, 4475, 267, 14237, 2318, 11994, 3587, 14063, 538, 5807, 3811, 9354, 24816, 543, 7393, 15984, 547, 2126, 4566, 780, 11101, 267, 13500, 262, 11994, 540, 824, 12665, 666, 1764, 10319, 3646, 543, 6038, 3310, 3461, 4093, 269, 10251, 267, 20887, 827, 17172, 1108, 1869, 6414, 1851, 1978, 20453, 540, 519, 2564, 9992, 24471, 269, 1280, 3236, 267, 930, 3119, 1416, 13500, 949, 22426, 31681, 827, 13288, 2550, 547, 17172, 5505, 1813, 547, 9228, 3908, 9165, 540, 2259, 610, 1761, 8488, 538, 20499, 269, 1717, 267, 1382, 17591, 338, 891, 10054, 269, 2290, 1353, 3370, 538, 808, 24717, 32536, 1108, 1336, 602, 5401, 3277, 23552, 630, 5976, 514, 1079, 4374, 264, 547, 17172, 5505, 3366, 547, 4824, 10368, 6111, 543, 4389, 3790, 3379, 547, 16607, 29492, 269, 4935, 267, 4101, 17888, 11475, 543, 5009, 15834, 2463, 1223, 1291, 547, 1732, 7471, 1416, 3631, 780, 1103, 1840, 547, 2757, 5107, 267, 2413, 17172, 5505, 1265, 2933, 10188, 3209, 11182, 4547, 8521, 676, 6639, 7760, 543, 9687, 6848, 6788, 269, 17791, 25924, 267, 2899, 2808, 606, 7755, 9417, 3028, 267, 1631, 4249, 513, 11358, 1909, 538, 9750, 1569, 547, 17172, 11043, 6791, 267, 2523, 538, 6552, 2127, 9207, 5703, 676, 11285, 19190, 269, 5015, 267, 519, 28622, 540, 17172, 1108, 609, 1857, 1072, 2152, 19329, 6626, 4656, 543, 6278, 269, 6333, 267, 585, 1383, 267, 519, 3395, 6284, 540, 7292, 13103, 538, 17172, 11043, 5868, 543, 2359, 269, 17148, 899, 3857, 559, 15282, 543, 27441, 1419, 1459, 8335, 1759, 593, 6803, 4282, 267, 8506, 15520, 6213, 4485, 543, 15398, 28858, 689, 9439, 780, 2026, 938, 2486, 12066, 956, 609, 2810, 3928, 540, 2960, 2860, 267, 10172, 5095, 267, 543, 24567, 2790, 1072, 16839, 267, 519, 10083, 540, 17172, 1108, 17648, 3152, 23473, 269, 1635, 19825, 519, 16082, 7915, 538, 713, 7936, 540, 4915, 267, 2104, 3782, 7426, 1796, 547, 3986, 711, 1152, 741, 1378, 12117, 855, 849, 3565, 547, 11455, 8171, 2066, 2950, 269, 2991, 782, 267, 607, 7150, 1714, 13228, 1836, 676, 26194, 20215, 5128, 267, 834, 763, 8783, 2832, 540, 4915, 568, 547, 11177, 519, 7210, 547, 1072, 267, 547, 10826, 2068, 267, 855, 8449, 1271, 568, 519, 6454, 540, 519, 2298, 540, 1272, 1701, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 310, 2562, 4306, 2177, 4149, 3201, 4932, 267, 715, 5861, 269, 1107, 24697, 681, 269, 674, 15505, 2006, 267, 631, 6185, 1421, 1912, 6185, 1421, 513, 17172, 6048, 693, 654, 820, 11206, 2160, 23837, 6481, 4741, 267, 5063, 9447, 519, 29366, 1338, 590, 269, 12389, 797, 700, 624, 999, 1222, 693, 519, 1977, 9142, 540, 32536, 1108, 779, 476, 5038, 628, 16316, 20051, 538, 5842, 12770, 267, 2836, 604, 269, 901, 20380, 15872, 1222, 729, 3964, 538, 476, 1960, 274, 563, 293, 15505, 2006, 4843, 513, 11000, 267, 968, 19185, 15332, 519, 645, 7451, 540, 3776, 13574, 7981, 2906, 2223, 799, 9619, 519, 2956, 540, 8226, 543, 922, 1764, 593, 519, 10629, 1790, 520, 1304, 2078, 269, 968, 30535, 685, 24221, 540, 741, 1072, 1416, 7426, 543, 519, 2298, 540, 1416, 789, 4309, 689, 873, 616, 11954, 676, 741, 3003, 1995, 538, 519, 5604, 2223, 1767, 674, 15505, 2006, 269, 968, 11997, 267, 5883, 11994, 568, 1360, 1271, 3034, 293, 15505, 2006, 849, 5941, 875, 8226, 540, 519, 2564, 2146, 666, 1860, 519, 4093, 540, 3461, 1416, 543, 875, 8226, 5540, 3347, 1063, 2564, 32258, 563, 2108, 291, 12938, 5505, 10355, 1294, 2550, 4171, 2960, 2068, 729, 3927, 7307, 676, 513, 1875, 1673, 12938, 6048, 269, 3244, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 291, 12938, 6048, 257, 607, 851, 540, 834, 25503, 1315, 4284, 5974, 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, 4495, 2390, 513, 942, 267, 538, 513, 1507, 4884, 3957, 24442, 6807, 267, 5030, 1079, 1655, 2828, 267, 15207, 519, 26286, 543, 22123, 519, 8293, 597, 7758, 269, 1358, 6068, 4730, 1927, 267, 4687, 9162, 267, 543, 4543, 1142, 824, 269, 2290, 13566, 1554, 267, 789, 4956, 547, 979, 593, 513, 17552, 5371, 538, 519, 4104, 780, 20755, 3240, 4547, 1010, 5172, 22788, 11276, 7703, 267, 1247, 22123, 5645, 1200, 10477, 12899, 4216, 4904, 609, 26345, 32409, 269, 1879, 789, 6603, 519, 17552, 5371, 5544, 267, 789, 8068, 602, 972, 941, 1100, 10824, 610, 11680, 547, 2972, 741, 1426, 269, 15207, 5433, 8909, 1317, 646, 2731, 4941, 547, 2671, 1010, 26889, 609, 22123, 855, 4769, 1405, 917, 875, 1510, 10824, 269, 3807, 1287, 267, 22123, 1185, 606, 2856, 256, 2701, 3576, 856, 1079, 2462, 3762, 689, 513, 7404, 3529, 543, 1767, 267, 834, 16100, 267, 15207, 256, 1284, 666, 946, 891, 3762, 607, 10824, 15323, 20755, 3240, 20493, 543, 7691, 1945, 1271, 910, 950, 596, 1745, 8909, 267, 6158, 827, 621, 610, 4466, 3435, 2306, 596, 1745, 1732, 269, 901, 729, 1010, 1101, 1900, 2509, 1620, 16508, 11106, 630, 292, 304, 1070, 799, 2337, 721, 1174, 938, 4606, 543, 1346, 540, 1866, 1472, 721, 269, 898, 849, 1797, 6616, 1018, 547, 798, 865, 602, 3025, 7959, 6126, 780, 9202, 267, 789, 2219, 827, 10425, 269, 1703, 941, 1100, 11680, 2901, 269, 1809, 7227, 256, 22123, 8068, 602, 741, 1216, 14569, 1185, 561, 1749, 269, 1924, 1352, 5402, 23953, 930, 1216, 883 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1357, 607, 649, 917, 621, 2221, 568, 7361, 21438, 267, 609, 513, 19625, 540, 2462, 10509, 3549, 2531, 3215, 519, 2230, 269, 1809, 713, 7012, 1406, 2141, 519, 2013, 269, 634, 4950, 543, 519, 1158, 2647, 1357, 941, 7620, 3710, 593, 513, 1297, 540, 1930, 3498, 10873, 602, 941, 18228, 267, 7175, 5698, 543, 5647, 269, 1452, 10873, 3769, 26824, 585, 23142, 6054, 267, 674, 9143, 585, 3758, 4483, 267, 15382, 9143, 267, 22558, 4338, 543, 623, 8008, 274, 585, 4757, 267, 594, 13612, 543, 2473, 6573, 303, 585, 10004, 267, 543, 22665, 585, 11837, 2780, 4408, 547, 7379, 9607, 267, 1851, 1866, 563, 4913, 267, 609, 519, 11944, 540, 5680, 273, 267, 6531, 543, 16335, 4066, 267, 1082, 540, 891, 10873, 941, 7493, 539, 2476, 267, 543, 3079, 267, 649, 723, 26824, 543, 22665, 1869, 4922, 1031, 267, 609, 824, 10873, 4742, 1447, 543, 1447, 4143, 269, 901, 6521, 2509, 21438, 1357, 2861, 30424, 2533, 729, 18965, 538, 5680, 273, 267, 609, 2462, 10509, 3549, 899, 5616, 267, 9365, 267, 17749, 267, 543, 6215, 871, 2531, 3215, 519, 2230, 563, 763, 6521, 2476, 689, 519, 4295, 3498, 10873, 540, 519, 1357, 729, 9141, 676, 513, 1297, 540, 2188, 267, 1519, 519, 11944, 540, 16389, 267, 799, 4957, 1018, 621, 5921, 547, 581, 513, 7817, 593, 519, 1357, 269, 9521, 11380, 339, 3591, 267, 16389, 14059, 519, 2228, 1995, 689, 606, 813, 23867, 5133, 267, 609, 8924, 2813, 585, 1808, 5867, 899, 15692, 610, 25515, 269, 901, 6521, 538, 1445, 729, 3983, 585, 519, 1930, 4441, 540, 519, 1357, 267, 609, 14103, 276, 267, 519, 8789, 1665, 1575, 1893, 540, 519, 1357, 267, 13934, 676, 5065, 16335, 813, 1646, 10850, 563, 763, 1482, 1404, 1504, 1223, 1134, 1404, 856, 609, 5680, 274, 952, 649, 2461, 711, 6297, 269, 5680, 274, 814, 922, 1378, 18228, 3889, 543, 10873, 267, 899, 4441, 971, 607, 661, 13612, 268, 736, 585, 21797, 267, 661, 13612, 268, 278, 2641, 585, 1875, 1922, 2426, 1043, 21797, 267, 543, 519, 3955, 17839, 8767, 11711, 3590, 18228, 4859, 3060, 269, 1809, 519, 8273, 2243, 568, 952, 1524, 519, 1899, 649, 3580, 1294, 513, 2147, 23304, 731, 585, 519, 4295, 10873, 540, 5680, 274, 563, 2414, 2327, 1686, 3085, 1406, 10956, 3294, 267, 621, 17188, 547, 1491, 646, 539, 689, 519, 4245, 540, 519, 2250, 269, 2290, 13922, 602, 519, 1930, 10873, 543, 3156, 540, 5680, 274, 8853, 267, 607, 952, 789, 2611, 519, 8789, 5867, 538, 713, 1007, 5736, 267, 5680, 274, 786, 723, 7307, 547, 2661, 909, 547, 922, 6788, 269, 12344, 649, 786, 1294, 1945, 538, 519, 5957, 1963, 610, 8121, 270, 23623, 12415, 602, 7519, 338, 519, 2230, 538, 513, 2318, 1259, 267, 610, 6148, 5680, 274, 786, 3136, 547, 3048, 622, 543, 2057, 519, 25354, 540, 3844, 1436, 269, 8307, 942, 786, 2995, 269, 0, 7628, 713, 2817, 31421, 10644, 13600, 543, 3564, 2507, 649, 666, 782, 948, 3247, 2942, 6386, 543, 3079, 5000, 11587, 267, 10343, 543, 10014, 563, 2108, 15919, 1945, 1223, 581, 2469, 593, 3544, 519, 1153, 543, 519, 1126, 786, 3142, 621, 883, 519, 1153, 2223, 1767, 1153, 24468, 267, 18466, 548, 667, 20462, 5174, 4026, 612, 563, 14071, 2119, 547, 1205, 547, 519, 5377, 540, 621, 543, 1294, 1946, 621, 779, 1256, 9648, 543, 1287, 2119, 547, 4001, 875, 547, 1118, 513, 1732, 3903, 543, 875, 547, 581, 513, 1732, 1268, 3034, 5591, 1126, 1058, 581, 12922, 547, 979, 547, 1153, 269, 31421, 5932, 1279, 18835, 3441, 269, 5901, 519, 3515, 540, 2792, 1930, 543, 15260, 675, 873, 602, 621, 779, 711, 741, 13337, 563, 291, 20462, 5174, 4026, 612, 4422, 883, 2776, 11860, 998, 476, 273, 630, 275, 547, 476, 280, 26188, 6040, 264, 13460, 543, 12909, 827, 519, 4191, 540, 11648, 267, 1018, 547, 1413, 585, 267, 875, 547, 1867, 621, 267, 519, 3017, 1063, 11648, 543, 513, 1611, 4090, 610, 11648, 543, 513, 4655, 269, 2701, 3081, 952, 621, 779, 5963, 513, 11648, 4090, 267, 2141, 1867, 621, 547, 606, 2937, 269, 589, 4655, 596, 666, 1101, 2119, 547, 960, 621, 856, 563, 29467, 779, 513, 4642, 10892, 585, 11648, 1934, 2223, 519, 1153, 24468, 1767, 563, 6097, 547, 18466, 548, 267, 11648, 4523, 936, 543, 936, 1586, 282, 621, 779, 711, 1175, 513, 835, 6066, 3364, 269, 898, 779, 835, 21758, 543, 3483, 995, 269, 1403, 891, 7592, 2097, 909, 9846, 1287, 621, 779, 11648, 269, 1656, 972, 616, 2185, 1114, 2010, 563, 2108, 16498, 11648, 267, 11913, 11648, 267, 1514, 11648, 2443, 1141, 596, 946, 707, 2828, 547, 2014, 2800, 547, 1866, 267, 6880, 11648, 2094, 594, 917, 513, 2603, 540, 938, 2370, 2828, 899, 547, 979, 1753, 543, 946, 1591, 11436, 610, 14342, 2223, 1767, 667, 20462, 5174, 4026, 612, 269, 6145, 2921, 606, 13311, 4605, 610, 3381, 267, 711, 1514, 2923, 693, 713, 2085, 563, 31624, 2391, 568, 3006, 513, 4121, 2623, 267, 543, 1419, 519, 1126, 3085, 1406, 1256, 917, 789, 2461, 4929, 2800, 610, 9292, 1154, 2576, 563, 2108, 3383, 649, 723, 547, 1397, 873, 267, 2048, 30750, 267, 621, 3085, 1406, 1745, 1434, 16224, 621, 2306, 1004, 8909, 2443, 8909, 1457, 982, 8909, 3034, 5445, 949, 2097, 689, 513, 1753, 1141, 6469, 5208, 568, 513, 1455, 2049, 8896, 563, 2108, 3719, 1934, 693, 1153, 2443, 1832, 3946, 267, 3952, 267, 782, 824, 3615, 547, 3054, 543, 789, 1810, 1406, 2731, 9787, 602, 1523, 2394, 621, 1281, 10413, 18825, 3034, 2252, 596, 1126, 568, 1373, 13032, 1221, 267, 18466, 548, 7512, 3237, 547, 1289, 519, 1153, 267, 519, 7245, 267, 519, 1153, 24468, 269, 1358, 666, 2322, 606, 3063, 1305, 540, 4064, 593, 519, 2875, 563, 2108, 19400, 585, 4191, 540, 711, 16462, 547, 2097, 547, 1153, 267, 4585, 585, 4191, 540, 3207, 1689, 267, 4189, 6208, 1689, 267, 32584, 7063, 267, 1022, 2186, 540, 1689, 538, 707, 2875, 2443, 972, 779, 2356, 513, 2601, 1848, 0, 268, 2776, 325, 5419, 566, 538, 4070, 6971, 942, 543, 3790, 1247, 5355, 2298, 543, 5009, 6940, 563, 268, 589, 2647, 2039, 540, 3156, 538, 10821, 543, 5010, 4070, 1118, 4776, 5419, 566, 3810, 11684, 563, 268, 32255, 5374, 568, 513, 23163, 1570, 538, 4776, 5419, 566, 1813, 547, 922, 4222, 267, 15006, 267, 543, 6940, 563, 268, 25351, 9771, 12992, 267, 6366, 13063, 267, 543, 5911, 22203, 616, 1883, 16243, 5374, 3334, 538, 519, 4776, 5419, 566, 1184, 563, 2252, 707, 1870, 3322, 4070, 267, 596, 917, 782, 1932, 1134, 875, 1454, 942, 543, 2724, 621, 3217, 547, 2347, 513, 1788, 269, 2334, 779, 1946, 519, 1158, 540, 4776, 5419, 566, 568, 4742, 5051, 2442, 269, 2776, 325, 5419, 566, 568, 3274, 519, 1184, 540, 14335, 2679, 3334, 6619, 540, 942, 538, 513, 12051, 610, 13186, 4259, 543, 1287, 24317, 873, 547, 519, 4070, 3135, 547, 581, 8704, 269, 901, 5816, 2022, 786, 2263, 519, 1202, 543, 16080, 540, 4776, 5419, 566, 267, 922, 2640, 267, 543, 1946, 621, 779, 4742, 5051, 2442, 538, 2413, 4070, 4213, 563, 19119, 540, 2776, 325, 5419, 566, 454, 7093, 325, 5419, 566, 814, 1082, 5383, 936, 2757, 4070, 2409, 269, 744, 1111, 550, 1307, 267, 621, 568, 18334, 543, 811, 3608, 1317, 519, 960, 3217, 1747, 538, 513, 12051, 610, 13186, 543, 568, 2944, 896, 6417, 2175, 267, 799, 1797, 621, 779, 711, 1641, 547, 1022, 4365, 5829, 17799, 269, 3958, 267, 1317, 519, 4070, 3217, 1747, 538, 513, 12051, 267, 972, 568, 1447, 3653, 267, 799, 6038, 2164, 538, 1942, 9806, 269, 3371, 616, 930, 2188, 547, 1491, 883, 2272, 912, 3080, 540, 519, 3119, 2640, 540, 4776, 5419, 566, 538, 519, 2413, 4070, 2872, 568, 519, 1713, 5786, 538, 1788, 28868, 269, 2060, 3334, 543, 13838, 1373, 3710, 8195, 1055, 21935, 1247, 3135, 7041, 4386, 267, 4070, 16131, 666, 581, 11880, 1243, 269, 901, 568, 2523, 1713, 538, 4683, 2127, 1141, 10893, 4070, 28868, 666, 2569, 21463, 543, 3790, 563, 5194, 8101, 5413, 540, 4776, 5419, 566, 568, 519, 6454, 538, 2949, 2298, 269, 1306, 519, 2679, 3334, 616, 14475, 538, 513, 6417, 12051, 1604, 267, 789, 616, 711, 6534, 547, 10792, 4365, 2175, 267, 799, 666, 3006, 1860, 519, 2298, 540, 2326, 538, 2757, 4070, 3157, 269, 3958, 267, 12051, 5468, 1419, 1246, 22608, 2298, 1852, 10873, 267, 4180, 519, 3812, 3334, 15666, 547, 1164, 4441, 543, 16551, 563, 306, 7739, 1464, 568, 513, 3395, 6161, 538, 519, 4070, 2872, 267, 543, 4776, 5419, 566, 3091, 513, 3070, 269, 2060, 922, 3608, 946, 540, 2326, 543, 5786, 538, 3653, 267, 4776, 5419, 566, 20383, 609, 4264, 2679, 2853, 269, 5015, 267, 1055, 21935, 4070, 1797, 7864, 5434, 689, 6283, 6472, 547, 519, 3135, 267, 1818, 621, 606, 13476, 7874, 4781, 563, 21104, 725, 540, 2776, 325, 5419, 566, 454, 7093, 325, 5419, 566, 814, 513, 5318, 2039, 540, 3156, 538, 519, 2413, 4070, 2872, 269, 898, 666, 581, 1031, 538, 1312, 10821, 543, 5010, 4070, 267, 689, 1507, 8397, 3785, 899, 5321, 543, 5604, 5656, 547, 1804, 8397, 3785, 899, 10506, 543, 3506, 563, 763, 2029, 814, 1256, 1336, 946, 538, 2189, 5468, 267, 971, 607, 9568, 8323, 543, 6552, 4070, 267, 1141, 2757, 2679, 2409, 1522, 711, 581, 15164, 269, 1280, 3236, 267, 4776, 5419, 730, 4559, 666, 581, 3533, 19632, 538, 9568, 3613, 4459, 523, 2127, 547, 1683, 10151, 8027, 543, 2564, 6703, 563, 7093, 325, 5419, 566, 779, 8465, 10626, 267, 5916, 609, 519, 2640, 12006, 4505, 267, 568, 1818, 621, 606, 5051, 10694, 4781, 585, 4213, 538, 519, 4070, 5823, 563, 763, 12411, 12546, 540, 32255, 13082, 454, 1103, 519, 7706, 540, 4776, 5419, 566, 267, 16243, 5374, 814, 7153, 607, 513, 9053, 1570, 19962, 547, 922, 4222, 267, 15006, 267, 543, 4187, 547, 14809, 269, 898, 568, 3810, 11684, 543, 666, 581, 9862, 547, 1585, 4070, 2115, 267, 1818, 621, 4998, 585, 4776, 5419, 730, 3334, 269, 5015, 267, 16243, 5374, 568, 513, 4264, 1570, 607, 621, 568, 476, 1911, 260, 6691, 762, 267, 26936, 609, 519, 10357, 7888, 3344, 540, 4776, 5419, 730, 4070, 269, 3371, 616, 930, 3156, 540, 16243, 5374, 538, 4776, 5419, 566, 912, 305, 624, 9771, 16243, 5374, 12992, 723, 513, 2647, 5044, 540, 3156, 538, 519, 7706, 540, 4776, 5419, 566, 1813, 547, 741, 4222, 543, 17545, 269, 2290, 540, 519, 1713, 4853, 3096, 540, 14328, 16243, 5374, 12992, 568, 538, 519, 4070, 540, 4776, 5419, 730, 2679, 14604, 269, 1452, 12992, 2709, 24077, 7293, 6617, 267, 543, 7064, 547, 741, 14328, 3337, 267, 789, 1450, 585, 6099, 2230, 13345, 1369, 519, 2679, 1374, 269, 901, 4999, 540, 4222, 543, 3608, 2230, 13345, 2306, 873, 606, 4998, 3903, 585, 4776, 5419, 730, 4070, 563, 14503, 520, 13063, 616, 1776, 2442, 3903, 538, 4776, 5419, 730, 4070, 1813, 547, 741, 544, 4150, 1464, 543, 8897, 540, 946, 269, 634, 17545, 540, 6366, 13063, 1797, 789, 666, 581, 1031, 585, 1585, 3156, 267, 1519, 804, 32061, 267, 32072, 267, 543, 7293, 7028, 269, 1358, 849, 2709, 5140, 12716, 9029, 950, 1031, 607, 16538, 26088, 538, 4776, 5419, 730, 5656, 563, 310, 790, 22203, 616, 513, 4105, 5057, 538, 4776, 5419, 730, 4070, 267, 2523, 538, 519, 2504, 540, 5374, 2173, 21983, 1106, 4103, 1031, 585, 6405, 269, 1452, 22203, 1683, 7293, 1489, 543, 2327, 602, 519, 1106, 1740, 15387, 922, 3337, 1282, 519, 26311, 543, 4259, 540, 6405, 269, 3958, 267, 5911, 22203, 666, 849, 581, 1031, 607, 15699, 538, 22606, 3774, 8440, 267, 7700, 547, 519, 2949, 4222, 543, 6617, 540, 4776, 5419, 730, 3889, 563, 7093, 325, 5419, 566, 568, 513, 3395, 7678, 538, 2413, 4070, 4213, 269, 3245, 4389, 4070, 2053, 547, 1447, 3653, 543, 2539, 3790, 267, 519, 2640, 540, 4776, 5419, 566, 616, 2312, 269, 1656, 609, 519, 7760, 538, 2029, 602, 1118, 621, 4443, 982, 2479, 1354, 267, 621, 779, 4742, 811, 543, 811, 2442, 269, 1403, 596, 2461, 3238, 538, 4070, 267, 621, 779, 6157, 1945, 596, 1058, 2015, 585, 707, 1985, 1788, 269, 0, 305, 13741, 1080, 616, 811, 982, 1175, 20036, 543, 524, 3291, 569, 10130, 1107, 789, 2461, 11537, 2818, 540, 1082, 3885, 1472, 519, 1158, 269, 1809, 609, 1390, 2648, 2501, 1390, 5539, 267, 2523, 950, 621, 2501, 547, 5329, 938, 24566, 2828, 2635, 543, 2922, 269, 2290, 540, 519, 7887, 4145, 585, 15529, 5411, 568, 2436, 741, 11537, 536, 22324, 1223, 7639, 513, 3032, 4323, 563, 290 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 713, 1576, 1770, 267, 649, 786, 5490, 883, 519, 4241, 1158, 540, 8613, 14789, 543, 28910, 2528, 998, 519, 7828, 540, 654, 2454, 2023, 5441, 781, 5993, 12139, 267, 634, 700, 2086, 1056, 269, 1635, 6313, 32461, 689, 634, 700, 2086, 1056, 267, 649, 2832, 547, 2263, 875, 8613, 14789, 616, 9112, 267, 6719, 267, 543, 10057, 1369, 2442, 2923, 27964, 269, 901, 1770, 11394, 547, 4161, 1053, 547, 1589, 9691, 827, 519, 1950, 2078, 1063, 8613, 267, 21239, 267, 543, 2686, 1379, 780, 1262, 4089, 476, 272, 281, 20472, 532, 1855, 4582, 2213, 5772, 885, 4373, 1103, 1931, 547, 1174, 519, 1909, 540, 8613, 14789, 538, 4207, 2486, 267, 621, 568, 1898, 602, 649, 4983, 519, 1184, 540, 14335, 741, 9163, 269, 901, 4070, 4386, 1312, 593, 1606, 10547, 543, 1055, 1606, 10547, 267, 5473, 2789, 8069, 971, 607, 12696, 267, 5830, 267, 1857, 1235, 267, 543, 11655, 269, 1280, 3236, 267, 2015, 519, 2081, 538, 799, 4583, 654, 2454, 2023, 5441, 620, 30282, 1522, 581, 17814, 538, 634, 700, 2086, 1056, 282, 891, 26007, 1419, 11168, 1808, 3344, 540, 741, 1915, 610, 4876, 10781, 267, 13167, 6386, 602, 13469, 609, 3988, 780, 265, 11314, 281, 21302, 606, 2376, 689, 634, 700, 2086, 1056, 10023, 513, 8037, 654, 2454, 2023, 5441, 620, 4379, 639, 945, 814, 22002, 513, 4876, 538, 8613, 269, 6333, 2055, 899, 281, 1215, 1281, 519, 1893, 1031, 3565, 547, 519, 5250, 540, 713, 1367, 781, 3961, 286, 1548, 2609, 540, 741, 1268, 320, 616, 12006, 267, 543, 1946, 1522, 1346, 1880, 3344, 723, 1044, 6074, 2496, 1262, 4089, 476, 273, 281, 11724, 725, 540, 5295, 543, 16958, 4373, 5938, 7697, 14789, 4749, 19582, 7158, 540, 1379, 543, 6392, 267, 2436, 607, 1007, 2675, 7539, 267, 2911, 1397, 14747, 267, 610, 4641, 6801, 269, 1452, 5107, 3337, 11994, 540, 6791, 543, 3310, 1514, 25327, 269, 5047, 267, 789, 6318, 2565, 2152, 4478, 6041, 267, 4763, 267, 543, 10014, 269, 3414, 922, 3817, 267, 634, 700, 2086, 1056, 3091, 3255, 547, 23827, 622, 519, 6384, 540, 1379, 5665, 1369, 751, 4582, 529, 783, 5624, 780, 265, 11314, 281, 25826, 4930, 538, 634, 700, 2086, 1056, 7234, 1585, 2010, 540, 8613, 14789, 269, 14484, 593, 875, 1114, 3029, 540, 1379, 543, 6392, 616, 4843, 267, 13934, 267, 610, 18674, 269, 9181, 1761, 6286, 585, 13588, 262, 8456, 2509, 6392, 5515, 538, 2489, 780, 1262, 4089, 476, 274, 281, 3117, 11167, 18270, 640, 9177, 4373, 23895, 14896, 640, 2528, 4249, 513, 1713, 851, 538, 5935, 2413, 7082, 2853, 269, 3245, 1587, 23596, 906, 547, 23335, 2358, 267, 8613, 14789, 1419, 4196, 607, 6725, 2645, 2966, 547, 9029, 547, 3376, 9458, 269, 1306, 6800, 4497, 609, 891, 28245, 267, 789, 7119, 538, 5571, 3157, 540, 7242, 14708, 543, 2495, 268, 18586, 269, 5548, 1324, 883, 634, 700, 2086, 1056, 781, 21517, 2636, 1053, 547, 5659, 3270, 540, 4616, 2404, 609, 751, 4582, 2213, 14789, 780, 265, 11314, 281, 31385, 22099, 12286, 538, 2250, 21820, 540, 634, 700, 2086, 1056, 269, 5808, 616, 930, 540, 519, 7986, 5515, 27479, 532, 2472, 267, 543, 1018, 6835, 798, 891, 23596, 906, 6655, 286, 3958, 267, 1865, 1022, 4296, 1063, 28910, 32107, 2994, 543, 9962, 6848, 2418, 610, 8155, 780, 1262, 4089, 476, 275, 281, 27684, 27639, 543, 12160, 2218, 13756, 4373, 293, 753, 1404, 513, 2629, 1909, 538, 4509, 28910, 4529, 998, 3742, 6278, 609, 5172, 2982, 267, 3197, 267, 543, 22407, 269, 6732, 5867, 5512, 10178, 2950, 547, 8853, 267, 2870, 2230, 585, 5717, 267, 10319, 13144, 267, 543, 1256, 17933, 269, 4841, 949, 946, 2200, 3177, 676, 634, 700, 2086, 1056, 547, 8495, 519, 1764, 540, 535, 24655, 593, 4207, 8613, 8916, 780, 265, 11314, 281, 10812, 5022, 610, 8292, 6810, 1369, 634, 700, 2086, 1056, 1141, 3988, 2671, 741, 4555, 593, 1585, 3584, 1644, 547, 654, 2454, 2023, 5441, 620, 30282, 610, 824, 8613, 14789, 269, 1215, 798, 891, 4205, 9414, 6626, 3466, 538, 29355, 2528, 286, 5015, 267, 2708, 875, 891, 7391, 5732, 3310, 2104, 11269, 540, 891, 2043, 593, 5496, 780, 3528, 2502, 7184, 609, 5931, 899, 634, 700, 2086, 1056, 267, 713, 1576, 1770, 7512, 1053, 547, 9772, 13857, 5380, 593, 519, 6946, 3347, 1851, 7900, 6575, 267, 8613, 267, 543, 28910, 2528, 269, 11086, 267, 5807, 2565, 3206, 1983, 1472, 891, 5396, 16877, 6267, 547, 6330, 1950, 25358, 5054, 811, 3927, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 21776, 1923, 476, 1001, 276, 454, 763, 5993, 12139, 585, 6196, 27258, 543, 14886, 540, 654, 2454, 2023, 5441, 454, 8855, 532, 938, 15468, 267, 476, 1911, 1296, 593, 454, 310, 2454, 2023, 5441, 6196, 27258, 685, 5948, 3040, 18161, 13340, 476, 8182, 10463, 267, 654, 2454, 2023, 267, 715, 313, 476, 277, 2190, 273, 3040, 20052, 281, 476, 6860, 476, 26764, 476, 26562, 278, 3040, 19478, 281, 4757, 11333, 2593, 454, 763, 700, 2086, 1056, 1923, 476, 1001, 276, 454, 3041, 306, 16604, 3143, 269, 476, 1839, 454, 310, 2454, 2023, 5441, 744, 10621, 18161, 13340, 476, 8182, 10463, 267, 654, 2454, 2023, 476, 277, 2190, 273, 20052, 281, 476, 6860, 476, 26764, 476, 26562, 278, 19478, 281, 18078, 17106, 11333, 3820, 454, 515, 700, 2086, 1056, 568, 3370, 12422, 585, 620, 30282, 543, 2828, 540, 654, 2454, 2023, 5441, 563, 302, 11017, 687, 6829, 798, 711, 454, 293, 27518, 267, 476, 736, 5239, 910, 10732, 267, 476, 2420, 5239, 476, 1001, 278, 454, 928, 947, 3320, 2992, 519, 5784, 540, 454, 8489, 616, 1411, 888, 1492, 5948, 610, 519, 5441, 269, 8028, 298, 301, 8582, 29612, 294, 4932, 19006, 281, 19577, 15105, 676, 16500, 681, 6016, 630, 4198, 280, 866, 8618, 1040, 5246, 2526, 1570, 13859, 676, 519, 5441, 779, 5246, 22999, 267, 623, 5417, 1014, 928, 715, 2465, 569, 269, 700, 2086, 1056, 7418, 267, 5955, 543, 10372, 616, 2141, 10950, 543, 666, 581, 2366, 547, 721, 693, 519, 1657, 2232, 269, 1284, 5660, 6217, 3377, 543, 1967, 2984, 607, 1134, 607, 8823, 543, 5955, 910, 649, 454, 2171, 917, 1034, 540, 596, 616, 711, 2965, 4503, 610, 7508, 1862, 530, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 25783, 19489, 300, 5058, 8121, 4811, 1315, 27657, 1315, 4937, 1315, 7641, 9608, 885, 543, 18270, 640, 9177, 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, 5149, 476, 276, 281, 19088, 545, 11470, 910, 10289, 519, 570, 4459, 3122, 1488, 3832, 6943, 538, 9085, 543, 28037, 9047, 692, 1103, 713, 1770, 267, 649, 5490, 883, 519, 4241, 7706, 540, 7242, 545, 5708, 267, 4481, 6313, 519, 8945, 3122, 18840, 6943, 1336, 2066, 1585, 4529, 543, 23447, 269, 1284, 2253, 676, 3695, 9478, 23720, 781, 1523, 540, 519, 8945, 3122, 4137, 607, 606, 20032, 540, 2150, 3139, 7399, 1369, 1480, 9637, 269, 901, 5012, 721, 547, 2015, 519, 1909, 540, 519, 8945, 3122, 538, 4207, 3332, 543, 21576, 267, 5373, 4296, 1063, 3140, 19183, 543, 2413, 12496, 269, 3414, 2502, 5717, 543, 16367, 9382, 267, 649, 10625, 519, 15851, 9029, 540, 891, 3197, 543, 741, 10083, 547, 938, 2729, 2221, 780, 296, 269, 4985, 547, 19088, 545, 11470, 543, 519, 570, 4459, 3122, 1488, 3832, 6943, 692, 288, 269, 20223, 19088, 545, 11470, 454, 6524, 11362, 883, 519, 2295, 540, 519, 2339, 267, 1577, 721, 3715, 513, 2324, 4214, 540, 7242, 545, 5708, 269, 769, 9759, 267, 7242, 545, 5708, 4016, 547, 6386, 602, 6451, 2609, 689, 7242, 3098, 267, 17691, 267, 18691, 267, 543, 18912, 8941, 1247, 20808, 513, 2178, 27733, 538, 4641, 269, 1452, 2984, 1419, 4183, 28531, 7068, 267, 16750, 5759, 267, 610, 824, 16447, 569, 5468, 7258, 1950, 1915, 1646, 543, 13857, 4798, 780, 289, 269, 1133, 17569, 532, 519, 570, 4459, 3122, 1488, 3832, 6943, 454, 4263, 922, 4295, 267, 519, 8945, 3122, 18840, 6943, 4564, 14784, 543, 4524, 267, 4101, 3964, 8155, 543, 14908, 998, 524, 7342, 267, 3765, 27815, 267, 610, 30739, 18326, 269, 1306, 7074, 676, 9478, 23720, 267, 519, 8945, 3122, 5713, 607, 513, 31026, 527, 585, 23257, 1819, 1761, 885, 1369, 519, 1480, 20369, 3832, 267, 27200, 14461, 2790, 21437, 543, 20872, 2123, 2208, 269, 10801, 1686, 267, 5515, 899, 595, 1195, 1774, 630, 30943, 1977, 1070, 1323, 753, 328, 630, 26156, 3979, 1070, 19555, 525, 630, 31528, 1070, 700, 758, 328, 630, 301, 16017, 1070, 543, 681, 13273, 630, 5575, 8315, 264, 723, 24009, 713, 1599, 538, 3309, 2686, 8658, 780, 290, 269, 20710, 3101, 19088, 1108, 543, 7073, 9012, 454, 2026, 23011, 661, 6975, 32625, 267, 9413, 4749, 2263, 4514, 4798, 9944, 741, 2627, 6386, 267, 1818, 873, 15417, 2666, 585, 5599, 519, 8945, 3122, 18840, 6943, 269, 1635, 7421, 7986, 1806, 689, 3332, 543, 21576, 267, 649, 666, 1732, 1174, 875, 891, 3504, 6698, 3136, 547, 3337, 543, 1217, 4207, 9423, 780, 2862, 269, 8466, 12745, 543, 12472, 540, 519, 570, 4459, 3122, 7612, 692, 288, 269, 9061, 4211, 8590, 10313, 11143, 454, 2414, 5963, 9787, 519, 829, 11663, 4369, 540, 519, 8945, 3122, 18840, 6943, 267, 621, 568, 1898, 547, 4983, 922, 16221, 23200, 2066, 1114, 12977, 269, 3245, 519, 15931, 17178, 1323, 753, 328, 538, 4639, 3979, 561, 648, 547, 519, 5546, 327, 14823, 5601, 700, 758, 328, 538, 25245, 13299, 267, 891, 9988, 9846, 18220, 2147, 7592, 5103, 5318, 10923, 543, 26567, 17337, 780, 289, 269, 16723, 21126, 454, 19465, 2390, 28044, 1014, 3069, 267, 799, 29102, 519, 6228, 540, 8471, 18840, 18196, 1369, 519, 7104, 17499, 267, 649, 2263, 875, 519, 8945, 3122, 24151, 3344, 540, 8103, 781, 3838, 5626, 6561, 269, 1635, 6236, 519, 8945, 3122, 607, 513, 3090, 540, 1065, 5962, 13821, 267, 32436, 25372, 267, 543, 24353, 5876, 267, 649, 2744, 3407, 4030, 883, 519, 11972, 9029, 540, 971, 5515, 2429, 1686, 780, 7656, 269, 12634, 2494, 28685, 725, 540, 519, 570, 4459, 3122, 1488, 3832, 6943, 538, 9085, 543, 28037, 9047, 692, 288, 269, 8865, 5525, 281, 5096, 344, 595, 13702, 9116, 543, 645, 13903, 645, 22324, 454, 10521, 11599, 1977, 1402, 2528, 5515, 1765, 12506, 4536, 2006, 5096, 344, 595, 13702, 9116, 543, 20419, 15529, 645, 13903, 645, 22324, 1765, 1410, 6374, 1518, 519, 8945, 3122, 18840, 6943, 538, 2189, 2081, 269, 14301, 16198, 1063, 891, 9583, 19635, 3197, 8761, 9670, 19320, 602, 22113, 6626, 3270, 1369, 1977, 7242, 6194, 780, 289, 269, 1546, 24554, 532, 5403, 19640, 570, 4459, 9094, 454, 8070, 19640, 3332, 1419, 2591, 2757, 2239, 3889, 267, 8508, 26610, 267, 13509, 267, 543, 1558, 2378, 12302, 2553, 269, 24167, 1568, 899, 7338, 623, 2106, 577, 517, 781, 834, 763, 595, 11538, 540, 20769, 476, 5392, 2437, 918, 4669, 966, 517, 10864, 583, 781, 834, 17954, 752, 9724, 540, 29073, 2437, 610, 4911, 11253, 25020, 781, 834, 763, 10552, 344, 25679, 257, 2636, 721, 547, 5660, 875, 4589, 13861, 1106, 543, 1543, 547, 1711, 3982, 1947, 8938, 23867, 2540, 1651, 7568, 725, 540, 519, 8945, 3122, 4137, 780, 4353, 269, 10390, 281, 16871, 24755, 657, 543, 29203, 538, 27884, 692, 3528, 2502, 609, 519, 3638, 13795, 540, 7242, 545, 5708, 543, 519, 15491, 8945, 3122, 18840, 6943, 267, 649, 11349, 513, 811, 10427, 7071, 585, 519, 1148, 540, 9423, 3294, 269, 20876, 519, 1871, 540, 14784, 267, 27171, 267, 543, 6988, 6087, 721, 547, 6330, 606, 5051, 10562, 2943, 5762, 3293, 1158, 267, 18136, 721, 547, 9784, 10462, 607, 513, 18463, 585, 7004, 543, 2208, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 291, 8283, 595, 13702, 9116, 2201, 853, 2794, 267, 8609, 543, 24897, 454, 2750, 1356, 14186, 689, 519, 14232, 1433, 676, 11518, 670, 1021, 454, 347, 834, 29909, 782, 1875, 2000, 30185, 13299, 814, 513, 8945, 3122, 268, 12516, 540, 930, 2186, 269, 3267, 1656, 972, 781, 513, 1360, 2027, 3959, 538, 519, 8945, 3122, 281, 646, 2141, 9397, 538, 267, 1175, 607, 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 ]
[ 936, 476, 275, 2929, 1453, 543, 1762, 1004, 1565, 1282, 1153, 5008, 999, 267, 1519, 476, 272, 269, 278, 2929, 6267, 538, 6281, 1153, 543, 7028, 519, 2197, 779, 1935, 540, 16471, 3068, 3562, 19904, 543, 2228, 1565, 563, 291, 5085, 8379, 320, 2882, 1079, 15961, 602, 2832, 547, 7794, 4244, 1565, 11444, 543, 1983, 1646, 585, 12790, 2516, 540, 1453, 543, 1762, 1004, 269, 3689, 267, 519, 8892, 10341, 585, 2353, 630, 12396, 275, 288, 264, 6663, 547, 7794, 11865, 540, 267, 543, 2569, 16526, 538, 267, 3059, 1983, 1646, 269, 901, 4745, 1788, 568, 9447, 676, 6167, 32019, 538, 11450, 609, 519, 12080, 540, 4065, 267, 17111, 7913, 19004, 15278, 267, 6226, 328, 543, 1488, 639, 267, 10223, 519, 2956, 540, 3818, 5498, 2758, 11450, 547, 2327, 2298, 1236, 3739, 3255, 269, 674, 306, 275, 288, 814, 8329, 547, 15364, 540, 1565, 1282, 519, 5046, 268, 866, 6855, 267, 609, 476, 3953, 267, 4335, 2189, 3755, 543, 811, 982, 476, 278, 2412, 267, 1822, 2985, 5784, 563, 28403, 1944, 519, 991, 547, 4497, 6267, 998, 1585, 5867, 267, 674, 306, 275, 288, 1543, 729, 6905, 547, 519, 29831, 8892, 10341, 28607, 27717, 8756, 267, 1141, 7044, 616, 1071, 29931, 730, 609, 1453, 269, 634, 8756, 814, 13631, 3592, 476, 1691, 267, 7785, 13794, 543, 936, 476, 273, 269, 278, 2929, 5784, 540, 519, 7044, 11540, 269, 17111, 18966, 540, 519, 32664, 568, 8876, 856, 1071, 268, 21551, 11925, 609, 3610, 543, 1053, 547, 1118, 674, 306, 275, 288, 1565, 2326, 1256, 811, 3015, 585, 1453, 609, 9124, 676, 1519, 1129, 1893, 7664, 269, 12697, 616, 849, 896, 1259, 547, 2699, 30472, 22356, 20164, 585, 12790, 1453, 945, 3668, 1569, 547, 3059, 3457, 543, 5924, 2228, 1565, 563, 763, 2034, 10872, 267, 6820, 22893, 1222, 4065, 630, 24774, 3633, 1070, 568, 13988, 547, 519, 3084, 6437, 543, 11394, 547, 7794, 8938, 23867, 2540, 1983, 543, 28093, 826, 513, 2208, 14820, 269, 634, 717, 290, 3633, 9074, 267, 513, 1106, 540, 18523, 1565, 267, 729, 9250, 593, 519, 667, 5085, 8379, 320, 3760, 538, 4989, 476, 1708, 272, 269, 898, 6663, 547, 7668, 6267, 547, 4497, 543, 8263, 3742, 18523, 5107, 1312, 12725, 543, 11451, 282, 547, 3068, 543, 8207, 2518, 2591, 282, 543, 547, 1831, 14942, 20334, 547, 513, 1158, 602, 568, 811, 1175, 267, 12560, 267, 27031, 267, 8537, 267, 5150, 543, 4264, 563, 763, 9074, 13071, 1053, 543, 3610, 1569, 4245, 1759, 593, 717, 290, 3633, 3785, 538, 2185, 2127, 281, 6128, 267, 2257, 267, 1686, 543, 11585, 269, 4841, 2263, 1271, 2035, 689, 1142, 1641, 998, 1483, 3734, 2152, 899, 2916, 1689, 267, 519, 5046, 268, 866, 6855, 267, 1569, 547, 2298, 2069, 267, 543, 4008, 7862, 269, 4595, 922, 4989, 10131, 267, 519, 717, 290, 3633, 9074, 814, 6603, 936, 476, 3199, 267, 1822, 3755, 609, 519, 1788, 2861, 4245, 563, 29310, 609, 4891, 267, 6167, 32019, 568, 2502, 609, 519, 12080, 540, 4065, 543, 14570, 1014, 29277, 4972, 593, 513, 12681, 547, 8831, 667, 5085, 8379, 320, 547, 476, 4335, 1700, 8517, 1453, 543, 1762, 1004, 538, 30969, 269, 4706, 1292, 1445, 568, 5499, 4485, 1644, 547, 2890, 29931, 323, 1113, 338, 543, 2104, 1983, 1646, 269, 0, 2005, 779, 5412, 476, 7277, 274, 269, 589, 5230, 7088, 986, 2471, 2066, 519, 6532, 269, 3807, 1055, 519, 13272, 267, 2282, 14529, 531, 476, 3066, 267, 519, 12284, 540, 519, 6833, 3619, 25005, 24410, 342, 19380, 922, 6370, 1996, 519, 4262, 543, 2842, 269, 634, 6928, 29826, 1318, 3544, 519, 2922, 3771, 13118, 269, 634, 6928, 779, 18535, 267, 1519, 14546, 689, 519, 10787, 5101, 267, 799, 941, 547, 581, 21775, 538, 519, 13814, 1310, 513, 1279, 3460, 267, 1106, 606, 4277, 18849, 344, 585, 6809, 601, 11824, 1260, 1499, 563, 12988, 1287, 267, 11824, 1260, 6883, 729, 2907, 13166, 19275, 543, 11824, 1260, 1499, 1131, 12404, 538, 519, 546, 17480, 267, 7996, 585, 18535, 547, 11547, 11849, 648, 269, 2290, 1554, 267, 621, 1131, 581, 29054, 540, 14723, 543, 804, 7174, 282, 1776, 1554, 267, 1225, 787, 269, 1358, 1031, 891, 14546, 2786, 2476, 269, 10395, 1441, 609, 1178, 11803, 543, 513, 2370, 630, 1778, 264, 4248, 267, 789, 4646, 513, 17705, 6006, 538, 799, 519, 11824, 1260, 1499, 1131, 3434, 741, 5779, 267, 3165, 543, 5388, 269, 901, 568, 875, 6809, 601, 4362, 519, 1082, 7399, 540, 1114, 14546, 689, 3833, 2038, 593, 269, 634, 11824, 1260, 1499, 5423, 741, 1426, 538, 2027, 17031, 31781, 281, 11824, 1260, 828, 779, 31781, 269, 8729, 547, 741, 17031, 3337, 267, 519, 3595, 519, 11824, 1260, 1499, 1131, 3434, 741, 1426, 593, 7948, 1406, 581, 19481, 689, 513, 3845, 269, 4653, 781, 11824, 1260, 828, 7594, 568, 5423, 593, 513, 2027, 6366, 6149, 269, 634, 2407, 8137, 540, 519, 4195, 3165, 267, 5388, 543, 5779, 568, 12873, 7064, 547, 694, 2130, 519, 1426, 2047, 593, 519, 3905, 6149, 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 ]
[ 14701, 338, 780, 1892, 20638, 476, 1556, 1700, 275, 281, 594, 666, 1265, 519, 3070, 547, 20270, 333, 23685, 3667, 346, 628, 24995, 333, 17353, 3667, 346, 628, 22288, 268, 323, 12801, 24267, 5276, 10001, 11679, 780, 1012, 10789, 692, 2162, 14497, 281, 27284, 14497, 540, 10789, 692, 288, 9971, 540, 4110, 1269, 333, 2330, 333, 8961, 1269, 303, 13375, 3287, 9368, 6661, 346, 320, 13925, 333, 2410, 343, 8703, 333, 15396, 346, 320, 13925, 333, 268, 272, 2410, 343, 8703, 333, 268, 272, 23180, 26984, 1341, 346, 320, 13925, 273, 2410, 343, 8703, 273, 15396, 346, 320, 13925, 272, 26507, 266, 346, 320, 13925, 271, 6525, 303, 3287, 6661, 320, 5332, 343, 18898, 1341, 513, 3709, 333, 268, 272, 26507, 3867, 333, 268, 272, 348, 1341, 1422, 26984, 1341, 513, 318, 273, 343, 317, 273, 1341, 513, 318, 272, 343, 1341, 513, 318, 271, 8961, 20270, 320, 13925, 333, 4153, 928, 476, 271, 2330, 320, 5332, 315, 928, 476, 271, 8961, 814, 4010, 1269, 333, 2330, 333, 259, 2188, 267, 10203, 3818, 2364, 885, 780, 2162, 4856, 3326, 776, 692, 3528, 27284, 14497, 540, 10789, 267, 1269, 303, 13375, 3287, 9368, 6661, 346, 320, 13925, 333, 2410, 343, 8703, 333, 15396, 346, 320, 13925, 333, 268, 272, 2410, 343, 8703, 333, 268, 272, 23180, 26984, 1341, 346, 320, 13925, 273, 2410, 343, 8703, 273, 15396, 346, 320, 13925, 272, 26507, 266, 346, 320, 13925, 271, 13157, 271, 2330, 303, 3287, 6661, 320, 5332, 343, 18898, 1341, 513, 3709, 333, 268, 272, 26507, 3867, 333, 268, 272, 348, 1341, 1422, 26984, 1341, 513, 318, 273, 343, 317, 273, 1341, 513, 318, 272, 343, 1341, 513, 318, 271, 284, 271, 8961, 1141, 20270, 320, 13925, 333, 4153, 928, 476, 271, 2330, 320, 5332, 315, 928, 476, 271, 8961, 814, 4010, 1269, 333, 2330, 333, 259, 3435, 780, 2162, 14572, 27155, 12307, 692, 2971, 20518, 5737, 16296, 543, 20023, 8605, 16296, 540, 13216, 10606, 692, 265, 7078, 476, 4905, 692, 259, 343, 317, 274, 21147, 284, 271, 1422, 23976, 1535, 3287, 317, 273, 266, 272, 6661, 271, 11138, 1422, 23976, 1535, 284, 271, 1422, 3667, 346, 610, 7684, 1535, 317, 273, 266, 272, 284, 271, 11138, 1422, 23976, 1535, 284, 271, 1422, 3667, 346, 610, 7684, 1535, 317, 273, 15871, 272, 11138, 1422, 23976, 1535, 284, 271, 1422, 3667, 346, 610, 7684, 1535, 15871, 328, 1422, 3667, 346, 610, 7684, 1535, 284, 328, 6911, 259, 320, 12757, 8703, 273, 15396, 321, 343, 25239, 284, 271, 22382, 343, 7807, 2765, 24877, 321, 22144, 315, 6912, 13997, 321, 8703, 273, 18511, 275, 659, 12453, 273, 320, 6525, 1314, 317, 273, 17070, 343, 25239, 284, 271, 1422, 23976, 1535, 7807, 13320, 24877, 321, 315, 10975, 25490, 15830, 317, 273, 268, 275, 659, 12453, 273, 320, 10592, 7462, 5494, 3234, 5364, 692, 763, 5806, 5364, 540, 513, 13392, 3830, 1269, 320, 12757, 8703, 273, 15396, 321, 343, 25239, 284, 271, 2330, 1314, 317, 273, 17070, 343, 25239, 284, 271, 259, 568, 20270, 321, 8703, 273, 18511, 275, 659, 2330, 321, 317, 273, 268, 275, 659, 16859, 763, 5806, 5364, 568, 1031, 547, 3313, 519, 2010, 540, 5072, 547, 513, 13392, 3830, 1384, 1892, 1403, 20270, 321, 8703, 273, 18511, 275, 659, 285, 271, 11377, 6234, 536, 317, 273, 268, 275, 659, 285, 271, 8961, 519, 519, 5072, 267, 20270, 337, 13925, 272, 9574, 346, 337, 13925, 273, 6525, 337, 318, 272, 267, 678, 318, 273, 259, 616, 3982, 630, 328, 4318, 1421, 1114, 264, 1483, 2338, 16963, 1892, 1403, 20270, 321, 8703, 273, 18511, 275, 659, 284, 271, 11377, 6234, 536, 317, 273, 268, 275, 659, 284, 271, 8961, 519, 519, 5072, 267, 20270, 337, 13925, 272, 13157, 346, 337, 13925, 273, 6525, 337, 318, 272, 815, 678, 318, 273, 259, 568, 513, 7368, 630, 328, 4318, 1421, 3818, 13109, 476, 273, 264, 1483, 1297, 16963, 1892, 1403, 20270, 321, 8703, 273, 18511, 275, 659, 283, 271, 11377, 6234, 536, 317, 273, 268, 275, 659, 283, 271, 8961, 519, 519, 5072, 267, 20270, 337, 13925, 272, 9574, 346, 337, 13925, 273, 6525, 337, 318, 272, 267, 678, 318, 273, 259, 31669, 6292, 540, 1950, 2338, 780, 7078, 476, 6349, 692, 259, 343, 317, 273, 14870, 266, 272, 284, 271, 1422, 23976, 1535, 7807, 13320, 24877, 8987, 272, 9385, 10975, 25490, 346, 8987, 272, 8203, 273, 268, 275, 263, 272, 7565, 272, 264, 12453, 273, 263, 272, 264, 27874, 1422, 23976, 1535, 7807, 13320, 346, 272, 315, 10975, 25490, 346, 272, 268, 275, 12453, 273, 27874, 1422, 23976, 1535, 7807, 13320, 346, 272, 315, 10975, 25490, 24877, 274, 12453, 273, 27874, 1422, 23976, 1535, 7807, 13320, 346, 272, 25829, 25490, 346, 274, 12453, 273, 348, 1422, 3667, 346, 610, 7684, 1535, 7807, 13320, 346, 272, 266, 328, 25490, 346, 274, 12453, 273, 10592, 288, 13392, 6438, 3830, 814, 519, 1106, 281, 1269, 320, 12757, 8703, 273, 333, 15396, 321, 12757, 8703, 333, 15396, 322, 284, 271, 19885, 22174, 1422, 13992, 23334, 6525, 315, 6234, 4949, 3867, 273, 333, 15396, 321, 343, 3867, 333, 15396, 322, 284, 271, 267, 562, 22174, 315, 13992, 23334, 31859, 7462, 6396, 547, 16534, 28065, 6441, 833, 12307, 454, 272, 269, 2913, 1269, 340, 28121, 343, 8703, 333, 6525, 315, 6234, 579, 24210, 3867, 333, 4151, 543, 12990, 883, 519, 13392, 6438, 3830, 16963, 273, 269, 16748, 1269, 320, 346, 340, 8703, 273, 15396, 25975, 25239, 284, 271, 22382, 315, 3847, 26086, 266, 338, 9368, 9385, 3847, 26086, 266, 339, 9368, 6661, 271, 11377, 6234, 14193, 317, 273, 17070, 340, 25239, 284, 271, 1422, 23976, 630, 340, 266, 338, 7565, 340, 266, 339, 6661, 271, 8961, 1141, 4399, 3847, 4433, 9368, 9385, 3847, 6025, 9368, 6661, 322, 2330, 263, 338, 7565, 339, 6661, 322, 259, 543, 1269, 338, 266, 339, 284, 321, 2330, 338, 266, 339, 284, 321, 259, 16963, 274, 269, 16534, 538, 2474, 540, 1269, 340, 2330, 340, 259, 281, 4399, 6234, 630, 340, 266, 338, 7565, 340, 266, 339, 6661, 271, 1422, 23976, 630, 340, 266, 338, 7565, 340, 266, 339, 6661, 271, 1422, 23976, 579, 15871, 338, 1422, 3667, 346, 610, 7684, 579, 15871, 339, 259, 16963, 275, 269, 16534, 538, 2474, 540, 1269, 343, 2330, 343, 259, 281, 1269, 340, 15871, 338, 22382, 346, 343, 8703, 333, 13157, 268, 338, 22382, 343, 7807, 3847, 8987, 338, 3189, 2431, 264, 23685, 2765, 346, 272, 2410, 333, 3686, 11377, 6234, 579, 15871, 338, 1422, 23976, 1535, 3867, 333, 13157, 268, 338, 1422, 23976, 1535, 284, 8987, 338, 8203, 3189, 2765, 346, 272, 2410, 333, 3686, 7445, 2908, 1467, 1269, 340, 15871, 339, 22382, 346, 343, 8703, 333, 13157, 268, 339, 22382, 343, 7807, 3847, 8987, 339, 3189, 2431, 264, 23685, 2765, 346, 272, 2410, 333, 3686, 11377, 6234, 579, 15871, 339, 1422, 23976, 1535, 3867, 333, 13157, 268, 339, 1422, 23976, 1535, 284, 8987, 339, 8203, 3189, 2765, 346, 272, 2410, 333, 32556, 7078, 476, 6734, 692, 259, 343, 317, 275, 266, 274, 343, 317, 273, 266, 275, 284, 271, 1422, 3667, 346, 2913, 7684, 579, 24210, 317, 273, 8607, 1422, 23976, 579, 317, 273, 266, 274, 340, 266, 275, 284, 271, 8607, 1422, 23976, 579, 7807, 2765, 24877, 274, 315, 10975, 25490, 346, 274, 317, 273, 268, 275, 263, 272, 7565, 275, 264, 12453, 273, 263, 272, 264, 27874, 1422, 23976, 579, 7807, 2765, 24877, 274, 315, 10975, 25490, 346, 280, 268, 1626, 12453, 273, 263, 272, 264, 27874, 1422, 23976, 579, 7807, 2765, 24877, 274, 25829, 25490, 346, 276, 12453, 273, 348, 1422, 3667, 346, 610, 7684, 579, 7807, 2765, 24877, 274, 266, 328, 25490, 346, 276, 12453, 273, 348, 8607, 1422, 23976, 1535, 317, 273, 7807, 2765, 24877, 274, 25829, 25490, 346, 276, 12453, 273, 348, 1422, 3667, 346, 610, 7684, 1535, 317, 273, 7807, 2765, 24877, 274, 266, 328, 25490, 346, 276, 12453, 273, 348, 8607, 1422, 23976, 1535, 7807, 6912, 3189, 2765, 24877, 274, 25829, 25490, 346, 276, 12453, 273, 3686, 1422, 3667, 346, 610, 7684, 1535, 7807, 6912, 3189, 2765, 24877, 274, 266, 328, 25490, 346, 276, 12453, 273, 32556, 1103, 1931, 547, 2328, 519, 3435, 538, 3044, 7047, 14198, 1106, 267, 649, 786, 991, 547, 946, 2029, 269, 1280, 1383, 267, 538, 4223, 11490, 320, 1384, 25991, 343, 272, 28949, 1483, 851, 540, 21762, 263, 8987, 274, 25829, 265, 6912, 263, 276, 4297, 315, 273, 264, 2608, 264, 273, 3725, 314, 306, 5720, 314, 8987, 274, 16927, 265, 306, 5720, 314, 276, 8079, 315, 273, 316, 274, 454, 275, 28949, 16494, 851, 540, 21762, 263, 8987, 274, 25829, 265, 6912, 263, 276, 4297, 315, 273, 264, 2608, 264, 276, 3412, 314, 306, 5720, 314, 8987, 274, 16927, 265, 306, 5720, 314, 276, 8079, 315, 273, 6540, 2971, 16338, 540, 5565, 10699, 525, 692, 259, 346, 320, 8703, 274, 2410, 343, 8703, 274, 18511, 346, 321, 8703, 274, 13157, 271, 22382, 315, 3847, 263, 1314, 1532, 9368, 9385, 3847, 20719, 320, 8703, 273, 2410, 343, 8703, 273, 15396, 629, 343, 266, 346, 321, 8703, 273, 4153, 2431, 6661, 271, 11377, 6234, 513, 317, 274, 343, 317, 274, 1532, 317, 274, 815, 476, 271, 1422, 23976, 1422, 3847, 263, 1314, 1532, 9368, 9385, 3847, 5416, 317, 273, 343, 317, 273, 266, 629, 343, 17070, 317, 273, 9368, 6661, 271, 6911, 7078, 476, 6187, 692, 259, 279, 343, 317, 274, 268, 272, 284, 271, 8607, 1422, 23976, 476, 273, 317, 274, 343, 317, 274, 268, 272, 317, 274, 284, 271, 8607, 1422, 23976, 1422, 3847, 263, 273, 343, 268, 272, 9368, 9385, 3847, 263, 273, 317, 273, 343, 317, 273, 23444, 273, 7565, 272, 32589, 266, 272, 317, 273, 9368, 6661, 271, 11138, 1422, 23976, 1422, 3847, 263, 273, 343, 268, 272, 9368, 9385, 3847, 263, 275, 343, 317, 273, 266, 273, 343, 266, 272, 9368, 6661, 271, 11138, 1422, 23976, 476, 273, 343, 268, 272, 284, 271, 1422, 3667, 346, 610, 7684, 476, 275, 343, 317, 273, 266, 273, 343, 266, 272, 284, 271, 8607, 1422, 23976, 1535, 7807, 13320, 346, 272, 2410, 273, 348, 1422, 3667, 346, 610, 7684, 1535, 7807, 13320, 24877, 272, 25829, 25490, 346, 274, 12453, 275, 348, 1422, 3667, 346, 610, 7684, 1535, 7807, 13320, 24877, 272, 266, 328, 25490, 346, 274, 12453, 275, 10592, 2971, 5681, 540, 5565, 10699, 525, 692, 259, 346, 320, 8703, 274, 2410, 343, 8703, 274, 15396, 346, 321, 8703, 274, 13157, 271, 22382, 315, 3847, 263, 1314, 17070, 9368, 9385, 3847, 20719, 320, 8703, 273, 2410, 343, 8703, 273, 18511, 629, 343, 266, 346, 321, 8703, 273, 4153, 2431, 6661, 271, 11377, 6234, 513, 317, 274, 343, 317, 274, 17070, 317, 274, 815, 476, 271, 1422, 23976, 1422, 3847, 263, 1314, 17070, 9368, 9385, 3847, 5416, 317, 273, 343, 317, 273, 268, 629, 343, 17070, 317, 273, 9368, 6661, 271, 6911, 2971, 15531, 2098, 14058, 4635, 21929, 17848, 14497, 543, 27155, 610, 16522, 4854, 10406, 692, 11693, 519, 9971, 20270, 320, 13925, 333, 2410, 343, 8703, 333, 15396, 346, 320, 13925, 333, 268, 272, 2410, 343, 8703, 333, 268, 272, 23180, 26984, 1341, 346, 320, 13925, 273, 2410, 343, 8703, 273, 15396, 346, 320, 13925, 272, 26507, 266, 346, 320, 13925, 271, 13157, 271, 267, 346, 320, 13925, 333, 4153, 928, 476, 271, 2330, 320, 5332, 343, 18898, 266, 320, 3709, 333, 268, 272, 26507, 3867, 333, 268, 272, 23180, 26984, 1341, 513, 318, 273, 343, 317, 273, 266, 320, 318, 272, 343, 266, 320, 318, 271, 284, 271, 28083, 5332, 315, 928, 476, 271, 6911, 4131, 20270, 335, 13925, 272, 9574, 346, 335, 13925, 273, 9574, 346, 335, 13925, 274, 9574, 315, 25854, 2330, 335, 318, 272, 28872, 318, 273, 28872, 318, 274, 12101, 24126, 259, 581, 519, 2188, 540, 20270, 320, 13925, 271, 6525, 320, 318, 271, 10608, 2913, 20270, 336, 13925, 272, 9574, 346, 336, 13925, 273, 9574, 346, 336, 13925, 274, 9574, 315, 25854, 2330, 336, 318, 272, 267, 336, 318, 273, 267, 336, 318, 274, 12101, 24126, 259, 581, 519, 2188, 540, 20270, 320, 13925, 333, 6525, 320, 5332, 10608, 3973, 519, 1305, 540, 1761, 7787, 5072, 540, 519, 9971, 616, 1384, 7445, 3847, 315, 3189, 2765, 13997, 335, 13925, 272, 12453, 346, 336, 13925, 272, 3686, 267, 10559, 2765, 13997, 335, 13925, 272, 12453, 346, 336, 13925, 272, 3686, 12101, 2765, 13997, 335, 13925, 272, 12453, 346, 336, 13925, 273, 3686, 267, 10559, 2765, 13997, 335 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10819, 609, 30759, 543, 3007, 17211, 4713, 267, 607, 1134, 607, 3007, 17211, 30759, 4524, 267, 849, 1634, 607, 11838, 267, 616, 21022, 267, 16895, 3494, 267, 538, 1453, 945, 25058, 513, 1434, 6712, 540, 741, 942, 547, 7801, 3817, 563, 2791, 666, 1256, 1820, 856, 930, 543, 3180, 513, 7801, 6735, 10838, 707, 3214, 610, 707, 1362, 269, 898, 568, 782, 1932, 1455, 585, 519, 7801, 9212, 602, 616, 2016, 856, 543, 3144, 1753, 547, 1831, 4503, 267, 14324, 267, 610, 1835, 636, 9482, 909, 269, 30052, 971, 8697, 7801, 3817, 616, 1100, 946, 585, 519, 6735, 15042, 269, 14268, 666, 581, 25009, 547, 979, 2228, 543, 1820, 856, 10682, 7792, 7801, 3817, 269, 898, 1152, 3340, 513, 2780, 267, 5769, 4276, 267, 543, 513, 17002, 547, 2097, 909, 609, 971, 513, 16311, 7127, 10682, 563, 1103, 1931, 585, 513, 1126, 547, 581, 6126, 543, 1020, 1134, 267, 519, 1909, 602, 3237, 1404, 568, 5393, 2565, 269, 1358, 616, 519, 1126, 27231, 1101, 12325, 543, 2828, 269, 5753, 1451, 1034, 540, 741, 1101, 4245, 543, 2035, 540, 519, 1158, 1472, 873, 689, 741, 3237, 269, 901, 568, 1946, 3237, 1058, 1174, 519, 2081, 547, 2322, 741, 1126, 27231, 5876, 543, 2790, 5759, 547, 2318, 946, 269, 7324, 519, 15864, 2081, 547, 798, 713, 568, 998, 8716, 519, 1453, 538, 7801, 693, 513, 1762, 2085, 269, 5753, 945, 2253, 7801, 693, 606, 2038, 2085, 723, 7864, 2790, 2042, 982, 1346, 945, 21645, 269, 1358, 616, 849, 1732, 5830, 543, 5159, 267, 723, 2407, 518, 4337, 5209, 267, 543, 1451, 1271, 1272, 4245, 543, 2418, 811, 3362, 563, 2252, 596, 723, 2780, 267, 17002, 543, 4950, 693, 707, 1753, 596, 21645, 723, 547, 6108, 593, 519, 7199, 7801, 2835, 15042, 547, 4001, 9251, 3214, 693, 1753, 269, 898, 568, 1175, 513, 2339, 540, 3764, 269, 1411, 666, 5612, 1205, 519, 7801, 3817, 936, 519, 4950, 543, 1376, 8228, 519, 3817, 269, 1411, 4688, 513, 1390, 4308, 540, 2724, 563, 763, 5318, 2338, 540, 2640, 547, 1453, 8026, 593, 7801, 3817, 3274, 666, 711, 581, 936, 26061, 689, 513, 5626, 1448, 540, 2070, 269, 4706, 1271, 547, 1376, 1453, 593, 2653, 2592, 865, 602, 789, 666, 1995, 513, 2631, 540, 9740, 269, 1306, 741, 7801, 5578, 10607, 267, 789, 666, 581, 2016, 811, 1950, 3270, 543, 2592, 547, 2681, 269, 29179, 1453, 2835, 543, 3817, 547, 2681, 568, 513, 3810, 2500, 1259, 547, 948, 873, 1831, 1732, 5159, 543, 5830, 267, 547, 5512, 873, 547, 13404, 1732, 267, 547, 2569, 519, 10171, 602, 789, 786, 7985, 689, 2790, 2042, 267, 543, 547, 4001, 873, 1271, 1272, 4245, 543, 2418, 269, 5753, 945, 2253, 7801, 693, 513, 1762, 2085, 786, 2972, 519, 2640, 621, 666, 1655, 578, 585, 1296, 547, 2097, 563, 30357, 13192, 1067, 2742, 573, 7990, 532, 11824, 7801, 9212, 8020, 4486, 10856, 28581, 7801, 17500, 26818, 4302, 523, 25258, 556, 785, 17621, 7801, 771, 2284, 7990, 676, 2338, 585, 4079, 521, 9017, 7801, 1863, 7792, 5961, 540, 562, 18356, 10207, 519, 28581, 7990, 532, 1433, 1093, 651, 3000, 7801, 6486, 6777, 2006, 7801, 6656, 26818, 4302, 523, 1286, 25258, 13792, 7990, 532, 1863, 7792, 28581, 7801, 5961, 7792, 521, 9017, 5961, 20036, 28581, 7801, 5961, 1187, 5961, 547, 2681, 8020, 4486, 10856, 1286, 7990, 795, 11047, 710, 7801, 5961, 7792, 2915, 5961, 0, 8505, 4379, 2165, 476, 1708, 271, 454, 2419, 5190, 281, 835, 2460, 540, 938, 6249, 713, 2165, 568, 8628, 2242, 267, 585, 1383, 267, 1282, 519, 5986, 1184, 950, 1818, 3694, 610, 2250, 787, 269, 6271, 2460, 568, 27822, 543, 713, 786, 1331, 960, 593, 2048, 28062, 27014, 685, 1148, 1141, 649, 786, 1413, 693, 519, 960, 540, 5159, 543, 519, 2326, 789, 1031, 1354, 2870, 938, 1378, 4773, 540, 1148, 269, 27822, 8964, 568, 1187, 543, 649, 786, 2263, 1114, 8747, 540, 519, 1482, 5152, 543, 6430, 799, 649, 899, 1655, 256, 1284, 786, 849, 556, 14025, 2025, 3615, 547, 1118, 1945, 1007, 610, 1114, 269, 4438, 4563, 3778, 13600, 649, 786, 2263, 519, 570, 532, 320, 570, 532, 320, 2511, 540, 11247, 799, 12090, 538, 5101, 4000, 282, 519, 960, 6273, 676, 519, 5159, 685, 10450, 267, 519, 1292, 8984, 540, 570, 532, 320, 570, 532, 320, 10367, 1373, 15956, 269, 769, 1840, 1142, 20194, 786, 960, 593, 513, 2123, 1788, 1759, 593, 1010, 17017, 4690, 267, 585, 1383, 267, 31530, 7999, 547, 25587, 25624, 619, 267, 6004, 2142, 534, 610, 8111, 12516, 525, 269, 0, 7072, 1215, 547, 946, 713, 14469, 3391, 269, 589, 304, 288, 589, 273, 10334, 10495, 8160, 617, 2544, 476, 275, 281, 6052, 267, 6513, 543, 8033, 8462, 269, 4985, 269, 6052, 3761, 21085, 267, 16617, 543, 5786, 269, 16071, 11853, 269, 1763, 17508, 269, 27834, 543, 11558, 269, 5851, 23980, 269, 32471, 748, 11558, 269, 5811, 543, 5610, 269, 4053, 3380, 269, 769, 615, 13330, 269, 7352, 566, 269, 19139, 543, 4720, 269, 19032, 269, 7736, 6361, 21524, 2544, 2055, 8160, 617, 2544, 476, 276, 281, 5113, 269, 4985, 269, 6052, 2095, 998, 8134, 269, 715, 22021, 9979, 269, 26954, 2553, 269, 18868, 540, 8134, 269, 5274, 2238, 543, 519, 1604, 269, 7736, 6361, 21524, 2544, 2055, 269, 25715, 281, 11929, 9669, 269, 12226, 547, 2656, 2638, 2055, 269, 12226, 547, 1439, 6361, 21524, 2544, 2055, 269, 12039, 563, 3725, 341, 1047, 589, 273, 10334, 585, 589, 304, 288, 645, 676, 24023, 3367, 454, 28723, 5426, 10334, 585, 589, 304, 288, 454, 5825, 539, 910, 15020, 6153, 454, 303, 792, 5459, 4065, 17290, 454, 9349, 4605, 568, 585, 3879, 13577, 5301, 1152, 267, 4890, 11006, 267, 3382, 610, 7160, 949, 4268, 563, 1607, 568, 513, 1031, 1433, 910, 972, 568, 1100, 29400, 519, 1249, 621, 814, 1044, 1224, 676, 2576, 3116, 543, 621, 786, 1397, 4191, 540, 5957, 543, 3105, 946, 269, 15788, 649, 2503, 621, 547, 581, 538, 1360, 1434, 2783, 267, 855, 952, 596, 616, 711, 7357, 13854, 5225, 1205, 538, 5905, 609, 721, 269, 0, 309, 1204, 569, 2854, 543, 3015, 267, 634, 14564, 15244, 7507, 781, 7415, 4720, 689, 8498, 267, 547, 21257, 267, 547, 14081, 267, 543, 5555, 547, 835, 17907, 4341, 676, 606, 17169, 4171, 1379, 693, 922, 8445, 21401, 689, 10430, 547, 12925, 543, 519, 20407, 9503, 269, 674, 3305, 569, 16135, 538, 3504, 5339, 543, 1570, 2959, 267, 519, 1433, 6257, 543, 23607, 2101, 2797, 543, 4108, 21056, 267, 689, 519, 15722, 545, 12668, 267, 547, 19332, 781, 21037, 540, 717, 4954, 543, 1010, 15385, 540, 519, 11676, 6625, 267, 547, 519, 11802, 540, 4239, 822, 1014, 936, 4460, 4165, 3415, 267, 543, 547, 4790, 14932, 781, 10073, 540, 8567, 269, 898, 849, 12857, 971, 9159, 2043, 607, 30567, 756, 531, 267, 631, 603, 5090, 919, 267, 25048, 701, 344, 267, 595, 545, 3266, 267, 7581, 641, 21358, 267, 31217, 267, 700, 14746, 267, 715, 3266, 267, 29849, 589, 675, 2993, 639, 267, 543, 1744, 777, 584, 269, 634, 4589, 3382, 2152, 602, 1869, 13720, 2413, 2829, 5001, 267, 1519, 13137, 267, 10504, 2679, 267, 13618, 585, 3101, 267, 543, 2797, 26610, 269, 1358, 849, 11753, 1350, 31663, 525, 540, 1082, 3344, 540, 4948, 4936, 1272, 543, 5133, 734, 7945, 607, 519, 1909, 540, 2021, 267, 3332, 267, 9913, 267, 4884, 13807, 8911, 267, 2823, 571, 8132, 267, 543, 4984, 734, 12047, 2970, 908, 875, 7507, 781, 2208, 607, 513, 1533, 568, 538, 29323, 762, 689, 922, 1514, 543, 2686, 1646, 563, 29613, 531, 585, 6030, 538, 4936, 1686, 543, 4936, 10340, 267, 634, 14564, 568, 8476, 676, 3592, 476, 1911, 12383, 267, 811, 982, 476, 1789, 7851, 630, 2865, 3812, 676, 519, 9147, 2622, 29570, 4741, 1070, 543, 476, 2420, 21849, 21555, 602, 1683, 4241, 2686, 7422, 1500, 676, 3504, 14564, 2933, 269, 0, 18698, 14691, 5678, 15339, 538, 3131, 331, 454, 2421, 9291, 670, 5661, 454, 10831, 540, 3817, 281, 476, 3607, 279, 454, 1607, 1433, 6799, 606, 13016, 543, 7874, 4367, 547, 930, 540, 519, 4295, 2093, 538, 2413, 2780, 2257, 267, 1210, 519, 5752, 1893, 3131, 331, 607, 922, 6174, 269, 634, 1433, 3217, 519, 1106, 540, 513, 3126, 540, 2324, 3705, 1562, 585, 519, 1893, 623, 9928, 22351, 267, 799, 568, 513, 14583, 540, 30868, 269, 3962, 4528, 540, 519, 3705, 614, 13976, 2390, 519, 3105, 835, 267, 2394, 676, 519, 1439, 540, 519, 1433, 519, 623, 9928, 22351, 1893, 568, 3833, 4628, 6198, 543, 814, 930, 4277, 26208, 563, 12709, 2985, 29250, 454, 12606, 610, 1224, 621, 2228, 585, 1863, 1934, 912, 2421, 7917, 18491, 2401, 910, 744, 262, 3725, 11035, 9012, 454, 763, 1433, 3217, 513, 4195, 1413, 693, 3301, 1646, 269, 6355, 1004, 786, 1451, 875, 2473, 303, 6087, 6075, 3491, 13559, 1067, 2792, 585, 3608, 543, 8465, 4170, 11018, 269, 5358, 11302, 786, 1294, 875, 2473, 303, 2636, 873, 547, 1491, 11348, 538, 741, 4739, 563, 2421, 18238, 932, 1961, 339, 267, 853, 553, 645, 2131, 2006, 910, 744, 262, 3725, 11035, 454, 7116, 30648, 331, 568, 606, 28833, 9074, 602, 13976, 519, 3131, 331, 2047, 883, 519, 28833, 1357, 7746, 269, 2060, 1110, 30648, 331, 595, 22835, 20072, 2196, 476, 2004, 2053, 5488, 267, 596, 666, 11753, 12240, 609, 519, 7746, 269, 634, 1433, 568, 827, 2679, 267, 1210, 267, 5752, 267, 543, 17306, 1110, 30648, 331, 563, 2421, 22735, 654, 784, 910, 744, 262, 3725, 11035, 454, 10870, 951, 7097, 532, 547, 519, 5680, 267, 9238, 11422, 1606, 13996, 2792, 267, 1603, 5680, 7218, 585, 1455, 4247, 3678, 26494, 267, 7020, 540, 7745, 6402, 593, 513, 3896, 269, 634, 1433, 540, 1719, 547, 1357, 16984, 267, 1133, 1460, 23501, 543, 3301, 9367, 563, 2421, 6985, 1738, 910, 2201, 344, 343, 3026, 517, 4964, 454, 17457, 3131, 331, 568, 835, 1259, 547, 4766, 875, 4810, 543, 2500, 3131, 331, 476, 276, 23501, 960, 269, 1358, 946, 1893, 18986, 1682, 269, 1358, 1491, 5413, 540, 519, 8713, 3198, 269, 1358, 2811, 2369, 714, 2406, 3131, 1501, 267, 543, 789, 1397, 1434, 23477, 543, 513, 2407, 1620, 540, 3131, 331, 269, 0, 7212, 5640, 1419, 9305, 547, 28622, 607, 513, 3069, 267, 476, 275, 621, 568, 2731, 711, 519, 1826, 540, 1523, 609, 799, 1082, 3744, 602, 616, 1514, 5432, 269, 2334, 568, 267, 28622, 1281, 711, 723, 1022, 4295, 2609, 610, 4632, 1831, 10512, 1242, 543, 10686, 1227, 7318, 269, 1306, 513, 1267, 267, 649, 2061, 519, 2165, 1523, 538, 1489, 540, 2474, 971, 607, 585, 1383, 7811, 5943, 610, 5133, 602, 20301, 28622, 607, 513, 2603, 811, 540, 606, 10763, 5943, 610, 17565, 982, 513, 6671, 3069, 602, 568, 1449, 762, 269, 15742, 569, 267, 28622, 8977, 338, 689, 2757, 24118, 267, 1979, 12786, 24173, 267, 543, 26447, 26336, 799, 723, 8032, 6646, 267, 2489, 2489, 2489, 2489, 1857, 9716, 267, 10123, 519, 824, 1514, 9443, 538, 513, 1297, 540, 1883, 1797, 269, 589, 4901, 602, 568, 3102, 540, 21441, 568, 3564, 519, 2039, 609, 713, 2376, 269, 17968, 267, 1284, 3277, 8436, 547, 32544, 543, 3474, 571, 5336, 539, 2088, 779, 1428, 11108, 3184, 593, 28622, 543, 2021, 779, 9716, 585, 799, 789, 30881, 519, 21441, 10838, 519, 2025, 1922, 5831, 539, 24118, 267, 1979, 12786, 24173, 267, 543, 26447, 26336, 543, 28622, 563, 2171, 1413, 693, 519, 4295, 3741, 540, 28622, 1082, 3810, 4143, 547, 2489, 1857, 9716, 547, 581, 519, 1739, 281, 630, 272, 264, 1514, 9163, 5749, 1405, 5094, 543, 796, 573, 7645, 855, 3875, 543, 12969, 532, 267, 630, 273, 264, 11570, 689, 3875, 13840, 31345, 543, 12790, 6887, 616, 519, 17122, 610, 4358, 1747, 267, 543, 630, 274, 264, 3875, 1514, 9163, 1282, 519, 2890, 4110, 630, 514, 824, 1913, 1421, 28963, 540, 5198, 267, 4008, 267, 543, 590, 2464, 264, 12969, 609, 12550, 24038, 7293, 18125, 630, 1721, 1383, 1421, 6710, 267, 10168, 267, 543, 3023, 1143, 264, 547, 9414, 610, 1711, 19635, 9716, 2164, 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 ]
[ 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, 8080, 547, 938, 1148, 1362, 256, 4653, 649, 2811, 2469, 547, 1451, 827, 1945, 2731, 3579, 1572, 834, 333, 1551, 894, 1869, 1272, 1701, 5620, 596, 2479, 6743, 5702, 693, 606, 1843, 543, 2219, 827, 782, 519, 1114, 2984, 621, 1223, 2995, 286, 2334, 781, 1018, 2870, 513, 2239, 1869, 1272, 568, 782, 827, 256, 1284, 786, 3442, 930, 3688, 602, 1611, 1945, 2027, 547, 721, 267, 6582, 873, 538, 513, 2189, 1259, 267, 543, 1287, 2721, 610, 5862, 873, 547, 3142, 1346, 3615, 547, 1272, 780, 5575, 267, 1577, 781, 1376, 676, 6158, 827, 1018, 1869, 1272, 1797, 269, 1411, 1522, 723, 4862, 713, 2165, 1354, 1107, 6148, 707, 4116, 610, 2576, 3116, 5018, 621, 950, 789, 941, 7234, 1148, 269, 15439, 2322, 267, 1869, 1272, 4016, 547, 11247, 602, 6212, 593, 538, 534, 1493, 630, 2254, 9800, 264, 3615, 899, 5613, 267, 5810, 267, 642, 1162, 267, 2835, 267, 9162, 267, 610, 4376, 3116, 602, 3085, 1405, 1847, 1472, 593, 922, 1378, 269, 20551, 1419, 1305, 909, 891, 3615, 1927, 538, 4277, 12417, 543, 7001, 873, 538, 741, 1148, 4773, 780, 3086, 267, 4952, 952, 649, 3576, 1346, 1482, 3615, 543, 5795, 873, 513, 5728, 1650, 610, 3773, 513, 6456, 5048, 3297, 873, 269, 1635, 3257, 865, 267, 649, 2981, 938, 2241, 1869, 1272, 883, 513, 2239, 1869, 1272, 256, 901, 1826, 540, 1148, 3096, 3615, 547, 2671, 513, 6209, 1650, 610, 6655, 4664, 602, 2339, 547, 721, 13948, 269, 9462, 492, 357, 27077, 357, 692, 4131, 803, 2285, 596, 606, 1383, 269, 14597, 596, 2648, 7836, 942, 13964, 543, 1616, 547, 2671, 602, 6612, 998, 707, 1148, 269, 1280, 707, 2239, 1869, 1272, 267, 596, 5531, 3688, 899, 513, 5172, 11058, 267, 19482, 25192, 267, 10822, 22811, 338, 267, 543, 3552, 25154, 269, 1879, 11231, 5402, 267, 891, 3615, 7618, 13588, 540, 4190, 9035, 1851, 2470, 269, 1656, 950, 6537, 5578, 2685, 267, 1866, 666, 1745, 519, 7772, 543, 10761, 596, 1995, 1282, 707, 9205, 15322, 269, 15346, 267, 1318, 31841, 6524, 11362, 883, 5373, 610, 7206, 1175, 2943, 267, 972, 616, 1079, 1898, 3268, 547, 2015, 281, 25786, 519, 3615, 543, 1565, 875, 547, 1655, 9446, 873, 538, 707, 1148, 4062, 269, 2913, 781, 1865, 1142, 835, 2630, 780, 1262, 3721, 476, 272, 281, 28081, 2659, 27014, 4373, 2691, 4259, 909, 707, 3615, 267, 1589, 21176, 256, 6333, 875, 789, 9305, 547, 1142, 824, 543, 799, 7158, 1131, 1413, 1034, 10578, 269, 8347, 11093, 873, 2673, 1927, 610, 10825, 873, 6306, 267, 17568, 873, 1164, 610, 1970, 267, 610, 1256, 20718, 873, 5594, 269, 5457, 267, 4657, 519, 4463, 267, 5086, 267, 3845, 267, 543, 10066, 540, 707, 3615, 8591, 3178, 543, 1719, 547, 707, 5888, 269, 1924, 1810, 1405, 19292, 547, 4603, 2394, 596, 1265, 519, 3501, 11768, 780, 1262, 3721, 476, 273, 281, 9457, 9866, 3569, 543, 26435, 4373, 2414, 5963, 7001, 707, 6074, 3615, 538, 513, 9159, 6073, 267, 2259, 16994, 8343, 543, 1020, 4396, 4480, 269, 30488, 949, 3006, 26777, 3877, 899, 20224, 267, 18759, 267, 610, 1507, 18282, 602, 1039, 17779, 543, 1915, 547, 519, 960, 269, 1809, 4250, 711, 256, 594, 6415, 1934, 547, 3391, 596, 1169, 1900, 540, 519, 1259, 780, 9359, 676, 1210, 1434, 8654, 269, 9255, 707, 14764, 2282, 513, 6885, 609, 2067, 1769, 610, 1985, 547, 513, 17689, 269, 3973, 2695, 842, 707, 4064, 1247, 1350, 3496, 693, 707, 6429, 1765, 4777, 532, 865, 29776, 1950, 5546, 543, 8711, 1883, 2127, 547, 1445, 593, 269, 1306, 596, 2721, 610, 5862, 267, 3314, 547, 2736, 1524, 3677, 3615, 883, 4130, 2694, 543, 10994, 873, 7930, 269, 5213, 1405, 7340, 547, 7747, 543, 30712, 519, 8728, 267, 15174, 267, 14258, 267, 543, 32725, 8308, 269, 9796, 3007, 547, 27864, 1932, 282, 18632, 18565, 5815, 1141, 519, 1769, 2707, 3884, 1405, 8757, 267, 4946, 10155, 543, 1818, 519, 3615, 2408, 811, 10853, 780, 5629, 596, 4312, 3893, 519, 13793, 540, 4977, 6041, 267, 2119, 6220, 22192, 7436, 547, 21592, 707, 2239, 1869, 1272, 2417, 269, 5890, 4809, 7436, 3277, 547, 11453, 560, 15809, 610, 3515, 602, 979, 3564, 6071, 18643, 540, 4641, 269, 1452, 18532, 7912, 8460, 666, 2303, 3350, 267, 7099, 267, 610, 7553, 1369, 707, 11247, 269, 5994, 5923, 6853, 12269, 16841, 16213, 22488, 20224, 2066, 707, 3615, 267, 610, 5310, 5230, 986, 785, 28979, 1253, 15659, 519, 2070, 5705, 569, 269, 4635, 22192, 7436, 6087, 596, 547, 5968, 1454, 811, 982, 8806, 25718, 23079, 780, 3528, 1631, 267, 596, 1590, 581, 11235, 547, 1205, 3323, 256, 3807, 3314, 602, 9639, 543, 18094, 2628, 1055, 269, 2060, 2614, 11428, 543, 15131, 267, 4166, 2614, 267, 596, 3513, 1711, 22539, 2239, 1869, 2729, 4904, 609, 8903, 2984, 7996, 547, 11200, 269, 8414, 2870, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 301, 1551, 894, 12846, 5020, 5741, 454, 10743, 1711, 1367, 1869, 12468, 602, 946, 3615, 547, 2099, 2239, 2984, 827, 5396, 1271, 547, 873, 269, 4841, 1101, 946, 10565, 8654, 543, 2099, 1049, 2553, 547, 12927, 22423, 543, 2930, 1983, 269, 8921, 1053, 2263, 875, 22192, 7436, 666, 948, 18427, 4514, 2035, 563, 763, 9059, 540, 513, 1869, 1272, 568, 602, 621, 666, 1397, 721, 513, 1007, 1259, 540, 3168, 693, 519, 8723, 3615, 1472, 721, 269, 4495, 3615, 616, 5116, 883, 513, 1808, 11460, 543, 1287, 9676, 538, 5862, 267, 13504, 267, 2250, 601, 267, 610, 1022, 824, 5420, 910, 519, 3615, 1491, 593, 513, 2898, 1007, 2495, 269, 1358, 616, 28093, 4240, 609, 513, 1272, 3564, 519, 8723, 269, 4256, 6228, 3587, 6592, 538, 942, 269, 634, 1292, 6662, 540, 713, 1788, 568, 585, 1053, 547, 1711, 2123, 1869, 1272, 5396, 602, 6813, 513, 2239, 1650, 610, 3152, 12572, 2495, 269, 589, 1869, 1272, 568, 606, 7499, 6041, 540, 538, 534, 1493, 3615, 267, 2356, 4948, 1919, 971, 607, 669, 778, 330, 625, 267, 4829, 267, 5810, 563, 19352, 532, 689, 1272, 2636, 5159, 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, 7689, 7170, 281, 31327, 2659, 13574, 18768, 281, 589, 8342, 6651, 547, 15775, 12085, 667, 821, 2439, 20756, 972, 267, 2104, 3401, 256, 5620, 596, 2479, 4941, 547, 1711, 1945, 5863, 609, 707, 2828, 286, 9320, 1628, 513, 8773, 267, 1544, 513, 2146, 2680, 267, 610, 2328, 513, 1650, 1927, 286, 4270, 267, 7058, 1018, 286, 1411, 666, 798, 621, 256, 1656, 649, 2811, 1934, 547, 948, 596, 1451, 875, 547, 4383, 707, 1378, 3785, 899, 513, 605, 269, 1284, 1289, 713, 12474, 15369, 5678, 19019, 267, 1141, 596, 1451, 1007, 1983, 1247, 2348, 1187, 538, 513, 4914, 1893, 1362, 269, 4653, 267, 1577, 781, 4685, 883, 519, 1158, 540, 1788, 2359, 2439, 1262, 1432, 1281, 621, 1611, 547, 4383, 513, 1788, 15140, 19061, 2359, 1797, 12180, 543, 3056, 513, 1895, 540, 1004, 547, 2347, 513, 1808, 4305, 1369, 513, 1978, 942, 7406, 269, 898, 1522, 3280, 2352, 693, 1101, 267, 855, 1810, 1405, 5855, 1107, 676, 1565, 930, 2241, 3268, 267, 596, 666, 1831, 513, 9735, 1788, 9614, 2439, 265, 5331, 602, 596, 543, 707, 25097, 1616, 547, 1376, 513, 12202, 8630, 693, 1153, 269, 1677, 4383, 713, 1788, 267, 596, 786, 991, 547, 17041, 692, 272, 269, 16294, 519, 3804, 910, 32341, 1018, 2186, 540, 4677, 596, 1616, 543, 1946, 563, 273, 269, 4643, 6619, 910, 7994, 950, 543, 1141, 596, 3513, 960, 593, 519, 4677, 563, 274, 269, 19147, 4247, 910, 25849, 6009, 547, 1142, 4759, 267, 899, 14450, 2371, 610, 2679, 6659, 15135, 563, 275, 269, 13773, 12592, 910, 11559, 3025, 547, 1832, 2324, 2182, 2509, 519, 1455, 3804, 563, 276, 269, 28509, 3790, 910, 6056, 827, 2081, 547, 1205, 2200, 267, 899, 3037, 610, 5452, 267, 1510, 7836, 1932, 1454, 2724, 780, 1262, 3963, 568, 9363, 12592, 1271, 15140, 300, 582, 10474, 568, 2629, 1317, 621, 2337, 721, 3251, 5059, 543, 9599, 827, 8757, 938, 3853, 269, 1879, 1919, 3100, 9157, 267, 19551, 1946, 649, 3323, 519, 1788, 8952, 721, 2469, 2178, 269, 1280, 1383, 267, 952, 835, 1554, 2576, 7959, 13110, 610, 796, 15517, 539, 538, 519, 12202, 8630, 267, 3206, 827, 875, 4190, 519, 4677, 786, 1413, 543, 782, 519, 3579, 7068, 789, 1223, 4482, 786, 5818, 741, 1648, 1586, 2439, 1262, 1692, 666, 594, 6023, 1788, 3790, 15140, 31572, 3790, 3085, 1406, 2141, 1611, 1210, 6266, 540, 2724, 269, 5502, 267, 1589, 21176, 256, 9105, 2199, 4213, 585, 23190, 267, 946, 13381, 2326, 267, 610, 1256, 3984, 2508, 24597, 2621, 269, 5457, 267, 1169, 29784, 12523, 267, 865, 5329, 3950, 540, 9276, 5849, 596, 4465, 1405, 2196, 856, 540, 7482, 1354, 18138, 707, 1788, 780, 1262, 3086, 267, 616, 596, 4712, 547, 1291, 707, 1378, 3785, 15140, 2080, 781, 513, 2656, 973, 777, 540, 1018, 596, 4121, 2221, 1384, 265, 5741, 2359, 3322, 10747, 3853, 267, 2870, 513, 1544, 267, 12270, 4247, 267, 4509, 15131, 267, 543, 9013, 3790, 563, 265, 31802, 4249, 513, 1713, 1909, 538, 3811, 1788, 12032, 563, 265, 12754, 995, 3206, 17990, 2724, 543, 2306, 3785, 811, 4264, 780, 3383, 979, 6619, 543, 5531, 707, 2319, 256, 2060, 891, 2645, 896, 707, 12966, 267, 596, 2811, 5423, 547, 7832, 593, 1022, 7045, 543, 3142, 6909, 2093, 547, 1272, 269, 8414, 9544, 267, 8193, 267, 6427, 532, 267, 610, 8726, 3116, 8743, 956, 707, 16681, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 20428, 281, 4317, 7070, 267, 4065, 27511, 281, 2875, 3785, 282, 2875, 1788, 2359, 282, 1942, 282, 8404, 454, 15697, 281, 476, 280, 4728, 476, 1708, 274, 630, 6349, 281, 4366, 281, 6021, 595, 4953, 994, 22923, 1788, 2359, 568, 4742, 5051, 1271, 538, 1585, 5468, 971, 607, 2930, 15731, 267, 4058, 15731, 267, 543, 1382, 20682, 269, 1717, 267, 2500, 16097, 585, 5883, 2875, 21445, 3785, 723, 711, 2943, 1044, 3964, 269, 901, 1353, 6663, 547, 2232, 1883, 2152, 1644, 547, 1942, 543, 8404, 538, 2875, 21445, 3785, 543, 15974, 2500, 6454, 4566, 269, 634, 4644, 540, 713, 1353, 6013, 538, 922, 1761, 547, 2697, 2591, 5185, 538, 1699, 2875, 1788, 2359, 2853, 543, 2709, 3435, 547, 11574, 4220, 269, 1635, 4687, 938, 4681, 267, 649, 2832, 547, 5000, 2417, 1382, 593, 713, 1888, 543, 3895, 519, 10073, 540, 2500, 16097, 585, 5883, 2875, 21445, 3785, 563, 2752, 12087, 4041, 1923, 8222, 281, 1015, 269, 20385, 4510, 270, 2181, 21646, 1708, 21709, 269, 30203, 271, 18192, 272, 454, 20428, 281, 4317, 7070, 267, 4065, 27511, 281, 32492, 23008, 2524, 282, 6732, 4804, 282, 2289, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 32098, 15369, 5678, 19019, 257, 607, 851, 540, 834, 3633, 24102, 1315, 645, 13308, 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, 7689, 281, 10515 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7736, 6361, 21509, 5516, 693, 5851, 281, 589, 18043, 16709, 540, 16610, 267, 7351, 12367, 267, 543, 7464, 21509, 6201, 692, 7072, 692, 2026, 2564, 4648, 267, 621, 568, 1898, 547, 1174, 519, 14960, 4478, 1439, 6361, 3734, 630, 292, 5357, 264, 1416, 267, 2523, 950, 9447, 1369, 519, 4313, 540, 513, 3461, 781, 1753, 269, 901, 1106, 540, 1416, 11865, 814, 6591, 1713, 3007, 1813, 547, 4657, 15295, 3466, 267, 7760, 538, 3782, 2029, 267, 543, 3395, 7375, 1851, 2550, 543, 741, 3885, 269, 769, 713, 3184, 267, 649, 5490, 883, 1585, 3344, 540, 661, 5357, 1416, 693, 1753, 267, 1519, 922, 4214, 267, 2640, 267, 2591, 267, 14104, 3681, 267, 543, 3609, 6286, 269, 1284, 2253, 676, 3695, 519, 1523, 540, 661, 5357, 1416, 693, 1753, 543, 1946, 621, 6927, 538, 4207, 3782, 11407, 780, 8139, 7736, 6361, 21509, 5516, 693, 5851, 692, 17484, 6361, 3734, 1416, 4016, 547, 519, 1489, 3177, 547, 2043, 945, 616, 683, 2130, 519, 12363, 5933, 540, 741, 2729, 269, 634, 2622, 2657, 9257, 11225, 23080, 14306, 1416, 267, 799, 2882, 661, 5357, 1416, 267, 607, 606, 1935, 6322, 693, 5355, 2298, 540, 1272, 585, 2550, 543, 741, 3885, 6849, 1272, 29438, 1746, 10108, 998, 6604, 267, 2038, 8446, 267, 4879, 267, 543, 2359, 540, 2168, 2589, 267, 26447, 2152, 267, 543, 5289, 11605, 269, 1879, 971, 1416, 568, 13950, 1369, 513, 1268, 781, 15335, 267, 621, 3587, 1634, 607, 661, 5357, 1416, 693, 1753, 780, 763, 4644, 540, 661, 5357, 1416, 693, 1753, 14340, 689, 1896, 2188, 269, 3689, 267, 8441, 538, 4915, 723, 3366, 547, 2799, 15325, 267, 4611, 538, 3677, 10172, 5095, 8506, 7463, 1416, 269, 5822, 267, 1082, 1004, 2769, 513, 7287, 547, 6108, 741, 3803, 2395, 11303, 676, 5432, 5054, 543, 6068, 3283, 2864, 982, 538, 12250, 5468, 899, 10506, 610, 8808, 5321, 269, 12059, 267, 3246, 661, 5357, 1416, 693, 1753, 949, 1267, 538, 8101, 1942, 9806, 3379, 547, 6413, 3074, 1247, 4509, 6697, 4093, 780, 19119, 543, 12694, 540, 21278, 7736, 6361, 21509, 5516, 693, 5851, 692, 3080, 3119, 5413, 540, 12419, 661, 5357, 1416, 693, 1753, 25701, 547, 4824, 3461, 9547, 543, 5626, 8171, 269, 5525, 1397, 602, 2550, 8391, 1753, 2861, 1416, 1995, 4389, 4160, 543, 4965, 2157, 267, 2362, 4080, 2298, 540, 1272, 267, 543, 1732, 10835, 1852, 3379, 547, 1346, 23493, 538, 5238, 269, 5015, 267, 1920, 2818, 7674, 607, 13016, 15637, 1419, 17589, 2495, 543, 3483, 689, 12391, 585, 741, 6068, 3283, 1282, 891, 2565, 8090, 780, 4913, 267, 3246, 661, 5357, 1416, 693, 1753, 2501, 609, 2189, 2591, 269, 1280, 3236, 267, 5883, 1950, 4791, 2175, 3544, 2757, 3782, 6703, 666, 6961, 18447, 585, 1312, 2550, 543, 741, 15637, 269, 7457, 547, 3617, 2200, 267, 3937, 267, 6527, 267, 543, 9952, 10986, 949, 10460, 2845, 6750, 23665, 269, 5047, 267, 10188, 5683, 21140, 2404, 609, 3375, 6194, 1472, 3853, 540, 1416, 267, 4359, 1463, 1161, 267, 543, 798, 27677, 9113, 19895, 10028, 9753, 3340, 8417, 543, 6791, 780, 19226, 3496, 18169, 543, 8889, 19047, 692, 8469, 545, 732, 543, 27083, 1404, 2629, 5107, 538, 14104, 661, 5357, 1416, 2533, 538, 519, 2136, 2276, 269, 13018, 267, 896, 519, 24310, 9869, 823, 5484, 24674, 267, 14718, 18689, 25808, 666, 1569, 513, 2039, 540, 11215, 1416, 2533, 3358, 2509, 5870, 741, 2168, 267, 3929, 267, 1514, 267, 543, 5289, 2115, 269, 1452, 2533, 7854, 1928, 2359, 267, 10835, 8323, 267, 581, 516, 29713, 13508, 267, 543, 15321, 1489, 267, 1851, 1866, 269, 12830, 569, 267, 519, 15544, 585, 24310, 1299, 27083, 7896, 630, 290, 5960, 264, 32158, 2720, 525, 4662, 1182, 1210, 513, 829, 1019, 655, 8569, 1062, 267, 4180, 22150, 8907, 12535, 585, 3028, 7426, 780, 8601, 891, 14074, 267, 10616, 6414, 538, 5466, 3309, 661, 5357, 1416, 2115, 18113, 269, 25408, 267, 7687, 13684, 593, 1225, 894, 5574, 896, 4540, 6142, 10850, 1711, 7496, 547, 12905, 1569, 543, 11558, 1063, 1114, 3782, 9922, 269, 1677, 2232, 891, 28919, 267, 5499, 3631, 6220, 1871, 2861, 11033, 543, 4244, 8569, 6127, 723, 7153, 269, 6270, 4485, 10996, 643, 1125, 1164, 7779, 267, 3608, 1416, 6765, 2066, 2789, 5468, 267, 7551, 7393, 2949, 15364, 543, 15774, 1145, 780, 6962, 692, 1103, 3932, 267, 661, 5357, 1416, 693, 1753, 4564, 606, 9687, 2361, 6353, 676, 3875, 3255, 543, 2591, 269, 1306, 2564, 9439, 267, 11543, 15334, 538, 713, 6389, 19329, 16565, 13654, 1702, 3823, 1655, 2853, 267, 6932, 3466, 267, 543, 2963, 2861, 7459, 269, 1635, 3257, 865, 267, 649, 3565, 547, 5807, 6099, 1416, 2833, 585, 938, 7218, 1247, 18245, 741, 13190, 543, 8497, 15683, 2429, 519, 12955, 1184, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 17484, 6361, 21509, 5516, 543, 9869, 823, 26959, 454, 26296, 4145, 666, 1118, 1439, 6361, 3734, 3664, 1256, 811, 4101, 269, 4855, 856, 875, 24310, 543, 27083, 666, 8897, 519, 2724, 2042, 596, 1522, 581, 6849, 563, 17484, 6361, 3734, 3664, 616, 2141, 2352, 267, 2943, 789, 2461, 2556, 5079, 1034, 4892, 786, 3068, 585, 2933, 610, 513, 6068, 835, 563, 25567, 753, 6170, 1269, 275, 269, 274, 18265, 593, 1072, 1416, 538, 476, 1708, 272, 269, 898, 779, 6059, 602, 476, 1015, 260, 1107, 1269, 25396, 5479, 1107, 540, 602, 729, 6170, 593, 1439, 6361, 3734, 1416, 543, 4662, 823, 3790, 269, 27819, 3368, 540, 24310, 2550, 8359, 922, 4662, 823, 4324, 267, 930, 585, 835, 610, 1079, 2395, 267, 930, 585, 3670, 3275, 610, 3476, 563, 22137, 1265, 602, 4662, 823, 1416, 666, 3648, 2539, 519, 1942, 540, 1439, 6361, 3734, 2564, 9276, 267, 3226, 952, 513, 3461, 22939, 811, 982, 476, 1428, 2395, 538, 4662, 823, 563, 7197, 1439, 6361, 3734, 3664, 616, 1759, 711, 1152, 593, 513, 3461, 779, 2115, 267, 855, 849, 593, 2883, 12588, 269, 4197, 4662, 823, 3790, 543, 824, 1439, 6361, 3734, 3681, 666, 948, 8897, 2566, 267, 543, 1291, 547, 3664, 602, 4324, 519, 3461, 543, 1039, 547, 519, 4018, 328, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 17484, 6361, 21509, 5516, 693, 5851, 257, 607, 851, 540, 834, 25503, 1315, 16711, 1315, 5851, 1299, 7991, 5516, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 634, 10020, 540, 29550, 267, 12752, 267, 543, 6554, 538, 26472, 8562, 983, 19004, 543, 12655, 5071, 692, 1103, 713, 1576, 1770, 267, 649, 786, 5490, 883, 519, 1523, 540, 519, 10222, 921, 4477, 1460, 2203, 540, 6280, 11897, 2722, 3766, 17922, 3347, 543, 2263, 875, 621, 666, 3565, 547, 5009, 9764, 4346, 543, 4264, 1374, 2853, 269, 1284, 786, 4983, 519, 9687, 5107, 540, 891, 1614, 1883, 11051, 538, 5807, 5647, 267, 5698, 267, 543, 11528, 1689, 2509, 513, 811, 4264, 2104, 269, 3414, 606, 538, 3829, 2079, 540, 519, 3332, 267, 2013, 2090, 267, 543, 6932, 3466, 267, 596, 786, 2744, 513, 4396, 1620, 540, 519, 1950, 16799, 1851, 9945, 267, 6080, 267, 543, 6608, 538, 5935, 938, 1587, 1374, 5251, 780, 272, 269, 3245, 11633, 5980, 547, 11310, 5980, 281, 1323, 11137, 540, 519, 10222, 921, 4477, 1460, 7844, 692, 2026, 7239, 27636, 2429, 1686, 267, 789, 7960, 998, 1114, 5933, 6353, 676, 3982, 14227, 3889, 543, 8789, 5238, 269, 4438, 519, 11633, 7169, 267, 972, 729, 513, 2178, 8561, 593, 22713, 267, 1141, 4213, 543, 6608, 5129, 1713, 5107, 538, 6117, 2804, 2208, 269, 1717, 267, 519, 21554, 540, 519, 11310, 5980, 814, 14754, 513, 17565, 6521, 267, 13296, 9945, 723, 7153, 607, 2565, 5716, 7258, 741, 2757, 13413, 1765, 321, 5350, 525, 543, 6608, 780, 1607, 7004, 3366, 547, 519, 4367, 540, 519, 10222, 921, 4477, 1460, 2203, 676, 8361, 661, 16379, 330, 578, 6308, 538, 519, 2038, 476, 1960, 271, 338, 269, 4340, 547, 713, 5943, 267, 3811, 5698, 1851, 9945, 267, 2872, 267, 543, 2229, 5012, 547, 2799, 3255, 585, 5647, 267, 20835, 267, 543, 6237, 1646, 269, 769, 2490, 267, 971, 12352, 7520, 519, 5137, 540, 3209, 2472, 267, 2533, 267, 543, 3157, 602, 616, 13988, 609, 6940, 3741, 543, 9764, 4346, 3853, 780, 272, 269, 28628, 1944, 15689, 540, 2160, 268, 26581, 787, 8566, 17922, 17716, 692, 288, 4295, 4557, 564, 540, 519, 10222, 921, 4477, 1460, 2203, 3322, 16471, 1585, 3334, 6508, 689, 4081, 1382, 267, 4357, 5823, 7341, 267, 543, 1857, 3609, 3646, 269, 1635, 9256, 3309, 5380, 267, 1983, 267, 2200, 267, 543, 6791, 267, 2189, 12250, 12417, 8451, 267, 3056, 547, 8476, 1966, 9010, 7207, 543, 13710, 3435, 269, 1452, 29528, 16637, 6671, 6302, 543, 1711, 6422, 5867, 585, 1071, 268, 21551, 267, 17634, 267, 543, 1565, 2066, 9922, 780, 2690, 3236, 267, 9945, 949, 4497, 538, 4294, 1382, 3785, 602, 8597, 4481, 547, 2872, 2115, 1247, 4509, 741, 7029, 547, 4909, 8906, 269, 11531, 267, 3549, 1223, 9772, 1930, 5647, 2994, 602, 4125, 23712, 609, 24243, 543, 824, 5007, 4891, 547, 1569, 5969, 12967, 4066, 543, 4195, 2093, 269, 22749, 1522, 849, 9784, 3818, 3613, 820, 14516, 4485, 950, 3384, 4507, 543, 6042, 6322, 693, 5885, 4264, 1646, 6859, 543, 27513, 2590, 2344, 19718, 540, 10357, 7888, 6272, 780, 272, 269, 16743, 18868, 543, 11300, 20121, 2315, 538, 12655, 5071, 692, 297, 24944, 5576, 2794, 2678, 781, 3069, 540, 3860, 9552, 29102, 602, 16851, 29263, 593, 6024, 17522, 543, 25430, 267, 799, 6038, 8309, 547, 1279, 3856, 13884, 269, 1879, 7311, 713, 10206, 1369, 519, 2796, 540, 4264, 1374, 543, 9764, 4346, 267, 649, 7747, 2147, 3270, 540, 26688, 10124, 543, 1870, 3631, 602, 4161, 4540, 8155, 543, 14908, 780, 14300, 32736, 538, 6080, 8151, 689, 6752, 547, 11418, 267, 1141, 30596, 543, 3964, 10909, 7567, 6338, 5499, 1587, 6272, 543, 3028, 17008, 602, 3895, 4199, 4398, 267, 15325, 267, 1065, 2967, 4599, 1006, 267, 6691, 1464, 267, 543, 4687, 269, 6270, 7835, 1419, 10836, 998, 3444, 5498, 28118, 24816, 5473, 9945, 267, 4213, 267, 543, 6608, 2324, 1927, 547, 7903, 519, 4395, 4536, 540, 1018, 13054, 4264, 1374, 2259, 780, 272, 269, 7464, 21509, 10241, 540, 519, 10222, 921, 4477, 1460, 13979, 538, 8562, 983, 19004, 543, 12655, 5071, 692, 6624, 4525, 1472, 519, 1158, 723, 2907, 13175, 7598, 10222, 921, 4477, 1460, 2994, 547, 4434, 9764, 4346, 989, 31789, 543, 6536, 4264, 1374, 2069, 267, 1382, 267, 543, 5647, 269, 1280, 1383, 1384, 265, 769, 2342, 267, 519, 3864, 4659, 540, 16743, 543, 5303, 630, 292, 3951, 264, 6770, 1927, 2362, 2069, 5238, 267, 1382, 3906, 267, 543, 16904, 547, 10994, 10296, 6848, 2591, 267, 1519, 2916, 1689, 543, 4199, 20317, 269, 2290, 8037, 11036, 568, 661, 3951, 8693, 11860, 2975, 267, 799, 6212, 12799, 593, 23960, 519, 5912, 2509, 513, 4642, 28003, 267, 9764, 4346, 563, 265, 769, 5607, 267, 14135, 781, 2817, 3194, 7690, 7028, 681, 22936, 2238, 10704, 593, 4264, 4683, 1949, 998, 922, 28941, 585, 3194, 28742, 1656, 25895, 27617, 630, 290, 3918, 12442, 1040, 10738, 595, 3918, 12442, 267, 3486, 4891, 12840, 5702, 547, 2232, 2152, 17640, 547, 3039, 5656, 267, 5100, 21870, 267, 2973, 1648, 267, 1216, 2359, 267, 543, 3653, 5786, 563, 265, 769, 3345, 3013, 267, 519, 12590, 4659, 540, 5303, 630, 300, 3951, 264, 5713, 607, 513, 6305, 12013, 541, 540, 9945, 8508, 741, 5539, 607, 8069, 540, 1689, 269, 20037, 14747, 3875, 7740, 267, 22475, 267, 543, 3292, 6131, 547, 14027, 6940, 267, 1082, 540, 799, 8362, 4497, 609, 2872, 3401, 543, 14519, 547, 14377, 3621, 23484, 883, 4052, 3156, 780, 9961, 713, 1576, 1770, 267, 649, 723, 8268, 519, 11358, 1909, 540, 9945, 267, 2872, 267, 543, 2229, 538, 5009, 9764, 4346, 543, 4264, 1374, 269, 1306, 2518, 2591, 1831, 5051, 1950, 543, 10562, 267, 19713, 519, 7104, 4987, 543, 2200, 540, 2789, 8639, 3587, 1898, 585, 8236, 2318, 4093, 269, 4475, 267, 14237, 7347, 10222, 921, 4477, 1460, 5121, 543, 14637, 3444, 5498, 28118, 19929, 1058, 2611 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6635, 18003, 568, 606, 1930, 2707, 2780, 8800, 543, 3301, 2754, 267, 1788, 267, 543, 3593, 2146, 602, 6272, 543, 3302, 999, 2582, 1532, 13635, 29668, 619, 543, 29668, 518, 20164, 585, 2679, 3059, 3457, 543, 7317, 3615, 602, 666, 2631, 543, 1852, 3615, 538, 519, 2168, 1158, 269, 634, 1788, 781, 2472, 616, 7856, 607, 1930, 21299, 8800, 543, 3301, 267, 799, 616, 13931, 896, 519, 717, 26214, 10815, 518, 4937, 5398, 17821, 630, 299, 294, 12195, 264, 610, 519, 717, 26214, 4937, 5398, 17821, 630, 294, 12195, 1070, 28498, 519, 5478, 540, 20798, 12545, 543, 3301, 3892, 676, 4896, 269, 20798, 12545, 616, 2139, 20749, 538, 840, 553, 5145, 1194, 1106, 267, 610, 607, 798, 32717, 3917, 712, 1345, 630, 14888, 312, 264, 20164, 563, 6944, 1503, 513, 4039, 599, 609, 20798, 20861, 258, 476, 276, 269, 623, 269, 631, 4115, 269, 818, 18003, 5850, 282, 769, 713, 2656, 20798, 5850, 594, 786, 2491, 875, 596, 666, 1852, 513, 20794, 1210, 519, 20798, 563, 1015, 269, 31584, 23081, 515, 598, 8299, 337, 1783, 18480, 269, 20798, 586, 320, 6446, 1609, 324, 721, 320, 19448, 5706, 16780, 807, 6446, 562, 657, 7989, 924, 598, 20973, 7843, 1602, 714, 11456, 269, 20704, 14764, 3890, 8930, 300, 1712, 9638, 514, 273, 563, 763, 20798, 781, 5752, 1893, 2306, 623, 310, 300, 2653, 547, 946, 282, 3274, 1289, 12746, 2237, 9638, 514, 267, 10279, 290, 19564, 1070, 1141, 10279, 290, 19564, 568, 513, 1871, 689, 476, 271, 547, 476, 14838, 563, 307, 18556, 714, 11456, 1483, 714, 5964, 598, 20798, 6167, 302, 20562, 718, 320, 700, 7374, 476, 1626, 343, 273, 23621, 11391, 334, 2123, 14184, 670, 295, 281, 27493, 281, 9399, 1290, 334, 554, 27468, 5979, 563, 21659, 582, 14022, 20798, 476, 277, 288, 343, 529, 4419, 334, 6513, 6022, 2280, 1944, 20798, 631, 9298, 16348, 271, 29790, 269, 7843, 1602, 714, 11456, 476, 30019, 1295, 583, 657, 269, 674, 6359, 756, 582, 267, 606, 32534, 9891, 2419, 1173, 532, 31584, 563, 307, 2858, 324, 18372, 598, 11465, 562, 826, 17383, 605, 344, 624, 334, 803, 4907, 328, 3288, 1966, 339, 3821, 632, 10540, 518, 1852, 541, 1714, 1609, 5964, 632, 3288, 536, 831, 320, 9067, 334, 632, 476, 273, 13767, 323, 553, 6446, 3351, 21289, 563, 5475, 1565, 875, 547, 8755, 513, 2582, 10896, 593, 707, 20798, 267, 596, 616, 4440, 3168, 585, 513, 1259, 547, 1118, 3579, 3270, 267, 855, 1745, 3908, 676, 519, 946, 540, 8488, 14061, 1403, 596, 2307, 563, 3519, 1609, 657, 10256, 1714, 20798, 812, 3385, 17485, 24421, 657, 620, 9920, 829, 334, 598, 1714, 700, 27840, 291, 522, 1714, 700, 29218, 301, 1714, 5102, 810, 3138, 1252, 334, 679, 3288, 31584, 476, 273, 1666, 5964, 679, 1714, 6539, 632, 669, 12118, 632, 9279, 515, 476, 275, 563, 1015, 11550, 312, 17614, 5308, 24315, 288, 570, 308, 8121, 291, 308, 2562, 302, 6845, 322, 650, 657, 586, 1011, 545, 15606, 16948, 900, 19649, 541, 267, 605, 344, 624, 657, 818, 18003, 21246, 5050, 525, 267, 6845, 322, 650, 657, 586, 1100, 21915, 334, 267, 16515, 4412, 1470, 16009, 4302, 8773, 563, 8505, 528, 570, 335, 4815, 281, 1496, 307, 18556, 714, 11456, 20798, 681, 12839, 26712, 9873, 278, 630, 299, 5866, 476, 276, 1691, 275, 1654, 8240, 264, 476, 271, 6490, 321, 4592, 552, 476, 272, 16731, 14397, 1609, 334, 513, 2357, 1609, 324, 512, 335, 4815, 269, 1656, 337, 291, 269, 22387, 31584, 563, 12507, 334, 8773, 598, 20798, 292, 6470, 31918, 269, 3933, 334, 8773, 598, 20798, 11968, 18699, 3930, 1642, 476, 272, 9389, 714, 11456, 17485, 13005, 818, 18003, 267, 8930, 476, 279, 679, 670, 26996, 630, 334, 524, 783, 638, 1512, 17333, 549, 8930, 1916, 307, 18556, 714, 11456, 32190, 632, 1102, 32057, 549, 329, 657, 632, 20798, 670, 27468, 796, 5547, 334, 632, 521, 4532, 1258, 714, 659, 514, 632, 620, 3279, 3348, 529, 514, 3351, 714, 18372, 13121, 6845, 810, 637, 632, 1102, 32057, 549, 329, 657, 632, 536, 26953, 1942, 334, 586, 796, 563, 307, 18556, 714, 11456, 1483, 714, 5964, 598, 20798, 6167, 302, 20562, 718, 320, 700, 7374, 476, 1626, 343, 273, 23621, 11391, 334, 2123, 14184, 670, 295, 281, 27493, 281, 9399, 1290, 334, 554, 27468, 5979, 281, 1215, 547, 798, 621, 563, 306, 517, 541, 814, 2141, 1044, 513, 4241, 1641, 267, 519, 3039, 21686, 4604, 543, 31300, 1359, 15956, 8204, 10546, 14742, 543, 20140, 1149, 814, 2760, 11074, 4241, 519, 15908, 626, 563, 2791, 949, 723, 2938, 891, 1187, 267, 2770, 27918, 12269, 16304, 538, 2576, 32075, 338, 2777, 610, 5604, 607, 1769, 26892, 269, 1284, 32075, 516, 2469, 547, 3082, 519, 1374, 547, 581, 513, 28707, 269, 962, 1575, 267, 513, 9649, 267, 2770, 27918, 267, 6531, 8032, 28707, 269, 4746, 267, 621, 4465, 32075, 339, 581, 6531, 4448, 267, 855, 621, 786, 946, 513, 7735, 547, 1689, 3270, 267, 799, 585, 938, 5301, 2965, 1568, 1732, 563, 1607, 1788, 666, 581, 3730, 585, 596, 952, 596, 723, 513, 3896, 602, 596, 666, 946, 547, 1832, 519, 1239, 269, 634, 1455, 1259, 568, 547, 1305, 519, 661, 9915, 279, 2918, 277, 547, 7746, 7154, 543, 1921, 547, 621, 689, 519, 4950, 676, 10024, 707, 18760, 7379, 2232, 538, 513, 11422, 269, 3733, 4950, 8502, 1810, 32075, 339, 1577, 803, 798, 602, 676, 4657, 1250, 7379, 2232, 1142, 942, 594, 4283, 519, 7379, 2232, 563, 6635, 18003, 12545, 616, 1390, 585, 17634, 269, 1411, 1175, 11690, 519, 12904, 538, 267, 543, 519, 4296, 3251, 972, 609, 5614, 3196, 269, 2201, 519, 824, 1688, 267, 789, 849, 7485, 856, 3833, 3362, 267, 865, 594, 2919, 606, 20798, 1133, 334, 26456, 602, 950, 519, 19984, 568, 9395, 2989, 267, 621, 849, 9395, 839, 1524, 519, 12904, 2469, 883, 519, 4604, 267, 1327, 6362, 873, 1524, 543, 3246, 513, 1434, 2179, 540, 8833, 8323, 563, 5575, 540, 782, 267, 596, 991, 513, 5078, 14164, 24891, 609, 513, 7008, 540, 1863, 26838, 2182, 12210, 2230, 630, 331, 2320, 2456, 666, 581, 5230, 3006, 1040, 7427, 519, 15775, 29035, 3296, 540, 8073, 547, 1205, 707, 19835, 3118, 909, 543, 4881, 630, 577, 5366, 29974, 31583, 3892, 267, 585, 1383, 1916, 21010, 532, 547, 519, 4950, 814, 711, 1044, 4443, 267, 2060, 519, 4417, 540, 519, 1007, 594, 5588, 630, 5769, 540, 1919, 264, 9074, 661, 9915, 279, 2918, 277, 922, 513, 30089, 547, 1921, 707, 29668, 518, 543, 20798, 3785, 547, 519, 4950, 563, 2005, 7140, 856, 602, 621, 568, 3833, 2653, 547, 1205, 5981, 320, 5968, 609, 20798, 3842, 30722, 13100, 609, 19219, 7304, 3633, 269, 2353, 596, 723, 547, 798, 568, 16459, 1079, 19219, 7304, 3633, 13838, 543, 14764, 909, 513, 19219, 7304, 3633, 10046, 609, 5981, 320, 10871, 543, 20798, 9136, 269, 3371, 594, 723, 513, 1788, 799, 814, 5981, 320, 2490, 593, 543, 1055, 1079, 10896, 8279, 607, 513, 1629, 334, 563, 20779, 2970, 919, 875, 547, 1305, 606, 681, 12839, 15372, 585, 519, 20798, 20023, 543, 631, 298, 305, 1911, 271, 901, 1383, 3009, 568, 538, 519, 1857, 6389, 563, 289, 14979, 330, 568, 513, 25957, 609, 25515, 543, 15692, 8924, 547, 1852, 20798, 267, 30722, 13100, 543, 519, 15055, 936, 519, 5769, 269, 898, 781, 513, 3059, 21686, 4580, 1141, 596, 666, 1628, 513, 8642, 563, 6635, 18003, 1744, 3658, 20798, 623, 2931, 20444, 932, 12118, 3474, 320, 31584, 476, 14096, 7825, 10897, 592, 623, 5357, 305, 13612, 6860, 288, 1773, 20403, 16948, 20444, 570, 4932, 303, 3036, 22003, 4696, 3036, 595, 2975, 299, 2975, 302, 28217, 290, 269, 476, 276, 295, 9460, 23813, 298, 9460, 296, 12208, 7464, 21289, 563, 303, 528, 3473, 10044, 986, 345, 333, 3288, 1303, 2784, 320, 20444, 642, 16695, 632, 2848, 5816, 1965, 1852, 632, 13121, 4419, 657, 3242, 1304, 324, 618, 324, 598, 20798, 269, 2073, 31584, 267, 4419, 334, 476, 272, 1290, 550, 9222, 9389, 714, 11456, 563, 3682, 344, 624, 657, 20798, 586, 562, 3437, 3547, 632, 20798, 19782, 1512, 334, 3775, 339, 4815, 586, 721, 340, 9222, 3110, 3770, 632, 26189, 1963, 7605, 334, 13510, 20345, 688, 1212, 5964, 796, 562, 826, 17383, 8773, 598, 1714, 6446, 795, 13610, 796, 553, 563, 307, 18556, 714, 11456, 1483, 714, 5964, 598, 20798, 6167, 302, 20562, 718, 320, 700, 7374, 476, 1626, 343, 273, 23621, 11391, 334, 2123, 14184, 670, 295, 281, 27493, 281, 9399, 1290, 334, 554, 27468, 5979, 281, 6754, 519, 8773, 5373, 18536, 476, 277, 1296, 3516, 454, 15187, 306, 16428, 568, 606, 20798, 14173, 799, 2636, 596, 547, 6895, 707, 4055, 689, 9170, 538, 519, 1158, 3842, 5769, 563, 5472, 596, 1131, 991, 568, 513, 11422, 543, 713, 6539, 814, 782, 519, 8800, 2838, 547, 6895, 707, 4055, 543, 2638, 952, 922, 3636, 267, 711, 1932, 18519, 543, 952, 2576, 814, 7745, 883, 707, 1753, 563, 296, 4941, 513, 5100, 31296, 602, 4951, 803, 711, 5874, 689, 606, 21236, 267, 729, 1507, 2614, 547, 5957, 267, 543, 1185, 513, 22507, 762, 6007, 602, 16768, 585, 693, 2547, 513, 1554, 269, 594, 2813, 1250, 1378, 11197, 4585, 1759, 593, 606, 20798, 269, 898, 568, 513, 5100, 31296, 1759, 593, 606, 20798, 9910, 605, 267, 799, 568, 4448, 547, 519, 21236, 936, 29402, 269, 0, 763, 4469, 5792, 15858, 6087, 1053, 547, 13713, 1451, 827, 513, 1641, 1991, 547, 11504, 1362, 6185, 1030, 6873, 4469, 5792, 4804, 568, 513, 1505, 540, 3450, 538, 799, 2757, 4928, 15872, 616, 8719, 676, 3381, 18862, 269, 9502, 540, 1166, 5792, 4928, 910, 2296, 9218, 269, 513, 3450, 1505, 538, 799, 1053, 1101, 1451, 827, 513, 1007, 1641, 693, 1753, 267, 2523, 2228, 267, 543, 1287, 723, 5717, 593, 621, 538, 1362, 31677, 10206, 540, 513, 4469, 5792, 15858, 13979, 281, 634, 4469, 5792, 7844, 814, 1044, 7550, 2066, 513, 2647, 2039, 540, 3872, 8658, 267, 543, 2296, 5678, 763, 2757, 10206, 540, 4928, 2861, 1565, 568, 5828, 593, 922, 2212, 281, 2290, 4122, 6709, 6838, 4214, 568, 602, 6780, 3587, 1166, 5792, 4928, 630, 680, 1116, 1166, 5792, 13460, 1040, 589, 4928, 602, 3096, 519, 1166, 5792, 1565, 1062, 540, 2069, 269, 27511, 281, 1166, 6235, 4928, 267, 1603, 5578, 267, 2296, 607, 513, 4914, 1893, 267, 1053, 8456, 16638, 713, 4214, 267, 2609, 540, 519, 10558, 6261, 15462, 6261, 28558, 630, 13048, 303, 264, 543, 17130, 15369, 5678, 9752, 630, 307, 13993, 307, 264, 4485, 616, 1336, 547, 3514, 538, 513, 19154, 14292, 1982, 630, 4537, 12609, 267, 476, 1001, 271, 1040, 12428, 4436, 2296, 5053, 3943, 12355, 7969, 5545, 10656, 14470, 14082, 4936, 1014, 6739, 2529, 2514, 1166, 5792, 4928, 538, 281, 5680, 269, 16103, 269, 9502, 269, 9218, 269, 1548, 568, 513, 1166, 5792, 4928, 286, 4495, 513, 1007, 2856, 3587, 513, 18388, 5320, 267, 8930, 940, 1524, 519, 4214, 666, 1831, 513, 512, 611, 811, 4101, 269, 634, 1166, 5792, 1565, 3060, 814, 2919, 1018, 789, 4126, 786, 581, 2938, 607, 519, 17046, 4214, 31802, 543, 5042, 4452, 538, 519, 1166, 5792, 4928, 281, 9502, 267, 24117, 543, 513, 1289, 585, 1382, 12171, 331, 6235, 519, 4928, 585, 2296, 1893, 6267, 547, 6536, 3742, 1565, 563, 20663, 2667, 13554, 5678, 4804, 267, 476, 2764, 263, 272, 1070, 476, 279, 866, 277, 269, 8222, 281, 476, 1015, 269, 10482, 271, 270, 271, 4817, 6434, 273, 2641, 269, 1001, 275, 269, 280, 6858, 3583, 272, 269, 589, 8772, 17263, 4116, 786, 2936, 513, 1166, 5792, 4928, 8335, 982, 513, 1164, 1153, 2296, 4116, 2529, 1550, 1142, 4116, 786, 2626, 602, 2243, 538, 513, 1114, 1259, 267, 972, 568, 1100, 971, 3364, 607, 835, 4214, 540, 519, 1166, 5792, 4928, 269, 645, 9347, 814, 3989, 519, 1166, 5792, 4928, 607, 2348, 2185, 1883, 2609, 630, 1001, 274, 2567, 476, 272, 269, 3629, 606, 4316, 585, 1053, 547, 2744, 1101, 4598, 547, 1576, 1570, 1991, 547, 1362, 267, 2436, 998, 11000, 7044, 610, 5496, 4751, 338, 269, 476, 273, 1215, 4469, 6235, 519, 15858, 2052, 13724, 519, 12465, 17976, 269, 476, 278, 18738, 519, 4469, 5792, 15858, 476, 1015, 4706, 513, 4469, 6235, 7169, 476, 1724, 19331, 731, 513, 5871, 9502, 540, 4469, 5792, 4804, 476, 1428, 4469, 5792, 4804, 28024, 696, 6291, 1411, 516, 13156, 13334, 538, 2296, 563, 2791, 666, 1689, 713, 13283, 2630, 11053, 8084, 281, 3778, 543, 4214, 540, 4469, 5792, 15858, 269, 1166, 5792, 4928, 910, 5131, 4214, 2164, 689, 936, 476, 10204, 271, 2228, 21594, 7868 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 21247, 269, 634, 5413, 540, 519, 21247, 568, 602, 621, 568, 12001, 547, 2620, 632, 324, 533, 11158, 630, 19749, 353, 18458, 333, 332, 264, 543, 814, 513, 1360, 1970, 8143, 7269, 11664, 269, 744, 269, 30323, 1372, 267, 631, 269, 1234, 573, 32304, 267, 590, 269, 5576, 3530, 1676, 267, 543, 808, 269, 645, 622, 2006, 267, 20348, 3557, 5303, 2019, 269, 476, 3066, 1100, 269, 476, 280, 630, 5353, 696, 476, 2735, 277, 264, 533, 269, 476, 8099, 454, 15031, 1181, 19087, 1210, 21957, 2645, 454, 1103, 513, 1462, 1462, 3821, 476, 673, 331, 21957, 21957, 30918, 1062, 900, 4806, 568, 2966, 609, 513, 1769, 4050, 593, 513, 30932, 18422, 8546, 269, 634, 3977, 540, 519, 21957, 1062, 568, 2356, 538, 519, 1106, 540, 513, 9352, 1239, 563, 763, 634, 13005, 1239, 616, 1101, 476, 1009, 12261, 883, 3684, 1893, 543, 1287, 10299, 547, 606, 9804, 267, 6475, 11237, 267, 610, 8955, 1062, 543, 6368, 1374, 5546, 593, 519, 9633, 269, 476, 279, 454, 288, 8955, 4806, 5108, 1062, 454, 18893, 923, 910, 17943, 543, 5262, 3555, 5262, 3555, 769, 1931, 547, 1174, 519, 7207, 540, 2413, 530, 29195, 4598, 1949, 649, 786, 991, 547, 2689, 930, 2596, 2035, 827, 1769, 543, 9804, 1062, 269, 3040, 3040, 454, 305, 599, 16439, 630, 817, 11167, 1769, 12599, 538, 2786, 3515, 264, 1568, 1134, 607, 1279, 607, 519, 7516, 616, 1804, 3379, 547, 18494, 1775, 269, 552, 269, 9325, 2470, 540, 519, 1769, 269, 2311, 4130, 7516, 267, 32250, 2360, 20441, 1775, 4318, 1421, 5951, 2470, 540, 519, 1769, 269, 17435, 5014, 593, 519, 9633, 616, 13380, 547, 519, 15423, 540, 519, 1769, 269, 1403, 519, 27934, 568, 593, 519, 1931, 540, 18494, 267, 519, 1769, 19082, 856, 1310, 8429, 998, 519, 27934, 269, 630, 763, 4130, 519, 27934, 267, 519, 811, 621, 19082, 856, 4700, 634, 1769, 602, 10596, 998, 519, 27934, 630, 332, 2532, 264, 11438, 609, 621, 519, 1344, 593, 519, 2450, 543, 3337, 540, 602, 27934, 630, 22563, 823, 4806, 1916, 763, 1769, 886, 26167, 547, 9962, 9962, 23109, 11438, 519, 1344, 827, 519, 32067, 3877, 540, 519, 589, 13630, 675, 630, 22563, 823, 4806, 1070, 799, 616, 4503, 1101, 950, 7828, 540, 13113, 2450, 1015, 568, 946, 454, 310, 29195, 22452, 7010, 2450, 540, 519, 3239, 630, 323, 3554, 2678, 1916, 23086, 8228, 568, 5827, 540, 1164, 6571, 855, 814, 30849, 8919, 24186, 269, 769, 19763, 267, 32250, 2360, 616, 7413, 269, 3040, 1160, 343, 14383, 8228, 3112, 3362, 1820, 2934, 2630, 513, 1906, 18725, 332, 630, 21955, 585, 1535, 11920, 1949, 1040, 18648, 6571, 1813, 547, 32250, 2360, 267, 2838, 476, 272, 2473, 9633, 269, 3040, 5741, 542, 8228, 2488, 1164, 6571, 543, 1970, 8919, 24186, 543, 1422, 2531, 7149, 2221, 269, 3040, 30003, 16879, 1949, 946, 5786, 25852, 630, 273, 311, 910, 476, 276, 311, 1070, 1900, 543, 10956, 610, 1900, 476, 1321, 543, 11571, 7344, 1949, 267, 1820, 3980, 376, 476, 2004, 530, 2378, 619, 10774, 712, 530, 2378, 619, 10774, 712, 543, 1942, 1942, 1269, 276, 910, 476, 1015, 300, 563, 19061, 542, 5741, 542, 7010, 7010, 630, 29163, 29163, 5262, 847, 328, 5262, 3555, 593, 3738, 3040, 1452, 616, 519, 8789, 1949, 538, 946, 3040, 3040, 3040, 3040, 3040, 3040, 3040, 454, 339, 3736, 269, 13437, 568, 2356, 4330, 538, 2474, 540, 3040, 6571, 3040, 3178, 540, 1445, 3040, 2361, 540, 2070, 3040, 25244, 4483, 1599, 3040, 12972, 6111, 3040, 998, 1584, 476, 1724, 454, 1692, 2673, 1927, 666, 789, 581, 543, 1869, 581, 17251, 538, 519, 3239, 1544, 888, 10521, 1507, 11105, 2934, 593, 513, 9633, 454, 2793, 568, 519, 2702, 540, 30776, 547, 5531, 1769, 269, 1769, 1547, 681, 21591, 272, 269, 2420, 16575, 535, 546, 454, 272, 269, 2420, 16575, 535, 562, 263, 273, 535, 5609, 14668, 12467, 271, 269, 8618, 16575, 562, 5609, 14668, 454, 284, 918, 476, 272, 16575, 19364, 454, 8489, 562, 814, 1044, 3769, 585, 1252, 1275, 1252, 1275, 543, 568, 519, 4994, 540, 1201, 3555, 540, 519, 1570, 1063, 519, 1843, 543, 519, 7828, 543, 681, 568, 519, 5934, 4183, 476, 1691, 2450, 269, 2450, 563, 21653, 540, 519, 3239, 630, 323, 3554, 2678, 1916, 291, 3704, 540, 519, 1445, 630, 23077, 293, 264, 3040, 454, 2026, 728, 31035, 689, 689, 519, 886, 545, 7411, 12804, 1399, 540, 1804, 1804, 14485, 267, 972, 568, 849, 513, 1713, 2721, 1394, 547, 1210, 2362, 10230, 27934, 630, 2793, 1070, 540, 513, 7828, 269, 1403, 24818, 568, 519, 593, 7852, 2619, 3259, 3017, 693, 519, 3970, 540, 519, 1445, 267, 1287, 519, 2619, 3259, 3017, 585, 513, 18422, 689, 519, 6316, 540, 519, 13675, 27934, 568, 3274, 24818, 6523, 15184, 269, 634, 681, 1446, 662, 7355, 585, 3178, 540, 519, 1445, 568, 3274, 602, 891, 1079, 13080, 711, 8428, 676, 811, 982, 18494, 270, 275, 1775, 269, 552, 1421, 18494, 454, 284, 24818, 6567, 24818, 5430, 15184, 16564, 476, 273, 24818, 15184, 476, 273, 815, 24818, 476, 272, 6567, 630, 272, 6567, 3738, 9881, 483, 2073, 8263, 476, 273, 476, 273, 9881, 483, 5609, 16564, 21591, 323, 476, 273, 535, 454, 23077, 293, 815, 24818, 815, 13008, 454, 284, 19364, 630, 529, 513, 2268, 540, 875, 1454, 540, 519, 886, 26167, 1769, 519, 7828, 24693, 543, 3239, 264, 18494, 454, 273, 263, 19364, 264, 476, 273, 454, 284, 13008, 918, 476, 273, 454, 263, 19364, 264, 476, 273, 454, 330, 273, 568, 2356, 4603, 958, 5462, 269, 476, 1704, 454, 1607, 3178, 540, 1445, 568, 593, 519, 1482, 1931, 607, 519, 5706, 4494, 11098, 3294, 563, 9556, 1637, 18734, 9577, 630, 21587, 293, 264, 3040, 454, 21587, 293, 568, 513, 2268, 540, 519, 9804, 4334, 538, 519, 19666, 3239, 676, 519, 4598, 1062, 269, 634, 2362, 519, 24211, 293, 519, 1732, 519, 9804, 4334, 269, 24211, 293, 540, 606, 3239, 666, 581, 3989, 607, 454, 1892, 589, 946, 14673, 3730, 331, 1219, 328, 2822, 527, 6491, 1470, 9357, 333, 540, 519, 22883, 807, 8901, 331, 25843, 540, 4052, 1769, 2959, 585, 12776, 2762, 568, 3274, 3040, 590, 284, 3040, 454, 296, 3193, 6567, 594, 1295, 594, 3193, 1341, 594, 1295, 454, 21587, 293, 1213, 320, 4679, 28140, 609, 609, 1232, 337, 3526, 320, 1574, 514, 2206, 326, 15423, 269, 1280, 1804, 1804, 9028, 4183, 579, 816, 2450, 2450, 24211, 293, 24211, 293, 568, 568, 9322, 9322, 907, 1306, 519, 535, 552, 2137, 2450, 11081, 32250, 2360, 2014, 519, 24211, 293, 31358, 547, 6368, 6603, 4642, 950, 519, 2934, 616, 865, 5702, 22274, 602, 972, 568, 1100, 6967, 4334, 538, 519, 3239, 563, 331, 662, 1769, 339, 11877, 2707, 2781, 5603, 5603, 564, 552, 614, 2144, 27772, 7828, 8006, 454, 1892, 4698, 328, 19750, 1608, 1769, 1769, 11877, 322, 2959, 1965, 616, 616, 711, 711, 1448, 2959, 269, 4475, 267, 519, 1769, 11495, 519, 9633, 786, 711, 581, 7077, 6329, 269, 3040, 11978, 3821, 15380, 561, 569, 23463, 590, 9625, 476, 271, 269, 276, 476, 271, 269, 276, 547, 547, 476, 271, 269, 278, 476, 271, 269, 278, 538, 2413, 2413, 1949, 563, 23086, 543, 1160, 343, 14383, 7010, 630, 674, 637, 6773, 454, 23087, 540, 530, 29195, 8228, 1949, 454, 6944, 320, 13555, 524, 339, 1820, 8228, 3824, 19523, 1062, 1661, 1087, 1766, 520, 7500, 552, 538, 519, 519, 2282, 2361, 610, 674, 637, 6773, 32250, 12512, 269, 12512, 269, 1703, 1703, 568, 620, 342, 2141, 513, 903, 930, 930, 7934, 7934, 914, 933, 1063, 679, 519, 519, 9633, 543, 5706, 269, 3040, 634, 634, 7098, 328, 19666, 620, 4337, 3239, 552, 666, 666, 581, 931, 1526, 745, 512, 1192, 324, 524, 1540, 546, 676, 31935, 1448, 2959, 1369, 519, 27934, 267, 1142, 10237, 908, 20085, 6329, 630, 295, 8500, 326, 839, 5951, 7410, 1040, 3040, 3955, 325, 3955, 325, 699, 552, 5270, 562, 576, 2498, 324, 2360, 524, 1206, 543, 543, 886, 337, 886, 847, 2962, 9357, 1267, 538, 968, 2590, 532, 892, 543, 10825, 3544, 519, 27934, 269, 3040, 674, 637, 674, 637, 928, 562, 749, 886, 886, 571, 476, 847, 524, 339, 1470, 9357, 333, 813, 2993, 10039, 1965, 950, 950, 454, 1892, 3040, 3040, 454, 1103, 519, 3346, 8228, 1062, 2073, 513, 1360, 1164, 6571, 3239, 568, 3812, 1775, 269, 552, 1421, 5934, 32250, 1198, 269, 1062, 267, 519, 6571, 31358, 1317, 540, 2282, 2361, 769, 513, 16133, 8228, 1062, 267, 674, 637, 6773, 32250, 2360, 269, 769, 519, 16879, 8228, 1062, 2073, 32250, 2360, 616, 31965, 676, 11093, 513, 7828, 1063, 9633, 543, 519, 530, 29195, 269, 1656, 1445, 519, 27934, 27934, 593, 519, 530, 29195, 269, 898, 568, 2312, 2312, 689, 519, 4137, 4137, 602, 519, 5543, 340, 6571, 512, 542, 540, 540, 519, 9938, 574, 16133, 621, 344, 1062, 1062, 568, 17071, 547, 1312, 540, 519, 824, 1949, 269, 901, 568, 1946, 16879, 1949, 616, 1031, 538, 5663, 2221, 563, 4415, 328, 2060, 4883, 713, 713, 2039, 267, 2039, 267, 519, 6922, 340, 5934, 544, 5543, 15344, 4183, 2450, 568, 454, 7078, 281, 952, 575, 815, 476, 736, 18725, 332, 543, 606, 575, 11060, 1769, 630, 275, 3607, 333, 332, 264, 2707, 568, 1031, 267, 654, 2381, 9881, 486, 18414, 330, 16575, 326, 654, 1295, 476, 274, 18725, 332, 269, 11978, 3821, 30003, 331, 1871, 1871, 540, 737, 568, 5008, 2673, 552, 547, 476, 272, 543, 543, 901, 568, 1454, 3677, 1287, 519, 10155, 1031, 538, 2413, 966, 299, 10485, 13365, 1547, 1717, 267, 585, 3498, 538, 2620, 839, 593, 19919, 1184, 269, 799, 2934, 2450, 616, 15095, 609, 873, 267, 16133, 23252, 616, 606, 22237, 3070, 269, 476, 2641, 454, 28097, 6286, 540, 1739, 9819, 585, 519, 1099, 6048, 602, 602, 1590, 5478, 27820, 609, 476, 271, 269, 276, 18725, 332, 2934, 269, 0, 268, 4208, 798, 649, 18634, 543, 1449, 888, 268, 1215, 798, 596, 1376, 513, 18634, 888, 268, 1548, 2501, 1310, 519, 18634, 888, 268, 1215, 30384, 616, 3812, 888, 268, 1548, 568, 519, 1292, 4162, 540, 513, 18634, 888, 268, 1215, 568, 513, 18634, 1114, 689, 519, 8737, 1587, 888, 268, 1548, 568, 519, 3017, 1063, 1216, 6420, 2203, 543, 18634, 2203, 888, 268, 4208, 798, 649, 991, 513, 18634, 888, 268, 1548, 568, 606, 1383, 540, 513, 18634, 888, 268, 1879, 1131, 596, 946, 513, 12235, 12537, 18634, 888, 268, 1548, 568, 519, 2495, 540, 18634, 888, 268, 1548, 616, 519, 1614, 2010, 540, 30384, 888, 268, 1548, 568, 513, 1434, 18634, 888, 268, 1548, 568, 513, 2203, 543, 18634, 888, 268, 1548, 568, 3301, 1486, 19685, 2203, 543, 922, 2956, 888, 268, 1548, 568, 1776, 2262, 585, 18634, 888, 268, 1548, 616, 519, 2010, 540, 18634, 888, 268, 1548, 568, 18634, 2203, 543, 922, 5383, 543, 11393, 888, 3963, 798, 649, 18634, 543, 1449, 888, 763, 3483, 540, 4152, 513, 18634, 568, 547, 1118, 2386, 942, 543, 2724, 979, 883, 2870, 519, 681, 20846, 1587, 563, 4517, 950, 596, 1449, 513, 18634, 267, 1818, 1374, 2242, 568, 3728, 543, 2653, 563, 1103, 519, 1279, 2196, 267, 621, 786, 4688, 596, 942, 267, 2724, 267, 543, 14331, 2864, 982, 3257, 782, 540, 707, 772, 311, 4152, 950, 513, 1587, 568, 5176, 2347, 10756, 1692, 798, 596, 1376, 513, 18634, 888, 2080, 616, 2185, 3268, 547, 1205, 707, 1101, 18634, 3710, 865, 596, 666, 2490, 707, 2856, 883, 513, 31601, 267, 19311, 1587, 5861, 5273, 513, 10417, 28220, 269, 634, 1101, 1900, 4724, 7432, 707, 2856, 883, 4641, 568, 3478, 621, 1524, 593, 1957, 269, 2560, 3763, 513, 14044, 5019, 9189, 269, 2560, 12706, 513, 8447, 5019, 9189, 269, 2560, 700, 11229, 513, 13583, 25033, 563, 1432, 2501, 1310, 519, 18634, 888, 5475, 519, 4702, 18634, 814, 1044, 6707, 7318, 267, 513, 2504, 18634, 568, 2813, 269, 901, 568, 519, 2063, 21533, 1354, 6272, 616, 5950, 585, 2527, 1790, 3174, 1907, 532, 269, 2560, 634, 2504, 18634, 568, 1031, 585, 4359, 4152, 267, 9117, 547, 19472, 519, 3803, 1062, 1374, 563, 1692, 30384, 616, 3812, 888, 303, 3174, 18634, 607, 7363, 1114, 538, 1312, 3498, 543, 8247, 689, 606, 7177, 610, 21826, 5019, 9189, 269, 7177, 18634, 568, 513, 14475, 5057, 610, 10198, 602, 568, 1031, 547, 6218, 519, 1587, 2773, 610, 1599, 269, 2560, 1452, 1950, 2934, 666, 581, 3812, 1210, 513, 18981, 1984, 610, 4234, 515, 3684, 563, 1432, 568, 519, 1292, 4162, 540, 513, 18634, 888, 288, 18634, 568, 513, 25229, 21747, 2324, 3732, 267, 2203, 267, 23769 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4139, 5351, 849, 5129, 513, 2629, 1909, 267, 2523, 689, 3906, 899, 519, 2136, 8315, 28057, 543, 29407, 10029, 630, 7419, 305, 6938, 6393, 12244, 22830, 281, 19147, 1053, 883, 1507, 2516, 543, 3651, 1142, 1895, 513, 4305, 2147, 547, 1346, 2038, 6051, 3785, 5018, 4505, 630, 2193, 2130, 6299, 1076, 267, 28472, 9897, 267, 3092, 12175, 5620, 873, 16540, 2994, 543, 2200, 2877, 547, 2347, 519, 4247, 1210, 3908, 7727, 543, 6578, 10148, 269, 9181, 19320, 1063, 741, 3435, 543, 4890, 3140, 2409, 6964, 1282, 2022, 21351, 16646, 780, 4089, 476, 274, 281, 11572, 570, 5014, 27933, 25608, 454, 4407, 2168, 11808, 27636, 7444, 267, 2797, 13253, 1138, 332, 1229, 9944, 519, 2627, 269, 5565, 1292, 6105, 7153, 1107, 519, 21340, 2817, 8644, 3130, 13571, 630, 292, 4456, 264, 543, 519, 15061, 5259, 2229, 4229, 6462, 5097, 676, 6628, 269, 3962, 2427, 6322, 547, 11851, 1852, 936, 10255, 781, 2104, 4287, 3056, 547, 513, 3540, 2112, 689, 476, 3707, 277, 547, 476, 3707, 280, 1634, 607, 519, 5259, 6406, 2782, 780, 7078, 281, 6333, 1079, 12543, 2713, 1985, 7450, 547, 1142, 824, 538, 6917, 10255, 269, 5637, 15068, 519, 3520, 5558, 540, 24918, 855, 3180, 15852, 5784, 3823, 10255, 781, 2619, 4464, 269, 4256, 22195, 15583, 622, 267, 4929, 20711, 1206, 1369, 17052, 267, 3885, 267, 543, 3003, 14252, 269, 16828, 267, 11439, 7526, 21074, 2429, 519, 3148, 267, 1266, 5285, 532, 17608, 21127, 538, 5208, 543, 10462, 780, 6962, 912, 763, 3460, 2509, 2022, 21351, 16646, 538, 10255, 729, 9808, 9853, 609, 9465, 267, 32333, 267, 543, 29217, 269, 3414, 5698, 267, 4199, 6888, 267, 543, 22406, 16177, 267, 16380, 7930, 32206, 741, 695, 13593, 2486, 269, 1717, 267, 2620, 15523, 7283, 10423, 1279, 1310, 3984, 1988, 30403, 267, 22348, 721, 602, 7067, 1419, 3217, 2484, 3476, 982, 3274, 21338, 7745, 5656, 610, 13123, 269, 2913, 721, 1451, 3407, 4245, 689, 1686, 267, 5807, 9322, 543, 6568, 8164, 2009, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 28494, 21788, 4753, 281, 968, 293, 15127, 22210, 902, 538, 17721, 8187, 15227, 525, 2223, 538, 4168, 3163, 18554, 267, 5292, 269, 476, 2568, 267, 3143, 269, 476, 13301, 267, 5181, 476, 277, 267, 476, 3422, 279, 267, 533, 269, 476, 280, 563, 314, 1103, 519, 1739, 6404, 2689, 267, 7085, 541, 31234, 602, 590, 650, 527, 4141, 2982, 1390, 5578, 538, 589, 10326, 593, 9605, 267, 855, 602, 519, 3209, 14543, 607, 1390, 1148, 24358, 299, 3716, 1913, 22551, 539, 267, 2571, 1913, 22883, 269, 589, 27615, 660, 538, 513, 3190, 540, 16563, 267, 513, 9240, 534, 538, 513, 1158, 781, 513, 4221, 269, 589, 3529, 593, 3595, 267, 513, 2777, 593, 3595, 267, 513, 4182, 593, 3595, 267, 513, 1158, 711, 1256, 8384, 563, 288, 24788, 748, 20893, 540, 2621, 269, 589, 1350, 7867, 532, 5134, 540, 1913, 8929, 609, 2370, 1769, 11789, 540, 3134, 580, 1090, 543, 2220, 597, 1194, 676, 865, 582, 344, 1196, 323, 625, 540, 561, 755, 269, 634, 7376, 945, 16339, 2478, 1346, 945, 1810, 1405, 1174, 1864, 11652, 2306, 1100, 4674, 547, 1174, 873, 269, 634, 7376, 607, 4620, 1399, 31376, 543, 2101, 6408, 282, 519, 7376, 607, 522, 2378, 267, 18854, 267, 804, 1144, 267, 13680, 16629, 534, 13960, 269, 634, 7376, 607, 9568, 2141, 827, 547, 4755, 267, 513, 2186, 540, 12457, 1799, 29561, 282, 519, 7376, 607, 21042, 903, 6509, 543, 607, 10917, 652, 6681, 4487, 540, 513, 10917, 652, 6681, 267, 31523, 7622, 269, 634, 7376, 607, 7376, 269, 634, 7376, 607, 21142, 590, 650, 527, 4141, 269, 590, 650, 527, 4141, 607, 3025, 563, 1607, 568, 513, 562, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 8070, 8862, 541, 25608, 543, 15348, 257, 607, 851, 540, 834, 19615, 1315, 2342, 1315, 10255, 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, 5629, 2390, 513, 942, 267, 972, 729, 513, 2370, 1907, 3957, 15207, 519, 7305, 27517, 269, 15207, 5030, 538, 513, 2462, 13186, 4904, 609, 782, 12204, 540, 2645, 543, 6191, 269, 4634, 1498, 15207, 729, 1507, 267, 646, 1185, 2462, 9909, 540, 4543, 1004, 1628, 4190, 1919, 269, 1809, 15207, 729, 1114, 689, 519, 824, 2645, 1317, 646, 4769, 1405, 991, 4896, 547, 3180, 1864, 610, 2490, 1010, 6023, 282, 646, 1185, 1010, 1378, 5179, 543, 6007, 2439, 3080, 1554, 267, 1247, 15207, 729, 16889, 538, 1010, 12123, 6728, 267, 646, 23986, 731, 1079, 4600, 6158, 827, 1945, 1572, 4965, 543, 4160, 269, 15207, 7012, 1405, 2386, 1018, 1346, 1913, 5921, 267, 855, 789, 32131, 3978, 269, 1261, 4956, 547, 2307, 835, 540, 519, 7874, 3425, 7404, 267, 8861, 780, 257, 27880, 2437, 4280, 15207, 267, 834, 6343, 616, 4965, 543, 4160, 12482, 27880, 20493, 27145, 543, 14452, 267, 834, 11039, 267, 15207, 267, 3006, 1004, 1745, 2731, 8909, 610, 14126, 585, 1100, 1880, 2601, 269, 898, 781, 899, 4743, 13110, 1256, 1310, 2348, 7899, 540, 3207, 267, 610, 1373, 18901, 1510, 4376, 17559, 8345, 3010, 20755, 3240, 2219, 827, 713, 585, 513, 4090, 269, 834, 3383, 875, 798, 1004, 4368, 621, 286, 2052, 594, 948, 873, 8119, 646, 9289, 16965, 780, 257, 8133, 267, 596, 666, 10590, 1767, 8861, 269, 834, 9617, 676, 3257, 707, 2816, 1765, 3559, 4771, 1004, 1711, 1919, 32503, 3142, 7772, 543, 3483, 883, 741, 2729, 269, 8490, 2337, 16297, 8186, 689, 2942, 4555, 543, 2488, 513, 2631, 540, 22920, 269, 1656, 3314, 267, 1169, 1268, 12523, 543, 6927, 267, 1175, 899, 1142, 1907, 538, 713, 13186, 3010, 30342, 9415, 267, 15207, 4682, 1394, 547, 960, 519, 1985, 1554, 609, 17105, 25525, 269, 1306, 646, 5280, 7585, 1628, 513, 11308, 11442, 14500, 585, 1010, 8250, 267, 646, 8068, 602, 7585, 8604, 18668, 543, 811, 17159, 269, 9320, 5969, 3574, 543, 2679, 519, 4773, 1927, 1500, 7585, 7340, 827, 1010, 19048, 585, 513, 1247, 780, 3719, 1287, 267, 10393, 267, 15207, 3323, 1818, 9490, 4992, 267, 543, 1010, 16405, 9327, 1405, 8095, 607, 3728, 607, 1354, 269, 7937, 1100, 256, 12984, 15207, 7745, 286, 14348, 646, 711, 581, 2111, 547, 948, 15042, 2496, 8450, 532, 15207, 781, 11605, 267, 8861, 3357, 936, 547, 2638, 593, 1864, 269, 2701, 6045, 602, 3025, 2115, 513, 2736, 3006, 267, 1519, 2645, 269, 3807, 607, 1352, 2877, 547, 22507, 1200, 6049, 267, 15207, 2877, 547, 3579, 1524, 865, 1010, 5179, 9327, 1405, 6633, 856, 269, 2991, 513, 2110, 1964, 267, 15207, 5433, 1732, 982, 2479, 2439, 5804, 602, 1554, 4464, 267, 15207, 4797, 547, 4217, 1004, 538, 2870, 8748, 3785, 267, 6616, 602, 646, 5129, 513, 1909, 538, 6505, 2287, 2576, 781, 1554, 269, 769, 1010, 1378, 1259, 267, 15207, 6026, 1866, 602, 2921, 1416, 540, 13951, 568, 1898, 267, 2436, 596, 2811, 513, 3349, 4718, 610, 513, 1480, 269, 8625, 267, 649, 666, 7753, 2591, 543, 1265, 8788, 998, 5876, 543, 4276, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 32091, 5272, 7853, 267, 4653, 594, 1131, 899, 547, 6338, 1215, 547, 1118, 589, 16353, 7305, 27517, 4635, 8682, 5336, 19318, 543, 23996, 5295, 269, 901, 7305, 27517, 814, 476, 273, 12331, 4718, 281, 6693, 20181, 24266, 8955, 3797, 2306, 946, 540, 11909, 9543, 27510, 1036, 9512, 540, 4552, 538, 930, 29235, 5722, 1004, 269, 674, 5914, 8955, 3797, 568, 5340, 538, 7936, 27243, 18916, 29473, 2424, 609, 31004, 30046, 950, 3308, 1035, 8462, 568, 22485, 547, 8938, 270, 3228, 344, 610, 1447, 3330, 1614, 3275, 540, 29473, 2424, 269, 9615, 623, 9417, 622, 22007, 30231, 624, 1162, 540, 1492, 17534, 267, 11469, 267, 11263, 267, 543, 22405, 543, 2960, 3622, 3100, 538, 2663, 6689, 543, 18273, 4887, 6001, 656, 585, 20015, 343, 1143, 10958, 5418, 2145, 476, 2004, 16936, 593, 1899, 563, 763, 3968, 666, 581, 3665, 538, 6375, 665, 20234, 668, 2213, 7606, 543, 20169, 12256, 267, 543, 6765, 12889, 666, 4755, 952, 513, 9176, 8004, 3587, 7783, 269, 634, 11186, 12180, 16415, 693, 519, 13020, 344, 540, 3043, 1591, 7048, 949, 1459, 513, 3833, 8984, 538, 1022, 824, 2013, 6093, 11491, 592, 25959, 748, 15087, 269, 7981, 1242, 2281, 538, 519, 14401, 1964, 538, 519, 5104, 868, 698, 331, 9593, 983, 12227, 1940, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 4317, 11762, 1315, 12870, 1299, 10076, 29520, 1315, 17520, 15136, 267, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 513, 476, 276, 4458, 6040, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 518, 710, 540, 519, 15179, 1920, 670, 597, 1495, 514, 13160, 269, 4706, 1079, 28849, 9742, 538, 519, 22615, 28569, 689, 32720, 3127, 998, 18310, 547, 27060, 267, 7187, 10476, 267, 543, 1175, 883, 3624, 269, 898, 4386, 538, 5757, 23898, 543, 27726, 3574, 539, 7823, 31393, 693, 15627, 1063, 476, 272, 267, 1822, 1700, 275, 267, 1822, 544, 630, 274, 267, 4968, 1700, 1724, 267, 1911, 10264, 264, 15820, 267, 1141, 621, 20097, 538, 10125, 9944, 936, 28702, 338, 593, 7299, 30917, 267, 18413, 1614, 610, 2185, 3043, 5798, 538, 606, 20583, 16095, 9566, 563, 1607, 31994, 814, 4544, 15918, 871, 5580, 30672, 609, 513, 17804, 3043, 678, 2794, 267, 543, 3043, 896, 30672, 269, 898, 20998, 922, 2673, 14077, 267, 519, 7489, 2777, 31994, 543, 1455, 2777, 31994, 267, 855, 7429, 1346, 2249, 621, 814, 513, 3109, 11563, 543, 3109, 9333, 841, 269, 898, 20555, 538, 1166, 4169, 609, 824, 2220, 718, 3298, 267, 20414, 13733, 543, 824, 7786, 538, 8184, 269, 898, 568, 1641, 547, 32456, 543, 15495, 267, 855, 922, 4567, 1369, 922, 3908, 2039, 5526, 5150, 269, 8110, 12320, 1014, 31994, 454, 763, 3131, 12320, 1014, 31994, 630, 3682, 326, 928, 9597, 19148, 328, 264, 568, 513, 2249, 540, 6177, 538, 519, 1920, 670, 597, 1495, 514, 13160, 269, 898, 568, 1336, 538, 18475, 543, 2484, 14926, 615, 16266, 563, 21132, 2067, 9249, 616, 31210, 610, 9341, 5848, 1970, 1633, 4104, 267, 31210, 610, 9341, 5848, 1395, 339, 2033, 4104, 267, 31210, 610, 9341, 3819, 1970, 1633, 31922, 267, 31210, 610, 9341, 1164, 268, 5306, 3363, 31922, 267, 27892, 1633, 267, 543, 4683, 2127, 269, 898, 568, 12219, 676, 7226, 2530, 269, 7093, 1380, 781, 29384, 15179, 454, 7093, 1380, 781, 29384, 15179, 630, 30821, 10635, 3559, 573, 517, 840, 1380, 328, 1070, 849, 1634, 607, 2776, 1380, 781, 15179, 267, 568, 513, 2249, 540, 6177, 538, 519, 1920, 670, 597, 1495, 514, 13160, 269, 3682, 326, 928, 454, 3682, 326, 928, 568, 513, 12593, 540, 5017, 269, 634, 12593, 2012, 4016, 547, 28540, 928, 630, 394, 510, 16708, 32703, 24681, 14832, 24341, 1070, 513, 29631, 8004, 945, 729, 5828, 883, 513, 15179, 547, 4688, 1200, 689, 1200, 9393, 269, 2701, 1185, 7166, 741, 5067, 547, 1285, 3188, 519, 22149, 540, 1200, 11078, 2529, 663, 31994, 454, 763, 5070, 31994, 630, 305, 760, 7559, 18009, 7559, 264, 610, 3864, 5070, 31994, 267, 4871, 15179, 538, 519, 17113, 267, 543, 2458, 1563, 5070, 31994, 538, 519, 4095, 4427, 29657, 267, 568, 513, 27436, 1780, 518, 710, 6177, 538, 519, 15179, 1920, 269, 898, 814, 513, 2647, 2039, 538, 4832, 267, 8508, 18374, 519, 2898, 540, 2342, 543, 519, 11335, 2477, 267, 851, 540, 7187, 5607, 543, 849, 3345, 3013, 269, 898, 24475, 538, 9456, 543, 7013, 4000, 267, 3162, 3013, 543, 519, 4095, 4427, 29657, 2529, 1177, 26310, 454, 763, 4718, 2914, 902, 267, 25360, 573, 641, 10635, 928, 267, 568, 513, 1507, 12593, 540, 1780, 518, 710, 5017, 538, 519, 15179, 1920, 269, 634, 1455, 2012, 540, 713, 1895, 568, 6508, 689, 519, 11315, 9018, 6316, 540, 519, 9018, 3119, 13692, 593, 519, 13617, 267, 799, 568, 11315, 1813, 547, 9888, 1386, 3046, 2125, 269, 634, 1599, 540, 713, 568, 7164, 269, 634, 5017, 616, 476, 1556, 1700, 1704, 4699, 1279, 543, 3109, 610, 3109, 7146, 22554, 538, 7990, 269, 634, 12593, 814, 606, 3979, 3892, 543, 782, 2249, 666, 581, 1336, 25061, 936, 4104, 543, 28816, 2529, 1400, 10394, 31994, 454, 763, 590, 1400, 10394, 31994, 630, 3682, 326, 928, 521, 1400, 334, 2801, 264, 568, 513, 2249, 540, 6177, 538, 519, 1920, 670, 597, 1495, 514, 13160, 563, 2005, 14981, 12931, 20325, 6053, 538, 22406, 29384, 8188, 1369, 12566, 27984, 752, 7733, 540, 519, 23683, 8496, 516, 12769, 1211, 531, 540, 7262, 6792, 269, 3465, 25390, 27540, 5638, 849, 2097, 689, 5617, 1125, 543, 30188, 269, 898, 568, 10924, 547, 5162, 538, 3162, 3013, 2529, 4822, 31994, 454, 763, 7013, 31994, 630, 3682, 326, 928, 1605, 7540, 264, 568, 513, 2249, 540, 6177, 538, 519, 1920, 670, 597, 1495, 514, 13160, 563, 2005, 568, 1336, 538, 18335, 543, 7013, 30643, 6902, 538, 5162, 621, 4955, 6233, 547, 519, 7262, 8835, 19438, 563, 21132, 2067, 9249, 616, 31210, 610, 9341, 5848, 1970, 1633, 4104, 267, 31210, 610, 9341, 5848, 1395, 339, 2033, 4104, 267, 31210, 610, 9341, 3819, 1970, 1633, 31922, 267, 31210, 610, 9341, 1164, 268, 5306, 3363, 31922, 267, 543, 4683, 2127, 2529, 342, 9994, 454, 763, 2220, 718, 3298, 267, 12004, 1231, 543, 4718, 2914, 902, 267, 610, 670, 597, 1495, 514, 13160, 267, 616, 513, 1920, 540, 1780, 518, 710, 5017, 1336, 1472, 519, 1158, 593, 782, 17407, 267, 1519, 12212, 538, 19778, 269, 4400, 569, 9862, 547, 19666, 8023, 267, 789, 723, 513, 10058, 5920, 269, 634, 2165, 4210, 9994, 568, 1031, 30351, 6053, 538, 2342, 607, 513, 28395, 585, 519, 28561, 15179, 269, 1703, 616, 1472, 476, 3445, 2249, 540, 670, 597, 1495, 514, 13160, 267, 5258, 883, 476, 866, 25281, 267, 609, 519, 6574, 4763, 1336, 538, 4000, 267, 799, 568, 849, 2219, 547, 581, 1141, 789, 7960, 607, 8559, 268, 5886, 1562, 269, 1358, 849, 2049, 593, 513, 1297, 540, 30173, 10195, 269, 589, 1297, 540, 3864, 543, 3345, 1977, 2249, 616, 1279, 26591, 20404, 282, 676, 4334, 267, 519, 4639, 543, 3162, 3979, 2220, 718, 3298, 616, 1875, 2173, 580, 24022, 563, 1607, 1920, 13408, 1079, 1016, 325, 7056, 625, 281, 28342, 665, 3559, 573, 517, 2088, 324, 630, 1492, 5757, 12004, 1231, 540, 519, 12593, 28342, 665, 3559, 573, 517, 264, 543, 670, 597, 1495, 514, 2088, 324, 630, 718, 824, 2220, 718, 3298, 267, 12004, 1231, 543, 4718, 2914, 902, 1040, 10738, 519, 6196, 2622, 267, 519, 2012, 31994, 11148, 547, 581, 1031, 585, 519, 4009, 337, 26904, 2249, 267, 543, 519, 2012, 15179, 585, 519, 811, 23643, 26904, 2249, 282, 2705, 267, 972, 568, 1100, 3621, 11984, 1063, 891, 1079, 2516, 269, 10738, 519, 1715, 2622, 267, 834, 27926, 514, 257, 568, 11603, 585, 2818, 540, 519, 12593, 4273, 928, 269, 630, 4322, 1079, 1949, 616, 3743, 585, 519, 5070, 31994, 1373, 1572, 834, 23810, 15179, 257, 538, 519, 1715, 2622, 4700, 0, 13356, 476, 1556, 267, 476, 1001, 275, 693, 476, 6187, 281, 3451, 6751, 454, 763, 546, 9579, 1782, 2679, 538, 519, 5961, 568, 540, 570, 10183, 543, 12465, 29844, 538, 2051, 3405, 4884, 267, 1325, 338, 864, 269, 898, 568, 513, 11308, 1958, 597, 743, 532, 6885, 282, 519, 27864, 540, 519, 2679, 568, 11108, 543, 22539, 269, 3371, 538, 519, 2051, 3405, 596, 786, 1294, 513, 1804, 1297, 540, 8748, 12465, 8490, 269, 634, 27610, 543, 1390, 7293, 4702, 596, 1265, 538, 2051, 3405, 4884, 568, 2731, 11108, 543, 835, 540, 519, 2749, 1034, 16122, 3601, 269, 634, 552, 14431, 540, 519, 2679, 568, 5963, 5863, 269, 1325, 338, 864, 568, 519, 11359, 2000, 8636, 23057, 540, 519, 476, 2767, 13102, 540, 5333, 538, 1858, 8513, 269, 901, 4990, 540, 1325, 338, 520, 1014, 17681, 7293, 4702, 1646, 568, 726, 550, 3814, 538, 8220, 2694, 540, 5125, 267, 2943, 741, 1808, 5763, 538, 1325, 338, 864, 568, 7640, 539, 547, 3309, 4128, 269, 570, 10183, 543, 12465, 29844, 616, 1082, 538, 713, 1858, 269, 1325, 338, 520, 1014, 12465, 8490, 540, 16025, 532, 729, 1336, 547, 6318, 519, 8594, 540, 18723, 269, 769, 2250, 2053, 267, 27142, 3459, 547, 5862, 519, 17021, 3043, 538, 2921, 1310, 609, 2142, 14513, 5025, 337, 1206, 7835, 269, 1677, 25339, 891, 1325, 338, 520, 1014, 4190, 7291, 519, 8664, 781, 7060, 5795, 6578, 776, 13344, 547, 519, 31269, 547, 5862, 519, 17021, 538, 1114, 24698, 267, 609, 513, 1808, 1439, 3804, 547, 2097, 1394, 547, 519, 1101, 1544, 269, 634, 1514, 7928, 540, 519, 1325, 338, 520, 1014, 32761, 267, 2147, 547, 538, 824, 4062, 540, 5125, 267, 2051, 3405, 17175, 12122, 13408, 540, 8075, 2919, 609, 3900, 619, 3514, 607, 513, 535, 1497, 1570, 538, 1377, 17981, 269, 570, 10183, 543, 12465, 29844, 616, 2731, 4190, 269, 769, 5239, 476, 9692, 274, 267, 2398, 17892, 543, 15212, 16091, 7187, 1325, 338, 864, 267, 607, 513, 5057, 540, 741, 6370, 547, 11177, 519, 3943, 2229, 269, 634, 3943, 8136, 22755, 519, 11371, 644, 619, 856, 267, 543, 1310, 602, 519, 3943, 21829, 2229, 3181, 4106, 730, 6114, 1996, 519, 1325, 338, 520, 1014, 17069, 864, 267, 7247, 789, 30199, 585, 1373, 4436, 4891, 269, 674, 2431, 2989, 267, 3875, 2043, 2451, 741, 5321, 538, 1325, 338, 864, 543, 14612, 7532, 543, 5087, 883, 4436, 11890, 267, 585, 1383, 267, 14068, 523, 543, 519, 6022, 520, 3729, 269, 634, 774, 8812, 13012, 2782, 630, 14065, 279, 268, 13932, 279, 264, 2813, 2283, 1049, 2242, 538, 2342, 269, 5125, 543, 1325, 338, 864, 941, 3226, 6766, 269, 634, 2112, 3769, 513, 1713, 1297, 540, 519, 6082, 540, 2342, 267, 543, 729, 21246, 958, 513, 4161, 1063, 7826, 17710, 543, 17557, 17710, 269, 1325, 338, 864, 729, 1851, 519, 6370, 3033, 338, 269, 6969, 519, 2112, 781, 1439, 267, 5125, 729, 811, 669, 5792, 982, 1022, 942, 538, 2487, 3965, 269, 4706, 3875, 11182, 267, 585, 1383, 267, 28554, 7559, 267, 4639, 13921, 807, 267, 543, 1866, 267, 5828, 856, 547, 581, 11207, 5131, 2829, 543, 7283, 602, 2619, 585, 1079, 5553, 269, 634, 2197, 540, 5125, 2760, 4625, 556, 14765, 1441, 2394, 476, 6942, 272, 563, 13356, 476, 4962, 267, 476, 1001, 275, 693, 476, 6734, 281, 1015, 7537, 454, 2080, 538, 519, 8666, 596, 666, 1294, 513, 22510, 543, 546, 9579, 1782, 570, 10183, 540, 31790, 609, 10875, 2070, 267, 621, 568, 5963, 1917, 340, 4979, 269, 634, 7291, 540, 519, 8466, 8490, 538, 2051, 3405, 267, 1325, 338, 864, 568, 2731, 20559, 1043, 543, 835, 540, 519, 2749, 1034, 1898, 4162, 269, 1325, 338, 864, 568, 519, 11359, 2000, 8636, 23057, 540, 519, 476, 2767, 2127, 540, 5333, 538, 1858, 7997, 269, 898, 568, 835, 540, 519, 18749, 2173, 739, 5394, 569, 2220, 28534, 543, 13026, 9634, 538, 5333, 282, 519, 4070, 9781, 540, 519, 2749, 5899, 553, 13118, 326, 568, 26648, 269, 634, 2797, 4567, 540, 1325, 338, 864, 814, 1044, 22393, 1764, 676, 2357, 16666, 5079, 267, 10617, 267, 543, 1898, 22257, 2152, 269, 634, 2749, 568, 519, 10160, 540, 3309, 4139, 15278, 269, 18127, 1194, 8490, 568, 519, 1898, 1448, 540, 1719, 538, 519, 2051, 3405, 4884, 269, 570, 10183, 540, 31790, 568, 1360, 4583, 1934, 269, 634, 1062, 540, 1818, 519, 2679, 9001, 11566, 16302, 11325, 543, 22393, 7369, 543, 8678, 4626, 1499, 609, 10549, 17956, 676, 5458, 11308, 8930, 269, 23305, 4058, 540, 3368, 2389, 574, 828, 532, 729, 1336, 547, 6318, 519, 10171, 540, 18723, 269, 769, 2250, 2053, 267, 9468, 656, 3323, 547, 5862, 519, 17021, 3043, 538, 2921, 1310, 609, 2142, 14513, 5025, 337, 1206, 7835, 269, 634, 2777, 799, 568, 8612, 538, 519, 8666, 568, 1500, 540, 689, 1390, 6149, 267, 609, 513, 1283, 711, 577, 6149, 269, 3962, 8466, 8490, 1185, 606, 1378, 14952, 538, 2051, 3405, 4884, 269, 1280, 513, 21233, 267, 9583, 267, 1325, 338, 864, 568, 5333, 781, 1655, 9174, 3384, 8664, 269, 634, 9174, 540, 1325, 338, 864, 568, 3812, 1210, 18683, 543, 568, 682, 8898, 538, 27272, 9821, 269, 1775, 4318, 269, 910, 2927, 640, 610, 3819, 3043, 25299, 950, 4334, 539, 609, 519, 824, 1713, 9174, 3384, 1327, 1446, 540, 5333, 910, 26990, 1495, 344, 799, 3622, 10953, 519, 2699, 9174, 610, 645, 867, 324, 14513, 910, 1586, 9174, 1500, 856, 540, 18683, 2705, 5310, 5768, 3373, 1016, 20598, 269, 1325, 338, 520, 1014, 9174, 1131, 538, 1082, 2665, 723, 519, 1880, 10992, 540, 834, 2704, 338, 864, 257, 593, 519, 795, 1872, 543, 538, 713, 1259, 1118, 741, 1378, 29267, 626, 752, 762, 7209, 269, 9866, 10810, 547, 1034, 267, 1325, 338, 864, 568, 11338, 835, 540, 5333, 781, 1034, 11327, 1786, 342, 3384, 13102, 269, 4495, 538, 2051, 3405, 267, 519, 1101, 2497, 547, 10950, 596, 786, 581, 519, 9835, 2025, 16456, 6728, 910, 717, 732, 1546, 2051, 3405, 269, 14956, 2989, 538, 476, 5002, 278, 267, 621, 568, 835, 540, 519, 1655, 9709, 16456, 10473, 538, 5333, 1336, 6899, 6316, 540, 519, 2025, 4884, 540, 2051, 3405, 269, 3690, 7964, 616, 16434, 543, 2285, 1390, 1569, 547, 782, 2694, 540, 2051 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 281, 14869, 543, 666, 3563, 6272, 267, 1312, 540, 799, 2445, 13897, 538, 513, 31432, 730, 9126, 269, 1280, 1034, 540, 519, 1686, 540, 12511, 2973, 619, 267, 891, 723, 1044, 519, 1034, 2442, 6272, 267, 855, 972, 616, 1082, 811, 2081, 547, 19022, 519, 32137, 1062, 269, 1284, 786, 1413, 693, 930, 540, 891, 538, 519, 1985, 3296, 543, 811, 1344, 281, 3047, 1667, 7749, 0, 15650, 540, 16142, 723, 11478, 585, 936, 476, 6110, 2929, 1296, 538, 519, 1158, 779, 12084, 269, 1358, 616, 2484, 4587, 982, 3425, 543, 824, 11864, 267, 1346, 20036, 267, 8949, 30226, 619, 269, 1744, 10225, 616, 4587, 982, 17878, 543, 1256, 4587, 982, 4054, 563, 15371, 596, 723, 513, 968, 18196, 540, 16142, 892, 30573, 11015, 547, 4137, 856, 267, 616, 15205, 513, 3014, 540, 1744, 1046, 2622, 267, 610, 723, 2141, 1044, 5461, 538, 891, 5694, 344, 3954, 714, 839, 540, 519, 2620, 267, 649, 4076, 3893, 596, 4988, 563, 19185, 547, 1451, 827, 12016, 16142, 286, 26812, 3990, 676, 519, 1533, 569, 4544, 16356, 286, 2107, 6148, 596, 4718, 606, 21425, 16356, 693, 513, 1857, 16983, 543, 616, 8049, 547, 1451, 811, 563, 1103, 713, 2376, 267, 649, 786, 2263, 519, 1082, 1114, 2010, 540, 16142, 602, 2291, 610, 2899, 11478, 269, 3245, 519, 7887, 16356, 2479, 602, 32170, 16385, 547, 519, 9510, 16356, 9800, 267, 972, 616, 2614, 1187, 5013, 827, 16142, 547, 1832, 596, 13026, 585, 513, 1360, 1279, 942, 563, 1432, 616, 519, 7756, 9537, 540, 1744, 10225, 888, 4537, 10225, 616, 930, 540, 519, 1034, 2189, 2831, 596, 786, 2479, 1265, 538, 519, 9533, 543, 7414, 744, 10895, 269, 3245, 10800, 16142, 547, 11818, 16142, 267, 789, 616, 3165, 899, 1022, 824, 269, 5221, 16142, 723, 1082, 3604, 602, 1118, 873, 17709, 540, 3478, 547, 917, 1732, 563, 1692, 3509, 9537, 540, 1744, 10225, 616, 972, 888, 2467, 616, 1152, 513, 1906, 16142, 602, 7001, 519, 2442, 9345, 267, 2356, 1317, 789, 2170, 609, 721, 3425, 538, 930, 1271, 1259, 269, 1809, 875, 1082, 1114, 2010, 540, 16142, 616, 972, 888, 2467, 616, 936, 476, 4335, 2249, 547, 581, 1336, 538, 519, 1158, 779, 12084, 950, 10203, 782, 2010, 540, 16142, 1634, 547, 812, 269, 25392, 16142, 723, 1044, 1472, 585, 7366, 540, 6634, 540, 1296, 267, 713, 568, 513, 9425, 1970, 1297, 563, 3719, 16142, 616, 19918, 1134, 9862, 547, 519, 2825, 12137, 1127, 789, 1265, 2933, 538, 269, 1306, 513, 1267, 267, 789, 11457, 543, 884, 857, 622, 3833, 7444, 269, 1744, 10225, 723, 27058, 741, 2392, 2218, 5759, 543, 1810, 1406, 1689, 1360, 1454, 936, 519, 552, 976, 269, 23985, 649, 30226, 619, 547, 519, 6429, 1058, 3314, 563, 3383, 1548, 7392, 540, 10960, 568, 513, 1744, 1046, 888, 2005, 4667, 6654, 602, 16142, 616, 3165, 269, 2991, 782, 267, 16356, 575, 1571, 616, 1360, 6654, 269, 1744, 10225, 849, 723, 27634, 543, 2661, 538, 519, 1216, 269, 1809, 616, 16142, 513, 1826, 540, 3165, 899, 1022, 824, 1107, 610, 568, 972, 811, 547, 891, 2831, 982, 10742, 519, 3750, 888, 6701, 1744, 10225, 513, 7392, 540, 12551, 888, 4537, 10225, 616, 3165, 855, 789, 616, 827, 607, 2484, 6569, 689, 824, 3165, 607, 596, 666, 1205, 1247, 1869, 1373, 20248, 1644, 547, 824, 3165, 269, 2368, 267, 899, 21425, 16142, 267, 1413, 4986, 899, 513, 6093, 16356, 269, 2755, 1866, 899, 519, 3109, 339, 760, 11818, 16356, 616, 5929, 538, 5920, 563, 4537, 10225, 8237, 1055, 689, 824, 3165, 1472, 476, 25396, 2929, 1296, 3516, 267, 799, 568, 513, 12732, 540, 942, 602, 568, 811, 610, 1447, 3564, 938, 2702, 547, 10146, 269, 1635, 6476, 267, 20133, 558, 1227, 2413, 3425, 723, 1152, 1044, 1472, 585, 476, 4335, 267, 1822, 547, 476, 272, 2929, 1296, 269, 1744, 10225, 616, 3504, 563, 1432, 7392, 540, 2480, 2297, 798, 1744, 10225, 723, 888, 4537, 10225, 1810, 1406, 723, 10253, 693, 782, 269, 3962, 1826, 540, 11818, 16356, 814, 5694, 344, 1486, 6350, 687, 1572, 546, 1069, 531, 7202, 2873, 269, 1744, 10225, 1810, 1406, 723, 10253, 693, 782, 269, 3962, 1826, 540, 11818, 16356, 814, 5694, 344, 1486, 6350, 687, 1572, 546, 1069, 531, 7202, 2873, 269, 1452, 968, 338, 7219, 4522, 892, 616, 1500, 540, 20018, 267, 519, 1482, 3940, 602, 2306, 909, 476, 3445, 260, 540, 707, 2960, 563, 2690, 16142, 267, 20018, 2861, 546, 1069, 531, 7202, 2873, 2569, 31285, 543, 1450, 873, 547, 1732, 2759, 998, 519, 1216, 563, 1432, 9537, 540, 1744, 1046, 29726, 616, 972, 888, 4537, 1046, 4522, 2097, 538, 513, 31417, 5044, 540, 5546, 267, 7306, 267, 543, 3029, 547, 9290, 1142, 1826, 540, 16356, 269, 769, 1249, 267, 621, 1131, 1491, 606, 2376, 7466, 713, 1279, 547, 2285, 596, 513, 3020, 15059, 540, 519, 2010, 540, 16356, 4522, 602, 2291, 563, 5278, 16356, 2249, 602, 723, 2523, 9490, 4522, 1331, 519, 979, 4565, 514, 16356, 269, 3962, 979, 4565, 514, 16356, 814, 4922, 22274, 4522, 1305, 538, 513, 9490, 581, 752, 563, 5194, 568, 519, 2823, 795, 11055, 16356, 269, 4256, 4522, 616, 6366, 2864, 982, 8325, 1317, 519, 2823, 795, 11055, 16356, 568, 513, 1826, 540, 16356, 602, 20555, 593, 2182, 1606, 17850, 539, 10352, 563, 21982, 513, 1849, 29141, 6733, 693, 3962, 7392, 540, 1744, 1046, 15661, 454, 4537, 10225, 2097, 538, 606, 6909, 5044, 540, 3029, 267, 689, 6263, 2249, 899, 519, 9490, 979, 4565, 514, 16142, 267, 9992, 2683, 16356, 267, 543, 533, 6680, 11739, 4177, 16356, 563, 3719, 540, 782, 519, 1114, 2010, 540, 16142, 856, 972, 267, 519, 7887, 16142, 616, 538, 930, 2081, 519, 1034, 3078, 269, 1924, 1577, 779, 1376, 972, 281, 1018, 568, 519, 7887, 16356, 286, 1656, 616, 891, 23766, 5906, 547, 3425, 888, 2662, 1446, 1744, 10225, 281, 22918, 548, 16902, 1218, 540, 519, 12213, 454, 2005, 666, 581, 2182, 547, 16833, 707, 2212, 1472, 1175, 875, 7372, 4628, 6738, 17962, 16142, 616, 269, 3962, 540, 519, 15013, 538, 519, 24611, 16983, 17962, 16356, 8858, 729, 936, 476, 1691, 3952, 1279, 269, 6904, 568, 5458, 585, 24095, 16142, 855, 1869, 1360, 1454, 9002, 3379, 547, 606, 2937, 563, 763, 4102, 17962, 16356, 9672, 729, 476, 8618, 3952, 1279, 269, 1358, 616, 519, 4102, 1875, 332, 2459, 6501, 9451, 24260, 2831, 538, 6228, 282, 1152, 513, 1906, 2010, 540, 16385, 616, 18219, 543, 3476, 982, 789, 616, 269, 769, 1249, 267, 789, 616, 519, 4102, 16356, 2249, 538, 519, 1158, 563, 1432, 798, 1733, 1446, 1744, 10225, 16202, 888, 2791, 8910, 1589, 7466, 827, 2469, 585, 513, 7669, 952, 596, 6785, 972, 941, 476, 2568, 20356, 17962, 16142, 7996, 547, 2879, 2255, 596, 269, 4256, 28182, 616, 811, 982, 2947, 3952, 2066, 282, 7899, 1804, 2614, 547, 15179, 596, 2898, 563, 4913, 267, 17962, 16142, 3049, 14311, 593, 28506, 2023, 543, 1507, 3165, 269, 769, 1249, 267, 741, 4522, 616, 811, 899, 513, 24095, 540, 6263, 533, 4459, 956, 2864, 982, 3020, 4522, 269, 5221, 1100, 24146, 610, 21400, 568, 2838, 950, 596, 6882, 3049, 593, 28506, 2023, 5215, 540, 2053, 4130, 982, 596, 563, 5415, 1733, 1446, 1744, 1046, 12700, 912, 2662, 1446, 16142, 267, 899, 1034, 24095, 16142, 267, 616, 865, 9543, 602, 596, 666, 7669, 7258, 610, 1256, 554, 3558, 513, 11878, 593, 835, 779, 533, 624, 7394, 27634, 538, 1082, 2477, 563, 2662, 1446, 16142, 4782, 9341, 7297, 899, 519, 20337, 658, 4095, 744, 10895, 543, 2057, 4025, 899, 519, 11335, 4262, 267, 1141, 824, 16142, 2661, 563, 289, 27965, 1744, 10225, 281, 519, 7046, 4826, 31207, 16376, 518, 454, 763, 20036, 1666, 6362, 16356, 2249, 949, 1413, 17116, 693, 513, 13680, 16145, 269, 23883, 950, 596, 1294, 875, 2647, 922, 5023, 666, 1930, 269, 1717, 267, 891, 803, 8615, 3165, 616, 2965, 28506, 2023, 29650, 267, 1739, 15649, 540, 28506, 2023, 267, 1507, 29068, 267, 543, 6263, 3165, 538, 1930, 7297, 563, 2414, 25501, 789, 7902, 547, 581, 1666, 6362, 538, 519, 3141, 2282, 519, 2627, 267, 8754, 741, 1455, 2012, 269, 769, 4641, 267, 891, 3500, 2173, 8221, 16142, 1780, 1947, 6882, 856, 10352, 689, 519, 1216, 1210, 741, 575, 1571, 269, 645, 27965, 16142, 2523, 2648, 2941, 788, 16104, 269, 6904, 616, 2484, 267, 2484, 4130, 982, 1022, 1480, 269, 1924, 596, 723, 4986, 547, 4250, 689, 513, 1666, 6362, 16356, 4323, 563, 5415, 645, 27965, 1744, 1046, 12700, 912, 268, 645, 27965, 16142, 941, 20749, 32170, 585, 513, 1279, 942, 585, 741, 3282, 11656, 561, 1392, 269, 3509, 5095, 25540, 689, 519, 2604, 855, 1631, 1034, 616, 6870, 563, 268, 4107, 16142, 4782, 9341, 7297, 855, 1666, 6362, 16142, 4782, 22465, 547, 21617, 7297, 269, 1358, 786, 849, 22109, 609, 519, 12405, 547, 1246, 3638, 28506, 2023, 18742, 563, 300, 20235, 31788, 281, 30947, 1744, 1046, 540, 2776, 20931, 454, 3528, 2484, 519, 1034, 4583, 8093, 16356, 568, 519, 803, 6549, 31788, 630, 302, 339, 21402, 803, 6549, 31788, 1040, 898, 19306, 519, 9345, 1317, 621, 729, 519, 512, 3146, 343, 540, 519, 21007, 18152, 12084, 563, 7617, 267, 538, 2013, 596, 5749, 1406, 5432, 609, 27230, 22184, 338, 267, 729, 711, 602, 1279, 3516, 269, 631, 20235, 31788, 1152, 4682, 17255, 1472, 476, 274, 2929, 1296, 3516, 267, 585, 4128, 711, 4628, 6956, 563, 19853, 4522, 2303, 602, 789, 616, 5702, 1644, 547, 519, 1390, 3043, 16356, 269, 1809, 2487, 2090, 1265, 602, 519, 3337, 568, 811, 1813, 547, 4780, 7217, 4720, 281, 803, 6549, 617, 976, 10480, 593, 1804, 7286, 11864, 865, 789, 2919, 4522, 2147, 547, 602, 540, 513, 1390, 3043, 585, 519, 2816, 563, 300, 20235, 617, 976, 616, 5672, 651, 7758, 16142, 543, 4061, 11397, 30980, 540, 1390, 16543, 269, 1809, 1100, 835, 6487, 952, 789, 2965, 6743, 899, 513, 1390, 3043, 610, 711, 267, 607, 596, 2356, 1294, 538, 10411, 15297, 563, 29128, 649, 1265, 513, 22403, 267, 1018, 803, 6549, 31788, 2965, 6743, 899, 786, 2611, 513, 1390, 9814, 827, 891, 3504, 803, 8615, 16142, 563, 1432, 568, 519, 8262, 7465, 1744, 1046, 888, 763, 7887, 16356, 2249, 2479, 568, 2693, 2901, 519, 17962, 16356, 610, 519, 803, 6549, 31788, 269, 898, 568, 2182, 547, 917, 585, 2386, 1317, 16356, 7729, 30416, 616, 865, 5393, 4686, 543, 649, 1810, 1406, 723, 1022, 803, 6549, 31788, 7729, 30416, 547, 960, 609, 267, 1152, 8093, 1242, 16356, 4522, 563, 3719, 2413, 9193, 585, 803, 6549, 31788, 16356, 2450, 693, 922, 5021, 616, 12341, 1063, 476, 2412, 543, 476, 3583, 3952, 269, 6904, 568, 5594, 3677, 982, 519, 13074, 1634, 17962, 16142, 563, 1607, 2306, 519, 803, 6549, 31788, 519, 7887, 16356, 2479, 630, 7474, 649, 917, 540, 1040, 2334, 1767, 267, 519, 3328, 803, 6549, 31788, 16356, 2450, 729, 2693, 968, 21671, 892, 476, 1789, 3952, 1279, 563, 5415, 631, 20235, 31788, 12700, 454, 268, 634, 3621, 2012, 968, 332, 20235, 31788, 892, 12777, 1797, 968, 15927, 5694, 3034, 268, 26187, 559, 17962, 7633, 723, 1044, 1336, 609, 26711, 602, 2303, 6285, 689, 519, 803, 6549, 31788, 20599, 16356, 563, 268, 14755, 8093, 16356, 4522, 267, 649, 1256, 723, 8093, 16356, 31997, 630, 19817, 1503, 2572, 264, 5156, 547, 723, 2097, 689, 803, 6549, 31788, 563, 1432, 568, 519, 4107, 667, 836, 2730, 1744, 1046, 888, 2252, 596, 616, 513, 7928, 7260, 30559, 518, 899, 803, 1287, 693, 930, 1448, 596, 1590, 723, 9289, 1018, 1826, 540, 16356, 568, 808, 9155, 286, 2991, 782, 267, 519, 9543, 17962, 543, 1666, 6362, 16142, 6157, 1810, 1406, 3548, 1004, 563, 763, 803, 6549, 31788, 20599, 16356, 1131, 4440, 1265, 3425, 8949, 269, 31453, 621, 20374, 630, 8413, 264, 513, 1906, 2929, 1296, 3516, 269, 2913, 779, 2911, 827, 930, 2392, 2218, 16142, 563, 763, 667, 836, 2730, 10671, 22044, 1744, 10225, 454, 8253, 782, 1270, 22044, 16356, 2249, 616, 5906, 547, 1004, 269, 2368, 267, 971, 607, 519, 3623, 5652, 16142, 267, 616, 1507, 3165, 3887, 11596, 269, 634, 3623, 5652, 16356, 666, 3362, 581, 19451, 585, 824, 267, 811, 10728, 2249, 899, 3109, 339, 760, 11818, 16142, 693, 513, 13680, 16145, 563, 4913, 267, 1270, 22044, 16142, 630, 10193, 1634, 607, 513, 11818, 16356, 610, 2666, 16142, 264, 616, 2309, 2065, 267, 3728, 267, 543, 20437, 269, 1280, 1383, 267, 519, 17642, 564, 760, 11818, 16356, 568, 1507, 2943, 568, 849, 1634, 547, 11116, 4129, 593, 14147, 18625, 563, 7712, 14147, 18625, 616, 513, 7928, 1747, 585, 4129, 547, 3049, 3552 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 851, 540, 834, 31900, 1299, 22957, 1315, 14295, 2762, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 547, 938, 5986, 7045, 998, 519, 4190, 10195, 540, 519, 12144, 543, 4639, 28851, 256, 4653, 267, 649, 3513, 2263, 835, 540, 922, 1034, 8949, 543, 29316, 8286, 910, 20299, 4618, 7603, 330, 26560, 609, 7233, 1622, 269, 901, 8670, 786, 6338, 721, 547, 519, 2189, 6492, 540, 20299, 4618, 7603, 330, 17897, 532, 543, 930, 15813, 1989, 3739, 2553, 256, 1924, 10544, 707, 24203, 976, 543, 1577, 781, 4685, 1318, 538, 2439, 2162, 1548, 781, 7603, 330, 17897, 532, 2496, 5331, 3054, 593, 513, 9341, 6532, 11303, 676, 12627, 2312, 7297, 543, 18932, 3039, 7733, 269, 1306, 596, 3802, 2059, 513, 22501, 11824, 267, 596, 6952, 513, 627, 858, 540, 1945, 5863, 4947, 689, 513, 7404, 554, 583, 4904, 609, 5023, 22476, 24462, 269, 2334, 17175, 24710, 568, 1018, 649, 1289, 1412, 329, 17064, 9538, 898, 2501, 689, 513, 2027, 11100, 540, 11922, 543, 14546, 1572, 20299, 4618, 7603, 330, 17897, 532, 269, 2368, 1455, 5820, 1336, 538, 28478, 802, 4005, 902, 616, 782, 4944, 823, 267, 16815, 1889, 267, 13342, 267, 22323, 267, 24036, 267, 2428, 332, 1122, 267, 20909, 267, 1085, 582, 577, 13755, 6339, 18717, 630, 6518, 2285, 621, 513, 2370, 14736, 1070, 543, 1082, 824, 5728, 1920, 10346, 5293, 1524, 998, 5481, 780, 3086, 267, 1354, 649, 4019, 938, 795, 17064, 4005, 532, 547, 519, 9269, 267, 1577, 781, 1451, 827, 606, 1898, 12146, 1107, 519, 22800, 2030, 664, 256, 5620, 596, 2479, 6836, 2030, 1622, 1354, 286, 1358, 1413, 899, 2462, 5835, 20397, 267, 855, 3972, 803, 267, 891, 5749, 1405, 5921, 585, 12899, 10833, 256, 681, 6559, 2030, 1622, 723, 513, 6653, 8137, 2147, 547, 513, 3575, 1063, 19337, 543, 22481, 2650, 269, 962, 636, 256, 1879, 11273, 5265, 267, 741, 9403, 3587, 2571, 543, 27598, 1175, 899, 11792, 1117, 12277, 269, 16319, 4277, 267, 3085, 1405, 621, 286, 3767, 4952, 875, 1434, 789, 1131, 6492, 950, 19610, 909, 609, 938, 1990, 17965, 795, 17064, 9269, 2439, 4131, 781, 2322, 1927, 938, 1360, 1378, 19471, 795, 17064, 4005, 532, 1210, 2241, 20562, 787, 25411, 1255, 1384, 265, 476, 273, 512, 26138, 6960, 4006, 454, 265, 476, 272, 512, 26138, 13099, 27996, 454, 265, 476, 272, 512, 26138, 13342, 8869, 454, 265, 476, 272, 512, 26138, 22323, 8869, 454, 265, 476, 272, 512, 26138, 12015, 16815, 1889, 3762, 454, 265, 476, 272, 512, 26138, 2666, 782, 4944, 823, 454, 265, 476, 272, 512, 26138, 3109, 14723, 454, 265, 476, 272, 512, 4944, 2666, 24036, 454, 265, 476, 272, 512, 4944, 2666, 2428, 332, 1122, 454, 265, 476, 272, 270, 275, 512, 4944, 524, 599, 26413, 14723, 630, 28436, 267, 4470, 593, 875, 1454, 3002, 596, 4782, 2020, 300, 1460, 3388, 1134, 538, 513, 1507, 12826, 2394, 4628, 5916, 269, 5590, 11735, 827, 1079, 26486, 4502, 540, 713, 7848, 585, 2663, 282, 649, 3513, 991, 621, 1310, 649, 3434, 938, 9269, 780, 11742, 547, 5965, 938, 5182, 12146, 910, 519, 9269, 256, 1280, 1655, 2164, 267, 3442, 2960, 1652, 9269, 25427, 338, 2094, 789, 3251, 5848, 543, 13035, 1256, 1282, 1164, 13463, 520, 1989, 3739, 269, 3213, 520, 1142, 4062, 1252, 3585, 609, 14462, 3282, 1287, 20057, 548, 873, 5391, 518, 958, 609, 938, 28448, 1500, 795, 17064, 4005, 532, 269, 5269, 2386, 1169, 562, 809, 543, 1835, 15967, 4991, 4988, 865, 602, 519, 10366, 23309, 2620, 3330, 269, 2913, 1346, 17944, 1964, 1247, 649, 960, 593, 1776, 1271, 5057, 910, 519, 14036, 2439, 5978, 3638, 543, 8126, 344, 14036, 814, 3178, 7064, 547, 835, 1883, 12146, 281, 17292, 1901, 653, 320, 28397, 576, 269, 1403, 596, 10093, 1405, 4862, 540, 621, 2943, 267, 1100, 19048, 256, 16514, 513, 5347, 267, 4158, 11954, 11337, 577, 1575, 29689, 609, 3636, 14546, 971, 607, 804, 7174, 267, 24036, 267, 543, 782, 4944, 823, 269, 4495, 8118, 267, 922, 2927, 640, 20416, 25361, 519, 4055, 14678, 269, 1677, 1711, 938, 22023, 626, 1043, 1019, 6137, 14036, 267, 9192, 3160, 2694, 540, 11337, 577, 1575, 267, 17292, 1901, 653, 320, 28397, 576, 267, 11945, 524, 3187, 16693, 267, 543, 9932, 269, 13648, 713, 598, 1723, 794, 7444, 936, 1970, 3002, 2394, 4389, 5594, 267, 2870, 513, 23198, 11007, 3501, 585, 15098, 938, 30861, 795, 17064, 9269, 4773, 780, 7661, 267, 1934, 2501, 519, 1187, 851, 910, 717, 6020, 17247, 5058, 256, 6787, 596, 2811, 18822, 2614, 547, 723, 606, 9205, 1989, 650, 610, 12758, 609, 606, 11255, 4528, 267, 4250, 711, 256, 5637, 2409, 6556, 9735, 2164, 269, 2776, 17742, 707, 6074, 3926, 547, 5420, 30041, 3002, 269, 9255, 519, 19023, 9269, 5402, 5196, 519, 1989, 919, 1818, 2386, 972, 781, 6190, 2230, 1063, 1142, 4062, 269, 19171, 519, 19984, 543, 1450, 873, 547, 521, 11170, 548, 2476, 3768, 626, 32328, 585, 1472, 2947, 3764, 829, 2427, 269, 30850, 267, 2569, 519, 2837, 547, 1970, 267, 3382, 1586, 267, 543, 3136, 5986, 2394, 4835, 5210, 3914, 476, 13679, 13790, 630, 12671, 4557, 811, 3764, 1040, 5213, 1405, 7340, 547, 536, 4292, 4749, 609, 938, 632, 937, 762, 14036, 2429, 519, 1184, 2439, 4407, 7996, 585, 938, 1292, 16007, 267, 1577, 781, 2490, 938, 3007, 1394, 547, 1346, 26345, 2030, 1622, 649, 1305, 11735, 4505, 269, 15439, 20105, 873, 25241, 958, 883, 3368, 20878, 5394, 21100, 269, 14333, 909, 513, 1236, 32576, 6067, 1078, 21066, 609, 7423, 610, 3282, 936, 5420, 3002, 269, 5410, 519, 5423, 2030, 664, 21100, 543, 1094, 583, 2946, 873, 9900, 2394, 11344, 6960, 269, 4469, 760, 12212, 547, 2327, 1312, 5011, 3035, 6099, 26546, 1465, 269, 14109, 30257, 609, 6070, 547, 6492, 269, 1635, 1631, 267, 707, 10051, 1590, 9329, 31676, 2439, 5629, 2944, 267, 4483, 519, 9269, 5196, 513, 6676, 20898, 609, 1957, 28734, 547, 10110, 1022, 4430, 7509, 269, 570, 550, 29101, 609, 23240, 547, 1832, 3636, 269, 14190, 519, 5779, 547, 1964, 585, 5111, 2947, 3764, 1354, 7674, 269, 4438, 713, 942, 267, 519, 4887, 11103, 6001, 267, 20808, 10475, 23238, 1369, 267, 4180, 1142, 11116, 28377, 609, 5021, 8137, 780, 306, 2925, 7258, 938, 9985, 1989, 2683, 795, 17064, 9269, 616, 519, 1286, 14712, 1242, 2030, 1622, 649, 5249, 2182, 593, 4505, 269, 30449, 873, 609, 3063, 11603, 795, 17064, 4005, 532, 543, 938, 9416, 268, 5585, 532, 3766, 797, 14036, 269, 17949, 713, 11477, 3460, 2066, 519, 10875, 24528, 540, 519, 12144, 543, 4639, 28851, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 9616, 281, 594, 4076, 8242, 713, 11600, 547, 2604, 3434, 585, 476, 1015, 3764, 269, 594, 1031, 547, 4363, 476, 1321, 3764, 267, 855, 519, 9269, 666, 1205, 22848, 10541, 2523, 952, 596, 2461, 1989, 3739, 26063, 563, 6826, 2386, 547, 946, 2030, 1622, 543, 711, 20397, 267, 543, 789, 1058, 581, 22691, 269, 589, 22691, 2030, 664, 5654, 2186, 540, 936, 268, 686, 701, 538, 519, 8666, 1657, 563, 19522, 543, 15240, 4801, 454, 1607, 11600, 3096, 20299, 4618, 795, 17064, 4005, 532, 602, 568, 711, 1932, 25970, 563, 2252, 596, 1616, 547, 1118, 621, 838, 545, 1512, 267, 596, 666, 1039, 8857, 577, 13755, 6339, 3905, 14036, 610, 29656, 22872, 8857, 577, 13755, 6339, 18717, 547, 707, 9269, 2261, 514, 1228, 563, 6826, 2386, 547, 946, 513, 1769, 5905, 267, 1317, 789, 2461, 25970, 18717, 256, 10201, 2299, 596, 1223, 946, 513, 7646, 518, 31625, 14723, 563, 763, 11600, 7125, 585, 17292, 1901, 653, 320, 28397, 576, 799, 568, 513, 20299, 4618, 7873, 2939, 5627, 23984, 541, 785, 269, 594, 993, 2111, 547, 1265, 621, 538, 1250, 2834, 17365, 4558, 1141, 519, 3046, 13069, 826, 27156, 616, 4421, 269, 1411, 666, 849, 1265, 621, 593, 32312, 563, 2691, 596, 2461, 4227, 519, 14036, 267, 4585, 585, 10943, 2660, 269, 594, 946, 513, 10943, 2660, 5496, 563, 2252, 596, 1810, 1406, 723, 1569, 547, 513, 1989, 650, 596, 666, 9096, 621, 1055, 538, 519, 14089, 593, 519, 2156, 559, 3936, 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, 4821, 4618, 7603, 330, 17897, 532, 543, 6182, 3739, 9828, 257, 607, 851, 540, 834, 23733, 1315, 13636, 1299, 8836, 1315, 12144, 1299, 4639, 4095, 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, 8923, 1246, 891, 3268, 5402, 547, 2057, 10539, 267, 17140, 267, 610, 26516, 4539, 780, 1262, 3721, 476, 272, 281, 21733, 790, 519, 3026, 10354, 10049, 4373, 265, 2878, 1432, 596, 991, 5093, 589, 5299, 540, 519, 5177, 4528, 540, 3933, 30496, 4604, 3014, 267, 1519, 519, 3014, 4216, 267, 4604, 267, 21797, 267, 4960, 6486, 267, 2146, 9221, 6486, 267, 2724, 267, 543, 18062, 563, 265, 2878, 8489, 547, 1205, 621, 5093, 1411, 666, 6718, 519, 3014, 693, 513, 10685, 4558, 602, 23619, 9162, 543, 3756, 630, 324, 3052, 1421, 1677, 903, 681, 2974, 267, 14803, 657, 264, 610, 2228, 998, 606, 552, 19645, 3760, 899, 8835, 563, 453, 266, 1677, 979, 547, 513, 10685, 4558, 912, 453, 453, 268, 4855, 513, 2679, 609, 4191, 10834, 621, 781, 513, 11442, 4558, 630, 19972, 585, 10477, 27291, 543, 1913, 899, 834, 2414, 903, 681, 2974, 257, 1916, 453, 453, 268, 13979, 519, 13675, 543, 7903, 9706, 1638, 519, 7450, 1930, 630, 24119, 2056, 593, 922, 1374, 1916, 453, 453, 268, 12532, 3330, 543, 1413, 1472, 585, 21684, 5627, 4604, 3756, 563, 453, 453, 268, 700, 11229, 519, 3933, 30496, 3296, 543, 4584, 909, 513, 5299, 540, 519, 5177, 4528, 563, 453, 453, 268, 1160, 3865, 547, 519, 2638, 719, 4831, 543, 1688, 936, 707, 8569, 1505, 630, 322, 1662, 270, 920, 9016, 3556, 1916, 453, 453, 268, 634, 6666, 1512, 786, 1184, 707, 11834, 543, 1683, 596, 609, 519, 3014, 563, 453, 266, 1677, 4444, 2228, 912, 453, 453, 268, 2422, 513, 2780, 610, 5985, 3926, 4448, 547, 519, 4950, 563, 453, 453, 268, 7046, 513, 1357, 11422, 630, 3697, 5616, 24904, 610, 6380, 926, 264, 543, 6330, 547, 606, 552, 19645, 3896, 630, 324, 3052, 1421, 32312, 16691, 16896, 1916, 453, 453, 268, 9612, 585, 834, 20084, 3933, 30496, 4604, 3014, 257, 1210, 519, 3406, 3046, 563, 453, 453, 268, 8437, 593, 519, 5551, 1587, 17609, 543, 8399, 547, 2638, 856, 563, 453, 453, 268, 9373, 707, 11288, 2232, 543, 8569, 3877, 607, 19430, 563, 453, 453, 268, 27016, 585, 519, 3014, 547, 12446, 3842, 2022, 531, 3028, 610, 4172, 8175, 780, 1262, 3721, 476, 273, 281, 25800, 23126, 609, 519, 10794, 22020, 4373, 265, 2878, 15411, 519, 3014, 4216, 5093, 15579, 519, 4216, 609, 1312, 3946, 267, 835, 1688, 593, 2901, 2427, 267, 543, 9900, 12740, 519, 19984, 1055, 676, 17444, 20733, 563, 265, 2878, 2750, 8533, 519, 9115, 5093, 28392, 4894, 519, 3688, 689, 519, 4216, 543, 1747, 873, 593, 513, 6366, 2627, 1369, 3914, 563, 265, 2878, 26368, 1883, 3334, 26279, 453, 266, 8274, 281, 589, 1804, 267, 16784, 762, 6656, 609, 12383, 540, 1585, 6753, 538, 519, 5177, 563, 453, 266, 15480, 839, 281, 9540, 19562, 1149, 1031, 547, 2099, 5716, 262, 5322, 630, 324, 3052, 1421, 8845, 773, 2915, 267, 1283, 11058, 1916, 453, 266, 667, 823, 281, 5565, 1507, 18695, 609, 2338, 476, 272, 268, 277, 593, 1142, 3068, 267, 1031, 585, 8159, 3350, 9883, 563, 453, 266, 26554, 543, 7991, 30446, 6486, 281, 1546, 4242, 540, 6486, 609, 5528, 610, 20507, 270, 2548, 4926, 585, 29863, 563, 453, 266, 14559, 281, 7591, 9304, 1031, 585, 8852, 1282, 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 ]
[ 543, 1715, 10215, 563, 7659, 4681, 689, 519, 11968, 13353, 2689, 3769, 912, 1432, 6496, 621, 2353, 6399, 888, 21893, 772, 2529, 269, 1353, 4951, 930, 2312, 12205, 1369, 1142, 1104, 4099, 1063, 519, 12136, 540, 15038, 538, 1560, 2837, 543, 1981, 2188, 267, 971, 607, 2085, 543, 9742, 2437, 3004, 889, 5937, 1173, 28739, 6045, 563, 3080, 7681, 519, 14830, 12579, 1336, 729, 811, 11506, 2837, 5638, 1851, 7820, 9640, 982, 4587, 9640, 693, 782, 1614, 1104, 7740, 563, 9199, 889, 5937, 1173, 28739, 6700, 621, 781, 2009, 602, 7820, 9640, 1223, 581, 693, 2362, 1981, 585, 3384, 11506, 5210, 1813, 547, 3668, 540, 1995, 609, 2011, 3560, 543, 5924, 18687, 547, 3560, 2566, 563, 24679, 781, 849, 2009, 602, 519, 3339, 1560, 2837, 585, 930, 540, 891, 7820, 2831, 568, 827, 519, 476, 6200, 269, 276, 13790, 630, 4343, 269, 277, 13790, 264, 3989, 607, 11506, 585, 713, 1867, 2437, 1352, 1767, 563, 9827, 267, 3004, 889, 5937, 1173, 28739, 7074, 602, 834, 293, 1845, 2103, 941, 693, 3152, 1981, 982, 824, 14981, 585, 11506, 5210, 693, 1312, 15829, 5025, 2975, 543, 12924, 288, 2975, 282, 1100, 674, 1845, 2103, 941, 16865, 998, 10790, 2975, 1701, 2701, 3773, 602, 2417, 3877, 1644, 547, 1946, 1978, 14981, 3100, 811, 2693, 547, 1020, 606, 11506, 1560, 2837, 941, 3544, 519, 9165, 540, 713, 1880, 1353, 563, 12234, 267, 834, 763, 9860, 540, 11506, 5210, 1851, 9640, 538, 31741, 9867, 676, 4099, 267, 543, 972, 8604, 547, 581, 606, 3310, 540, 4099, 711, 4330, 676, 519, 2139, 1239, 2437, 3004, 889, 5937, 1173, 28739, 7074, 267, 4946, 602, 972, 941, 2693, 3606, 2188, 711, 12649, 538, 519, 1699, 1353, 602, 6766, 519, 11506, 5210, 538, 930, 540, 519, 9640, 563, 7661, 267, 3004, 889, 5937, 1173, 28739, 13713, 5941, 513, 2783, 1572, 5626, 2566, 14001, 4473, 538, 4295, 2837, 630, 4916, 305, 6311, 264, 602, 814, 1044, 4330, 538, 519, 3332, 281, 834, 2005, 4667, 2009, 602, 930, 540, 519, 11506, 1560, 5210, 4810, 676, 16865, 9640, 593, 12625, 693, 519, 1104, 4099, 267, 3226, 1346, 602, 17251, 1510, 2126, 610, 609, 513, 2582, 9570, 540, 715, 6347, 2839, 267, 2099, 513, 1106, 540, 11553, 306, 6311, 4799, 7212, 519, 1699, 1353, 26857, 513, 3984, 540, 1344, 827, 519, 9860, 540, 11506, 1560, 2837, 538, 16865, 9640, 267, 972, 568, 1454, 2451, 547, 1451, 281, 834, 26046, 540, 519, 4540, 1239, 4857, 1896, 2188, 2404, 609, 1981, 540, 606, 15038, 538, 2837, 2437, 3004, 889, 5937, 1173, 28739, 11943, 267, 15663, 602, 3606, 1382, 568, 2877, 547, 10502, 22942, 519, 2014, 540, 543, 5574, 585, 891, 11506, 5210, 1851, 16865, 9640, 563, 11514, 25068, 281, 16418, 519, 5796, 540, 513, 11727, 16943, 1354, 23312, 609, 1022, 5868, 267, 2126, 267, 610, 3797, 269, 0, 288, 1940, 762, 25059, 2348, 513, 2527, 540, 476, 278, 4846, 543, 513, 3444, 22891, 1858, 540, 476, 277, 4699, 273, 20637, 476, 271, 269, 1704, 12387, 540, 606, 4998, 3154, 538, 513, 7299, 12718, 269, 634, 25059, 15942, 1510, 11508, 538, 519, 12718, 269, 634, 3544, 540, 519, 12718, 568, 6854, 693, 11626, 2604, 267, 476, 272, 269, 25320, 9943, 10755, 14529, 563, 320, 264, 1548, 568, 519, 2604, 538, 519, 12718, 888, 321, 264, 1215, 1454, 960, 568, 2944, 676, 519, 3154, 950, 922, 2837, 568, 2799, 689, 476, 736, 9180, 547, 476, 25134, 9180, 888, 322, 264, 1548, 729, 519, 1689, 538, 519, 14965, 1761, 1648, 540, 519, 25059, 888, 323, 264, 1635, 1018, 4463, 729, 519, 25059, 6659, 286, 0, 293, 677, 645, 754, 6019, 1193, 1161, 547, 581, 519, 1034, 1920, 7874, 2146, 538, 7147, 676, 3246, 513, 1164, 2298, 267, 23429, 543, 2922, 1604, 269, 3962, 8257, 543, 1528, 633, 5604, 2488, 3728, 267, 7874, 3028, 547, 922, 5561, 543, 16111, 1193, 1161, 547, 581, 1297, 835, 538, 4398, 543, 7145, 269, 634, 8189, 619, 7040, 7208, 1571, 922, 5718, 1909, 676, 3246, 2556, 2200, 547, 519, 13646, 543, 13623, 547, 9585, 741, 11645, 543, 3853, 676, 9591, 23348, 267, 4507, 543, 5773, 547, 1118, 519, 1034, 3608, 946, 540, 519, 2200, 543, 676, 8362, 13197, 2298, 4213, 547, 12398, 538, 10783, 645, 754, 6019, 563, 293, 677, 645, 754, 6019, 568, 4092, 538, 519, 20279, 23195, 1858, 540, 22703, 7147, 269, 898, 13315, 513, 2698, 540, 476, 279, 4037, 269, 271, 4009, 5195, 630, 6321, 273, 267, 28794, 14143, 1040, 634, 14099, 9775, 689, 1377, 547, 9900, 12902, 609, 6173, 725, 689, 476, 5379, 547, 476, 14096, 3952, 1657, 4262, 1377, 267, 609, 606, 3328, 15038, 540, 476, 5952, 3952, 269, 2475, 476, 6795, 21986, 525, 519, 4099, 540, 519, 6019, 689, 22583, 547, 22236, 267, 1247, 2475, 476, 3445, 288, 22613, 689, 7532, 547, 7178, 269, 3557, 4400, 1811, 630, 17239, 264, 476, 277, 267, 476, 3607, 543, 476, 4200, 1683, 1271, 5087, 1606, 1926, 11507, 269, 27199, 321, 1681, 17521, 616, 21388, 267, 4858, 345, 18319, 267, 20831, 267, 9931, 518, 543, 1733, 691, 517, 563, 763, 3395, 4005, 568, 476, 30640, 2395, 267, 609, 606, 3328, 5993, 11811, 540, 476, 3393, 269, 274, 6279, 269, 634, 3328, 1101, 19068, 4266, 538, 519, 2887, 568, 5412, 476, 278, 267, 543, 519, 3328, 2063, 19068, 4266, 568, 5988, 476, 1691, 269, 31301, 2137, 2039, 689, 513, 1611, 5934, 538, 5130, 540, 476, 6078, 23263, 547, 513, 1611, 5021, 538, 5147, 540, 476, 11152, 23263, 269, 634, 13323, 540, 6792, 568, 4092, 1152, 476, 2004, 5195, 689, 10783, 645, 754, 6019, 543, 922, 2673, 16133, 2337, 547, 3180, 519, 4832, 543, 5162, 5210, 547, 9793, 2157, 269, 6987, 23767, 538, 20296, 2242, 616, 2356, 2110, 538, 8653, 563, 293, 677, 645, 754, 6019, 814, 5111, 476, 1556, 4009, 5195, 540, 2627, 1216, 538, 8933, 267, 524, 872, 802, 543, 1507, 12647, 269, 634, 6019, 568, 27071, 676, 519, 4858, 345, 657, 543, 5842, 24527, 23117, 607, 1134, 607, 744, 344, 3122, 15880, 269, 634, 4858, 345, 657, 5211, 4646, 513, 3376, 782, 12320, 658, 14860, 267, 909, 547, 4557, 5195, 2647, 538, 4025, 269, 634, 4611, 15417, 11934, 723, 1044, 513, 2101, 7700, 3815, 547, 519, 6694, 2872, 538, 519, 6019, 563, 763, 1614, 18385, 10581, 762, 25825, 538, 10783, 645, 754, 6019, 616, 519, 4858, 345, 657, 5211, 267, 519, 5842, 24527, 5211, 5045, 540, 12426, 547, 10369, 10003, 476, 4510, 273, 267, 543, 744, 344, 3122, 15880, 5045, 540, 3557, 23681, 476, 277, 269, 634, 5842, 24527, 5211, 5045, 540, 3955, 8063, 23681, 476, 1015, 568, 513, 4005, 958, 10581, 762, 1216, 3118, 267, 3838, 593, 519, 7178, 609, 11105, 17521, 269, 1924, 2812, 4268, 689, 519, 3638, 782, 12320, 658, 11934, 538, 519, 4858, 345, 657, 5211, 9503, 547, 22501, 3138, 600, 543, 10036, 593, 519, 9299, 597, 625, 269, 7111, 4054, 1331, 890, 4754, 267, 18073, 267, 11849, 543, 10412, 6229, 267, 609, 930, 2025, 5377, 1633, 7733, 6967, 2059, 25825, 563, 14737, 1968, 2200, 1331, 3282, 267, 3154, 267, 543, 16247, 269, 9995, 267, 10036, 267, 543, 18574, 616, 20749, 3812, 269, 0, 15697, 7467, 26643, 454, 290, 984, 933, 2125, 538, 519, 19922, 267, 7452, 593, 519, 21300, 22403, 267, 8983, 538, 4859, 910, 513, 18660, 9754, 2164, 538, 4057, 21233, 1995, 543, 4057, 10070, 11091, 269, 769, 513, 9754, 267, 27194, 2731, 568, 1985, 547, 5601, 17349, 269, 7467, 27686, 17943, 7710, 3388, 596, 991, 547, 917, 827, 7738, 707, 10070, 269, 19893, 1451, 950, 547, 2973, 910, 543, 950, 711, 547, 2973, 269, 1358, 849, 1451, 875, 547, 1118, 1346, 3664, 269, 11762, 2039, 689, 2596, 2777, 15209, 547, 1808, 2553, 585, 1808, 3615, 269, 1411, 786, 1451, 1946, 7738, 568, 1271, 543, 875, 547, 2061, 3441, 950, 7738, 269, 1284, 786, 1413, 693, 1808, 2553, 602, 7413, 3441, 1247, 3478, 519, 960, 2944, 269, 1656, 649, 786, 1865, 950, 547, 1289, 538, 513, 11285, 267, 971, 607, 513, 11122, 1807, 269, 4841, 786, 1711, 513, 2777, 15209, 8261, 585, 741, 9872, 563, 273, 264, 3397, 757, 540, 667, 2678, 1640, 566, 454, 274, 264, 2657, 543, 3106, 585, 519, 1843, 543, 585, 596, 454, 275, 264, 16811, 543, 7727, 454, 276, 264, 27686, 2553, 454, 278, 264, 11354, 27686, 281, 5600, 15209, 15015, 454, 27396, 1218, 538, 7467, 27686, 17943, 960, 998, 6810, 693, 741, 1378, 10605, 269, 26189, 528, 717, 4958, 7770, 18722, 568, 2139, 585, 16516, 4757, 1489, 269, 10049, 543, 2200, 1331, 2228, 3332, 267, 13472, 15872, 543, 13972, 1063, 1053, 543, 2228, 669, 1846, 3366, 676, 519, 14357, 269, 634, 1576, 568, 3908, 547, 476, 736, 5171, 563, 300, 5237, 27686, 17943, 8255, 3670, 4374, 269, 1677, 15395, 513, 5544, 538, 519, 1576, 267, 5225, 2628, 693, 5291, 2517, 4178, 31815, 3005, 3249, 3820, 14121, 553, 14121, 553, 11258, 1403, 596, 723, 8373, 5225, 3346, 24796, 1325, 1084, 693, 18078, 17106, 11333, 3820, 454, 22923, 22227, 585, 9049, 24241, 281, 7467, 27686, 17943, 912, 763, 1576, 1543, 543, 15872, 941, 1360, 13181, 267, 519, 16929, 941, 1360, 5363, 543, 16990, 267, 543, 519, 10467, 267, 3226, 519, 3946, 6823, 4255, 543, 7738, 267, 4547, 519, 15872, 547, 1272, 267, 607, 649, 13736, 1018, 649, 1185, 4121, 563, 296, 17329, 519, 1806, 602, 4553, 519, 3137, 269, 901, 5280, 547, 11617, 1397, 1018, 1185, 1044, 5941, 563, 288, 1360, 13181, 1576, 2507, 13318, 1192, 832, 941, 1360, 18164, 543, 1500, 519, 5295, 4812, 15872, 1187, 269, 594, 2285, 596, 606, 834, 288, 257, 2336, 296, 17329, 519, 1249, 602, 519, 1362, 729, 5393, 1134, 6896, 269, 1284, 1705, 711, 3653, 942, 1247, 519, 14357, 23125, 856, 1018, 547, 798, 1985, 563, 296, 17329, 602, 1164, 9754, 4441, 941, 14593, 585, 7738, 630, 10472, 568, 1360, 1271, 1070, 855, 602, 519, 14357, 630, 294, 4958, 7770, 18722, 264, 1705, 711, 18149, 333, 1346, 945, 1223, 711, 2936, 1169, 2582, 25246, 269, 594, 917, 649, 666, 2936, 1034, 267, 855, 711, 1169, 2582, 3364, 693, 1250, 9872, 269, 901, 568, 6157, 519, 2013, 693, 15882, 4130, 982, 1250, 9872, 269, 594, 3494, 1169, 9754, 9441, 6499, 519, 1360, 1655, 585, 519, 9754, 13742, 267, 855, 3006, 12250, 7482, 2061, 2407, 6388, 269, 11048, 267, 1004, 1058, 917, 1655, 9754, 2853, 543, 11441, 547, 2743, 873, 607, 1454, 607, 2009, 563, 30606, 338, 11122, 1807, 717, 4958, 7770, 18722, 4121, 1200, 4739, 693, 519, 1977, 7467, 540, 7849, 3778, 267, 519, 28834, 781, 11094, 30551, 6997, 267, 519, 8225, 11094, 4659, 267, 5192, 1399, 11094, 6997, 267, 519, 11968, 13353, 6019, 7467, 540, 3203, 267, 543, 519, 16506, 8466, 5980, 269, 2701, 3964, 519, 5726, 8257, 693, 519, 3163, 7467, 540, 16506, 538, 476, 2735, 280, 269, 2701, 568, 519, 1071, 27236, 540, 589, 4591, 2065, 13979, 547, 7467, 28814, 5004, 267, 513, 2930, 6978, 2280, 585, 519, 1977, 5948, 585, 3557, 543, 10871, 3778, 543, 3964, 513, 11826, 7379, 300, 1982, 585, 519, 3163, 7467, 269, 2701, 729, 513, 1883, 4759, 538, 519, 4058, 2319, 602, 2966, 543, 3710, 513, 1007, 9744, 585, 519, 3163, 7467, 540, 16506, 269, 901, 20089, 8507, 538, 711, 1152, 513, 1533, 540, 519, 1148, 14266, 543, 4859, 9744, 267, 855, 849, 513, 2101, 8313, 827, 519, 1995, 540, 2679, 513, 1007, 9754, 543, 2870, 519, 2953, 5054, 281, 25021, 519, 13738, 269, 769, 476, 1220, 280, 1352, 7608, 519, 2990, 540, 11122, 1807, 543, 2212, 540, 519, 5726, 3296, 693, 519, 31257, 7467, 540, 7849, 3778, 538, 29016, 269, 15516, 269, 18722, 568, 513, 4759, 540, 519, 1977, 4659, 585, 11094, 543, 519, 5980, 585, 519, 27264, 540, 7849, 3778, 26888, 269, 2701, 15872, 543, 6799, 11925, 593, 15324, 5726, 267, 7379, 300, 267, 7738, 538, 15882, 267, 543, 4052, 2409, 543, 2326, 585, 4859, 540, 10070, 269, 0, 288, 1507, 2197, 827, 519, 2450, 540, 15930, 610, 28599, 267, 32678, 814, 513, 3982, 569, 4190, 267, 18932, 5251, 1178, 1027, 609, 26377, 267, 1507, 11396, 593, 12902, 15113, 1938, 267, 27726, 10239, 267, 12647, 267, 543, 22747, 563, 8601, 621, 1390, 2067, 5898, 267, 32678, 729, 519, 3135, 540, 835, 540, 4000, 779, 4102, 1024, 665, 1938, 538, 2487, 942, 269, 9737, 4989, 476, 278, 543, 4873, 476, 1704, 267, 476, 1960, 275, 267, 538, 519, 2230, 540, 1152, 476, 1911, 2395, 267, 670, 583, 639, 19856, 3042, 998, 519, 2197, 543, 1793, 4381, 1229, 606, 6059, 476, 8517, 267, 1822 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 779, 4683, 18992, 267, 595, 3559, 22855, 23392, 267, 17842, 2934, 2789, 18226, 3681, 267, 606, 2937, 1152, 7535, 1299, 535, 328, 512, 1145, 1858, 543, 7731, 8342, 18630, 1519, 25708, 17842, 779, 1152, 11255, 1216, 13472, 543, 17055, 536, 18365, 625, 256, 2913, 595, 3559, 22855, 1397, 596, 1018, 779, 8345, 538, 519, 2749, 267, 938, 11623, 616, 1175, 519, 4098, 563, 322, 3559, 572, 1807, 15193, 2593, 1315, 476, 272, 268, 8517, 4211, 4047, 299, 10345, 288, 630, 25838, 268, 6872, 274, 273, 264, 476, 3451, 15168, 337, 731, 9335, 4639, 269, 17842, 267, 10396, 631, 276, 294, 594, 313, 275, 454, 1432, 779, 2228, 10812, 6423, 307, 528, 15193, 3086, 2593, 585, 811, 9623, 267, 2200, 543, 3377, 596, 666, 946, 547, 1118, 519, 1034, 540, 707, 3643, 563, 341, 3245, 519, 1655, 8225, 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, 10481, 3073, 1014, 29879, 13474, 570, 2293, 257, 607, 851, 540, 834, 307, 30728, 1315, 5607, 1315, 25763, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 593, 8220, 632, 18586, 609, 25107, 6138, 267, 593, 875, 547, 798, 713, 267, 593, 741, 4485, 547, 14165, 267, 593, 519, 26117, 540, 930, 540, 1546, 28553, 781, 2093, 267, 540, 875, 5096, 1749, 517, 10607, 593, 14216, 5090, 320, 543, 654, 8636, 2102, 7322, 267, 593, 2372, 710, 5288, 5096, 1749, 517, 267, 593, 606, 1843, 542, 547, 2067, 1143, 267, 593, 1373, 513, 10178, 540, 6323, 267, 593, 16678, 3615, 267, 593, 4550, 31475, 7469, 9713, 22204, 538, 2372, 710, 543, 5096, 1749, 517, 267, 593, 1843, 687, 547, 4207, 5033, 24939, 267, 593, 918, 8692, 651, 543, 21042, 9713, 17779, 267, 593, 875, 5096, 1749, 517, 666, 581, 15095, 609, 918, 8692, 651, 543, 17127, 267, 593, 519, 7954, 540, 11129, 267, 543, 593, 2760, 23115, 856, 1018, 5339, 3069, 729, 3257, 269, 901, 835, 4422, 547, 519, 17909, 563, 274, 281, 4456, 281, 1432, 1500, 596, 1831, 513, 14544, 888, 21579, 24747, 518, 8633, 281, 296, 729, 513, 12200, 4819, 693, 513, 1507, 12666, 6575, 2852, 538, 11882, 267, 2713, 593, 13464, 585, 1454, 540, 1250, 6689, 269, 1703, 729, 513, 4832, 16222, 972, 267, 543, 594, 1085, 709, 978, 539, 513, 2816, 607, 17895, 268, 30236, 1575, 4819, 270, 1126, 17076, 269, 594, 19557, 547, 5717, 827, 2696, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 11682, 6579, 5308, 8008, 14176, 1315, 20603, 1315, 3525, 531, 20603, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 769, 513, 30152, 14925, 267, 2282, 519, 1656, 668, 20364, 1062, 267, 5030, 1079, 1655, 2828, 3957, 2098, 756, 2692, 543, 631, 2135, 773, 269, 1358, 941, 8049, 2370, 30659, 945, 6068, 3695, 519, 7122, 540, 7044, 3756, 269, 4256, 5172, 729, 1412, 30252, 12668, 281, 634, 1849, 821, 12668, 910, 28691, 629, 518, 13660, 1564, 8339, 2290, 1554, 789, 9289, 267, 834, 8005, 568, 519, 957, 816, 543, 6752, 14704, 602, 5795, 9739, 547, 938, 11537, 3197, 12482, 313, 756, 2692, 267, 1373, 519, 811, 23963, 20916, 3659, 267, 6700, 789, 7832, 593, 513, 1391, 547, 1265, 856, 256, 1924, 267, 1055, 789, 4682, 883, 2230, 267, 16144, 2509, 4541, 3047, 269, 4635, 1010, 9910, 5624, 1222, 781, 4359, 2029, 267, 2098, 756, 2692, 4951, 631, 2135, 773, 875, 1769, 536, 1742, 1813, 547, 8904, 607, 789, 5293, 676, 7372, 6801, 30867, 5863, 4159, 540, 18160, 781, 4937, 4039, 18356, 2439, 26796, 8757, 3047, 267, 789, 21503, 1439, 8393, 267, 1565, 827, 3381, 3014, 2504, 543, 5639, 16213, 269, 22582, 267, 789, 4362, 1945, 9058, 282, 519, 16805, 957, 816, 543, 6752, 14704, 789, 8179, 729, 9039, 824, 982, 12891, 2917, 661, 1188, 7322, 256, 2701, 1185, 18991, 17814, 13259, 338, 24499, 570, 8457, 2429, 1585, 10060, 12668, 2923, 269, 4173, 5876, 4769, 1405, 3247, 693, 8888, 10875, 9660, 282, 1352, 4547, 7772, 547, 9118, 7919, 2066, 15270, 998, 1200, 5639, 1740, 780, 30342, 12913, 267, 2098, 756, 2692, 543, 631, 2135, 773, 5423, 547, 2132, 1753, 950, 10393, 741, 6928, 29840, 539, 256, 898, 8604, 930, 12904, 3893, 18084, 1247, 4974, 5122, 11387, 1282, 741, 7634, 269, 1325, 553, 267, 1510, 1697, 2645, 610, 2200, 593, 1688, 267, 21338, 519, 6928, 1131, 1491, 3476, 982, 4397, 269, 1809, 3079, 540, 3443, 10107, 267, 789, 15422, 1018, 789, 4121, 827, 1966, 9010, 543, 8990, 689, 741, 7045, 269, 4935, 267, 5103, 6849, 6397, 2591, 267, 741, 7279, 7283, 5337, 1243, 543, 4712, 585, 2104, 29293, 780, 7437, 14488, 267, 789, 6956, 519, 2956, 540, 7041, 1354, 5887, 1005, 856, 883, 7164, 8513, 269, 6884, 649, 1810, 1405, 1205, 7525, 21368, 267, 2943, 1142, 4161, 3091, 3407, 4245, 910, 2436, 26500, 11580, 540, 9018, 2230, 610, 13215, 707, 1360, 1378, 8279, 629, 518, 546, 3241, 256, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 2108, 12585, 519, 1739, 2243, 281, 674, 2562, 3201, 12327, 4456, 476, 7726, 476, 272, 269, 10060, 12668, 281, 634, 1849, 821, 12668, 1107, 28691, 629, 518, 13660, 1564, 2934, 799, 957, 816, 543, 6752, 14704, 538, 513, 5639, 9117, 1909, 888, 12585, 912, 2414, 1265, 519, 2953, 2626, 267, 594, 991, 547, 1382, 519, 3381, 3014, 834, 30252, 12668, 281, 634, 1849, 821, 12668, 1107, 28691, 629, 518, 13660, 1564, 257, 547, 2697, 799, 957, 816, 543, 6752, 14704, 21350, 5367, 513, 1915, 538, 519, 3014, 269, 8528, 4131, 781, 2736, 519, 4305, 1524, 1384, 272, 269, 6733, 909, 1344, 827, 519, 3014, 834, 30252, 12668, 281, 634, 1849, 821, 12668, 1107, 28691, 629, 518, 13660, 1564, 4799, 273, 269, 10576, 799, 957, 816, 267, 945, 568, 849, 513, 6752, 14704, 267, 5526, 538, 519, 3014, 781, 5639, 5641, 780, 4131, 781, 2253, 891, 4247, 269, 8528, 734, 454, 5475, 10647, 513, 2620, 2228, 3406, 267, 10992, 3014, 17099, 543, 3444, 19295, 9535, 609, 12240, 585, 5639, 11051, 267, 594, 1336, 602, 957, 816, 543, 6752, 14704, 267, 12891, 2917, 661, 1188, 7322, 267, 21350, 5367, 513, 1915, 538, 713, 10060, 12668, 3381, 3014, 269, 8528, 2026, 327, 2917, 661, 1188, 7322, 568, 1634, 711, 1152, 585, 1200, 9117, 4876, 267, 1141, 1352, 5639, 19500, 519, 1915, 13259, 338, 24499, 570, 8457, 538, 713, 10060, 12668, 3014, 543, 824, 1644, 7641, 3126, 267, 855, 849, 585, 646, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 3848, 476, 279, 281, 29325, 4370, 543, 5685, 5109, 910, 17006, 7822, 543, 10466, 547, 2659, 2274, 1430, 18768, 692, 5970, 596, 2479, 9289, 875, 16463, 5370, 1205, 741, 7524, 4778, 286, 2107, 1946, 930, 16463, 338, 616, 2571, 1247, 1866, 723, 513, 19756, 1745, 286, 4270, 267, 602, 781, 782, 7064, 547, 10085, 4370, 543, 18138, 2553, 256, 1452, 3157, 1039, 2681, 543, 4027, 547, 707, 16463, 3785, 267, 1818, 873, 1413, 1390, 543, 2063, 3476, 269, 2913, 781, 4685, 883, 891, 4241, 4739, 1983, 2439, 1262, 4089, 476, 272, 281, 27759, 2659, 2274, 1430, 4373, 6524, 7311, 1022, 24470, 610, 26088, 267, 621, 781, 1898, 547, 5965, 707, 16463, 7157, 269, 901, 1184, 3322, 7738, 543, 2554, 516, 2084, 519, 1570, 547, 2327, 1256, 10338, 540, 519, 2472, 269, 1411, 666, 946, 2241, 7622, 3688, 899, 521, 18150, 12853, 610, 8670, 28052, 550, 6404, 609, 1216, 547, 2973, 1055, 13897, 543, 11041, 269, 30850, 267, 1577, 519, 16463, 3819, 4625, 1354, 3001, 593, 547, 519, 1985, 1900, 780, 1262, 4089, 476, 273, 281, 16792, 667, 6614, 4373, 3086, 2501, 519, 1187, 851, 1107, 4946, 2681, 547, 707, 1788, 256, 1703, 616, 1585, 2010, 540, 16463, 24470, 2139, 267, 971, 607, 4568, 2861, 267, 1216, 2861, 267, 543, 6891, 2861, 269, 3962, 814, 922, 5383, 543, 11393, 267, 865, 3442, 835, 1759, 593, 707, 7375, 543, 519, 1826, 540, 16463, 596, 2811, 2324, 609, 269, 11408, 3314, 547, 1449, 519, 20004, 593, 513, 1507, 6456, 1858, 1101, 547, 2327, 17356, 780, 2414, 4019, 519, 20004, 267, 596, 666, 946, 1114, 2645, 899, 29008, 525, 267, 26814, 267, 610, 12308, 338, 269, 5269, 2386, 547, 3382, 519, 3003, 2627, 14961, 543, 1628, 909, 6106, 952, 2877, 269, 14190, 1142, 4494, 547, 3819, 8499, 1354, 4946, 1776, 835, 269, 4793, 1466, 568, 1883, 1934, 1317, 678, 5241, 998, 713, 3942, 949, 1267, 538, 19514, 2681, 3892, 780, 1262, 4089, 476, 274, 281, 1530, 2718, 543, 27986, 2659, 4518, 4373, 5629, 596, 4312, 6913, 707, 5551, 2681, 267, 621, 781, 942, 547, 2149, 707, 20100, 256, 5685, 5109, 8069, 1711, 513, 11064, 1063, 519, 16463, 543, 5007, 2609, 267, 7303, 5957, 543, 15237, 936, 942, 269, 2368, 1455, 9096, 3681, 1331, 1035, 787, 331, 923, 267, 14589, 525, 267, 543, 759, 1231, 269, 5381, 547, 24470, 267, 789, 2097, 538, 1585, 3029, 267, 1519, 838, 7590, 267, 2250, 525, 267, 543, 15559, 780, 28274, 513, 13021, 656, 5205, 513, 2147, 4806, 607, 20004, 3498, 269, 2422, 3617, 2645, 630, 7945, 607, 17371, 26814, 264, 543, 960, 18928, 2066, 519, 3003, 4062, 269, 5213, 1405, 7340, 8728, 543, 1212, 341, 1182, 256, 13038, 6094, 25151, 2356, 6556, 1732, 2164, 982, 835, 5394, 10359, 269, 5457, 547, 1450, 1697, 27955, 2053, 1063, 3156, 780, 1262, 4089, 476, 275, 281, 8342, 12700, 6168, 2274, 1430, 11529, 4373, 12441, 596, 917, 602, 1004, 723, 1044, 1210, 16463, 585, 5215, 540, 1296, 286, 3245, 7802, 543, 31321, 547, 11149, 543, 16560, 13742, 267, 16463, 814, 5129, 513, 1713, 1909, 538, 1480, 1686, 269, 1635, 1565, 827, 10085, 4370, 543, 18138, 2553, 267, 596, 2811, 11173, 513, 3638, 2245, 5293, 1524, 998, 5481, 780, 11101, 267, 1620, 891, 2409, 10741, 9885, 547, 3875, 3860, 7399, 269, 5994, 8888, 2688, 530, 24548, 267, 26797, 267, 11435, 267, 610, 1256, 13544, 1115, 256, 2060, 2259, 267, 9639, 267, 543, 6612, 267, 972, 781, 1100, 3970, 547, 1018, 596, 666, 1711, 780, 1103, 5758, 267, 8600, 267, 12955, 267, 543, 27575, 16463, 8591, 1272, 543, 15325, 547, 707, 3785, 269, 22737, 713, 3504, 4739, 267, 4603, 609, 4778, 543, 26088, 267, 543, 25793, 1662, 707, 6418, 7376, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 14483, 1239, 6119, 454, 19425, 1882, 1239, 13847, 454, 28049, 1893, 2200, 454, 292, 6470, 1224, 1543, 454, 7069, 8921, 8844, 454, 7069, 8921, 8844, 585, 27851, 454, 300, 328, 2398, 6759, 343, 24982, 17131, 334, 454, 302, 265, 25892, 8943, 4045, 528, 454, 22512, 518, 16709, 13088, 454, 11847, 2176, 1299, 26671, 454, 302, 265, 25892, 1325, 569, 5171, 454, 22897, 10341, 1299, 13088, 5955, 454, 297, 984, 8193, 6351, 454, 302, 265, 25892, 5358, 7044, 454, 16158, 7896, 3755, 454, 302, 265, 25892, 538, 11059, 454, 302, 265, 25892, 5455, 30098, 1129, 5346, 454, 29791, 547, 2974, 454, 7069, 8921, 8844, 454, 300, 328, 2398, 6759, 343, 24982, 17131, 334, 454, 7069, 8921, 8844, 585, 27851, 454, 302, 265, 25892, 5680, 7896, 454, 10574, 14635, 5358, 454, 308, 2529, 269, 4972, 540, 8534, 454, 8450, 811, 281, 20431, 566, 12525, 16860, 454, 302, 265, 25892, 4149, 8016, 476, 1001, 280, 23909, 454, 19859, 7809, 9185, 22369, 454, 302, 265, 25892, 4149, 8016, 476, 1001, 280, 8943, 454, 302, 265, 25892, 4149, 8016, 476, 1001, 280, 7170, 454, 29991, 543, 25666, 4507, 543, 1683, 2949, 4287, 540, 3549, 610, 4357, 543, 1857, 5823, 3906, 1369, 4808, 1305, 909, 676, 513, 4604, 540, 19971, 610, 2147, 12044, 1560, 269, 4643, 267, 1463, 267, 610, 11282, 10512, 2238, 693, 519, 5207, 1377, 540, 2359, 609, 519, 948, 540, 29884, 26933, 543, 5234, 9946, 563, 2419, 3971, 20885, 12079, 619, 454, 10870, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 291, 344, 4370, 543, 5685, 5109, 257, 607, 851, 540, 834, 290, 32323, 4811, 1299, 670, 15477, 10292, 2464, 1315, 2274, 1430, 1740, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7464, 3465, 775, 540, 4906, 2441, 269, 1280, 23597, 2523, 267, 789, 5963, 3494, 602, 1282, 7136, 267, 3694, 543, 9174, 1831, 519, 4890, 10610, 543, 10552, 540, 2441, 12544, 14985, 1572, 1098, 889, 560, 656, 2747, 269, 30850, 267, 519, 13394, 3603, 3984, 630, 1492, 6967, 3694, 264, 568, 5116, 538, 513, 4190, 8708, 1572, 513, 1395, 1598, 766, 865, 602, 1004, 666, 2097, 543, 740, 648, 4906, 538, 713, 1106, 780, 3849, 1681, 4906, 3414, 27302, 1656, 14506, 454, 14343, 14945, 7628, 661, 1276, 541, 2065, 1520, 2610, 267, 596, 1522, 1294, 1004, 9054, 9934, 267, 7555, 267, 610, 9361, 23900, 1247, 3168, 2390, 519, 645, 1652, 539, 15762, 26963, 269, 2368, 949, 1224, 23075, 15102, 16965, 267, 973, 924, 19001, 267, 610, 3274, 1199, 10028, 3623, 1836, 269, 8535, 1419, 4249, 28663, 538, 519, 4282, 269, 4658, 2356, 7390, 661, 1276, 541, 2065, 1520, 2610, 14350, 267, 1498, 3006, 2516, 979, 1927, 1932, 269, 10705, 972, 616, 16516, 3108, 585, 661, 1276, 541, 2065, 1520, 2610, 1169, 1554, 282, 1866, 15395, 1808, 2053, 899, 3689, 2605, 12156, 630, 14140, 11016, 540, 1142, 3923, 6393, 3963, 1684, 10271, 12160, 622, 769, 661, 1276, 541, 2065, 1520, 2610, 888, 24801, 19030, 2690, 1082, 10271, 267, 7836, 942, 1354, 519, 645, 1652, 539, 15762, 26963, 3091, 4313, 267, 4708, 267, 7067, 267, 5583, 267, 4222, 267, 543, 6667, 269, 1358, 1745, 6251, 547, 2696, 543, 811, 7184, 4448, 609, 741, 5132, 2146, 269, 3958, 267, 2094, 4906, 1128, 21114, 519, 661, 1276, 30658, 693, 519, 7831, 2672, 3899, 630, 821, 2063, 7594, 3838, 609, 2828, 1070, 10283, 538, 661, 1276, 541, 2065, 1520, 2610, 2636, 10271, 547, 8956, 3571, 15093, 543, 3314, 13924, 23816, 569, 780, 4131, 781, 1234, 5115, 2483, 1366, 19567, 265, 8567, 3459, 607, 513, 1507, 1895, 538, 3504, 5840, 3366, 676, 4906, 563, 265, 11534, 3789, 543, 20655, 7142, 10271, 547, 2743, 31205, 2394, 789, 1223, 3715, 2933, 16175, 563, 265, 2290, 971, 11018, 5828, 883, 6101, 1242, 12738, 267, 1519, 661, 1276, 541, 2065, 1520, 2610, 563, 265, 661, 1276, 541, 2065, 1520, 2610, 3322, 9602, 8086, 543, 11755, 1354, 519, 645, 1652, 539, 15762, 26963, 563, 265, 3509, 10271, 1265, 24176, 267, 19015, 267, 543, 5289, 2208, 1282, 741, 942, 6170, 538, 661, 1276, 541, 2065, 1520, 2610, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8110, 15582, 543, 12004, 10455, 3256, 941, 3844, 547, 519, 1995, 540, 519, 2038, 10271, 563, 15900, 3131, 15582, 540, 8567, 454, 763, 16961, 32267, 542, 540, 2441, 729, 1472, 519, 1032, 476, 1789, 5084, 267, 543, 519, 4984, 540, 8567, 3459, 607, 513, 1507, 3190, 1014, 545, 3350, 1369, 21157, 267, 855, 621, 3533, 3262, 856, 2066, 519, 4936, 7276, 563, 2005, 1131, 581, 2182, 547, 21467, 560, 1493, 519, 2956, 540, 20655, 538, 519, 1650, 540, 8567, 269, 634, 7613, 540, 12004, 10455, 3256, 568, 4909, 547, 519, 2038, 4168, 1995, 543, 14820, 269, 898, 729, 1483, 1107, 711, 606, 608, 12000, 3130, 267, 607, 930, 5640, 723, 10645, 563, 24938, 10455, 568, 513, 5259, 2262, 602, 1797, 968, 342, 5893, 1848, 6742, 10455, 3256, 568, 10423, 538, 519, 1433, 540, 20450, 267, 799, 28420, 519, 12004, 10455, 3256, 540, 15537, 267, 519, 1101, 630, 528, 968, 2889, 1729, 14615, 12004, 10455, 269, 15537, 779, 12004, 10455, 3256, 267, 543, 782, 12004, 10455, 3256, 267, 568, 6766, 676, 519, 1249, 602, 789, 10847, 2576, 945, 729, 16961, 1881, 676, 519, 14564, 269, 4906, 2441, 5128, 1305, 519, 30675, 540, 12955, 585, 519, 5132, 563, 763, 12004, 10455, 3256, 540, 15537, 568, 606, 9565, 2203, 593, 519, 2856, 602, 267, 693, 519, 4090, 540, 2669, 267, 519, 12103, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 292, 1276, 541, 2065, 1520, 2610, 257, 607, 851, 540, 834, 32628, 1315, 4168, 681, 3770, 338, 1299, 6657, 1315, 654, 11208, 1299, 22175, 21395, 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, 1262, 6637, 476, 1724, 281, 10435, 14559, 6732, 910, 1323, 4985, 547, 10500, 559, 5573, 16373, 4373, 5970, 596, 2479, 4862, 827, 1004, 1818, 2724, 2228, 286, 9320, 707, 4587, 24107, 610, 3237, 917, 2576, 945, 1281, 621, 267, 610, 6148, 596, 4718, 1945, 827, 621, 593, 7641, 610, 519, 4950, 269, 21894, 519, 2013, 949, 581, 267, 621, 781, 3020, 256, 1703, 616, 6634, 540, 1004, 1472, 519, 1158, 945, 7118, 741, 2713, 998, 2228, 4213, 269, 2290, 2442, 1259, 547, 798, 713, 568, 998, 24988, 6725, 780, 3383, 1018, 4010, 568, 24988, 6725, 286, 4270, 267, 4952, 596, 1378, 513, 21097, 1796, 269, 1411, 6133, 8949, 19471, 21097, 547, 707, 12543, 267, 2828, 267, 543, 4896, 8429, 676, 269, 1809, 3006, 267, 950, 1870, 568, 3500, 267, 596, 6999, 811, 1004, 6785, 827, 707, 15813, 21097, 269, 2334, 781, 1141, 28930, 919, 2097, 538, 269, 1358, 948, 3262, 519, 2262, 827, 707, 21097, 1796, 547, 824, 1004, 267, 543, 952, 1346, 1004, 1439, 909, 9140, 707, 21097, 267, 596, 2671, 930, 540, 707, 12434, 609, 873, 607, 513, 9684, 596, 269, 901, 568, 519, 2596, 2856, 3297, 24988, 6725, 1107, 5009, 2472, 610, 2533, 2813, 676, 1866, 1247, 15980, 513, 10243, 585, 1142, 9042, 1500, 998, 707, 2189, 29748, 3095, 780, 2080, 781, 1946, 24988, 6725, 666, 581, 606, 5140, 4316, 585, 1647, 30595, 899, 596, 1384, 265, 2878, 20181, 1376, 5346, 3790, 5093, 9521, 2757, 1753, 2861, 4213, 971, 607, 9513, 19323, 5370, 610, 29586, 13492, 267, 4358, 606, 24988, 6725, 1870, 2356, 3085, 1405, 2154, 1454, 3355, 5092, 269, 2353, 596, 991, 568, 513, 2780, 610, 16335, 609, 606, 4950, 4276, 267, 543, 596, 2811, 1434, 547, 979, 2336, 265, 2878, 13480, 689, 9170, 5093, 4595, 3388, 4523, 2228, 267, 596, 666, 960, 593, 707, 24988, 6725, 3785, 8164, 543, 16382, 596, 1616, 269, 3143, 991, 547, 3251, 23132, 539, 909, 693, 1753, 282, 1745, 1863, 547, 3142, 707, 15291, 547, 513, 6995, 6300, 267, 5399, 267, 610, 1256, 513, 6288, 14541, 2336, 265, 2878, 17484, 1652, 7399, 5093, 634, 5898, 540, 24988, 6725, 6013, 538, 922, 17545, 269, 6787, 596, 2811, 13730, 827, 3381, 3756, 267, 2835, 267, 6752, 267, 610, 8516, 267, 972, 786, 2141, 581, 4143, 2472, 543, 2533, 2139, 585, 13319, 269, 9578, 267, 1007, 3091, 1402, 909, 3232, 267, 4180, 4195, 3255, 547, 2263, 780, 3086, 1577, 781, 1413, 693, 513, 1483, 3734, 1383, 547, 1732, 1174, 875, 24988, 6725, 1568, 1384, 22428, 596, 2648, 4730, 5985, 3756, 543, 1419, 2995, 707, 15032, 827, 519, 5767, 13847, 269, 22628, 606, 4316, 267, 596, 6430, 547, 1129, 909, 585, 606, 24988, 1982, 6035, 676, 10794, 313, 8759, 267, 513, 2754, 21751, 538, 11080, 17960, 543, 25584, 269, 2991, 1373, 7608, 883, 519, 1982, 267, 10794, 313, 8759, 2488, 596, 609, 513, 2189, 29748, 3009, 630, 2280, 781, 2161, 621, 781, 717, 28719, 297, 290, 23669, 264, 547, 3950, 6455, 6383, 998, 707, 3260, 687, 780, 9202, 267, 596, 1711, 513, 5816, 2022, 17265, 707, 5172, 3014, 543, 8732, 1302, 2446, 875, 1390, 10794, 313, 8759, 781, 12616, 12123, 14950, 1131, 9148, 5716, 262, 11080, 1305, 5725, 269, 10738, 519, 2022, 267, 596, 7696, 707, 29748, 3009, 607, 513, 5409, 15062, 28068, 3988, 547, 10794, 313, 8759, 781, 3896, 269, 19196, 1243, 676, 707, 16252, 267, 1896, 540, 707, 15032, 4945, 519, 3095, 543, 6718, 519, 12123, 21181, 269, 1306, 16219, 267, 10794, 313, 8759, 12587, 596, 609, 513, 6871, 540, 1142, 9042, 1107, 2161, 267, 476, 276, 260, 1107, 4946, 3063, 6666, 547, 707, 17927, 2439, 8170, 1576, 267, 1967, 2984, 1810, 1405, 1175, 4755, 16074, 269, 8490, 513, 19311, 24988, 6725, 1870, 3217, 9639, 267, 11428, 267, 543, 7580, 4058, 269, 1677, 1205, 3323, 267, 2015, 891, 4388, 1384, 272, 269, 7994, 513, 13395, 596, 22992, 2972, 543, 616, 18164, 827, 269, 32425, 4422, 513, 1279, 1259, 538, 2870, 8903, 1543, 602, 24889, 609, 1761, 5561, 563, 273, 269, 3194, 1585, 24988, 3292, 1369, 707, 6074, 13395, 543, 5635, 741, 2474, 267, 862, 3827, 267, 23739, 546, 15342, 267, 3092, 1421, 547, 1265, 519, 1655, 3514, 585, 596, 563, 274, 269, 8073, 1164, 7779, 1543, 602, 8591, 1871, 585, 707, 5304, 269, 10312, 593, 3246, 5363, 1344, 2864, 982, 3274, 11319, 2472, 610, 2533, 563, 275, 269, 32754, 5683, 2853, 2429, 707, 11044, 269, 11408, 30035, 707, 30901, 609, 12478, 543, 2760, 3765, 548, 611, 610, 13587, 633, 707, 13794, 563, 276, 269, 13773, 10770, 543, 1832, 1565, 256, 21988, 2344, 619, 16111, 13599, 2933, 593, 2872, 3466, 267, 3060, 609, 9905, 267, 543, 4603, 609, 1114, 2994, 2394, 789, 1265, 1018, 1568, 1655, 780, 1103, 3932, 267, 24988, 6725, 6799, 513, 1187, 543, 14785, 1259, 585, 1647, 30595, 899, 596, 547, 16702, 707, 19462, 883, 519, 5318, 5836, 540, 2228, 20835, 269, 1635, 1739, 938, 4808, 543, 9363, 6131, 547, 707, 3853, 267, 649, 4126, 602, 4166, 2614, 267, 596, 1932, 786, 28231, 519, 2640, 540, 4687, 707, 18653, 609, 519, 1158, 543, 3478, 9104, 730, 585, 3257, 865, 269, 8414, 6725, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 293, 710, 1259, 540, 7713, 267, 543, 3728, 573, 1190, 2376, 547, 1491, 5013, 3823, 1250, 6881, 1888, 267, 799, 1775, 993, 454, 4707, 547, 5838, 538, 1153, 269, 5351, 20410, 9627, 454, 2005, 781, 2469, 547, 581, 10678, 540, 9553, 1554, 267, 4849, 1354, 9096, 594, 993, 2542, 454, 10472, 9735, 4062, 540, 1603, 547, 2087, 1250, 1702, 563, 18484, 622, 585, 20410, 9627, 454, 15916, 3025, 1250, 2012, 568, 6276, 18412, 1775, 993, 689, 772, 14389, 1775, 6557, 4758, 513, 21981, 593, 875, 594, 8678, 519, 7629, 6058, 10620, 7015, 3125, 267, 594, 729, 3843, 547, 6443, 713, 3919, 585, 865, 1082, 1296, 1631, 267, 594, 729, 1085, 25428, 676, 16995, 8665, 538, 5045, 4000, 543, 267, 594, 729, 1524, 1775, 1223, 711, 3049, 1250, 1582, 543, 1250, 1920, 15042, 543, 594, 6836, 547, 1118, 2724, 676, 782, 1797, 855, 782, 538, 642, 664, 267, 594, 729, 12922, 547, 3346, 1022, 7629, 6058, 10620, 8665, 1317, 789, 723, 3548, 1250, 2724, 267, 835, 1554, 594, 3357, 2066, 513, 2022, 540, 2576, 4758, 513, 21981, 982, 6362, 513, 812, 1572, 3627, 5261, 585, 4543, 1864, 547, 6443, 519, 7629, 6058, 10620, 7015, 3125, 267, 1287, 594, 6743, 693, 519, 812, 779, 4757, 543, 519, 6049, 1297, 602, 729, 2854, 972, 267, 594, 729, 12922, 547, 3346, 1864, 1317, 1775, 729, 1085, 25428, 513, 2603, 540, 942, 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, 5851, 15369, 24371, 1315, 10500, 559, 5573, 16373, 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, 19731, 13734, 543, 11038, 5004, 538, 15215, 281, 589, 10312, 593, 8567, 543, 623, 12298, 1143, 692, 1103, 4207, 2486, 267, 2883, 2359, 543, 19642, 1404, 1713, 5107, 538, 1312, 1367, 2729, 543, 10721, 4238, 269, 901, 3184, 786, 5490, 883, 891, 2565, 2127, 676, 3695, 741, 4276, 547, 4984, 267, 4481, 8567, 543, 922, 2078, 547, 623, 12298, 1143, 269, 1635, 6313, 7097, 1116, 13210, 267, 3140, 8658, 267, 4052, 3156, 267, 543, 2413, 2591, 267, 713, 4901, 6663, 547, 1683, 513, 4514, 1620, 540, 875, 5132, 2950, 666, 3927, 4383, 2200, 1247, 16180, 741, 5692, 543, 5075, 780, 296, 269, 14644 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18439, 337, 6021, 692, 296, 4312, 2141, 1044, 13730, 827, 3695, 13395, 4690, 1107, 835, 540, 873, 1373, 7088, 31743, 269, 12389, 538, 4993, 814, 922, 2640, 2094, 649, 12212, 1205, 930, 21173, 4365, 3270, 12902, 538, 689, 519, 7414, 7909, 269, 2290, 6640, 267, 594, 530, 5803, 909, 2038, 547, 29677, 513, 10053, 20893, 4871, 10567, 547, 5734, 519, 23795, 2282, 1250, 1753, 269, 9741, 1705, 594, 917, 602, 713, 9583, 20027, 2067, 7613, 1131, 2490, 1250, 3232, 862, 1393, 883, 606, 20605, 7045, 4904, 609, 17409, 267, 2673, 7125, 267, 543, 22406, 9810, 780, 7069, 1286, 729, 16041, 609, 782, 519, 30304, 585, 13830, 10875, 22089, 281, 12514, 267, 14485, 267, 7552, 16104, 267, 9075, 267, 543, 1256, 16152, 630, 20357, 945, 6487, 875, 1279, 594, 9364, 581, 12758, 538, 713, 20893, 286, 1040, 1306, 594, 22755, 2509, 519, 9381, 19814, 267, 519, 5134, 8057, 23198, 543, 16437, 518, 267, 28277, 1472, 803, 899, 513, 14927, 24120, 269, 6250, 2225, 12628, 20427, 282, 621, 5433, 607, 952, 594, 941, 17158, 539, 538, 10412, 17711, 267, 855, 1510, 519, 6653, 6492, 780, 2026, 594, 4797, 2059, 519, 23090, 9897, 267, 1250, 2295, 986, 1027, 1169, 942, 1776, 6174, 7902, 856, 540, 24076, 267, 6071, 3952, 2476, 269, 3733, 1164, 20832, 25139, 6263, 20256, 17735, 538, 4571, 1515, 267, 2870, 606, 552, 24809, 6429, 24188, 540, 513, 16897, 7260, 269, 2311, 602, 4090, 267, 594, 7691, 1175, 875, 5906, 20893, 1223, 581, 950, 5665, 513, 5179, 6174, 780, 4517, 1287, 3357, 519, 6397, 4729, 6335, 13718, 306, 19488, 267, 9624, 519, 3043, 705, 903, 338, 267, 594, 4718, 1945, 5963, 29737, 1107, 19421, 540, 1004, 21039, 538, 2407, 1085, 18866, 10591, 267, 7555, 7258, 519, 4155, 256, 898, 3576, 803, 513, 2034, 547, 1184, 1018, 594, 729, 7487, 267, 855, 4166, 2614, 267, 20185, 546, 1177, 2740, 2390, 803, 281, 789, 1590, 723, 9709, 513, 1895, 4685, 693, 513, 7404, 11824, 267, 1152, 547, 1265, 2933, 1266, 5285, 539, 676, 519, 6727, 20893, 4871, 269, 4256, 3070, 286, 27016, 585, 519, 20893, 547, 2312, 1247, 11981, 14254, 593, 519, 2427, 540, 519, 4155, 780, 8450, 532, 1346, 4129, 16064, 539, 856, 538, 683, 641, 16867, 17015, 267, 13968, 267, 543, 13688, 1500, 803, 14902, 865, 2182, 602, 594, 3592, 29709, 827, 519, 30217, 748, 5397, 6619, 269, 1809, 1310, 27300, 1159, 3796, 543, 6329, 267, 594, 20399, 593, 1189, 267, 5462, 547, 7001, 519, 3501, 8929, 540, 519, 20893, 6879, 709, 4765, 5251, 780, 9961, 1250, 3460, 267, 594, 11402, 1896, 811, 2516, 540, 18843, 539, 4129, 267, 1142, 835, 4946, 547, 519, 21494, 640, 540, 519, 3510, 269, 16828, 267, 594, 6603, 1250, 10278, 543, 9676, 18198, 2592, 540, 519, 20893, 10145, 7566, 519, 30917, 543, 5836, 2630, 780, 8269, 22162, 593, 713, 1995, 267, 594, 6591, 513, 4514, 7071, 585, 1312, 2470, 781, 5898, 543, 922, 1761, 10898, 269, 2334, 1554, 18056, 803, 2760, 547, 30391, 519, 1379, 540, 20893, 950, 3297, 519, 8868, 269, 5047, 267, 5103, 519, 28842, 1466, 3361, 547, 519, 4129, 267, 972, 729, 513, 2178, 2631, 540, 23274, 10838, 873, 267, 1818, 1769, 540, 519, 3510, 543, 7432, 621, 883, 606, 791, 668, 696, 340, 11018, 269, 901, 18674, 1250, 3661, 602, 2950, 1106, 538, 519, 1034, 12691, 4025, 267, 8087, 676, 3838, 2833, 543, 8994, 2463, 780, 3383, 1985, 942, 596, 3068, 20893, 4445, 2175, 267, 2436, 596, 2811, 6117, 610, 7722, 538, 1022, 2534, 267, 3314, 547, 3251, 21713, 267, 22537, 267, 543, 1930, 547, 4466, 7772, 538, 1272, 781, 2370, 26208, 269, 2991, 782, 267, 3006, 890, 320, 17339, 20893, 5012, 547, 9058, 13341, 256, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 2108, 293, 690, 568, 4646, 676, 1216, 11517, 7873, 14819, 538, 519, 2011, 267, 543, 20893, 1879, 6117, 267, 20893, 568, 606, 21677, 610, 513, 12042, 8896, 602, 2306, 1919, 21372, 269, 9717, 891, 5013, 267, 1018, 666, 581, 1216, 11517, 7873, 14819, 538, 2011, 581, 513, 12042, 8896, 547, 1851, 519, 1739, 3681, 281, 910, 4189, 476, 910, 6117, 476, 910, 6668, 476, 910, 4764, 476, 910, 3350, 476, 910, 8105, 476, 910, 6472, 476, 910, 5986, 454, 288, 912, 16449, 519, 2016, 3681, 267, 1216, 11517, 7873, 14819, 538, 519, 2011, 267, 3056, 547, 20893, 267, 666, 3335, 581, 513, 12042, 8896, 547, 6117, 267, 3350, 267, 8105, 267, 543, 6472, 780, 272, 269, 32010, 281, 674, 690, 13514, 513, 1713, 8594, 1247, 6117, 267, 607, 621, 16094, 6971, 15287, 585, 10256, 269, 18648, 15287, 666, 1291, 547, 14887, 5114, 2053, 543, 606, 2799, 10171, 540, 21611, 269, 667, 31034, 991, 547, 581, 5393, 18762, 1282, 20893, 4445, 2175, 267, 1210, 741, 20893, 8279, 543, 1970, 15515, 600, 2212, 7547, 547, 2087, 15287, 267, 1247, 849, 13302, 741, 3432, 547, 2226, 513, 2922, 3845, 689, 824, 6472, 269, 18171, 1841, 593, 519, 4155, 949, 849, 581, 9875, 547, 13498, 267, 2417, 2810, 519, 1981, 540, 10913, 780, 273, 269, 8844, 332, 10640, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 1684, 711, 1376, 609, 5220, 899, 476, 834, 5629, 2390, 513, 942, 257, 607, 713, 568, 513, 14703, 2022, 543, 711, 513, 3209, 267, 596, 1058, 849, 2057, 4358, 609, 5929, 5220, 899, 834, 288, 1906, 1296, 3516, 257, 610, 834, 288, 1906, 1296, 1394, 2580, 581, 3860, 269, 0, 4495, 2390, 513, 942, 267, 538, 513, 2244, 2484, 2476, 267, 972, 729, 513, 9589, 1153, 1572, 2233, 24728, 9142, 269, 901, 1153, 1185, 1053, 689, 782, 936, 519, 1158, 945, 3357, 547, 1451, 827, 2257, 543, 9059, 256, 1809, 1256, 1498, 621, 729, 513, 9589, 1747, 267, 519, 1053, 1869, 2877, 547, 1745, 2922, 543, 5150, 865, 789, 1223, 1445, 593, 741, 2090, 780, 32459, 7625, 29216, 24711, 6785, 875, 1271, 621, 729, 585, 1200, 1053, 547, 1745, 2922, 267, 865, 1352, 1500, 2386, 602, 519, 30028, 1185, 1283, 27677, 577, 13464, 3354, 269, 1703, 941, 2141, 7874, 22651, 1273, 13764, 519, 31508, 267, 1818, 2386, 3025, 729, 2922, 269, 1358, 849, 1185, 2027, 19269, 899, 834, 20776, 557, 11462, 1975, 12742, 257, 602, 1223, 1294, 543, 5873, 3388, 267, 543, 834, 28770, 11765, 1744, 3658, 257, 602, 1131, 2149, 4896, 538, 8594, 780, 3080, 1554, 267, 1945, 9490, 5949, 269, 2368, 540, 519, 24028, 11462, 1975, 12742, 4682, 7508, 267, 543, 519, 17073, 1744, 3658, 11074, 2324, 256, 25867, 29216, 24711, 729, 14126, 267, 855, 1352, 4769, 1405, 1616, 547, 29057, 519, 1053, 269, 1924, 267, 1352, 4280, 1079, 15931, 1053, 3957, 7665, 543, 15039, 547, 8495, 780, 16655, 543, 15039, 941, 8049, 543, 12703, 269, 1358, 3323, 6998, 2055, 543, 3168, 585, 10881, 269, 2755, 6158, 547, 835, 540, 519, 22651, 267, 789, 4121, 827, 5201, 1107, 519, 1648, 602, 2306, 19269, 960, 256, 634, 9856, 6045, 602, 2576, 1590, 723, 512, 2086, 1229, 609, 519, 3354, 1062, 267, 4929, 621, 547, 29840, 269, 2060, 713, 1007, 1702, 267, 7665, 543, 15039, 1305, 856, 547, 1265, 519, 27521, 780, 5445, 4166, 4362, 602, 513, 3765, 2151, 31773, 13442, 3957, 717, 8145, 4802, 1185, 3361, 519, 14784, 256, 717, 8145, 4802, 6068, 4730, 929, 3471, 267, 855, 646, 4769, 1405, 8275, 875, 1010, 3527, 4299, 1866, 269, 1879, 7665, 543, 15039, 6045, 519, 2956, 540, 3354, 543, 519, 1523, 540, 1412, 14490, 262, 910, 519, 4960, 540, 1945, 3983, 8345, 910, 717, 8145, 4802, 5433, 20994, 585, 1018, 646, 1705, 269, 1261, 16219, 2760, 547, 1199, 323, 548, 609, 519, 3354, 1062, 1586, 780, 4913, 267, 711, 782, 2042, 3893, 17251, 269, 4634, 1498, 717, 8145, 4802, 23294, 1242, 267, 519, 3354, 3937, 729, 1869, 7745, 269, 898, 1131, 1491, 930, 942, 547, 4368, 621, 269, 769, 519, 29291, 267, 519, 1053, 1185, 547, 7048, 593, 1142, 824, 543, 519, 6967, 22651, 585, 4027, 269, 9282, 513, 2370, 18901, 267, 3025, 6956, 519, 3510, 1732, 1631, 269, 5020, 3884, 1405, 3501, 267, 3006, 938, 20038, 3111, 721, 267, 855, 649, 666, 1451, 689, 1346, 8090, 267, 1332, 6793, 1927, 267, 543, 1832, 3001, 4464, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 22081, 1281, 13464, 3354, 1764, 1053, 262, 4743, 540, 3106, 543, 3354, 888, 296, 1810, 1405, 723, 2123, 2833, 610, 4664, 269, 2705, 267, 538, 2489, 267, 13464, 3354, 666, 3648, 1764, 1053, 262, 4606, 540, 3106, 543, 3354, 269, 950, 513, 13464, 814, 513, 1134, 2389, 11712, 543, 7298, 3354, 4527, 267, 1053, 616, 811, 2693, 547, 1745, 2922, 543, 5150, 1247, 11504, 5049, 267, 10283, 538, 29599, 2238, 267, 610, 3274, 6972, 1472, 13464, 269, 10123, 267, 2500, 3354, 3800, 267, 971, 607, 13178, 12514, 543, 6595, 1289, 10833, 267, 666, 948, 1053, 1745, 811, 5150, 543, 6870, 538, 519, 2680, 540, 606, 6595, 610, 1761, 3463, 269, 593, 519, 824, 1688, 267, 950, 13464, 3354, 568, 16283, 610, 896, 560, 3530, 539, 267, 1053, 949, 1745, 7925, 543, 31536, 633, 827, 741, 3106, 267, 3056, 547, 2539, 2875, 27907, 543, 11874, 18363, 741, 2949, 2852, 1995, 14325, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2496, 11405, 912, 16936, 454, 339, 454, 341, 454, 327, 335, 454, 293, 454, 1822, 2073, 476, 3451, 454, 23751, 1321, 454, 326, 575, 454, 16936, 454, 333, 667, 454, 341, 454, 11027, 454, 23751, 337, 10975, 454, 332, 454, 333, 454, 333, 454, 342, 454, 342, 454, 326, 454, 1789, 454, 736, 454, 7785, 454, 284, 815, 21591, 263, 3738, 263, 12467, 11027, 12631, 12631, 12631, 454, 322, 524, 512, 530, 524, 454, 326, 524, 454, 326, 454, 303, 623, 715, 544, 623, 454, 301, 623, 454, 291, 454, 3199, 476, 275, 476, 736, 454, 284, 815, 815, 21591, 263, 12467, 322, 454, 322, 454, 16936, 454, 303, 454, 303, 454, 341, 476, 1220, 454, 1321, 454, 1789, 454, 3199, 454, 284, 692, 23751, 11027, 454, 11027, 692, 263, 12467, 322, 524, 454, 339, 454, 303, 623, 454, 293, 454, 31404, 276, 454, 1220, 454, 1839, 476, 1822, 2073, 476, 3451, 454, 284, 21591, 331, 321, 674, 454, 341, 454, 293, 454, 339, 454, 16936, 454, 323, 692, 427, 352, 360, 30492, 23751, 6344, 271, 454, 6344, 271, 692, 263, 12467, 331, 321, 454, 303, 454, 303, 454, 303, 454, 303, 454, 293, 454, 322, 454, 322, 454, 322, 454, 322, 454, 323, 454, 32504, 284, 692, 427, 352, 360, 30492, 23751, 277, 476, 276, 1547, 476, 6924, 278, 476, 31404, 276, 454, 6344, 271, 454, 1220, 476, 6344, 271, 692, 9917, 961, 1826, 281, 538, 623, 667, 454, 322, 530, 454, 272, 1547, 476, 272, 476, 275, 1547, 476, 273, 1341, 21591, 263, 12467, 263, 3738, 263, 3738, 630, 3738, 476, 272, 1547, 476, 272, 476, 275, 1547, 476, 273, 454, 275, 454, 272, 1547, 476, 272, 476, 275, 1547, 476, 273, 454, 275, 454, 11927, 454, 32504, 23751, 32504, 284, 21591, 322, 454, 322, 454, 322, 454, 322, 454, 342, 454, 322, 512, 454, 303, 454, 303, 454, 303, 454, 303, 454, 291, 454, 303, 715, 454, 11027, 12631, 12631, 454, 16575, 454, 10674, 2517, 532, 525, 565, 1075, 542, 926, 657, 269, 24108, 4944, 582, 2593, 454, 306, 4488, 3582, 476, 1691, 1107, 20796, 300, 23817, 12678, 454, 17273, 476, 278, 540, 476, 866, 454, 342, 575, 530, 454, 321, 298, 667, 674, 21591, 322, 454, 303, 536, 476, 273, 815, 31377, 11027, 454, 322, 454, 326, 454, 303, 454, 291, 454, 3199, 454, 284, 692, 323, 530, 454, 293, 674, 21591, 263, 3738, 263, 12467, 263, 12467, 322, 454, 322, 454, 342, 524, 454, 322, 454, 303, 454, 303, 454, 298, 623, 454, 303, 30492, 284, 692, 427, 352, 360, 476, 277, 476, 276, 1547, 476, 6924, 278, 454, 273, 454, 3199, 454, 11027, 692, 263, 12467, 322, 454, 322, 454, 342, 524, 454, 303, 454, 303, 454, 298, 623, 454, 32504, 23751, 277, 476, 276, 1547, 476, 6924, 278, 454, 11152, 1547, 476, 2004, 454, 273, 692, 8368, 11083, 476, 2767, 267, 10434, 2989, 5374, 543, 669, 2683, 19730, 454, 3528, 4693, 543, 5470, 1505, 692, 3528, 4693, 543, 5470, 543, 1210, 7305, 11083, 476, 2767, 630, 18494, 26420, 9881, 486, 454, 333, 454, 994, 342, 454, 298, 454, 322, 454, 303, 454, 322, 454, 303, 630, 560, 323, 264, 18494, 454, 10946, 454, 16575, 1775, 1626, 269, 1556, 454, 333, 454, 395, 484, 454, 3445, 476, 272, 269, 30203, 476, 272, 269, 271, 476, 736, 476, 1626, 476, 1691, 476, 16006, 454, 10219, 476, 271, 269, 3445, 278, 476, 272, 269, 271, 476, 736, 476, 1839, 476, 736, 692, 8196, 454, 334, 454, 736, 21591, 333, 454, 395, 484, 31377, 334, 454, 736, 815, 18494, 2073, 538, 623, 454, 322, 454, 272, 21591, 323, 530, 454, 293, 674, 21591, 263, 3738, 263, 12467, 263, 12467, 272, 454, 272, 476, 277, 476, 276, 1547, 476, 12739, 278, 454, 10219, 454, 3199, 30492, 284, 692, 321, 454, 11027, 692, 514, 536, 476, 24423, 1547, 476, 272, 21591, 25669, 538, 536, 454, 279, 454, 276, 454, 272, 21591, 6357, 2020, 266, 692, 23751, 325, 454, 325, 454, 324, 454, 333, 454, 333, 454, 16575, 26420, 454, 16575, 26420, 454, 16575, 454, 11927, 5430, 454, 11927, 5430, 454, 11927, 454, 334, 454, 736, 21591, 333, 454, 395, 484, 454, 334, 454, 736, 815, 18494, 454, 514, 623, 667, 454, 322, 530, 454, 276, 1547, 476, 274, 476, 272, 1547, 476, 272, 476, 275, 1547, 476, 273, 476, 272, 1547, 476, 272, 476, 275, 1547, 476, 273, 815, 1341, 815, 1341, 21591, 263, 3738, 263, 12467, 325, 10975, 454, 333, 667, 454, 341, 454, 342, 530, 454, 337, 454, 276, 5952, 454, 736, 5430, 476, 1321, 454, 7785, 476, 276, 1547, 476, 274, 454, 6523, 476, 1321, 454, 284, 815, 21591, 11027, 454, 16575, 454, 11027, 692, 263, 12467, 271, 3953, 274, 1547, 476, 271, 454, 276, 5952, 454, 3953, 1547, 476, 271, 476, 3953, 1547, 476, 271, 454, 3607, 1547, 476, 271, 476, 3607, 1547, 476, 271, 454, 284, 815, 21591, 337, 454, 341, 454, 325, 630, 535, 10975, 642, 454, 337, 454, 4968, 271, 476, 3583, 2999, 2999, 12467, 260, 476, 2537, 1547, 476, 3445, 476, 3445, 273, 274, 1547, 476, 271, 454, 271, 3953, 274, 1547, 476, 271, 476, 736, 16009, 476, 736, 5430, 454, 736, 16009, 476, 271, 3953, 274, 1547, 476, 271, 476, 736, 5430, 454, 736, 16009, 815, 25883, 266, 692, 284, 552, 454, 10674, 2517, 532, 525, 565, 1075, 542, 926, 657, 269, 24108, 4944, 582, 2593, 454, 306, 4488, 3582, 476, 1691, 1107, 20796, 300, 23817, 12678, 454, 17273, 476, 279, 540, 476, 866, 454, 278, 1547, 476, 272, 454, 2381, 454, 273, 1547, 476, 6246, 595, 589, 815, 9881, 486, 13483, 269, 538, 780, 263, 12467, 326, 530, 454, 291, 667, 595, 1341, 21591, 273, 454, 272, 692, 514, 667, 454, 342, 454, 276, 1547, 476, 274, 21591, 263, 12467, 514, 454, 303, 454, 291, 454, 322, 454, 326, 454, 276, 1547, 476, 1839, 454, 272, 476, 3199, 476, 3199, 454, 284, 815, 21591, 11027, 12631, 692, 263, 3738, 538, 595, 476, 276, 1547, 476, 1691, 476, 276, 1547, 476, 1839, 476, 276, 1547, 476, 274, 454, 273, 454, 272, 454, 284, 1341, 21591, 263, 3738, 1547, 1547, 476, 2412, 278, 273, 476, 276, 1547, 476, 1691, 476, 273, 1547, 476, 6246, 454, 278, 1547, 476, 272, 454, 2381, 454, 514, 13483, 589, 815, 25883, 307, 17687, 4473, 815, 512, 31221, 454, 2381, 18470, 10264, 512, 589, 554, 1627, 454, 13062, 524, 454, 6629, 31221, 25883, 263, 3738, 263, 3738, 630, 3738, 263, 3738, 630, 3738, 1295, 476, 7785, 2073, 476, 3199, 1295, 476, 1822, 2073, 476, 3451, 476, 4510, 273, 276, 1547, 476, 273, 476, 1839, 476, 3445, 273, 274, 1547, 476, 271, 476, 272, 476, 272, 18470, 10264, 554, 335, 18470, 10264, 554, 335, 554, 335, 552, 1627, 454, 328, 454, 6629, 815, 6567, 6567, 815, 6567, 815, 6567, 21591, 8201, 19200, 476, 2641, 267, 1547, 1547, 476, 274, 1547, 476, 2764, 1547, 1547, 476, 2412, 278, 273, 10264, 13483, 538, 13483, 589, 815, 21591, 293, 538, 13483, 18470, 10264, 554, 454, 13062, 454, 6629, 6567, 6567, 815, 1547, 1547, 1295, 476, 5655, 1547, 476, 271, 454, 322, 454, 304, 1627, 21591, 263, 3738, 263, 3738, 263, 3738, 512, 31221, 815, 476, 2412, 278, 273, 476, 5655, 1547, 476, 271, 476, 7785, 2073, 476, 3199, 454, 293, 512, 476, 5325, 815, 31221, 454, 5976, 674, 512, 476, 1911, 454, 272, 454, 23751, 293, 674, 512, 476, 5611, 476, 15704, 454, 273, 454, 283, 21591, 11997, 267, 1100, 2027, 9023, 2877, 780, 8064, 275, 269, 589, 476, 2004, 3620, 335, 5179, 7432, 693, 476, 11260, 271, 678, 10975, 568, 547, 5838, 922, 1379, 547, 513, 21431, 268, 613, 541, 454, 516, 706, 1356, 267, 4171, 6991, 5223, 568, 547, 581, 476, 736, 269, 634, 7387, 15178, 21431, 568, 547, 581, 1500, 540, 454, 14683, 23150, 5641, 4401, 282, 2094, 513, 21230, 1434, 4398, 568, 5551, 267, 946, 693, 2547, 476, 275, 454, 628, 1348, 338, 282, 22670, 1107, 321, 1258, 2763, 10591, 630, 8368, 11083, 476, 274, 1040, 630, 320, 264, 32341, 2390, 454, 342, 454, 291, 543, 454, 333, 454, 395, 484, 2073, 543, 454, 323, 9057, 710, 5078, 2418, 540, 519, 12334, 543, 3068, 8700, 269, 30770, 630, 321, 264, 519, 4398, 2676, 6262, 264, 519, 2837, 4473, 540, 519, 19149, 656, 269, 6480, 1493, 519, 10237, 908, 1858, 540, 519, 2013, 269, 1772, 454, 338, 2133, 9023, 2877, 2496, 11405, 912, 16936, 454, 339, 454, 341, 454, 327, 335, 454, 293, 454, 1822, 2073, 476, 3451, 454, 23751, 1321, 454, 326, 575, 454, 16936, 454, 333, 667, 454, 341, 454, 11027, 454, 23751, 337, 10975, 454, 332, 454, 333, 454, 333, 454, 342, 454, 342, 454, 326, 454, 276, 1547, 476, 9262, 454, 736, 454, 11260, 271, 454, 284, 815, 21591, 263, 3738, 263, 12467, 11027, 12631, 12631, 12631, 454, 322, 524, 512, 530, 524, 454, 326, 524, 454, 326, 454, 303, 623, 715, 544, 623, 454, 301, 623, 454, 291, 454, 3199, 476, 275, 476, 736, 454, 284, 815, 815, 21591, 10674, 2517, 532, 525, 565, 1075, 542, 926, 657, 269, 24108, 4944, 582, 2593, 454, 306, 4488, 3582, 476, 1691, 1107, 20796, 300, 23817, 12678, 454, 17273, 476, 280, 540, 476, 866, 454, 263, 12467, 322, 454, 322, 454, 16936, 454, 303, 454, 303, 454, 341, 476, 6812, 274, 454, 1321, 454, 276, 1547, 476, 9262, 454, 3199, 454, 284, 692, 23751, 11027, 454, 11027, 692, 263, 12467, 322, 524, 454, 339, 454, 303, 623, 454, 293, 454, 27543, 271, 454, 6812, 274, 454, 2004, 476, 1822, 2073, 476, 3451, 454, 284, 25883, 5416, 264, 18470, 674, 454, 341, 454, 293, 454, 339, 454, 16936, 454, 323, 692, 427, 352, 360, 30492, 23751, 6344, 271, 454, 6344, 271, 692, 263, 12467, 331, 321, 454, 303, 454, 303, 454, 303, 454, 303, 454, 293, 454, 322, 454, 322, 454, 322, 454, 322, 454, 323, 454, 32504, 284, 692, 427, 352, 360, 30492, 23751, 6187, 1547, 476, 273, 476, 15389, 276, 476, 27543, 271, 454, 6344, 271, 454, 6812, 274, 476, 6344, 271, 692, 342, 575, 530, 454, 321, 298, 667, 674, 21591, 322, 454, 303, 536, 476, 273, 815, 31377, 11027, 454, 322, 454, 326, 454, 303, 454, 291, 454, 3199, 454, 284, 692, 323, 530, 454, 293, 674, 21591, 263, 3738, 263, 12467, 263, 12467, 322, 454, 322, 454, 342, 524, 454, 322, 454, 303, 454, 303, 454, 298, 623, 454, 303, 30492, 284, 692, 427, 352, 360, 476, 6187, 1547, 476, 273, 476, 15389, 276, 454, 273, 454, 3199, 454, 11027, 692, 263, 12467, 322, 454, 322, 454, 342, 524, 454, 303, 454, 303, 454, 298, 623, 454, 32504, 23751, 6187, 1547, 476, 273, 476, 15389, 276, 454, 11152, 1547, 476, 2004, 454, 273, 692, 342, 454, 322, 512, 454, 291, 454, 303, 715, 454, 11027, 454, 16575, 815, 16009, 454, 9515, 961, 15178, 454, 514, 623, 667, 454, 322, 530, 454, 272, 1547, 476, 272, 476, 275, 1547, 476, 273, 1341, 21591, 263, 3738, 476, 272, 1547, 476, 272, 476, 275, 1547, 476, 273, 454, 275, 454, 11927, 454, 32504, 23751, 322, 454, 322, 454, 303, 454, 303, 454, 11027, 454, 16575, 454, 8368, 11083, 476, 2767, 267, 1164, 23150, 5641, 268, 1241, 543, 22670, 19730, 454, 3528, 4693, 543, 5470, 543, 1210, 7305, 11083, 476, 2767, 630, 18494, 26420, 9881, 486, 454, 333, 454, 994, 342, 454, 298, 454, 322, 454, 303, 454, 322, 454, 303, 630, 560, 323, 264, 18494, 454, 10946, 454, 16575, 1775, 1626, 269, 1556, 454, 333, 454, 395, 484, 454, 3199, 476, 272, 269, 23713, 476, 272, 269, 271, 476, 736, 476, 1626, 476, 1691, 476, 16006, 454, 12893, 476, 271, 269, 279, 5952, 476, 278, 270, 279, 476, 866, 269, 273, 476, 1839, 476, 736, 692, 8196, 454, 334, 454, 273, 1547, 476, 866, 815, 18494, 31377, 334, 454, 736, 21591, 333, 454, 395, 484, 2073, 538, 623, 454, 322, 454, 279, 454, 278, 454, 23751, 514, 623, 667, 454, 322, 530, 454, 273, 1547, 476, 274, 476, 272, 1547, 476, 272, 454, 279, 454, 278, 454, 275, 1547, 476, 273, 476, 272, 1547, 476, 272, 476, 275, 1547, 476, 273, 815, 1341, 692, 284, 1341, 21591, 323, 530, 454, 293, 674, 21591, 10674, 2517, 532, 525, 565, 1075, 542, 926, 657, 269, 24108, 4944, 582, 2593, 454, 306, 4488, 3582, 476 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 23742, 614, 676, 13445, 454, 23742, 614, 676, 14474, 454, 27144, 2983, 32015, 29885, 543, 18536, 18332, 6008, 696, 4141, 781, 11916, 3194, 538, 5274, 538, 20117, 674, 1068, 16478, 543, 21150, 787, 334, 18734, 267, 476, 3422, 280, 268, 2735, 271, 454, 763, 24118, 22920, 540, 1480, 538, 20117, 22289, 543, 21872, 4483, 630, 4353, 293, 268, 4953, 264, 3576, 1296, 547, 1831, 519, 3811, 4480, 602, 27057, 6087, 1102, 1068, 850, 15185, 547, 723, 741, 1378, 1453, 269, 769, 476, 3422, 280, 267, 811, 982, 4557, 1296, 1310, 519, 1101, 8942, 547, 1521, 1102, 1068, 1988, 609, 10001, 293, 4066, 267, 519, 3703, 11095, 29489, 7917, 2983, 32015, 29885, 6992, 1242, 1480, 522, 14231, 538, 513, 8891, 686, 8670, 585, 519, 1101, 942, 563, 2108, 22546, 540, 966, 698, 1400, 590, 843, 523, 2378, 559, 593, 519, 4934, 2492, 540, 769, 23554, 549, 674, 1068, 16478, 630, 4353, 293, 264, 2991, 13038, 10001, 293, 674, 841, 999, 5900, 30744, 547, 18648, 7736, 2210, 7434, 4886, 892, 630, 1220, 273, 1070, 676, 2983, 32015, 15593, 543, 11518, 9445, 674, 27688, 454, 12867, 2983, 32015, 15593, 543, 11518, 9445, 674, 27688, 5795, 22870, 27558, 267, 849, 1634, 607, 521, 843, 523, 2378, 559, 267, 547, 2021, 18460, 12680, 2126, 547, 1449, 2436, 519, 6646, 1223, 2087, 12680, 543, 6379, 3928, 269, 634, 3173, 6069, 602, 22870, 27558, 267, 3335, 8612, 547, 1521, 16245, 850, 14524, 538, 2367, 267, 1131, 948, 2021, 609, 513, 1686, 540, 8959, 2250, 12680, 5574, 676, 5394, 2287, 741, 26707, 7434, 16298, 267, 799, 568, 519, 4494, 540, 5160, 538, 519, 19786, 1141, 606, 21872, 18032, 1282, 6379, 269, 0, 2171, 5206, 827, 519, 4950, 689, 2230, 19108, 267, 715, 758, 807, 568, 12777, 2469, 1256, 2417, 676, 2679, 513, 5985, 3060, 593, 519, 7599, 269, 634, 25227, 2754, 814, 1044, 5697, 676, 519, 2230, 8116, 8331, 547, 1628, 519, 1360, 1101, 5985, 3060, 593, 519, 7599, 269, 1403, 596, 4755, 547, 1305, 3723, 593, 519, 7599, 1369, 513, 1906, 1296, 267, 596, 666, 2671, 602, 2027, 2680, 609, 519, 1158, 7064, 547, 519, 476, 275, 294, 2029, 602, 715, 758, 807, 568, 16459, 972, 269, 901, 3060, 568, 851, 540, 8331, 685, 320, 3203, 28087, 1982, 267, 609, 799, 621, 6499, 547, 3142, 1004, 1394, 547, 519, 7599, 689, 476, 1708, 275, 269, 9320, 519, 5685, 985, 1810, 1406, 1118, 519, 1655, 5498, 29818, 11436, 15042, 267, 741, 3060, 4066, 616, 3833, 14262, 563, 31636, 689, 519, 7599, 454, 301, 758, 807, 779, 13852, 6997, 338, 6498, 786, 1376, 2679, 713, 2027, 3060, 593, 519, 7599, 538, 476, 1708, 273, 269, 1635, 519, 1259, 267, 1100, 1480, 814, 547, 2951, 547, 519, 7599, 585, 602, 267, 1317, 621, 568, 2366, 609, 513, 7599, 2244, 518, 269, 4340, 547, 715, 758, 807, 267, 519, 3060, 3888, 338, 543, 8848, 999, 3294, 19952, 269, 901, 3060, 1287, 2488, 1271, 2792, 3681, 267, 2523, 1271, 585, 3388, 543, 3025, 593, 519, 7599, 269, 6056, 540, 9013, 16264, 2244, 619, 267, 1483, 6066, 12445, 543, 18297, 3381, 19827, 1500, 593, 519, 7599, 269, 715, 758, 807, 779, 700, 15288, 3060, 5116, 593, 9855, 568, 519, 2062, 14725, 1676, 540, 476, 276, 294, 543, 23679, 14018, 547, 1683, 519, 12616, 14479, 602, 20691, 991, 269, 7605, 1824, 593, 3135, 786, 4166, 581, 2111, 547, 5968, 609, 1142, 824, 811, 3362, 7064, 547, 519, 4417, 540, 713, 3060, 563, 763, 1482, 700, 15288, 630, 16524, 12910, 12472, 264, 4066, 602, 723, 3177, 721, 593, 3047, 609, 10408, 1239, 543, 10912, 7207, 585, 519, 2250, 476, 1015, 1296, 616, 1631, 1031, 676, 715, 758, 807, 585, 10618, 538, 2230, 543, 593, 519, 7599, 269, 700, 15288, 568, 513, 8810, 3811, 2029, 543, 568, 1031, 5001, 269, 715, 758, 807, 4566, 547, 10131, 609, 476, 275, 294, 543, 2663, 1256, 476, 276, 294, 593, 519, 7599, 269, 0, 2690, 9937, 540, 5215, 540, 661, 4471, 7264, 267, 1569, 547, 2635, 267, 10097, 3536, 568, 513, 1483, 4161, 269, 5253, 24301, 267, 2687, 547, 519, 2136, 2276, 4972, 540, 11982, 267, 616, 606, 1858, 1141, 693, 2547, 476, 3451, 2600, 540, 7264, 2661, 835, 13304, 610, 811, 689, 519, 14282, 17365, 4558, 610, 2706, 21466, 563, 15933, 24301, 4043, 547, 581, 811, 13671, 538, 1970, 13867, 267, 12102, 16973, 267, 1141, 7264, 1419, 3668, 1569, 547, 513, 6174, 610, 6325, 6283, 269, 2060, 7864, 2706, 5658, 1115, 543, 17365, 8637, 543, 513, 2362, 5834, 540, 1507, 13418, 8637, 4092, 538, 1426, 24301, 267, 1569, 547, 2635, 267, 10097, 3536, 568, 513, 3395, 1966, 269, 3509, 7944, 8637, 2709, 3810, 9268, 267, 26437, 267, 1164, 19339, 267, 1164, 1606, 5306, 610, 1164, 1606, 13610, 1426, 543, 10425, 269, 9453, 1569, 547, 519, 3536, 602, 1118, 909, 513, 2635, 2732, 267, 2043, 616, 811, 2693, 547, 581, 14968, 267, 1995, 4057, 1072, 267, 543, 723, 2799, 4220, 540, 1082, 3676, 267, 971, 607, 3987, 267, 2295, 2068, 543, 2860, 269, 634, 661, 4471, 6019, 4972, 540, 2657, 568, 2324, 547, 1118, 2635, 267, 4264, 9283, 538, 938, 2146, 998, 2069, 267, 13319, 543, 2146, 23793, 563, 3383, 875, 798, 596, 917, 952, 596, 2661, 538, 513, 1426, 9390, 286, 634, 22340, 779, 5253, 7457, 3194, 25304, 568, 513, 1863, 1907, 602, 2636, 596, 547, 1294, 519, 4087, 540, 1426, 24301, 9170, 538, 519, 2197, 1107, 596, 666, 1256, 3406, 676, 2232, 269, 901, 1907, 2636, 596, 547, 1294, 2127, 540, 1970, 4747, 543, 1970, 1569, 630, 2421, 3845, 543, 6174, 1569, 1070, 538, 1840, 547, 14829, 1344, 676, 14467, 513, 2016, 1858, 563, 4910, 1545, 1280, 6732, 590, 2793, 303, 623, 3420, 1162, 454, 1103, 12425, 267, 7264, 945, 4309, 590, 2793, 303, 27582, 6630, 616, 1631, 2111, 547, 4444, 590, 2793, 303, 14718, 3536, 543, 10425, 2228, 998, 9546, 27926, 543, 8835, 269, 1452, 2640, 666, 849, 581, 1031, 547, 4444, 2371, 543, 5452, 547, 1332, 1426, 693, 1753, 269, 901, 568, 513, 1390, 1259, 547, 1205, 1426, 952, 596, 2661, 538, 513, 1426, 9390, 610, 616, 8572, 547, 1118, 621, 547, 707, 14282, 17365, 4558, 269, 1280, 811, 1344, 267, 5225, 2638, 856, 891, 2200, 281, 0, 763, 13653, 540, 519, 4139, 18639, 4659, 538, 3127, 267, 9040, 14505, 9093, 517, 568, 3743, 585, 8744, 2413, 10649, 547, 519, 4639, 269, 589, 5065, 540, 519, 1533, 540, 8496, 27256, 21423, 538, 3127, 267, 9093, 517, 4607, 1010, 4110, 538, 6138, 689, 12370, 2160, 543, 1287, 13736, 10649, 585, 936, 476, 736, 1296, 538, 519, 22615, 18885, 3148, 540, 3127, 269, 4825, 9506, 547, 3127, 547, 10131, 519, 18639, 4659, 538, 476, 3422, 276, 267, 9093, 517, 4810, 513, 2981, 1049, 3134, 13023, 1415, 1247, 1199, 23550, 693, 519, 10723, 5757, 717, 5190, 269, 1261, 7691, 602, 519, 3504, 4095, 24866, 602, 1185, 11461, 1864, 782, 1010, 1272, 941, 18106, 1510, 2413, 7215, 563, 3891, 3964, 519, 4659, 547, 4196, 607, 513, 8115, 1063, 5101, 543, 4639, 267, 10771, 1312, 519, 5289, 2640, 6508, 689, 513, 6986, 1106, 540, 10649, 543, 519, 4052, 2115, 540, 8723, 1004, 538, 519, 4207, 1158, 269, 7073, 18639, 267, 799, 568, 6026, 693, 519, 18639, 4659, 267, 10905, 519, 7096, 10752, 540, 3504, 3127, 609, 519, 4030, 540, 7262, 3744, 543, 1514, 3744, 269, 2755, 930, 1522, 13498, 713, 1935, 607, 513, 4984, 267, 9093, 517, 12034, 621, 607, 513, 1505, 540, 2713, 1107, 835, 1759, 593, 519, 9015, 540, 3168, 856, 585, 1142, 1268, 14350, 543, 1739, 1010, 610, 1200, 1378, 2619, 538, 1272, 269, 769, 824, 1913, 267, 519, 4651, 540, 2413, 10649, 3610, 9093, 517, 11099, 602, 1142, 1268, 1590, 3605, 543, 1246, 1010, 610, 1200, 1378, 2619, 538, 1272, 269, 901, 1259, 267, 519, 1367, 666, 3035, 8788, 543, 13884, 563, 3080, 540, 519, 1034, 9565, 18971, 540, 2413, 10649, 568, 4793, 534, 329, 8932, 269, 19612, 607, 519, 2278, 610, 23266, 540, 10649, 267, 4793, 534, 329, 8932, 568, 849, 6444, 607, 519, 4651, 540, 7362, 5751, 267, 16095, 6652, 543, 519, 10649, 607, 3570, 269, 4340, 547, 9093, 517, 267, 4793, 534, 329, 8932, 19424, 539, 3670, 4998, 4703, 281, 590, 3430, 9366, 267, 23111, 553, 267, 13804, 320, 267, 14076, 320, 543, 715, 597, 341, 3570, 269, 4014, 646, 2760, 1031, 891, 2474, 547, 14377, 519, 2495, 540, 1010, 10649, 521, 583, 6652, 267, 646, 3769, 873, 538, 1010, 10752, 865, 602, 3988, 1131, 581, 5432, 609, 519, 2035, 563, 5194, 4651, 540, 2413, 10649, 4116, 568, 3220, 269, 4427, 597, 13850, 846, 269, 2755, 1034, 5640, 5491, 3220, 269, 4427, 597, 13850, 846, 609, 10962, 10649, 547, 6628, 267, 646, 2965, 6026, 519, 2296, 1893, 1362, 547, 513, 2824, 1895, 540, 1977, 15446, 529, 269, 2290, 540, 519, 1101, 1919, 602, 519, 15446, 529, 1705, 729, 6338, 519, 4480, 540, 968, 332, 656, 571, 892, 610, 17279, 540, 10723, 1913, 610, 513, 10723, 16051, 571, 269, 1261, 729, 849, 606, 1271, 23784, 547, 519, 1646, 540, 519, 607, 3570, 610, 2168, 2022, 999, 1031, 676, 2413, 1554, 10649, 3610, 543, 1053, 563, 288, 1906, 2367, 945, 6766, 3220, 269, 4427, 597, 13850, 846, 616, 645, 14389, 2529, 269, 570, 9500, 1690, 328, 267, 808, 12991, 269, 717, 758, 3121, 267, 4210, 9564, 667, 1506, 534, 27707, 523, 267, 717, 2246, 600, 267, 543, 1866, 269, 4107, 540, 873, 941, 8036, 15446, 529, 543, 5340, 741, 607, 11446, 543, 929, 534, 599, 24252, 538, 513, 1259, 602, 12006, 519, 4276, 1063, 519, 607, 11446, 543, 519, 4514, 5289, 4555, 540, 519, 17024, 269, 1452, 3610, 5795, 2413, 10649, 922, 2012, 281, 18639, 609, 18639, 563, 294, 2246, 4821, 17700, 267, 519, 4651, 540, 13221, 538, 3127, 267, 568, 6444, 607, 519, 4651, 540, 13221, 267, 855, 972, 616, 930, 945, 2161, 621, 729, 590, 1342, 14390, 320, 17700, 269, 898, 1058, 581, 7074, 602, 1247, 519, 4651, 540, 10649, 2022, 999, 543, 10649, 929, 534, 599, 4821, 616, 2808, 1360, 1271, 3344, 540, 10649, 267, 621, 1058, 711, 581, 11821, 609, 519, 2165, 2048, 289, 3291, 3873, 9957, 1703, 616, 2965, 1082, 3610, 540, 2221, 945, 616, 19101, 547, 581, 519, 13653, 540, 13221, 269, 634, 5168, 568, 602, 590, 1342, 14390, 320, 17700, 2451, 1010, 1665, 593, 3127, 779, 2528, 1454, 4505, 982, 645, 11065, 2529, 563, 2691, 7234, 519, 4651, 540, 2413, 10649, 3610, 267, 835, 1590, 1331, 717, 2246, 4821, 17700, 269, 3571, 10752, 723, 1185, 7096, 3310, 593, 519, 4720, 540, 519, 4095, 5289, 2245, 269, 898, 1058, 581, 7074, 602, 3220, 269, 717, 2246, 4821, 17700, 267, 849, 1572, 717, 2246, 4821, 13225, 698, 822, 10620, 267, 729, 4535, 538, 3127, 779, 9456, 1533, 540, 7203, 333, 987, 693, 519, 942, 540, 519, 2063, 4622, 540, 715, 7701, 630, 298, 20076, 264, 540, 519, 715, 7701, 15438, 269, 901, 19036, 569, 1533, 729, 13883, 538, 18310, 269, 2991, 1373, 22961, 5367, 547, 930, 10649, 3610, 538, 3127, 267, 717, 2246, 4821, 17700, 6410, 547, 18310, 1141, 646, 2968, 513, 1200, 2466, 543, 5030, 538, 694, 2424, 585, 1079, 5756, 269, 4438, 713, 942, 646, 30363, 519, 1521, 1047, 2048, 303, 571, 329, 333, 777, 3120, 13850, 761, 320, 685, 630, 29973, 338, 540, 16217, 2358, 519, 29831, 1916, 763, 2262, 18639, 267, 2495, 962, 5803, 543, 28687, 1484, 532, 267, 729, 1031, 676, 717, 2246, 4821, 17700, 547, 2697, 1010, 10752, 269, 2991, 2713, 538, 694, 2424, 585, 936, 1079, 1296, 267, 646, 729, 14059, 676, 513, 27041, 543, 4280, 547, 3262, 519, 2262, 540, 1010, 10752, 269, 4014, 646, 17379, 519, 2709, 267, 646, 19622, 547, 1010, 1200, 2466, 720, 543, 3459, 547, 4050, 1524, 1010, 4555, 593, 519, 2619, 547, 19802, 689, 8474, 547, 561, 755, 267, 6159, 1324, 543, 22293, 269, 769, 519, 2038, 1296, 540, 1010, 5692, 267, 891, 1913, 941, 5293, 1524, 547, 1906, 2824, 521, 1137, 269, 1452, 521, 1137, 3769, 4210, 9564, 667, 1506, 534, 27707, 523, 267, 4793, 534, 329, 8932, 267, 2806, 327, 21531, 13225, 553, 2742, 543, 717, 2246, 4821, 17700, 269, 0, 2691, 649, 1589, 827, 1582, 16477, 267, 649, 1589, 827, 875, 1390, 1870, 2029, 568, 267, 875, 1454, 1732, 621, 666, 581, 267, 543, 875, 1454, 789, 616, 2469, 547, 1118, 538, 519, 2104, 563, 6546, 779, 835, 540, 519, 4128, 621, 779, 16168, 875, 621, 4667, 899, 649, 2461, 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 ]

[ 8037, 2460, 540, 9894, 328, 779, 4876, 2619, 568, 1200, 5912, 689, 2324, 607, 513, 21044, 5619, 13798, 518, 547, 4742, 513, 1291, 16461, 3438, 269, 901, 6521, 8711, 519, 2956, 540, 16565, 3309, 1983, 543, 2833, 547, 4434, 24015, 538, 5256, 26730, 3990, 4610, 899, 2344, 1382, 269, 5047, 267, 621, 19156, 519, 1761, 2640, 540, 30023, 3292, 543, 2866, 7341, 2966, 4481, 585, 2021, 5275, 5718, 5107, 780, 4913, 267, 8236, 16057, 10688, 1869, 3340, 29270, 24245, 7496, 12082, 538, 4008, 9186, 269, 769, 1931, 547, 8011, 267, 2021, 1419, 3068, 2604, 547, 14883, 547, 30566, 545, 16431, 540, 7682, 4369, 543, 28211, 1107, 10305, 3335, 2404, 609, 27828, 269, 2311, 519, 1482, 942, 267, 789, 1981, 1394, 31988, 952, 9228, 607, 1932, 10728, 610, 16529, 269, 1677, 6330, 891, 32475, 3927, 267, 4648, 899, 9894, 328, 1590, 11766, 7580, 1582, 1790, 19948, 12485, 602, 3666, 13597, 609, 10220, 780, 11101, 267, 5103, 3356, 2509, 3152, 4008, 9698, 267, 930, 6080, 3136, 547, 18848, 3297, 269, 1280, 1383, 267, 13241, 630, 14396, 267, 2029, 267, 4702, 267, 543, 6128, 264, 10459, 2611, 8185, 7729, 14954, 2509, 5256, 7589, 267, 17923, 14461, 15523, 1063, 2930, 543, 2571, 1983, 269, 769, 3210, 267, 14223, 3646, 3366, 676, 3906, 971, 607, 21989, 5808, 8943, 543, 28985, 6468, 22895, 832, 2832, 547, 24905, 548, 11475, 543, 3895, 4763, 538, 3872, 27983, 269, 1452, 7459, 6542, 519, 2565, 1909, 5129, 676, 29065, 5322, 538, 6117, 1689, 693, 1312, 2890, 543, 12550, 2157, 780, 6962, 281, 16871, 16844, 543, 769, 12807, 538, 4317, 3163, 3194, 692, 3528, 6313, 519, 1272, 543, 4876, 540, 9894, 328, 267, 938, 14070, 2943, 11347, 4137, 267, 713, 1576, 1770, 3091, 2629, 4030, 883, 519, 1950, 6384, 5935, 575, 25311, 4074, 538, 1514, 2257, 1382, 269, 3414, 6297, 3498, 540, 1883, 2035, 689, 15594, 3069, 267, 649, 1451, 875, 6946, 3157, 540, 3961, 5250, 267, 1379, 19908, 267, 543, 4187, 11200, 1369, 1808, 12250, 8658, 269, 11086, 267, 8508, 4763, 543, 13784, 14122, 5807, 12581, 3889, 543, 4529, 602, 11760, 519, 7418, 543, 4145, 540, 782, 2818, 1107, 7488, 540, 4008, 267, 5198, 267, 1362, 267, 610, 824, 12508, 540, 3017, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 12441, 328, 568, 938, 11285, 1291, 16461, 3438, 585, 1585, 2010, 540, 1382, 971, 607, 1445, 2516, 267, 538, 3178, 11042, 267, 6049, 12220, 267, 2228, 11042, 543, 811, 269, 4173, 11108, 1983, 538, 713, 1858, 2327, 649, 3717, 547, 519, 1318, 1004, 538, 519, 1318, 1259, 267, 2870, 3972, 10290, 1465, 538, 519, 960, 649, 798, 543, 7393, 1788, 1967, 585, 938, 7218, 269, 9894, 328, 814, 1044, 609, 15859, 543, 2601, 585, 476, 1724, 1296, 267, 1141, 1352, 849, 5249, 607, 21044, 5619, 13798, 518, 540, 8231, 520, 574, 6114, 799, 814, 2016, 1200, 513, 3638, 1620, 540, 875, 1004, 4431, 547, 12220, 563, 2026, 1291, 16461, 3438, 267, 9894, 328, 814, 1995, 538, 1082, 2229, 3785, 267, 9235, 267, 7082, 5370, 267, 6683, 267, 543, 1256, 519, 811, 6213, 1858, 540, 16461, 1746, 585, 24133, 2533, 1382, 269, 589, 2487, 1788, 9894, 328, 568, 2523, 10583, 540, 568, 2348, 5249, 607, 1291, 16461, 3438, 593, 513, 1804, 4336, 3084, 1788, 1472, 519, 2360, 593, 2950, 540, 1232, 12365, 5314, 543, 5599, 2030, 9505, 23957, 538, 519, 1847, 547, 4880, 20023, 563, 25387, 267, 9894, 328, 568, 519, 1292, 1448, 540, 3346, 585, 1776, 1804, 1606, 8619, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 14298, 18426, 13316, 1315, 6468, 781, 5525, 1315, 12339, 21442, 7869, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 7170, 281, 4197, 23398, 10263, 10495, 630, 293, 10621, 2567, 29955, 3776, 14886, 5269, 14568, 932, 7860, 2439, 5970, 596, 2479, 9289, 1946, 707, 2828, 1522, 957, 8335, 538, 1114, 3871, 286, 9320, 835, 3659, 4991, 2731, 25064, 1282, 2257, 1362, 855, 13978, 9602, 1282, 2979, 269, 2107, 5310, 1776, 3659, 2141, 6499, 547, 1694, 693, 519, 4395, 540, 519, 1668, 855, 27422, 519, 1394, 950, 789, 2811, 16304, 856, 609, 741, 25097, 269, 4658, 13789, 8335, 4470, 593, 1141, 789, 616, 543, 1018, 789, 1616, 547, 3035, 1107, 1256, 3214, 899, 721, 2439, 1103, 713, 3184, 267, 649, 3513, 1451, 827, 1945, 1572, 834, 293, 23341, 10263, 10495, 2437, 610, 674, 10621, 585, 2110, 269, 1323, 674, 10621, 2337, 4079, 1174, 1946, 2576, 31136, 513, 1978, 1259, 865, 789, 666, 948, 873, 1118, 1732, 5079, 269, 898, 6212, 593, 23115, 856, 519, 3483, 3297, 513, 1268, 781, 3527, 267, 799, 568, 849, 1634, 607, 519, 834, 10818, 1701, 2913, 781, 2736, 1524, 1018, 4422, 883, 606, 674, 10621, 1900, 676, 1900, 1384, 3721, 476, 272, 281, 10576, 519, 4101, 2623, 454, 5575, 267, 6738, 13522, 991, 547, 4137, 856, 799, 1808, 2623, 2115, 930, 3063, 3007, 269, 1280, 1383, 267, 6148, 938, 3659, 814, 8373, 9361, 1869, 1282, 4245, 269, 4495, 789, 917, 4010, 1018, 2623, 547, 1445, 593, 267, 621, 781, 942, 547, 1847, 593, 547, 5153, 476, 273, 780, 3721, 476, 273, 281, 27297, 519, 2623, 454, 9202, 909, 267, 11287, 1797, 9878, 1360, 2673, 3007, 547, 950, 543, 1141, 519, 2623, 4523, 269, 1924, 952, 938, 530, 580, 16744, 3659, 9620, 547, 3251, 27206, 267, 6738, 13522, 1131, 1491, 4967, 593, 1919, 899, 950, 621, 2356, 4386, 630, 3697, 1310, 12899, 5503, 1070, 875, 1279, 621, 16569, 267, 543, 945, 3116, 568, 1472, 269, 1452, 7422, 948, 5862, 513, 2312, 4605, 540, 519, 3510, 780, 3721, 476, 274, 281, 14419, 519, 1599, 454, 3086, 2501, 519, 2629, 851, 910, 1620, 1946, 519, 2623, 568, 8345, 269, 1772, 938, 3659, 3001, 1472, 1317, 789, 2811, 2407, 540, 1648, 1310, 4189, 286, 2107, 6148, 789, 1265, 519, 3992, 19309, 543, 991, 1945, 811, 4277, 547, 1832, 5059, 269, 1635, 3168, 693, 3270, 538, 741, 2623, 543, 519, 2621, 4478, 621, 267, 6738, 13522, 666, 1376, 547, 1294, 1018, 1522, 581, 4929, 621, 780, 3721, 476, 275, 281, 3763, 513, 1544, 454, 5629, 972, 781, 513, 1434, 2856, 540, 1946, 519, 2623, 568, 9648, 267, 6738, 13522, 666, 1711, 513, 1544, 547, 1489, 938, 3659, 269, 1358, 1522, 2303, 2110, 9397, 1063, 4245, 267, 1683, 535, 573, 1326, 2645, 267, 610, 960, 609, 3610, 547, 1118, 1565, 2326, 811, 2502, 269, 12697, 899, 891, 2285, 1004, 1007, 2081, 547, 2743, 741, 2115, 1510, 759, 15659, 547, 4101, 5615, 780, 3383, 3314, 267, 1175, 899, 1142, 540, 721, 21593, 1114, 2238, 543, 5396, 693, 1153, 267, 3025, 814, 2189, 4128, 585, 9117, 519, 1259, 789, 798, 269, 1656, 1631, 602, 649, 917, 782, 827, 23398, 10263, 8178, 906, 267, 649, 666, 5660, 875, 1271, 621, 568, 547, 2015, 1346, 4128, 950, 4543, 1866, 1118, 1732, 5079, 269, 2991, 782, 267, 1620, 5012, 547, 11587, 267, 9639, 267, 543, 6793, 17052, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 347, 24874, 625, 855, 6153, 625, 281, 3427, 10241, 540, 25839, 3194, 538, 11930, 10263, 5811, 454, 23277, 10185, 267, 2904, 476, 4029, 267, 476, 1001, 271, 454, 347, 274, 281, 876, 6751, 1700, 275, 281, 736, 6751, 454, 30106, 1410, 553, 11831, 3336, 6428, 517, 667, 630, 294, 8681, 5754, 3430, 994, 347, 22704, 281, 11581, 290, 282, 23792, 281, 11930, 10263, 5811, 454, 347, 2419, 1515, 281, 30960, 595, 269, 645, 545, 731, 630, 17206, 540, 6490, 874, 529, 994, 347, 28097, 656, 281, 30960, 595, 269, 645, 545, 731, 630, 17206, 540, 6490, 874, 529, 994, 347, 4753, 26189, 528, 281, 3627, 16907, 516, 549, 267, 1912, 6185, 563, 347, 20082, 281, 901, 1623, 24007, 786, 13686, 1614, 556, 4124, 543, 24909, 540, 5929, 1382, 538, 4294, 2623, 2079, 269, 5565, 2090, 6542, 602, 1895, 20218, 20314, 4293, 630, 294, 8016, 264, 543, 1599, 2861, 7459, 666, 581, 1031, 676, 4928, 3610, 547, 2333, 3617, 2623, 540, 1053, 609, 3929, 543, 8965, 4713, 269, 634, 1101, 1353, 1336, 602, 606, 25191, 22524, 8817, 717, 8016, 267, 513, 4999, 540, 4830, 543, 22524, 8817, 717, 8016, 267, 2799, 4081, 1449, 8464, 543, 2623, 540, 1053, 609, 3929, 543, 2623, 4713, 538, 513, 10821, 4259, 269, 634, 2034, 1353, 11567, 519, 12117, 540, 7459, 6508, 689, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 293, 23341, 10263, 10495, 630, 293, 10621, 17983, 607, 851, 540, 834, 3633, 24102, 1315, 19884, 5004, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8136, 2418, 616, 5718, 282, 5718, 568, 8136, 2418, 563, 763, 8136, 2418, 616, 5718, 282, 5718, 568, 8136, 2418, 11053, 4711, 281, 645, 332, 342, 6355, 4643, 310, 904, 1677, 1230, 2850, 1323, 4828, 769, 5053, 3721, 338, 1280, 5675, 589, 3194, 7433, 769, 5664, 3427, 27287, 15154, 18873, 1280, 14146, 619, 16240, 11426, 31207, 4911, 983, 329, 338, 31807, 3539, 1323, 4828, 454, 1103, 5758, 4986, 6941, 700, 5819, 1399, 1732, 982, 519, 8136, 779, 4214, 968, 289, 792, 3020, 5132, 543, 14336, 4800, 547, 519, 772, 269, 11156, 267, 519, 8136, 267, 543, 824, 7980, 1848, 667, 14280, 568, 547, 3274, 968, 293, 5285, 650, 707, 13800, 1848, 23560, 707, 10279, 568, 811, 982, 8876, 856, 4247, 596, 616, 8655, 269, 8136, 568, 7683, 538, 5163, 1813, 547, 519, 991, 547, 2347, 1082, 13485, 3232, 563, 291, 14280, 1797, 1373, 2111, 547, 2347, 4247, 607, 851, 540, 513, 2319, 269, 12143, 1310, 7084, 16432, 593, 1283, 540, 835, 1776, 568, 1018, 649, 798, 1875, 17380, 2429, 938, 7952, 11678, 563, 9827, 5355, 741, 2773, 568, 513, 13766, 547, 1118, 513, 811, 7123, 1770, 269, 1131, 1376, 609, 700, 5819, 1399, 281, 19594, 3020, 5132, 543, 14336, 4800, 547, 519, 772, 269, 9139, 267, 519, 8136, 267, 707, 1770, 543, 824, 22307, 4536, 269, 2339, 540, 8876, 856, 267, 9117, 267, 543, 2713, 519, 2418, 540, 2463, 267, 10279, 267, 14017, 267, 1582, 1652, 3028, 267, 8699, 267, 543, 2123, 10100, 538, 3388, 596, 798, 4429, 4910, 1051, 568, 547, 968, 307, 805, 1004, 607, 789, 1058, 581, 5701, 1848, 5272, 17199, 568, 3743, 585, 8156, 824, 1004, 609, 15683, 543, 2463, 563, 4002, 519, 2816, 610, 1055, 621, 568, 938, 5539, 607, 7980, 547, 6529, 9244, 547, 519, 18599, 11759, 8136, 18880, 563, 8266, 539, 2630, 616, 519, 18599, 11759, 8136, 18880, 543, 875, 789, 4019, 547, 938, 2816, 538, 519, 2136, 2276, 8136, 269, 2710, 532, 1018, 707, 5143, 849, 2982, 707, 14017, 547, 707, 5718, 543, 707, 1770, 269, 700, 5819, 1399, 568, 513, 8984, 602, 3112, 581, 7142, 2390, 513, 17199, 998, 10751, 11482, 5819, 1399, 568, 2919, 998, 3972, 689, 824, 7980, 1472, 596, 267, 2523, 707, 2706, 12542, 269, 10144, 3006, 798, 711, 8275, 519, 2956, 891, 2418, 723, 593, 519, 1259, 649, 616, 9763, 676, 519, 1004, 945, 1413, 909, 547, 519, 2367, 543, 4807, 945, 616, 29341, 2614, 547, 2099, 519, 2136, 2276, 8136, 676, 9849, 713, 7833, 269, 6624, 1004, 917, 1018, 519, 1913, 700, 5819, 1399, 267, 667, 14280, 267, 21727, 267, 8682, 1652, 6796, 267, 27254, 267, 6715, 31772, 267, 543, 9608, 595, 5971, 1611, 269, 1403, 596, 11963, 856, 5718, 607, 700, 11403, 17239, 7709, 267, 1142, 835, 540, 1346, 5022, 28542, 856, 519, 8136, 2418, 281, 700, 5819, 1399, 267, 667, 14280, 267, 21727, 267, 8682, 1652, 3028, 267, 27254, 267, 6715, 31772, 267, 543, 9608, 10100, 7868, 8136, 814, 2141, 1185, 2418, 267, 6580, 1394, 547, 31578, 13153, 6008, 889, 523, 693, 9503, 1280, 613, 538, 476, 10082, 279, 950, 646, 3964, 1346, 10305, 543, 7592, 602, 606, 715, 4596, 1058, 723, 11482, 5819, 1399, 568, 547, 968, 289, 792, 3020, 5132, 543, 14336, 4800, 547, 519, 772, 269, 11156, 267, 519, 8136, 267, 543, 824, 7980, 1848, 645, 8960, 3020, 5132, 543, 14336, 4800, 568, 18468, 538, 543, 1821, 7627, 3054, 547, 1945, 610, 2576, 269, 2414, 581, 513, 10121, 22307, 1512, 568, 547, 1489, 519, 5718, 543, 3972, 519, 3527, 789, 1491, 607, 3401, 269, 22307, 1512, 5020, 4438, 634, 6406, 2782, 634, 3786, 1272, 585, 513, 17199, 729, 15991, 835, 547, 3267, 17730, 3972, 786, 5512, 513, 17199, 547, 1020, 14017, 538, 741, 1770, 543, 741, 5832, 540, 4971, 20216, 680, 1622, 700, 5819, 1399, 568, 3989, 607, 267, 968, 23322, 1242, 676, 610, 6029, 5132, 6888, 547, 19647, 267, 642, 3298, 267, 14336, 4800, 267, 13800, 267, 3092, 1848, 12462, 299, 5819, 1399, 5608, 476, 1001, 273, 267, 533, 269, 1879, 596, 6443, 519, 4108, 596, 1491, 606, 522, 987, 543, 2220, 792, 602, 596, 786, 7703, 3020, 5132, 543, 14336, 4800, 547, 707, 2197, 267, 519, 5518, 540, 519, 2136, 2276, 267, 543, 519, 10492, 12912, 936, 596, 269, 0, 763, 1699, 3621, 2090, 616, 11589, 602, 519, 1292, 1267, 538, 540, 17163, 23927, 547, 5739, 11955, 568, 25189, 676, 9001, 519, 9907, 6752, 539, 1259, 540, 26349, 519, 19271, 1818, 946, 540, 519, 11149, 269, 12769, 31531, 519, 19271, 666, 581, 20399, 811, 602, 666, 1291, 547, 519, 24694, 543, 21383, 720, 269, 1403, 891, 24694, 610, 21383, 720, 568, 711, 4362, 3533, 789, 8764, 622, 519, 1604, 3833, 24847, 543, 666, 581, 5906, 547, 519, 4600, 945, 616, 8647, 538, 891, 2949, 1072, 2126, 4559, 621, 568, 849, 14686, 585, 519, 7218, 945, 616, 8391, 11257, 538, 891, 3782, 3906, 563, 763, 15053, 995, 11955, 616, 3351, 2213, 607, 513, 2596, 12146, 538, 513, 2603, 540, 3811, 11955, 799, 616, 14475, 538, 891, 4213, 269, 634, 4600, 945, 616, 5665, 538, 519, 1134, 1373, 2126, 3631, 723, 9505, 16133, 609, 891, 20715, 6527, 602, 779, 1946, 789, 616, 538, 2484, 811, 3463, 982, 24455, 3116, 1813, 547, 519, 1249, 789, 5631, 2709, 609, 891, 6527, 269, 634, 1849, 2216, 26435, 10684, 18734, 15733, 616, 519, 1034, 11327, 4559, 799, 616, 16887, 3812, 585, 519, 2596, 3106, 585, 519, 10986, 945, 616, 2324, 609, 891, 6527, 666, 4389, 519, 12178, 540, 1401, 1842, 999, 547, 667, 836, 2730, 5061, 269, 901, 4480, 3091, 2347, 4027, 585, 519, 5520, 543, 16984, 945, 1685, 538, 4483, 540, 6527, 543, 10411, 3191, 269, 634, 1744, 583, 3590, 10684, 18734, 15733, 814, 9505, 19970, 1115, 602, 666, 27464, 2312, 540, 23139, 21383, 720, 610, 24694, 2429, 7245, 4859, 267, 3075, 4058, 267, 3892, 267, 6283, 267, 3653, 3797, 543, 12871, 563, 2467, 616, 4179, 2517, 14075, 529, 1633, 5793, 6761, 2593, 7933, 564, 2135, 270, 6918, 545, 617, 821, 268, 5417, 2109, 270, 540, 1744, 583, 5358, 10684, 18734, 20905, 616, 6035, 538, 519, 2344, 269, 1452, 19269, 616, 3833, 2500, 538, 9013, 519, 25354, 540, 1401, 1842, 999, 547, 15053, 995, 5061, 269, 1452, 4559, 723, 9505, 11149, 543, 9126, 3489, 5370, 585, 519, 1981, 6954, 5478, 267, 4483, 543, 7245, 540, 20715, 2156, 24329, 563, 2975, 308, 6481, 4480, 814, 2966, 4027, 3937, 543, 1572, 607, 2637, 773, 269, 2637, 773, 568, 513, 9505, 267, 642, 658, 14092, 947, 2225, 1062, 602, 23366, 20383, 519, 642, 658, 2566, 269, 9406, 1310, 2921, 519, 1898, 2179, 540, 3075, 689, 519, 11480, 519, 17891, 23366, 21040, 543, 519, 3196, 568, 7059, 269, 4033, 3106, 2472, 568, 849, 9944, 1353, 543, 3833, 4166, 621, 786, 581, 2919, 543, 5189, 1354, 1279, 538, 519, 19458, 269, 0, 2414, 2307, 519, 14199, 540, 3557, 585, 5113, 267, 5253, 543, 22798, 16457, 1018, 4879, 646, 814, 1500, 540, 519, 1198, 593, 630, 320, 264, 519, 1604, 267, 630, 321, 264, 2777, 5777, 543, 630, 322, 264, 519, 2298, 540, 1272, 540, 9808, 9535, 563, 763, 9576, 5980, 543, 519, 9576, 9142, 540, 7177, 781, 1867, 968, 4537, 1446, 13937, 6987, 3555, 538, 519, 5177, 281, 513, 2689, 540, 17453, 5762, 1005, 5608, 3370, 538, 4873, 476, 1001, 273, 267, 11943, 602, 2825, 630, 663, 1072, 543, 3106, 264, 4220, 2404, 609, 17453, 5762, 1005, 1223, 581, 7307, 3927, 538, 519, 5177, 968, 553, 1279, 607, 10512, 1655, 2853, 616, 8045, 543, 24451, 998, 7939, 9731, 763, 6554, 568, 4867, 17265, 519, 5222, 540, 1648, 5989, 267, 1519, 32549, 3154, 10868, 267, 593, 519, 1604, 543, 519, 6917, 4346, 269, 901, 2882, 2360, 593, 2011, 2298, 267, 9265, 267, 8511, 9362, 267, 1072, 267, 2244, 946, 267, 2199, 1604, 2298, 267, 3653, 543, 1216, 269, 1306, 851, 540, 519, 2689, 267, 667, 9128, 6938, 814, 20827, 1382, 9236, 519, 2360, 799, 1114, 2010, 540, 1648, 5989, 949, 723, 593, 2777, 5777, 269, 898, 568, 4397, 602, 519, 2164, 540, 713, 2079, 786, 581, 3370, 2663, 713, 1032, 563, 763, 1764, 593, 2298, 540, 1272, 568, 2808, 607, 851, 540, 519, 2199, 4058, 1184, 269, 0, 6701, 596, 5461, 538, 1018, 568, 519, 6935, 1063, 3621, 6436, 543, 4641, 286, 3657, 596, 8049, 827, 875, 3621, 7744, 13333, 610, 1018, 568, 519, 1292, 22449, 28203, 540, 1169, 3621, 23221, 888, 4322, 616, 2152, 7282, 519, 13210, 540, 2257, 602, 729, 5631, 513, 6161, 540, 519, 10952, 6908, 540, 8298, 673, 2506, 2869, 545, 626, 610, 623, 21627, 643, 1235, 538, 519, 476, 736, 628, 2540, 543, 729, 519, 3490, 540, 519, 11944, 540, 519, 6138, 540, 2257, 538, 2489, 563, 763, 1576, 786, 5659, 519, 1739, 3584, 912, 268, 763, 6935, 540, 1893, 543, 4641, 454, 268, 634, 6935, 1063, 8343, 543, 3069, 5250, 454, 268, 763, 954, 21975, 540, 1757, 566, 543, 15632, 454, 268, 763, 14169, 540, 5274, 25705, 454, 268, 763, 2079, 540, 2093, 547, 10444, 24221, 281, 2241, 2093, 543, 1950, 2093, 543, 875, 789, 616, 4646, 689, 8343, 454, 268, 763, 1966, 540, 15632, 454, 268, 634, 4879, 540, 519, 5168, 610, 535, 1023, 640, 540, 10991, 3981, 1431, 454, 268, 763, 31602, 7744, 454, 268, 763, 9295, 540, 6138, 547, 519, 5748, 540, 2257, 454, 268, 763, 7453, 12170, 18879, 2509, 1893, 543, 922, 2035, 585, 519, 5250, 540, 6436, 454, 268, 763, 2357, 604, 6636, 6240, 454, 268, 763, 21205, 540, 2357, 604, 6636, 454, 268, 1692, 6101, 2409, 6766, 519, 8298, 673, 623, 21627, 643, 1235, 454, 9827, 267, 519, 1739, 2055, 786, 581, 8268, 912, 268, 1215, 8343, 3889, 938, 3621, 6436, 888, 268, 1692, 1757, 566, 568, 1644, 547, 3621, 7744, 454, 2914, 1002, 568, 519, 1966, 540, 15632, 543, 922, 6935, 547, 21465, 7744, 888, 268, 1432, 616, 25107, 3981, 1431, 888, 268, 1432, 616, 10991, 3981, 1431, 888, 268, 1548, 616, 10991, 513, 1991, 328, 3981, 1431, 543, 875, 789, 616, 1644, 547, 1995, 543, 8343, 888, 268, 4208, 6436, 1590, 4096, 593, 8343, 888, 2914, 1506, 25107, 3981, 1431, 616, 8209, 3020, 454, 23744, 267, 713, 1576, 786, 581, 1759, 593, 519, 13250, 540, 2093, 602, 8507, 538, 519, 11944, 540, 519, 10952, 3350, 540, 8298, 673, 10686, 6291, 543, 741, 4145, 827, 519, 13210, 540, 2257, 543, 922, 19862, 540, 3621, 6436, 454, 4415, 713, 1576, 267, 596, 786, 581, 2111, 547, 1174, 519, 1292, 2152, 1472, 519, 6138, 540, 2257, 2221, 543, 1118, 596, 5827, 540, 1210, 519, 1292, 10952, 2093, 540, 519, 6138, 540, 2257, 543, 25107, 6138, 547, 15052, 883, 2417, 2079, 543, 1382, 540, 519, 13210, 540, 2257, 585, 1346, 945, 616, 5461, 269, 634, 16610, 540, 1757, 566, 543, 875, 621, 568, 1644, 547, 3621, 23221, 786, 581, 9916, 269, 519, 6935, 1063, 519, 1893, 543, 4641, 786, 581, 540, 1292, 2079, 607, 856, 540, 713, 6935, 3621, 6436, 616, 9112, 543, 11295, 454, 2171, 786, 7747, 875, 3703, 10686, 6291, 781, 2093, 941, 23699, 676, 519, 8298, 673, 623, 21627, 643, 1235, 282, 875, 519, 2093, 540, 1955, 28609, 23006, 543, 519, 7835, 540, 519, 6101, 2409, 1369, 519, 10952, 14985, 540, 8298, 6291, 8507, 538, 519, 5137, 540, 513, 7453, 12170, 1893, 602, 814, 1312, 6101, 2934, 543, 12170, 3283, 543, 1031, 585, 519, 2079, 540, 3621, 3981, 1431, 563, 1607, 1576, 568, 5078, 585, 15938, 543, 18544, 1053, 540, 6138, 267, 3744, 945, 1616, 547, 2263, 519, 10952, 5717, 1472, 519, 2152, 7282, 519, 5748, 540, 2257, 607, 1134, 607, 14987, 609, 513, 2370, 1702, 540, 6138, 602, 1616, 547, 2263, 875, 6138, 666, 1523, 1302, 3565, 547, 519, 5748, 540, 3621, 23221, 543, 12191, 269, 0, 10112, 612, 539, 4247, 971, 607, 1576, 10467, 267, 3450, 2259, 7422, 543, 15645, 730, 11042, 616, 851, 543, 1612, 4897, 540, 782, 3355, 2866, 6030, 971, 607, 519, 595, 5085, 14011, 543, 12501, 307, 2464, 5357, 269, 1717, 267, 519, 2081, 538, 799, 4879, 568, 5645, 856, 949, 8428, 4470, 593, 519, 1576, 543, 1256, 519, 4099, 1141, 519, 1576, 568, 4371, 563, 23871, 6541, 5441, 5507, 538, 1880, 7512, 1576, 7426, 547, 3446, 12290, 960, 2687, 547, 519, 1826, 540, 1576, 799, 8255, 693, 1808, 18013, 267, 3842, 2312, 543, 6662, 21249, 7355, 282, 8638, 540, 519, 1883, 2609, 540, 606, 12290, 4062, 540, 960, 799, 666, 581, 11117, 547, 1397, 27466, 324 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 16509, 267, 543, 26814, 269, 1879, 596, 2490, 707, 1883, 610, 7903, 707, 7735, 547, 1376, 707, 1286, 267, 606, 3167, 1699, 10596, 998, 891, 3334, 799, 3123, 873, 547, 8095, 6385, 563, 1607, 5163, 5932, 2614, 3196, 547, 4497, 513, 10591, 538, 519, 8038, 20253, 601, 799, 7140, 936, 519, 1835, 3471, 3873, 1111, 540, 707, 2599, 27510, 13674, 543, 4358, 909, 707, 6174, 779, 4835, 13674, 1062, 269, 634, 6988, 540, 713, 1184, 3340, 4359, 4702, 865, 602, 782, 2694, 616, 5265, 13988, 950, 789, 2170, 609, 1142, 824, 1282, 27307, 282, 6382, 267, 4358, 1131, 1831, 2352, 952, 711, 7543, 563, 12234, 267, 2413, 6517, 1419, 723, 1896, 3606, 3106, 2934, 971, 607, 882, 904, 610, 1151, 523, 6950, 8704, 1063, 741, 26784, 543, 9075, 602, 948, 2149, 1996, 23139, 3441, 1813, 547, 7050, 6453, 15088, 610, 2110, 2275, 1844, 340, 1746, 2175, 3361, 676, 12816, 12904, 610, 25768, 4296, 563, 19119, 540, 853, 6621, 7763, 832, 454, 763, 25690, 5179, 4249, 606, 7533, 1909, 538, 513, 6174, 779, 27307, 1062, 269, 898, 568, 519, 5057, 602, 7620, 5036, 519, 2599, 538, 5163, 267, 3850, 10256, 547, 1379, 909, 741, 6517, 543, 5734, 519, 4155, 563, 763, 2640, 540, 2348, 513, 25690, 5179, 616, 3875, 282, 689, 3246, 6325, 4358, 1379, 547, 4227, 5957, 593, 824, 3334, 267, 1934, 616, 930, 540, 519, 1883, 5383, 912, 268, 20865, 4039, 6636, 281, 853, 6621, 16546, 1683, 5812, 543, 6325, 4358, 1379, 942, 1310, 942, 267, 1818, 873, 5458, 569, 6225, 585, 4948, 6117, 7653, 269, 901, 23352, 1022, 1761, 14331, 3361, 676, 17528, 547, 1376, 707, 1286, 1813, 547, 1970, 6007, 610, 4666, 3124, 1807, 2152, 563, 268, 25841, 23203, 1299, 570, 792, 281, 1306, 1134, 607, 5355, 10727, 267, 25690, 16546, 849, 948, 2569, 5957, 593, 824, 3334, 538, 513, 6174, 779, 27307, 1062, 1107, 971, 607, 8141, 11690, 338, 543, 2733, 12460, 11503, 1107, 676, 2921, 936, 1034, 540, 519, 2182, 960, 540, 3478, 707, 1286, 3323, 1142, 1554, 563, 268, 8779, 14205, 902, 281, 1635, 4180, 602, 782, 2694, 1369, 606, 27307, 1062, 616, 5665, 5688, 958, 609, 8766, 2566, 1373, 5116, 2390, 873, 267, 596, 666, 4688, 2724, 593, 14427, 18203, 1524, 519, 1899, 1107, 1945, 799, 568, 2523, 6225, 950, 621, 2501, 547, 4587, 6472, 609, 1164, 28902, 720, 9817, 2336, 763, 25690, 5179, 4249, 606, 7533, 1909, 538, 6174, 27307, 1949, 269, 898, 568, 3743, 585, 3246, 519, 3355, 16802, 540, 1648, 2877, 547, 1376, 513, 6174, 2599, 543, 814, 1044, 1031, 5051, 2094, 922, 4367, 538, 476, 4489, 273, 563, 1805, 6621, 16546, 616, 5827, 540, 6721, 3608, 543, 6325, 1379, 3977, 1247, 10438, 8766, 5666, 540, 5201, 267, 1818, 873, 4998, 3334, 585, 2413, 6472, 269, 2060, 8441, 538, 2029, 267, 25690, 16546, 3136, 547, 581, 4824, 2390, 543, 2611, 4105, 3334, 585, 1022, 1286, 610, 14903, 609, 606, 4835, 13674, 2599, 563, 763, 2956, 540, 891, 3457, 3112, 581, 936, 26061, 607, 741, 1697, 8647, 5849, 602, 6472, 666, 1376, 1510, 3111, 1142, 942, 789, 616, 13234, 269, 0, 4462, 557, 4979, 10815, 518, 8153, 18266, 338, 6168, 7909, 25968, 667, 20462, 1231, 281, 634, 2037, 31008, 618, 540, 7402, 3300, 454, 763, 7909, 25968, 667, 20462, 514, 267, 849, 1634, 607, 519, 4457, 6519, 667, 20462, 514, 610, 519, 21475, 6261, 6680, 670, 2794, 3724, 667, 20462, 514, 267, 568, 513, 4241, 7286, 13442, 602, 7380, 919, 519, 12271, 540, 1082, 269, 901, 2376, 6663, 547, 8774, 1769, 593, 519, 14758, 8153, 5013, 827, 891, 15999, 23522, 267, 18167, 883, 519, 4128, 1946, 1004, 1032, 333, 585, 513, 2582, 7237, 609, 891, 22539, 7919, 563, 4322, 30811, 23522, 616, 5065, 547, 519, 7297, 540, 14913, 5607, 267, 4481, 519, 23421, 5211, 18647, 267, 15173, 15158, 267, 543, 519, 7297, 4478, 3624, 543, 15990, 269, 19612, 585, 741, 7524, 11909, 27280, 267, 789, 8858, 513, 9159, 543, 3982, 5920, 602, 5036, 873, 6306, 689, 824, 18107, 514, 2249, 563, 3080, 540, 519, 1034, 10578, 3344, 540, 519, 7909, 25968, 667, 20462, 1231, 568, 741, 32442, 269, 634, 3982, 11909, 12094, 568, 513, 1267, 540, 519, 23522, 685, 1973, 8043, 4092, 1175, 2630, 741, 2960, 779, 2627, 269, 1306, 1769, 9356, 1055, 891, 1973, 8043, 267, 621, 5932, 513, 30811, 11909, 16657, 267, 1818, 891, 23522, 513, 5963, 7415, 8289, 547, 1531, 1245, 269, 901, 2189, 8984, 814, 17275, 10373, 1719, 1851, 3173, 267, 2470, 12439, 267, 543, 2043, 5275, 513, 12300, 1995, 609, 891, 9058, 7068, 563, 30509, 689, 741, 9159, 5920, 267, 519, 7909, 25968, 667, 20462, 1231, 4865, 513, 2039, 540, 7415, 7592, 543, 5615, 269, 1358, 616, 3810, 10995, 7068, 267, 1634, 585, 741, 4359, 2792, 1983, 543, 1514, 2623, 269, 1452, 23522, 8858, 513, 1950, 1514, 2497, 267, 2713, 538, 9395, 10275, 27848, 1920, 2516, 1572, 10540, 338, 269, 10738, 891, 10540, 338, 267, 789, 4497, 538, 1585, 2238, 971, 607, 10122, 267, 4730, 267, 543, 12391, 585, 741, 1762, 269, 634, 7554, 4646, 1369, 891, 18107, 514, 2950, 616, 11212, 2178, 267, 10452, 741, 2620, 1514, 4296, 563, 13010, 267, 519, 7909, 25968, 667, 20462, 1231, 4865, 11108, 10977, 7207, 267, 24672, 1350, 4575, 998, 519, 1216, 609, 11419, 543, 22231, 269, 4256, 29765, 4703, 543, 3532, 21217, 1450, 873, 547, 6330, 519, 5836, 17909, 609, 7415, 8897, 269, 1452, 23522, 616, 849, 1634, 585, 741, 1035, 13681, 1738, 10525, 267, 4749, 682, 12686, 856, 540, 519, 1216, 543, 7900, 19666, 25224, 338, 602, 4734, 593, 19972, 619, 538, 25713, 563, 763, 4644, 540, 25884, 606, 7909, 25968, 667, 20462, 514, 4422, 3564, 922, 6071, 3308, 27559, 269, 3509, 2043, 3343, 856, 713, 9058, 1995, 547, 2744, 513, 4514, 7071, 585, 519, 2067, 1158, 543, 922, 13300, 269, 634, 7237, 609, 891, 15999, 7068, 666, 18427, 513, 2631, 540, 4276, 547, 2470, 267, 22348, 721, 540, 519, 5898, 543, 4763, 602, 6818, 1369, 938, 12084, 269, 898, 5713, 607, 513, 1093, 17257, 12576, 540, 519, 991, 547, 2149, 543, 8190, 891, 17866, 8134, 543, 519, 6909, 2249, 602, 1289, 873, 1753, 563, 2690, 1346, 26752, 2614, 547, 7198, 519, 5898, 540, 7909, 25968, 667, 20462, 1231, 20250, 267, 519, 7237, 1419, 3762, 513, 9434, 12705, 269, 634, 9059, 540, 11287, 891, 23522, 538, 741, 2067, 7226, 568, 606, 1995, 602, 19388, 619, 538, 519, 3965, 267, 5356, 513, 2631, 540, 25713, 543, 27527, 585, 519, 2261, 12069, 540, 519, 2067, 1158, 563, 763, 7909, 25968, 667, 20462, 1231, 267, 609, 741, 25713, 15564, 25378, 11909, 27280, 543, 7415, 4162, 267, 3136, 547, 25407, 519, 4337, 5209, 540, 1004, 5001, 269, 4256, 2189, 5920, 267, 1514, 2623, 267, 543, 11108, 10977, 5759, 1118, 873, 513, 3020, 4898, 540, 519, 5836, 269, 7402, 3300, 532, 891, 22539, 7919, 711, 1152, 2488, 513, 19214, 883, 741, 1158, 855, 849, 1128, 1571, 513, 7096, 7071, 585, 519, 13300, 540, 2470, 269, 1306, 649, 11441, 547, 2149, 938, 4541, 779, 8134, 267, 8497, 519, 9249, 540, 891, 30811, 23522, 3587, 14063, 267, 4180, 602, 2104, 5481, 666, 849, 1995, 519, 22406, 10508, 540, 25884, 891, 9058, 7068, 269, 0, 9596, 543, 2263, 519, 2257, 3297, 14324, 29777, 609, 713, 2241, 2534, 602, 3322, 1100, 6464, 543, 1100, 3190, 563, 3080, 5140, 4480, 585, 5355, 707, 6863, 568, 547, 1451, 19655, 543, 1884, 11618, 1927, 563, 8867, 2378, 7206, 568, 606, 5863, 1259, 547, 1577, 707, 1126, 779, 5876, 2097, 856, 538, 1106, 540, 1148, 1247, 1210, 5862, 1962, 16640, 602, 3986, 741, 5386, 5179, 1983, 269, 901, 2534, 15983, 2501, 909, 609, 3773, 22429, 607, 1453, 991, 547, 1491, 513, 2470, 3802, 547, 2445, 15468, 3762, 540, 1114, 7306, 543, 5546, 267, 1287, 2132, 1753, 543, 946, 873, 547, 1711, 4190, 1148, 563, 13014, 713, 2653, 543, 20036, 536, 22324, 693, 1753, 609, 1688, 21646, 269, 2480, 19538, 543, 15437, 616, 2386, 547, 2087, 1082, 1983, 540, 707, 4819, 281, 3308, 2173, 19318, 1983, 267, 3750, 11804, 11558, 267, 543, 5386, 5179, 1983, 1175, 547, 2012, 513, 1906, 563, 1607, 2534, 786, 948, 2087, 707, 1126, 779, 5179, 1983, 543, 1688, 3562, 31378, 11558, 563, 1607, 2534, 786, 3986, 707, 1126, 781, 5179, 543, 22423, 1983, 563, 1607, 3014, 786, 2087, 741, 3206, 2702, 269, 901, 3014, 849, 6770, 609, 621, 513, 2603, 540, 1187, 563, 2080, 616, 3579, 2093, 267, 4819, 781, 2238, 2622, 27657, 4303, 630, 2641, 560, 8734, 1916, 1607, 2534, 786, 3986, 707, 1126, 781, 9345, 543, 2333, 741, 1620, 827, 1554, 547, 1554, 2833, 269, 901, 2534, 786, 849, 1118, 707, 1126, 3398, 1004, 689, 782, 6791, 269, 0, 3674, 28246, 1744, 1077, 532, 513, 6178, 540, 12870, 286, 5700, 1548, 547, 1684, 2336, 12831, 1833, 568, 513, 1950, 543, 3978, 2790, 1072, 4524, 602, 666, 8915, 538, 1585, 3029, 543, 2010, 267, 12018, 1585, 3344, 540, 707, 1272, 543, 1072, 269, 2290, 540, 1346, 3344, 568, 707, 2123, 9882, 1107, 9811, 267, 596, 1224, 621, 1318, 1107, 4965, 666, 3409, 707, 1259, 540, 4509, 707, 9882, 563, 4407, 930, 1004, 609, 4965, 1265, 621, 2182, 547, 2226, 1434, 9882, 267, 1866, 1397, 7050, 17643, 532, 607, 513, 1259, 540, 11589, 741, 6418, 3929, 24187, 269, 11565, 803, 267, 607, 2576, 945, 1869, 2833, 14501, 540, 4965, 267, 621, 666, 581, 2182, 547, 2347, 519, 2596, 26050, 899, 3478, 856, 540, 5127, 267, 4189, 267, 543, 1256, 12008, 267, 865, 594, 1205, 1141, 596, 2097, 689, 269, 1403, 596, 6560, 609, 513, 3668, 540, 2123, 9882, 610, 1107, 1134, 267, 7050, 1416, 827, 707, 9882, 1107, 596, 2461, 711, 4805, 563, 1103, 713, 2376, 267, 649, 2461, 3695, 519, 4128, 1946, 7050, 17643, 532, 666, 581, 513, 1129, 540, 4965, 543, 519, 2081, 596, 666, 2226, 1434, 9882, 950, 596, 2461, 20158, 563, 3963, 6496, 28246, 1744, 1077, 532, 19732, 523, 1879, 3493, 5962, 888, 2005, 568, 2009, 547, 581, 18930, 539, 609, 9882, 950, 596, 2461, 10010, 609, 4057, 2790, 1072, 269, 17148, 899, 24753, 1107, 30442, 16327, 14601, 4524, 1107, 543, 4965, 666, 1860, 875, 596, 1416, 585, 3054, 269, 3371, 616, 930, 1455, 4128, 1946, 7050, 17643, 532, 666, 581, 606, 13525, 540, 4965, 3248, 268, 898, 779, 513, 1259, 540, 9101, 269, 1280, 1004, 945, 6560, 609, 4965, 267, 513, 1279, 267, 3636, 17643, 666, 1831, 513, 1259, 540, 9101, 689, 519, 11566, 2942, 4664, 789, 1995, 269, 634, 14815, 540, 3905, 1216, 1996, 741, 2960, 666, 581, 513, 10151, 8323, 689, 1928, 267, 3056, 873, 547, 1413, 693, 17643, 532, 607, 513, 12003, 7271, 563, 268, 898, 779, 513, 1259, 547, 1852, 741, 2729, 269, 1280, 930, 1004, 267, 4965, 666, 1491, 2476, 741, 2631, 540, 1852, 936, 741, 2729, 269, 769, 4334, 267, 4509, 2123, 9882, 666, 1683, 513, 1507, 2631, 540, 22920, 543, 1852, 269, 28246, 17643, 532, 949, 581, 513, 1259, 547, 22919, 930, 1852, 1141, 789, 1745, 856, 540, 1852, 6382, 563, 268, 898, 779, 513, 1259, 547, 20920, 609, 4606, 540, 10072, 269, 12870, 666, 849, 2014, 1514, 15639, 543, 1582, 28104, 15684, 269, 1879, 1004, 2057, 1514, 4205, 267, 789, 949, 849, 10714, 2123, 9882, 269, 28246, 17643, 532, 666, 581, 513, 1259, 547, 25559, 4606, 540, 10072, 563, 3963, 24367, 30719, 568, 10434, 518, 1879, 3493, 5962, 888, 2252, 596, 2461, 835, 540, 1346, 1004, 945, 1265, 2933, 9361, 538, 519, 17643, 585, 3108, 593, 1439, 543, 1869, 1373, 8572, 547, 2226, 1434, 2123, 9882, 267, 1287, 891, 1223, 581, 930, 2188, 3248, 268, 19768, 540, 6052, 281, 2290, 540, 519, 2589, 540, 4965, 568, 3665, 9854, 269, 1403, 596, 2661, 609, 4965, 267, 1287, 596, 949, 1419, 6560, 547, 723, 519, 1648, 2877, 585, 2596, 1582, 13282, 13467, 267, 971, 607, 17643, 532, 267, 17678, 707, 4522, 267, 3092, 563, 268, 20134, 32438, 281, 12870, 666, 849, 1253, 677, 707, 3206, 543, 1582, 12656, 4003, 267, 3056, 547, 4606, 540, 4502, 16531, 543, 1582, 268, 1002, 1042, 269, 901, 2942, 3206, 666, 1267, 538, 513, 1970, 2631, 540, 1582, 2914, 2180, 267, 1818, 2123, 9882, 3100, 796, 28695, 563, 268, 15465, 12983, 281, 12870, 666, 10556, 707, 5042, 3252, 971, 607, 5834, 543, 1256, 3965, 269, 901, 3390, 666, 1291, 547, 7340, 6888, 538, 2921, 1416, 540, 707, 9882, 610, 606, 17418, 547, 1445, 593, 1582, 13282, 563, 6701, 1703, 17121, 12186, 540, 28246, 1744, 1077, 532, 888, 2791 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1257, 12116, 519, 2189, 2115, 540, 519, 3395, 2551, 540, 2296, 1893, 6267, 630, 21822, 338, 264, 543, 6257, 2994, 585, 791, 548, 5443, 2483, 3528, 17755, 3863, 6953, 650, 4065, 454, 6756, 281, 476, 7818, 23669, 7785, 32579, 274, 267, 568, 16818, 281, 476, 23669, 7785, 32579, 277, 2676, 8196, 5678, 585, 5675, 547, 1291, 707, 1053, 4724, 7115, 607, 5830, 269, 901, 14469, 543, 7269, 540, 5940, 541, 5678, 8633, 11414, 711, 1152, 1603, 1983, 267, 855, 849, 519, 6863, 267, 4845, 267, 543, 10721, 1983, 602, 20690, 1434, 1603, 2483, 3528, 22489, 31890, 5177, 454, 6756, 281, 476, 7818, 1822, 279, 2641, 11740, 273, 267, 568, 16818, 281, 476, 1822, 279, 2641, 11740, 278, 2676, 24309, 609, 513, 2039, 540, 3486, 8658, 538, 2247, 267, 713, 3810, 8465, 267, 476, 277, 7400, 1576, 2488, 3795, 540, 519, 11062, 12729, 2296, 607, 513, 5822, 5678, 21038, 269, 3117, 12371, 540, 606, 13267, 267, 12139, 2511, 9906, 3883, 267, 3573, 4518, 1504, 2483, 3528, 5839, 17524, 534, 270, 18250, 294, 3863, 6953, 650, 3427, 6555, 454, 6756, 281, 476, 7818, 16573, 28192, 277, 4649, 271, 267, 568, 16818, 281, 476, 16573, 28192, 277, 4649, 280, 2676, 18250, 294, 3863, 10830, 5678, 8551, 6103, 476, 277, 2483, 12921, 340, 281, 681, 296, 4962, 268, 4037, 276, 272, 318, 16573, 2735, 279, 1556, 271, 267, 552, 534, 281, 476, 7818, 16573, 2735, 279, 1556, 273, 267, 568, 16818, 281, 476, 16573, 2735, 279, 1556, 271, 2676, 8777, 1645, 9906, 7734, 22365, 4403, 1912, 9582, 543, 6478, 19019, 19601, 3528, 8845, 674, 2803, 2006, 454, 6756, 281, 476, 7818, 271, 4343, 18597, 15757, 273, 267, 568, 16818, 281, 476, 271, 4343, 18597, 15757, 280, 2676, 288, 3119, 1153, 2875, 2069, 1837, 2807, 0, 1432, 568, 6880, 13062, 830, 286, 24426, 828, 13062, 830, 568, 606, 3390, 799, 5222, 519, 2729, 540, 1082, 26880, 269, 1323, 1367, 2165, 1957, 630, 1575, 547, 476, 4968, 271, 2262, 264, 589, 3803, 12152, 1557, 630, 1575, 269, 901, 476, 273, 268, 275, 2985, 1557, 630, 6518, 849, 1568, 607, 519, 1101, 8908, 540, 519, 3803, 2165, 1957, 269, 23426, 519, 2104, 540, 2564, 1382, 269, 681, 13263, 814, 5342, 1382, 547, 2268, 543, 2333, 1620, 540, 519, 1764, 540, 6880, 13062, 830, 593, 4213, 543, 563, 13202, 476, 736, 267, 476, 1001, 276, 269, 15536, 13062, 830, 281, 519, 637, 1932, 1454, 540, 621, 267, 543, 649, 991, 547, 4487, 5098, 2852, 540, 21570, 811, 547, 15658, 621, 269, 9484, 476, 736, 267, 476, 1001, 279, 269, 1284, 723, 10356, 519, 1655, 7803, 5126, 1382, 3584, 602, 786, 948, 596, 563, 763, 1445, 540, 589, 297, 290, 297, 568, 593, 513, 2647, 5044, 540, 7803, 5126, 3584, 543, 2152, 269, 5131, 6880, 6760, 4574, 267, 3594, 267, 543, 1382, 4574, 563, 10932, 11762, 3561, 4395, 2985, 269, 15536, 4211, 31870, 6513, 267, 10644, 543, 27148, 589, 12854, 3194, 1160, 27760, 4427, 4784, 547, 269, 901, 1382, 1957, 6663, 547, 1865, 1739, 3344, 540, 15536, 13062, 1307, 281, 519, 4214, 267, 1946, 789, 2049, 267, 4031, 12044, 873, 267, 2409, 540, 22867, 6880, 13062, 1307, 269, 15536, 17235, 267, 8177, 540, 15536, 10963, 538, 519, 1483, 1158, 267, 2717, 6005, 15536, 2230, 269, 4427, 18285, 547, 634, 7284, 24939, 15348, 6880, 13062, 830, 2165, 1957, 3584, 8889, 11545, 267, 513, 5180, 1575, 6880, 13062, 830, 2165, 1957, 3584, 2093, 6880, 13062, 830, 2165, 1957, 3584, 563, 10932, 1283, 30241, 7172, 4115, 5498, 21124, 1382, 3584, 593, 595, 3234, 11659, 543, 17235, 689, 519, 2372, 652, 807, 2228, 5399, 267, 1519, 2407, 17856, 2228, 2835, 267, 4081, 13746, 269, 15536, 13062, 830, 3217, 1082, 3029, 267, 543, 621, 568, 4061, 2352, 547, 4339, 563, 310, 944, 325, 1557, 6735, 713, 1957, 267, 649, 20272, 519, 4162, 543, 11444, 540, 1883, 11051, 9087, 269, 8281, 15536, 13062, 830, 10644, 5358, 4828, 630, 4968, 274, 9293, 25631, 269, 5675, 513, 1382, 1957, 568, 606, 6880, 13062, 830, 2165, 1957, 3584, 5578, 634, 3209, 476, 2735, 275, 269, 5851, 3436, 3194, 7433, 11762, 3436, 4317, 28620, 540, 15536, 17235, 269, 589, 6519, 7433, 585, 17012, 577, 30583, 267, 13397, 839, 832, 267, 543, 11524, 563, 8133, 267, 4896, 945, 3096, 513, 2780, 814, 513, 4960, 540, 1373, 513, 6408, 540, 6880, 13062, 830, 269, 9484, 476, 1839, 267, 476, 1001, 274, 269, 5131, 4828, 281, 15536, 13062, 830, 476, 2767, 1299, 3397, 2908, 267, 476, 1220, 277, 15426, 634, 2165, 6880, 6760, 666, 581, 3989, 607, 6880, 13062, 830, 2165, 1957, 3584, 957, 8149, 610, 31360, 538, 18670, 540, 513, 1876, 269, 15536, 13062, 830, 667, 10308, 2742, 281, 1772, 621, 25792, 547, 2871, 5875, 2465, 5637, 8232, 543, 21041, 27085, 6206, 5999, 593, 15536, 7261, 344, 828, 13062, 830, 543, 15536, 11485, 15928, 269, 1879, 5769, 6880, 13062, 830, 2165, 1957, 3584, 606, 16832, 851, 540, 938, 1272, 267, 1981, 540, 4742, 513, 6408, 540, 3463, 267, 325, 571, 644, 610, 642, 663, 16117, 568, 865, 1164, 563, 20663, 6760, 5788, 23977, 1676, 1464, 5788, 661, 2314, 323, 549, 6137, 5689, 2264, 1975, 344, 2264, 269, 9947, 476, 1428, 267, 476, 1001, 277, 269, 21546, 26304, 9791, 14430, 267, 513, 1587, 540, 938, 3194, 10406, 267, 4125, 563, 763, 4015, 540, 3584, 585, 7156, 1369, 513, 3102, 1353, 593, 6880, 13062, 830, 269, 769, 713, 1957, 267, 2010, 540, 6880, 10963, 267, 15536, 13062, 830, 2165, 1957, 3584, 17235, 16473, 633, 21474, 267, 11115, 1143, 547, 7797, 269, 23745, 590, 269, 3584, 25864, 4988, 538, 29929, 1876, 1382, 267, 1247, 2469, 2047, 547, 519, 2295, 540, 29929, 269, 9484, 476, 2764, 267, 476, 1001, 276, 269, 476, 278, 2986, 634, 4107, 12830, 15536, 8232, 11762, 1411, 9701, 6258, 6168, 563, 12901, 328, 4211, 344, 828, 543, 6176, 744, 1653, 9197, 1307, 892, 1876, 269, 1284, 946, 519, 2165, 1883, 17076, 547, 3277, 547, 8468, 3755, 945, 723, 1044, 5532, 547, 563, 8196, 1390, 1557, 3732, 593, 713, 1888, 269, 4634, 607, 3549, 6108, 1283, 330, 14369, 593, 3354, 267, 9271, 1644, 547, 6880, 13062, 830, 723, 5176, 23060, 538, 519, 2063, 2947, 1296, 269, 7325, 476, 275, 267, 476, 1001, 274, 269, 540, 6880, 6339, 923, 945, 3989, 621, 607, 968, 320, 6101, 1436, 540, 519, 2093, 540, 642, 344, 828, 13062, 830, 269, 4985, 15536, 13062, 830, 2165, 1957, 3584, 616, 1100, 5730, 267, 6325, 2780, 6760, 1382, 1957, 563, 24426, 828, 17235, 4828, 11762, 269, 15536, 17235, 14484, 633, 2079, 540, 513, 2565, 10071, 11744, 8808, 1557, 585, 3194, 14430, 269, 6201, 269, 3194, 3584, 538, 547, 923, 6530, 269, 15536, 13062, 830, 538, 18310, 910, 6787, 610, 711, 13605, 2297, 324, 6880, 13062, 830, 2165, 1957, 3584, 3044, 2232, 269, 9747, 519, 20882, 585, 713, 1382, 1888, 269, 9293, 281, 476, 14093, 273, 20099, 281, 476, 275, 9664, 11657, 7392, 281, 4828, 7433, 1948, 281, 476, 14690, 278, 1704, 4037, 563, 1607, 1867, 2488, 513, 3102, 7650, 540, 519, 1034, 4143, 3584, 269, 5851, 3436, 3194, 7433, 11762, 3436, 8950, 6880, 13062, 830, 2165, 1957, 3584, 5769, 17235, 269, 634, 1883, 563, 1729, 1283, 643, 338, 267, 585, 519, 3483, 540, 713, 1957, 267, 513, 6880, 13062, 830, 267, 543, 547, 1174, 519, 1909, 676, 799, 519, 946, 540, 269, 2052, 4896, 945, 3096, 513, 2780, 581, 513, 6408, 547, 6880, 13062, 830, 286, 5131, 12910, 7433, 593, 15536, 13062, 830, 269, 15536, 13062, 830, 4340, 547, 513, 476, 1220, 280, 1353, 5342, 676, 519, 5062, 17682, 2465, 28456, 2754, 543, 13886, 968, 4462, 5913, 3293, 8859, 625, 15545, 15536, 13062, 830, 568, 513, 1888, 538, 799, 1857, 543, 269, 634, 13482, 593, 15536, 13062, 830, 568, 519, 1101, 543, 1152, 1617, 10561, 269, 0, 26108, 10552, 568, 513, 1560, 5714, 538, 3425, 543, 824, 2831, 602, 20205, 2556, 6878, 971, 607, 5567, 543, 5135, 547, 519, 2281, 543, 3560, 338, 10894, 3653, 2472, 2476, 689, 1346, 1482, 2281, 269, 769, 30900, 267, 621, 568, 7768, 540, 1973, 2281, 17735, 538, 1973, 11919, 269, 5522, 553, 2742, 267, 799, 13054, 4939, 540, 1973, 5714, 267, 568, 6140, 1216, 4939, 676, 4320, 2073, 543, 3568, 5946, 267, 7280, 267, 7777, 12274, 5851, 10552, 4750, 589, 12353, 25135, 14653, 540, 519, 29224, 2090, 689, 10552, 267, 519, 4013, 4760, 540, 519, 1977, 5980, 540, 12920, 26331, 6789, 295, 2073, 1688, 13603, 689, 1142, 3390, 676, 519, 15769, 267, 10552, 9855, 661, 743, 2354, 525, 936, 5840, 20050, 962, 518, 889, 850, 324, 8535, 589, 2407, 16264, 24256, 568, 513, 3787, 4686, 898, 521, 1572, 513, 1973, 7599, 1317, 1152, 519, 1102, 571, 2699, 6512, 540, 1769, 4991, 1472, 519, 3618, 543, 536, 25555, 1055, 519, 7599, 547, 581, 2938, 676, 721, 267, 1152, 538, 1978, 4025, 593, 519, 8608, 4470, 593, 519, 5086, 269, 4400, 10552, 16242, 12700, 524, 26501, 2859, 982, 2073, 1977, 7972, 538, 3769, 1164, 1973, 2604, 607, 513, 3119, 610, 7700, 2014, 2334, 568, 3592, 2073, 7972, 1142, 1554, 269, 4400, 1973, 2604, 4679, 707, 1981, 585, 5906, 1072, 2175, 3689, 2295, 4323, 6168, 540, 1169, 1004, 2348, 741, 1101, 2295, 4323, 723, 1164, 1973, 2604, 3689, 8482, 6168, 540, 1169, 1004, 2348, 741, 1101, 8482, 853, 3863, 11241, 634, 2622, 521, 2657, 5006, 16639, 1548, 521, 1715, 543, 5484, 1030, 2772, 6168, 853, 3863, 11241, 10765, 2090, 723, 8947, 519, 2698, 15934, 4390, 570, 3722, 540, 22229, 267, 711, 1152, 538, 6476, 609, 824, 5613, 267, 855, 849, 538, 6476, 609, 3536, 538, 824, 1426, 2516, 269, 3690, 889, 560, 656, 2747, 3690, 889, 560, 656, 2747, 5824, 1098, 11357, 560, 656, 9332, 1470, 5259, 1558, 748, 22719, 568, 267, 2687, 547, 519, 10752, 540, 519, 4936, 7826, 5783, 267, 519, 1689, 540, 6219, 610, 9759, 676, 799, 519, 3694, 543, 9174, 6035, 538, 519, 15093, 540, 519, 5485, 26963, 540, 519, 661, 1276, 30658, 1282, 519, 7136, 267, 1831, 267, 538, 4641, 267, 519, 1560, 543, 1973, 540, 4906, 2441, 269, 634, 4936, 7826, 5783, 11414, 602, 538, 519, 6936, 10552, 24722, 19534, 585, 519, 670, 19447, 10022, 634, 4013, 3896, 585, 6936, 10552, 593, 670, 19447, 267, 10023, 2407, 14501, 2228, 267, 11042, 267, 8430, 1344, 543, 12558, 10274, 269, 12920, 4405, 807, 10552, 538, 519, 7984, 710, 29484, 13391, 636, 631, 6185, 12920, 4405, 807, 568, 513, 4791, 2165, 13288, 547, 519, 4527, 540, 1973, 267, 4481, 2699, 1973, 2281, 267, 538, 519, 10729, 6787, 713, 1973, 568, 7298, 1152, 896, 513, 17209, 610, 1459, 538, 9424, 6190, 547, 581, 2938, 609, 519, 21736, 3750, 267, 22104, 22202, 568, 513, 1129, 602, 1945, 568, 4929, 9402, 11702, 538, 519, 3461, 521, 1024, 527, 712, 2435, 8778, 269, 13177, 27997, 14068, 10552, 10264, 918, 754, 4459, 19681, 541, 13334, 2904, 2073, 21145, 8535, 14576, 14068, 10552, 3816, 1460, 30310, 13177, 27997, 19536, 26425, 3724, 267, 7665, 9410, 267, 918, 754, 4459, 19681, 541, 267, 13177, 27997, 13397, 10234, 547, 13334, 676, 5851, 23244, 10552, 5213, 566, 19193, 547, 581, 513, 1973, 20033, 267, 2285, 1973, 543, 4688, 2729, 4855, 856, 827, 1973, 21856, 563, 10403, 3367, 1496, 13640, 534, 5436, 3883, 316, 7602, 510, 8307, 1635, 10552, 543, 22206, 1359, 281, 3204, 8724, 23452, 15213, 910, 589, 23397, 910, 676, 5487, 309, 1195, 5685, 32337, 7602, 510, 476, 1911, 5487, 309, 1195, 5685, 32337, 454, 17138, 281, 5131, 3367, 1496, 13640, 534, 5436, 3883, 316, 7602, 510, 8307, 1635, 10552, 543, 22206, 1359, 281, 3204, 8724, 23452, 15213, 910, 589, 23397, 910, 676, 5487, 309, 1195, 5685, 32337, 7602, 510, 0, 303, 4292, 584, 2213, 5144, 267, 519, 17646, 666, 543, 519, 26806, 616, 519, 1614, 1034, 1713, 18563, 538, 519, 1686, 540, 1426, 267, 2687, 547, 513, 3542, 540, 13747, 3744, 269, 4676, 3419, 3130, 568, 4867, 547, 6137, 519, 3542, 1373, 17298, 676, 519, 9576, 5980, 563, 7343, 30068, 5841, 12104, 3130, 729, 3812, 20749, 538, 476, 5197, 276, 1739, 513, 1101, 17431, 540, 519, 2856, 5176, 476, 2004, 1296, 4505, 538, 476, 11260, 277, 269, 29703, 2006, 5261, 595, 1638, 523, 7152, 602, 1010, 968, 325, 16466, 892, 1223, 1711, 513, 1507, 2179, 540, 4672, 855, 693, 602, 942, 519, 1523, 540, 13936, 1426, 538, 513, 22799, 3926, 4769, 1406, 2049, 547, 4896, 269, 2986, 1576, 2094, 1287, 535, 5090, 2471, 630, 3697, 519, 2025, 835, 3182, 3293, 1107, 2707, 264, 4838, 2213, 1426, 11091, 543, 15325 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7706, 540, 11174, 5708, 267, 1920, 5389, 543, 16873, 1419, 4196, 607, 3844, 4798, 602, 948, 3337, 12300, 6386, 543, 3197, 269, 1452, 2609, 1450, 1762, 3988, 547, 2263, 741, 1378, 2686, 9163, 1247, 849, 5807, 6568, 2509, 1114, 2081, 540, 1272, 269, 3414, 2984, 10704, 1472, 3838, 2833, 899, 19771, 267, 6980, 267, 543, 12738, 267, 4589, 666, 5490, 4514, 883, 3584, 971, 607, 6561, 267, 2418, 267, 543, 14375, 3347, 269, 901, 1576, 1770, 786, 1445, 593, 875, 891, 4798, 616, 18955, 883, 4207, 3332, 267, 5373, 4296, 1063, 14070, 6386, 543, 1483, 8996, 2853, 780, 2414, 2253, 609, 267, 1577, 781, 4983, 519, 1523, 540, 513, 1920, 11018, 607, 13269, 538, 1585, 1568, 540, 11174, 5708, 269, 2290, 8037, 1383, 568, 1744, 16336, 595, 872, 577, 781, 834, 26364, 15967, 8776, 22641, 328, 24439, 590, 19281, 2437, 1141, 519, 16502, 781, 7969, 12677, 20516, 8843, 10346, 543, 7326, 5293, 1524, 998, 5481, 1247, 5986, 17339, 609, 1200, 6264, 323, 5922, 269, 6684, 267, 27692, 590, 826, 5244, 781, 834, 288, 17266, 1744, 731, 257, 20502, 11114, 20341, 2245, 607, 513, 14165, 585, 22686, 7554, 543, 16177, 269, 5637, 5931, 5031, 875, 18497, 2238, 7794, 22686, 13218, 2066, 4529, 543, 5481, 780, 9202, 267, 649, 2490, 938, 3007, 547, 1426, 543, 922, 4644, 1369, 1920, 9821, 269, 2725, 1023, 1419, 21843, 9322, 267, 4313, 267, 543, 2648, 282, 3976, 267, 789, 1831, 1898, 3334, 540, 1082, 9089, 269, 1280, 3236, 267, 10496, 638, 5202, 8381, 5459, 781, 834, 763, 4303, 1411, 10670, 257, 7710, 519, 4664, 4810, 676, 1453, 945, 1745, 899, 16080, 11107, 1813, 547, 3604, 538, 803, 5306, 830, 9821, 693, 1153, 269, 1635, 3339, 1944, 3309, 11477, 6208, 267, 8381, 5459, 7512, 1762, 3988, 547, 9784, 22464, 543, 6536, 13784, 269, 6271, 8903, 1224, 568, 834, 307, 807, 15643, 654, 1218, 513, 2961, 257, 676, 23729, 2405, 2088, 267, 799, 5205, 513, 17896, 681, 4618, 1920, 9494, 909, 547, 4444, 513, 1286, 585, 15964, 11824, 15143, 910, 20515, 875, 3838, 3853, 543, 24279, 6830, 1518, 22686, 7554, 780, 11101, 267, 3695, 14812, 543, 15976, 2488, 3638, 3255, 585, 4589, 547, 5490, 883, 519, 10848, 540, 2686, 3961, 5250, 269, 7734, 971, 607, 834, 292, 573, 16505, 9724, 693, 2806, 21731, 781, 257, 676, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 8722, 601, 1863, 547, 5734, 519, 8292, 7735, 593, 1022, 2022, 543, 6443, 519, 4901, 269, 2201, 513, 17919, 7552, 267, 649, 11074, 538, 519, 12784, 693, 519, 18136, 1768, 15869, 540, 22538, 564, 7559, 632, 561, 1052, 3193, 267, 1985, 547, 519, 9754, 609, 519, 1482, 2012, 269, 4024, 891, 960, 609, 782, 5905, 13819, 971, 607, 513, 22272, 1283, 5905, 5496, 286, 8281, 3381, 7141, 575, 325, 3217, 513, 2462, 4452, 538, 1200, 3068, 543, 5023, 476, 280, 281, 476, 4029, 476, 273, 2395, 3516, 5784, 269, 634, 6852, 639, 4887, 4827, 525, 519, 3723, 676, 3001, 519, 3723, 693, 519, 21721, 269, 24522, 538, 513, 1390, 3902, 585, 476, 275, 11623, 3046, 28535, 1107, 15951, 476, 279, 269, 1284, 3357, 538, 3735, 694, 4697, 865, 649, 941, 11207, 6899, 2837, 8797, 267, 855, 519, 1152, 1035, 568, 513, 6885, 1770, 538, 519, 23103, 267, 865, 1491, 602, 883, 7156, 952, 596, 1544, 547, 3207, 609, 519, 7450, 6806, 855, 723, 1866, 12008, 538, 519, 2713, 4055, 1282, 28555, 3275, 269, 1656, 267, 607, 513, 22429, 267, 649, 4076, 9275, 14311, 547, 519, 5182, 540, 938, 1655, 2479, 4339, 827, 1010, 1909, 538, 602, 12473, 6370, 269, 14205, 20087, 512, 345, 8546, 476, 1015, 2381, 2373, 676, 3723, 2476, 4620, 571, 512, 345, 519, 1434, 1747, 547, 3251, 2282, 13486, 8115, 609, 713, 3902, 521, 4331, 534, 987, 512, 345, 519, 4055, 568, 575, 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, 7731, 1315, 4937, 1315, 26492, 14727, 324, 14896, 725, 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, 7756, 18467, 540, 28552, 15215, 692, 8702, 547, 713, 3078, 1576, 1770, 1141, 649, 786, 2263, 1114, 2081, 1004, 2259, 741, 10764, 256, 5620, 596, 2479, 9289, 1946, 930, 1004, 7281, 267, 1247, 1866, 1685, 12738, 286, 2107, 1946, 930, 1224, 3909, 5931, 267, 855, 1866, 4782, 547, 6108, 942, 4543, 1346, 538, 991, 286, 1452, 3604, 666, 581, 11911, 547, 519, 1585, 2081, 1004, 3442, 547, 2769, 741, 5132, 269, 2913, 781, 4685, 883, 1620, 891, 3309, 4485, 2439, 272, 269, 681, 3770, 2065, 6657, 454, 5970, 596, 2479, 13984, 513, 3909, 16008, 899, 513, 29080, 267, 3046, 5378, 345, 341, 1695, 267, 610, 11755, 3028, 693, 513, 9923, 4302, 610, 11454, 286, 1403, 9811, 267, 1287, 596, 723, 14754, 9161, 2065, 2853, 256, 4658, 4497, 538, 1808, 3527, 543, 5615, 11311, 676, 741, 4984, 547, 6542, 20174, 543, 1921, 609, 519, 10143, 269, 1280, 1383, 267, 8654, 22250, 1282, 12390, 4157, 27204, 610, 8840, 3694, 1282, 4004, 542, 616, 1312, 6209, 12738, 13736, 538, 17194, 543, 8567, 267, 6606, 780, 273, 269, 8211, 1670, 6657, 454, 1607, 1826, 3322, 1565, 827, 543, 10452, 2390, 3909, 4978, 543, 10752, 269, 898, 1419, 2882, 4974, 10723, 5931, 971, 607, 519, 6426, 267, 20845, 267, 610, 13225, 698, 822, 611, 717, 7534, 269, 1635, 11543, 4514, 4030, 883, 3909, 24866, 267, 2043, 1020, 2178, 2418, 543, 3741, 602, 3391, 873, 2429, 1272, 269, 1323, 5140, 1383, 1131, 581, 11504, 10732, 3427, 5049, 547, 1451, 827, 13400, 2984, 543, 1612, 1963, 780, 274, 269, 5438, 21377, 6657, 454, 5278, 1004, 3343, 1463, 2833, 609, 519, 10143, 998, 9066, 267, 959, 1734, 267, 22649, 267, 610, 9909, 269, 1358, 3494, 602, 8220, 13948, 609, 513, 2362, 1379, 18791, 741, 5132, 543, 5289, 2208, 269, 5994, 1199, 23550, 3232, 547, 3035, 6418, 4708, 543, 10103, 610, 1210, 669, 13589, 16051, 6652, 547, 1445, 707, 2247, 593, 2318, 4555, 1107, 891, 616, 8320, 540, 23913, 2259, 780, 275, 269, 3733, 560, 673, 6657, 454, 7069, 560, 923, 11654, 7096, 25386, 2833, 3056, 547, 10700, 18408, 543, 2620, 9322, 609, 519, 10143, 269, 901, 2619, 3340, 7920, 31658, 267, 1582, 16162, 23002, 267, 543, 7029, 269, 2672, 325, 529, 267, 945, 1246, 9099, 7793, 6291, 267, 11441, 547, 12492, 9769, 609, 16589, 998, 2648, 543, 20174, 269, 6684, 267, 4168, 7793, 923, 2832, 547, 1995, 2696, 781, 4527, 998, 14980, 11755, 543, 8086, 780, 276, 269, 6796, 14114, 686, 5034, 6657, 454, 306, 16291, 15129, 9439, 2769, 741, 5132, 998, 6411, 540, 11587, 267, 17493, 267, 543, 1514, 5126, 269, 29955, 1866, 2636, 873, 547, 18220, 8296, 267, 28908, 267, 543, 21548, 1107, 4295, 21644, 3838, 2066, 1082, 10764, 269, 6201, 1331, 24749, 693, 15602, 24181, 267, 12180, 1426, 11479, 267, 610, 14957, 585, 2825, 5726, 780, 277, 269, 8061, 10899, 6657, 454, 28319, 1774, 525, 1397, 741, 11428, 547, 741, 5132, 676, 5781, 26902, 6235, 24587, 610, 26060, 5515, 269, 27302, 267, 13465, 1728, 332, 985, 267, 973, 1746, 19001, 267, 610, 2870, 1148, 14120, 2820, 6541, 2887, 896, 713, 7121, 269, 6056, 540, 7826, 887, 338, 776, 19001, 267, 9699, 4996, 10937, 18428, 267, 610, 1256, 5373, 5961, 18995, 3909, 4798, 607, 3029, 540, 1821, 10899, 4082, 780, 9824, 16406, 5389, 2356, 5000, 1978, 2081, 540, 8026, 936, 1866, 1759, 593, 1614, 1883, 2188, 1384, 265, 13507, 1949, 281, 3962, 4984, 814, 922, 2189, 1305, 540, 6698, 267, 14868, 267, 543, 6386, 5935, 21071, 262, 23381, 338, 269, 21253, 1043, 543, 1930, 1949, 1522, 3895, 2789, 2081, 540, 8026, 267, 6466, 14461, 3283, 1223, 3870, 1152, 513, 1906, 2409, 563, 265, 22716, 1242, 3344, 281, 9122, 593, 3140, 2796, 543, 2686, 7506, 267, 1142, 4984, 8711, 1808, 2853, 269, 3683, 942, 267, 891, 7375, 1831, 7533, 2694, 540, 3909, 3961, 563, 265, 24722, 23596, 618, 281, 1879, 513, 3909, 9872, 13166, 7028, 1808, 2853, 267, 789, 4043, 547, 2744, 23146, 1851, 13794, 269, 1717, 267, 1367, 7664, 543, 2123, 31007, 1869, 1404, 1713, 5107, 538, 8159, 799, 1259, 24889, 1034, 7184, 780, 1103, 3932, 267, 1169, 1268, 23297, 875, 789, 6999, 547, 2259, 741, 5132, 1759, 593, 741, 4690, 267, 18144, 267, 543, 31710, 269, 1306, 596, 3136, 3695, 519, 3638, 13795, 540, 2518, 10764, 267, 3314, 602, 4763, 27862, 938, 7104, 1480, 1995, 543, 6770, 721, 6251, 1927, 5103, 7805, 3604, 269, 8414, 1565, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 20751, 1022, 4890, 3909, 2245, 1606, 1276, 607, 13221, 267, 5771, 267, 610, 8567, 821, 568, 2693, 547, 1265, 782, 3670, 2081, 540, 1373, 3909, 269, 769, 1022, 835, 540, 513, 2245, 781, 5705, 571, 1885, 602, 786, 711, 581, 607, 2693, 269, 2368, 2081, 538, 513, 3909, 2245, 630, 16838, 811, 865, 538, 513, 5705, 571, 1288, 264, 786, 4309, 3152, 8561, 543, 31449, 982, 1866, 267, 4470, 593, 1896, 2188, 269, 8422, 2188, 616, 2523, 15002, 894, 563, 5575, 540, 782, 267, 972, 568, 519, 3815, 540, 519, 3090, 1062, 540, 519, 4984, 3294, 281, 875, 8465, 621, 568, 267, 875, 1930, 621, 568, 547, 18312, 12496, 543, 2417, 1646, 267, 543, 547, 1018, 6708, 621, 630, 324, 3052, 1421, 513, 8574, 540, 28138, 27403, 264, 2047, 11363, 610, 24115, 2471, 513, 1978, 1259, 610, 2081, 540, 1373, 3909, 269, 13689, 593, 519, 2470, 540, 513, 1880, 1062, 540, 6698, 267, 835, 1259, 540, 1373, 3909, 949, 581, 2523, 9415, 3448, 547, 1866, 267, 609, 519, 1267, 602, 621, 3587, 8789, 1369, 602, 2245, 267, 1247, 1776, 1259, 949, 581, 27209, 267, 609, 519, 1267, 602, 621, 2760, 11392, 4013, 27479, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 7170, 281, 1215, 547, 10162, 770, 513, 3619, 846, 23213, 6145, 513, 11894, 23213, 692, 3721, 476, 272, 281, 19369, 454, 294, 1430, 782, 2556, 5820, 543, 2645, 269, 1280, 713, 11600, 267, 596, 786, 991, 835, 979, 846, 6089, 630, 12671, 476, 273, 268, 274, 6550, 1070, 14462, 3282, 267, 6070, 267, 14723, 267, 13342, 8869, 267, 4195, 11922, 971, 607, 16815, 1889, 543, 9782, 4424, 267, 543, 9269, 26185, 630, 28436, 1040, 13088, 2838, 1331, 513, 8325, 17180, 267, 5969, 4604, 267, 7893, 838, 9398, 267, 11256, 8670, 267, 543, 11956, 23240, 780, 3721, 476, 273, 281, 774, 1177, 532, 519, 3619, 846, 23213, 454, 2252, 13792, 267, 1747, 519, 979, 846, 6089, 538, 519, 21067, 585, 476, 272, 268, 273, 2395, 547, 1219, 15543, 7444, 269, 17968, 267, 21477, 613, 519, 20386, 979, 846, 6089, 538, 4411, 1216, 267, 4657, 519, 1216, 1169, 476, 1789, 3764, 2394, 4628, 555, 31090, 269, 901, 1184, 1058, 1491, 5111, 476, 1789, 3764, 829, 11013, 780, 3721, 476, 274, 281, 2776, 17742, 2659, 744, 1597, 454, 7093, 17742, 707, 14089, 547, 476, 23283, 13790, 630, 13679, 9180, 264, 1354, 11093, 519, 979, 846, 6089, 3330, 269, 589, 5265, 12699, 14089, 5849, 1256, 5986, 543, 11151, 22848, 8504, 540, 519, 16538, 780, 3721, 476, 275, 281, 17897, 532, 519, 3619, 846, 23213, 454, 305, 20600, 519, 979, 846, 6089, 896, 4411, 4881, 1216, 543, 1273, 3819, 1210, 1957, 28734, 269, 28799, 6070, 267, 3109, 14723, 267, 543, 13342, 8869, 538, 3160, 17114, 269, 2637, 2730, 569, 4005, 1312, 5011, 540, 519, 979, 846, 6089, 609, 713, 7848, 269, 9255, 930 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2143, 607, 1082, 4093, 607, 594, 1223, 267, 713, 1259, 596, 666, 3442, 519, 835, 610, 1906, 602, 3514, 707, 1362, 543, 519, 942, 596, 723, 269, 18461, 1863, 547, 12575, 543, 2087, 256, 7756, 2747, 267, 4879, 267, 2200, 267, 11461, 2055, 267, 3992, 7291, 543, 10137, 2093, 782, 3769, 563, 5319, 2809, 543, 1577, 707, 9345, 543, 707, 1453, 781, 979, 3552, 2336, 2171, 3398, 519, 1739, 8569, 2409, 912, 2414, 5372, 713, 1257, 609, 707, 4558, 781, 4890, 9623, 593, 8569, 2409, 267, 979, 547, 834, 290, 7614, 690, 9847, 8605, 29601, 257, 543, 12575, 519, 32237, 2409, 2985, 563, 2080, 596, 666, 1683, 1344, 607, 547, 1018, 2472, 666, 581, 8120, 267, 875, 1082, 2395, 707, 5561, 723, 547, 2132, 741, 6718, 267, 2436, 789, 786, 4309, 513, 32479, 538, 519, 3312, 1106, 540, 8569, 267, 513, 10682, 610, 513, 4558, 5491, 267, 945, 17188, 585, 519, 11288, 540, 519, 5892, 12349, 2472, 547, 519, 4558, 267, 543, 865, 593, 563, 2414, 5372, 713, 1257, 609, 707, 4558, 781, 4890, 2132, 3609, 267, 979, 547, 834, 290, 7614, 690, 9847, 8605, 29601, 257, 543, 12575, 519, 17776, 8889, 2985, 269, 0, 4002, 5437, 476, 279, 267, 6607, 326, 1794, 619, 538, 3127, 786, 7198, 513, 4686, 18477, 2680, 267, 2407, 932, 18588, 3400, 7315, 269, 901, 786, 581, 519, 2197, 779, 2063, 11192, 30803, 661, 743, 15199, 2394, 476, 1708, 276, 267, 1498, 12075, 786, 581, 2111, 547, 1294, 9864, 543, 4050, 3518, 1537, 16264, 17772, 2354, 525, 1282, 602, 942, 563, 1607, 2680, 568, 2189, 538, 602, 621, 786, 581, 513, 10552, 9855, 661, 743, 15199, 267, 4098, 693, 476, 273, 269, 4375, 10681, 543, 10678, 693, 476, 277, 269, 866, 10681, 269, 8307, 519, 2698, 543, 9864, 11775, 540, 519, 16264, 24256, 786, 581, 7298, 538, 3127, 267, 3226, 538, 519, 9456, 4525, 269, 1717, 267, 538, 824, 2694, 540, 519, 2197, 267, 1152, 513, 9864, 5123, 540, 519, 1973, 7599, 666, 581, 2938, 563, 299, 12762, 661, 743, 15199, 543, 9699, 26492, 454, 1607, 1032, 267, 1317, 519, 30803, 661, 743, 15199, 14626, 1938, 609, 918, 691, 1731, 623, 1248, 9874, 267, 972, 723, 1044, 1082, 2242, 538, 519, 8430, 540, 12738, 602, 616, 2356, 9976, 609, 1390, 533, 20234, 543, 575, 2967, 1214, 563, 8601, 1373, 606, 24666, 2680, 267, 606, 24256, 814, 1713, 29631, 543, 4230, 25233, 4644, 538, 4095, 2528, 269, 4634, 1498, 519, 3621, 2146, 1281, 711, 1489, 971, 2093, 267, 519, 9699, 620, 2006, 871, 5267, 11287, 1896, 9993, 1282, 971, 606, 2680, 538, 1931, 547, 2057, 1022, 2942, 2360, 593, 1272, 563, 15239, 11383, 267, 649, 723, 12006, 930, 1279, 17000, 539, 2757, 4388, 602, 2528, 4966, 4363, 585, 1004, 2616, 766, 269, 3371, 616, 930, 4808, 912, 1432, 9701, 1411, 1684, 4438, 1323, 661, 743, 15199, 888, 24836, 7315, 568, 513, 942, 547, 1199, 10028, 543, 7281, 563, 27662, 519, 2777, 543, 4163, 856, 513, 22729, 9161, 267, 971, 607, 20057, 1782, 717, 18553, 808, 531, 563, 5475, 519, 24256, 267, 2141, 1491, 513, 8602, 543, 1689, 707, 9660, 563, 2414, 2057, 519, 2942, 2360, 540, 519, 24256, 267, 1004, 666, 2322, 13411, 570, 639, 2993, 3762, 538, 741, 1426, 563, 8448, 982, 2550, 267, 1453, 267, 543, 519, 11361, 267, 1004, 616, 24016, 547, 2057, 1426, 543, 1216, 607, 1454, 607, 2009, 1282, 519, 24256, 563, 1432, 9701, 1411, 3680, 4438, 3400, 7315, 454, 303, 27389, 656, 2021, 1058, 3635, 3665, 13657, 269, 16241, 575, 32203, 543, 2528, 4966, 18973, 24584, 11299, 547, 7281, 585, 519, 1134, 5630, 540, 741, 796, 9799, 1126, 543, 547, 26821, 676, 9361, 9350, 569, 543, 17159, 609, 513, 17310, 593, 741, 22272, 563, 7628, 519, 24256, 267, 2057, 12008, 610, 28876, 563, 6097, 547, 2686, 4808, 267, 9176, 2021, 1058, 2057, 2469, 3544, 547, 4585, 519, 24256, 563, 10111, 2522, 6411, 540, 1022, 2186, 616, 849, 14553, 19275, 269, 0, 16158, 8436, 568, 7307, 676, 519, 968, 8421, 545, 540, 519, 3859, 892, 538, 17421, 2019, 3279, 545, 16257, 267, 513, 3859, 14617, 2146, 4171, 15888, 8044, 585, 3059, 1374, 3330, 19236, 7182, 563, 20124, 2019, 3279, 545, 16257, 2882, 513, 4015, 540, 3859, 14617, 13763, 267, 6582, 538, 4025, 18368, 779, 942, 10851, 543, 7674, 922, 18799, 1357, 4609, 689, 627, 31295, 5544, 568, 2348, 1187, 609, 9247, 519, 1034, 21765, 563, 1607, 1016, 591, 1206, 519, 3044, 5106, 540, 519, 1357, 267, 607, 1419, 950, 606, 1357, 1268, 4422, 547, 7127, 513, 1357, 3135, 267, 741, 7662, 568, 9859, 547, 627, 31295, 7746, 3091, 873, 519, 2656, 652, 3210, 2443, 2356, 519, 835, 602, 779, 14191, 32321, 563, 763, 1357, 3135, 1131, 7654, 4452, 14887, 585, 18825, 9001, 519, 17421, 2019, 3279, 545, 16257, 267, 2705, 519, 1576, 540, 786, 1118, 946, 540, 9247, 519, 1034, 6923, 3015, 1379, 267, 865, 621, 779, 5688, 2213, 1776, 1259, 563, 763, 2146, 779, 15888, 2443, 5159, 543, 1715, 3840, 5441, 20485, 570, 9298, 9650, 267, 5981, 715, 987, 753, 517, 543, 27015, 24297, 623, 5050, 7578, 2443, 1589, 827, 713, 519, 968, 8421, 545, 540, 519, 3859, 5608, 513, 1505, 540, 8888, 676, 14719, 908, 3618, 569, 6384, 971, 1317, 519, 3859, 779, 16799, 609, 519, 3047, 563, 5445, 2813, 17421, 2019, 3279, 545, 16257, 547, 1205, 2043, 19832, 609, 519, 5409, 31904, 1063, 1379, 946, 543, 3059, 1374, 267, 513, 1641, 602, 789, 616, 6031, 568, 27723, 14406, 563, 2108, 20751, 519, 1641, 540, 15291, 2257, 267, 972, 779, 782, 519, 942, 1044, 713, 1523, 540, 7384, 1373, 3970, 1652, 543, 12808, 2223, 9650, 5483, 1546, 2763, 523, 269, 968, 2467, 779, 711, 513, 2245, 540, 14719, 908, 519, 5958, 5222, 543, 519, 5168, 602, 891, 3292, 616, 882, 5050, 593, 2462, 1648, 1606, 31902, 267, 1216, 1606, 31902, 1344, 18013, 799, 666, 581, 782, 782, 936, 519, 1158, 3034, 14071, 2461, 12394, 547, 1020, 513, 2189, 1505, 547, 1374, 543, 3648, 547, 772, 311, 1374, 267, 519, 1747, 713, 11432, 1359, 693, 519, 4090, 1281, 711, 2291, 538, 1022, 2463, 3034, 14071, 2461, 2965, 3238, 827, 2409, 547, 1560, 1374, 607, 1373, 3330, 19236, 7182, 543, 2429, 519, 1379, 2796, 2223, 3773, 715, 987, 753, 517, 563, 763, 15888, 616, 11235, 547, 20618, 602, 741, 4161, 568, 513, 1008, 6327, 827, 875, 649, 946, 519, 1357, 543, 2760, 606, 2626, 547, 922, 1379, 2798, 563, 5445, 798, 711, 12167, 15175, 707, 2347, 1357, 547, 513, 8666, 2019, 3279, 545, 7014, 269, 1306, 606, 4244, 267, 789, 2461, 9001, 519, 8097, 4161, 547, 3605, 513, 1297, 540, 12969, 532, 2035, 267, 1927, 609, 2436, 610, 711, 3292, 1522, 581, 2966, 5180, 968, 335, 675, 4987, 892, 607, 513, 2603, 607, 10991, 4987, 267, 8888, 585, 954, 2466, 1084, 1097, 267, 543, 15819, 519, 2215, 2329, 540, 1164, 22822, 563, 4322, 2035, 616, 8268, 593, 519, 17421, 2019, 3279, 545, 16257, 1357, 3135, 543, 538, 513, 1699, 1957, 676, 519, 5234, 593, 519, 17568, 17270, 2060, 856, 7799, 1080, 563, 20751, 519, 1957, 267, 789, 1491, 9837, 693, 930, 17191, 9072, 1107, 5680, 274, 4294, 9443, 23401, 15170, 267, 789, 616, 6031, 267, 568, 968, 1492, 1747, 19106, 568, 2356, 1163, 2105, 585, 1100, 946, 4502, 538, 1022, 2463, 892, 1107, 855, 10123, 13214, 519, 7839, 946, 540, 18297, 267, 3684, 4974, 543, 519, 1357, 540, 2152, 269, 1358, 4704, 606, 7447, 602, 593, 11060, 3381, 18297, 949, 2272, 585, 835, 533, 6983, 540, 1158, 8511, 4492, 5434, 563, 14881, 3494, 513, 851, 540, 621, 779, 513, 13214, 540, 2418, 2223, 7150, 715, 987, 753, 517, 269, 968, 763, 1357, 5693, 14998, 796, 29207, 15344, 2152, 593, 513, 2834, 4493, 1107, 899, 713, 1591, 7483, 2012, 814, 1454, 1447, 540, 606, 1860, 982, 950, 596, 1185, 1044, 547, 8038, 1318, 1934, 610, 952, 519, 1614, 540, 721, 1185, 1044, 547, 8038, 547, 5507, 3034, 2108, 4913, 594, 798, 15475, 621, 568, 5168, 995, 547, 2161, 602, 972, 616, 3833, 513, 2603, 540, 2152, 899, 954, 2466, 1084, 1097, 799, 666, 581, 267, 1813, 547, 2199, 4365, 543, 1813, 547, 5065, 11615, 267, 513, 5393, 7372, 2015, 2043, 779, 2729, 543, 666, 811, 543, 811, 581, 865, 269, 1656, 3059, 1374, 6499, 547, 16253, 547, 602, 547, 2327, 602, 721, 547, 723, 519, 2702, 547, 723, 16180, 2729, 855, 10123, 12581, 543, 3274, 10600, 3034, 2108, 3080, 540, 1082, 29293, 729, 10123, 547, 2015, 1018, 616, 930, 2152, 596, 1223, 3251, 609, 856, 543, 602, 7654, 596, 7443, 689, 23029, 609, 856, 693, 2386, 8320, 540, 519, 1554, 602, 2223, 3773, 623, 5050, 7578, 269, 968, 1607, 1523, 602, 713, 1505, 568, 711, 3015, 547, 596, 476, 2190, 270, 278, 543, 621, 814, 922, 2123, 11733, 666, 849, 581, 513, 1008, 6327, 950, 621, 2501, 547, 835, 779, 2123, 7180, 543, 19832, 609, 267, 1018, 616, 930, 2152, 602, 596, 1175, 6999, 547, 979, 1524, 950, 519, 3859, 4422, 1524, 18313, 763, 17421, 2019, 3279, 545, 16257, 2146, 693, 519, 4090, 814, 476, 280, 13763, 4950, 16475, 1614, 1357, 4609, 281, 835, 585, 17421, 2019, 3279, 545, 16257, 3294, 267, 835, 585, 519, 8899, 4211, 12365, 5811, 11150, 6828, 543, 835, 585, 606, 6987, 8012, 6184, 18675, 4161, 269, 634, 15888, 693, 519, 4090, 616, 7722, 593, 7432, 621, 1318, 883, 513, 3063, 27763, 3059, 1858, 4950, 16475, 3594, 543, 26620, 563, 9596, 593, 585, 606, 12995, 13973, 540, 938, 5967, 609, 9650, 267, 715, 987, 753, 517, 543, 623, 5050, 7578, 267, 519, 1747, 789, 1445, 593, 741, 2035, 593, 3059, 1374, 3330, 19236, 7182, 267, 1018, 621, 1797, 547, 1118, 946, 540, 968, 335, 675, 4987, 892, 543, 2436, 610, 711, 741, 18747, 17538, 513, 968, 332, 1276, 1447, 11791, 892, 1357, 563, 305, 9874, 17939, 2088, 589, 537, 325, 281, 634, 1747, 1705, 519, 2219, 585, 17421, 2019, 3279, 545, 16257, 2097, 689, 888, 289, 2989, 24297, 623, 5050, 7578, 281, 634, 3119, 1651, 28271, 540, 17421, 2019, 3279, 545, 16257, 729, 606, 8097, 2079, 4161, 883, 519, 2219, 540, 281, 1018, 1131, 621, 711, 1491, 547, 1711, 513, 3859, 14617, 7746, 543, 723, 513, 3859, 14617, 1357, 3135, 269, 1284, 1185, 1044, 2965, 24330, 676, 8899, 6874, 3663, 4750, 267, 519, 3859, 14617, 1357, 3135, 269, 1284, 1185, 1044, 782, 585, 519, 5168, 602, 3330, 938, 15004, 543, 3330, 938, 4019, 543, 2429, 519, 3584, 602, 649, 13599, 267, 649, 5000, 3025, 547, 723, 14021, 593, 11060, 12319, 543, 723, 513, 1357, 1759, 4527, 543, 3984, 21075, 543, 723, 513, 19180, 4527, 593, 11060, 269, 1717, 972, 779, 1106, 540, 513, 771, 817, 27937, 1063, 602, 543, 519, 1620, 602, 602, 4527, 814, 606, 2825, 1860, 267, 543, 602, 519, 5079, 602, 835, 2306, 593, 11060, 950, 621, 2501, 547, 519, 1259, 596, 1699, 707, 960, 610, 875, 7372, 540, 513, 3758, 596, 1039, 267, 610, 519, 3375, 540, 519, 11147, 602, 596, 1175, 10505, 593, 11060, 267, 782, 1331, 606, 1379, 18820, 269, 1656, 649, 946, 891, 23199, 899, 968, 1492, 6531, 892, 799, 1118, 782, 540, 891, 3527, 2408, 1360, 967, 27075, 689, 6986, 2959, 563, 2171, 10443, 930, 6901, 267, 649, 2813, 835, 3859, 14617, 1357, 3135, 267, 1310, 799, 856, 540, 602, 267, 594, 3494, 519, 1246, 5346, 13214, 729, 1018, 1131, 2049, 952, 649, 1185, 513, 2146, 540, 1346, 13763, 543, 2731, 13761, 856, 875, 1459, 10873, 960, 543, 519, 1259, 949, 649, 13148, 5368, 1203, 513, 7014, 610, 4603, 609, 519, 2219, 540, 8436, 1373, 3535, 539, 5097, 1759, 593, 6986, 7954, 5594, 982, 6671, 7014, 2845, 923, 5097, 1759, 593, 1198, 2032, 543, 1114, 2152, 563, 305, 9874, 17939, 2088, 589, 537, 325, 281, 1215, 1705, 596, 1418, 1047, 519, 4025, 585, 519, 1747, 519, 11207, 1114, 13763, 666, 581, 18799, 888, 20694, 715, 987, 753, 517, 281, 1284, 1631, 723, 1100, 17050, 585, 713, 547, 581, 899, 606, 11999, 267, 1804, 3815, 269, 3776, 2219, 540, 4336, 729, 267, 875, 786, 649, 1205, 835, 3896, 593, 1169, 11782, 4849, 585, 19778, 543, 1205, 835, 3364, 602, 1281, 713, 2186, 540, 19621, 22107, 8172, 1764, 1317, 519, 3047, 29226, 269, 769, 1931, 602, 729, 2186, 540, 1018, 649, 2808, 950, 621, 2501, 547, 519, 4336, 540, 519, 2146, 269, 1717, 1287, 585, 519, 1268, 7270, 267, 649, 3459, 609, 267, 594, 1522, 2161, 267, 5692, 268, 7955 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 910, 5286, 32557, 263, 767, 318, 523, 340, 18020, 476, 273, 316, 4297, 2878, 476, 273, 4917, 8199, 2080, 267, 649, 946, 17877, 781, 2387, 11743, 319, 1599, 547, 5173, 519, 1611, 6991, 538, 1142, 4287, 267, 543, 1287, 10208, 519, 1611, 6991, 689, 1142, 1367, 6991, 6482, 269, 1284, 1287, 4009, 519, 1267, 543, 1491, 519, 1611, 547, 5173, 519, 13065, 269, 7053, 267, 649, 1491, 519, 4009, 3597, 540, 519, 13065, 547, 3489, 519, 3044, 11539, 780, 2162, 17006, 13505, 20653, 6290, 9208, 8061, 2747, 547, 513, 13096, 553, 564, 692, 2171, 666, 849, 1039, 519, 3135, 6991, 3044, 11539, 1239, 547, 606, 670, 5263, 276, 10471, 1210, 519, 1739, 3009, 6256, 912, 8199, 258, 5410, 519, 3135, 6991, 3044, 11539, 1239, 547, 519, 10471, 454, 1091, 564, 269, 3430, 3464, 9131, 338, 924, 318, 767, 5334, 7950, 13448, 11172, 815, 3135, 318, 767, 5334, 7950, 13448, 454, 1091, 564, 269, 3430, 3464, 9131, 338, 924, 318, 767, 5334, 7950, 14729, 11172, 815, 3135, 318, 767, 5334, 7950, 14729, 454, 1091, 564, 269, 3430, 3464, 9131, 338, 924, 318, 767, 5334, 7950, 318, 345, 11172, 815, 3135, 318, 767, 5334, 7950, 318, 345, 454, 8199, 2080, 267, 649, 946, 519, 2387, 3430, 3464, 319, 14487, 547, 1039, 519, 3135, 6991, 3044, 11539, 1239, 547, 519, 10471, 780, 1103, 3932, 267, 12719, 543, 13936, 3135, 6991, 543, 922, 3044, 11539, 568, 606, 1271, 2460, 540, 2520, 26491, 1239, 2079, 269, 1635, 1210, 5124, 543, 17877, 267, 649, 666, 3362, 1685, 891, 9273, 543, 4558, 519, 1239, 538, 513, 3898, 602, 568, 2653, 547, 960, 609, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 257, 31461, 270, 16149, 5602, 825, 546, 3553, 14491, 318, 15615, 2891, 338, 924, 318, 767, 24449, 2580, 1130, 284, 12639, 269, 11274, 5193, 263, 767, 318, 523, 340, 18020, 273, 25818, 1770, 6889, 31461, 270, 16149, 5602, 825, 546, 3553, 14491, 318, 15615, 18692, 2018, 834, 338, 924, 318, 767, 318, 274, 323, 2580, 3097, 2018, 1130, 284, 12639, 28460, 263, 1091, 564, 4732, 924, 318, 767, 18020, 271, 316, 2878, 476, 273, 1341, 546, 3553, 4732, 924, 318, 767, 18020, 272, 316, 2878, 476, 273, 1341, 546, 3553, 4732, 924, 318, 767, 18020, 273, 316, 2878, 476, 273, 13211, 2018, 1948, 1998, 284, 12639, 28460, 263, 767, 318, 523, 340, 18020, 271, 316, 2878, 476, 273, 1341, 6063, 318, 523, 340, 18020, 272, 316, 2878, 476, 273, 1341, 6063, 318, 523, 340, 18020, 273, 316, 2878, 476, 273, 13211, 2018, 1770, 6889, 31461, 270, 16149, 20350, 825, 25589, 825, 1948, 5410, 3135, 6991, 543, 3044, 11539, 540, 3135, 6991, 10974, 454, 825, 546, 3553, 14491, 318, 15615, 2891, 338, 924, 318, 767, 13448, 2580, 1130, 284, 1091, 564, 4732, 924, 318, 767, 18020, 476, 271, 3910, 1770, 6889, 31461, 270, 16149, 5602, 825, 546, 3553, 14491, 318, 15615, 2891, 338, 924, 318, 767, 14729, 2580, 1130, 284, 1091, 564, 4732, 924, 318, 767, 18020, 476, 272, 3910, 1770, 6889, 31461, 270, 16149, 5602, 825, 546, 3553, 14491, 318, 15615, 2891, 338, 924, 318, 767, 318, 345, 2580, 1130, 284, 1091, 564, 4732, 924, 318, 767, 18020, 476, 273, 3910, 1770, 6889, 31461, 270, 16149, 5602, 825, 546, 3553, 14491, 318, 15615, 2891, 338, 924, 318, 767, 5334, 7950, 13448, 2580, 1130, 284, 12639, 28460, 263, 1091, 564, 269, 652, 1493, 6831, 990, 5334, 924, 318, 767, 13448, 343, 1070, 1770, 6889, 31461, 270, 16149, 5602, 825, 546, 3553, 14491, 318, 15615, 2891, 338, 924, 318, 767, 5334, 7950, 14729, 2580, 1130, 284, 12639, 28460, 263, 1091, 564, 269, 652, 1493, 6831, 990, 5334, 924, 318, 767, 14729, 344, 1070, 1770, 6889, 31461, 270, 16149, 5602, 825, 546, 3553, 14491, 318, 15615, 2891, 338, 924, 318, 767, 5334, 7950, 318, 345, 2580, 1130, 284, 12639, 28460, 263, 1091, 564, 269, 652, 1493, 6831, 990, 5334, 924, 318, 767, 318, 3960, 1070, 1770, 6889, 31461, 270, 16149, 5602, 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, 8080, 547, 32492, 16387, 256, 901, 568, 513, 1187, 543, 4241, 7936, 540, 6128, 602, 9388, 609, 5546, 543, 741, 3601, 269, 1284, 3513, 2263, 875, 5904, 666, 948, 721, 1174, 9511, 1732, 543, 4194, 2042, 811, 7561, 269, 1635, 519, 1439, 540, 713, 3184, 267, 596, 786, 723, 4121, 930, 1007, 1983, 543, 6591, 513, 4514, 7071, 585, 519, 5898, 540, 9511, 780, 4131, 781, 1376, 609, 1945, 2241, 910, 2798, 543, 3515, 269, 5994, 5373, 513, 12297, 593, 513, 4062, 540, 1957, 543, 21458, 621, 630, 343, 267, 586, 1040, 2334, 781, 1018, 22697, 1289, 513, 1448, 269, 3767, 4952, 8220, 1079, 15956, 609, 513, 2786, 1899, 269, 5556, 17894, 256, 1411, 1175, 2813, 707, 1101, 12166, 1843, 1210, 12985, 2645, 780, 3719, 7227, 267, 972, 781, 811, 256, 2060, 513, 2780, 1982, 267, 649, 666, 1711, 7366, 610, 1256, 5215, 540, 2798, 693, 2899, 267, 8108, 1950, 5546, 899, 12730, 267, 10945, 267, 10580, 267, 543, 1454, 811, 269, 1656, 2899, 649, 723, 891, 5546, 267, 649, 666, 1685, 1585, 4238, 593, 873, 971, 607, 18440, 267, 15914, 267, 24758, 630, 332, 8221, 1070, 543, 12969, 532, 269, 1452, 616, 1634, 607, 14759, 780, 3086, 1577, 781, 2119, 606, 1383, 1927, 269, 14597, 649, 1616, 547, 2721, 513, 6906, 1210, 1614, 2798, 630, 272, 267, 273, 1070, 630, 275, 267, 276, 264, 543, 630, 278, 267, 279, 1040, 1677, 798, 713, 267, 649, 1131, 991, 547, 5173, 519, 9386, 540, 1142, 2427, 540, 519, 6906, 543, 1287, 1921, 519, 15956, 9935, 269, 1809, 3079, 540, 3257, 782, 602, 960, 16924, 267, 649, 666, 2328, 513, 2110, 2780, 1982, 547, 798, 621, 585, 721, 269, 3371, 781, 835, 1259, 547, 798, 621, 1210, 5124, 912, 3499, 7090, 454, 5814, 21267, 28272, 607, 12301, 692, 258, 16294, 519, 10974, 540, 519, 14622, 454, 3200, 1182, 815, 27883, 272, 267, 476, 273, 1070, 630, 275, 267, 476, 276, 1070, 630, 278, 267, 476, 279, 264, 6540, 258, 18140, 519, 14622, 607, 2699, 15956, 454, 10823, 31892, 2660, 28949, 32502, 28949, 3200, 1182, 11723, 258, 4045, 519, 14622, 609, 3515, 454, 1721, 1775, 538, 2039, 12759, 263, 3200, 1182, 9984, 272, 2187, 825, 1535, 271, 267, 586, 271, 815, 14622, 5157, 2639, 825, 1535, 272, 267, 586, 272, 815, 14622, 5157, 266, 272, 2639, 825, 12301, 19502, 8443, 343, 271, 267, 1535, 272, 3910, 1496, 344, 271, 267, 586, 272, 3910, 1412, 321, 268, 17210, 258, 8058, 519, 4729, 454, 10823, 20481, 4590, 8199, 2691, 596, 2196, 713, 3009, 267, 596, 1058, 1294, 513, 4190, 4544, 6906, 10268, 593, 707, 5496, 269, 8347, 22212, 519, 14584, 10974, 547, 1294, 875, 1114, 5546, 10836, 780, 9202, 909, 267, 649, 2811, 2469, 547, 4685, 883, 513, 5594, 811, 4359, 1888, 1572, 12985, 6988, 269, 5213, 1405, 5855, 952, 602, 4992, 25254, 282, 594, 9153, 621, 781, 4443, 982, 621, 4667, 269, 26243, 267, 12985, 6988, 4016, 547, 875, 1279, 621, 3217, 585, 513, 2780, 5690, 547, 2347, 922, 4305, 1759, 593, 519, 2450, 540, 519, 3403, 1239, 269, 2368, 6620, 1491, 3476, 982, 1866, 4470, 593, 519, 2470, 540, 519, 1966, 789, 2811, 3843, 547, 4194, 269, 1280, 3236, 267, 4466, 519, 1858, 540, 513, 13551, 568, 3622, 5488, 982, 7384, 519, 4320, 540, 513, 12106, 1317, 519, 8545, 3322, 811, 9273, 780, 2414, 9414, 713, 1523, 2417, 267, 2015, 519, 1739, 9183, 269, 14597, 596, 2811, 2016, 513, 1592, 540, 562, 2798, 16559, 14477, 2066, 513, 7077, 269, 2659, 3804, 568, 547, 3313, 2436, 1022, 6292, 540, 2798, 1106, 513, 7299, 1899, 10126, 630, 328, 4318, 1421, 2348, 519, 1482, 1535, 11282, 1040, 2290, 14255, 633, 1935, 1522, 4125, 10992, 1169, 2009, 6292, 540, 2798, 267, 799, 2164, 538, 744, 3799, 317, 273, 264, 942, 6988, 2094, 972, 616, 562, 3442, 476, 273, 8424, 547, 2638, 269, 1717, 267, 972, 6818, 513, 1579, 3164, 337, 5690, 1572, 30908, 1899, 602, 31758, 519, 1966, 538, 744, 3799, 2845, 562, 264, 942, 1107, 3648, 5488, 982, 1490, 1393, 3196, 2439, 7661, 267, 1354, 28277, 909, 938, 3408, 540, 12985, 9511, 267, 1577, 803, 6338, 596, 547, 1776, 3579, 3498, 1572, 23756, 26083, 338, 269, 9717, 513, 1305, 540, 2798, 538, 519, 7077, 267, 513, 23756, 26083, 568, 3989, 607, 519, 10545, 23756, 20372, 5627, 782, 519, 2798, 269, 898, 814, 1082, 1483, 8996, 3156, 971, 607, 5163, 4058, 585, 11608, 267, 3239, 4393, 267, 543, 3381, 3756, 269, 3371, 781, 606, 1383, 540, 513, 23756, 26083, 17223, 1210, 513, 2442, 5399, 1572, 1085, 27251, 912, 3499, 7090, 454, 5228, 1085, 27251, 4732, 6312, 658, 1104, 1230, 557, 343, 295, 1638, 454, 5814, 11885, 607, 5286, 692, 258, 2637, 4733, 4351, 2798, 454, 12639, 20179, 269, 23092, 263, 271, 994, 9557, 815, 5286, 20179, 20120, 263, 1015, 267, 476, 273, 264, 2608, 476, 1015, 692, 258, 30770, 519, 23756, 26083, 454, 327, 1638, 815, 1230, 557, 343, 295, 1638, 263, 9557, 2020, 258, 18140, 519, 3312, 2798, 607, 3109, 15956, 543, 519, 23756, 26083, 607, 513, 2699, 20372, 454, 10823, 31892, 2660, 28949, 32502, 28949, 9557, 4917, 10823, 4877, 8432, 12455, 22607, 1638, 269, 3200, 1182, 18020, 271, 3910, 26083, 269, 3200, 1182, 18020, 272, 3910, 1412, 337, 3299, 13672, 284, 271, 269, 276, 994, 10823, 20481, 4590, 8199, 1607, 3009, 12958, 4557, 4351, 2798, 1369, 513, 4009, 543, 1939, 525, 741, 23756, 26083, 269, 2052, 596, 5544, 519, 4806, 4646, 676, 519, 2699, 20372, 2496, 1103, 3932, 267, 12985, 9511, 3091, 11995, 7399, 585, 3695, 6310, 2035, 998, 5752, 269, 3245, 2870, 10875, 32331, 547, 6061, 6946, 11938, 2042, 267, 972, 781, 2141, 1945, 1007, 547, 3605, 269, 5901, 8026, 543, 19234, 609, 1114, 2553, 267, 543, 4166, 2614, 267, 596, 1932, 786, 1831, 21295, 538, 713, 3078, 2361, 269, 8414, 8193, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 312, 1695, 5622, 8436, 1336, 721, 19108, 676, 17511, 538, 891, 2979, 2474, 10778, 268, 25229, 514, 834, 577, 1986, 476, 280, 257, 3070, 454, 268, 4657, 21159, 547, 2898, 2338, 610, 6404, 17447, 454, 268, 2852, 7223, 3137, 454, 268, 834, 704, 1417, 10958, 257, 4976, 454, 268, 7824, 547, 27764, 268, 8660, 454, 268, 875, 547, 6460, 8918, 6824, 538, 9352, 9498, 454, 268, 11359, 3446, 12825, 10035, 4976, 454, 268, 27764, 476, 10695, 7132, 694, 6535, 4647, 454, 268, 13823, 2563, 10789, 3414, 10241, 2626, 454, 268, 2596, 3268, 547, 875, 547, 946, 513, 24275, 9498, 454, 268, 12270, 21335, 9498, 454, 268, 6574, 1455, 3815, 4976, 266, 19702, 1963, 454, 268, 1548, 568, 519, 2547, 1455, 14009, 286, 1215, 798, 649, 946, 519, 2547, 1455, 14009, 950, 4946, 7787, 7215, 888, 268, 1039, 543, 10208, 17447, 25258, 454, 268, 4336, 3815, 2979, 4245, 454, 268, 1141, 798, 1775, 979, 585, 513, 840, 7223, 6780, 25961, 454, 268, 8051, 589, 1433, 8281, 454, 268, 875, 547, 6460, 513, 6404, 6824, 883, 513, 8918, 454, 268, 2653, 1259, 547, 1451, 19038, 3363, 454, 268, 476, 278, 628, 3446, 2979, 1341, 1265, 519, 4336, 3815, 454, 268, 7180, 540, 5072, 540, 513, 13392, 3830, 454, 268, 5890, 11228, 25285, 454, 268, 2036, 514, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 4467, 1584, 1049, 16387, 257, 607, 851, 540, 834, 28035, 1315, 14691, 1315, 27122 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1079, 543, 519, 3196, 540, 519, 1079, 30556, 1131, 1287, 723, 547, 3160, 4642, 855, 602, 4667, 4636, 607, 1134, 269, 7490, 948, 594, 1175, 1810, 1405, 1174, 2433, 263, 563, 347, 15037, 2537, 268, 4962, 267, 476, 5881, 281, 1839, 6751, 1475, 258, 273, 2008, 296, 3494, 519, 21985, 538, 519, 6516, 616, 5921, 547, 581, 519, 4287, 540, 519, 1699, 563, 7712, 922, 782, 1175, 835, 1279, 5911, 267, 519, 10826, 660, 10876, 568, 3160, 563, 2791, 666, 1521, 891, 630, 1467, 1315, 5858, 264, 607, 5094, 3615, 563, 347, 15037, 2537, 268, 4962, 267, 476, 5881, 281, 2918, 6751, 1475, 258, 274, 2008, 2467, 568, 1152, 835, 5911, 267, 865, 594, 1589, 972, 786, 581, 1152, 835, 1699, 269, 634, 9588, 540, 519, 1699, 786, 711, 2339, 538, 519, 1439, 610, 789, 1131, 723, 5143, 621, 547, 596, 563, 2521, 6061, 519, 1966, 676, 8840, 621, 909, 883, 513, 9764, 4062, 543, 513, 2786, 5911, 4062, 563, 24280, 519, 6419, 2361, 1142, 3123, 538, 519, 4099, 540, 519, 8520, 563, 3528, 14577, 519, 681, 519, 8953, 540, 519, 8520, 596, 1058, 581, 2111, 547, 1205, 519, 6419, 2361, 547, 3160, 4642, 563, 9989, 713, 1118, 519, 1966, 20501, 888, 13043, 22923, 10726, 803, 547, 519, 24362, 563, 347, 13436, 27387, 338, 585, 281, 25080, 12197, 2060, 31230, 543, 18135, 697, 18514, 6435, 256, 2008, 23277, 8568, 12197, 693, 519, 4741, 540, 513, 18514, 31230, 1475, 4504, 1238, 2563, 8212, 14581, 1475, 1015, 2008, 347, 14075, 2786, 5911, 270, 6419, 2361, 1475, 14197, 8212, 1475, 273, 2008, 23277, 8568, 12197, 540, 5911, 593, 14328, 8520, 1475, 4504, 1238, 2563, 8212, 14581, 1475, 276, 2008, 26180, 12999, 538, 513, 18514, 31230, 530, 270, 513, 25080, 12197, 1475, 4504, 1238, 2563, 8212, 14581, 1475, 272, 2008, 23277, 8568, 12197, 540, 1699, 8876, 2786, 5911, 1475, 28723, 8212, 14581, 1475, 274, 347, 0, 288, 2564, 1153, 568, 3989, 607, 513, 6281, 268, 14445, 1049, 1153, 610, 9872, 602, 24870, 538, 519, 2069, 454, 1993, 4915, 269, 31035, 689, 2596, 2564, 5232, 267, 2564, 3506, 3622, 2709, 3292, 585, 1053, 547, 4309, 513, 9457, 779, 23422, 267, 16362, 540, 13898, 630, 4942, 6185, 1070, 543, 513, 16362, 540, 6925, 630, 13270, 264, 4110, 269, 6481, 3506, 616, 849, 3238, 538, 1082, 824, 1271, 4247, 16310, 519, 2069, 540, 4915, 269, 3509, 616, 3743, 585, 14139, 2564, 3173, 543, 10647, 1382, 267, 607, 1134, 607, 5665, 835, 610, 811, 10506, 269, 634, 1034, 1455, 5396, 6026, 538, 2564, 3506, 616, 1480, 14169, 267, 1979, 17190, 267, 14278, 1108, 267, 6375, 1108, 267, 11719, 344, 267, 4835, 4915, 267, 1920, 4915, 267, 6391, 267, 11976, 267, 543, 21454, 563, 28274, 547, 6481, 12140, 1700, 12700, 543, 22955, 912, 7212, 621, 568, 3730, 585, 1053, 547, 1174, 2564, 1153, 31213, 1354, 7311, 547, 3506, 267, 621, 849, 1058, 581, 1634, 602, 1175, 1373, 7608, 547, 513, 2564, 1153, 568, 3833, 606, 9740, 267, 1577, 4805, 2348, 1044, 7608, 547, 513, 1283, 9872, 538, 2564, 1153, 20823, 269, 16792, 547, 2564, 3506, 568, 811, 1419, 982, 711, 513, 2352, 543, 24858, 1184, 585, 16529, 1053, 3168, 547, 1118, 513, 4876, 538, 4915, 269, 4841, 17528, 547, 4283, 883, 513, 1153, 585, 519, 1101, 942, 1058, 711, 2285, 909, 267, 2705, 269, 17497, 267, 519, 1297, 540, 2564, 3506, 538, 519, 2136, 2276, 568, 476, 15782, 267, 609, 476, 1704, 267, 4037, 280, 1053, 19801, 538, 476, 1220, 278, 543, 476, 6858, 267, 1822, 1053, 19801, 538, 476, 1220, 279, 269, 2060, 713, 2479, 2987, 920, 2084, 1297, 267, 621, 568, 1256, 811, 2352, 982, 2479, 1354, 547, 581, 7608, 547, 519, 1283, 3506, 538, 519, 2197, 563, 763, 5948, 540, 1977, 6481, 30793, 2471, 630, 288, 24717, 264, 814, 5063, 4957, 3609, 585, 2564, 1053, 267, 10912, 585, 606, 2333, 676, 476, 1789, 2600, 540, 2564, 1153, 18934, 906, 676, 519, 1032, 476, 1001, 276, 269, 4014, 713, 568, 1434, 3377, 585, 17053, 2564, 1153, 1053, 267, 972, 568, 1152, 513, 476, 3393, 2600, 3084, 10343, 2557, 269, 1452, 5515, 6961, 942, 543, 942, 1586, 602, 13197, 513, 4876, 538, 4915, 711, 1152, 3217, 9639, 543, 2182, 960, 267, 855, 1164, 20440, 607, 1134, 269, 634, 3328, 2852, 717, 5183, 585, 1053, 7608, 547, 2564, 1153, 729, 476, 274, 269, 276, 269, 634, 3328, 6060, 593, 519, 14330, 2969, 729, 476, 2764, 563, 21357, 3427, 24419, 902, 912, 3086, 602, 519, 15280, 5168, 814, 1044, 6534, 267, 1346, 1053, 16529, 2614, 547, 2119, 741, 9939, 609, 1283, 6361, 7308, 2000, 626, 2564, 1153, 31213, 666, 1413, 1100, 2417, 982, 519, 3506, 2630, 267, 945, 723, 4951, 17284, 538, 1079, 2101, 6688, 538, 519, 2564, 3872, 2146, 1700, 1382, 543, 3119, 1416, 269, 1452, 2564, 1153, 31213, 723, 1044, 3964, 676, 519, 772, 2529, 269, 5240, 543, 2622, 7797, 12139, 269, 6481, 1153, 20823, 568, 513, 5650, 602, 568, 2451, 909, 547, 1454, 7521, 267, 1498, 713, 12139, 814, 6591, 513, 18019, 3239, 2094, 621, 814, 1044, 20823, 3506, 538, 519, 772, 2529, 563, 10932, 6481, 3427, 681, 21403, 912, 272, 269, 12370, 2160, 454, 273, 269, 8592, 22846, 2160, 454, 274, 269, 6115, 2160, 538, 853, 269, 8402, 454, 275, 269, 16099, 6280, 454, 276, 269, 2160, 540, 12425, 454, 277, 269, 2160, 540, 4993, 5842, 12770, 454, 278, 269, 12052, 2160, 5441, 540, 4284, 5974, 543, 31048, 976, 454, 279, 269, 18628, 2160, 454, 280, 269, 2160, 540, 12309, 7788, 1488, 4011, 454, 1015, 269, 23171, 2160, 454, 27650, 5516, 6481, 3427, 681, 21403, 912, 272, 269, 2160, 540, 6115, 454, 273, 269, 14822, 2657, 1299, 3163, 2160, 454, 274, 269, 2160, 540, 4993, 5842, 12770, 454, 275, 269, 12309, 3557, 2160, 5441, 540, 27777, 24403, 6925, 454, 276, 269, 2160, 540, 16506, 667, 592, 3578, 454, 277, 269, 2160, 540, 4993, 5842, 17630, 454, 278, 269, 2160, 540, 1715, 6792, 454, 279, 269, 2160, 540, 16855, 23885, 454, 280, 269, 2160, 540, 19578, 630, 305, 1195, 808, 269, 1299, 12359, 4068, 589, 269, 2961, 591, 994, 1015, 269, 2160, 540, 16506, 3828, 514, 20079, 454, 1556, 269, 2160, 540, 29157, 3122, 0, 951, 14244, 23666, 320, 31192, 476, 19740, 277, 268, 5379, 277, 276, 454, 3725, 341, 269, 2382, 269, 2405, 269, 21050, 269, 590, 269, 6754, 334, 2019, 269, 7918, 1100, 269, 275, 590, 14244, 6754, 334, 15567, 32220, 6210, 269, 476, 1001, 273, 454, 4041, 307, 9898, 9215, 5990, 11581, 3951, 3036, 454, 2304, 11530, 625, 538, 4915, 281, 12979, 990, 344, 13594, 538, 519, 6797, 454, 297, 657, 2946, 632, 27804, 5633, 1656, 8565, 6363, 559, 14833, 454, 293, 659, 592, 323, 1228, 632, 595, 328, 17845, 333, 857, 553, 631, 2946, 323, 545, 553, 632, 3687, 553, 717, 5028, 529, 267, 5617, 334, 21222, 517, 974, 267, 3687, 553, 717, 5028, 529, 267, 5696, 553, 559, 267, 661, 17733, 281, 18078, 17106, 11333, 3820, 454, 14582, 334, 21222, 517, 974, 267, 2904, 267, 476, 1001, 273, 454, 2304, 577, 990, 344, 13594, 538, 519, 6797, 269, 634, 2165, 834, 600, 32079, 257, 729, 2016, 676, 645, 2044, 853, 269, 27673, 547, 519, 26287, 639, 3662, 9908, 799, 814, 1044, 4330, 676, 4505, 2067, 1235, 269, 634, 2012, 729, 3144, 909, 538, 4789, 855, 519, 2165, 729, 5219, 547, 519, 3312, 5259, 8174, 566, 269, 898, 729, 2016, 547, 513, 2489, 1895, 540, 3662, 6047, 799, 8858, 15554, 641, 17377, 543, 729, 7550, 607, 513, 13598, 2012, 281, 993, 4141, 9346, 267, 513, 1689, 282, 3976, 513, 1106, 540, 4657, 3337, 276, 563, 14813, 1254, 540, 519, 6797, 676, 9980, 600, 4141, 9346, 1277, 8432, 339, 3821, 568, 519, 1034, 1455, 3063, 10784, 13656, 28658, 540, 993, 20623, 15633, 269, 634, 15495, 630, 339, 5268, 9926, 334, 2572, 264, 616, 5645, 547, 519, 6797, 676, 519, 22045, 18916, 269, 1717, 267, 538, 811, 982, 3368, 519, 2550, 972, 949, 581, 1100, 2963, 540, 993, 20623, 545, 3968, 538, 519, 22454, 543, 1100, 3935, 545, 15087, 616, 1459, 269, 589, 1889, 321, 15633, 4386, 693, 782, 6502, 269, 634, 3892, 568, 5001, 267, 855, 519, 2068, 568, 1454, 811, 1455, 538, 519, 21050, 923, 543, 5705, 1886, 923, 267, 609, 513, 1164, 11841, 538, 3127, 267, 9341, 4525, 540, 4000, 267, 6792, 543, 824, 2477, 540, 6239, 3013, 543, 8835, 1014, 16323, 272, 563, 763, 3355, 27295, 568, 606, 1858, 540, 679, 9195, 1738, 27394, 15727, 799, 1152, 2663, 9397, 1524, 547, 1106, 513, 13570, 8151, 689, 5216, 547, 476, 1321, 4699, 538, 8006, 269, 634, 1318, 27914, 568, 1034, 4749, 4299, 269, 769, 519, 1804, 11430, 6776, 15087, 519, 13570, 949, 2270, 26070, 29744, 267, 1973, 26911, 1570, 267, 3957, 993, 20623, 545, 6797, 26252, 269, 901, 568, 606, 16283, 21000, 1588, 2094, 6120, 5268, 2812, 616, 15534, 610, 616, 538, 1507, 2338, 269, 4706, 1543, 568, 4646, 676, 4508, 1030, 3539, 610, 28115, 730, 14817, 14231, 267, 3170, 5895, 2737, 267, 23925, 267, 543, 8280, 1738, 11935, 267, 16310, 519, 512, 5268, 9926, 334, 2572, 269, 2201, 14407, 6514, 267, 621, 568, 2250, 748, 267, 5394, 267, 538, 617, 5387, 267, 610, 2147, 547, 4195, 5779, 9329, 267, 2699, 29744, 267, 6010, 2989, 547, 12979, 990, 344, 13594, 269, 4475, 267, 519, 2165, 993, 20623, 545, 6797, 834, 11274, 947, 257, 568, 513, 3765, 333, 9593, 267, 4352, 1095, 20696, 269, 634, 2953, 4082, 1058, 581, 993, 20623, 545, 27394, 15727, 272, 268, 275, 563, 2304, 577, 990, 625, 616, 1507, 267, 21743, 267, 8988, 3165, 540, 519, 31745, 10394, 630, 22139, 3013, 264, 610, 1621, 13866, 529, 630, 8469, 10882, 3864, 264, 1920, 269, 1358, 616, 1644, 547, 519, 1200, 2590, 543, 13747, 676, 513, 1804, 5023, 267, 3592, 2141, 14178, 3297, 519, 3750, 267, 543, 676, 513, 5094, 11329, 2879, 719, 269, 1358, 7669, 538, 1804, 3506, 799, 949, 2270, 7366, 540, 1367, 3165, 269, 31745, 990, 625, 616, 1336, 543, 9575, 538, 5318, 2338, 538, 519, 11335, 269, 5221, 789, 616, 1507, 267, 3622, 476, 1015, 268, 1839, 4699, 630, 27917, 547, 476, 1015, 6279, 264, 538, 3259, 267, 12979, 990, 625, 616, 1419, 11821, 609, 521, 731, 1149, 630, 306, 731, 514, 7578, 12979, 990, 807, 1040, 31745, 990, 344, 13594, 568, 11593, 2139, 538, 1082, 17365, 543, 20614, 8637, 267, 2356, 538, 519, 1106, 540, 1507, 13740, 269, 31745, 990, 344, 13594, 568, 513, 5394, 267, 13671, 13594, 1500, 689, 2666, 12979, 990, 344, 2083, 7410, 267, 16693, 267, 14546, 543, 513, 2370, 4006, 547, 11218, 741, 30644, 8137, 269, 898, 729, 711, 2009, 547, 1265, 945, 1500, 519, 6476, 1063, 12979, 990, 344, 13594, 543, 519, 993, 20623, 545, 6797, 27394, 15727, 563, 272, 269, 1656, 8565, 667, 295, 267, 1656, 8565, 11219, 14243, 333, 1640, 667, 295, 269, 589, 1889, 321, 6403, 848, 269, 769, 281, 7638, 2158, 328, 681, 267, 674, 665, 3147, 807, 681, 267, 12575, 2803, 269, 2558, 520, 5964, 632, 3468, 860, 807, 269, 590, 14244, 6754, 334, 281, 16183, 928, 340, 282, 476, 1960, 277, 269, 533, 269, 476, 14625, 280, 268, 6795, 269, 1496, 25103, 23378, 273, 269, 1656, 8565, 6363, 559, 14833, 23404, 267, 623, 6511, 13382, 269, 1323, 11530, 625, 538, 4915, 269, 2271, 808, 13880, 11202, 565, 269, 476, 1220, 272, 282, 280, 281, 24833, 268, 277, 269, 1496, 25103, 23378, 274, 269, 5839, 338, 1048, 681, 301, 300, 267, 20900, 26076, 267, 2480, 515, 21838, 623, 297, 269, 11202, 1108, 540, 519, 20506, 269, 476, 273, 526, 1196, 269, 1715, 3840, 281, 26235, 12389, 339, 821, 282, 476, 2735, 278, 269, 533, 269, 476, 26727, 268, 279, 269, 1496, 25103, 23378, 275, 269, 623, 6511, 13382, 267, 1656, 8565, 6363, 559, 14833, 23404, 269, 1323, 11530, 625, 538, 4915, 281, 3407, 585, 1565, 267, 7744, 267, 19551, 543, 20803, 269, 5917, 2657, 2233, 3447, 7869, 4698, 269, 476, 1001, 271, 282, 1428, 281, 2568, 280, 268, 866, 269, 20396, 281, 476, 1015, 269, 1911, 278, 4882, 10441, 6795, 268, 25484, 268, 280, 1321, 277, 268, 273, 269, 1496, 25103, 23378, 276, 269, 16164, 1676, 22743, 269, 634, 5169, 540, 2564, 2474, 269, 476, 273, 526, 1196, 269, 22768, 281, 634, 13879, 1299, 12070, 9469, 7577, 282, 476, 3422, 272, 269, 1496, 25103, 9948 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1312, 2829, 1369, 519, 1985, 1900, 994, 268, 13268, 519, 10814, 547, 1608, 2041, 1151, 1457, 10549, 883, 16756, 6823, 8546, 630, 335, 1638, 621, 936, 519, 10814, 543, 5402, 3002, 621, 609, 519, 14788, 540, 707, 4421, 1359, 4401, 264, 610, 13471, 11746, 267, 610, 693, 2547, 1118, 873, 693, 1114, 7158, 267, 547, 2057, 1022, 2110, 902, 563, 7712, 27178, 630, 23409, 661, 2466, 1154, 667, 1675, 525, 264, 1152, 10141, 1699, 538, 835, 4287, 267, 789, 616, 9141, 676, 9823, 630, 29715, 1699, 267, 602, 1152, 8928, 538, 835, 4287, 1496, 3453, 1699, 316, 1040, 2334, 568, 1946, 621, 568, 1898, 547, 1921, 873, 5265, 538, 1931, 547, 1599, 563, 3383, 267, 547, 4137, 856, 267, 799, 835, 540, 519, 17066, 568, 1341, 263, 1321, 309, 264, 1496, 17884, 958, 2699, 316, 543, 799, 568, 910, 263, 271, 309, 264, 1496, 294, 21254, 610, 16140, 267, 7363, 3109, 3910, 11690, 538, 707, 1379, 3761, 3274, 3180, 519, 1079, 12904, 1524, 5196, 519, 1079, 1114, 1151, 1457, 21181, 593, 707, 10896, 14816, 630, 339, 820, 519, 9102, 2261, 902, 593, 519, 14816, 607, 513, 3391, 1916, 2252, 789, 798, 711, 1769, 909, 538, 713, 1259, 267, 596, 4440, 4448, 873, 609, 4636, 8701, 640, 269, 8347, 1586, 676, 11544, 741, 7158, 909, 630, 528, 16212, 519, 6467, 952, 596, 723, 835, 1040, 1411, 666, 6382, 1256, 2638, 713, 676, 1797, 540, 513, 1617, 9014, 538, 7154, 281, 476, 2568, 966, 284, 1496, 6518, 568, 519, 3090, 585, 9823, 14073, 11514, 6618, 1379, 3761, 1354, 596, 8399, 563, 6524, 4421, 1359, 267, 1118, 2386, 267, 596, 723, 707, 10814, 13988, 538, 519, 1318, 4287, 281, 2094, 519, 10814, 779, 2736, 719, 8559, 1058, 581, 538, 519, 1394, 540, 519, 3926, 267, 1118, 2386, 621, 10596, 519, 1079, 8142, 539, 9475, 267, 799, 786, 267, 538, 519, 1739, 1900, 267, 581, 1031, 547, 3180, 519, 10814, 538, 1747, 563, 5629, 596, 723, 1336, 1697, 8701, 640, 267, 4019, 930, 1151, 1457, 593, 519, 3844, 1151, 1457, 21181, 593, 707, 10896, 3613, 8692, 543, 1287, 1151, 1457, 1341, 1321, 966, 1496, 17141, 2699, 316, 3761, 10814, 3346, 547, 602, 630, 604, 707, 10814, 267, 899, 9553, 267, 814, 513, 7542, 1679, 4295, 607, 1164, 4908, 6846, 6882, 267, 602, 786, 711, 1118, 621, 3514, 883, 519, 23094, 8027, 2663, 593, 267, 2901, 1175, 2759, 621, 1055, 267, 610, 8831, 707, 12904, 585, 827, 476, 274, 268, 275, 4699, 899, 538, 1900, 476, 274, 1916, 9202, 2110, 523, 519, 717, 21254, 5911, 676, 827, 476, 278, 6515, 267, 14816, 1055, 827, 476, 276, 6515, 540, 519, 13471, 267, 1000, 20071, 267, 4172, 520, 609, 1151, 1457, 543, 1151, 1457, 621, 547, 519, 717, 21254, 1151, 1457, 14950, 563, 268, 6875, 1079, 2110, 631, 274, 25336, 540, 827, 476, 276, 6515, 3259, 543, 2046, 519, 3761, 10814, 1524, 1996, 519, 5377, 6676, 781, 1496, 299, 272, 316, 2627, 563, 303, 29888, 538, 519, 1379, 3761, 543, 630, 327, 2100, 2685, 264, 4585, 519, 27178, 1769, 909, 563, 1015, 269, 273, 1306, 14517, 634, 590, 12714, 454, 268, 3399, 609, 519, 5440, 4494, 700, 278, 543, 1747, 621, 26700, 1524, 630, 810, 602, 596, 666, 1224, 519, 6106, 23678, 1324, 1412, 299, 9707, 476, 278, 910, 5440, 910, 667, 12495, 728, 262, 1916, 268, 1325, 793, 700, 277, 543, 700, 276, 609, 519, 1603, 6849, 547, 700, 278, 781, 17498, 728, 630, 810, 602, 596, 666, 711, 1294, 621, 1070, 676, 741, 18921, 543, 741, 9475, 563, 268, 21115, 342, 873, 1927, 676, 1797, 540, 1614, 631, 274, 343, 1015, 25336, 630, 1492, 17684, 9843, 723, 547, 581, 4625, 15179, 539, 538, 519, 4831, 1630, 637, 540, 700, 276, 781, 17498, 728, 563, 268, 5410, 700, 275, 543, 700, 274, 547, 519, 10198, 267, 1175, 607, 700, 277, 543, 700, 276, 538, 1900, 476, 273, 269, 543, 476, 274, 563, 268, 5410, 519, 1412, 305, 532, 262, 1496, 299, 273, 316, 543, 6368, 519, 645, 18847, 23771, 1496, 299, 272, 316, 609, 7923, 27178, 547, 519, 10198, 267, 1175, 607, 700, 277, 543, 700, 276, 538, 1900, 476, 273, 269, 543, 476, 274, 269, 634, 10260, 1058, 1631, 2196, 998, 519, 7934, 538, 519, 8258, 563, 268, 1411, 666, 6368, 8936, 1614, 1507, 1582, 14194, 1127, 633, 12285, 21181, 607, 3952, 630, 296, 1131, 2303, 1582, 1507, 23287, 12285, 547, 1824, 625, 267, 3168, 899, 20256, 1916, 268, 7053, 2490, 519, 2898, 3364, 1472, 543, 1769, 621, 909, 2433, 994, 3721, 476, 1556, 281, 15012, 519, 26629, 806, 8625, 454, 763, 15937, 30767, 454, 5475, 519, 8955, 814, 8737, 678, 2120, 1944, 543, 5969, 856, 519, 5776, 2465, 267, 621, 568, 942, 585, 519, 13858, 4090, 540, 9322, 267, 1141, 519, 5776, 2465, 568, 17332, 883, 519, 23094, 781, 18921, 256, 2433, 994, 2252, 519, 1796, 2465, 568, 711, 17501, 912, 268, 1403, 519, 18921, 568, 1932, 6094, 267, 799, 666, 2049, 25864, 569, 1813, 547, 8795, 7109, 1734, 538, 28778, 6656, 11098, 269, 630, 2252, 596, 1931, 476, 277, 6515, 621, 568, 7363, 5594, 25182, 267, 799, 568, 15502, 267, 855, 538, 930, 2665, 621, 568, 513, 3787, 23198, 264, 3807, 632, 23829, 14517, 519, 23094, 267, 10544, 513, 5386, 3758, 543, 14219, 720, 519, 18921, 630, 517, 700, 274, 547, 700, 278, 264, 689, 519, 17498, 728, 630, 810, 666, 711, 581, 2938, 689, 519, 3330, 1070, 610, 5402, 23542, 880, 519, 16677, 652, 531, 781, 11098, 609, 513, 12966, 5070, 518, 563, 268, 1403, 621, 568, 1454, 1932, 2647, 543, 519, 5776, 2465, 568, 711, 4371, 16119, 267, 855, 695, 871, 956, 1472, 267, 16833, 930, 6106, 540, 12001, 20202, 11746, 1472, 519, 5776, 2465, 781, 16677, 652, 531, 563, 3682, 338, 1051, 1280, 8892, 5455, 326, 10232, 454, 268, 681, 16412, 6441, 3633, 5610, 454, 268, 2859, 5776, 2465, 268, 17637, 338, 454, 268, 7756, 590, 12714, 268, 17637, 338, 630, 2265, 320, 6438, 3889, 267, 3574, 267, 2702, 547, 3180, 2789, 1796, 4315, 693, 2899, 267, 3267, 994, 268, 21091, 6467, 538, 23094, 630, 296, 1185, 602, 538, 1250, 1101, 4528, 267, 855, 594, 1223, 711, 1265, 1022, 3044, 2213, 835, 267, 602, 568, 2139, 689, 9170, 538, 519, 1158, 267, 865, 594, 4682, 609, 519, 10260, 6467, 1935, 267, 602, 568, 711, 4470, 593, 2027, 23094, 12381, 994, 2252, 596, 723, 2093, 585, 602, 267, 5225, 1745, 1863, 547, 1577, 803, 917, 543, 547, 2303, 1022, 2093, 994, 31917, 8490, 3025, 256, 2433, 264, 18461, 1863, 547, 6085, 267, 10404, 1125, 543, 2671, 563, 7775, 952, 596, 2196, 883, 1022, 2042, 610, 991, 948, 610, 2417, 3137, 267, 1175, 3346, 803, 543, 649, 786, 9585, 602, 1927, 630, 16129, 25357, 267, 4787, 4286, 267, 12243, 8698, 518, 267, 3267, 1916, 27396, 730, 538, 519, 454, 17359, 25400, 21558, 2552, 652, 476, 1001, 277 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3057, 1388, 20556, 543, 849, 5600, 3835, 13756, 538, 519, 12745, 540, 4317, 3163, 910, 589, 5530, 540, 23779, 543, 11565, 692, 4089, 476, 272, 281, 4985, 547, 3057, 1388, 2078, 543, 7731, 16840, 10613, 692, 1103, 713, 1062, 3926, 267, 938, 8561, 4991, 593, 3695, 7365, 543, 1920, 2818, 2853, 998, 519, 7828, 540, 1514, 2257, 267, 4481, 2921, 513, 1413, 693, 519, 2093, 540, 8622, 8540, 543, 1293, 593, 269, 769, 4207, 2486, 267, 29281, 3347, 543, 3885, 616, 3964, 2390, 513, 5748, 540, 3656, 11731, 602, 14574, 2924, 267, 13800, 267, 543, 6788, 269, 1452, 11650, 2154, 11826, 15984, 547, 1876, 995, 5773, 547, 2327, 741, 26117, 267, 3976, 10771, 519, 1871, 540, 6284, 543, 4096, 593, 1369, 891, 24284, 780, 22704, 476, 273, 281, 19043, 540, 23779, 538, 3057, 1388, 20556, 543, 7731, 10613, 692, 13434, 10744, 4016, 547, 519, 6101, 13170, 610, 28431, 2016, 676, 513, 5078, 6392, 610, 1560, 547, 19472, 1808, 3540, 23118, 543, 11645, 269, 10738, 519, 2796, 540, 7365, 543, 1920, 2409, 267, 6284, 666, 1491, 3875, 5686, 267, 1519, 3656, 8622, 8540, 540, 12352, 267, 15366, 9021, 267, 18472, 2924, 267, 543, 1454, 811, 269, 6270, 2369, 1431, 4196, 547, 2149, 519, 4690, 540, 782, 6105, 3238, 1247, 10123, 4180, 6617, 543, 15364, 1369, 10820, 543, 7239, 780, 763, 1184, 540, 3478, 513, 2405, 718, 542, 853, 2086, 2871, 5875, 2465, 267, 607, 11329, 856, 538, 519, 6679, 1349, 267, 14550, 519, 4644, 540, 6284, 538, 17516, 9388, 543, 7303, 796, 32016, 2238, 269, 6684, 267, 538, 519, 2796, 540, 7365, 543, 7622, 2553, 267, 6284, 4249, 513, 2565, 1909, 538, 4570, 908, 519, 13597, 543, 1850, 1275, 540, 4296, 267, 7551, 23478, 4027, 543, 1489, 547, 1346, 2404, 609, 873, 780, 4089, 476, 274, 281, 8490, 667, 2570, 2201, 3842, 23779, 692, 307, 6412, 568, 513, 4105, 5057, 540, 1022, 1826, 540, 4276, 267, 3226, 865, 1369, 519, 2796, 540, 1920, 2818, 543, 22888, 269, 898, 568, 9112, 2390, 513, 4396, 5748, 540, 22371, 267, 19969, 267, 543, 2792, 269, 1879, 621, 4145, 1876, 2685, 11006, 12417, 267, 6284, 5713, 547, 7794, 7048, 593, 1063, 2621, 267, 607, 621, 2488, 6169, 540, 11428, 543, 3838, 5539, 2509, 16180, 4579, 783, 19647, 780, 3528, 10018, 532, 519, 10727, 540, 13075, 5638, 267, 607, 12006, 538, 519, 3355, 1349, 267, 2405, 718, 542, 853, 2086, 654, 1551, 656, 625, 3565, 14320, 547, 2679, 3972, 1851, 16873, 3769, 269, 10313, 2406, 267, 538, 7365, 543, 1920, 2818, 1305, 5725, 267, 6284, 3091, 2963, 540, 7029, 543, 1279, 3856, 6278, 267, 4061, 5807, 513, 2631, 540, 3354, 543, 6015, 1851, 4759, 540, 519, 1920, 780, 4089, 476, 275, 281, 7351, 12367, 543, 7464, 21509, 6201, 692, 25387, 267, 972, 814, 1044, 513, 3395, 535, 611, 2509, 1482, 20967, 7365, 8622, 8540, 5001, 269, 1306, 1256, 811, 6082, 9777, 622, 1482, 20967, 7365, 267, 789, 11760, 519, 3160, 2924, 540, 11806, 266, 2043, 547, 1106, 16155, 11006, 543, 6444, 12352, 269, 901, 1646, 19156, 519, 10083, 540, 6284, 538, 3384, 513, 5150, 543, 11931, 4259, 1141, 4891, 666, 16175, 2769, 2933, 543, 2671, 741, 2729, 1927, 780, 288, 8037, 1383, 540, 713, 13120, 3788, 538, 519, 2136, 2276, 267, 1141, 519, 10966, 7040, 12199, 538, 744, 828, 613, 325, 749, 642, 269, 32095, 2471, 630, 1001, 276, 264, 602, 1533, 7400, 536, 753, 593, 1482, 20967, 7365, 941, 796, 6247, 6627, 267, 18867, 8260, 908, 18487, 8622, 8540, 540, 971, 18787, 269, 901, 19506, 3903, 729, 513, 1713, 17636, 585, 15156, 540, 3160, 7365, 2924, 267, 10223, 519, 1898, 1599, 6284, 4249, 538, 5009, 7862, 543, 5126, 1369, 2528, 780, 12234, 267, 2413, 2029, 814, 2965, 4843, 1007, 7399, 585, 6552, 8622, 8540, 3157, 267, 7175, 15185, 543, 3885, 547, 1685, 4013, 1870, 2228, 269, 7913, 2405, 718, 542, 853, 2086, 2871, 5875, 4315, 267, 607, 606, 3236, 267, 1631, 5512, 1710, 534, 857, 619, 547, 20716, 6461, 6510, 4574, 1510, 519, 10421, 585, 2168, 6228, 267, 11744, 875, 5647, 666, 20928, 543, 3986, 6284, 5574, 780, 6962, 692, 1607, 1576, 1062, 3926, 8711, 519, 2956, 540, 6284, 543, 849, 3972, 1369, 519, 2796, 540, 7365, 543, 1920, 2409, 269, 3414, 9488, 6268, 543, 2502, 8320, 267, 10453, 786, 6157, 10536, 513, 4514, 1620, 540, 4010, 875, 891, 3741, 14441, 6617, 267, 3354, 267, 543, 14619, 1369, 3885, 543, 4529, 269, 5015, 267, 676, 10992, 856, 1459, 3270, 543, 10124, 267, 27466, 525, 786, 5660, 519, 5571, 4720, 540, 7365, 543, 1920, 2818, 2853, 543, 741, 1764, 593, 3677, 6848, 8155, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 7072, 634, 3498, 5650, 267, 4122, 9833, 9744, 267, 568, 513, 2629, 3693, 547, 3181, 6064, 269, 21733, 3931, 513, 2405, 718, 542, 853, 2086, 2667, 4269, 14122, 6297, 1719, 547, 1344, 267, 9967, 540, 519, 4901, 540, 16048, 6284, 543, 3617, 6054, 269, 901, 711, 1175, 18715, 519, 3106, 543, 3354, 540, 519, 4308, 2943, 11338, 6411, 607, 606, 21677, 8957, 2009, 10363, 4247, 269, 634, 7589, 540, 8492, 267, 971, 607, 2883, 5238, 543, 30549, 720, 6109, 3549, 267, 2882, 606, 3606, 4494, 540, 3972, 10290, 1465, 547, 519, 5650, 267, 1128, 3739, 1582, 21873, 538, 1312, 16873, 1303, 9229, 269, 634, 5383, 540, 2405, 718, 542, 853, 2086, 2405, 718, 542, 853, 2086, 6796, 3038, 3187, 2667, 584, 1734, 4228, 2250, 519, 5401, 6718, 269, 1635, 1818, 1978, 519, 17258, 540, 2804, 6119, 267, 891, 1028, 584, 1734, 1039, 547, 14335, 3972, 2508, 10838, 519, 16873, 1303, 9229, 269, 22217, 4328, 519, 4483, 540, 1760, 7724, 2501, 547, 581, 711, 3274, 606, 3390, 540, 2773, 2943, 513, 21981, 547, 519, 6870, 2497, 593, 799, 891, 16306, 818, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 11321, 5846, 543, 7731, 13756, 257, 607, 851, 540, 834, 24719, 13316, 1315, 31654, 1682, 1299, 26492, 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, 22564, 5525, 538, 16520, 29576, 910, 4197, 1215, 5678, 20710, 2471, 27639, 692, 8702, 267, 1762, 3988, 256, 4653, 649, 2811, 2469, 547, 7832, 593, 606, 3078, 3460, 998, 519, 4241, 1158, 540, 1893, 543, 3332, 676, 3695, 22564, 5525, 267, 799, 4249, 513, 2629, 1909, 538, 13354, 3332, 269, 1284, 786, 1451, 875, 6037, 2209, 948, 3142, 2984, 689, 1114, 4529, 6251, 547, 721, 1247, 8497, 741, 9759, 543, 5898, 269, 1924, 1577, 781, 4685, 1318, 538, 2439, 5331, 596, 616, 2542, 707, 5172, 1433, 267, 855, 10393, 8275, 621, 4992, 9490, 1317, 930, 1913, 1810, 1405, 3100, 3833, 1318, 269, 898, 1522, 723, 1044, 12261, 689, 1776, 1893, 256, 1879, 4589, 2328, 2835, 538, 4654, 824, 982, 16523, 267, 789, 991, 2576, 2027, 1572, 513, 1412, 10520, 331, 1807, 262, 547, 6460, 1346, 9589, 10600, 883, 707, 5065, 11469, 865, 602, 3025, 666, 2972, 873, 8449, 269, 1809, 1018, 2306, 8144, 1312, 4101, 543, 1271, 286, 2913, 781, 1265, 856, 2439, 1262, 1432, 568, 22564, 5525, 15140, 9558, 3175, 5525, 568, 513, 2361, 6131, 547, 1620, 875, 2854, 5931, 666, 2951, 1063, 1585, 4654, 543, 4529, 1247, 4509, 741, 3312, 2495, 267, 2511, 267, 9644, 267, 4664, 267, 543, 1764, 269, 3807, 899, 6061, 13410, 267, 6037, 2209, 4062, 1927, 1142, 2262, 267, 4845, 267, 543, 2856, 267, 4180, 602, 4986, 4991, 4503, 2059, 519, 1259, 269, 1635, 4974, 713, 1184, 267, 5640, 3605, 811, 827, 10409, 16082, 267, 2686, 3604, 267, 543, 5339, 2553, 1031, 2066, 519, 8608, 780, 1262, 3963, 798, 649, 10261, 25927, 2209, 15140, 9558, 331, 2209, 957, 607, 13123, 8220, 3309, 2950, 543, 4687, 2189, 5380, 269, 1358, 5512, 1004, 945, 3717, 1114, 4654, 547, 5968, 267, 1174, 267, 543, 5660, 835, 1776, 781, 1568, 269, 9453, 6037, 2209, 267, 1082, 25704, 971, 607, 9089, 267, 9954, 267, 14676, 267, 9413, 267, 543, 1256, 3381, 3756, 9327, 1405, 3914, 3564, 741, 3312, 1893, 7496, 269, 5994, 2760, 1373, 2111, 547, 1224, 16452, 25260, 610, 4585, 22456, 717, 3031, 2993, 8874, 1175, 1317, 789, 941, 2813, 538, 1114, 4654, 2439, 1262, 1692, 6496, 22564, 4518, 15140, 4263, 922, 4295, 267, 8144, 3322, 14291, 1913, 689, 835, 1893, 547, 1776, 1247, 5329, 519, 5497, 5048, 16856, 269, 1717, 267, 972, 781, 1454, 811, 547, 621, 982, 10742, 519, 3750, 256, 589, 1434, 6037, 1807, 15109, 2188, 899, 2796, 267, 3159, 267, 18986, 1682, 267, 5595, 10096, 267, 5309, 338, 267, 24668, 267, 30053, 267, 11733, 267, 543, 3140, 8100, 1107, 1818, 2386, 9039, 540, 891, 2609, 1205, 4503, 1282, 519, 4483, 269, 2991, 782, 267, 13830, 519, 6891, 540, 519, 3312, 960, 568, 1898, 2439, 2690, 1383, 267, 2015, 519, 3943, 8360, 834, 14765, 773, 632, 642, 643, 516, 2437, 799, 1797, 834, 2809, 540, 2713, 1701, 1403, 2576, 6836, 547, 14377, 621, 12777, 2262, 16519, 30087, 883, 2296, 267, 621, 1131, 6336, 922, 19259, 543, 19621, 1871, 269, 5502, 267, 513, 9952, 6037, 1807, 27711, 519, 18941, 3297, 519, 4082, 267, 4611, 538, 513, 18991, 21235, 6697, 602, 24889, 609, 2296, 10529, 780, 1262, 29936, 538, 22564, 4373, 15919, 267, 1978, 2035, 610, 5515, 540, 4633, 3274, 1810, 1405, 2291, 538, 3077, 4654, 267, 8506, 3860, 1966, 9010, 1983, 689, 6037, 2209, 269, 1280, 3236, 267, 5545, 814, 1896, 2157, 540, 2184, 8864, 3710, 883, 922, 8239, 1062, 267, 6466, 2296, 3085, 1405, 6655, 2463, 610, 1106, 1275, 3833, 607, 5705, 569, 269, 1677, 10994, 971, 2152, 267, 6037, 2209, 1590, 5490, 4514, 883, 519, 2707, 1570, 543, 2528, 267, 4466, 5499, 2081, 547, 2769, 14542, 2093, 3927, 780, 11101, 267, 1169, 1893, 27372, 936, 942, 267, 15268, 547, 6848, 10593, 543, 6639, 7760, 269, 901, 3586, 1689, 8591, 6106, 540, 6988, 547, 8144, 2094, 7215, 2442, 1242, 5063, 949, 3668, 5973, 757, 538, 4587, 4654, 269, 4935, 267, 9363, 8242, 609, 10409, 3466, 3587, 4105, 585, 6037, 2209, 2324, 2066, 2789, 10209, 1132, 780, 1103, 3932, 267, 22564, 5525, 5713, 607, 606, 16832, 1907, 538, 8744, 3309, 2148, 2137, 1927, 269, 3414, 6297, 2079, 543, 15826, 9542, 267, 6037, 2209, 2327, 6209, 15377, 1851, 2518, 9458, 267, 5807, 7279, 543, 7071, 585, 4914, 4529, 269, 1306, 596, 3136, 3395, 607, 513, 5467, 267, 1832, 3206, 827, 875, 707, 5172, 2835, 1223, 1413, 952, 4843, 538, 1114, 4654, 1107, 621, 781, 5963, 2247, 1532, 17344, 1782, 256, 8414, 2542, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 685, 763, 1981, 540, 12955, 689, 6391, 729, 4389, 13497, 17483, 32747, 7905, 590, 21417, 1066, 700, 4768, 6199, 2968, 19832, 609, 6391, 950, 646, 267, 607, 513, 1762, 812, 267, 1705, 1010, 22631, 1222, 538, 13095, 1457, 269, 1261, 2663, 2968, 606, 18368, 28601, 4390, 1369, 15499, 6391, 563, 7069, 1101, 2462, 552, 675, 6390, 4090, 729, 950, 594, 267, 1310, 2348, 2016, 2234, 23956, 547, 519, 2634, 630, 327, 2089, 665, 25283, 264, 540, 1007, 23899, 14148, 998, 513, 17209, 693, 519, 4972, 540, 22845, 267, 1483, 2213, 602, 782, 8229, 4296, 547, 519, 2281, 602, 1185, 20374, 1813, 547, 519, 2234, 23956, 4797, 547, 581, 22555, 538, 519, 1482, 1259, 269, 2334, 568, 267, 519, 13539, 540, 8229, 4296, 1281, 711, 4096, 593, 519, 4527, 540, 519, 18579, 2281, 267, 543, 519, 6602, 1500, 803, 1589, 602, 594, 1131, 6108, 1250, 1272, 3257, 2596, 1382, 883, 519, 1646, 540, 519, 2634, 563, 7069, 2034, 2462, 552, 675, 6390, 4090, 7018, 950, 594, 729, 2866, 547, 1831, 513, 18874, 543, 2542, 513, 1433, 593, 2242, 547, 519, 8229, 3761, 547, 519, 23856, 6989, 1310, 4758, 4332, 267, 3370, 676, 519, 1158, 1922, 13904, 5507, 6413, 267, 853, 269, 8575, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 9558, 3175 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 594, 1152, 5828, 1394, 2899, 607, 2484, 607, 1763, 20403, 282, 855, 594, 1185, 3232, 5359, 689, 519, 11653, 538, 5279, 267, 543, 10492, 945, 3357, 689, 519, 15493, 1419, 6045, 547, 803, 519, 2898, 3364, 267, 609, 513, 6609, 540, 519, 20739, 22486, 14884, 782, 519, 1259, 689, 27850, 6807, 547, 24611, 269, 594, 993, 18617, 602, 519, 1981, 547, 1272, 547, 519, 8030, 543, 2367, 593, 602, 16456, 4628, 3160, 539, 602, 593, 519, 1236, 3305, 880, 11060, 267, 1572, 585, 607, 1164, 606, 1931, 540, 10100, 267, 543, 4628, 3160, 539, 621, 538, 2956, 269, 12846, 267, 594, 8969, 952, 972, 581, 1022, 13766, 538, 942, 540, 4708, 547, 10891, 513, 24767, 16887, 547, 960, 519, 4108, 16456, 338, 538, 942, 540, 2112, 267, 1317, 538, 4708, 891, 1482, 2367, 2744, 782, 519, 2556, 1995, 267, 4865, 782, 519, 29412, 543, 10100, 540, 7980, 267, 543, 1152, 991, 519, 17573, 4027, 543, 6351, 540, 519, 2556, 5721, 28621, 731, 267, 799, 949, 581, 7768, 540, 519, 9663, 331, 537, 326, 1117, 2367, 4947, 543, 2469, 267, 610, 540, 3877, 1500, 689, 519, 2199, 575, 1551, 11143, 547, 519, 15493, 269, 0, 2026, 649, 11441, 585, 513, 22928, 2104, 267, 5907, 9657, 3435, 1404, 513, 2629, 1909, 538, 5883, 552, 2914, 4292, 19100, 269, 769, 713, 3296, 267, 649, 786, 2263, 519, 2956, 540, 5907, 9657, 3435, 543, 875, 789, 3565, 547, 513, 4264, 543, 3039, 2104, 269, 1284, 786, 1865, 519, 2640, 540, 9657, 552, 2914, 4292, 543, 6338, 930, 18019, 11418, 9657, 3549, 563, 268, 18329, 9657, 3435, 616, 1898, 585, 2679, 513, 4264, 543, 3039, 2104, 563, 268, 5682, 2029, 10124, 267, 971, 607, 3859, 543, 2842, 1379, 267, 616, 30507, 1648, 5108, 563, 268, 4826, 5726, 4066, 616, 2629, 538, 5466, 519, 8833, 593, 1216, 2200, 563, 268, 21992, 906, 538, 552, 2914, 4292, 9657, 2553, 616, 5355, 519, 4398, 540, 5907, 3653, 12871, 563, 268, 19889, 7888, 2326, 543, 4070, 2409, 616, 4227, 938, 2825, 11640, 563, 2691, 621, 2501, 547, 5907, 9657, 3435, 267, 3549, 899, 476, 275, 5682, 14136, 808, 6064, 31203, 616, 3056, 519, 1259, 269, 1358, 1683, 6325, 543, 3608, 552, 2914, 4292, 9657, 2533, 269, 1411, 666, 3346, 873, 693, 476, 25834, 268, 28510, 268, 279, 2420, 274, 547, 1451, 811, 827, 741, 2533, 543, 3565, 547, 513, 22928, 2104, 563, 763, 19043, 540, 661, 2914, 4292, 27822, 454, 292, 2914, 4292, 9657, 568, 1898, 585, 10893, 519, 2825, 1764, 540, 5907, 3457, 543, 4180, 519, 3743, 12871, 540, 13818, 2326, 269, 1306, 519, 1158, 3587, 5051, 882, 5050, 593, 2029, 267, 519, 2179, 540, 5907, 3653, 6383, 5170, 547, 1332, 693, 606, 24034, 2557, 269, 9453, 1697, 9657, 543, 2359, 267, 552, 2914, 4292, 666, 3565, 547, 5533, 267, 4199, 22930, 267, 543, 1072, 10898, 563, 306, 20980, 9657, 3435, 616, 2629, 538, 19086, 891, 2942, 2360, 269, 1635, 9657, 5907, 3653, 267, 3407, 2326, 971, 607, 4154, 267, 8988, 267, 7601, 267, 543, 4686, 3618, 8407, 666, 581, 16626, 543, 32419, 538, 519, 2504, 540, 1007, 3457, 267, 4227, 519, 991, 585, 5599, 543, 25137, 2067, 2200, 269, 3958, 267, 3743, 552, 2914, 4292, 9657, 11151, 13818, 6878, 899, 1291, 267, 16035, 267, 543, 20017, 26606, 689, 8764, 908, 519, 1604, 543, 30286, 4220, 547, 1480, 1072, 563, 19931, 5907, 3653, 2359, 568, 711, 1152, 1271, 585, 519, 1459, 855, 849, 585, 2104, 5481, 269, 1635, 12561, 4264, 2853, 267, 649, 666, 2327, 513, 15777, 543, 8902, 1604, 585, 6000, 543, 585, 1346, 547, 2097, 269, 898, 568, 938, 5539, 547, 1489, 552, 2914, 4292, 9657, 7341, 543, 3895, 513, 9764, 4346, 1141, 5907, 3457, 616, 32419, 267, 30465, 267, 610, 13381, 538, 606, 13476, 7874, 6073, 563, 763, 10020, 540, 476, 275, 5682, 14136, 808, 6064, 31203, 454, 14071, 693, 476, 275, 5682, 14136, 808, 6064, 31203, 616, 8149, 547, 3246, 4264, 9657, 3435, 585, 5907, 3653, 269, 3776, 6131, 2319, 5849, 602, 782, 6394, 552, 2914, 4292, 568, 17411, 543, 26356, 540, 19100, 267, 20170, 547, 7453, 2825, 6042, 269, 1284, 4225, 519, 10868, 540, 3407, 3334, 585, 9657, 543, 960, 5702, 609, 14468, 9657, 6703, 547, 2327, 519, 1697, 2126, 540, 13818, 2326, 269, 13555, 721, 693, 476, 25834, 268, 28510, 268, 279, 2420, 274, 547, 8430, 513, 4584, 1575, 543, 3565, 547, 513, 22928, 2104, 3034, 347, 19119, 540, 661, 2914, 4292, 27822, 281, 2008, 347, 24965, 806, 5533, 543, 2825, 3441, 3361, 676, 16789, 12871, 2008, 347, 8256, 12883, 2067, 2200, 998, 519, 6051, 540, 3407, 2326, 2008, 347, 7093, 24000, 13818, 6878, 689, 8764, 908, 519, 1604, 2008, 347, 11045, 2176, 519, 5912, 547, 513, 9764, 4346, 543, 4264, 2853, 2008, 3528, 9301, 519, 4644, 540, 552, 2914, 4292, 9657, 543, 8362, 10283, 538, 3743, 5907, 3653, 2359, 267, 649, 666, 3565, 547, 2679, 513, 22928, 543, 811, 4264, 2104, 563, 16675, 5303, 11627, 725, 454, 3849, 9330, 906, 538, 3039, 2029, 267, 1519, 3859, 1379, 267, 2842, 1379, 267, 543, 6915, 30669, 267, 616, 30507, 519, 1259, 649, 5352, 1648, 543, 6117, 519, 991, 585, 4264, 9657, 3435, 269, 1452, 10124, 616, 711, 1152, 4227, 938, 13829, 593, 8093, 10173, 855, 849, 7700, 547, 513, 22928, 543, 811, 4264, 2104, 563, 23530, 1648, 814, 2938, 1713, 7760, 538, 2487, 1296, 269, 4400, 3887, 11797, 25675, 2281, 543, 3859, 9075, 723, 1500, 3859, 1379, 1949, 811, 4052, 543, 1942, 15807, 269, 901, 814, 3366, 547, 2799, 10073, 540, 3859, 1648, 607, 513, 7791, 1648, 2707, 585, 10821, 543, 5010, 5656, 269, 4340, 547, 519, 9891, 6052, 24322, 5948, 267, 519, 3859, 2872, 4810, 513, 2594, 31771, 2208, 538, 476, 1708, 271, 267, 609, 606, 3606, 476, 866, 269, 273, 17254, 1177, 30476, 540, 3859, 8704, 563, 20360, 1379, 568, 1776, 1883, 6345, 538, 519, 3039, 2029, 4838, 269, 5510, 17060, 2842, 11396, 543, 1507, 8397, 2842, 1379, 1949, 616, 19713, 519, 1379, 540, 2842, 547, 5352, 5201, 269, 634, 6820, 6489, 6052, 7027, 5359, 602, 519, 19469, 8704, 2842, 1379, 4390, 6603, 476, 278, 6246, 17254, 1177, 30476, 676, 519, 1439, 540, 476, 1708, 271, 267, 20209, 9760, 519, 3395, 2956, 540, 2842, 1648, 538, 519, 2518, 1648, 3575, 563, 27807, 30669, 267, 6508, 689, 5214, 2326, 899, 1031, 5986, 3282, 543, 6694, 3653, 267, 849, 2709, 513, 4264, 4244, 547, 2757, 8093, 10173, 269, 1358, 723, 519, 1761, 547, 581, 3327, 16250, 23018, 543, 666, 948, 2569, 8511, 3154, 5434, 269, 634, 4139, 24997, 6052, 10837, 5359, 602, 6915, 325, 3241, 2504, 6603, 476, 14917, 5479, 20990, 538, 476, 1708, 271, 267, 7700, 547, 513, 811, 4264, 6283, 5823, 563, 347, 16675, 5303, 11627, 725, 1475, 3849, 9330, 906, 2008, 16085, 6897, 5295, 1475, 11947, 3887, 11797, 25675, 2281, 267, 3859, 9075, 2008, 347, 20360, 5295, 1475, 19423, 17060, 2842, 11396, 267, 1507, 8397, 2842, 1379, 1949, 2008, 21270, 1470, 30669, 1475, 32056, 1882, 689, 5214, 2326, 267, 1761, 3327, 16250, 23018, 4492, 2008, 12850, 11094, 16370, 454, 12850, 5726, 4066, 267, 971, 607, 5100, 12555, 1949, 543, 964, 531, 1588, 2409, 267, 616, 2629, 538, 19086, 519, 2810, 2604, 593, 938, 1216, 2200, 269, 2060, 519, 2518, 2551, 6385, 3395, 543, 2916, 1689, 12615, 908, 1216, 20317, 267, 621, 814, 1831, 16122, 547, 9772, 5499, 3435, 602, 3895, 3608, 1216, 946, 543, 5726, 563, 27319, 12555, 1949, 723, 7153, 607, 513, 3014, 7302, 9734, 538, 519, 2361, 540, 1216, 2359, 269, 1452, 1949, 8415, 4359, 8596, 543, 4365, 1239, 547, 11126, 12555, 16131, 267, 4180, 602, 1216, 568, 1152, 1031, 950, 543, 1141, 621, 568, 2877, 269, 1635, 4227, 1216, 729, 5653, 998, 21381, 543, 20359, 267, 5100, 12555, 1949, 948, 18359, 1216, 2200, 1247, 4509, 2635, 8916, 543, 7031, 563, 5327, 531, 1588, 267, 593, 519, 824, 1688, 267, 3091, 513, 1259, 547, 7148, 883, 513, 12303, 19957, 2707, 540, 1216, 281, 519, 5836, 269, 901, 1184, 3322, 9427, 6070, 543, 824, 23606, 689, 26869, 547, 1118, 621, 5078, 585, 6704, 267, 6683, 267, 543, 4853, 946, 269, 2755, 964, 531, 1588, 814, 12926, 1044, 1648, 25673, 543, 7199, 267, 7760, 538, 2029, 723, 1500, 621, 811, 3608, 543, 10097, 267, 6679, 909, 1007, 7399, 585, 1216, 3761, 538, 25545, 4525, 563, 347, 15650, 540, 4826, 11094, 16370, 1475, 14611, 17972, 2008, 347, 27319, 7054, 3419, 566, 7010, 1475, 1700, 22982, 8596, 543, 4365, 1239, 454, 1700, 8838, 4476, 12555, 16131, 454, 1700, 21079, 1216, 729, 5653, 454, 1700, 19321, 2635, 8916, 543, 7031, 454, 347, 5327, 531, 1588, 1475, 1700, 17179, 6070, 543, 23606, 689, 26869, 454, 1700, 8073, 15195, 585, 1585, 3096, 454, 1700, 5890, 21505, 7399, 585, 1216, 3761, 538, 25545, 4525, 454, 12850, 5726, 4066, 267, 971, 607, 5100, 12555, 1949, 543, 964, 531, 1588, 267, 616, 4730, 513, 2629, 1909, 538, 5466, 519, 2810, 8833, 593, 1216, 2200, 269, 4256, 10073, 711, 1152, 2337, 2327, 513, 5812, 1216, 3761, 585, 1585, 2115, 855, 849, 8309, 547, 519, 2949, 6940, 540, 938, 4541, 563, 1103, 3932, 267, 1216, 5726, 4066, 616, 4105, 2645, 538, 938, 1391, 585, 513, 4264, 2104, 269, 1635, 14139, 5100, 12555, 1949, 543, 19713, 519, 1761, 540, 964, 531, 1588, 267, 649, 666, 11694, 519, 4398, 540, 1216, 6165, 267, 7413, 3653, 267, 543, 5150, 1216, 1569, 585, 2104, 5481, 269, 898, 568, 1898, 585, 2043, 267, 2950, 267, 543, 6608, 547, 9784, 891, 10124, 543, 960, 2509, 3743, 1216, 2359, 2853, 563, 3849, 9330, 906, 538, 661, 2914, 4292, 27822, 9828, 454, 16676, 6681, 7760, 538, 552, 2914, 4292, 9657, 2553, 616, 5355, 519, 4398, 543, 7145, 540, 5907, 3653, 12871, 267, 4227, 2825, 2800, 269, 1452, 5499, 2553, 616, 30507, 519, 1259, 649, 6023, 5907, 3653, 267, 4180, 602, 3407, 2200, 616, 16626, 543, 5739, 6878, 616, 5265, 7307, 543, 26356, 540, 563, 3080, 971, 13120, 568, 519, 946, 540, 12747, 3157, 538, 24905, 1782, 543, 18570, 5907, 3653, 3334, 269, 901, 2029, 2636, 585, 5488, 543, 811, 4977, 9668, 540, 2326, 267, 21924, 519, 6051, 540, 3407, 8407, 899, 4154, 267, 8988, 267, 543, 7601, 269, 898, 849, 5849, 602, 13818, 6878, 971, 607, 1291, 267, 16035, 267, 543, 18723, 29472, 1218, 616, 9108, 13939, 543, 26356, 540, 267, 10893, 741, 1764, 593, 519, 1604, 543, 1480, 1072, 563, 12234, 267, 519, 1646, 540, 811, 3608, 9657, 2409, 814, 3366, 547, 519, 5137, 540, 7463, 6703, 602, 666, 6023, 1114, 2010, 540, 5907, 3653, 269, 1280, 1383, 267, 930, 6703, 723, 519, 12588, 547, 22120, 1950, 5907, 3457, 899, 16389, 267, 24195, 267, 543, 14342, 267, 1247, 1866, 1445, 593, 3677, 3688, 971, 607, 751, 4582, 2888, 543, 14023, 2209, 269, 901, 29286, 2636, 585, 20979, 9657, 3157, 3358, 547, 519, 1808, 4170, 540, 1142, 1826, 540, 5907, 3653, 267, 4611, 538, 2362, 9657, 3928, 543, 4389, 25087, 3653, 563, 4467, 3966, 625, 899, 476, 275, 5682, 14136, 808, 6064, 31203, 616, 693, 519, 21282, 540, 891, 7760, 269, 1358, 20647, 538, 552, 2914, 4292, 9657, 543, 1683, 3102, 2533, 547, 19100, 26565, 540, 2025, 11418, 269, 1635, 24574, 1359, 609, 18019, 3549, 899, 476, 275, 5682, 14136, 808, 6064, 31203, 267, 2043, 543, 3906, 666, 2327, 602, 741, 5907, 3653, 568, 17411, 538, 606, 13476, 6857, 6073, 267, 7700, 547, 519, 11091, 540, 938, 4541, 563, 347, 3849, 9330, 906, 538, 661, 2914, 4292, 27822, 9828, 1475, 19119, 2008, 347, 8505, 558, 730, 24905, 1782, 543, 18570, 3157, 1475, 1700, 674, 2120, 543, 811, 4977, 9668, 540, 2326, 454, 1700, 7665, 574, 3278, 6051, 540, 3407, 8407, 454, 1700, 15822, 569, 21555, 543, 771, 5099, 540, 13818, 6878, 454, 16085, 2133, 1242, 9657, 6703, 1475, 1700, 29114, 1819, 9657, 3157, 585, 1114, 2010, 540, 5907, 3653, 454, 1700, 14451, 9657, 3928, 543, 4389, 25087, 3653, 454, 16676, 6681, 7760, 538, 552, 2914, 4292, 9657, 2553, 616, 5355, 519, 4398, 543, 7145, 540, 5907, 3653, 12871, 267, 4227, 2825, 2800, 563, 275, 5682, 14136, 808, 6064, 31203, 281, 31327, 519, 10158, 454, 275, 5682, 14136, 808, 6064, 31203, 568, 513, 18019, 552, 2914, 4292, 9657, 2754, 602, 568, 6131, 547, 5009, 3743, 5907, 3653, 12871, 269, 1358, 2709, 3102, 2533, 547, 2043, 267, 4213, 267, 543, 3906, 267, 4180, 602, 2025, 5907, 3457, 616, 13381, 538, 606, 13476, 6857, 6073, 563, 4415, 513, 7029, 547, 4264, 2853, 267, 476, 275, 5682, 14136, 808, 6064 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 25200, 281, 27285, 20540, 281, 27286, 1607, 1449, 5161, 540, 476, 276, 2110, 2626, 2055, 267, 476, 1015, 2110, 1557, 2055, 267, 543, 476, 272, 630, 1993, 476, 274, 264, 1557, 3584, 563, 14112, 8382, 5999, 454, 272, 269, 1548, 568, 593, 519, 22917, 680, 7660, 781, 4541, 888, 273, 269, 2991, 21945, 593, 519, 3618, 543, 5870, 1010, 1101, 3618, 13442, 267, 1018, 1281, 519, 2370, 19036, 798, 888, 274, 269, 1548, 3280, 1281, 519, 1134, 538, 519, 9390, 1118, 888, 275, 269, 634, 11052, 540, 1216, 568, 1031, 538, 834, 763, 9741, 13584, 257, 547, 2099, 519, 1272, 3766, 1516, 3196, 267, 2436, 621, 568, 2168, 610, 5289, 269, 1548, 1287, 1281, 713, 19818, 6709, 523, 4221, 10788, 2099, 888, 276, 269, 6904, 1281, 519, 15669, 2161, 972, 616, 811, 540, 593, 3618, 267, 2520, 20802, 610, 10703, 1243, 2367, 888, 14112, 4828, 5999, 454, 272, 269, 4208, 568, 519, 2370, 19036, 7753, 609, 18354, 607, 646, 6763, 538, 519, 13675, 547, 519, 6264, 9782, 4677, 888, 273, 269, 1548, 568, 519, 3017, 1063, 519, 2937, 543, 1126, 267, 519, 12681, 543, 2370, 19036, 267, 538, 2474, 540, 741, 5114, 547, 519, 11344, 13131, 888, 274, 269, 634, 2370, 19036, 814, 4121, 602, 1018, 568, 1898, 568, 15865, 269, 1215, 1281, 646, 4019, 713, 547, 519, 14834, 6429, 540, 14884, 678, 5241, 713, 1259, 543, 602, 888, 275, 269, 1548, 568, 9670, 827, 519, 1134, 888, 276, 269, 1306, 519, 2370, 19036, 8188, 1010, 13393, 609, 519, 13131, 267, 1018, 568, 646, 4743, 888, 277, 269, 1548, 3947, 519, 9390, 922, 31393, 540, 5070, 26124, 538, 519, 7599, 2775, 910, 922, 5898, 888, 278, 269, 1879, 519, 1439, 568, 2282, 267, 519, 12681, 814, 1100, 811, 1216, 547, 4235, 543, 519, 2370, 19036, 814, 1336, 1018, 646, 729, 3168, 585, 267, 513, 7415, 3364, 4523, 269, 1548, 568, 1114, 827, 519, 3406, 585, 519, 1134, 286, 1548, 4523, 593, 713, 3942, 540, 519, 3460, 602, 568, 1007, 888, 279, 269, 634, 6467, 2006, 568, 513, 1268, 4171, 3527, 798, 723, 4539, 269, 769, 602, 1259, 646, 568, 1114, 689, 519, 824, 2937, 18840, 18196, 269, 1215, 568, 646, 2147, 888, 280, 269, 1215, 1281, 519, 6521, 540, 8226, 2097, 547, 12032, 538, 519, 2078, 1063, 519, 16541, 543, 519, 2370, 19036, 888, 1015, 269, 2991, 9683, 519, 3670, 30563, 267, 519, 2370, 19036, 814, 4121, 1082, 1919, 269, 769, 1010, 2063, 3643, 646, 4667, 547, 723, 26845, 602, 646, 814, 2451, 1010, 3134, 31906, 531, 8768, 782, 4805, 269, 4208, 3085, 1405, 646, 2132, 286, 4208, 1281, 646, 3136, 1010, 3460, 888, 2237, 606, 1557, 585, 21450, 540, 519, 1739, 3584, 912, 13625, 13445, 476, 272, 454, 8005, 568, 519, 16502, 538, 519, 1650, 286, 3503, 606, 1557, 593, 875, 519, 16502, 2242, 607, 519, 1650, 22264, 269, 10410, 1518, 1896, 10593, 540, 8226, 799, 713, 1915, 4422, 998, 563, 13625, 13445, 476, 273, 454, 288, 2101, 6249, 540, 713, 1433, 568, 11505, 269, 634, 16541, 3096, 519, 2165, 834, 339, 877, 257, 547, 4766, 1373, 13615, 547, 1776, 1268, 610, 13442, 269, 1548, 568, 519, 1184, 540, 512, 5446, 543, 875, 568, 713, 6249, 18955, 998, 519, 1433, 888, 13625, 13445, 476, 274, 454, 763, 2278, 540, 634, 9741, 10988, 257, 1312, 5206, 519, 1913, 543, 11609, 519, 1433, 269, 3571, 12383, 616, 1360, 1126, 3697, 563, 272, 264, 4208, 568, 713, 1271, 286, 4208, 4769, 1405, 646, 1205, 2576, 547, 9414, 519, 1433, 609, 2681, 11147, 267, 12125, 543, 7851, 888, 273, 264, 1548, 1198, 798, 891, 2241, 12400, 723, 593, 519, 5467, 888, 1607, 3296, 3568, 476, 272, 267, 1708, 1913, 454, 26140, 269, 476, 276, 3817, 693, 476, 4968, 1913, 829, 2985, 264, 0, 25200, 281, 27285, 20540, 281, 27286, 1607, 1449, 5161, 540, 476, 276, 2110, 2626, 2055, 267, 476, 1015, 2110, 1557, 2055, 267, 543, 476, 272, 630, 1993, 476, 274, 264, 1557, 3584, 563, 14112, 8382, 5999, 454, 272, 269, 1548, 5636, 664, 781, 30270, 1281, 711, 5635, 547, 1684, 1682, 1485, 781, 267, 2687, 547, 8111, 2006, 538, 3848, 476, 276, 888, 273, 269, 1548, 1271, 6602, 1281, 8111, 2006, 1118, 827, 1684, 1682, 1485, 1247, 32626, 1864, 538, 519, 2011, 538, 519, 4098, 540, 3848, 476, 275, 888, 274, 269, 1306, 5018, 538, 3848, 476, 277, 267, 875, 1082, 5195, 1281, 1684, 1682, 1485, 3382, 609, 835, 540, 1010, 682, 2355, 888, 275, 269, 1548, 1281, 681, 755, 344, 2161, 646, 568, 2469, 547, 991, 607, 646, 15211, 3544, 547, 1294, 1684, 1682, 1485, 23601, 513, 7128, 1286, 888, 276, 269, 1548, 4523, 547, 8111, 2006, 17303, 950, 1684, 1682, 1485, 737, 6506, 1864, 538, 4571, 25101, 538, 3848, 476, 277, 888, 14112, 4828, 5999, 454, 272, 269, 1548, 568, 519, 3017, 538, 519, 1259, 8111, 2006, 781, 3993, 543, 4651, 616, 13156, 519, 3527, 540, 519, 1065, 13024, 8720, 519, 6370, 538, 5450, 24227, 888, 273, 269, 1215, 1281, 1684, 1682, 1485, 2119, 547, 2061, 8111, 2006, 689, 9494, 631, 3558, 781, 1920, 888, 274, 269, 1215, 1281, 8111, 2006, 6467, 1010, 4640, 1996, 1684, 1682, 1485, 693, 26335, 888, 275, 269, 4208, 568, 10753, 529, 3168, 585, 13343, 3240, 538, 3848, 476, 275, 286, 7316, 1281, 1352, 1265, 1864, 888, 276, 269, 1548, 568, 8111, 326, 20071, 781, 3355, 3210, 547, 7487, 8111, 2006, 781, 4339, 1996, 1684, 1682, 1485, 888, 277, 269, 1548, 1344, 1281, 14878, 321, 850, 343, 20794, 547, 26851, 1310, 646, 512, 2355, 883, 1684, 1682, 1485, 781, 2247, 888, 278, 269, 1215, 1281, 26851, 1265, 856, 827, 513, 2009, 3069, 540, 1141, 1684, 1682, 1485, 3357, 689, 888, 279, 269, 2991, 8111, 2006, 7024, 543, 17990, 631, 3558, 781, 1920, 267, 1018, 1281, 24053, 8493, 1676, 2995, 1864, 888, 280, 269, 1548, 5114, 1281, 8111, 2006, 723, 950, 646, 5515, 856, 602, 1684, 1682, 1485, 568, 16144, 585, 5450, 24227, 888, 1015, 269, 1548, 3123, 519, 16411, 693, 519, 1439, 540, 3848, 476, 275, 267, 20872, 8111, 2006, 547, 1118, 1776, 1271, 3375, 888, 2237, 606, 1557, 585, 21450, 540, 519, 1739, 3584, 912, 13625, 13445, 476, 272, 454, 27855, 538, 1469, 519, 3803, 6370, 1063, 8111, 2006, 543, 1684, 1682, 1485, 538, 5450, 24227, 267, 875, 8111, 2006, 781, 6043, 568, 10268, 267, 519, 3441, 602, 519, 2749, 679, 706, 637, 267, 519, 13546, 977, 4369, 540, 519, 3544, 948, 602, 8111, 2006, 11392, 267, 875, 8111, 2006, 25395, 1018, 666, 10413, 1684, 1682, 1485, 267, 543, 519, 5114, 540, 8111, 2006, 781, 29287, 4339, 676, 10753, 529, 543, 13343, 3240, 267, 607, 1134, 607, 22189, 543, 26795, 13573, 269, 4746, 267, 1331, 606, 2079, 540, 8111, 2006, 781, 14820, 543, 875, 621, 2242, 1282, 519, 6370, 267, 2059, 609, 10753, 529, 262, 12576, 547, 1864, 540, 519, 3017, 1063, 1864, 543, 1684, 1682, 1485, 563, 13625, 13445, 476, 273, 454, 2750, 8533, 519, 4401, 545, 3510, 602, 631, 3558, 568, 538, 950, 1010, 3993, 543, 11078, 616, 16290, 538, 513, 3595, 267, 875, 1010, 6644, 827, 8111, 2006, 2242, 267, 543, 2436, 610, 711, 646, 814, 513, 1007, 7071, 585, 8111, 2006, 781, 24123, 7907, 269, 3417, 606, 2079, 540, 519, 3375, 602, 8111, 2006, 2306, 538, 13059, 547, 4688, 631, 3558, 781, 1920, 267, 1946, 621, 568, 513, 2352, 3903, 267, 543, 519, 4539, 646, 15109, 1247, 1818, 621, 563, 13625, 13445, 476, 274, 454, 22860, 2763, 8111, 2006, 781, 7778, 540, 519, 13766, 540, 5208, 267, 875, 621, 1031, 267, 543, 519, 6859, 540, 27568, 950, 1210, 621, 269, 769, 1840, 267, 1865, 519, 12194, 602, 8111, 2006, 814, 267, 519, 4128, 3297, 873, 267, 543, 1331, 1806, 540, 875, 1346, 12194, 616, 6719, 538, 519, 3209, 563, 1607, 3296, 3568, 476, 280, 5325, 1913, 454, 26140, 269, 476, 275, 3817, 693, 476, 4968, 1913, 829, 2985, 264, 0, 3849, 18690, 630, 3849, 14620, 10118, 264, 2995, 721, 811, 827, 513, 8231, 552, 3052, 634, 7911, 10443, 3533, 563, 3849, 18690, 12189, 610, 20618, 13450, 267, 16460, 2055, 540, 875, 267, 950, 267, 1141, 267, 1946, 543, 875, 1419, 630, 325, 15968, 264, 552, 3052, 962, 16518, 267, 519, 7911, 10443, 1753, 3533, 689, 1153, 267, 1317, 621, 729, 1010, 544, 636, 779, 14512, 563, 15650, 540, 1520, 14620, 454, 2304, 30163, 568, 513, 22212, 851, 540, 4633, 269, 898, 6257, 13450, 267, 824, 740, 18690, 267, 21371, 267, 543, 2453, 269, 1358, 616, 1031, 547, 4766, 875, 267, 1141, 267, 950, 267, 875, 1419, 543, 1946, 1945, 4523, 563, 3849, 18690, 540, 6073, 4766, 875, 1945, 4523, 269, 2368, 4122, 1031, 740, 18690, 540, 6073, 1331, 912, 13706, 519, 1739, 1383, 912, 9515, 4956, 547, 2328, 1200, 1957, 269, 630, 7224, 740, 18690, 994, 9515, 3533, 4956, 547, 2328, 1200, 1957, 269, 630, 615, 3375, 729, 2656, 994, 9515, 4956, 547, 2328, 1200, 1957, 3533, 269, 630, 615, 1603, 729, 2656, 994, 8489, 972, 616, 1079, 610, 811, 13450, 538, 513, 4845, 267, 30163, 13307, 5540, 519, 2495, 563, 3849, 18690, 540, 1747, 4766, 1141, 1945, 4523, 269, 2368, 4122, 1031, 1806, 1331, 519, 1739, 912, 296, 4941, 547, 979, 909, 560, 4202, 563, 9515, 814, 5030, 538, 519, 2749, 2094, 4873, 269, 630, 514, 519, 2749, 840, 6570, 531, 8360, 994, 7197, 740, 18690, 540, 1747, 616, 849, 1031, 607, 840, 21752, 563, 3849, 18690, 540, 3483, 4766, 1946, 1945, 4523, 269, 3371, 616, 930, 1455, 1806, 912, 514, 1931, 547, 454, 297, 10154, 15211, 5402, 547, 2057, 9991, 563, 7692, 18417, 13264, 519, 642, 848, 563, 3849, 18690, 540, 4908, 4766, 875, 1419, 1945, 4523, 269, 634, 1739, 740, 18690, 616, 4122, 1031, 538, 713, 1259, 912, 300, 871, 20044, 773, 4991, 513, 11878, 689, 1200, 7015, 1169, 1554, 563, 763, 3165, 2356, 7669, 338, 2282, 519, 1283, 540, 922, 7382, 563, 3849, 18690, 540, 942, 4766, 950, 1945, 4523, 269, 1452, 1806, 616, 4122, 1031, 912, 3849, 18690, 540, 7388, 28467, 454, 1692, 1520, 18690, 3657, 4813, 539, 454, 272, 269, 769, 1034, 2665, 267, 606, 30163, 568, 4646, 676, 4946, 2048, 268, 569, 685, 547, 606, 18781, 912, 268, 5384, 4422, 3533, 563, 268, 1261, 15336, 7444, 547, 519, 7450, 563, 268, 2701, 6157, 1185, 606, 4277, 1272, 563, 268, 1261, 5402, 13603, 909, 519, 12008, 1126, 563, 2252, 519, 18781, 7475, 538, 2048, 268, 344, 8730, 5372, 519, 2048, 344, 685, 609, 2048, 328, 685, 543, 1039, 2048, 268, 569, 685, 912, 2252, 519, 18781, 7475, 538, 1107, 8072, 762, 8730, 2048, 268, 1043, 8730, 610, 2048, 268, 548, 8730, 5372, 519, 2048, 268, 324, 685, 609, 2048, 268, 344, 685, 912, 2252, 519, 18781, 7475, 538, 2048, 268, 545, 8730, 1039, 2048, 268, 958, 685, 912, 2750, 4003, 281, 1857, 1107, 15597, 454, 273, 269, 2368, 740, 18690, 723, 519, 1482, 1106, 607, 519, 18781, 912, 347, 3849, 11187, 543, 1520, 14620, 2008, 274, 269, 2048, 11039, 8072, 543, 2048, 16591, 8072, 454, 8072, 11039, 685, 568, 519, 30163, 602, 14687, 547, 519, 18781, 2048, 16591, 17483, 9827, 1294, 281, 26440, 4181, 540, 18948, 0, 308, 2529, 269, 5917, 20814, 5664, 5101, 22640, 454, 26296, 4690, 543, 4914, 3609, 454, 5278, 13915, 8044, 602, 3013, 285, 338, 3609, 540, 14957, 9111, 949, 581, 23696, 543, 1256, 4831, 335, 8793, 269, 6723, 654, 269, 17312, 285, 338, 8942, 547, 946, 9111, 607, 606, 6293, 1996, 18483, 941, 19408, 543, 5906, 282, 25412, 9111, 689, 15072, 729, 796, 3772, 267, 543, 4769, 285, 339, 960, 563, 763, 17312, 7245, 729, 8185, 3238, 538, 1603, 12925, 285, 338, 3282, 1876, 799, 786, 1450, 5375, 3282, 3549, 547, 6802, 3282, 856, 540, 12925, 909, 547, 476, 1789, 1296, 1510, 9878, 3454, 593, 741, 12434, 269, 6787, 12592, 676, 3282, 610, 711, 267, 772, 2529, 269, 4914, 3609, 7902, 547, 1454, 540, 519, 1158, 547, 723, 1044, 12592, 676, 3282, 563, 28347, 17312, 814, 1044, 22309, 585, 10714, 532, 9111, 543, 1480, 2924, 543, 2519, 14311, 593, 519, 4339, 1996, 18483, 269, 634, 2475, 814, 1044, 22309, 585, 16957, 26956, 6057, 693, 2871, 656, 5451, 5864, 334, 7345, 267, 12925, 267, 543, 585, 5728, 31835, 30813, 538, 9456, 2342, 269, 769, 3210, 267, 519, 2475, 2229, 10645, 891, 13685, 540, 6057, 941, 9678, 543, 1705, 711, 2992, 772, 2529, 269, 3609, 563, 5278, 4892, 3494, 602, 741, 2197, 779, 5539, 568, 3908, 547 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 21463, 538, 519, 8193, 5311, 267, 3056, 547, 9168, 610, 1875, 10818, 531, 5946, 4470, 593, 519, 6708, 543, 2990, 540, 519, 17332, 610, 25216, 10126, 269, 1403, 519, 4299, 3148, 3568, 703, 3055, 2609, 15725, 521, 2364, 532, 267, 3677, 7696, 687, 610, 25533, 687, 1223, 15936, 609, 1697, 4393, 540, 24888, 544, 23978, 780, 2971, 26537, 23865, 2806, 7538, 885, 692, 2419, 668, 23865, 17244, 4125, 7293, 610, 10230, 7648, 538, 15694, 1297, 610, 5888, 269, 23305, 32623, 5928, 1331, 6037, 23148, 630, 1410, 4219, 540, 12415, 1063, 1875, 327, 558, 27881, 15954, 1070, 538, 951, 687, 630, 4148, 6235, 10066, 540, 513, 9606, 10095, 23650, 1070, 543, 5918, 4124, 630, 19817, 3539, 3063, 5027, 13980, 1040, 31592, 22114, 2039, 689, 606, 15710, 30666, 344, 630, 629, 7538, 2338, 540, 1367, 15954, 264, 547, 4874, 30666, 344, 630, 3369, 1961, 5036, 540, 15954, 16611, 3564, 3339, 9733, 1355, 4567, 1040, 3502, 1168, 2180, 1176, 267, 959, 529, 3912, 476, 2641, 4929, 13560, 6794, 4564, 519, 1034, 7928, 1313, 23865, 606, 15710, 30666, 344, 538, 3425, 780, 2162, 31469, 540, 23688, 10402, 8412, 692, 26452, 3157, 3565, 547, 519, 5250, 540, 13592, 269, 1358, 666, 10836, 26742, 611, 1227, 998, 9073, 1282, 5027, 18643, 267, 610, 789, 666, 581, 13251, 676, 5007, 8069, 1634, 607, 4573, 698, 839, 269, 6206, 6127, 3238, 538, 10451, 13592, 616, 4330, 2630, 780, 2971, 8210, 5558, 4438, 1234, 6473, 692, 28053, 983, 12227, 3743, 585, 5027, 18643, 12212, 2306, 9073, 1247, 25718, 10959, 22204, 267, 3226, 693, 4525, 12155, 547, 16132, 971, 607, 16625, 9696, 267, 31442, 520, 749, 2572, 267, 610, 3810, 1098, 8282, 2127, 269, 19577, 15105, 2238, 5645, 856, 676, 12249, 1162, 3622, 6439, 1518, 1034, 6959, 1354, 23312, 2417, 2059, 519, 22308, 30580, 269, 11048, 267, 17573, 31868, 720, 1522, 9101, 7020, 267, 28285, 538, 8628, 13592, 1310, 7766, 21448, 540, 1591, 6498, 780, 2971, 7025, 6184, 6699, 692, 26807, 2825, 2188, 2333, 519, 10171, 540, 13592, 16109, 269, 594, 517, 1944, 2234, 9911, 630, 24472, 12345, 267, 2473, 17530, 1070, 22292, 1769, 267, 543, 3114, 7135, 1336, 538, 10269, 8673, 267, 4853, 14107, 267, 610, 1426, 29089, 2510, 2099, 14984, 4573, 698, 839, 5827, 540, 1802, 1424, 5027, 3441, 2047, 610, 18549, 3842, 1863, 9097, 2504, 269, 28088, 14688, 267, 2281, 1590, 4497, 10427, 7816, 11444, 547, 11177, 11646, 8699, 267, 2943, 13385, 6114, 2285, 4473, 547, 6378, 13592, 780, 2971, 2885, 1467, 12411, 639, 590, 11703, 631, 20706, 692, 10521, 3376, 6688, 10646, 13592, 2687, 547, 741, 10408, 31338, 910, 10351, 1467, 543, 30717, 269, 2885, 1467, 13592, 21078, 538, 13708, 26347, 630, 1122, 7714, 610, 521, 704, 916, 264, 543, 3976, 10141, 646, 13072, 3320, 2066, 5481, 269, 1635, 4334, 267, 30717, 13592, 8915, 14311, 538, 1560, 8031, 6508, 689, 5378, 5328, 15523, 2022, 1922, 1068, 16478, 269, 4475, 267, 30717, 13592, 3112, 1780, 5196, 15556, 855, 3079, 3565, 547, 5160, 4763, 267, 10172, 267, 610, 683, 31129, 7004, 4470, 593, 741, 10335, 543, 2796, 780, 2162, 23398, 8177, 540, 631, 20706, 692, 27039, 2390, 519, 2470, 267, 4087, 267, 543, 4336, 540, 519, 12381, 5189, 267, 13592, 29360, 3309, 4093, 3823, 5444, 4082, 267, 3940, 10282, 267, 543, 2949, 11248, 8516, 780, 2971, 3026, 25806, 631, 20706, 692, 10468, 25806, 13592, 1711, 7357, 3209, 3601, 20775, 547, 3312, 5444, 1599, 4433, 1040, 6270, 19260, 4749, 896, 12340, 8789, 632, 18051, 334, 4713, 6353, 676, 3982, 4791, 2934, 11651, 3101, 3648, 689, 1346, 4767, 538, 3552, 15178, 2043, 780, 2971, 13809, 6361, 6363, 4233, 631, 20706, 692, 299, 1601, 6361, 1922, 4233, 13592, 9004, 610, 10556, 5444, 2472, 262, 2702, 547, 1685, 5497, 4247, 269, 1879, 1312, 27586, 4163, 12424, 633, 2530, 6361, 1922, 4233, 13592, 267, 14275, 714, 17789, 13920, 1671, 1132, 267, 3056, 547, 2347, 9000, 540, 5444, 1587, 4082, 269, 17968, 267, 688, 680, 334, 1231, 340, 11797, 2164, 689, 10636, 27340, 748, 19057, 12946, 1152, 835, 6198, 27446, 267, 11589, 21022, 5666, 540, 5444, 2472, 3448, 547, 6093, 2175, 269, 5637, 7653, 10460, 4220, 585, 3384, 21780, 27318, 4713, 2404, 609, 4389, 18262, 610, 19847, 10342, 540, 26582, 6090, 780, 2971, 28150, 6361, 6363, 4233, 631, 20706, 692, 3519, 14287, 267, 2744, 6361, 1922, 4233, 13592, 3986, 5444, 2472, 262, 4390, 547, 14892, 3606, 11645, 16310, 5065, 5107, 269, 10705, 5532, 547, 8789, 569, 15110, 7592, 267, 891, 12381, 32433, 3413, 21719, 6675, 262, 6617, 267, 29512, 4398, 267, 14041, 11006, 267, 610, 5872, 5121, 267, 6038, 6117, 8476, 15202, 22107, 3547, 24254, 16765, 4307, 28437, 24017, 780, 2971, 3525, 8595, 12186, 692, 15563, 267, 13592, 11992, 1369, 519, 11646, 267, 5219, 547, 607, 1110, 13294, 267, 666, 12189, 4082, 3270, 610, 11579, 8896, 3928, 540, 7620, 1757, 894, 15087, 269, 4935, 267, 9583, 22480, 26340, 3359, 11397, 689, 23633, 28326, 26105, 949, 11851, 7096, 5222, 593, 4307, 28437, 6881, 267, 17021, 1950, 18472, 3270, 4101, 547, 21264, 1510, 9488, 1620, 540, 5817, 7636, 1696, 328, 3098, 780, 1103, 5758, 267, 13592, 13822, 1713, 10256, 540, 9265, 543, 9542, 269, 16480, 267, 32277, 28922, 3283, 7703, 8101, 6286, 585, 1480, 8171, 267, 26089, 11826, 13753, 6322, 693, 5587, 4328, 15817, 8129, 267, 18640, 6384, 267, 543, 6211, 29298, 269, 0, 2237, 513, 3102, 543, 538, 3829, 1837, 593, 1412, 2304, 10532, 543, 25665, 476, 273, 324, 3299, 3358, 585, 2852, 1053, 563, 2171, 616, 1603, 593, 3184, 1412, 14549, 4886, 543, 519, 8033, 8462, 540, 5020, 8339, 769, 1880, 267, 3296, 1412, 303, 16993, 540, 769, 615, 13330, 1412, 540, 1412, 14946, 618, 543, 769, 615, 13330, 262, 851, 269, 1284, 723, 2907, 4988, 519, 1739, 4559, 538, 713, 3296, 281, 1412, 8448, 769, 615, 13330, 18963, 281, 769, 14814, 18067, 766, 267, 26467, 7631, 766, 267, 543, 700, 996, 531, 1325, 548, 956, 3299, 1412, 8505, 23865, 1234, 947, 633, 769, 615, 13330, 3299, 1412, 8448, 769, 615, 13330, 18963, 281, 769, 14814, 18067, 766, 267, 26467, 7631, 766, 267, 543, 700, 996, 531, 1325, 548, 956, 3299, 1412, 8505, 23865, 667, 11395, 769, 615, 13330, 8339, 3503, 513, 1007, 1770, 11331, 1412, 300, 20706, 8339, 3371, 781, 930, 1257, 585, 6667, 281, 589, 15817, 568, 513, 1689, 538, 519, 5311, 540, 5027, 22951, 1938, 602, 949, 610, 949, 711, 1860, 513, 1268, 779, 26737, 269, 631, 20706, 666, 8451, 31380, 689, 6959, 1282, 5027, 18643, 267, 610, 789, 666, 1267, 689, 2825, 1202, 6699, 971, 607, 5982, 267, 1978, 8290, 267, 610, 4598, 547, 10269, 8673, 610, 824, 6757, 6464, 269, 5221, 6090, 31391, 585, 519, 10198, 540, 5946, 267, 513, 15817, 538, 519, 30859, 5311, 540, 513, 5444, 666, 1689, 11254, 3679, 5311, 543, 267, 18867, 267, 513, 3940, 779, 2497, 543, 1599, 269, 1975, 2632, 10389, 13592, 9648, 1282, 32450, 616, 2219, 547, 2272, 585, 1082, 21245, 705, 25344, 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, 3848, 476, 279, 281, 6468, 538, 9147, 6406, 3074, 692, 7072, 912, 5970, 596, 2479, 9289, 827, 519, 1909, 540, 2021, 538, 3504, 7239, 286, 1215, 941, 789, 2938, 267, 5701, 267, 543, 15422, 2429, 1686, 286, 1306, 649, 4685, 883, 938, 3408, 540, 1585, 12977, 1472, 519, 1158, 267, 1577, 781, 1445, 593, 875, 2021, 8329, 547, 891, 2038, 4529, 543, 1018, 2186, 540, 1764, 789, 1185, 593, 741, 2950, 269, 1284, 786, 1413, 693, 930, 4241, 2984, 540, 9565, 2021, 2066, 942, 543, 11585, 1247, 1565, 811, 827, 1480, 1686, 780, 4089, 594, 281, 6468, 538, 9147, 9919, 14125, 630, 306, 686, 20092, 2020, 26123, 9919, 14125, 267, 1631, 1634, 607, 16444, 20092, 267, 814, 513, 3638, 543, 1950, 1686, 6580, 1394, 936, 1079, 8536, 2947, 4627, 1296, 269, 901, 4190, 6532, 4182, 6013, 22703, 540, 3127, 543, 19646, 10875, 8916, 4904, 609, 18932, 3039, 7733, 267, 22501, 5032, 6050, 267, 543, 23836, 10239, 269, 10801, 922, 1279, 1686, 267, 1082, 7415, 2021, 7153, 607, 3401, 267, 7855, 267, 5159, 267, 543, 5289, 5515, 5935, 519, 1360, 5958, 540, 2486, 780, 3080, 971, 4807, 729, 10348, 1323, 3121, 8061, 328, 267, 945, 12199, 1282, 519, 1101, 2540, 14514, 269, 2701, 2968, 835, 540, 519, 1906, 4775, 16313, 338, 538, 6592, 1686, 950, 1352, 10841, 2105, 519, 17599, 1310, 1200, 9393, 781, 2669, 269, 4173, 12081, 6825, 513, 7432, 1448, 538, 519, 3045, 1023, 540, 16444, 700, 1678, 534, 28370, 267, 15386, 602, 2021, 1223, 8197, 1291, 6082, 1175, 607, 1698, 2406, 607, 2367, 780, 1103, 1840, 547, 3532, 30842, 267, 972, 941, 849, 9118, 824, 8723, 2021, 4171, 2729, 2611, 7361, 3768, 29545, 855, 616, 1869, 17709, 540, 6284, 269, 26478, 267, 18318, 267, 29048, 267, 12115, 619, 267, 543, 5640, 782, 5129, 1898, 5107, 538, 4509, 10103, 1369, 741, 3885, 543, 2950, 269, 1452, 5667, 2426, 5869, 1149, 5249, 7258, 2367, 267, 7700, 3648, 2509, 2679, 25133, 17260, 543, 8497, 2085, 6040, 5389, 780, 14300, 899, 891, 6542, 602, 4352, 4008, 8155, 9867, 4922, 1063, 1114, 3504, 12977, 267, 2021, 9846, 9863, 2933, 5827, 540, 1818, 8101, 7418, 5103, 1022, 9465, 5116, 1354, 873, 780, 263, 9616, 281, 5664, 1153, 1053, 1522, 5660, 6217, 827, 1808, 3344, 540, 3232, 1272, 585, 891, 3504, 2021, 267, 971, 607, 1426, 7041, 2409, 267, 7802, 6163, 267, 610, 16837, 2238, 24355, 4089, 4083, 281, 6468, 538, 808, 2459, 340, 1299, 22758, 692, 299, 11343, 538, 7187, 2865, 3127, 267, 536, 23912, 676, 9031, 543, 3624, 267, 9114, 519, 28677, 4525, 540, 808, 2459, 340, 1299, 22758, 269, 25587, 585, 741, 18198, 2067, 5898, 267, 891, 3338, 3180, 2620, 3140, 4644, 1813, 547, 5553, 540, 4914, 32042, 543, 2797, 1193, 1057, 269, 27933, 560, 713, 24360, 2250, 267, 1896, 9058, 2021, 9782, 1657, 14488, 267, 6028, 9434, 23543, 31960, 538, 6237, 3965, 780, 16449, 891, 13009, 4565, 5074, 8951, 568, 26527, 8643, 808, 785, 918, 4768, 267, 945, 6039, 607, 519, 15596, 1036, 550, 540, 23570, 1282, 519, 4571, 268, 866, 628, 2540, 269, 2991, 1200, 9393, 781, 2150, 830, 569, 27757, 267, 1352, 10924, 1852, 936, 1533, 12602, 2394, 1200, 5067, 6603, 15657, 269, 6736, 3875, 2591, 15054, 676, 20935, 3703, 4229, 267, 1352, 18979, 569, 29846, 1200, 1004, 781, 2924, 543, 4690, 267, 15980, 9887, 519, 28215, 834, 1492, 11619, 531, 2088, 540, 519, 23570, 3010, 20118, 267, 1776, 11121, 4137, 688, 2812, 689, 4207, 2053, 910, 5689, 8403, 962, 748, 2378, 345, 2967, 269, 4014, 4535, 538, 15231, 4210, 520, 9503, 267, 799, 8813, 896, 9031, 328, 16278, 267, 5689, 8403, 6591, 2518, 21239, 1739, 1200, 14223, 3646, 5009, 6690, 262, 2069, 538, 15061, 7332, 7239, 269, 2311, 1152, 19939, 1296, 2025, 267, 1352, 15068, 513, 22266, 26923, 3801, 676, 13669, 28063, 17740, 1218, 5275, 547, 16563, 1200, 5639, 269, 4653, 267, 5689, 8403, 5170, 8165, 585, 3160, 1569, 547, 2298, 2069, 5001, 267, 4742, 606, 11599, 3090, 540, 10100, 543, 6043, 780, 4322, 8903, 6386, 4196, 607, 23106, 602, 1256, 8015, 4101, 6381, 267, 2021, 4865, 10373, 1761, 547, 1198, 2318, 1689, 269, 1635, 4974, 741, 10781, 267, 649, 4126, 547, 8300, 2104, 5481, 540, 2178, 267, 17519, 3401, 6131, 547, 10575, 14823, 12790, 9739, 543, 5807, 8537, 2208, 780, 6962, 912, 9961, 1686, 267, 2021, 689, 1585, 10080, 543, 4529, 723, 7152, 6909, 6830, 3363, 267, 4987, 267, 543, 5876, 269, 3245, 15194, 25267, 547, 22299, 532, 1514, 3123, 267, 789, 3136, 8840, 7496, 5892, 2219, 31837, 25236, 762, 269, 4256, 2984, 1683, 3407, 4245, 585, 2413, 6107, 20678, 547, 1628, 1732, 9723, 528, 4900, 12082, 538, 9698, 267, 2463, 267, 543, 1620, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 4517, 16120, 543, 12832, 984, 541, 11866, 454, 297, 2459, 340, 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 ]

[ 267, 519, 1570, 9138, 607, 519, 3490, 585, 21338, 18747, 269, 654, 269, 661, 269, 1261, 987, 14716, 3213, 269, 540, 5682, 31069, 267, 18518, 267, 1185, 11643, 513, 2539, 11556, 540, 1269, 279, 1789, 267, 1822, 585, 12254, 560, 1737, 25342, 267, 519, 2034, 3490, 1570, 269, 3097, 275, 269, 634, 20260, 568, 13815, 539, 454, 763, 2817, 8189, 1558, 693, 3943, 700, 1157, 267, 18518, 267, 593, 11728, 267, 5147, 476, 1724, 267, 476, 4350, 272, 267, 547, 3313, 547, 7247, 547, 8366, 519, 4579, 269, 11135, 3515, 941, 6537, 1063, 18518, 14680, 18793, 543, 1346, 945, 23163, 6778, 5794, 344, 610, 12254, 560, 1737, 25342, 269, 27737, 23846, 543, 18518, 6837, 5443, 8381, 543, 966, 652, 531, 11130, 602, 16310, 1373, 14949, 267, 18518, 14680, 1131, 6802, 2724, 883, 519, 3557, 4346, 269, 5576, 677, 30937, 597, 267, 519, 15818, 585, 519, 14680, 4690, 267, 12219, 547, 9029, 547, 14199, 540, 519, 27308, 631, 749, 517, 267, 952, 621, 941, 3020, 602, 16551, 1152, 1572, 585, 14680, 538, 519, 9703, 269, 8409, 5885, 25342, 11329, 856, 602, 621, 729, 513, 3084, 18189, 543, 602, 25342, 729, 711, 1641, 547, 29056, 269, 26943, 828, 1206, 517, 267, 519, 1379, 593, 519, 15445, 9730, 267, 12038, 856, 585, 519, 946, 540, 18518, 14680, 585, 519, 9703, 540, 519, 2497, 543, 25342, 585, 519, 16538, 269, 26302, 9478, 654, 269, 918, 9404, 601, 540, 966, 4532, 15086, 11329, 856, 602, 1010, 2749, 543, 12928, 2135, 6019, 1185, 834, 4186, 30744, 2047, 1269, 7742, 267, 476, 1822, 936, 543, 1657, 938, 8167, 622, 851, 257, 540, 519, 3557, 781, 9295, 267, 543, 24016, 602, 519, 1788, 834, 2254, 581, 5010, 1242, 538, 1022, 4110, 1701, 3097, 5475, 7440, 941, 4862, 267, 519, 15445, 9730, 4843, 547, 519, 8189, 1614, 18747, 281, 654, 269, 661, 269, 1261, 987, 781, 540, 1269, 6507, 274, 267, 8517, 585, 12254, 560, 1737, 25342, 585, 519, 16538, 540, 519, 17341, 543, 18518, 14680, 585, 519, 9703, 1657, 519, 530, 1622, 20799, 1154, 282, 1261, 613, 2006, 6953, 1551, 529, 262, 585, 1269, 279, 2537, 267, 1822, 267, 14680, 9703, 543, 6778, 5794, 344, 25342, 16538, 282, 543, 589, 269, 661, 269, 918, 655, 1067, 781, 540, 1269, 277, 2767, 267, 1822, 585, 25342, 3490, 543, 14680, 22530, 4450, 543, 9703, 269, 1635, 513, 8917, 540, 8370, 547, 3670, 267, 519, 8189, 5462, 547, 4579, 609, 1261, 987, 14716, 3213, 269, 3097, 2691, 519, 4579, 729, 9896, 267, 621, 729, 3177, 602, 12254, 560, 1737, 25342, 581, 1031, 585, 519, 13675, 267, 3268, 543, 1768, 15869, 267, 9587, 267, 1612, 777, 564, 543, 1292, 3774, 1657, 519, 6512, 1576, 267, 543, 2895, 527, 571, 557, 540, 1292, 13675, 269, 18518, 14680, 729, 547, 581, 1031, 585, 7796, 7539, 267, 1698, 8558, 267, 8970, 1182, 267, 543, 2781, 559, 902, 540, 519, 9703, 269, 10049, 607, 9138, 538, 519, 3490, 19915, 941, 547, 581, 1031, 538, 824, 2694, 540, 519, 2497, 269, 3097, 310, 531, 614, 681, 269, 1261, 987, 267, 519, 3811, 536, 1342, 518, 267, 729, 1134, 1634, 547, 966, 4532, 15086, 26767, 269, 1261, 1185, 10924, 519, 4579, 585, 28889, 9934, 519, 12928, 2135, 6019, 3938, 628, 1787, 593, 519, 2669, 540, 3627, 589, 269, 918, 11839, 267, 543, 1185, 25517, 519, 590, 29229, 6019, 3938, 628, 1787, 693, 590, 29229, 267, 607, 1134, 607, 513, 1297, 540, 9992, 24471, 543, 22408, 528, 640, 8075, 693, 1546, 303, 879, 342, 6280, 269, 3097, 276, 269, 5019, 3949, 20531, 606, 27148, 454, 15703, 28336, 25255, 30409, 8387, 540, 519, 772, 2529, 269, 8534, 4972, 267, 543, 621, 729, 4121, 602, 519, 12254, 560, 1737, 3213, 1421, 799, 729, 547, 3761, 519, 25342, 267, 729, 513, 8225, 18294, 269, 16270, 5305, 540, 713, 1344, 267, 519, 20031, 1512, 7577, 540, 966, 4532, 15086, 543, 4095, 24550, 29040, 27737, 674, 612, 267, 834, 7312, 5638, 1397, 938, 6109, 568, 1970, 536, 1342, 518, 585, 8381, 12064, 25342, 543, 4061, 568, 13886, 547, 519, 4579, 1701, 589, 269, 661, 269, 918, 8145, 1067, 781, 5048, 547, 674, 612, 1224, 267, 834, 296, 1463, 707, 3007, 547, 1250, 4567, 607, 1970, 536, 1342, 518, 585, 1977, 2326, 1701, 27737, 23846, 1572, 593, 674, 612, 547, 1289, 513, 5870, 540, 519, 8189, 547, 556, 29264, 519, 4579, 607, 12254, 560, 1737, 25342, 568, 8225, 269, 3097, 25938, 1807, 674, 612, 729, 1174, 2406, 1253, 5962, 676, 519, 3046, 14141, 540, 751, 5586, 2449, 269, 1261, 5143, 519, 2046, 602, 952, 519, 12254, 560, 1737, 6109, 29170, 3072, 922, 25342, 538, 4516, 543, 25855, 593, 8225, 16456, 338, 519, 4579, 1131, 581, 20704, 539, 269, 1809, 267, 646, 3773, 267, 519, 695, 9068, 1131, 581, 3710, 540, 25342, 269, 476, 6969, 10912, 513, 5870, 540, 519, 10243, 267, 27737, 674, 612, 2366, 513, 1079, 17907, 2319, 267, 27672, 543, 8055, 267, 547, 3643, 519, 2430, 1091, 540, 519, 8381, 12064, 21081, 924, 3213, 269, 693, 10434, 19213, 543, 8381, 12064, 267, 28599, 563, 23613, 1841, 543, 8055, 1336, 602, 593, 4873, 476, 1321, 267, 476, 4350, 272, 267, 519, 8381, 12064, 3213, 269, 1185, 682, 1078, 547, 519, 12254, 560, 1737, 21081, 924, 2372, 1551, 625, 513, 1804, 26755, 693, 8381, 12064, 269, 1879, 789, 1572, 693, 519, 26755, 267, 789, 1336, 6190, 25342, 834, 2889, 1597, 543, 8756, 539, 547, 811, 982, 6445, 519, 10421, 540, 519, 17341, 1369, 519, 942, 9138, 538, 519, 4579, 1701, 1358, 4121, 602, 606, 6876, 1185, 1044, 1198, 539, 1063, 519, 8381, 12064, 3213, 269, 543, 519, 12254, 560, 1737, 3213, 269, 547, 798, 835, 28451, 519, 5969, 267, 19703, 267, 543, 18138, 538, 519, 10434, 19213, 2030, 543, 519, 14230, 676, 519, 12254, 560, 1737, 1004, 693, 519, 27392, 2041, 30577, 2030, 269, 2353, 960, 729, 23553, 547, 581, 2944, 676, 2136, 2276, 4074, 267, 543, 519, 31356, 941, 547, 4309, 519, 1482, 13230, 4336, 607, 6976, 676, 824, 6149, 3549, 269, 2353, 8737, 6149, 25855, 689, 10434, 19213, 729, 547, 1847, 936, 16456, 338, 7357, 1369, 519, 2136, 2276, 267, 6112, 4652, 31944, 25342, 25855, 689, 8381, 12064, 547, 27392, 2041, 30577, 1131, 1780, 936, 827, 476, 279, 267, 1822, 3952, 540, 3950, 5087, 540, 519, 3486, 10465, 269, 634, 12254, 560, 1737, 2030, 729, 593, 519, 10465, 267, 855, 621, 729, 513, 18294, 6896, 896, 519, 4031, 540, 28599, 269, 3097, 277, 269, 634, 8189, 1234, 3530, 8787, 519, 20260, 454, 25938, 1807, 25303, 21388, 540, 28599, 7902, 1354, 519, 5181, 476, 2764, 5870, 540, 519, 8189, 267, 2059, 609, 27672, 543, 8055, 269, 1261, 30599, 4011, 730, 741, 6898, 602, 519, 1641, 2679, 1570, 729, 834, 309, 1069, 2632, 25342, 543, 2687, 547, 782, 3652, 543, 2853, 538, 519, 25342, 1870, 267, 729, 538, 2407, 10220, 609, 519, 6003, 540, 519, 3732, 11643, 1701, 3097, 26668, 3108, 540, 1035, 3234, 517, 1190, 7440, 1671, 4240, 1354, 513, 8917, 729, 3144, 269, 2201, 835, 8317, 6837, 2006, 8381, 2968, 865, 989, 18469, 602, 646, 1011, 10757, 267, 834, 10472, 1870, 786, 581, 513, 1600, 538, 6837, 267, 543, 952, 621, 568, 267, 594, 4250, 585, 519, 18189, 1701, 8381, 9901, 12611, 593, 12406, 602, 513, 3732, 540, 25342, 6074, 585, 20106, 540, 519, 4579, 3357, 689, 513, 8225, 26755, 267, 1247, 8189, 2818, 5156, 789, 941, 13359, 585, 1977, 25342, 269, 590, 5861, 269, 918, 633, 1777, 267, 606, 18607, 585, 1261, 987, 14716, 267, 1449, 1881, 602, 519, 15784, 729, 834, 514, 519, 1719, 540, 519, 18518, 7799, 9693, 3213, 1421, 519, 1034, 533, 2086, 1229, 1126, 540, 2872, 538, 18518, 1701, 1744, 1136, 1010, 9416, 693, 27737, 23846, 543, 11724, 894, 8381, 267, 918, 633, 1777, 3773, 267, 834, 8117, 596, 4312, 6039, 713, 1126, 540, 23600, 1701, 27737, 23846, 1572, 585, 513, 8917, 593, 20704, 532, 519, 4579, 609, 654, 269, 661, 269, 1261, 987, 269, 3571, 5163, 729, 17204, 8370, 547, 3670, 269, 3097, 291, 269, 654, 269, 681, 269, 1261, 987, 12706, 338, 513, 17341, 454, 272, 269, 634, 12476, 618, 568, 19196, 822, 730, 543, 7690, 623, 10696, 454, 763, 4579, 2348, 1044, 556, 3530, 3305, 539, 267, 654, 269, 681, 269, 1261, 987, 960, 5443, 14593, 6619, 609, 4070, 269, 2201, 4864, 476, 3066, 267, 835, 3923, 1354, 519, 2629, 8917, 267, 513, 12284, 540, 5619, 832, 1185, 3964, 519, 7852, 3515, 585, 519, 18189, 269, 853, 1389, 941, 9141, 267, 16287, 519, 7516, 540, 519, 5458, 2497, 269, 16140, 729, 7745, 593, 13638, 267, 5181, 476, 272, 267, 950, 513, 1297, 540, 2749, 8387, 543, 1870, 5443, 19632, 547, 4585, 607, 7671, 26943, 828, 1206, 517, 5828, 519, 1101, 15524, 767, 540, 3618, 269, 5741, 8111, 23734, 550, 6276, 28270, 1287, 5795, 519, 2262, 267, 543, 1896, 3532, 9252, 15524, 12069, 6410, 538, 543, 3459, 14155, 908, 585, 519, 18189, 5748, 269, 634, 1292, 26995, 729, 6192, 538, 5216, 2395, 267, 543, 593, 5181, 476, 1556, 267, 15790, 550, 619, 941, 5828, 547, 2679, 3029, 585, 3723, 902, 269, 11531, 267, 519, 28372, 10754, 538, 519, 25610, 941, 14324, 909, 563, 298, 599, 6410, 7444, 267, 1317, 621, 1131, 581, 834, 335, 3233, 3609, 257, 538, 2070, 540, 519, 15784, 547, 3142, 538, 811, 5230, 3937, 269, 24935, 609, 519, 9375, 540, 519, 6129, 4211, 558, 14293, 267, 28270, 6829, 26845, 602, 834, 1492, 15784, 814, 30281, 1524, 960, 693, 513, 1974, 540, 519, 1032, 950, 4365, 2175, 723, 1044, 1034, 4998, 1701, 4518, 1131, 581, 5645, 593, 1282, 519, 4411, 3275, 267, 855, 267, 646, 3773, 267, 834, 1492, 1482, 4110, 540, 2212, 3118, 3112, 581, 1500, 538, 4411, 5162, 4365, 607, 693, 713, 942, 540, 519, 1032, 1701, 3097, 2026, 4166, 607, 646, 729, 711, 1881, 602, 519, 4579, 1185, 1044, 9672, 267, 8111, 23734, 550, 28270, 14593, 519, 15790, 550, 619, 267, 543, 676, 5239, 476, 280, 519, 3029, 1185, 1044, 6192, 269, 634, 26311, 540, 6405, 585, 519, 3723, 902, 3323, 269, 20553, 519, 6405, 4682, 834, 28236, 4090, 3996, 267, 1519, 1507, 11113, 1701, 14066, 24921, 540, 2427, 19769, 2706, 23734, 757, 941, 13631, 547, 519, 3135, 547, 4585, 834, 821, 540, 519, 4102, 533, 2293, 540, 6405, 2479, 1500, 538, 519, 1858, 1701, 3097, 2026, 4166, 607, 519, 3029, 941, 6569, 267, 1007, 3283, 941, 3710, 547, 22285, 519, 1804, 6405, 533, 4536, 269, 1452, 533, 4536, 267, 4009, 538, 3337, 267, 941, 17479, 538, 10580, 543, 941, 2966, 547, 1489, 519, 16854, 2597, 540, 519, 18189, 2497, 269, 2991, 519, 6405, 1185, 1044, 23953, 543, 1305, 267, 519, 29421, 729, 6569, 267, 32006, 3042, 267, 543, 960, 5443, 5828, 547, 16245, 532, 3029, 585, 519, 32466, 543, 1489, 20832, 269, 3097, 273, 269, 7831, 5336, 514, 1393, 15448, 454, 4407, 32261, 519, 1101, 695, 3612, 540, 25342, 267, 519, 15445, 9730, 543, 11629, 670, 597, 976, 1558, 543, 8815, 593, 930, 2063, 18826, 2242, 538, 4566, 543, 16551, 585, 519, 2497, 269, 2390, 670, 597, 976, 262, 16252, 267, 621, 729, 5462, 547, 12990, 3345, 10060, 4095, 4414, 21081, 924, 689, 853, 269, 13192, 267, 16506, 267, 585, 519, 13643, 4011, 334, 4414, 21081, 924, 538, 519, 6512, 1576, 1657, 519, 4158, 3039, 342, 1622, 20799, 269, 3097, 288, 14842, 540, 519, 834, 27903, 2427, 540, 519, 13675, 1472, 519, 7450, 257, 729, 9516, 269, 634, 19730, 13675, 543, 922, 4410, 902, 941, 547, 581, 12628, 267, 1317, 519, 960, 676, 922, 834, 333, 1155, 2838, 711, 1152, 1469, 1353, 543, 5698, 855, 849, 8966, 7499, 5578, 543, 4686, 23477, 538, 1312, 1374, 543, 11056, 1701, 769, 922, 1747, 1131, 581, 9112, 513, 19730, 13675, 267, 6885, 267, 543, 22514, 756, 2544, 269, 645, 1749, 585, 713, 960, 1131, 581, 1151, 545, 1243, 689, 3670, 19730, 3549, 269, 3097, 763, 4070, 540, 519, 26434, 729, 5941, 269, 670, 597, 976, 6045, 602, 519, 4566, 543, 16551, 1572, 585, 606, 2011, 2230, 1063, 519, 14680, 26434, 543, 519, 5885, 18674, 6405, 26434, 1657, 621, 269, 3571, 17874, 11653, 267, 2705, 267, 9053, 26311, 519, 6405, 2047, 593, 1283, 540, 519, 14680, 267, 1310, 621, 1185, 1044, 28890, 539, 269, 898, 729, 5462, 602, 519, 6418, 26434, 1131, 581, 9112, 676, 1101, 11093, 519, 14680, 267, 1287, 17568, 513, 28890, 9245, 267, 543, 6368, 26311, 519, 6405, 269, 3097, 763, 15445, 9730, 4280, 670, 597, 976, 547 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 3698, 1599, 10031, 825, 1820, 2891, 15916, 267, 4658, 15419, 825, 1003, 272, 815, 703, 9272, 2891, 11754, 513, 19362, 281, 27328, 825, 1003, 273, 815, 703, 9272, 2891, 11754, 513, 2034, 1297, 281, 27328, 825, 1820, 16325, 272, 270, 11133, 273, 2020, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1599, 4590, 0, 5814, 2979, 692, 335, 272, 815, 3403, 4590, 335, 273, 815, 3403, 10797, 343, 272, 267, 586, 272, 815, 533, 272, 21858, 3488, 30386, 343, 273, 267, 586, 273, 815, 533, 273, 21858, 3488, 1412, 2020, 343, 272, 815, 10581, 3287, 272, 994, 344, 272, 815, 10581, 12169, 272, 994, 343, 273, 815, 10581, 3287, 273, 994, 344, 273, 815, 10581, 12169, 273, 2020, 323, 815, 2979, 28460, 9638, 578, 3287, 273, 910, 1535, 272, 267, 476, 273, 264, 1341, 4073, 12169, 273, 910, 586, 272, 267, 476, 273, 11723, 2745, 3488, 346, 15545, 275, 325, 348, 8339, 8971, 5560, 4297, 0, 12163, 30022, 23037, 620, 2998, 538, 5124, 274, 454, 20701, 3698, 2656, 5334, 677, 19906, 2187, 825, 8173, 825, 2656, 5334, 677, 12204, 606, 5044, 540, 9981, 563, 825, 8173, 825, 952, 7003, 19906, 264, 10922, 476, 272, 912, 1038, 2132, 2855, 692, 825, 22141, 815, 2855, 314, 6352, 19906, 264, 12262, 476, 273, 2639, 825, 2451, 815, 1496, 343, 585, 1535, 538, 2855, 952, 1535, 2999, 22141, 2639, 825, 1647, 815, 1496, 343, 585, 1535, 538, 2855, 952, 1535, 2652, 22141, 2639, 825, 1318, 815, 1496, 343, 585, 1535, 538, 2855, 952, 1535, 3436, 22141, 6540, 825, 2132, 2656, 5334, 677, 263, 3847, 264, 1341, 1647, 1341, 2656, 5334, 677, 263, 2431, 2020, 2745, 263, 638, 1157, 5334, 677, 8443, 275, 267, 476, 273, 267, 476, 278, 267, 476, 280, 267, 476, 276, 267, 476, 272, 267, 476, 278, 267, 476, 272, 267, 476, 6246, 267, 910, 276, 267, 476, 272, 267, 476, 10602, 267, 910, 31079, 272, 267, 476, 276, 267, 476, 278, 28413, 0, 258, 295, 650, 595, 8327, 7402, 7973, 528, 630, 28049, 994, 258, 2421, 9995, 571, 19358, 692, 2745, 834, 295, 650, 595, 8327, 7402, 7973, 528, 630, 28049, 264, 5016, 5228, 4351, 1104, 28219, 842, 692, 531, 8224, 815, 22373, 288, 2580, 834, 289, 2580, 834, 290, 2580, 834, 291, 2580, 834, 292, 2580, 834, 293, 2580, 834, 294, 2580, 834, 295, 2580, 834, 296, 2580, 834, 297, 2580, 834, 298, 2580, 834, 299, 2580, 834, 300, 2580, 834, 301, 2580, 834, 383, 495, 2580, 834, 302, 2580, 834, 303, 2580, 834, 304, 2580, 834, 305, 2580, 834, 306, 2580, 834, 307, 2580, 834, 308, 2580, 834, 309, 2580, 834, 310, 2580, 834, 311, 2580, 834, 312, 2580, 834, 313, 257, 6540, 20657, 7973, 539, 815, 6151, 17750, 2891, 17504, 547, 17278, 281, 834, 1040, 21639, 4590, 5320, 815, 1232, 7973, 539, 454, 323, 24512, 815, 11713, 1721, 524, 538, 1232, 7973, 539, 912, 476, 546, 24512, 6910, 6262, 2020, 2745, 834, 763, 1883, 5119, 1590, 581, 2185, 5022, 1279, 543, 4570, 5022, 540, 519, 5053, 9904, 4799, 4486, 815, 834, 1492, 5379, 4840, 6112, 711, 630, 4486, 18994, 10401, 3890, 543, 7003, 31107, 264, 2652, 476, 275, 264, 10778, 476, 1883, 815, 6151, 17750, 2891, 7659, 5119, 2262, 281, 834, 1040, 21639, 4590, 4486, 29999, 815, 1883, 454, 330, 24512, 815, 11713, 1721, 524, 273, 538, 1883, 912, 476, 737, 24512, 6910, 6262, 273, 2020, 1721, 1775, 538, 2039, 263, 271, 267, 7003, 5560, 24512, 15892, 476, 546, 24512, 5157, 316, 815, 9904, 28827, 5560, 24512, 5157, 20285, 1721, 1775, 273, 538, 2039, 263, 271, 267, 7003, 17347, 24512, 15892, 476, 737, 24512, 5157, 273, 316, 815, 9904, 28827, 17347, 24512, 5157, 273, 20285, 16838, 815, 6936, 454, 604, 7003, 5560, 24512, 264, 4939, 476, 273, 2652, 476, 272, 912, 476, 546, 24512, 6910, 263, 271, 994, 476, 1256, 815, 8771, 692, 16780, 7973, 539, 815, 11713, 1721, 795, 538, 2039, 263, 271, 267, 703, 12759, 5560, 24512, 8358, 273, 15892, 476, 546, 24512, 14728, 316, 815, 630, 330, 24512, 314, 271, 30297, 842, 5560, 24512, 14728, 8079, 1341, 737, 24512, 314, 272, 30297, 703, 5560, 24512, 14728, 266, 272, 316, 4297, 260, 2767, 454, 476, 546, 24512, 14728, 266, 272, 316, 815, 630, 330, 24512, 314, 273, 30297, 842, 5560, 24512, 14728, 8079, 1341, 737, 24512, 314, 274, 30297, 703, 5560, 24512, 14728, 266, 272, 316, 4297, 260, 2767, 692, 1721, 1775, 274, 538, 2039, 630, 271, 267, 7003, 5560, 24512, 15892, 476, 546, 24512, 5157, 274, 316, 815, 9904, 314, 323, 24512, 5157, 274, 316, 6540, 16780, 7973, 539, 815, 834, 4840, 1721, 524, 274, 538, 546, 24512, 912, 476, 24290, 815, 24290, 1341, 1193, 6262, 274, 2020, 604, 711, 1256, 912, 476, 24290, 815, 24290, 11468, 6352, 263, 16780, 7973, 539, 9984, 272, 6540, 258, 24342, 692, 2745, 834, 763, 24290, 3009, 568, 4939, 338, 257, 4939, 24290, 454, 0, 18411, 8620, 513, 11718, 602, 12958, 519, 10945, 540, 2338, 909, 547, 930, 1297, 715, 454, 18411, 3698, 575, 839, 638, 4100, 18217, 2187, 825, 585, 1297, 538, 2039, 18217, 2187, 1038, 6556, 1297, 2878, 476, 273, 692, 258, 1721, 1535, 538, 575, 839, 638, 4100, 263, 1015, 2187, 825, 1948, 2745, 3287, 2020, 18411, 8620, 513, 11718, 602, 11729, 1412, 333, 262, 4351, 1297, 1063, 513, 1970, 543, 1164, 1297, 602, 616, 11378, 454, 18411, 5814, 4351, 692, 3698, 28219, 19571, 263, 869, 267, 14683, 19885, 2187, 825, 585, 1297, 538, 2039, 3799, 2187, 1038, 6556, 4351, 27110, 263, 869, 267, 14683, 2020, 1721, 1003, 538, 28219, 19571, 263, 272, 267, 1015, 267, 1321, 2187, 825, 1820, 16325, 9239, 18411, 8196, 519, 12055, 3890, 1599, 547, 6460, 519, 5569, 2630, 547, 606, 954, 1807, 454, 18411, 338, 815, 834, 31435, 4840, 527, 23952, 815, 12055, 4433, 2020, 1721, 1915, 538, 621, 23952, 912, 825, 1820, 1915, 692, 18411, 23737, 513, 946, 2013, 585, 513, 11718, 1210, 513, 6556, 3948, 1141, 596, 9327, 1405, 1616, 547, 946, 513, 3339, 1599, 609, 513, 2132, 3948, 1384, 2691, 10451, 5458, 2179, 547, 1239, 602, 568, 2469, 547, 581, 1031, 543, 1287, 10032, 269, 898, 568, 1732, 547, 946, 11718, 607, 621, 786, 711, 4688, 4376, 454, 514, 3965, 563, 18257, 692, 18411, 17653, 1807, 24366, 912, 2005, 568, 899, 1592, 8223, 855, 3079, 540, 4466, 782, 519, 3688, 596, 616, 5461, 543, 24386, 873, 883, 513, 1592, 267, 621, 3649, 1080, 543, 11729, 454, 26421, 6221, 856, 540, 519, 1163, 637, 5235, 835, 676, 835, 454, 18411, 3240, 8217, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 267, 279, 267, 280, 2639, 327, 27941, 318, 22474, 318, 22764, 8217, 815, 1496, 14403, 585, 6221, 538, 1250, 8217, 952, 6221, 3436, 476, 274, 2639, 2745, 22607, 27941, 318, 22474, 318, 22764, 8217, 994, 2745, 12759, 22607, 27941, 318, 22474, 318, 22764, 8217, 11723, 258, 31098, 8223, 630, 1492, 3017, 568, 538, 519, 2511, 540, 23049, 267, 585, 1592, 621, 568, 32582, 585, 1024, 4818, 31156, 16149, 8217, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 267, 279, 267, 280, 2639, 2102, 4818, 815, 630, 14403, 585, 6221, 538, 2034, 8217, 952, 6221, 3436, 476, 274, 2020, 28744, 263, 2102, 4818, 994, 28744, 12759, 263, 2102, 4818, 4297, 1948, 810, 20248, 621, 814, 1100, 3259, 692, 2745, 263, 2102, 4818, 12785, 15405, 2745, 263, 10113, 263, 2102, 4818, 4297, 0, 18411, 13356, 528, 2209, 568, 606, 4434, 9226, 1888, 269, 5463, 528, 2209, 1450, 596, 547, 1232, 582, 622, 513, 1599, 269, 14597, 649, 723, 513, 1599, 543, 649, 1616, 547, 1039, 3097, 2169, 571, 10342, 547, 621, 269, 476, 1703, 616, 1079, 3681, 1101, 568, 547, 1039, 3063, 3009, 547, 519, 4540, 1599, 267, 519, 1966, 568, 602, 607, 649, 723, 454, 7116, 1881, 519, 2025, 1599, 922, 10342, 814, 4957, 543, 8754, 649, 666, 1405, 1289, 568, 3362, 563, 5194, 4781, 568, 547, 1711, 513, 1007, 1599, 5299, 519, 3009, 689, 519, 3105, 1599, 543, 1287, 1039, 1007, 3009, 547, 621, 267, 855, 621, 1797, 3097, 933, 1185, 547, 27682, 519, 3009, 267, 1256, 1498, 621, 568, 2241, 5299, 543, 13594, 563, 3719, 1018, 952, 649, 1287, 1616, 547, 4894, 602, 3063, 10342, 269, 1284, 1131, 991, 547, 18419, 621, 16924, 610, 1118, 2386, 547, 723, 519, 2025, 1599, 454, 288, 1732, 1259, 568, 547, 723, 606, 593, 270, 4752, 6467, 547, 3533, 1039, 713, 10342, 563, 23911, 814, 7718, 2209, 602, 1450, 721, 547, 8214, 593, 3063, 10342, 547, 606, 2907, 4540, 1599, 563, 2171, 946, 519, 7711, 11346, 543, 616, 1287, 5116, 593, 1283, 540, 519, 3312, 1599, 563, 288, 7718, 1807, 568, 1175, 513, 1599, 602, 4991, 1572, 1354, 519, 824, 1599, 563, 18411, 3698, 30775, 10031, 825, 2132, 476, 272, 22562, 28744, 263, 6943, 6600, 15635, 4917, 28744, 6600, 15635, 2020, 3698, 32597, 10031, 825, 2132, 834, 15916, 15323, 326, 22901, 815, 32597, 692, 28744, 14116, 22901, 994, 28744, 14116, 22901, 15405, 258, 23437, 32597, 454, 258, 31435, 4590, 18411, 30131, 1448, 547, 4063, 568, 602, 3252, 616, 3615, 602, 666, 581, 5293, 547, 1776, 1843, 563, 6781, 913, 649, 25216, 519, 32597, 3890, 1599, 855, 649, 666, 1869, 14892, 519, 26250, 607, 513, 1599, 267, 1317, 32597, 3890, 3097, 10818, 729, 5293, 593, 547, 621, 563, 18411, 28744, 14116, 22901, 31156, 3698, 32597, 28442, 8782, 2026, 574, 262, 2187, 825, 1820, 3488, 763, 32597, 1599, 814, 1044, 13401, 256, 17210, 825, 1219, 26250, 10031, 1038, 2132, 1412, 315, 339, 901, 568, 519, 26250, 3890, 30775, 3330, 32597, 256, 7055, 8931, 825, 1219, 10950, 10031, 1038, 2132, 1412, 315, 339, 713, 568, 10950, 3890, 3330, 32597, 7055, 8931, 825, 1820, 3488, 296, 993, 2469, 547, 2132, 513, 1599, 8627, 17210, 825, 952, 2012, 2652, 1412, 2026, 574, 12466, 1038, 2132, 26250, 454, 825, 3116, 912, 1038, 2132, 10950, 454, 18411, 30131, 1448, 547, 5469, 568, 602, 26250, 3890, 543, 10950, 3252, 616, 1152, 7298, 3330, 519, 32597, 3890, 1599, 563, 11073, 2515, 891, 3252, 891, 3252, 616, 711, 7298, 269, 865, 875, 666, 649, 1569, 891, 3252, 269, 476, 4270, 952, 649, 666, 1118, 3097, 31435, 3890, 547, 2132, 513, 1599, 1287, 621, 786, 960, 269, 1924, 519, 32597, 3890, 1599, 786, 581, 9168, 547, 2132, 519, 26250, 610, 10950, 1599, 3097, 337, 1430, 1287, 1175, 1210, 519, 1820, 3948, 563, 18411, 258, 3240, 318, 2908, 6958, 15635, 815, 32597, 4590, 28744, 30044, 318, 2908, 6958, 15635, 994, 28744, 30044, 318, 2908, 6958, 15635, 31156, 3698, 3579, 10031, 825, 1219, 2706, 6831, 944, 10031, 1038, 2132, 1412, 296, 993, 1360, 3579, 8627, 7055, 825, 2132, 2706, 6831, 944, 692, 258, 16341, 6958, 15635, 815, 3579, 4590, 28744, 4433, 727, 6958, 15635, 3890, 9239, 3698, 32597, 10031, 825, 2132, 1412, 17098, 1306, 574, 28847, 3698, 824, 4433, 727, 318, 3698, 6958, 15635, 2187, 825, 23288, 825, 9521, 1354, 1631, 649, 616, 8429, 1599, 607, 606, 989, 745, 618, 454, 825, 649, 1287, 14892, 930, 3009, 543, 1287, 608, 624, 826, 519, 1599, 3097, 825, 5293, 607, 606, 4661, 563, 825, 23288, 825, 1820, 3488, 8448, 3009, 8255, 1934, 256, 5073, 825, 1820, 4433, 727, 318, 3698, 6958, 15635, 31156, 258, 898, 568, 1271, 547, 5469, 602, 649, 616, 8429, 32597, 711, 32597, 19572, 1317, 32597, 3890, 568, 11056, 543, 3097, 258, 649, 1810, 1405, 1616, 547, 14892, 519, 1599, 267, 519, 11056, 786, 581, 2944, 3330, 519, 824, 4590, 2745, 263, 1278, 263, 31435, 264, 9239, 3698, 1007, 318, 1372, 14585, 1807, 263, 13092, 6958, 15635, 17107, 825, 1219, 16833, 6958, 15635, 10031, 1038, 23288, 1038, 634, 2856, 568, 547, 1491, 513, 1599, 267, 1039, 3063, 10342, 547, 621, 543, 1287, 2132, 621, 454, 1038, 2353, 519, 1657, 1806, 616, 547, 5965, 585, 519, 7718, 1807, 543, 547, 1174, 621, 1732, 563, 1038, 23288, 1038, 1820, 3488, 5278, 3063, 3009, 267, 1354, 519, 3312, 1599, 5073, 1038, 3312, 6958, 15635, 4590, 1038, 1820, 3488, 5278, 3063, 3009, 267, 1310, 519, 3312, 1599, 256, 17210, 825, 2132, 16833, 6958, 15635, 692, 3698, 30775, 318, 928, 2644, 318, 1372, 14585, 1807, 10031, 825, 1820, 3488, 296, 1616, 547, 581, 21243, 8627, 5073, 18411, 12989, 568, 519, 1279, 1259, 540, 3257, 1919, 269, 3097, 18411, 258, 1372, 14585, 730, 6958, 15635, 815, 1007, 318, 1372, 14585, 1807, 6600, 15635, 318, 928, 2644, 318, 1372, 14585, 1807, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 3815, 602, 4188, 338, 519, 5232, 540, 5191, 269, 901, 568, 1634, 607, 513, 22621, 512, 23150, 780, 3086, 267, 1577, 781, 3802, 998, 519, 3009, 1384, 3499, 7090, 454, 5814, 21795, 607, 19073, 454, 5814, 11885, 607, 5286, 454, 5228, 1085, 27251, 14714, 1846, 1104, 512, 454, 5228, 28189, 269, 2181, 30112, 1104, 3687, 16655, 306, 5632, 518, 454, 5228, 28189, 6230, 617, 601, 26000, 3005, 1104, 3444, 26371, 23962, 267, 918, 293, 1245, 692, 258, 20509, 519, 10471, 454, 323, 21648, 564, 815, 19073, 18667, 32269, 3488, 323, 21648, 564, 27406, 17210, 258, 2776, 15263, 519, 1239, 454, 311, 815, 10471, 269, 11161, 18020, 32473, 272, 4940, 770, 4286, 18828, 269, 15615, 5038, 994, 312, 815, 10471, 9131, 303, 528, 13920, 630, 8472, 262, 4940, 11161, 269, 770, 4286, 18828, 269, 15615, 5038, 994, 312, 815, 6515, 312, 32265, 4671, 4920, 845, 263, 312, 269, 31412, 8987, 272, 267, 476, 272, 26895, 30584, 10797, 258, 16294, 519, 3444, 29705, 9179, 1505, 454, 29764, 815, 918, 293, 1245, 3799, 5334, 680, 1080, 284, 1015, 267, 695, 28984, 18989, 2020, 258, 20509, 519, 2773, 8464, 540, 1079, 3631, 454, 637, 573, 783, 815, 19073, 18667, 32269, 18692, 825, 19419, 2839, 308, 28940, 318, 293, 11223, 318, 2793, 10933, 267, 694, 335, 8782, 282, 3299, 8918, 284, 8339, 5073, 16347, 318, 272, 5334, 13990, 815, 15895, 9131, 306, 23623, 262, 4940, 11161, 476, 1948, 8464, 540, 519, 1655, 2203, 454, 16347, 318, 273, 5334, 13990, 815, 15895, 9131, 14976, 2880, 15187, 262, 4940, 11161, 476, 1948, 8464, 540, 519, 2034, 1532, 652, 2203, 692, 258, 12433, 519, 3017, 538, 2773, 1063, 519, 1079, 3631, 454, 18528, 3720, 815, 2203, 318, 272, 5334, 13990, 910, 2203, 318, 273, 5334, 13990, 692, 258, 12433, 519, 1297, 540, 1449, 5036, 543, 519, 5232, 540, 5191, 454, 333, 815, 476, 1015, 476, 1948, 1297, 540, 1449, 5036, 454, 4206, 815, 562, 910, 476, 272, 454, 333, 17601, 815, 7003, 17338, 6262, 341, 21858, 11583, 267, 962, 4297, 314, 271, 6012, 271, 7481, 333, 15305, 815, 7003, 17338, 6262, 341, 21858, 11583, 267, 962, 4297, 314, 271, 6012, 272, 20285, 258, 12433, 519, 22621, 512, 17032, 543, 533, 17032, 454, 339, 14067, 520, 267, 533, 26371, 815, 12337, 6831, 8091, 539, 318, 1777, 652, 5560, 858, 3720, 267, 17093, 267, 562, 17601, 267, 562, 15305, 2020, 258, 12433, 519, 4608, 8091, 539, 512, 17032, 543, 533, 17032, 454, 339, 14067, 520, 318, 15635, 8091, 539, 815, 27210, 825, 5286, 32557, 5560, 858, 3720, 264, 1315, 5286, 28460, 18828, 269, 12534, 5560, 858, 3720, 267, 546, 323, 1993, 284, 272, 264, 1315, 562, 994, 994, 335, 26371, 318, 15635, 8091, 539, 815, 512, 4732, 325, 18828, 269, 11274, 6025, 14067, 520, 318, 15635, 8091, 539, 1070, 17093, 994, 7884, 1103, 519, 3009, 1657, 267, 649, 1101, 4452, 543, 840, 15263, 938, 10471, 269, 1284, 1287, 4452, 519, 2773, 8464, 540, 1079, 3631, 543, 5173, 519, 3017, 538, 741, 2773, 269, 1284, 5173, 519, 1297, 540, 1449, 5036, 543, 519, 5232, 540, 5191, 267, 799, 616, 1031, 547, 5173, 519, 22621, 543, 4608, 8091, 539, 512, 268, 11161, 543, 533, 268, 11161, 780, 763, 22621, 512, 17032, 543, 533, 17032, 616, 7229, 1210, 513, 1599, 2387, 4818, 1393, 6831, 8091, 539, 318, 1777, 652, 3890, 12452, 799, 568, 711, 3989, 538, 519, 3009, 1349, 269, 901, 1599, 1131, 2693, 946, 513, 15494, 3815, 547, 4188, 519, 5232, 540, 5191, 543, 5173, 519, 22621, 512, 17032, 543, 533, 17032, 780, 763, 4608, 8091, 539, 512, 17032, 543, 533, 17032, 616, 7229, 1210, 519, 4542, 585, 513, 512, 23150, 267, 799, 3322, 12719, 519, 1611, 543, 13065, 540, 519, 3604, 538, 2773, 543, 1287, 1210, 519, 512, 1673, 626, 9084, 547, 5173, 519, 533, 17032, 780, 1103, 3932, 267, 1620, 8579, 2079, 568, 2629, 585, 10442, 543, 9236, 3684, 1565, 3631, 269, 570, 2389, 3949, 616, 513, 3532, 1907, 585, 713, 267, 855, 621, 781, 1271, 547, 946, 873, 7157, 267, 2523, 538, 519, 2796, 540, 3444, 29705, 9179, 269, 1635, 1620, 891, 2035, 543, 7311, 873, 7157, 267, 649, 666, 1118, 811, 5483, 3664, 827, 799, 3631, 547, 946, 543, 875, 547, 2087, 873, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 564, 269, 11161, 18020, 32473, 272, 4940, 770, 4286, 18828, 269, 15615, 5038, 994, 312, 815, 10471, 9131, 303, 528, 13920, 630, 8472, 262, 4940, 11161, 269, 770, 4286, 18828, 269, 15615, 5038, 2020, 7825, 312, 815, 3687, 16655, 306, 5632, 518, 4590, 312, 815, 6515, 312, 32265, 4671, 4920, 845, 263, 312, 269, 31412, 8987, 272, 267, 476, 272, 26895, 30584, 10797, 258, 14892, 318, 23024, 2939, 10797, 637, 573, 783, 815, 19073, 18667, 32269, 18692, 825, 19419, 2839, 308, 28940, 318, 293, 11223, 318, 2793, 10933, 267, 694, 335, 8782, 282, 3299, 8918, 284, 8339, 5073, 16347, 318, 272, 5334, 13990, 815, 15895, 9131, 306, 23623, 262, 4940, 11161, 476, 1948, 8464, 540, 519, 1655, 2203, 454, 258, 8464, 540, 519, 2034, 1532, 652, 2203, 454, 16347, 318, 273, 5334, 13990, 815, 15895, 9131, 14976, 2880, 15187, 262, 4940, 11161, 692, 18528, 3720, 815, 2203, 318, 272, 5334, 13990, 910, 2203, 318, 273, 5334, 13990, 692, 333, 815, 476, 1015, 476, 1948, 1297, 540, 1449, 5036, 454, 4206, 815, 562, 910, 476, 272, 454, 333, 17601, 815, 7003, 17338, 6262, 341, 21858, 11583, 267, 962, 4297, 314, 271, 6012, 271, 7481, 333, 15305, 815, 7003, 17338, 6262, 341, 21858, 11583, 267, 962, 4297, 314, 271, 6012, 272, 20285, 339, 14067, 520, 267, 533, 26371, 815, 12337, 6831, 8091, 539, 318, 1777, 652, 5560, 858, 3720, 267, 17093, 267, 562, 17601, 267, 562, 15305, 994, 2745, 6600, 257, 28557, 539, 512, 17032, 281, 2715, 339, 14067, 520, 15545, 274, 325, 4153, 333, 4840, 8587, 535, 257, 28557, 539, 533, 17032, 281, 2715, 335, 26371, 15545, 274, 325, 348, 15419, 339, 14067, 520, 318, 15635, 8091, 539, 815, 27210, 825, 5286, 32557, 5560, 858, 3720, 264, 1315, 5286, 28460, 18828, 269, 12534, 5560, 858, 3720, 267, 546, 323, 1993, 284, 272, 264, 1315, 562, 994, 994, 335, 26371, 318, 15635, 8091, 539, 815, 512, 4732, 325, 18828, 269, 11274, 6025, 14067, 520, 318, 15635, 8091, 539, 1070, 17093, 2020, 2745, 6600, 257, 4462, 322, 8091, 539, 512, 17032, 281, 2715, 339, 14067, 520, 318, 15635, 8091, 539, 15545, 274, 325, 4153, 333, 4840, 8587, 535, 257, 4462, 322, 8091, 539, 533, 17032, 281, 2715, 335, 26371, 318, 15635, 8091, 539, 15545, 274, 325, 348, 5602, 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, 5149, 7170, 281, 3474, 534, 5436, 623, 2720, 7057, 910, 14958, 532, 3281, 2454, 19565, 11470, 774, 18115, 619, 692, 1103, 713, 1770, 267, 649, 5490, 883, 519, 1148, 540, 2870, 9159, 31510, 5436, 26497, 619, 585, 11174, 9458, 269, 1284, 2263, 1585, 2553, 602, 5512, 596, 547, 4020, 20605, 1650, 16447, 338, 267, 1402, 3634, 873, 609, 10578, 3197, 267, 543, 28433, 17680, 6137, 13602, 28093, 4240, 609, 824, 16447, 569, 2609, 269, 3776, 1445, 568, 16135, 538, 519, 3741, 13890, 538, 590, 826, 966, 11107, 262, 1433, 267, 834, 1015, 17778, 547, 12861, 6490, 22789, 16992, 2437, 799, 11363, 1915, 1646, 607, 519, 5127, 13702, 2390, 799, 2502, 6386, 616, 3710, 269, 901, 1935, 798, 23439, 5661, 16900, 609, 938, 3804, 540, 13167, 11108, 31510, 5436, 18697, 2984, 780, 8893, 2290, 281, 8490, 2659, 8111, 11499, 17807, 692, 2691, 8888, 707, 16750, 7122, 267, 621, 568, 1898, 547, 10880, 513, 10347, 3666, 1063, 23440, 543, 3209, 1399, 269, 2755, 3988, 6159, 557, 5169, 1275, 267, 789, 849, 5660, 1373, 2111, 547, 19671, 2933, 1369, 25992, 5468, 610, 3871, 269, 3399, 676, 7114, 1018, 3344, 540, 4641, 596, 6999, 547, 11677, 543, 1287, 2015, 1141, 10962, 28531, 2609, 1522, 3986, 519, 2239, 269, 1280, 3236, 267, 6220, 15293, 338, 883, 4207, 28180, 1272, 8591, 6106, 540, 6988, 1247, 4509, 10333, 780, 2026, 596, 17145, 856, 707, 1158, 267, 2307, 3054, 2055, 899, 281, 1215, 1281, 9059, 1599, 286, 1548, 3652, 1827, 922, 946, 286, 3657, 972, 4539, 547, 8840, 891, 4031, 286, 1635, 9591, 2312, 4808, 2038, 593, 267, 596, 2057, 10539, 1524, 519, 1899, 543, 6536, 11007, 2429, 707, 960, 269, 3958, 267, 1589, 827, 2686, 6286, 1107, 875, 1131, 2486, 2746, 952, 21947, 609, 15889, 6169, 540, 519, 1310, 5158, 610, 31373, 14111, 6228, 286, 1452, 29293, 666, 1291, 547, 3638, 8513, 585, 3695, 4798, 4143, 547, 15730, 3988, 780, 8893, 5565, 281, 15043, 31453, 1308, 3474, 534, 5436, 5019, 6782, 1235, 692, 7312, 16502, 5713, 607, 519, 5467, 781, 3119, 3391, 998, 707, 2813, 7122, 282, 4061, 267, 741, 4070, 11562, 1218, 6297, 7156, 269, 1879, 13167, 513, 31510, 5436, 5869, 610, 5869, 710, 267, 1832, 538, 2247, 602, 789, 1058, 581, 11541, 5103, 630, 528, 1317, 540, 264, 741, 2189, 5759, 269, 1358, 1590, 20920, 609, 2591, 1455, 547, 782, 14038, 267, 971, 607, 1582, 22523, 267, 3961, 5250, 267, 543, 10188, 1514, 25327, 269, 1717, 267, 7429, 6093, 4947, 6361, 21943, 8941, 267, 707, 3844, 4137, 949, 4865, 9058, 15421, 610, 3068, 8966, 9465, 1813, 547, 741, 4276, 547, 519, 16750, 7706, 780, 13706, 1210, 2645, 899, 1346, 3177, 538, 966, 11107, 262, 834, 1015, 17778, 547, 12861, 6490, 22789, 16992, 257, 547, 2327, 9488, 1646, 269, 4173, 2409, 5000, 4589, 547, 4983, 1169, 25246, 540, 513, 1915, 781, 7209, 267, 689, 2168, 5920, 543, 4282, 3877, 547, 5626, 7592, 543, 18144, 269, 16792, 891, 2994, 2636, 596, 547, 1628, 1950, 2043, 945, 13469, 7184, 609, 1762, 3988, 543, 1796, 6306, 689, 6006, 3197, 1419, 1336, 1369, 9135, 5708, 780, 8893, 8422, 281, 7177, 4400, 21178, 1389, 4762, 26555, 692, 288, 8903, 4729, 31963, 593, 32117, 8082, 543, 30367, 269, 769, 31510, 5436, 18697, 6386, 267, 7526, 4749, 8451, 950, 8723, 2729, 12969, 609, 9058, 4229, 269, 10670, 676, 6998, 1018, 13821, 5397, 707, 16502, 543, 21087, 626, 7567, 267, 607, 891, 3853, 1106, 519, 4493, 585, 1454, 540, 519, 1671, 5224, 12416, 269, 4495, 3964, 267, 6338, 8374, 602, 21279, 741, 27606, 267, 16550, 1312, 5011, 547, 1118, 2352, 5079, 543, 13720, 5837, 21140, 780, 8855, 602, 2500, 4655, 6571, 19329, 2208, 543, 1689, 1851, 1883, 5716, 269, 1306, 707, 3197, 6330, 5051, 30217, 748, 7297, 267, 2154, 873, 547, 556, 24834, 10663, 5892, 4371, 4978, 543, 3082, 1007, 2994, 269, 6270, 13710, 8090, 1683, 3255, 585, 4514, 6278, 609, 4798, 4478, 5539, 267, 10100, 267, 543, 6043, 780, 8893, 9050, 281, 3955, 13512, 1456, 18712, 609, 26135, 692, 3080, 10689, 5658, 540, 3811, 31510, 5436, 18697, 6013, 538, 519, 16471, 540, 10853, 7653, 609, 9735, 2609, 269, 5899, 633, 585, 11466, 1063, 27217, 20825, 543, 9058, 2621, 267, 3850, 1142, 2460, 3160, 2597, 1369, 707, 2239, 13795, 269, 18320, 5230, 513, 1688, 538, 2901, 4287, 4220, 9813, 908, 12415, 540, 707, 3988, 1222, 780, 2414, 3035, 10103, 267, 2226, 15364, 2066, 782, 7516, 540, 707, 9661, 269, 3117, 11962, 4835, 7954, 18791, 20022, 540, 771, 10964, 3971, 267, 7175, 3988, 547, 4628, 23365, 2933, 538, 707, 9112, 1158, 269, 5015, 267, 2721, 4296, 1063, 9583, 19635, 3334, 267, 27283, 5817, 3270, 602, 12927, 22122, 543, 9322, 780, 6962, 281, 29923, 519, 3203, 540, 3474, 534, 5436, 27884, 692, 290, 2761, 532, 9159, 11174, 5708, 26497, 619, 7569, 5578, 995, 12879, 540, 2789, 4632, 267, 1519, 4259, 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 ]

[ 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 623, 27773, 13316, 1315, 27013, 630, 15239, 8566, 21194, 20871, 264, 1315, 15726, 302, 10055, 1464, 543, 3690, 10337, 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, 23558, 593, 13941, 9108, 593, 713, 15116, 4541, 1572, 3047, 256, 1306, 596, 6330, 713, 14542, 8513, 267, 649, 2811, 9599, 547, 3391, 596, 998, 835, 540, 8103, 781, 1034, 7415, 2833, 281, 4742, 513, 3993, 780, 8923, 4063, 602, 713, 3102, 5850, 17648, 1100, 1991, 1702, 540, 1480, 7350, 267, 1514, 8155, 267, 610, 2686, 2853, 269, 1284, 3513, 1491, 621, 689, 519, 4098, 267, 865, 31617, 909, 630, 528, 2864, 267, 588, 1905, 3054, 883, 707, 14361, 264, 543, 1205, 4712, 547, 1451, 2439, 1262, 3721, 476, 272, 281, 4197, 5274, 3115, 3174, 4373, 6524, 11362, 883, 519, 1184, 540, 4742, 513, 3993, 267, 1577, 781, 3382, 930, 4909, 2035, 1384, 265, 2878, 14549, 10334, 5093, 18972, 616, 2713, 7919, 7768, 540, 2281, 267, 8219, 267, 543, 1949, 2324, 1927, 547, 2844, 1272, 563, 265, 2878, 11847, 3174, 5093, 634, 6211, 1184, 676, 799, 3425, 1711, 15556, 568, 1572, 12093, 269, 898, 3322, 519, 12760, 540, 4719, 1570, 689, 1079, 2043, 547, 1106, 513, 1007, 1373, 563, 265, 2878, 29189, 783, 3955, 322, 6847, 5093, 589, 2067, 267, 931, 839, 783, 957, 1063, 1079, 2937, 3425, 5473, 2168, 25055, 267, 3056, 547, 519, 5385, 540, 10285, 2281, 630, 338, 11279, 543, 4212, 6393, 3086, 267, 1577, 781, 2263, 875, 891, 3334, 2097, 1927, 1384, 2162, 5153, 476, 272, 269, 272, 281, 1230, 4003, 692, 3519, 4003, 4386, 950, 513, 14203, 1591, 6992, 3278, 606, 4212, 1591, 1282, 4638, 26697, 269, 901, 2356, 4523, 3330, 519, 4775, 1560, 267, 4481, 1369, 519, 2887, 26508, 13740, 780, 265, 2878, 306, 11279, 19204, 5093, 21277, 1027, 676, 9038, 267, 891, 6263, 2281, 4163, 3368, 540, 519, 4719, 1570, 2877, 585, 17748, 563, 265, 2878, 292, 1375, 8426, 5093, 1234, 548, 1078, 676, 8951, 267, 713, 3677, 1591, 3568, 519, 824, 3368, 540, 519, 2556, 4719, 1570, 563, 265, 2878, 293, 1068, 16478, 5093, 1879, 513, 2582, 14203, 1591, 6707, 11579, 6233, 519, 9018, 4494, 540, 519, 4212, 1591, 267, 4611, 538, 513, 1990, 17789, 1774, 630, 320, 2582, 16052, 539, 11769, 5627, 5027, 689, 1312, 3237, 6393, 1262, 30131, 8881, 8074, 5093, 20351, 26697, 1058, 2141, 581, 13736, 609, 8994, 9844, 267, 2463, 267, 543, 4027, 1996, 16770, 10299, 5563, 630, 306, 30454, 1040, 2422, 3617, 11064, 2409, 610, 5077, 2199, 1072, 8128, 585, 5583, 780, 2162, 5153, 476, 272, 269, 273, 281, 26579, 692, 5475, 3811, 22289, 267, 519, 1990, 17789, 1774, 5956, 12270, 6385, 607, 621, 12599, 1524, 519, 2887, 26508, 8546, 4724, 519, 19786, 780, 265, 2878, 3412, 8690, 566, 5093, 15907, 476, 277, 268, 1015, 2395, 1310, 22289, 267, 519, 21872, 1140, 2851, 3294, 547, 519, 29897, 16298, 267, 16287, 519, 1376, 540, 6379, 563, 265, 2878, 308, 614, 639, 5093, 589, 16757, 1418, 4092, 538, 519, 10652, 6665, 267, 3743, 585, 14637, 543, 5885, 19341, 1646, 2429, 32460, 563, 265, 2878, 5522, 8809, 320, 5093, 589, 10151, 1418, 4646, 1282, 6379, 267, 8220, 519, 3384, 21565, 547, 519, 3993, 781, 18072, 585, 8770, 543, 5135, 3761, 780, 303, 27389, 3599, 3335, 16569, 1472, 476, 2412, 4374, 267, 5258, 883, 1614, 959, 1307, 1562, 269, 4438, 713, 942, 267, 519, 3395, 21565, 786, 1020, 2101, 8219, 267, 12823, 267, 543, 15629, 3252, 780, 1262, 29222, 5517, 5093, 9894, 596, 917, 602, 513, 9176, 4807, 666, 1995, 6640, 19210, 1813, 547, 17441, 2242, 286, 5213, 1405, 5855, 282, 621, 781, 3339, 543, 2356, 7449, 1938, 676, 519, 2034, 959, 30478, 2439, 1262, 3721, 476, 273, 281, 27759, 585, 623, 13873, 11856, 4373, 2026, 519, 6379, 22264, 267, 621, 781, 1898, 547, 5965, 14156, 267, 9308, 267, 543, 2845, 12264, 585, 519, 12625, 540, 519, 4816, 780, 2162, 5153, 476, 273, 269, 272, 281, 8490, 513, 8081, 8416, 692, 20776, 1037, 532, 3054, 609, 6068, 3283, 267, 2828, 267, 543, 3782, 4648, 666, 1118, 513, 1713, 3017, 1282, 713, 3460, 780, 265, 2878, 8512, 1676, 270, 8967, 1787, 5093, 1403, 10858, 267, 4125, 873, 538, 3375, 6194, 3157, 543, 3929, 1489, 563, 265, 2878, 23991, 16840, 5093, 9523, 3377, 609, 2673, 14077, 543, 1628, 3347, 602, 786, 5351, 538, 1126, 3249, 543, 3929, 1134, 5630, 563, 265, 2878, 10890, 3249, 3038, 11107, 5093, 19372, 513, 4276, 609, 6188, 13011, 2103, 267, 4571, 342, 1161, 267, 610, 3119, 1416, 13500, 585, 2834, 2638, 13522, 543, 27514, 1416, 780, 2162, 5153, 476, 273, 269, 273, 281, 715, 4669, 1005, 8447, 2657, 692, 14611, 1555, 513, 7059, 2732, 3638, 538, 5567, 267, 3251, 19872, 267, 543, 4225, 1582, 13282, 547, 2327, 6099, 14774, 543, 19341, 9716, 780, 265, 2878, 301, 9173, 5093, 10312, 593, 2898, 3536, 899, 5613, 267, 5388, 267, 10709, 5946, 267, 543, 2898, 9274, 1247, 12145, 9268, 3688, 543, 14933, 6981, 563, 265, 2878, 19865, 5093, 18918, 538, 9793, 267, 1970, 16151, 2238, 9516, 676, 3782, 7426, 267, 971, 607, 6972, 267, 10649, 267, 610, 10977, 563, 265, 2878, 27916, 543, 4039, 1314, 566, 5093, 26875, 1125, 3207, 267, 9066, 267, 543, 2566, 3146, 706, 1424, 2553, 547, 4383, 9854, 543, 4160, 780, 1262, 3682, 17785, 5093, 6333, 679, 13764, 538, 27638, 2069, 5049, 610, 2228, 2200, 547, 1732, 1174, 4074, 3681, 267, 1928, 2359, 267, 543, 2022, 31691, 6051, 780, 1262, 3721, 476, 274, 281, 21969, 5765, 2659, 17926, 4373, 763, 4090, 748, 8317, 21128, 1107, 4758, 4332, 547, 707, 2370, 22753, 540, 7772, 2439, 2162, 5153, 476, 274, 269, 272, 281, 8534, 543, 24822, 692, 2691, 27373, 1831, 7920, 543, 7928, 267, 621, 781, 2693, 942, 547, 2212, 547, 519, 6413, 610, 2840, 2251, 9744, 780, 265, 2878, 299, 1987, 5093, 2552, 10330, 948, 1847, 519, 4816, 1524, 519, 4332, 12324, 282, 7244, 5751, 267, 18552, 267, 543, 11005, 2553, 666, 8897, 9636, 563, 265, 2878, 22013, 6116, 18169, 5093, 9181, 524, 525, 732, 534, 6810, 630, 290, 5498, 2388, 1070, 21420, 24570, 267, 8623, 1116, 23236, 267, 543, 824, 5079, 609, 707, 3782, 8502, 25656, 563, 265, 2878, 8070, 5937, 601, 6116, 5516, 5093, 25547, 633, 2564, 3007, 267, 20418, 6351, 267, 543, 3929, 1489, 5612, 1739, 6765, 780, 2162, 5153, 476, 274, 269, 273, 281, 20607, 532, 543, 19461, 5516, 692, 17829, 10475, 1101, 8090, 1305, 519, 3942, 585, 15400, 4296, 543, 8823, 780, 265, 2878, 306, 7219, 3562, 4149, 7219, 13555, 5093, 15579, 707, 20169, 1996, 707, 11953, 9221, 547, 3895, 16345, 267, 10038, 741, 2837, 267, 543, 12954, 8023, 26756, 563, 265, 2878, 17954, 770, 16567, 5093, 19372, 14915, 566, 609, 5583, 689, 3782, 4648, 610, 14468, 14915, 566, 29801, 563, 265, 2878, 6124, 9799, 5516, 5093, 6258, 2596, 9882, 13467, 267, 546, 807, 704, 4657, 267, 543, 25695, 2553, 547, 4313, 707, 10867, 780, 1262, 289, 517, 639, 9669, 16001, 265, 19193, 585, 15970, 5049, 610, 11925, 547, 13217, 1983, 543, 6015, 563, 265, 16259, 513, 2922, 12008, 1604, 267, 1286, 10160, 267, 543, 588, 28948, 1354, 8744, 4816, 1753, 563, 265, 18270, 622, 19325, 543, 10027, 880, 1346, 2038, 1296, 1107, 789, 1332, 909, 3728, 2439, 2791, 4312, 1500, 621, 547, 519, 1439, 540, 938, 29882, 5850, 267, 15210, 30226, 518, 256, 29460, 513, 3993, 3340, 9639, 267, 2648, 267, 543, 11428, 269, 5457, 267, 1169, 2385, 16137, 607, 789, 979, 267, 543, 6998, 2055, 568, 513, 1129, 540, 4222, 269, 22737, 713, 6909, 3460, 267, 543, 1810, 1405, 19292, 547, 3914, 856, 952, 596, 991, 2417, 27792, 610, 1489, 780, 16032, 14621, 10484, 314, 7312, 8745, 6540, 310, 9780, 19264, 26513, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 289, 22877, 513, 12624, 257, 538, 519, 2511, 540, 14392, 547, 606, 9813, 3957, 7585, 945, 1175, 15354, 593, 3047, 543, 814, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 782, 519, 2596, 1344, 827, 519, 2168, 543, 1480, 4205, 3238, 269, 1684, 711, 1289, 7585, 606, 9813, 269, 0, 17138, 281, 1215, 547, 5192, 513, 21756, 547, 6145, 1411, 630, 2690, 27258, 2020, 7072, 912, 294, 8724, 519, 15754, 540, 513, 8004, 596, 899, 666, 581, 513, 4101, 2943, 14785, 1995, 269, 901, 3391, 786, 1683, 596, 609, 3102, 3268, 543, 3730, 4388, 547, 948, 2333, 707, 8458, 540, 1818, 1200, 5461, 538, 596, 269, 5457, 267, 1169, 1367, 568, 2189, 282, 3976, 267, 1018, 1568, 585, 835, 1522, 711, 960, 585, 1776, 269, 4793, 1466, 267, 2463, 267, 543, 9758, 15752, 616, 2629, 2429, 713, 1184, 780, 3721, 476, 272, 281, 5700, 23126, 454, 6524, 12394, 547, 4482, 2576, 3116, 267, 1174, 3054, 1101, 269, 10576, 707, 9342, 267, 12755, 267, 4690, 267, 2418, 267, 543, 3853, 269, 9861, 1582, 16477, 2636, 596, 547, 1459, 707, 8076, 1582, 547, 519, 1268, 596, 899, 269, 589, 8004, 3507, 919, 19969, 543, 11413, 811, 982, 21603, 19259, 610, 13587, 527, 995, 3527, 780, 7659, 17785, 281, 14484, 593, 1946, 596, 1616, 713, 1880, 8004, 547, 899, 596, 269, 1772, 621, 1317, 1352, 814, 7907, 602, 13469, 609, 707, 2418, 286, 2107, 798, 596, 3274, 7287, 31070, 286, 11109, 2312, 15752, 5036, 519, 5748, 585, 1022, 2078, 780, 3721, 476, 273, 281, 7994, 519, 9406, 12287, 454, 2005, 781, 1898, 547, 2327, 602, 707, 4606, 616, 25262, 730, 269, 5900, 24219, 519, 4636, 1268, 949, 1291, 547, 29359, 543, 2295, 19874, 269, 27297, 952, 1352, 8843, 2147, 4690, 267, 13000, 1866, 24963, 267, 543, 31825, 16175, 269, 1452, 4191, 5815, 2436, 1352, 1223, 5732, 581, 513, 1434, 6474, 585, 596, 780, 28223, 281, 3680, 4998, 1944, 610, 31561, 1944, 1200, 1759, 9003, 593, 2168, 5920, 269, 6936, 16007, 11710, 689, 3929, 4296, 3710, 2390, 3838, 2833, 267, 8994, 1620, 267, 543, 17356, 780, 3721, 476, 274, 281, 5269, 606, 19461, 17583, 454, 9359, 676, 2502, 538, 13680, 7391, 950, 3255, 8451, 910, 5310, 1282, 1362, 267, 693, 960, 267, 610, 998, 8994, 2828, 269, 13185, 827, 1455, 3584, 971, 607, 12348, 267, 9413, 267, 2835, 267, 610, 1699, 2621, 269, 8058, 9758, 1719, 538, 3478, 547, 917, 1200, 1732, 780, 7659, 17785, 281, 6657, 3742, 6947, 269, 9796, 3007, 547, 1018, 1352, 3081, 267, 2307, 4143, 2055, 267, 543, 4431, 24617, 269, 23227, 908, 18906, 4369, 2982, 2463, 543, 7512, 2417, 6643, 780, 3721, 476, 275, 281, 12706, 11565, 454, 307, 6412, 3029, 519, 4493, 540, 1022, 3811, 2078, 269, 2142, 6325, 267, 5812, 267, 543, 9237, 538, 707, 4205, 609, 1200, 269, 5901, 1476, 573, 1878, 543, 2057, 575, 1601, 31441, 827, 2123, 6927, 269, 3683, 942, 267, 891, 5615, 3715, 3972, 543, 17362, 519, 1259, 585, 4514, 4296, 780, 28223, 281, 898, 3217, 942, 547, 1628, 3972, 267, 865, 1810, 1405, 19060, 1919, 269, 14190, 519, 2078, 547, 1020, 6923, 1510, 2046, 1005, 1200, 883, 13031, 1932, 1454, 1344, 610, 22867, 16349, 569, 780, 3721, 476, 276, 281, 18224, 30151, 454, 18183, 2064, 568, 10694, 1317, 621, 6786, 1582, 12431, 4269, 543, 15657, 269, 19321, 3750, 3346, 1247, 6340, 267, 1796, 7381, 267, 543, 3717, 5693, 269, 1717, 267, 2057, 4947, 1055, 607, 818, 5766, 656, 610, 30107, 995, 269, 1703, 781, 513, 5386, 1899, 1063, 6015, 543, 15483, 1465, 780, 7659, 17785, 281, 25506, 602, 3025, 7959, 8401, 610, 18516, 693, 2053, 269, 5502, 540, 23029, 593, 538, 572, 15247, 267, 1445, 593, 707, 2318, 10305, 543, 7207, 269, 5617, 773, 1324, 538, 3054, 4679, 707, 10171, 540, 1967, 780, 3721, 476, 277, 281, 8058, 2637, 9334, 9877, 1145, 454, 30747, 1145, 4422, 3564, 6071, 2184, 8864, 610, 21806, 269, 2920, 1947, 3343, 2081, 547, 1489, 1200, 9909, 267, 4313, 1200, 1282, 2352, 2053, 267, 543, 8661, 1200, 10781, 269, 1635, 11744, 6568, 543, 8296, 267, 596, 1397, 602, 596, 1871 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8062, 602, 519, 1004, 540, 5101, 7033, 528, 723, 22734, 538, 741, 1279, 6560, 585, 7115, 267, 543, 2152, 602, 723, 818, 17470, 856, 540, 7115, 269, 901, 2272, 4025, 5101, 7033, 528, 1369, 519, 2796, 540, 824, 2022, 12258, 11102, 2829, 267, 15663, 519, 2042, 602, 1034, 540, 873, 723, 5185, 538, 4947, 547, 17680, 1186, 609, 741, 1007, 1922, 895, 22624, 267, 543, 875, 789, 723, 7307, 267, 610, 25314, 534, 3042, 267, 971, 22624, 269, 898, 849, 15244, 519, 4798, 543, 2152, 1369, 519, 7115, 3350, 267, 15663, 875, 891, 723, 733, 756, 3176, 547, 2022, 23949, 11163, 4093, 267, 538, 1880, 519, 1135, 16210, 673, 13253, 602, 3592, 4718, 5101, 7033, 528, 12900, 607, 513, 14323, 1533, 538, 476, 1220, 277, 269, 634, 2835, 20147, 609, 606, 4879, 540, 519, 476, 1220, 278, 12836, 799, 267, 632, 1186, 924, 930, 2022, 3887, 3005, 5208, 267, 4718, 519, 28051, 540, 11180, 3157, 538, 5101, 7033, 528, 267, 543, 799, 6825, 621, 607, 2348, 513, 17321, 2104, 538, 713, 835, 2565, 2463, 563, 6944, 757, 2433, 11872, 593, 715, 32393, 1155, 543, 26538, 4534, 476, 272, 269, 10417, 783, 19047, 4534, 476, 273, 269, 5940, 656, 543, 13636, 20616, 1143, 4534, 476, 274, 269, 11879, 12983, 538, 519, 14412, 26647, 24327, 4534, 476, 275, 269, 634, 6167, 781, 5484, 793, 20616, 1143, 4534, 476, 276, 269, 21846, 547, 14412, 4534, 476, 277, 269, 27519, 543, 18366, 4534, 476, 278, 269, 634, 476, 1220, 278, 5082, 687, 4534, 476, 279, 269, 14891, 3117, 24537, 267, 610, 513, 674, 9229, 3557, 888, 293, 1752, 540, 3194, 454, 8182, 2568, 278, 4139, 9534, 454, 306, 665, 1470, 9483, 20638, 454, 280, 2412, 274, 4200, 4139, 9534, 711, 11992, 9286, 0, 3674, 972, 513, 1761, 2078, 1063, 27441, 543, 824, 11871, 286, 1684, 594, 991, 547, 1205, 13761, 585, 824, 11871, 267, 2147, 547, 1018, 594, 993, 3257, 609, 1250, 17172, 6048, 1169, 476, 274, 3275, 547, 6895, 519, 27441, 563, 27839, 534, 5448, 30279, 636, 568, 513, 23872, 10510, 602, 8129, 689, 519, 6477, 7757, 2281, 630, 17745, 534, 14231, 264, 538, 519, 2960, 269, 4706, 1696, 5735, 568, 1869, 7164, 269, 4634, 519, 1277, 1670, 5169, 540, 519, 14264, 14231, 568, 711, 2312, 543, 3744, 616, 711, 2386, 2436, 14264, 14231, 22132, 689, 519, 13285, 610, 25853, 5160, 269, 9253, 534, 5448, 666, 2049, 16382, 14264, 14231, 616, 1459, 630, 18034, 538, 519, 2960, 610, 3750, 1040, 9253, 534, 5448, 2356, 10953, 689, 513, 22480, 683, 341, 639, 593, 519, 2960, 269, 6884, 267, 27441, 666, 1256, 22132, 689, 4625, 2635, 2960, 269, 9253, 534, 5448, 568, 711, 4448, 609, 519, 824, 2010, 540, 11871, 563, 257, 16485, 513, 16362, 257, 2055, 616, 12943, 676, 14468, 13500, 543, 824, 2564, 4648, 563, 2690, 811, 1344, 827, 4966, 10283, 538, 519, 834, 16485, 513, 16362, 257, 8416, 267, 5225, 3643, 938, 454, 4364, 673, 4966, 2985, 563, 2791, 949, 849, 3643, 938, 16164, 9435, 2073, 585, 15645, 730, 3461, 547, 3461, 1489, 543, 1344, 563, 763, 1344, 3177, 593, 552, 10890, 17072, 568, 2966, 547, 2087, 267, 711, 5372, 267, 519, 2078, 1063, 513, 3461, 543, 1010, 17017, 1378, 10629, 563, 23114, 15360, 4433, 264, 609, 513, 11727, 2564, 3318, 568, 519, 1697, 1797, 585, 23235, 1022, 2564, 2783, 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 ]

[ 0, 295, 1515, 2530, 568, 513, 1455, 1966, 585, 1004, 19951, 269, 1809, 713, 1966, 3587, 513, 1966, 950, 1007, 4552, 13515, 3395, 269, 5221, 1007, 4552, 5170, 547, 1332, 538, 8167, 547, 4552, 2530, 269, 5221, 540, 799, 519, 1297, 540, 24827, 593, 519, 2212, 1281, 711, 2408, 1507, 269, 1809, 952, 519, 4552, 593, 519, 2212, 568, 3478, 10156, 543, 1007, 4552, 568, 711, 3395, 269, 1924, 621, 568, 1271, 547, 2628, 3007, 547, 707, 2732, 607, 1134, 607, 782, 5686, 540, 1095, 18587, 269, 5221, 4552, 2530, 5170, 11179, 1813, 547, 513, 3668, 540, 1697, 6484, 538, 519, 1560, 269, 12192, 661, 267, 13058, 616, 782, 1360, 1271, 585, 4552, 1072, 269, 1924, 1577, 781, 917, 1018, 2186, 540, 2732, 596, 1058, 1491, 547, 1832, 707, 4552, 5394, 543, 2178, 563, 16605, 811, 3940, 538, 519, 1426, 269, 19871, 568, 1164, 538, 4552, 5250, 269, 2334, 568, 1946, 267, 609, 519, 948, 540, 519, 1318, 1426, 267, 596, 1058, 1331, 811, 543, 811, 3940, 563, 6826, 2386, 547, 3548, 1919, 609, 15060, 476, 274, 9761, 7408, 269, 14856, 621, 4679, 1312, 519, 19542, 543, 7509, 540, 519, 4552, 269, 29283, 540, 15060, 476, 274, 9761, 3679, 3688, 899, 29704, 267, 666, 7637, 3282, 267, 30485, 5452, 267, 543, 669, 807, 5452, 786, 581, 6225, 563, 24791, 589, 6981, 666, 581, 6225, 547, 2061, 4552, 2887, 269, 5221, 621, 13515, 519, 1184, 540, 30034, 4552, 269, 2961, 12783, 267, 14274, 267, 5798, 267, 607, 1134, 607, 5144, 267, 10683, 2472, 666, 581, 10057, 607, 2959, 540, 6171, 589, 563, 1103, 6984, 13058, 538, 1426, 666, 849, 581, 6225, 547, 2087, 4552, 1072, 269, 590, 525, 877, 5452, 267, 4212, 1927, 609, 6121, 267, 30288, 267, 890, 320, 267, 10800, 701, 320, 267, 543, 1482, 13058, 616, 1434, 2959, 269, 26451, 782, 891, 1919, 538, 707, 2732, 666, 2569, 519, 1966, 540, 4552, 2530, 269, 0, 17484, 11139, 2249, 519, 1101, 547, 581, 4535, 538, 24811, 538, 1079, 1296, 454, 27288, 5158, 26335, 5800, 19958, 7143, 3699, 519, 2487, 11944, 540, 606, 13155, 10067, 690, 1415, 3794, 3187, 3675, 5674, 607, 1776, 1967, 538, 741, 5726, 3646, 547, 4688, 519, 1502, 636, 2249, 563, 763, 32620, 1840, 547, 519, 7320, 6288, 7153, 713, 3018, 1818, 621, 519, 1101, 540, 922, 2249, 547, 581, 4535, 538, 24811, 538, 1079, 1296, 563, 29820, 2038, 5437, 519, 3675, 5674, 568, 8250, 547, 17055, 26335, 15552, 3600, 29716, 267, 945, 729, 4535, 693, 13812, 26335, 2185, 1296, 3516, 543, 729, 519, 2063, 3811, 3675, 5674, 4535, 3842, 741, 9960, 1982, 563, 2005, 568, 6059, 602, 972, 616, 1152, 476, 5611, 271, 6967, 538, 519, 3552, 1310, 519, 2249, 968, 8873, 539, 689, 14486, 892, 538, 476, 2735, 280, 267, 609, 1100, 2594, 540, 519, 2249, 1373, 8289, 539, 585, 936, 513, 2540, 563, 27288, 5158, 15440, 15887, 324, 17433, 22118, 577, 1767, 621, 729, 4105, 547, 2226, 513, 2635, 27604, 2551, 540, 713, 17866, 543, 13155, 2249, 563, 28490, 649, 666, 9742, 891, 2249, 6707, 267, 972, 1287, 6013, 4126, 602, 693, 930, 942, 538, 519, 2104, 789, 949, 581, 2111, 547, 581, 5950, 1394, 856, 883, 519, 3552, 543, 938, 5726, 3646, 666, 723, 5021, 1764, 3034, 300, 636, 543, 4816, 616, 24428, 538, 519, 6288, 779, 3143, 24856, 26335, 267, 799, 3096, 513, 9258, 4783, 8654, 9744, 547, 17932, 3781, 543, 1554, 267, 16287, 1018, 949, 581, 519, 1101, 942, 538, 27604, 7320, 1686, 602, 713, 2249, 814, 1044, 26870, 538, 713, 1826, 540, 9744, 563, 2108, 17954, 5338, 13155, 2249, 538, 27604, 5054, 568, 5393, 1271, 547, 2226, 14323, 11976, 267, 607, 519, 2338, 540, 891, 2831, 723, 21022, 547, 971, 513, 4110, 602, 789, 949, 14897, 11014, 1510, 6304, 2223, 1767, 11427, 22118, 577, 563, 8138, 2466, 513, 4484, 547, 519, 9375, 1934, 563, 265, 22419, 616, 9415, 547, 946, 741, 2407, 3877, 547, 2327, 4484, 26117, 563, 306, 754, 3377, 4388, 543, 7044, 1934, 454, 265, 22227, 616, 519, 8369, 540, 3988, 543, 798, 711, 2099, 519, 5784, 540, 5240, 1636, 267, 922, 5234, 610, 28930, 919, 269, 24153, 8292, 593, 5240, 1636, 616, 15645, 730, 1354, 8313, 547, 3895, 3407, 267, 3540, 267, 543, 2635, 2146, 7521, 269, 16731, 938, 6085, 4808, 952, 707, 6085, 814, 711, 1044, 9516, 585, 8313, 269, 0, 4692, 6598, 24366, 24110, 476, 272, 268, 273, 454, 4692, 6598, 24366, 267, 9344, 476, 272, 268, 273, 568, 14095, 609, 4712, 3562, 14025, 1344, 543, 3211, 602, 3382, 1312, 1514, 2090, 543, 1893, 6575, 6437, 563, 2467, 616, 476, 279, 6810, 609, 476, 273, 2542, 2238, 630, 12279, 543, 1875, 27395, 264, 543, 476, 272, 1603, 2534, 829, 3446, 538, 1142, 563, 10376, 3184, 814, 1883, 1514, 2090, 267, 7924, 267, 543, 15007, 1445, 267, 543, 519, 7924, 1983, 616, 7396, 693, 519, 5377, 540, 1142, 4976, 563, 9827, 3177, 616, 2542, 543, 1514, 2090, 10526, 267, 543, 476, 273, 6299, 7879, 585, 2653, 16287, 269, 9752, 4388, 267, 10137, 2238, 267, 543, 2347, 2626, 1883, 3769, 563, 268, 8791, 476, 272, 281, 7731, 32018, 1299, 13786, 4850, 282, 7991, 19928, 1903, 454, 268, 8791, 476, 273, 281, 16390, 282, 9177, 454, 268, 8791, 476, 274, 281, 23089, 1299, 15638, 282, 26492, 454, 268, 8791, 476, 275, 281, 5020, 18963, 282, 7731, 3778, 454, 268, 8791, 476, 276, 281, 7991, 29844, 282, 18831, 454, 268, 8791, 476, 277, 281, 15822, 23089, 282, 19715, 1299, 8693, 454, 268, 8791, 476, 278, 281, 22868, 1299, 16811, 282, 5253, 1299, 1849, 5847, 454, 268, 8791, 476, 279, 281, 13488, 282, 18815, 1299, 17125, 614, 454, 3199, 3817, 1519, 606, 2626, 1883, 563, 268, 8191, 2433, 4563, 14315, 267, 7812, 0, 763, 4993, 3557, 14924, 8189, 814, 606, 4316, 547, 2149, 476, 280, 14143, 540, 1930, 2230, 543, 6542, 875, 2470, 2861, 2994, 666, 3927, 2232, 2916, 1689, 269, 634, 10243, 786, 6430, 519, 12556, 540, 513, 26862, 7345, 12506, 1612, 4897, 538, 8738, 1782, 877, 267, 1175, 5045, 540, 5842, 12770, 4139, 23076, 269, 932, 20149, 609, 5883, 1533, 20352, 3338, 585, 519, 1857, 1719, 593, 1612, 26118, 11658, 1996, 8027, 267, 519, 10243, 814, 835, 2312, 3903, 585, 519, 1655, 946, 540, 713, 3959, 281, 1118, 621, 513, 2470, 2861, 6288, 585, 1857, 18399, 563, 763, 4960, 547, 2149, 713, 20105, 540, 519, 5842, 12770, 7345, 779, 32132, 543, 1711, 513, 1857, 6288, 538, 519, 1164, 1790, 878, 539, 7345, 9351, 568, 513, 2899, 2987, 8584, 2000, 604, 8135, 4316, 269, 1879, 519, 10243, 5342, 922, 5398, 11565, 20126, 10495, 538, 4728, 476, 1001, 279, 267, 606, 11566, 476, 9834, 2600, 540, 1857, 8292, 6829, 1489, 585, 968, 10139, 633, 16351, 3096, 892, 899, 513, 6237, 6288, 593, 713, 2244, 269, 589, 2470, 2861, 6288, 2059, 519, 7345, 568, 5812, 609, 1533, 543, 2199, 3609, 3853, 267, 1519, 6043, 547, 2916, 1689, 543, 5885, 1007, 7320, 9249, 269, 898, 786, 849, 1683, 513, 4686, 4062, 540, 1930, 2230, 538, 713, 4683, 1858, 563, 288, 1857, 17376, 10675, 11450, 814, 15527, 547, 713, 4316, 609, 513, 20019, 14323, 11556, 547, 1628, 513, 2470, 2861, 6288, 269, 8738, 1782, 877, 1744, 648, 1467, 5244, 786, 1711, 513, 2631, 540, 1747, 2059, 519, 1216, 12506, 585, 18883, 267, 2146, 11018, 543, 2069, 1644, 547, 5065, 2371, 543, 7320, 602, 786, 1402, 3634, 519, 2244, 269, 898, 9727, 875, 2067, 2934, 666, 581, 1031, 547, 8396, 4262, 1377, 4473, 538, 606, 1858, 602, 568, 7925, 547, 1713, 2804, 9271, 1813, 547, 2916, 1689, 2443, 543, 519, 1374, 814, 519, 2702, 547, 9148, 2104, 9542, 2994, 269, 634, 6288, 786, 581, 30396, 9112, 543, 9738, 1210, 1858, 17888, 13848, 267, 865, 938, 2199, 13781, 17993, 269, 5047, 267, 4540, 1857, 9886, 7482, 543, 1713, 4357, 7418, 1118, 2679, 543, 4509, 519, 6288, 1942, 16250, 23018, 585, 1857, 8041, 563, 763, 2640, 540, 4509, 1930, 2230, 1369, 4683, 2127, 616, 1134, 3964, 269, 8738, 1782, 877, 1744, 648, 1467, 5244, 786, 2285, 7264, 267, 8436, 543, 519, 4478, 13781, 513, 1747, 547, 556, 6618, 609, 2470, 267, 543, 3885, 513, 1747, 585, 1453, 547, 1404, 543, 2972, 7320, 269, 6489, 31162, 325, 619, 267, 737, 2572, 584, 325, 619, 543, 31614, 5474, 786, 2972, 2922, 32132, 1569, 547, 519, 5842, 12770, 7345, 1317, 713, 6288, 8591, 513, 6843, 547, 519, 7345, 4826, 20417, 269, 898, 786, 849, 2087, 513, 3296, 540, 519, 5842, 12770, 7345, 20417, 267, 799, 786, 835, 1554, 1683, 513, 476, 4335, 28902, 6972, 543, 15203, 2619, 1472, 519, 3003, 7345, 269, 1715, 13009, 4296, 786, 1118, 31610, 543, 6972, 547, 960, 267, 2836, 30221, 543, 25708, 10930, 543, 811, 3015, 563, 5278, 723, 1572, 585, 1776, 15678, 593, 713, 3959, 3079, 540, 513, 2470, 6288, 269, 8750, 3512, 958, 267, 1533, 2244, 1058, 4225, 1857, 946, 267, 711, 4357, 5010, 13055, 269, 1703, 616, 2907, 476, 1321, 8738, 1782, 877, 20730, 609, 5176, 476, 275, 267, 1822, 11623, 538, 519, 7525, 1858, 269, 5244, 2244, 568, 513, 2539, 16151, 10697, 547, 9718, 689, 8375, 1216, 2157, 267, 543, 8738, 1782, 877, 1744, 648, 1467, 5244, 1223, 948, 10110, 4430, 1216, 1282, 4049, 4764, 28323, 543, 23864, 8928, 2443, 2417, 7863, 6196, 645, 904, 327, 648, 23681, 267, 15231, 3601, 543, 938, 1726, 25979, 7345, 20417, 563, 2026, 4872, 2429, 938, 3148, 6385, 1628, 3606, 8027, 547, 2743, 519, 1699, 991, 267, 649, 1590, 849, 1039, 7850, 11614, 543, 1930, 2230, 547, 3666, 519, 2799, 5860, 269, 8307, 476, 272, 2600, 540, 519, 645, 904, 728, 2244, 538, 713, 3148, 3788, 1930, 2230, 269, 6145, 1082, 824, 4993, 4872, 3257, 519, 1318, 3364, 267, 8738, 1782, 877, 568, 21365, 519, 8027, 6433, 676, 8383, 908, 1713, 1007, 8027, 4070, 269, 769, 3257, 865, 267, 2705, 267, 519, 1480, 991, 585, 1930, 2230, 3587, 1256, 811, 1271, 269, 901, 2250, 5130, 267, 938, 4975, 7027, 9516, 513, 4937, 4643, 602, 26195, 2888, 476, 2537, 260, 2551, 2208, 2282, 7841, 10473, 676, 476, 14225, 271, 269, 4014, 649, 4076, 3144, 3268, 547, 1524, 22271, 821, 13980, 540, 938, 7345, 12506, 4853, 3096, 543, 1256, 1698, 5010, 6989, 268, 19327, 268, 7806, 3930, 1141, 9039, 5892, 11478, 267, 1713, 5604, 543, 15678, 1646, 568, 25093, 269, 10738, 1175, 513, 10116, 13304, 540, 713, 1612, 4897, 267, 9365, 779, 744, 1529, 639, 5691, 4641, 6498, 786, 882, 11229, 689, 9093, 5979, 5244, 883, 476, 278, 6858, 267, 1822, 4009, 3952, 540, 1007, 5604, 2230, 1985, 1032, 269, 8738, 1782, 877, 1744, 648, 1467, 5244, 10742, 606, 1271, 2146, 991, 585, 1930, 2230, 563, 763, 7662, 585, 1788, 18747, 32195, 593, 5147, 476, 2918, 269, 769, 519, 3275, 6619, 267, 519, 3557, 14924, 8189, 786, 2253, 922, 1857, 3375, 6194, 1184, 269, 3767, 568, 519, 942, 547, 12167, 563, 5591, 824, 6069, 946, 585, 713, 3959, 2488, 519, 3872, 267, 1857, 1569, 267, 18883, 543, 2825, 2640, 602, 8738, 1782, 877, 1744, 648, 1467, 5244, 2488, 269, 769, 606, 1858, 1141, 2244, 568, 865, 3908, 267, 519, 2640, 540, 513, 2470, 2861, 6288, 616, 967, 529, 1584, 762, 269, 901, 1612, 4897, 568, 23679, 14018, 585, 6288, 1633, 1317, 621, 568, 11262, 676, 519, 1857, 267, 11658, 1996, 8027, 267, 543, 4092, 593, 938, 4190, 7345, 269, 8738, 1782, 877, 1744, 648, 1467, 5244, 4564, 519, 5207, 543, 1655, 946, 585, 713, 4686, 1930, 2230, 538, 606, 5051, 10053, 3148, 563, 10387, 1176, 16047, 568, 13030, 25650, 540, 519, 4975, 540, 8738, 1782, 877, 269, 0, 268, 1548, 4523, 950, 513, 9797, 9901, 1843, 18953, 513, 11874, 9901, 1843, 888, 268, 1548, 616, 476, 274, 2081, 606, 1843, 666, 581, 9901, 888, 268, 1215, 798, 596, 5279, 606, 1843, 888, 268, 3657, 3425, 9797, 610, 11874, 9901, 888, 268, 1548, 4523, 950, 513, 11874, 9901, 1843, 18953, 513, 9243, 1843, 888, 268, 1548, 616, 519, 1079, 2010, 540, 12123, 2409, 888, 268, 1548, 568, 519, 1184, 540, 12123, 606, 1843, 1510, 15700, 621, 888, 268, 1215, 666, 10997, 581, 11843, 888, 268, 1215, 1281, 606, 1843, 1831, 9797, 610, 11874, 9901, 888, 268, 1548, 1281, 621, 1611, 952, 606, 1843, 19299, 513, 2318, 5279, 888, 268, 1548, 3123, 12123, 540, 606, 1843, 888, 268, 1215, 798, 596, 5279, 606, 1843, 2493, 1227, 888, 268, 1548, 4523, 547, 519, 5279, 4503, 676, 606, 1843, 888, 268, 1772, 5068, 9797, 610, 11874, 9901 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1004, 798, 711, 21028, 4568, 607, 513, 3075, 610, 949, 711, 1174, 875, 621, 25998, 609, 824, 5061, 267, 1519, 31534, 563, 19102, 2084, 519, 1377, 540, 1620, 540, 14453, 5061, 666, 581, 6225, 585, 2043, 267, 3885, 267, 543, 519, 2898, 2146, 563, 7617, 3077, 5304, 1058, 14997, 11914, 24391, 543, 2659, 7991, 2238, 1445, 593, 888, 27039, 593, 519, 2115, 540, 513, 1808, 2146, 267, 3292, 1223, 1445, 593, 912, 268, 14780, 2358, 4656, 538, 519, 2898, 2146, 454, 268, 21278, 1344, 4481, 547, 840, 543, 2022, 1606, 29864, 2550, 267, 610, 1346, 7092, 689, 2175, 899, 4160, 267, 2566, 267, 20026, 543, 5312, 1928, 454, 268, 25417, 3237, 547, 1909, 21524, 601, 2318, 6646, 946, 543, 8925, 547, 6646, 609, 741, 1762, 1453, 454, 268, 11554, 609, 23242, 15731, 610, 28737, 547, 13599, 267, 3895, 1072, 543, 8171, 267, 543, 2327, 972, 568, 513, 4143, 3609, 538, 1747, 454, 268, 3447, 908, 4587, 1004, 630, 5408, 519, 15850, 267, 4033, 24391, 543, 24771, 4658, 32367, 994, 268, 11554, 609, 3119, 1072, 1416, 7426, 547, 3895, 543, 1711, 11444, 547, 4244, 543, 14911, 1928, 2359, 11257, 454, 268, 1975, 15105, 4656, 827, 2126, 11444, 585, 1004, 945, 949, 581, 8200, 563, 1692, 798, 14997, 11914, 24391, 543, 2659, 7991, 2238, 948, 547, 2061, 4568, 543, 3075, 5829, 2152, 888, 6624, 26880, 949, 3494, 31534, 616, 2922, 1317, 789, 616, 3656, 5061, 267, 543, 602, 2564, 5583, 666, 581, 4553, 29101, 269, 1717, 267, 621, 568, 14453, 5061, 267, 711, 10363, 5061, 267, 602, 616, 519, 1034, 2693, 547, 581, 3238, 538, 513, 3075, 13251, 2669, 538, 5245, 269, 275, 454, 763, 1875, 25535, 8282, 946, 540, 14453, 6527, 666, 1331, 912, 268, 14171, 811, 982, 814, 1044, 11311, 454, 268, 14171, 6646, 538, 513, 1114, 1259, 982, 814, 1044, 11311, 454, 268, 26157, 6646, 609, 824, 5061, 971, 607, 4568, 454, 268, 19457, 1095, 18587, 609, 2828, 610, 1920, 563, 15239, 25535, 8282, 946, 540, 6646, 666, 581, 20982, 1107, 971, 607, 950, 1004, 1491, 513, 14453, 3075, 585, 513, 552, 25045, 7595, 610, 824, 28400, 5562, 1198, 563, 13828, 23776, 1928, 26973, 619, 543, 22904, 17377, 32581, 1149, 616, 3622, 1152, 5227, 585, 2110, 3856, 946, 267, 855, 789, 616, 1373, 1031, 676, 1082, 26880, 936, 3476, 5712, 540, 942, 563, 2005, 779, 4105, 602, 26880, 723, 513, 2312, 1620, 540, 519, 4220, 543, 2640, 540, 1210, 891, 22925, 6527, 269, 4658, 991, 547, 581, 6462, 547, 3970, 741, 946, 267, 1519, 998, 1569, 547, 4244, 543, 14911, 11257, 607, 851, 540, 741, 1928, 2359, 4640, 563, 21982, 2962, 593, 14997, 11914, 24391, 666, 948, 676, 2810, 912, 268, 17607, 827, 519, 1761, 28746, 540, 930, 14453, 5061, 454, 268, 4197, 1875, 25535, 8282, 946, 454, 268, 9977, 779, 6015, 547, 1909, 21524, 601, 2318, 7180, 1472, 6646, 946, 547, 741, 3214, 454, 268, 11310, 827, 14911, 543, 4244, 11257, 454, 268, 19662, 585, 2146, 2818, 547, 1451, 1928, 2359, 2994, 267, 610, 2553, 971, 607, 9066, 267, 11005, 267, 543, 11009, 563, 1692, 2500, 568, 519, 14997, 11914, 24391, 543, 2659, 7991, 2534, 888, 1805, 21880, 28517, 519, 2146, 779, 1702, 593, 519, 4220, 543, 2640, 540, 14453, 5061, 267, 1519, 4244, 543, 14911, 11257, 267, 666, 581, 606, 2500, 1259, 547, 2087, 513, 2039, 540, 1072, 4093, 2146, 17253, 563, 306, 22066, 6604, 11044, 543, 3292, 723, 3254, 602, 513, 3102, 1935, 1210, 2789, 2994, 5012, 547, 519, 6574, 1689, 563, 1607, 1223, 1611, 9256, 513, 2039, 540, 2238, 267, 971, 607, 513, 3376, 2146, 4656, 5859, 543, 5924, 513, 6098, 1344, 5859, 585, 1164, 16151, 22097, 267, 607, 1134, 607, 2146, 11925, 602, 2333, 1702, 827, 543, 1983, 538, 4244, 11257, 971, 607, 11005, 543, 11009, 267, 610, 2635, 19824, 1519, 2732, 543, 3635, 269, 0, 4692, 513, 2635, 2732, 10804, 707, 14438, 286, 4340, 547, 2487, 1382, 267, 713, 568, 1034, 2693, 519, 2013, 269, 1284, 4076, 1634, 585, 1296, 602, 11326, 1164, 538, 2635, 9600, 630, 3697, 14462, 3282, 543, 10808, 1070, 8324, 267, 6886, 267, 543, 14434, 630, 5228, 3536, 899, 5388, 267, 5613, 267, 543, 11922, 23599, 264, 6923, 10804, 1272, 269, 901, 568, 519, 1482, 1826, 540, 2732, 1336, 538, 1004, 2713, 538, 519, 968, 19990, 10851, 5608, 945, 616, 1034, 2693, 547, 2661, 936, 476, 1911, 1296, 563, 1692, 1082, 1296, 666, 2635, 4189, 1039, 547, 707, 1272, 888, 288, 2487, 1353, 3370, 538, 12813, 5308, 6925, 543, 5342, 676, 21785, 3173, 6743, 693, 8192, 1689, 547, 8831, 14438, 269, 634, 1353, 1336, 602, 513, 8770, 1673, 1619, 2732, 267, 2147, 547, 519, 968, 8469, 10882, 2732, 892, 610, 519, 9791, 18630, 2732, 267, 1223, 8831, 1272, 676, 476, 279, 547, 476, 1724, 1296, 267, 4470, 593, 2085, 563, 763, 4681, 616, 1759, 593, 513, 2203, 519, 3173, 2813, 1210, 1239, 689, 519, 6820, 645, 6324, 523, 540, 8376, 5530, 267, 799, 3769, 5215, 540, 5171, 689, 476, 14225, 2477, 269, 634, 1353, 779, 2203, 729, 1031, 547, 7447, 1018, 1131, 4755, 547, 513, 1268, 779, 1560, 543, 14438, 952, 789, 23564, 689, 513, 3810, 9268, 968, 20598, 5375, 2732, 892, 547, 513, 8902, 2732, 602, 5059, 593, 2898, 3536, 563, 763, 2010, 540, 8192, 2242, 602, 941, 1336, 547, 723, 519, 6574, 1764, 593, 15325, 3769, 13302, 4616, 540, 2699, 5779, 267, 16600, 3491, 947, 539, 3536, 267, 543, 24494, 3536, 267, 538, 3870, 540, 4189, 811, 5388, 267, 5613, 267, 22053, 267, 2898, 9274, 267, 3165, 543, 10808, 563, 2080, 616, 930, 1883, 4681, 827, 11326, 602, 8831, 1004, 779, 2729, 267, 2687, 547, 519, 1353, 2164, 912, 1700, 634, 4505, 513, 1268, 3792, 1206, 513, 2635, 2732, 267, 519, 1732, 269, 1280, 1383, 267, 952, 513, 4807, 3459, 547, 1246, 606, 968, 9953, 2711, 892, 8770, 1673, 1619, 2732, 1472, 2085, 476, 736, 267, 1352, 1223, 5732, 1039, 827, 476, 1015, 1296, 547, 1200, 1272, 563, 1700, 9093, 3100, 547, 4324, 1256, 811, 689, 4758, 909, 22938, 1426, 543, 4189, 1732, 269, 634, 1353, 1336, 602, 952, 513, 812, 3323, 4189, 5688, 958, 693, 2085, 476, 736, 267, 646, 1223, 1039, 1472, 476, 1724, 1296, 547, 1010, 14438, 563, 1700, 1403, 1762, 4079, 17696, 1732, 267, 855, 711, 5688, 958, 267, 789, 1223, 1869, 2661, 827, 3670, 547, 5722, 1296, 3476, 563, 1700, 4014, 621, 568, 4998, 547, 723, 513, 7059, 543, 796, 15263, 539, 2732, 2429, 707, 1272, 267, 621, 568, 2760, 1932, 3735, 547, 1376, 269, 634, 1353, 2164, 2303, 602, 1256, 952, 4587, 4079, 1705, 711, 1376, 1739, 513, 11335, 2732, 2394, 1472, 2085, 476, 2568, 267, 789, 1223, 1869, 2333, 741, 1272, 19104, 676, 5216, 547, 8370, 1296, 563, 1700, 4634, 1004, 538, 741, 476, 3199, 338, 945, 3323, 4189, 1447, 5779, 543, 811, 2030, 3940, 543, 824, 14312, 3536, 1223, 4324, 689, 606, 2333, 538, 1272, 19104, 540, 811, 982, 1614, 1296, 563, 1432, 621, 1797, 454, 8253, 1152, 666, 513, 8902, 2732, 3895, 15325, 267, 621, 666, 849, 2087, 519, 2298, 540, 707, 1272, 676, 4227, 519, 1981, 540, 5312, 3676, 267, 971, 607, 2295, 2068, 267, 8377, 267, 2860, 267, 3987, 543, 12110, 269, 1403, 596, 2461, 4867, 1739, 513, 3044, 7262, 2732, 267, 8458, 616, 707, 2732, 3884, 1406, 6099, 543, 596, 666, 6488, 547, 1118, 930, 2242, 563, 288, 6405, 1383, 281, 1152, 827, 476, 1015, 260, 540, 5375, 4079, 8532, 519, 5227, 3232, 2179, 540, 4195, 5613, 543, 5388, 630, 18314, 547, 1614, 32122, 540, 1142, 1916, 7212, 10365, 270, 5586, 6979, 616, 3810, 5227, 1813, 547, 741, 2640, 585, 8937, 1072, 267, 2295, 1072, 543, 2597, 2359, 267, 1082, 1004, 798, 711, 8532, 1022, 1826, 540, 21167, 593, 513, 2834, 4493, 269, 6271, 1966, 568, 602, 476, 4817, 260, 540, 5375, 619, 3111, 547, 2743, 519, 3804, 540, 4189, 2614, 2898, 9274, 8957, 15568, 9274, 269, 898, 568, 5227, 602, 693, 2547, 3368, 540, 707, 23611, 581, 476, 1911, 260, 2898, 10286, 267, 799, 568, 2362, 538, 6775, 543, 824, 1898, 5567, 563, 9288, 520, 4616, 538, 5375, 2477, 568, 1776, 1966, 563, 15575, 1845, 609, 519, 5207, 3044, 540, 2713, 4043, 547, 8532, 519, 1034, 5779, 267, 855, 4189, 513, 2603, 540, 5779, 630, 18034, 2699, 5779, 543, 9268, 5779, 264, 568, 5532, 547, 1072, 2042, 971, 607, 1826, 476, 272, 3987, 269, 476, 273, 267, 18337, 2295, 2068, 267, 8482, 267, 543, 1978, 11871, 267, 1519, 897, 28030, 2860, 563, 19522, 585, 513, 15325, 2732, 454, 1432, 1058, 594, 3548, 547, 10804, 1250, 1272, 286, 1403, 596, 1616, 547, 1039, 5216, 547, 12964, 1296, 547, 707, 1272, 267, 1246, 513, 15866, 11335, 30816, 2732, 269, 634, 19692, 596, 798, 713, 267, 519, 1732, 585, 707, 1072, 267, 1519, 538, 2025, 2085, 563, 2080, 616, 930, 4388, 585, 4189, 538, 513, 1259, 602, 786, 8831, 707, 14438, 912, 1700, 2422, 1434, 2298, 14462, 3282, 607, 707, 1292, 5986, 3282, 267, 538, 1840, 547, 4189, 522, 1176, 3165, 267, 10808, 543, 5452, 269, 23423, 15568, 10448, 11041, 267, 1034, 855, 1562, 543, 5768, 25978, 269, 3680, 3536, 5627, 7250, 730, 543, 1098, 9600, 563, 1700, 19130, 909, 593, 3536, 1164, 538, 14434, 267, 971, 607, 4195, 5388, 267, 21364, 16719, 267, 18717, 267, 19637, 267, 13342, 267, 15708, 267, 11922, 543, 14546, 563, 1700, 3117, 2541, 7899, 540, 20249, 267, 2523, 538, 5388, 267, 5613, 267, 476, 1911, 260, 2898, 9274, 267, 22053, 543, 10808, 563, 1700, 23423, 707, 6981, 540, 2699, 5779, 543, 9268, 16469, 267, 2523, 6671, 14132, 267, 3905, 5243, 267, 2892, 9564, 267, 23174, 16469, 543, 1642, 328, 16469, 563, 1700, 5410, 811, 2030, 2861, 5946, 547, 707, 6980, 267, 971, 607, 22053, 630, 701, 553, 267, 7105, 701, 553, 543, 21378, 2812, 1070, 2898, 9274, 630, 638, 29184, 267, 28113, 543, 11369, 342, 17742, 1070, 10808, 543, 5452, 630, 19789, 22756, 267, 30646, 267, 890, 322, 753, 267, 30011, 5452, 543, 22481, 267, 16537, 778, 3930, 1916, 1700, 3680, 3536, 609, 3773, 4006, 267, 971, 607, 28916, 267, 24799, 267, 24494, 10683, 2472, 543, 7091, 553, 269, 5502, 267, 3548, 4829, 267, 513, 2370, 6151, 9932, 610, 4158, 10217, 547, 14183, 707, 6653, 5694, 563, 1700, 3117, 2541, 10683, 2472, 538, 20208, 267, 2523, 952, 789, 2014, 596, 9667, 2042, 269, 8838, 585, 5667, 11548, 2989, 15446, 584, 1206, 543, 1183, 325, 597, 267, 607, 1134, 607, 9907, 29380, 525, 538, 1507, 10627, 2583, 267, 547, 1205, 519, 1034, 2640, 563, 15307, 26305, 1764, 540, 1426, 5079, 593, 1272, 19104, 281, 589, 9781, 1353, 0, 298, 1329, 6614, 10202, 16738, 8105, 568, 513, 1826, 540, 1507, 8397, 9269, 556, 2130, 538, 15057, 602, 6212, 593, 1210, 2199, 14981, 543, 2757, 2409, 547, 6318, 17944, 585, 1312, 5779, 543, 4212, 2504, 269, 634, 2165, 968, 298, 1329, 6614, 10202, 892, 568, 513, 4210, 1695, 8270, 2262, 602, 1797, 968, 29985, 892, 610, 968, 785, 4246, 9731, 1103, 918, 1329, 6614, 10202, 16738, 8105, 267, 519, 1739, 3268, 616, 4122, 4553, 912, 268, 6601, 539, 5542, 281, 7994, 6805, 9269, 14981, 971, 607, 519, 15057, 4400, 16816, 3363, 610, 519, 4824, 918, 1329, 6614, 10202, 14981, 602, 616, 1134, 9862, 547, 519, 2199, 1604, 543, 616, 3810, 11259, 547, 3676, 563, 268, 24184, 281, 12706, 2241, 543, 1970, 21057, 9269, 1071, 3591, 610, 1683, 1561, 14876, 8027, 971, 607, 513, 535, 10642, 1858, 896, 513, 3529, 563, 268, 30839, 281, 3629, 513, 7059, 2732, 540, 10051, 3653, 267, 7786, 267, 543, 3039, 10664, 547, 7110, 5010, 20555, 563, 268, 2657, 2359, 281, 25956, 15324, 3800, 971, 607, 2834, 632, 11988, 532, 543, 12674, 547, 1832, 519, 17944, 2635, 563, 268, 16373, 281, 590, 749, 519, 5798, 543, 5779, 538, 2199, 6990, 610, 2047, 547, 5561, 563, 763, 2640, 540, 918, 1329, 6614, 10202, 16738, 8105, 1331, 4389, 3790, 267, 2799, 1426, 3354, 267, 543, 519, 11091, 540, 2757, 1702, 543, 2199, 14981, 269, 1635, 5009, 918, 1329, 6614, 10202, 16738, 8105, 267, 1507, 8397, 6705, 538, 15057, 666, 2087, 741, 24454, 543, 3565, 547, 519, 2208, 540, 519, 2197, 779, 16738, 2872, 269, 0, 5804, 6196, 2296, 8845, 553, 12462, 15161, 689, 8581, 267, 9721, 5443, 25257, 689, 17623, 5824, 8845, 328, 269, 25334, 4601, 519, 2495, 729, 834, 12827, 1055, 267, 856, 4751, 2580, 1644, 547, 1085, 334, 603, 630, 1729, 2759, 1055, 264, 543, 1085, 334, 924 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1198, 593, 707, 2298, 540, 1272, 563, 2690, 930, 1004, 267, 13465, 949, 1175, 581, 1945, 596, 798, 1310, 960, 610, 593, 519, 15964, 543, 585, 1866, 621, 949, 581, 741, 2407, 6066, 13567, 267, 855, 711, 3025, 568, 3222, 540, 519, 2640, 563, 3383, 1018, 616, 789, 286, 7327, 532, 568, 513, 1390, 1259, 547, 1577, 1055, 9252, 543, 814, 513, 3099, 540, 2168, 267, 5626, 543, 3929, 2360, 593, 519, 1560, 563, 268, 7327, 532, 666, 2569, 2566, 543, 2087, 707, 7099, 269, 3502, 1152, 602, 267, 855, 13465, 568, 1134, 1634, 547, 2087, 707, 6015, 543, 27907, 563, 268, 7327, 532, 666, 723, 513, 2462, 1198, 593, 707, 2168, 2783, 607, 1134, 269, 898, 781, 513, 1390, 1259, 547, 3251, 9308, 3514, 267, 607, 621, 3322, 1210, 707, 9641, 543, 2295, 267, 799, 666, 2087, 707, 7244, 563, 4149, 15781, 2337, 2539, 1973, 2604, 543, 7794, 519, 4761, 1062, 269, 7327, 532, 849, 2337, 538, 519, 1646, 540, 5179, 1852, 543, 11558, 267, 543, 2487, 2090, 723, 3254, 602, 621, 10607, 14715, 8647, 563, 268, 7327, 532, 543, 669, 13589, 616, 1419, 1031, 607, 513, 30973, 1907, 538, 2069, 543, 2866, 3871, 563, 268, 2991, 513, 1434, 5152, 267, 707, 1560, 7472, 1434, 10399, 1572, 1439, 6973, 1231, 267, 799, 19060, 1472, 707, 1560, 547, 1711, 513, 2067, 1164, 269, 898, 568, 4010, 519, 1482, 1198, 950, 596, 3548, 513, 3046, 540, 10217, 269, 634, 1434, 3377, 609, 13465, 568, 602, 596, 1810, 1405, 2744, 8477, 2336, 268, 7327, 532, 666, 849, 2087, 513, 1268, 781, 2631, 540, 11733, 543, 1560, 14302, 563, 268, 1403, 596, 1039, 15472, 547, 713, 267, 519, 1657, 2640, 616, 7494, 2799, 2336, 291, 3496, 666, 849, 3142, 811, 2640, 547, 519, 3349, 267, 971, 607, 4887, 2208, 538, 1978, 2127, 267, 9025, 9283, 267, 543, 1454, 811, 563, 7212, 519, 2168, 1764, 540, 2834, 13465, 568, 711, 1134, 1634, 267, 13465, 607, 606, 2534, 568, 8471, 538, 782, 7239, 267, 543, 519, 17105, 8560, 540, 1781, 15077, 543, 13465, 19194, 538, 2487, 1296, 5267, 602, 519, 2640, 540, 2348, 513, 5152, 693, 2295, 789, 666, 3274, 581, 11368, 883, 938, 20369, 3832, 563, 763, 2168, 2360, 267, 1247, 3833, 10565, 267, 616, 2731, 1175, 519, 4098, 269, 7327, 532, 3123, 8788, 585, 824, 4128, 602, 723, 513, 1447, 6211, 4493, 563, 3383, 979, 6619, 267, 1832, 707, 2247, 543, 1560, 2635, 543, 1376, 13465, 563, 32098, 2813, 543, 13859, 676, 281, 2974, 318, 21158, 630, 16129, 28709, 5240, 12467, 23330, 320, 5240, 568, 513, 1863, 547, 946, 3760, 543, 519, 5784, 543, 8369, 6829, 23954, 616, 9003, 1346, 540, 519, 2278, 543, 798, 711, 2099, 267, 2992, 610, 2769, 519, 5784, 540, 28709, 5240, 269, 7102, 270, 718, 2854, 1543, 543, 2592, 10268, 616, 3177, 676, 519, 5816, 3455, 270, 10461, 267, 2408, 23954, 607, 11643, 676, 519, 5816, 3455, 270, 10461, 543, 616, 796, 539, 1243, 676, 28709, 5240, 269, 28709, 5240, 1281, 711, 9844, 547, 6862, 1281, 621, 7873, 821, 519, 20171, 540, 1022, 1543, 602, 3423, 919, 519, 2924, 630, 10175, 519, 5299, 23412, 264, 540, 1022, 3791, 5428, 267, 6862, 1543, 602, 949, 30279, 267, 954, 620, 807, 267, 1022, 4984, 267, 6803, 1895, 267, 3919, 267, 4008, 267, 2754, 267, 610, 1367, 269, 28709, 5240, 2417, 3467, 1281, 711, 7873, 821, 519, 946, 540, 938, 3760, 585, 519, 5301, 8716, 270, 754, 832, 532, 13842, 4633, 267, 18670, 540, 1480, 2924, 543, 5924, 19039, 1734, 540, 513, 1219, 600, 2218, 2470, 269, 1403, 519, 1543, 8659, 23954, 3423, 919, 1022, 540, 707, 2924, 267, 1519, 1346, 540, 10677, 267, 543, 5924, 3423, 919, 1022, 519, 1657, 5018, 2188, 267, 596, 616, 16761, 547, 5612, 711, 1518, 721, 1210, 3842, 519, 1739, 4757, 2232, 1766, 534, 31974, 7721, 4156, 263, 520, 264, 641, 5028, 2593, 543, 5924, 1867, 519, 2376, 1210, 519, 2139, 8989, 10342, 3710, 883, 938, 25957, 6423, 2859, 0, 763, 25954, 540, 10034, 538, 2342, 1282, 519, 20870, 2540, 666, 581, 11911, 547, 519, 11931, 7771, 540, 32540, 626, 1062, 543, 519, 2208, 538, 3310, 540, 519, 1647, 1362, 538, 519, 1106, 540, 22278, 543, 561, 3581, 269, 634, 22278, 2933, 1185, 1044, 9244, 10353, 547, 2804, 6042, 602, 941, 538, 1747, 693, 519, 942, 799, 11658, 741, 2238, 269, 634, 22278, 267, 9755, 543, 1710, 534, 857, 619, 1131, 2744, 519, 5191, 547, 581, 2111, 547, 27459, 1047, 741, 1378, 6990, 269, 634, 2804, 543, 2797, 22624, 602, 1131, 581, 6591, 676, 891, 2043, 630, 1067, 577, 1218, 543, 13492, 2006, 264, 729, 1271, 585, 519, 25954, 540, 3864, 4683, 2486, 543, 519, 22638, 7771, 540, 10120, 21535, 16117, 630, 303, 659, 7748, 267, 476, 1220, 280, 281, 3393, 1916, 763, 4436, 2749, 540, 700, 4209, 1188, 666, 581, 6956, 607, 606, 1383, 540, 713, 25954, 540, 519, 4683, 2486, 998, 2208, 538, 16450, 543, 4123, 269, 700, 4209, 1188, 1131, 581, 2938, 607, 519, 8998, 540, 519, 4436, 27397, 9467, 1062, 799, 729, 6896, 676, 513, 1895, 540, 10034, 1634, 607, 519, 12390, 572, 1738, 13477, 799, 3769, 700, 2317, 6199, 267, 31297, 267, 15519, 320, 267, 8355, 345, 580, 543, 595, 860, 928, 630, 303, 659, 7748, 267, 476, 1220, 280, 281, 5379, 1040, 769, 538, 922, 2208, 543, 1646, 540, 513, 2834, 4123, 2078, 609, 519, 6739, 2749, 540, 8734, 326, 528, 617, 4547, 609, 621, 606, 25819, 540, 535, 2720, 543, 26216, 2472, 269, 13966, 609, 2472, 971, 607, 6070, 602, 729, 1031, 547, 8190, 5779, 543, 3165, 693, 519, 942, 269, 1452, 2472, 1131, 581, 7856, 2066, 8832, 2342, 543, 1131, 581, 22121, 585, 12308, 543, 824, 3302, 999, 563, 763, 2208, 538, 2804, 5763, 543, 2797, 1379, 602, 729, 6591, 676, 519, 21471, 16918, 1369, 700, 4209, 1188, 1131, 1450, 873, 547, 723, 1379, 547, 1827, 700, 4209, 1188, 543, 824, 4872, 540, 12390, 572, 630, 303, 659, 7748, 267, 476, 1220, 280, 281, 5379, 1040, 634, 2497, 540, 519, 4884, 540, 700, 4209, 1188, 729, 3844, 547, 519, 2956, 4123, 543, 16450, 607, 519, 4884, 1185, 513, 10120, 26720, 543, 20708, 625, 799, 941, 13856, 676, 513, 3844, 19458, 1141, 4123, 610, 15377, 630, 303, 659, 7748, 267, 476, 1220, 280, 281, 5379, 1040, 634, 19458, 1185, 1369, 621, 15945, 609, 1585, 11285, 22278, 543, 13492, 2006, 971, 607, 536, 5474, 267, 24996, 22278, 543, 2766, 832, 269, 1452, 2043, 1131, 2661, 538, 20453, 602, 941, 13883, 1657, 519, 15945, 630, 303, 659, 7748, 267, 476, 1220, 280, 281, 5379, 1040, 634, 4884, 1131, 2226, 513, 2635, 2078, 609, 519, 4478, 1858, 543, 1185, 513, 2147, 2635, 2078, 609, 519, 24781, 5103, 519, 2208, 538, 2956, 540, 16450, 630, 303, 659, 7748, 267, 476, 1220, 280, 281, 5379, 1916, 8469, 8148, 4884, 1131, 723, 606, 27614, 540, 11082, 602, 941, 5275, 2308, 906, 543, 2804, 4316, 547, 2661, 1732, 2729, 269, 22893, 540, 700, 4209, 1188, 1131, 581, 4847, 547, 723, 1978, 22864, 998, 741, 3656, 4567, 799, 729, 1152, 6488, 539, 547, 873, 267, 543, 519, 1482, 22864, 941, 711, 10630, 538, 519, 4884, 540, 8734, 326, 528, 617, 5103, 519, 1967, 540, 519, 1858, 267, 789, 941, 711, 20833, 14628, 630, 303, 659, 7748, 267, 476, 1220, 280, 281, 5379, 1040, 634, 25954, 540, 4683, 1143, 1813, 547, 519, 7771, 540, 21535, 16117, 4547, 1390, 13884, 585, 10120, 10034, 269, 769, 2474, 540, 16450, 543, 4123, 543, 519, 1967, 540, 519, 2043, 538, 1346, 4884, 24458, 602, 789, 6591, 2797, 1379, 602, 1131, 1450, 1978, 2797, 7060, 269, 634, 14637, 540, 3347, 609, 824, 10034, 543, 519, 1604, 5103, 519, 8561, 5116, 593, 2504, 1131, 2327, 2208, 729, 19311, 543, 4264, 585, 513, 2635, 1974, 563, 32098, 2813, 543, 13859, 676, 281, 11536, 6347, 312, 6261, 299, 308, 294, 630, 16129, 28709, 5240, 12467, 23330, 320, 5240, 568, 513, 1863, 547, 946, 3760, 543, 519, 5784, 543, 8369, 6829, 23954, 616, 9003, 1346, 540, 519, 2278, 543, 798, 711, 2099, 267, 2992, 610, 2769, 519, 5784, 540, 28709, 5240, 269, 7102, 270, 718, 2854, 1543, 543, 2592, 10268, 616, 3177, 676, 519, 5816, 3455, 270, 10461, 267, 2408, 23954, 607, 11643, 676, 519, 5816, 3455, 270, 10461, 543, 616, 796, 539, 1243, 676, 28709, 5240, 269, 28709, 5240, 1281, 711, 9844, 547, 6862, 1281, 621, 7873, 821, 519, 20171, 540, 1022, 1543, 602, 3423, 919, 519, 2924, 630, 10175, 519, 5299, 23412, 264, 540, 1022, 3791, 5428, 267, 6862, 1543, 602, 949, 30279, 267, 954, 620, 807, 267, 1022, 4984, 267, 6803, 1895, 267, 3919, 267, 4008, 267, 2754, 267, 610, 1367, 269, 28709, 5240, 2417, 3467, 1281, 711, 7873, 821, 519, 946, 540, 938, 3760, 585, 519, 5301, 8716, 270, 754, 832, 532, 13842, 4633, 267, 18670, 540, 1480, 2924, 543, 5924, 19039, 1734, 540, 513, 1219, 600, 2218, 2470, 269, 1403, 519, 1543, 8659, 23954, 3423, 919, 1022, 540, 707, 2924, 267, 1519, 1346, 540, 10677, 267, 543, 5924, 3423, 919, 1022, 519, 1657, 5018, 2188, 267, 596, 616, 16761, 547, 5612, 711, 1518, 721, 1210, 3842, 519, 1739, 4757, 2232, 1766, 534, 31974, 7721, 4156, 263, 520, 264, 641, 5028, 2593, 543, 5924, 1867, 519, 2376, 1210, 519, 2139, 8989, 10342, 3710, 883, 938, 25957, 6423, 2859, 0, 299, 541, 1778, 267, 590, 10422, 269, 476, 1220, 273, 1496, 1103, 4167, 543, 544, 924, 11641, 11841, 593, 6653, 533, 788, 16394, 630, 22069, 534, 636, 9597, 545, 23628, 589, 527, 4700, 16916, 538, 519, 10001, 16323, 267, 16266, 20426, 5549, 16582, 25556, 632, 5521, 657, 586, 1035, 541, 657, 12735, 553, 679, 533, 788, 3626, 546, 592, 576, 630, 22069, 534, 636, 9597, 545, 23628, 589, 527, 4700, 5252, 5964, 679, 3288, 10001, 16323, 267, 16266, 907, 8968, 3120, 570, 2946, 322, 333, 3821, 269, 16266, 476, 7830, 263, 272, 2567, 476, 1428, 268, 2918, 563, 24687, 281, 3245, 5239, 476, 1960, 276, 547, 4728, 476, 1960, 278, 267, 10860, 941, 6594, 593, 533, 788, 3626, 630, 306, 269, 9597, 545, 23628, 264, 2371, 6738, 538, 16266, 269, 14520, 533, 788, 3626, 13602, 941, 12630, 693, 476, 273, 18881, 11996, 543, 519, 1114, 10860, 602, 1102, 6479, 519, 7031, 941, 16913, 269, 769, 1840, 267, 1035, 541, 15969, 543, 5521, 15969, 941, 11117, 585, 519, 1852, 540, 476, 273, 1606, 13607, 1540, 17178, 21746, 267, 31679, 337, 1415, 577, 639, 2712, 6776, 2801, 267, 543, 803, 3315, 30471, 267, 26263, 659, 11484, 639, 1151, 523, 18462, 267, 6606, 269, 634, 2164, 4951, 476, 2190, 2249, 540, 818, 6605, 16104, 15890, 532, 533, 788, 3626, 2371, 269, 7324, 873, 267, 519, 21746, 267, 3226, 570, 269, 2712, 6776, 2801, 267, 941, 10731, 543, 6603, 2157, 540, 476, 12573, 21746, 829, 6978, 267, 4929, 4049, 1219, 565, 2747, 269, 1975, 2001, 532, 519, 1035, 541, 15969, 267, 2166, 28411, 11294, 543, 993, 527, 23432, 267, 3927, 6417, 519, 23588, 269, 634, 533, 788, 3626, 8038, 267, 10910, 698, 1961, 26385, 562, 13960, 267, 1008, 12097, 9645, 9271, 1282, 1978, 5712, 267, 855, 922, 6574, 2956, 568, 602, 621, 568, 513, 27170, 1441, 11641, 543, 7182, 533, 788, 3626, 18666, 547, 1271, 6990, 269, 4033, 10860, 540, 2804, 4644, 547, 519, 7693, 267, 4171, 2551, 2157, 1590, 581, 16913, 543, 6417, 267, 616, 519, 26615, 6641, 5471, 337, 4593, 1335, 320, 8126, 565, 5362, 267, 519, 3039, 890, 778, 21428, 573, 267, 3733, 345, 639, 1086, 545, 2801, 543, 519, 3037, 803, 3315, 30132, 267, 26263, 659, 11484, 639, 1151, 523, 18462, 269, 634, 803, 3315, 30132, 729, 6417, 676, 30574, 609, 8392, 6853, 17287, 657, 543, 16087, 1993, 584, 534, 269, 0, 6097, 547, 519, 3703, 6109, 1744, 790, 267, 2550, 609, 9864, 610, 2407, 1121, 2153, 540, 4965, 2589, 945, 941, 593, 3119, 24196, 656, 3797, 2443, 543, 1185, 15895, 5042, 15717, 2443, 4951, 1713, 9283, 538, 10324, 1599, 950, 561, 529, 1372, 343, 600, 325, 564, 8533, 546, 1307, 2643, 622, 630, 309, 344, 7079, 572, 264, 729, 3773, 547, 741, 3232, 2126, 563, 3674, 966, 344, 7079, 572, 589, 24196, 656, 888, 309, 344, 7079, 572, 568, 513, 6646, 602, 7189, 21559, 547, 1521, 3007, 17211, 30759, 4524, 610, 28675, 4189, 4524, 269, 898, 568, 513, 8102, 656, 267, 799, 2337, 513, 1268, 547, 13404, 269, 5221, 966, 344, 7079, 572, 568, 513, 8102, 656, 267, 513, 1268 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 9542, 2994, 267, 1247, 849, 519, 811, 24654, 18232, 2551, 1058, 581, 1500, 3222, 547, 3068, 513, 2362, 1981, 540, 14700, 1813, 547, 20793, 305, 538, 519, 1985, 3980, 376, 476, 1911, 1296, 563, 763, 5084, 5937, 4932, 568, 2139, 2228, 630, 10059, 2517, 8742, 3820, 270, 1015, 269, 276, 2764, 272, 270, 7999, 29081, 269, 4281, 278, 6795, 277, 275, 267, 1530, 1122, 518, 1696, 620, 1421, 476, 1708, 274, 320, 1040, 32693, 2213, 15038, 1239, 689, 1283, 7240, 7851, 786, 581, 1500, 2139, 2390, 7662, 269, 674, 5723, 291, 4932, 966, 272, 268, 271, 14661, 585, 519, 15718, 5674, 541, 342, 8014, 18647, 538, 27060, 676, 2199, 5544, 4463, 1239, 689, 1283, 4919, 7851, 568, 2139, 896, 513, 11300, 12780, 21922, 9539, 517, 4467, 14293, 27691, 732, 2704, 833, 476, 275, 269, 271, 4139, 630, 6717, 5174, 312, 9539, 290, 4149, 288, 476, 275, 269, 271, 264, 6132, 775, 630, 10059, 2517, 8742, 3820, 270, 1015, 269, 276, 2764, 272, 270, 7999, 29081, 269, 4281, 278, 276, 5952, 276, 267, 1530, 1122, 518, 1696, 620, 1421, 476, 1708, 274, 321, 1916, 763, 7110, 1644, 547, 713, 2376, 568, 2139, 2228, 693, 281, 4179, 2517, 8742, 3820, 270, 1015, 269, 31982, 275, 270, 515, 1087, 268, 2767, 268, 18597, 278, 268, 1708, 274, 23418, 2211, 563, 16775, 267, 13662, 297, 300, 543, 24766, 12497, 2213, 519, 1353, 269, 23794, 9715, 519, 15038, 1239, 543, 1283, 4919, 7851, 269, 23794, 543, 6673, 5342, 2007, 4345, 566, 269, 23794, 5340, 4393, 267, 1239, 9382, 543, 3308, 5314, 269, 23794, 543, 13662, 297, 300, 5941, 13591, 543, 3803, 2164, 269, 24766, 267, 670, 289, 543, 674, 298, 9715, 7616, 543, 616, 3743, 585, 15569, 543, 1788, 7245, 269, 23794, 5423, 519, 3312, 8908, 540, 519, 12377, 269, 2353, 1071, 22052, 4243, 12649, 543, 12995, 519, 12377, 563, 763, 3346, 2278, 814, 10294, 602, 9039, 540, 519, 4589, 814, 1022, 12721, 4690, 563, 21812, 779, 4063, 281, 10515, 1716, 16307, 23549, 3788, 9243, 609, 2543, 547, 11758, 12302, 6811, 538, 3370, 7851, 543, 12250, 28930, 725, 563, 2171, 9684, 590, 3041, 21476, 540, 519, 10934, 4972, 540, 519, 853, 320, 1846, 321, 9560, 6139, 330, 1990, 340, 12670, 585, 3246, 1283, 7240, 4786, 9212, 1519, 1644, 1344, 269, 3204, 710, 1975, 2129, 1676, 689, 2160, 540, 595, 860, 928, 568, 9684, 539, 585, 2520, 648, 325, 17182, 519, 1283, 4919, 4786, 9212, 269, 18000, 291, 4932, 29930, 1239, 543, 519, 10515, 1716, 16307, 667, 4932, 941, 3177, 676, 519, 4436, 17224, 18209, 4741, 630, 13036, 305, 264, 2390, 513, 2257, 11556, 630, 291, 4932, 318, 14176, 11403, 28178, 272, 1040, 16429, 655, 769, 576, 543, 32527, 807, 10507, 1088, 9799, 689, 717, 293, 313, 616, 16416, 2685, 17019, 585, 741, 2186, 5796, 593, 519, 2520, 1355, 15558, 9819, 269, 1284, 9684, 519, 4589, 540, 519, 7379, 6717, 8121, 277, 7256, 5426, 5741, 542, 15484, 585, 3384, 543, 1818, 519, 20793, 305, 20327, 2139, 267, 2789, 7616, 8041, 585, 5885, 519, 1646, 540, 891, 20327, 267, 543, 519, 8331, 7256, 5426, 7827, 12243, 585, 3384, 543, 16475, 519, 1907, 269, 901, 1382, 729, 20019, 6462, 676, 513, 9886, 689, 1546, 583, 22385, 674, 832, 577, 31258, 613, 1889, 1231, 577, 10762, 630, 5263, 294, 1788, 1297, 476, 30329, 27038, 277, 4375, 282, 19836, 476, 2004, 273, 274, 270, 275, 268, 272, 282, 19836, 476, 279, 6507, 270, 4391, 268, 272, 282, 918, 305, 476, 12293, 275, 270, 2764, 268, 272, 1916, 1607, 1382, 814, 1044, 6462, 676, 519, 1546, 583, 22385, 674, 832, 577, 31258, 613, 1889, 1231, 577, 10762, 630, 326, 7949, 1100, 269, 476, 30329, 27038, 277, 4375, 1916, 1607, 1957, 729, 12995, 676, 774, 558, 645, 7541, 731, 543, 12649, 676, 1079, 20822, 22275, 525, 563, 288, 7666, 1791, 267, 674, 269, 808, 1421, 3397, 340, 1791, 267, 631, 269, 589, 1421, 3397, 6686, 5028, 267, 674, 1421, 543, 590, 17505, 31712, 267, 808, 12727, 634, 6111, 540, 7470, 3059, 15038, 3631, 31085, 9112, 689, 16559, 3732, 1239, 267, 2271, 269, 808, 269, 2983, 690, 337, 269, 5606, 269, 2233, 1421, 476, 736, 267, 476, 15433, 1700, 4572, 267, 4179, 2517, 8742, 3820, 270, 1015, 269, 10482, 271, 270, 15793, 276, 6434, 10755, 19740, 4200, 277, 3583, 267, 476, 1220, 277, 563, 2304, 628, 3415, 267, 661, 269, 808, 1421, 645, 612, 564, 267, 631, 1421, 667, 1380, 537, 4068, 345, 267, 623, 1421, 3619, 747, 582, 267, 631, 1421, 543, 10753, 529, 601, 267, 670, 12727, 11137, 540, 519, 3933, 22792, 19899, 1663, 10642, 15718, 5674, 541, 342, 8014, 5211, 18232, 267, 543, 18232, 32132, 10688, 538, 3210, 547, 4657, 2770, 341, 658, 11159, 3761, 267, 3057, 269, 2983, 565, 1421, 476, 275, 1704, 267, 476, 11793, 271, 4343, 267, 4179, 2517, 8742, 3820, 270, 1015, 269, 6200, 277, 10768, 6230, 1618, 334, 269, 1001, 280, 269, 11793, 271, 4343, 267, 476, 1001, 280, 563, 21080, 24650, 4347, 775, 543, 6611, 281, 10515, 1716, 16307, 7913, 29175, 566, 7844, 8605, 18361, 19405, 476, 274, 269, 271, 267, 5794, 24650, 267, 476, 4343, 6032, 1421, 4179, 2517, 4944, 3166, 1092, 6983, 641, 1716, 16307, 4318, 340, 7933, 665, 3701, 270, 1001, 2537, 270, 13199, 26839, 270, 12283, 302, 2735, 279, 4211, 641, 1716, 16307, 291, 4932, 4149, 14154, 268, 16573, 318, 29410, 21652, 1504, 318, 296, 275, 269, 271, 15005, 630, 18431, 1569, 281, 476, 275, 5988, 476, 1708, 273, 1070, 476, 1708, 271, 563, 29155, 787, 267, 623, 269, 589, 269, 631, 1421, 8055, 267, 681, 269, 717, 1421, 543, 5484, 1597, 626, 324, 267, 808, 12727, 31984, 273, 281, 634, 1715, 6820, 7913, 29175, 566, 7844, 267, 538, 281, 32322, 267, 2983, 1355, 543, 3047, 9866, 3569, 267, 4139, 5948, 540, 2983, 3941, 344, 6641, 1842, 807, 476, 13670, 267, 12995, 676, 281, 631, 1068, 1731, 20393, 267, 590, 269, 623, 1421, 22219, 267, 12670, 267, 1261, 14988, 6199, 267, 5125, 267, 476, 23211, 1700, 26801, 267, 4179, 2517, 8742, 3820, 270, 1015, 269, 1911, 278, 270, 7818, 268, 274, 268, 5038, 273, 268, 11793, 4097, 268, 278, 318, 1789, 267, 476, 1001, 271, 563, 6826, 14982, 267, 631, 1421, 14466, 320, 267, 674, 1421, 10127, 6853, 339, 3832, 341, 267, 631, 1421, 1546, 548, 13069, 4302, 267, 595, 1421, 918, 31151, 267, 962, 1421, 16679, 267, 808, 269, 772, 1421, 11831, 340, 267, 966, 1421, 667, 3120, 526, 267, 674, 1421, 2274, 3213, 345, 2335, 564, 267, 717, 1421, 5771, 267, 589, 269, 918, 269, 631, 269, 590, 1421, 2836, 332, 656, 267, 590, 1421, 543, 1744, 636, 267, 595, 269, 918, 12727, 4826, 1377, 2242, 267, 7449, 2064, 267, 543, 4262, 1377, 4473, 538, 519, 717, 5190, 5174, 19207, 14090, 583, 571, 5336, 324, 724, 3534, 18232, 267, 623, 269, 14844, 331, 269, 6298, 269, 2233, 269, 7330, 267, 476, 14056, 267, 476, 5908, 278, 1700, 6942, 277, 267, 4179, 2517, 8742, 3820, 270, 1015, 269, 13040, 274, 9706, 19063, 269, 4489, 29580, 9340, 278, 267, 476, 1708, 271, 563, 289, 749, 657, 267, 966, 269, 543, 17578, 752, 597, 529, 267, 717, 12727, 24951, 15316, 10613, 540, 8490, 23830, 585, 476, 273, 291, 24627, 3525, 2454, 769, 29740, 268, 10000, 19791, 267, 4826, 1763, 712, 269, 2494, 698, 1421, 476, 3066, 267, 476, 4391, 280, 1700, 4375, 278, 267, 4179, 2517, 8742, 3820, 270, 1015, 269, 1911, 278, 4882, 12208, 7597, 268, 26522, 268, 271, 3583, 273, 268, 274, 267, 476, 1001, 276, 563, 289, 327, 698, 629, 10620, 267, 590, 269, 590, 1421, 918, 1177, 30245, 267, 589, 1421, 6875, 1276, 328, 267, 654, 1421, 543, 12736, 12736, 2098, 514, 281, 25947, 5211, 24872, 2096, 4479, 543, 5440, 2762, 23830, 540, 513, 8899, 6441, 3539, 25065, 5211, 19438, 676, 23889, 13038, 590, 712, 1027, 13096, 553, 1115, 267, 808, 269, 28155, 1763, 1421, 476, 1428, 267, 476, 28178, 1700, 29340, 267, 4179, 2517, 8742, 3820, 270, 1015, 269, 20385, 4792, 10768, 20142, 269, 1708, 271, 4877, 30033, 276, 267, 476, 1708, 271, 563, 24154, 5287, 16466, 267, 717, 269, 681, 1421, 5204, 341, 1080, 7288, 267, 808, 269, 623, 269, 631, 1421, 715, 773, 321, 7795, 337, 267, 661, 1421, 744, 3164, 655, 267, 594, 1421, 11612, 326, 1231, 267, 590, 269, 589, 1421, 918, 9116, 1676, 589, 269, 808, 1421, 543, 623, 10232, 267, 700, 12727, 5071, 609, 2470, 281, 6970, 639, 566, 543, 21084, 540, 21472, 14700, 267, 27060, 267, 3047, 2233, 269, 4860, 1421, 476, 13679, 267, 476, 10037, 1700, 11820, 267, 4179, 2517, 8742, 3820, 270, 1015, 269, 6200, 277, 10768, 269, 792, 2675, 790, 341, 269, 1001, 277, 269, 1321, 269, 27947, 267, 476, 1001, 278, 563, 24154, 5287, 16466, 267, 717, 269, 681, 1421, 918, 9116, 1676, 267, 589, 269, 808, 1421, 8303, 267, 590, 1421, 28137, 267, 590, 1421, 543, 715, 724, 22044, 267, 590, 269, 966, 12727, 5211, 543, 1763, 969, 7546, 13772, 19405, 476, 275, 269, 276, 267, 31420, 2861, 5757, 11166, 543, 13111, 1858, 7403, 267, 476, 1960, 279, 1700, 30005, 267, 667, 23859, 24627, 25076, 267, 2160, 540, 12548, 267, 7330, 267, 4179, 2517, 4148, 797, 10849, 969, 2218, 269, 10233, 5964, 12975, 270, 11514, 8408, 16966, 11258, 267, 2063, 1569, 281, 476, 279, 5181, 476, 1708, 273, 563, 289, 18115, 267, 667, 1421, 1530, 1122, 518, 267, 918, 1421, 623, 842, 267, 589, 1421, 1234, 1125, 267, 674, 1421, 28270, 774, 933, 670, 5055, 532, 267, 1530, 601, 9528, 267, 631, 1421, 14956, 6308, 267, 590, 1421, 10609, 514, 21007, 21007, 12736, 267, 12736, 774, 15120, 541, 27526, 2863, 267, 715, 1791, 589, 6614, 267, 589, 2426, 589, 2426, 267, 19109, 1177, 19109, 1177, 267, 26689, 553, 267, 674, 1421, 543, 5696, 6686, 1188, 1676, 267, 670, 12727, 7073, 543, 3140, 9341, 7814, 821, 543, 23329, 12074, 693, 519, 5032, 540, 27060, 281, 20480, 585, 741, 8446, 543, 11091, 538, 519, 17027, 2594, 267, 20767, 2939, 1108, 267, 476, 6858, 267, 476, 16960, 272, 1700, 13970, 280, 267, 4179, 2517, 8742, 3820, 270, 1015, 269, 9340, 272, 4882, 539, 269, 10219, 10436, 267, 476, 1708, 271, 563, 289, 4592, 839, 267, 700, 1421, 8805, 325, 2176, 267, 645, 1421, 3619, 951, 267, 717, 1421, 25548, 3570, 11219, 6558, 267, 661, 1421, 681, 1794, 534, 600, 1695, 663, 787, 267, 966, 269, 674, 1421, 681, 1794, 2378, 574, 10964, 334, 267, 570, 1421, 681, 2378, 12994, 344, 267, 570, 1421, 543, 10496, 10849, 267, 700, 12727, 22414, 2079, 540, 519, 10515, 1716, 16307, 267, 18000, 291, 4932, 29930, 267, 543, 772, 16787, 4149, 325, 300, 3059, 15038, 3631, 547, 7447, 20662, 10440, 630, 326, 592, 569, 264, 12531, 543, 4254, 16478, 3928, 538, 519, 8235, 1325, 320, 582, 571, 3148, 630, 32743, 27377, 1070, 3047, 5080, 325, 269, 13552, 1421, 476, 1015, 267, 476, 20385, 1700, 25375, 267, 4179, 2517, 8742, 3820, 270, 1015, 269, 31982, 275, 270, 525, 584, 325, 268, 1015, 268, 20385, 268, 1708, 273, 267, 476, 1708, 273, 563, 289, 1075, 343, 267, 570, 1421, 8709, 667, 21119, 267, 654, 1421, 632, 4425, 518, 267, 670, 1421, 3400, 553, 267, 590, 1421, 18999, 28086, 267, 966, 269, 570, 1421, 4728, 663, 267, 631, 1421, 543, 11709, 632, 717, 1276, 974, 267, 595, 12727, 22414, 4879, 540, 519, 13438, 543, 6043, 540, 1642, 339, 553, 1107, 6905, 4528, 609, 476, 1691, 1642, 339, 553, 1107, 10282, 1867, 267, 18647, 19137, 4139, 267, 5548, 1111, 8862, 698, 2287, 523, 267, 634, 13814, 267, 18647, 19137, 1867, 1297, 476, 278, 267, 476, 13970, 6032, 1421, 4179, 2517, 14537, 28482, 16896, 7933, 5877, 9706, 4206, 270, 29580, 5400, 280, 11152, 15005, 630, 18431, 1569, 281, 476, 2420, 4989, 476, 1708, 273, 1070, 476, 1001, 275, 563, 290, 663, 11253, 267, 570, 269, 543, 918, 8803, 267, 918, 12727, 634, 1082, 8188, 540, 27643, 7449, 2064, 267, 3163, 267, 476, 4391, 277, 267, 476, 15946, 272, 1700, 15946, 273, 267, 4179, 2517, 8742, 3820, 270, 1015, 269, 12208, 277, 4882, 7220, 269, 629, 333, 3607, 278, 277, 267, 476, 1708, 273, 563, 290, 1156, 267, 667, 1421, 9149, 267, 2473, 1421, 590, 7159, 334, 267, 962, 1421, 20568, 267, 808, 269, 623, 1421, 667, 10224, 267, 962, 1421, 20568, 267, 590, 1421, 543, 18681, 267, 700, 12727, 10765, 4720, 540, 519, 7054, 3863, 23098, 630, 288, 344, 5674, 541, 342, 8014, 264, 18647 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12708, 3004, 1080, 540, 513, 15474, 3427, 8693, 454, 19751, 476, 1428, 267, 476, 1708, 271, 454, 763, 2582, 1034, 1271, 2816, 540, 519, 9030, 568, 2870, 513, 1153, 1604, 1141, 1053, 1745, 2922, 267, 6462, 267, 7722, 267, 543, 7608, 267, 2687, 547, 1082, 1126, 1646, 543, 1153, 5718, 4966, 563, 14399, 945, 616, 12922, 540, 11648, 610, 24515, 723, 1447, 19961, 585, 1565, 269, 20134, 4664, 267, 971, 607, 4743, 9813, 730, 610, 29144, 267, 1118, 621, 9875, 585, 519, 2634, 547, 1184, 1344, 543, 547, 1451, 563, 4002, 519, 16212, 2427, 267, 2634, 1646, 7912, 8460, 950, 1453, 1745, 14156, 543, 9308, 2922, 267, 950, 789, 917, 789, 723, 4079, 945, 1416, 827, 873, 267, 543, 950, 789, 616, 13934, 538, 741, 1565, 269, 0, 14722, 689, 519, 15057, 16581, 543, 700, 12083, 3194, 25944, 630, 298, 531, 549, 264, 723, 3323, 519, 1184, 540, 6721, 2068, 2389, 26985, 19337, 8677, 563, 763, 4966, 723, 2907, 2097, 909, 609, 513, 3099, 602, 568, 27031, 547, 24861, 2068, 269, 24935, 19108, 538, 10878, 643, 26474, 267, 21634, 3563, 25120, 7236, 267, 519, 1244, 14280, 8689, 538, 5279, 540, 7031, 693, 10127, 5979, 267, 1767, 10860, 543, 3676, 941, 930, 540, 519, 2101, 2591, 6849, 19337, 6705, 563, 300, 752, 7236, 1767, 519, 1382, 13539, 814, 2907, 2097, 909, 609, 513, 28533, 754, 880, 3099, 799, 568, 27031, 547, 519, 24861, 2068, 563, 14071, 616, 2324, 5180, 519, 9219, 547, 2097, 909, 609, 1776, 3099, 602, 666, 798, 1134, 538, 2694, 540, 8109, 15057, 1141, 972, 568, 20317, 540, 1216, 2223, 1352, 1767, 563, 9515, 7074, 602, 3668, 540, 10986, 814, 4299, 17833, 549, 779, 1382, 1739, 519, 7333, 676, 519, 2229, 593, 17849, 540, 1007, 5234, 267, 5631, 3744, 563, 300, 752, 7236, 14129, 602, 2022, 3620, 541, 4034, 9271, 602, 2049, 1282, 11183, 543, 6283, 540, 519, 3132, 2611, 1776, 4161, 563, 9515, 1767, 17833, 549, 543, 519, 2622, 7813, 723, 24389, 593, 513, 10872, 547, 2232, 2152, 540, 9544, 2326, 267, 3037, 12680, 543, 16276, 563, 2108, 25387, 519, 2197, 779, 19337, 2504, 568, 1970, 269, 1284, 616, 3257, 476, 1015, 19726, 829, 23505, 269, 1284, 666, 5595, 713, 998, 1689, 538, 8105, 2409, 2223, 25120, 7236, 1767, 563, 8601, 519, 2591, 6849, 6705, 267, 1352, 19011, 1042, 602, 1871, 1840, 1185, 2799, 741, 15271, 269, 968, 10303, 540, 1871, 1840, 267, 649, 1631, 723, 19337, 9174, 267, 5743, 1186, 267, 16693, 543, 824, 2472, 269, 1284, 4927, 3136, 547, 1489, 6705, 865, 602, 789, 666, 3132, 811, 2223, 25120, 7236, 1767, 563, 292, 878, 17340, 574, 328, 267, 513, 19337, 16027, 689, 774, 541, 10440, 715, 603, 328, 6019, 267, 1767, 3676, 543, 1970, 2344, 5777, 941, 519, 7887, 2591, 19337, 6705, 3068, 269, 1261, 1767, 538, 774, 541, 10440, 267, 1216, 20317, 729, 1776, 3390, 563, 2108, 12850, 568, 513, 2462, 1966, 269, 1284, 849, 723, 513, 1297, 540, 3676, 543, 10860, 899, 19337, 649, 5271, 559, 602, 723, 4299, 6705, 7494, 543, 723, 22485, 2504, 269, 1284, 616, 1210, 7471, 11641, 2359, 547, 2270, 873, 2223, 17340, 574, 328, 1767, 269, 0, 21809, 6750, 3631, 723, 6591, 2956, 607, 789, 723, 1831, 24819, 538, 2413, 2486, 269, 634, 4632, 602, 616, 1031, 547, 2203, 519, 6364, 616, 1572, 519, 30661, 267, 2934, 267, 610, 4830, 4632, 269, 8298, 2065, 9695, 6923, 7472, 1362, 17831, 602, 2285, 606, 16315, 540, 10171, 585, 1142, 1362, 269, 3683, 7257, 1154, 568, 519, 3510, 1141, 513, 2203, 13352, 1360, 1134, 547, 519, 1699, 1239, 855, 14543, 950, 17782, 1007, 5439, 269, 8111, 14876, 1239, 2079, 3322, 7114, 3270, 1063, 30661, 543, 606, 4857, 6364, 602, 568, 547, 581, 24018, 610, 10567, 267, 1247, 5667, 10967, 14876, 2553, 616, 5059, 9003, 593, 7114, 3270, 1851, 519, 30661, 269, 634, 1184, 540, 3384, 606, 2500, 2203, 568, 1312, 27952, 543, 646, 22618, 269, 7844, 9186, 9356, 519, 2702, 540, 513, 2203, 547, 14883, 547, 519, 5817, 7811, 2497, 540, 519, 1239, 269, 1715, 5036, 540, 2934, 941, 6508, 18615, 569, 547, 2087, 2773, 540, 519, 2203, 269, 634, 3184, 849, 6799, 606, 7650, 540, 519, 1883, 2035, 5941, 538, 713, 1433, 269, 0, 17730, 519, 15557, 24143, 15258, 267, 476, 3953, 454, 30360, 568, 632, 16667, 2740, 607, 519, 2594, 540, 2798, 610, 18116, 1500, 676, 15712, 538, 513, 3014, 610, 6474, 282, 519, 957, 540, 1818, 610, 15980, 513, 1448, 610, 2798, 282, 513, 512, 958, 630, 31812, 779, 1133, 30457, 9218, 267, 476, 1960, 279, 1040, 634, 1482, 2707, 632, 16667, 5886, 968, 16557, 15258, 892, 607, 513, 3556, 585, 5329, 6060, 540, 513, 5026, 16311, 269, 15706, 945, 2901, 4585, 610, 7119, 538, 5026, 7048, 593, 519, 6060, 15258, 547, 917, 945, 568, 10888, 519, 3014, 267, 875, 519, 15712, 5635, 267, 543, 952, 9283, 616, 2838, 269, 15557, 1646, 3252, 991, 547, 1832, 6060, 607, 1134, 269, 634, 13362, 5092, 538, 5718, 1646, 3292, 568, 1129, 328, 16667, 322, 656, 543, 8639, 1616, 547, 917, 519, 2132, 593, 602, 5092, 269, 634, 5092, 538, 5718, 1646, 11148, 547, 2039, 689, 476, 276, 547, 476, 1839, 2600, 540, 606, 3906, 5993, 2866, 6578, 630, 22013, 1695, 748, 25669, 324, 267, 476, 1220, 272, 1040, 898, 814, 1044, 4080, 602, 519, 5092, 538, 10324, 2069, 543, 5718, 1646, 4485, 1269, 1626, 269, 276, 5479, 9489, 12422, 630, 293, 592, 1067, 543, 717, 9529, 19431, 267, 476, 1220, 272, 1040, 9453, 513, 6060, 15258, 267, 875, 1281, 519, 5718, 1646, 1599, 917, 952, 789, 616, 10888, 519, 5718, 1646, 3014, 267, 875, 741, 5718, 1646, 3292, 5635, 609, 824, 3906, 267, 543, 952, 9283, 616, 2877, 286, 0, 288, 1268, 949, 1397, 2589, 1369, 2395, 1310, 24931, 19058, 15601, 267, 610, 621, 949, 1491, 4374, 267, 3275, 267, 610, 1296, 269, 2368, 1004, 949, 723, 513, 4049, 12176, 1369, 2395, 1310, 24931, 519, 3644, 1247, 1866, 949, 723, 513, 1101, 12176, 865, 7646, 602, 789, 798, 711, 5469, 621, 269, 5221, 540, 891, 7399, 267, 621, 666, 581, 2352, 585, 1004, 547, 917, 950, 543, 689, 7247, 789, 949, 723, 26438, 519, 3644, 563, 1103, 1931, 547, 13209, 15601, 267, 513, 1072, 1416, 8502, 666, 2220, 629, 606, 1858, 540, 1471, 4601, 3742, 15601, 3968, 610, 267, 952, 2589, 5749, 1406, 3742, 267, 513, 1973, 1449, 666, 581, 2016, 602, 3800, 519, 1297, 540, 15601, 12489, 1459, 538, 519, 1560, 269, 634, 12489, 1810, 1406, 5815, 15601, 3294, 267, 855, 2864, 1397, 519, 4761, 1062, 779, 3210, 547, 519, 4527, 540, 519, 3644, 538, 519, 1560, 269, 898, 779, 1271, 547, 4063, 602, 3006, 513, 2220, 629, 666, 2285, 7301, 2942, 2164, 2094, 15601, 15087, 991, 547, 581, 1804, 2614, 547, 6556, 2614, 3713, 762, 3644, 543, 952, 519, 12176, 568, 2907, 7067, 621, 849, 949, 711, 581, 9571, 538, 513, 2220, 629, 269, 630, 277, 994, 288, 476, 1220, 275, 1353, 538, 519, 1715, 4789, 4750, 540, 6925, 1336, 602, 1139, 4809, 3797, 11081, 519, 1981, 540, 23034, 268, 273, 6771, 689, 31916, 267, 7783, 4891, 547, 796, 17126, 539, 4891, 676, 476, 4366, 10065, 1924, 968, 1492, 1981, 540, 6771, 568, 3648, 4389, 267, 855, 3112, 581, 17515, 1256, 609, 1139, 4809, 3797, 2223, 3627, 8725, 6941, 267, 543, 1352, 17613, 602, 519, 3644, 666, 581, 5293, 2059, 1256, 1510, 4191, 610, 2589, 269, 0, 3080, 540, 519, 1034, 1455, 5312, 5711, 5563, 538, 519, 1158, 568, 5959, 1286, 625, 1547, 17327, 23633, 14471, 723, 1044, 519, 2014, 540, 5959, 29693, 13196, 267, 5959, 1286, 625, 267, 607, 1134, 607, 31470, 2526, 543, 27731, 3676, 1547, 6790, 696, 19905, 4573, 753, 568, 835, 540, 519, 1292, 2309, 2065, 13596, 540, 5959, 1286, 625, 267, 799, 568, 3743, 585, 519, 5250, 540, 5959, 15799, 543, 1286, 625, 1547, 4033, 14471, 2404, 609, 713, 5711, 2783, 1331, 18521, 615, 747, 807, 19546, 267, 590, 269, 28857, 2073, 543, 15443, 5866, 2249, 563, 290, 269, 11549, 15092, 568, 519, 1034, 7928, 13803, 9678, 689, 519, 5711, 19659, 609, 4057, 5711, 9882, 1547, 634, 19862, 5820, 540, 5010, 21491, 770, 525, 616, 6140, 3114, 6878, 267, 971, 607, 21973, 543, 31820, 8069, 1547, 634, 3332, 3568, 2963, 3823, 519, 8801, 2360, 540, 21973, 543, 6926, 2286, 8069, 630, 324, 3052, 1421, 25681, 2861, 8069, 264, 1031, 538, 519, 5010, 21491, 770, 525, 4586, 4415, 713, 4282, 538, 2247, 267, 519, 1459, 1353, 6322, 547, 25666, 513, 4874, 615, 4472, 26025, 1510, 1022, 21973, 610, 31820, 8069, 543, 6218, 922, 21734, 3601, 269, 634, 1292, 5820, 540, 713, 26025, 3769, 519, 6978, 21555, 540, 3203, 28087, 807, 1951, 322, 684, 1529, 639, 700, 269, 630, 4696, 299, 1070, 590, 1155, 10937, 737, 327, 15120, 652, 534, 3821, 630, 297, 600, 345, 611, 282, 27699, 297, 1070, 543, 3733, 4135, 639, 1209, 529, 630, 299, 4883, 282, 631, 12710, 1040, 634, 631, 12710, 610, 1250, 337, 1479, 267, 10362, 547, 519, 3733, 4135, 19687, 630, 299, 600, 807, 576, 2801, 264, 1920, 267, 568, 606, 23599, 28033, 1507, 3529, 609, 1507, 16714, 543, 3875, 8371, 1547, 769, 3504, 16392, 11922, 267, 1250, 337, 1479, 3762, 543, 5810, 941, 1031, 585, 519, 2126, 540, 7929, 2042, 267, 7988, 550, 2044, 267, 17256, 8778, 5563, 267, 543, 6596, 15633, 607, 513, 5023, 31683, 4586, 6097, 547, 519, 3332, 267, 519, 1898, 3282, 540, 631, 12710, 814, 14278, 1670, 2238, 267, 1519, 15934, 2073, 21734, 1496, 280, 267, 476, 1015, 3910, 543, 30624, 25193, 2238, 1496, 1556, 267, 476, 1321, 4940, 1703, 568, 2963, 3823, 519, 7409, 7480, 2534, 540, 519, 1898, 3282, 540, 631, 12710, 1996, 24802, 9678, 5711, 23633, 14471, 1547, 3203, 28087, 807, 568, 513, 1507, 543, 31934, 23599, 21906, 689, 519, 589, 3122, 19687, 1920, 2073, 799, 568, 1572, 834, 307, 1046, 327, 517, 257, 538, 9459, 269, 769, 2757, 4915, 267, 713, 2030, 568, 1031, 585, 519, 16185, 540, 7181, 24074, 267, 8611, 267, 543, 3987, 543, 568, 1634, 547, 723, 4550, 13611, 267, 4550, 24733, 553, 12792, 267, 15934, 267, 543, 21734, 2238, 4586, 4002, 519, 824, 1688, 267, 27699, 297, 267, 10362, 547, 519, 19681, 807, 576, 2801, 1920, 267, 568, 14916, 6738, 538, 519, 7187, 10609, 15120, 652, 534, 543, 7013, 22784, 16330, 16899, 540, 9459, 1547, 901, 2030, 814, 12926, 1044, 1031, 585, 17212, 1324, 5694, 1928, 267, 14304, 519, 10733, 267, 543, 7067, 519, 10138, 538, 519, 7013, 851, 540, 9459, 1547, 5047, 267, 713, 10786, 814, 1044, 4294, 585, 21734, 476, 543, 30624, 25193, 476, 5301, 267, 607, 1134, 607, 519, 2126, 540, 11763, 3676, 1496, 736, 268, 2641, 4940, 2060, 2543, 547, 519, 3105, 2090, 8989, 519, 21734, 3601, 540, 4874, 615, 4472, 26025, 1496, 2420, 267, 476, 2537, 3910, 519, 1699, 1353, 729, 5342, 547, 25666, 513, 1007, 4874, 615, 4472, 26025, 5627, 519, 25694, 16909, 21555, 2139, 538, 9459, 543, 6218, 922, 21734, 1494, 1890, 1996, 5711, 13596, 563, 29605, 543, 10613, 454, 27609, 566, 540, 21555, 454, 763, 5084, 299, 729, 12349, 689, 519, 2199, 2344, 267, 543, 631, 12710, 543, 27699, 297, 941, 5423, 609, 519, 11226, 540, 519, 16581, 543, 7849, 8249, 4741, 267, 13259, 341, 1794, 267, 9459, 269, 634, 6394, 2371, 941, 2011, 12015, 538, 12094, 269, 6168, 476, 1015, 575, 540, 1142, 32314, 2011, 12015, 2030, 729, 3773, 547, 1911, 16720, 25062, 30341, 1216, 630, 272, 281, 272, 654, 270, 309, 264, 538, 513, 4837, 581, 6033, 585, 5672, 3130, 267, 543, 1287, 17861, 730, 593, 513, 27414, 695, 6033, 585, 476, 7761, 554, 1547, 769, 519, 1985, 1900, 267, 519, 19288, 540, 20022, 729, 12913, 1210, 1548, 2006, 6882, 1957, 3143, 269, 272, 269, 634, 12974, 3603, 25694, 21555, 941, 18493, 730, 543, 12015, 693, 519, 4055, 2837, 269, 634, 21555, 941, 6740, 538, 2011, 2389, 697, 11149, 693, 910, 736, 391, 504, 290, 2394, 2104, 946, 563, 19859, 13060, 543, 26912, 4918, 7041, 454, 763, 21734, 2534, 540, 2185, 26103, 4551, 630, 294, 1090, 25698, 264, 9678, 689, 4791, 25904, 543, 15443, 5866, 2249, 729, 12290, 269, 589, 2698, 540, 12964, 26103, 4551, 267, 1519, 590, 269, 521, 1481, 529, 267, 590, 269, 2892, 19041, 639, 267, 590, 269, 4573, 753, 267, 543, 700, 269, 2013, 328, 267, 941, 5423, 689, 519, 13792, 6006, 4529, 5833, 689, 519, 4972, 540, 6481, 31814, 267, 13259, 341, 1794, 808, 1495, 880 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1631, 519, 1007, 476, 4649, 286, 3143, 1259, 256, 594, 6557, 711, 2386, 476, 4037, 568, 1256, 519, 1007, 476, 4792, 269, 476, 4037, 1522, 1175, 581, 519, 1007, 476, 4037, 256, 1924, 267, 1018, 779, 2469, 593, 1934, 888, 294, 1068, 337, 8775, 23415, 5206, 267, 968, 2171, 616, 2141, 547, 6000, 1762, 2367, 543, 1762, 2021, 1848, 15516, 269, 23415, 2798, 856, 602, 16148, 942, 568, 1360, 1114, 689, 6662, 942, 269, 8629, 1947, 267, 649, 2085, 835, 1032, 267, 1169, 1032, 269, 13595, 1947, 267, 649, 1810, 1406, 2336, 22428, 594, 6557, 476, 4792, 267, 1843, 1947, 269, 4340, 547, 6671, 7326, 1250, 16148, 2085, 568, 476, 3393, 269, 1809, 1946, 476, 3393, 286, 4208, 711, 476, 3374, 610, 476, 1839, 610, 1256, 476, 1428, 610, 476, 276, 585, 602, 2339, 888, 16039, 269, 23415, 17191, 713, 2243, 2507, 663, 12943, 621, 269, 2311, 476, 4792, 594, 666, 581, 476, 4649, 610, 476, 3393, 610, 476, 3374, 610, 476, 1839, 2507, 20357, 782, 540, 873, 616, 2731, 2048, 1839, 685, 630, 9767, 978, 2367, 543, 1762, 2021, 1040, 1809, 476, 4792, 666, 1406, 581, 519, 1007, 476, 1428, 610, 519, 1007, 476, 276, 269, 4208, 286, 5221, 476, 1428, 4458, 29419, 616, 711, 476, 1428, 267, 6862, 616, 476, 276, 4458, 29419, 476, 276, 269, 5637, 616, 2048, 1839, 685, 1932, 281, 968, 2171, 616, 2141, 547, 6000, 1762, 2367, 543, 1762, 2021, 3034, 1692, 1131, 596, 3113, 707, 2085, 286, 1306, 513, 2786, 1899, 4881, 693, 513, 476, 3393, 4110, 5086, 689, 4332, 630, 271, 267, 271, 264, 547, 2669, 286, 2334, 779, 942, 782, 1318, 267, 855, 621, 568, 6662, 942, 281, 586, 815, 1535, 269, 1717, 267, 1641, 1947, 267, 942, 568, 6140, 513, 6366, 1899, 10126, 267, 6252, 547, 519, 1535, 14289, 267, 4881, 689, 1535, 815, 476, 1839, 547, 1535, 815, 476, 4792, 563, 5804, 4332, 547, 476, 1839, 543, 689, 476, 4792, 593, 267, 16148, 2085, 5205, 513, 20078, 559, 710, 541, 3950, 267, 23756, 1354, 476, 1839, 267, 6677, 1511, 1310, 476, 4792, 269, 1772, 621, 2009, 547, 798, 606, 3830, 585, 602, 888, 1103, 519, 19468, 956, 7260, 267, 14117, 4427, 3405, 710, 267, 3627, 267, 6754, 267, 6723, 267, 543, 681, 22857, 1265, 2933, 538, 2048, 1492, 4262, 540, 942, 9957, 8629, 1947, 267, 789, 1036, 816, 547, 26638, 543, 1287, 4434, 547, 2025, 2085, 267, 782, 538, 519, 2230, 540, 1175, 513, 1906, 3764, 269, 1809, 998, 621, 782, 789, 2611, 968, 9767, 978, 2367, 5608, 1775, 4318, 1421, 2235, 320, 476, 1839, 269, 1358, 2661, 538, 2048, 306, 12888, 6066, 17483, 2414, 2263, 2417, 519, 7326, 540, 519, 14117, 4427, 3405, 710, 267, 3251, 22934, 585, 17136, 1948, 272, 540, 11083, 18225, 267, 16516, 585, 8313, 593, 476, 277, 270, 272, 270, 2420, 267, 543, 2638, 856, 519, 4183, 2376, 267, 3163, 543, 519, 14117, 4427, 3405, 710, 269, 3883, 5658, 513, 548, 1492, 9332, 3736, 2593, 563, 306, 1539, 1214, 2760, 18646, 540, 10213, 721, 547, 2048, 716, 938, 2085, 9957, 1809, 799, 2085, 286, 1284, 616, 938, 1378, 2085, 1152, 1614, 2053, 538, 938, 2729, 281, 2899, 693, 4332, 630, 528, 1354, 1070, 2899, 950, 519, 1079, 13796, 24551, 630, 11357, 11187, 1299, 6662, 264, 12969, 267, 543, 6368, 693, 519, 4090, 540, 938, 2669, 269, 19227, 267, 938, 16148, 2085, 568, 2141, 1114, 689, 938, 6662, 2085, 269, 1215, 666, 594, 957, 1250, 2085, 952, 594, 1810, 1406, 917, 875, 2025, 594, 993, 888, 296, 4076, 2141, 25343, 1453, 945, 1223, 3398, 1373, 1453, 543, 2025, 11570, 945, 1223, 3398, 1373, 2025, 269, 24410, 1076, 568, 267, 594, 4076, 1558, 1360, 1906, 540, 2901, 2336, 296, 666, 1406, 3314, 513, 942, 950, 594, 2219, 540, 8885, 607, 513, 2048, 18876, 9957, 3733, 6689, 729, 606, 796, 15842, 5287, 6560, 547, 9101, 910, 9101, 689, 3237, 267, 9101, 689, 1153, 267, 9101, 689, 6689, 3294, 256, 594, 666, 1406, 3314, 513, 942, 950, 594, 1705, 711, 1616, 547, 581, 476, 1839, 267, 543, 1705, 711, 1589, 540, 8885, 607, 476, 1839, 267, 2394, 1631, 269, 594, 993, 476, 4037, 267, 899, 621, 610, 711, 267, 543, 594, 6557, 4358, 547, 1589, 540, 8885, 607, 476, 4037, 267, 610, 2673, 547, 621, 269, 3733, 24551, 616, 4780, 3101, 2507, 1721, 519, 2063, 942, 269, 0, 2704, 6495, 19203, 14807, 1049, 3163, 1677, 903, 10022, 454, 272, 269, 8262, 10854, 3163, 10905, 519, 2257, 540, 7998, 267, 13608, 267, 17651, 267, 11585, 267, 3092, 269, 883, 519, 3872, 11442, 267, 621, 2306, 1453, 723, 811, 1187, 609, 2257, 538, 519, 27503, 2085, 563, 273, 269, 2353, 519, 2257, 20164, 1118, 519, 13241, 2069, 1454, 811, 4443, 543, 16168, 585, 1142, 1920, 563, 274, 269, 5753, 666, 1451, 1454, 2257, 1702, 1247, 4730, 609, 938, 3872, 2257, 6539, 563, 275, 269, 2353, 519, 2472, 616, 3812, 896, 519, 2298, 6240, 540, 589, 10258, 476, 272, 269, 276, 543, 16783, 519, 4152, 4441, 540, 30680, 674, 280, 8287, 267, 13673, 10170, 267, 6789, 21610, 313, 306, 267, 3092, 563, 1103, 1272, 267, 649, 2141, 12235, 2476, 930, 23987, 3688, 269, 901, 786, 2014, 3653, 543, 786, 2800, 938, 4541, 547, 513, 1978, 6708, 563, 4131, 781, 1205, 3323, 543, 946, 891, 3688, 547, 1118, 930, 4190, 23598, 563, 4131, 1453, 1451, 1702, 543, 1020, 513, 1434, 4356, 540, 9494, 689, 606, 2038, 2085, 563, 2467, 616, 476, 278, 2238, 538, 519, 6539, 912, 12244, 476, 272, 281, 4427, 3405, 710, 454, 12244, 476, 273, 281, 24935, 570, 4209, 454, 12244, 476, 274, 281, 3474, 778, 1393, 454, 12244, 476, 275, 281, 17491, 32423, 454, 12244, 476, 276, 281, 9540, 9412, 564, 454, 12244, 476, 277, 281, 674, 27961, 27822, 454, 12244, 476, 278, 281, 4826, 16513, 6177, 5264, 454, 16085, 1399, 548, 1475, 14807, 1049, 3163, 14173, 267, 7186, 3163, 1677, 903, 2008, 19064, 22326, 12025, 6262, 332, 10534, 3066, 1535, 476, 2918, 269, 276, 1535, 476, 278, 4699, 2008, 347, 13729, 1315, 14295, 517, 1475, 277, 30498, 2008, 18871, 13696, 1315, 14295, 517, 630, 332, 23326, 10534, 271, 269, 271, 6246, 544, 23326, 2008, 347, 294, 1484, 13379, 630, 330, 7714, 10534, 274, 269, 2641, 4846, 2008, 347, 15187, 13379, 630, 330, 7714, 10534, 273, 269, 5038, 11899, 2008, 347, 18184, 611, 1475, 17129, 300, 267, 13673, 10170, 267, 6789, 21610, 313, 306, 267, 3092, 8198, 16085, 3726, 585, 2085, 1475, 277, 1341, 2008, 347, 302, 4932, 1299, 744, 19699, 1475, 13510, 9005, 2008, 16085, 2217, 5384, 1475, 273, 910, 476, 276, 2395, 2008, 19064, 3174, 5384, 1475, 1428, 910, 476, 3393, 2395, 267, 2687, 547, 1931, 7274, 8198, 304, 281, 1548, 568, 519, 17834, 304, 888, 288, 2433, 476, 1001, 277, 5036, 585, 2834, 2450, 6539, 563, 304, 281, 1215, 547, 6494, 519, 5370, 15017, 288, 281, 1284, 2356, 6494, 519, 5370, 676, 7256, 538, 674, 9448, 610, 700, 12710, 267, 543, 649, 849, 1131, 6494, 519, 5370, 676, 2011, 610, 2769, 563, 304, 281, 1215, 547, 1205, 513, 3732, 15017, 288, 281, 1411, 949, 1217, 721, 519, 6221, 1297, 540, 519, 3732, 596, 1131, 899, 547, 723, 267, 649, 786, 5955, 609, 3732, 1045, 4069, 630, 952, 972, 568, 930, 3732, 1942, 8094, 304, 281, 1684, 596, 1683, 744, 4932, 3028, 15017, 288, 281, 8786, 267, 649, 723, 1082, 1296, 1995, 538, 1818, 744, 4932, 9753, 563, 304, 281, 1548, 568, 519, 15205, 2823, 15017, 288, 281, 29305, 6767, 334, 2073, 570, 1014, 329, 514, 267, 29258, 2073, 715, 532, 2692, 563, 304, 281, 2052, 594, 1205, 513, 1906, 3732, 1354, 11093, 1931, 15017, 288, 281, 8786, 267, 649, 666, 2709, 3732, 607, 707, 7662, 269, 1284, 786, 2445, 3732, 12375, 543, 32479, 1310, 596, 1747, 1931, 563, 304, 281, 1548, 827, 519, 1291, 942, 585, 2527, 2504, 15017, 288, 281, 898, 5673, 593, 519, 1931, 7274, 543, 519, 4005, 596, 1747, 519, 1931, 269, 634, 2834, 1291, 942, 568, 476, 3393, 2395, 1310, 649, 4309, 519, 1780, 1449, 1867, 610, 519, 8569, 563, 304, 281, 1548, 568, 707, 1587, 15549, 344, 15017, 288, 2433, 1284, 10018, 519, 2472, 5561, 4607, 616, 11727, 269, 1403, 972, 616, 1022, 7745, 2694, 267, 5225, 6494, 721, 930, 2143, 8666, 676, 661, 17733, 267, 543, 1287, 649, 786, 6494, 596, 519, 10682, 2694, 2687, 547, 519, 4890, 2175, 0, 1607, 2022, 814, 1044, 1224, 476, 13647, 4200, 2053, 2336, 288, 5619, 5342, 676, 519, 1977, 623, 1168, 3194, 4741, 538, 2904, 476, 1220, 280, 593, 2818, 540, 519, 1977, 5948, 585, 519, 21992, 618, 540, 3163, 1336, 602, 789, 616, 1454, 1447, 3909, 982, 519, 2489, 1857, 269, 2859, 982, 3368, 540, 873, 3494, 538, 930, 1106, 540, 2696, 610, 513, 16750, 1379, 267, 855, 519, 4099, 1336, 602, 519, 8167, 1851, 519, 1964, 540, 4892, 14380, 547, 476, 4817, 260, 2336, 1103, 513, 811, 2487, 5619, 267, 476, 275, 856, 540, 476, 1015, 3744, 1705, 711, 3494, 538, 513, 16750, 1379, 855, 1152, 476, 275, 260, 540, 741, 4961, 3838, 519, 1482, 6644, 563, 763, 5767, 5619, 540, 3744, 5702, 5205, 3105, 12220, 267, 799, 6027, 741, 8369, 827, 4984, 267, 543, 519, 1101, 540, 891, 6901, 729, 5342, 538, 476, 4489, 275, 676, 519, 18230, 12677, 18673, 6276, 700, 18866, 267, 945, 5342, 1010, 1382, 593, 519, 8369, 540, 827, 476, 272, 267, 1822, 3744, 538, 519, 2136, 2276, 540, 3013, 547, 2307, 873, 827, 741, 8369, 827, 2696, 634, 3621, 2146, 568, 14961, 5258, 267, 609, 476, 5655, 260, 18468, 538, 513, 1808, 267, 30753, 25976, 267, 1247, 513, 2147, 6871, 1767, 789, 798, 711, 563, 5415, 982, 476, 3199, 1296, 2663, 267, 11977, 700, 1513, 517, 267, 513, 14787, 540, 2257, 945, 729, 693, 519, 942, 3450, 693, 519, 2160, 540, 11908, 267, 6963, 4327, 519, 700, 18866, 5619, 267, 6998, 519, 1482, 2055, 547, 519, 1482, 1297, 540, 3744, 269, 898, 1336, 602, 476, 2412, 260, 540, 3744, 3494, 538, 513, 2123, 2696, 267, 1247, 476, 3393, 260, 2161, 789, 798, 711, 267, 543, 824, 12220, 540, 3744, 723, 26857, 5176, 2147, 2164, 563, 11693, 519, 1970, 2338, 543, 2157, 540, 3661, 540, 513, 1804, 8167, 540, 3744, 538, 513, 16750, 1379, 267, 621, 568, 711, 9670, 602, 519, 8167, 540, 1346, 945, 798, 711, 4866, 547, 1022, 4984, 568, 1454, 2362, 982, 621, 568, 1851, 519, 1455, 1004, 269, 4935, 267, 621, 5205, 602, 1034, 3909, 5389, 616, 6719, 538, 4130, 2338, 538, 519, 3621, 2146, 982, 538, 519, 1857, 607, 513, 2898, 563, 2690, 1383, 267, 649, 1265, 602, 519, 8167, 540, 14308, 1218, 538, 519, 3621, 2146, 13054, 1152, 476, 2641, 9077, 5103, 519, 1249, 602, 27685, 25025, 540, 873, 2099, 1152, 476, 2764, 260, 540, 519, 1977, 2551, 267, 543, 741, 6871, 13054, 1152, 513, 1507, 10126, 630, 275, 8472, 540, 519, 3621, 2146, 269, 589, 8037, 9868, 568, 602, 7642, 267, 945, 1118, 909, 513, 3677, 8167, 540, 519, 3621, 2146, 630, 279, 15992, 1118, 909, 1152, 476, 273, 260, 540, 519, 2489, 1977, 2551, 563, 288, 623, 1168, 3194, 4741, 5619, 849, 1336, 602, 2157, 540, 3909, 3661, 1851, 3744, 4268, 2687, 547, 741, 3621, 29286, 543, 2085, 1895, 269, 1280, 1383, 267, 476, 6078, 260, 540, 2447, 1235, 3494, 538, 513, 6456, 10143, 1379, 267, 513, 3677, 8167, 982, 1346, 2324, 538, 824, 2101, 3621, 4610, 269, 11531, 267, 7820, 3744, 267, 6502, 476, 1240, 547, 476, 4097, 267, 616, 811, 2693, 547, 3494, 538, 16750, 1379, 982, 1346, 945, 616, 4587, 563, 288, 623, 1168, 4741, 1353, 267, 1644, 547, 3909, 4282, 267, 5763, 543, 2069, 267, 4951, 602, 7642, 616, 519, 1034, 13473, 267, 609, 606, 3328, 2671, 540, 476, 1724, 269, 275, 1296, 540, 18375, 267, 1247, 10271, 723, 476, 280, 269, 274, 1296, 563, 296, 4734, 621, 547, 596, 547, 7447, 519, 829, 21027, 2671, 540, 2069, 538, 938, 2477, 267, 1256, 1498, 649, 616, 519, 5207, 538, 519, 1158, 538, 519, 1297, 540, 25963, 540, 17170, 4387, 622, 5232, 563, 324, 17733, 281, 1496, 16942, 6870, 2639, 3528, 13259, 24703, 620, 338, 541, 571, 325, 0, 24309, 676, 32000, 12243, 454, 18455, 513, 2385, 568, 513, 1025, 1170, 995, 1995, 269, 3509, 1131, 3409, 972, 568, 1100, 1995, 1732, 982, 8384, 741, 1126, 1332, 269, 898, 568, 3274, 513, 10508, 547, 4585, 513, 1126, 979, 1498, 519, 1114 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 11418, 723, 4824, 282, 519, 6323, 568, 519, 1482, 269, 1924, 1175, 1317, 972, 616, 930, 2338, 602, 1413, 899, 789, 1118, 513, 1448, 267, 621, 3085, 1405, 8209, 1611, 789, 2811, 2953, 563, 1103, 1840, 267, 2015, 875, 519, 15408, 2965, 6494, 1239, 269, 1411, 723, 547, 10575, 1074, 547, 513, 9682, 269, 1403, 602, 9682, 3884, 1405, 538, 2039, 540, 519, 3077, 267, 621, 814, 547, 6494, 513, 5365, 547, 1776, 835, 269, 2334, 1522, 723, 547, 4755, 513, 1297, 540, 2053, 1354, 596, 3914, 513, 9682, 538, 519, 1318, 13664, 2990, 267, 799, 1287, 1524, 31904, 547, 513, 2666, 9744, 267, 799, 3096, 10814, 547, 1921, 547, 519, 3984, 267, 799, 1287, 17066, 519, 2666, 9744, 609, 519, 1239, 267, 799, 15920, 602, 547, 519, 9682, 267, 799, 814, 547, 6494, 519, 1267, 1394, 547, 707, 9682, 267, 543, 1287, 621, 21128, 693, 707, 2777, 269, 2353, 891, 2188, 1223, 6338, 26125, 2042, 267, 543, 930, 1223, 6338, 19961, 2042, 269, 1403, 972, 3884, 1405, 513, 10375, 569, 2000, 11343, 2666, 9744, 585, 707, 10278, 267, 596, 1522, 1439, 909, 7680, 1034, 540, 519, 10814, 8488, 19037, 269, 1403, 596, 2811, 1310, 513, 7746, 538, 513, 1747, 899, 14135, 267, 609, 513, 2603, 540, 13763, 543, 2370, 4055, 585, 9682, 1524, 15062, 2230, 267, 596, 1522, 1265, 602, 519, 5266, 1906, 15408, 972, 616, 8185, 21002, 2989, 269, 589, 2603, 540, 713, 568, 2352, 547, 5173, 1510, 1569, 547, 519, 2407, 12319, 602, 519, 2754, 814, 543, 27378, 693, 851, 540, 621, 269, 2311, 2547, 267, 711, 2394, 621, 2965, 4422, 883, 3028, 543, 649, 666, 1995, 621, 585, 6000, 269, 19402, 1287, 267, 596, 1522, 1616, 547, 1589, 7466, 1354, 30418, 621, 781, 17386, 1967, 609, 971, 25525, 269, 0, 28406, 532, 5800, 762, 20905, 454, 10144, 945, 2951, 513, 2603, 267, 2523, 585, 1870, 267, 7048, 593, 24195, 543, 5985, 3457, 971, 607, 16389, 543, 14342, 1813, 547, 741, 11741, 2470, 543, 8897, 540, 3560, 269, 6736, 741, 8560, 543, 13418, 267, 891, 2934, 849, 1118, 873, 513, 11275, 585, 20737, 269, 23496, 707, 5985, 3457, 616, 5150, 568, 1271, 547, 2149, 519, 3926, 543, 1022, 1239, 621, 3568, 563, 1432, 666, 594, 798, 888, 20376, 675, 707, 15409, 3457, 609, 891, 1614, 2656, 17993, 912, 268, 24344, 707, 3926, 543, 2149, 707, 1344, 676, 1210, 513, 5496, 9376, 267, 14238, 543, 5781, 25380, 909, 6119, 454, 268, 2422, 5150, 3301, 543, 1118, 2386, 621, 568, 909, 547, 4266, 454, 268, 2142, 6297, 1210, 1857, 15261, 19712, 5121, 454, 1432, 568, 693, 1981, 888, 2791, 616, 519, 1152, 835, 945, 666, 6430, 1018, 568, 2965, 538, 8594, 269, 1879, 513, 555, 3971, 3217, 707, 15291, 610, 5985, 3926, 267, 519, 3119, 2530, 568, 519, 2168, 3926, 3294, 269, 1403, 513, 555, 3971, 568, 2111, 547, 1569, 513, 2780, 610, 5985, 3926, 267, 782, 540, 519, 1239, 6740, 593, 519, 3926, 568, 538, 8594, 267, 7132, 1022, 2417, 1344, 789, 666, 2744, 689, 602, 3355, 1239, 563, 4462, 17769, 7606, 1058, 581, 15286, 689, 11543, 1569, 547, 4105, 9746, 610, 6075, 1239, 269, 12267, 540, 3906, 7680, 11784, 1813, 547, 4503, 610, 21687, 24195, 5627, 6213, 1239, 616, 1455, 269, 4634, 952, 707, 15291, 610, 6049, 1281, 711, 2270, 14804, 9746, 1239, 267, 972, 568, 824, 1344, 602, 666, 581, 2322, 693, 1981, 267, 971, 607, 13393, 3877, 267, 18538, 267, 4757, 9607, 543, 3346, 9623, 267, 2123, 1344, 585, 2228, 6589, 267, 3092, 563, 1432, 5686, 540, 15409, 3457, 798, 594, 991, 547, 2149, 888, 300, 9394, 3457, 899, 11436, 267, 14342, 267, 543, 24195, 723, 1831, 606, 7533, 851, 540, 938, 2729, 269, 4658, 1419, 946, 891, 3457, 585, 12948, 267, 15737, 543, 10918, 593, 519, 4950, 563, 3963, 568, 621, 1271, 888, 28406, 707, 1344, 543, 2569, 519, 1981, 540, 1373, 513, 3077, 547, 6880, 322, 3234, 10904, 676, 17516, 707, 15409, 3457, 563, 21545, 762, 3457, 616, 1390, 585, 2238, 602, 4125, 2123, 1239, 971, 607, 12948, 267, 4757, 532, 543, 10918, 269, 901, 2306, 707, 5985, 3457, 513, 14909, 3077, 585, 6880, 20737, 269, 898, 568, 1898, 547, 1832, 707, 3457, 5150, 689, 6880, 322, 3234, 10904, 945, 666, 2744, 1569, 547, 873, 998, 519, 4950, 543, 796, 31261, 3301, 269, 0, 4002, 519, 6532, 540, 10084, 538, 12868, 267, 519, 12054, 518, 340, 18962, 30192, 593, 10732, 5412, 476, 275, 267, 513, 1032, 1310, 513, 14686, 9568, 269, 634, 4741, 585, 26439, 1108, 543, 10644, 540, 24959, 2598, 7539, 630, 11901, 11586, 294, 264, 814, 4956, 547, 6318, 519, 10332, 1377, 540, 6778, 12054, 518, 340, 689, 1377, 1614, 547, 1377, 2185, 267, 519, 5207, 269, 968, 1607, 1797, 602, 8594, 27938, 20651, 2127, 543, 602, 519, 2534, 540, 519, 18962, 814, 14556, 1881, 892, 30161, 7134, 1010, 22557, 17367, 267, 26673, 571, 25511, 1177, 534, 267, 547, 519, 918, 20234, 553, 7641, 8756, 563, 299, 11343, 538, 519, 7532, 540, 519, 6532, 540, 10084, 267, 540, 799, 621, 568, 519, 5207, 1448, 267, 609, 606, 15820, 540, 476, 274, 267, 6858, 277, 7397, 267, 6778, 12054, 518, 340, 22883, 606, 11849, 6531, 827, 476, 272, 269, 276, 5998, 1164, 593, 10732, 269, 3143, 25096, 941, 4080, 5612, 1310, 519, 20349, 267, 855, 6004, 25511, 1177, 534, 15695, 7404, 7264, 547, 3251, 693, 2547, 476, 279, 14790, 2476, 689, 519, 28188, 563, 12041, 885, 849, 4280, 1004, 547, 2057, 513, 476, 1724, 5998, 1279, 1858, 2059, 513, 5757, 267, 2509, 799, 519, 15027, 11849, 6531, 729, 3001, 269, 17125, 1562, 723, 1044, 1305, 909, 547, 2777, 19774, 1004, 267, 543, 8128, 723, 7856, 13968, 547, 7404, 7264, 547, 2149, 873, 689, 2011, 5533, 689, 519, 11849, 563, 23219, 940, 540, 23329, 1981, 538, 3567, 454, 309, 23450, 21883, 593, 1514, 2923, 4951, 726, 6979, 540, 8673, 8375, 689, 6778, 12054, 518, 340, 543, 693, 2547, 835, 8498, 4988, 538, 11849, 543, 10627, 1117, 538, 513, 4158, 5134, 269, 2991, 519, 20349, 267, 519, 5769, 729, 2759, 543, 519, 5985, 15146, 3060, 729, 25768, 267, 2687, 547, 513, 19784, 689, 3397, 775, 5333, 6261, 637, 572, 630, 288, 17025, 1916, 2690, 922, 851, 267, 519, 5545, 25561, 1670, 10837, 19230, 540, 513, 2009, 23329, 267, 3361, 676, 519, 20349, 540, 519, 24414, 18962, 267, 1472, 476, 277, 281, 1789, 513, 6230, 1421, 538, 519, 10195, 540, 631, 12011, 752, 334, 543, 962, 2801, 344, 4821, 267, 538, 519, 3665, 5045, 540, 519, 2895, 28396, 269, 5545, 267, 2687, 547, 519, 19109, 29081, 3377, 8116, 269, 1323, 5662, 2663, 267, 2705, 267, 1100, 3441, 1185, 1044, 4080, 563, 763, 2063, 20349, 540, 6778, 12054, 518, 340, 267, 538, 5412, 476, 1708, 272, 267, 7166, 693, 2547, 476, 7906, 1004, 269, 631, 644, 16435, 1938, 543, 11849, 1266, 5285, 539, 3003, 14252, 543, 5176, 476, 1015, 267, 1822, 1004, 1185, 547, 25176, 741, 5321, 269, 12868, 18795, 593, 519, 7414, 23580, 540, 9605, 267, 1141, 519, 5870, 540, 18626, 10824, 3123, 2178, 15027, 543, 20381, 2534, 269, 634, 14913, 7489, 2895, 28396, 814, 827, 476, 9873, 3742, 22747, 269, 0, 4002, 2789, 14026, 649, 25657, 1312, 2474, 267, 543, 811, 865, 950, 649, 798, 711, 917, 741, 2589, 543, 741, 1880, 4162, 269, 1677, 16174, 873, 267, 596, 1590, 917, 741, 2589, 543, 741, 2360, 593, 519, 1480, 1560, 543, 593, 519, 3232, 1272, 540, 1346, 945, 7985, 689, 873, 563, 1432, 568, 1488, 9374, 888, 2005, 568, 519, 6553, 540, 519, 10549, 267, 950, 713, 4523, 789, 10413, 267, 2220, 749, 543, 1745, 3905, 547, 519, 5905, 269, 18748, 539, 10549, 6336, 10688, 543, 666, 1831, 632, 11526, 269, 1403, 621, 5540, 1152, 835, 4745, 621, 568, 1634, 607, 1395, 24763, 267, 952, 621, 5540, 476, 273, 610, 476, 274, 621, 568, 1634, 607, 23731, 24763, 543, 952, 621, 5540, 476, 275, 610, 811, 8195, 649, 616, 538, 519, 4527, 540, 4874, 541, 9374, 563, 17843, 3676, 543, 25102, 27689, 616, 1634, 547, 2014, 12263, 267, 971, 607, 27131, 12263, 543, 922, 14726, 267, 11174, 7329, 11340, 987, 545, 12263, 267, 11763, 12263, 267, 2890, 322, 15009, 531, 12263, 267, 6281, 12263, 267, 19535, 12263, 267, 543, 5778, 12949, 545, 12263, 563, 6635, 9374, 568, 711, 1813, 547, 513, 2014, 538, 3294, 267, 855, 972, 616, 827, 476, 1911, 1114, 3676, 602, 666, 2014, 621, 269, 898, 666, 723, 1360, 3978, 4539, 971, 607, 1928, 543, 2530, 540, 10688, 538, 519, 4745, 269, 634, 2126, 666, 581, 5645, 856, 609, 1585, 5061, 4470, 593, 519, 5169, 543, 1826, 540, 12263, 563, 1432, 568, 27777, 24763, 888, 2005, 814, 1044, 513, 5312, 2068, 602, 666, 1831, 12982, 1813, 547, 519, 11636, 5957, 540, 20162, 543, 10549, 269, 634, 10549, 602, 616, 4299, 6336, 10688, 267, 1831, 632, 11526, 543, 2014, 1928, 269, 898, 568, 519, 1034, 1455, 18212, 9964, 2068, 538, 519, 11361, 563, 11795, 3720, 1063, 12263, 543, 30169, 454, 268, 27777, 24763, 568, 513, 28115, 894, 543, 1875, 13611, 2068, 269, 634, 20162, 538, 519, 10549, 28115, 919, 543, 31273, 2476, 4929, 519, 7633, 547, 6299, 269, 898, 4386, 538, 1004, 609, 4719, 3676, 602, 1860, 24561, 5160, 563, 268, 1488, 9374, 568, 6553, 540, 519, 10549, 269, 634, 4745, 568, 22224, 543, 7959, 3905, 547, 519, 5905, 269, 898, 666, 581, 3361, 676, 1585, 16991, 3676, 563, 268, 1548, 568, 519, 3017, 1063, 10089, 574, 807, 543, 1323, 24803, 286, 4270, 6045, 454, 268, 1548, 568, 519, 3017, 1063, 1981, 543, 8594, 286, 4270, 6045, 454, 268, 1548, 568, 519, 3017, 1063, 10684, 543, 2405, 1709, 888, 268, 1548, 568, 519, 3017, 1063, 7553, 543, 4743, 286, 4270, 6045, 454, 268, 1548, 568, 519, 3017, 1063, 5027, 543, 10717, 286, 4270, 6045 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 17524, 1648, 568, 5150, 267, 952, 519, 2197, 8060, 610, 6971, 922, 13829, 593, 5007, 7727, 540, 1875, 516, 2908, 762, 2200, 269, 901, 568, 513, 1434, 2601, 547, 6443, 519, 5859, 585, 513, 2973, 543, 1863, 1648, 2104, 563, 291, 3041, 4696, 309, 19611, 17803, 5508, 654, 18853, 300, 21135, 454, 2171, 3494, 602, 4376, 602, 814, 606, 5413, 1590, 15983, 594, 723, 513, 19319, 269, 1924, 1631, 568, 547, 1413, 883, 519, 11393, 540, 6489, 17524, 543, 789, 1331, 3248, 268, 589, 2842, 17524, 568, 7199, 281, 634, 4070, 540, 6489, 17524, 568, 7199, 1317, 519, 1942, 540, 10380, 543, 6718, 568, 1164, 693, 519, 3355, 942, 269, 634, 11653, 602, 12220, 519, 1858, 1354, 10380, 607, 1134, 267, 6283, 547, 519, 1747, 540, 946, 267, 10380, 267, 543, 824, 3157, 547, 3035, 922, 1264, 28467, 269, 2353, 891, 1500, 2842, 17524, 1360, 7199, 267, 4352, 519, 1942, 568, 4227, 519, 1249, 3788, 602, 621, 568, 7199, 563, 268, 634, 2842, 11385, 919, 281, 4014, 2842, 1648, 25579, 8460, 543, 538, 1410, 9151, 1043, 267, 621, 568, 1869, 711, 3586, 607, 519, 3432, 2242, 689, 942, 547, 942, 269, 901, 13514, 513, 1966, 547, 519, 2842, 17524, 4929, 621, 547, 1685, 28537, 569, 563, 268, 589, 2842, 17524, 568, 26776, 281, 538, 607, 1454, 607, 2842, 17524, 1281, 711, 3542, 1393, 519, 2011, 609, 6757, 3653, 267, 621, 3542, 2373, 519, 1604, 609, 6846, 269, 901, 6846, 814, 1831, 513, 1390, 4161, 547, 9082, 23493, 1472, 621, 1317, 519, 3280, 12599, 607, 2484, 607, 476, 1911, 332, 2476, 269, 901, 568, 519, 2601, 585, 519, 10380, 540, 2842, 332, 1571, 593, 10239, 543, 1055, 519, 7470, 563, 2690, 607, 1279, 607, 519, 3618, 3788, 5180, 543, 18343, 267, 2842, 666, 2760, 581, 25356, 269, 6489, 17524, 814, 2097, 513, 1360, 1279, 1259, 2479, 2094, 621, 779, 1101, 946, 269, 634, 2413, 8441, 593, 2842, 17524, 1118, 621, 606, 13476, 7874, 2655, 15856, 550, 585, 10173, 538, 519, 2504, 540, 5201, 563, 20360, 1379, 814, 1831, 835, 540, 519, 1655, 2081, 547, 4194, 519, 1158, 779, 2810, 1648, 3747, 1317, 519, 2842, 568, 2973, 267, 1875, 3562, 13877, 267, 538, 1410, 9151, 1043, 267, 543, 1863, 563, 763, 1158, 814, 1044, 998, 1082, 2825, 10898, 998, 19713, 1648, 689, 8093, 10173, 543, 6046, 6547, 269, 1284, 616, 593, 513, 1291, 585, 513, 2973, 543, 1863, 1648, 2104, 269, 15012, 938, 5859, 585, 513, 2973, 543, 1863, 1648, 2104, 998, 2069, 543, 5092, 538, 7791, 1648, 2200, 269, 6178, 909, 547, 938, 20394, 547, 4309, 10311, 593, 7791, 1648, 2200, 269, 2793, 296, 295, 4596, 307, 17248, 0, 1692, 798, 596, 16174, 1948, 325, 3287, 6661, 630, 343, 268, 272, 19422, 343, 266, 272, 8203, 274, 258, 1210, 519, 23479, 4341, 888, 8794, 519, 23479, 4341, 267, 596, 949, 1577, 454, 1103, 1931, 547, 4194, 713, 596, 1131, 946, 454, 8245, 2952, 267, 519, 5832, 4341, 666, 581, 1031, 865, 602, 454, 6518, 267, 1310, 9750, 21591, 3086, 609, 519, 1702, 540, 519, 16755, 540, 579, 543, 642, 267, 596, 666, 16174, 519, 1599, 1210, 519, 23479, 4341, 676, 2655, 23082, 538, 519, 642, 543, 579, 2418, 912, 5475, 28976, 267, 713, 3947, 912, 7617, 568, 707, 3803, 2626, 269, 0, 5591, 835, 814, 2479, 20335, 998, 2852, 1510, 2348, 547, 1353, 269, 1284, 782, 723, 938, 1114, 1797, 267, 855, 835, 1455, 1259, 568, 998, 519, 946, 540, 15460, 563, 14503, 1662, 6486, 616, 513, 942, 2389, 6479, 1353, 3926, 602, 814, 960, 585, 513, 2601, 282, 621, 779, 2241, 269, 1411, 2328, 513, 2165, 593, 835, 2427, 543, 593, 519, 1394, 596, 2328, 621, 779, 4214, 267, 1287, 596, 27125, 543, 10956, 2394, 596, 3893, 782, 540, 707, 2474, 1287, 596, 695, 28984, 543, 1353, 563, 19138, 19990, 568, 513, 1863, 813, 602, 666, 543, 786, 5372, 782, 540, 707, 15460, 543, 3362, 5595, 952, 711, 17784, 707, 4398, 950, 4974, 563, 14881, 12517, 554, 730, 602, 713, 813, 4769, 1406, 2291, 4505, 950, 594, 729, 513, 4195, 2006, 2223, 1767, 24138, 700, 2967, 267, 476, 2918, 267, 3203, 11683, 267, 620, 30282, 454, 2005, 779, 2653, 1107, 596, 666, 946, 621, 593, 707, 7193, 19072, 659, 543, 2253, 17511, 856, 2474, 543, 8847, 593, 2901, 2427, 563, 763, 813, 12662, 782, 540, 891, 6486, 883, 513, 17835, 585, 1022, 1641, 543, 596, 666, 1569, 873, 593, 1022, 540, 707, 5348, 1027, 3457, 563, 5629, 596, 723, 873, 267, 519, 813, 666, 695, 28984, 873, 585, 596, 267, 1711, 513, 2789, 3903, 1449, 1759, 1055, 1018, 596, 5206, 610, 2241, 7688, 596, 538, 513, 4351, 610, 840, 5498, 21124, 1931, 593, 707, 6486, 563, 4002, 1283, 540, 782, 713, 519, 813, 2636, 596, 547, 2671, 891, 15597, 609, 4896, 2921, 513, 2147, 1362, 267, 2671, 873, 1152, 609, 707, 2828, 267, 610, 1175, 1832, 873, 4625, 4357, 547, 596, 563, 2108, 7069, 17511, 3432, 568, 3362, 476, 275, 610, 476, 276, 2053, 5488, 982, 1250, 1603, 3432, 267, 865, 1818, 8755, 6486, 729, 2706, 2653, 543, 4769, 1406, 10413, 2223, 1767, 31611, 700, 18319, 267, 476, 2190, 563, 15371, 596, 2461, 513, 5884, 3620, 731, 2875, 945, 11339, 1524, 3388, 14311, 998, 4050, 543, 1957, 267, 610, 513, 2875, 945, 1152, 6770, 741, 15291, 547, 1153, 267, 596, 991, 547, 1491, 4967, 267, 543, 713, 1223, 1118, 602, 3003, 1184, 1454, 4443, 543, 5488, 563, 10214, 952, 1603, 835, 779, 1378, 15460, 3085, 1406, 3100, 13267, 972, 568, 1869, 1776, 2460, 547, 713, 813, 563, 3080, 666, 19584, 998, 6634, 540, 1164, 1153, 267, 2852, 1256, 18544, 1377, 5049, 543, 1265, 15460, 1866, 723, 1500, 2139, 547, 519, 1857, 563, 18455, 2111, 547, 1353, 4977, 1570, 1510, 2348, 547, 979, 998, 519, 1928, 540, 4466, 782, 519, 1318, 4267, 3217, 513, 5458, 4452, 1055, 540, 1022, 2875, 563, 14881, 6557, 513, 1434, 1268, 865, 594, 2356, 1131, 1175, 1131, 4734, 1250, 15460, 594, 1500, 2139, 547, 4896, 945, 4941, 547, 946, 873, 2223, 1767, 476, 736, 4458, 6040, 8642, 1374, 2101, 24697, 31513, 269, 0, 2108, 8893, 476, 276, 11819, 7698, 281, 634, 28527, 1280, 628, 540, 519, 3883, 540, 30963, 2223, 25043, 540, 519, 26198, 11819, 7698, 630, 1001, 280, 994, 2108, 8893, 476, 276, 11819, 7698, 2223, 25043, 540, 519, 26198, 11819, 7698, 454, 11514, 2452, 513, 4605, 540, 5651, 18223, 30565, 532, 519, 10824, 563, 16485, 1053, 547, 4766, 1018, 789, 917, 827, 1018, 568, 8345, 538, 519, 4605, 269, 1411, 1522, 849, 2307, 1018, 789, 1589, 5651, 18223, 6785, 827, 519, 1764, 519, 2594, 1131, 723, 593, 2104, 5481, 563, 1103, 341, 924, 1053, 547, 1224, 30963, 476, 279, 281, 1321, 1700, 1626, 267, 3168, 585, 1018, 5651, 18223, 6026, 827, 519, 4947, 8521, 540, 519, 3883, 540, 30963, 563, 1432, 1705, 5651, 18223, 1616, 547, 1118, 2312, 827, 519, 4947, 8521, 540, 519, 3883, 540, 30963, 888, 11514, 2452, 519, 1739, 3948, 676, 9478, 8055, 602, 646, 1419, 7368, 950, 4280, 827, 519, 3883, 540, 30963, 8144, 912, 296, 1705, 14377, 519, 3883, 540, 30963, 676, 519, 10516, 543, 1379, 540, 2696, 269, 630, 297, 24944, 8055, 267, 538, 6276, 6022, 1067, 267, 4750, 267, 476, 4037, 267, 5783, 3778, 7732, 267, 634, 5783, 540, 4906, 2441, 540, 700, 2660, 6377, 29513, 267, 17865, 8235, 4975, 267, 18096, 282, 3854, 1436, 2413, 1242, 994, 1103, 341, 924, 1053, 547, 2671, 1018, 789, 4362, 538, 519, 7041, 1570, 827, 875, 519, 3883, 540, 30963, 3357, 8521, 968, 2421, 519, 10516, 543, 1379, 540, 2696, 1848, 630, 2252, 2877, 267, 5000, 1053, 547, 13713, 2689, 3296, 476, 272, 540, 519, 7041, 1570, 4700, 1411, 1223, 849, 16436, 873, 547, 2307, 1022, 2055, 789, 1522, 723, 689, 741, 1353, 827, 519, 8144, 540, 519, 3883, 540, 30963, 563, 1103, 341, 924, 1053, 547, 2689, 1018, 789, 4121, 689, 519, 6898, 676, 9478, 8055, 543, 26744, 3026, 531, 589, 269, 7665, 6202, 693, 519, 1439, 540, 3296, 476, 272, 540, 519, 7041, 1570, 269, 630, 2791, 949, 1616, 547, 16436, 513, 2875, 547, 1224, 891, 6898, 16965, 8094, 3963, 798, 596, 1589, 649, 1058, 581, 811, 7255, 609, 519, 968, 11357, 560, 766, 540, 519, 1433, 892, 982, 968, 5976, 519, 1184, 676, 799, 649, 4607, 621, 892, 888, 16485, 1053, 875, 1082, 540, 873, 1131, 899, 547, 1294, 519, 4154, 10824, 585, 2933, 543, 1946, 563, 3963, 798, 596, 1589, 519, 7083, 1281, 711, 6961, 519, 13597, 540, 519, 3883, 540, 30963, 676, 3850, 519, 10824, 543, 824, 13742, 547, 581, 3254, 547, 519, 1158, 888, 1103, 341, 924, 1053, 547, 1224, 1684, 551, 9068, 543, 595, 8576, 1218, 476, 276, 281, 274, 267, 476, 277, 1700, 278, 267, 3168, 585, 1946, 9478, 1705, 711, 1397, 519, 10824, 547, 1346, 945, 4941, 6169, 269, 5620, 1053, 2491, 1018, 519, 18627, 4001, 563, 23737, 602, 713, 13414, 729, 2016, 547, 9478, 607, 513, 1267, 540, 9410, 20831, 6998, 585, 513, 7198, 602, 9478, 1185, 519, 4154, 10824, 269, 9410, 729, 9478, 779, 3659, 543, 1185, 519, 2883, 2702, 547, 948, 15476, 519, 3883, 540, 30963, 2899, 621, 729, 12261, 269, 9410, 779, 7385, 267, 21667, 267, 9411, 513, 24255, 547, 519, 2199, 4012, 626, 3433, 267, 934, 6748, 9478, 540, 1219, 571, 24851, 1200, 9393, 543, 1866, 585, 2883, 2744, 269, 769, 4728, 476, 9264, 280, 9410, 4682, 547, 24442, 267, 12425, 267, 547, 2307, 9478, 8055, 585, 2963, 540, 519, 10824, 685, 6228, 563, 1103, 341, 924, 1053, 547, 1224, 1684, 551, 9068, 543, 595, 8576, 1218, 476, 276, 281, 1556, 1700, 1428, 267, 3168, 585, 835, 1259, 519, 7083, 1131, 3715, 519, 5168, 540, 519, 3883, 540, 30963, 2594, 269, 9105, 1053, 547, 2491, 1018, 789, 1451, 689, 891, 18627, 563, 23737, 602, 519, 7083, 7000, 602, 9410, 20831, 1223, 581, 835, 540, 519, 8422, 654, 5893, 525, 952, 646, 1131, 968, 11312, 1524, 892, 543, 968, 327, 18443, 5128, 538, 22800, 11755, 543, 5132, 892, 630, 2710, 551, 9068, 543, 595, 8576, 1218, 476, 276, 281, 2190, 1040, 8422, 3275, 2663, 9478, 14376, 9410, 20831, 547, 6443, 20182, 21582, 1457, 344, 543, 6424, 18724, 1067, 538, 5275, 519, 2027, 7198, 519, 7083, 1185, 16219, 563, 11514, 2452, 519, 4605, 540, 9478, 8055, 543, 519, 8422, 654, 5893, 525, 689, 519, 7041, 1570, 267, 543, 2307, 519, 1362, 547, 22281, 1018, 5949, 950, 891, 2367, 7281, 539, 585, 513, 7198, 540, 519, 10824, 563, 1692, 1705, 9478, 1745, 827, 519, 8422, 654, 5893, 525, 7487, 519, 10824, 286, 630, 2252, 2877, 267, 723, 1053, 2689, 21667, 27963, 8055, 779, 2272, 538, 519, 7041, 1570, 8094, 1692, 568, 519, 21981, 540, 519, 8422, 654, 5893, 525, 22541, 676, 519, 1249, 602, 789, 2760, 17792, 741, 7198, 267, 1256, 950, 1142, 540, 873, 729, 1609, 337, 6548, 689, 519, 21024, 543, 519, 5783, 888, 1103, 341, 924, 1053, 547, 1224, 1684, 551, 9068, 543, 595, 8576, 1218, 476, 276, 281, 1428, 1700, 1626, 543, 5651, 18223, 476, 1015, 281, 274, 1700, 276, 267, 3168, 585, 875, 782, 1004, 666, 2744, 513, 7198, 540, 519, 5168, 6888, 540, 519, 3883, 540, 30963, 269, 1306, 1053, 2491, 1018, 789, 4121, 689, 891, 27403, 15102, 267, 948, 873, 2697, 513, 6240, 2147, 547, 519, 1739, 281, 634, 7083, 786, 8915, 519, 5168, 6888, 540, 519, 3883, 540, 30963, 998, 519, 10513, 26415, 547, 782, 945, 3343, 513, 7198, 563, 1692, 1281, 513, 7198, 689, 519, 10513, 26415, 5635, 609, 2168, 2963, 267, 899, 7487, 519, 10824, 610, 2348, 513, 2347, 1702, 540, 782, 540, 519, 3877, 540, 519, 3883, 540, 30963, 8144, 888, 1103, 341, 924, 513, 2875, 547, 1224, 16965, 519, 1739, 1650, 689, 19656, 570, 611, 681, 269, 11910, 3563, 267, 5449, 4937, 10732, 3427, 5518, 912, 3080, 540, 1250, 1434, 543, 6505, 2828, 2451, 519, 5783, 585, 513, 942, 269, 1261, 5063, 5206, 547, 803, 540, 1010, 2132, 281, 968, 22873, 6053, 267, 594, 4941, 519, 3883, 540, 30963, 547, 581, 8810, 547, 803, 13840, 267, 32321, 267, 8059, 12264, 267, 543, 15520, 269, 1809, 950, 594, 4957, 1250, 1445, 547, 1018, 621, 11414, 827, 519, 22258, 540, 4906, 2441, 543, 3571, 9494, 5692, 267, 594, 3459, 547, 2744, 513, 21981, 540, 922, 5168, 6888, 269, 2290, 1554, 1247, 2542, 519, 3883, 540, 30963, 538, 1250, 4055, 267, 594, 17328, 4310, 267, 5679, 3881, 1524 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 5215, 540, 3059, 14676, 267, 8642, 9089, 267, 543, 30841, 1765, 2190, 3108, 513, 1554, 267, 476, 278, 2395, 513, 3018, 269, 3143, 6585, 267, 1100, 7227, 8638, 267, 543, 1100, 24228, 7182, 269, 634, 8866, 14635, 1152, 10525, 1543, 19040, 676, 22383, 9578, 607, 834, 14399, 257, 630, 30747, 7124, 1700, 22706, 476, 274, 282, 12698, 476, 276, 1700, 278, 1070, 834, 27736, 257, 630, 294, 10232, 476, 274, 1700, 276, 282, 12698, 476, 278, 1700, 1015, 1070, 543, 834, 5938, 523, 257, 630, 294, 10232, 476, 277, 1700, 279, 282, 12698, 476, 1556, 1700, 1691, 1916, 5319, 2809, 19957, 1569, 547, 5215, 540, 3059, 14676, 267, 8642, 9089, 267, 543, 30841, 1765, 2190, 3108, 513, 1554, 267, 476, 278, 2395, 513, 3018, 269, 3143, 6585, 267, 1100, 7227, 8638, 267, 543, 1100, 24228, 7182, 563, 31416, 325, 2224, 6435, 3086, 568, 606, 782, 2987, 14633, 24194, 540, 23468, 2533, 2966, 585, 513, 2647, 2039, 540, 4081, 2115, 1765, 31347, 621, 779, 21365, 513, 9157, 6780, 1966, 267, 13215, 513, 1880, 1888, 267, 610, 1603, 513, 1957, 269, 634, 11020, 325, 2224, 2407, 28129, 1449, 4099, 3091, 2259, 4255, 585, 782, 2157, 538, 2979, 267, 2542, 267, 543, 1603, 607, 1134, 607, 2852, 4549, 2218, 4255, 267, 1519, 519, 20389, 269, 14970, 23468, 7886, 616, 2139, 3232, 476, 273, 1700, 1556, 6751, 29643, 563, 9989, 707, 1153, 946, 590, 7702, 267, 519, 2875, 2542, 813, 689, 3683, 20142, 633, 286, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 2910, 300, 12903, 1299, 16998, 4338, 295, 2975, 715, 10976, 30600, 1315, 5101, 7489, 13910, 1315, 631, 18553, 1315, 594, 572, 330, 2967, 1315, 8466, 594, 572, 330, 2967, 674, 4288, 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 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 15425, 310, 303, 264, 476, 1556, 6515, 32074, 267, 543, 15672, 15466, 1377, 540, 4187, 563, 11045, 11915, 10049, 11045, 11915, 3758, 476, 272, 281, 26929, 531, 30166, 8132, 269, 3105, 12326, 1040, 14644, 338, 1210, 891, 9479, 786, 849, 581, 1318, 1631, 6035, 609, 713, 19169, 607, 12754, 3009, 476, 272, 269, 17593, 634, 5589, 288, 3940, 32427, 919, 519, 10408, 3210, 547, 5027, 3441, 3842, 922, 2789, 4247, 538, 519, 9190, 24696, 476, 273, 590, 5308, 3210, 269, 6184, 11211, 24696, 476, 273, 2645, 5356, 796, 3711, 27631, 6165, 540, 519, 1082, 5589, 288, 2829, 3330, 519, 1591, 4865, 15286, 1702, 540, 519, 8901, 543, 13796, 11941, 538, 5589, 288, 5943, 270, 10818, 602, 896, 12340, 1852, 540, 519, 2800, 3210, 269, 9406, 1934, 267, 649, 1711, 513, 1395, 9593, 545, 595, 3856, 1400, 23650, 689, 519, 1065, 31395, 1373, 513, 1433, 24638, 16785, 602, 3226, 25998, 609, 5589, 288, 2083, 14613, 593, 2582, 3613, 8681, 539, 5027, 630, 13434, 288, 265, 1040, 17266, 2173, 1961, 9908, 9196, 2553, 538, 2661, 2281, 6542, 602, 5589, 288, 568, 7363, 3524, 652, 1229, 538, 4859, 2230, 3889, 1282, 2834, 10307, 7361, 269, 16270, 5027, 2800, 267, 519, 4859, 2230, 5656, 23271, 607, 1134, 607, 519, 11118, 657, 4301, 7535, 540, 5589, 288, 7576, 919, 547, 1711, 2038, 590, 5308, 1606, 793, 2718, 23838, 3533, 267, 1319, 1005, 883, 5027, 27995, 5589, 288, 15985, 956, 693, 19952, 1974, 2188, 269, 5637, 1354, 543, 1310, 590, 5308, 15632, 267, 5589, 288, 265, 5526, 538, 6753, 30218, 689, 4562, 529, 2345, 7361, 269, 16270, 3932, 540, 4368, 267, 5589, 288, 4859, 5656, 6963, 269, 5444, 568, 7363, 909, 29970, 4557, 24670, 1369, 513, 1906, 3764, 630, 290, 1830, 331, 548, 1696, 620, 1421, 476, 1220, 272, 282, 11412, 345, 8291, 1696, 620, 1421, 476, 1220, 276, 1040, 4635, 6375, 739, 8724, 267, 519, 26134, 3099, 540, 5589, 288, 538, 3768, 600, 3042, 2281, 5170, 547, 581, 6059, 547, 1831, 827, 476, 10384, 271, 290, 1428, 267, 1822, 829, 1591, 267, 9870, 547, 476, 1911, 267, 1822, 829, 1591, 2390, 24254, 519, 5027, 1673, 600, 720, 3210, 630, 289, 10796, 665, 336, 1696, 620, 1421, 476, 1960, 278, 282, 853, 2129, 331, 1696, 620, 1421, 476, 1220, 274, 1040, 10439, 1436, 540, 595, 3856, 1400, 717, 17025, 535, 16272, 540, 3552, 15178, 543, 30354, 27586, 5116, 2047, 896, 519, 6805, 3260, 518, 538, 4865, 20114, 602, 5589, 288, 3029, 535, 1539, 538, 2281, 630, 299, 6856, 4802, 1696, 620, 1421, 476, 1001, 275, 282, 11412, 345, 8291, 1696, 620, 1421, 476, 1220, 276, 282, 11412, 345, 8291, 1696, 620, 1421, 476, 1220, 278, 1040, 28604, 689, 519, 2199, 3074, 2938, 538, 891, 4255, 5170, 547, 581, 6531, 539, 676, 1614, 2042, 281, 630, 272, 264, 5589, 288, 535, 16272, 547, 24638, 5946, 4865, 9846, 3366, 547, 5946, 609, 8766, 1599, 630, 295, 7701, 1696, 620, 1421, 476, 1220, 280, 282, 11412, 345, 8291, 1696, 620, 1421, 476, 1220, 276, 1070, 6721, 7664, 689, 519, 2199, 3074, 20114, 676, 891, 28562, 5946, 7294, 3810, 269, 630, 273, 264, 901, 2339, 568, 2417, 4101, 676, 519, 4890, 1249, 602, 24638, 3940, 2356, 798, 711, 960, 607, 16931, 16776, 543, 786, 1764, 29296, 31338, 538, 24696, 476, 273, 9190, 2281, 630, 294, 327, 617, 651, 1696, 620, 1421, 476, 1001, 277, 282, 744, 15120, 1735, 990, 1696, 620, 1421, 476, 1001, 277, 1040, 15742, 569, 267, 5589, 288, 28562, 609, 717, 17025, 267, 962, 17025, 543, 544, 305, 17025, 26857, 1114, 2199, 3074, 538, 3210, 547, 5027, 2800, 630, 298, 573, 2033, 543, 3400, 30977, 267, 476, 1220, 276, 1040, 1452, 2152, 2356, 798, 711, 12446, 1373, 513, 8710, 2094, 1312, 715, 268, 543, 595, 3856, 1400, 7475, 616, 1271, 585, 5589, 288, 1599, 543, 31338, 630, 292, 1375, 2401, 20793, 4596, 273, 288, 272, 1696, 620, 1421, 476, 1220, 274, 282, 700, 639, 31899, 1696, 620, 1421, 476, 1220, 274, 321, 282, 700, 639, 31899, 1696, 620, 1421, 476, 1220, 274, 320, 282, 14076, 754, 1090, 1696, 620, 1421, 476, 1001, 276, 1040, 630, 274, 264, 2311, 2547, 630, 298, 573, 2033, 543, 3400, 30977, 267, 476, 1220, 276, 1040, 5589, 288, 15985, 956, 1106, 1310, 590, 5308, 15632, 676, 3606, 1797, 982, 5595, 3613, 8681, 9397, 267, 543, 849, 1287, 2170, 609, 606, 31020, 8485, 30649, 1749, 538, 519, 6418, 9245, 630, 294, 541, 3272, 1696, 620, 1421, 476, 2735, 276, 282, 14076, 754, 1090, 1696, 620, 1421, 476, 1001, 276, 1040, 634, 5920, 540, 28608, 5589, 288, 265, 535, 1539, 1310, 2126, 609, 22292, 286, 263, 10013, 21663, 2784, 2747, 814, 711, 2141, 1044, 2404, 609, 10189, 5250, 630, 305, 20044, 8291, 1696, 620, 1421, 476, 1220, 278, 1040, 898, 1058, 581, 5018, 602, 6466, 32234, 540, 5589, 288, 4767, 723, 1044, 1585, 569, 5219, 547, 607, 2083, 14613, 267, 16060, 610, 15985, 956, 267, 741, 19359, 547, 519, 7422, 540, 5589, 288, 27960, 5219, 547, 607, 22203, 610, 15985, 956, 3788, 15458, 269, 9603, 547, 519, 1644, 19916, 540, 519, 28264, 6771, 16109, 689, 891, 3875, 5027, 27995, 11808, 610, 5027, 6954, 4859, 25481, 267, 751, 2084, 856, 6384, 540, 1367, 11808, 23838, 538, 2661, 2281, 3091, 8810, 2182, 269, 634, 3908, 2934, 540, 5589, 288, 12760, 5946, 8246, 547, 1554, 849, 12651, 2152, 827, 519, 2078, 540, 519, 4767, 3889, 547, 3339, 5589, 288, 1599, 269, 11153, 4909, 2055, 2611, 796, 753, 26833, 281, 1879, 543, 1141, 1281, 590, 5308, 15202, 4755, 538, 2281, 286, 1215, 568, 9090, 4430, 5589, 288, 6740, 286, 769, 713, 960, 267, 649, 4766, 519, 1646, 540, 513, 16785, 602, 4481, 3308, 3278, 5589, 288, 25481, 593, 5027, 267, 543, 2322, 621, 547, 946, 607, 851, 540, 513, 6626, 4674, 547, 1683, 513, 2143, 942, 1899, 540, 5589, 288, 7293, 18294, 538, 2713, 2281, 1310, 5027, 3441, 269, 2060, 519, 6662, 540, 28729, 2199, 1944, 5027, 27995, 543, 21085, 19840, 17300, 5589, 288, 265, 607, 513, 1883, 11808, 13591, 3330, 2713, 2281, 267, 649, 3812, 513, 1395, 9593, 545, 267, 10776, 21154, 21549, 715, 3856, 1400, 959, 15635, 566, 540, 519, 3566, 328, 21301, 1065, 31395, 16275, 630, 332, 5746, 663, 630, 290, 1830, 331, 548, 1696, 620, 1421, 476, 1220, 272, 1040, 5221, 2504, 540, 5589, 288, 4523, 6385, 1310, 3441, 267, 621, 568, 2565, 547, 7747, 2661, 2281, 693, 2038, 942, 2798, 609, 1164, 13796, 6571, 1310, 590, 5308, 15632, 269, 7046, 538, 513, 5094, 6885, 7089, 476, 272, 269, 5589, 288, 3029, 1114, 29296, 25481, 538, 3210, 547, 11158, 23735, 2747, 15301, 288, 264, 3117, 7185, 9059, 2450, 585, 590, 5308, 15632, 269, 0, 2080, 779, 875, 547, 2328, 593, 513, 14735, 865, 596, 666, 1711, 10875, 28916, 585, 2027, 14026, 269, 1677, 1205, 3323, 593, 519, 1318, 3723, 267, 11453, 909, 593, 875, 547, 15470, 513, 14735, 519, 2653, 543, 17715, 1259, 269, 634, 6396, 1284, 24805, 269, 1280, 1655, 2164, 267, 649, 4363, 1210, 513, 10398, 532, 9126, 543, 9133, 547, 2328, 593, 707, 14735, 269, 1411, 666, 946, 1022, 5180, 9133, 547, 2328, 707, 5022, 267, 1498, 4130, 4388, 949, 1118, 621, 2352, 547, 12347, 563, 8794, 9253, 1540, 28688, 547, 2328, 593, 513, 14735, 269, 3767, 602, 649, 723, 513, 13409, 4712, 282, 649, 1131, 9090, 991, 513, 5420, 609, 799, 649, 1131, 2328, 269, 1703, 616, 1614, 3681, 585, 519, 1482, 281, 476, 272, 269, 9253, 1540, 28688, 476, 273, 269, 19643, 920, 600, 476, 274, 269, 717, 534, 5995, 269, 1809, 1577, 779, 581, 9237, 649, 607, 1753, 536, 5474, 1131, 711, 581, 2348, 7423, 920, 600, 610, 575, 534, 5995, 693, 782, 2053, 538, 938, 1753, 269, 24641, 10217, 568, 1945, 602, 568, 3362, 2139, 543, 11593, 563, 1692, 547, 3503, 593, 513, 595, 820, 609, 10815, 670, 817, 548, 269, 3239, 3842, 281, 12368, 629, 599, 269, 2991, 3257, 513, 2603, 540, 8026, 267, 596, 616, 1631, 4712, 547, 798, 930, 4890, 10398, 532, 593, 602, 14735, 269, 7427, 891, 4388, 593, 875, 547, 2328, 593, 513, 14735, 609, 1447, 31484, 548, 269, 1306, 649, 4076, 5892, 15695, 267, 621, 779, 1655, 547, 1376, 609, 513, 25777, 13944, 607, 606, 23153, 14735, 7718, 1807, 269, 595, 27641, 23935, 616, 811, 563, 2690, 519, 2656, 652, 1259, 547, 3501, 1603, 593, 25394, 1246, 6337, 476, 272, 268, 280, 2059, 609, 519, 5528, 2630, 269, 476, 272, 269, 3503, 606, 9904, 26821, 6656, 538, 2462, 2596, 3109, 4580, 2511, 5022, 269, 700, 3133, 622, 610, 2322, 519, 6656, 538, 513, 2312, 5068, 3561, 17835, 865, 596, 666, 26763, 519, 476, 6005, 1055, 543, 946, 621, 936, 543, 936, 1586, 269, 476, 273, 269, 654, 6559, 519, 9133, 540, 596, 8546, 1354, 596, 2253, 17065, 4506, 519, 476, 6005, 856, 269, 3399, 676, 15700, 519, 563, 2414, 2328, 610, 2721, 3515, 267, 3180, 519, 9126, 693, 513, 476, 3393, 4110, 5086, 267, 513, 2370, 2476, 689, 519, 2627, 267, 25837, 519, 476, 6005, 856, 609, 513, 3586, 2604, 267, 543, 1577, 519, 1899, 540, 476, 6005, 2887, 6923, 883, 1747, 607, 596, 3391, 621, 269, 8347, 711, 547, 7485, 519, 10398, 532, 9126, 1354, 519, 476, 6005, 814, 1558, 519, 2627, 267, 607, 596, 3513, 1205, 606, 19514, 11098, 563, 303, 1575, 2812, 1223, 849, 1246, 853, 1030, 534, 779, 11600, 543, 1118, 519, 1482, 14735, 1927, 538, 1362, 269, 6206, 8609, 476, 273, 9105, 10453, 547, 11291, 519, 1883, 2934, 540, 14292, 1603, 543, 2328, 607, 1082, 607, 789, 666, 563, 2237, 1776, 14235, 585, 595, 820, 547, 2206, 593, 1010, 1259, 547, 519, 5428, 269, 5440, 9133, 256, 1411, 666, 1118, 707, 5152, 22565, 952, 596, 1616, 547, 267, 855, 621, 3085, 1406, 723, 547, 269, 5457, 547, 581, 607, 3860, 607, 596, 1616, 256, 1703, 781, 811, 563, 2237, 8745, 593, 17510, 1485, 595, 1389, 269, 21763, 547, 723, 707, 10531, 14512, 14735, 609, 707, 2012, 28562, 286, 4270, 267, 1287, 596, 723, 2097, 4010, 547, 519, 1318, 1747, 269, 5192, 707, 5172, 14512, 14735, 20386, 909, 609, 930, 8949, 14512, 14735, 10217, 547, 25940, 267, 21243, 14512, 14735, 21297, 779, 267, 5810, 267, 14512, 10217, 16853, 267, 543, 930, 540, 519, 1655, 4015, 540, 10217, 14512, 25394, 269, 1403, 596, 616, 563, 289, 9500, 1485, 543, 7788, 15208, 595, 820, 16103, 2060, 8745, 543, 16071, 2561, 269, 5131, 813, 547, 2328, 2012, 593, 14512, 25394, 543, 6337, 12575, 1907, 269, 3503, 31042, 543, 1225, 3272, 4408, 593, 25394, 267, 16858, 543, 6486, 609, 8666, 12575, 269, 5410, 2789, 6337, 593, 25394, 267, 6486, 543, 16858, 563, 5278, 6835, 786, 3274, 581, 1932, 1279, 547, 3514, 593, 513, 4130, 14735, 543, 930, 949, 1413, 1732, 593, 513, 2834, 6656, 14735, 982, 513, 9764, 14735, 269, 4746, 1832, 538, 2247, 519, 1268, 945, 519, 5048, 568, 585, 950, 1603, 621, 269, 1403, 596, 2461, 1603, 513, 14512, 5048, 585, 513, 2370, 7911, 267, 585, 3236, 267, 646, 1522, 711, 581, 513, 10178, 540, 11909, 1603, 256, 1403, 596, 2461, 1869, 711, 3833, 2386, 1018, 547, 2328, 593, 519, 14512, 14735, 267, 649, 4076, 563, 2419, 8981, 14735, 267, 29877, 14735, 267, 14512, 14735, 269, 1703, 666, 1405, 581, 2614, 540, 713, 6653, 1521, 256, 8281, 1863, 547, 946, 14735, 6337, 693, 623, 1410, 1564, 563, 2237, 8745, 593, 17510, 1485, 595, 820, 2060, 8745, 269, 3503, 8745, 593, 17510, 1485, 595, 820, 585, 2828, 543, 1920, 547, 1118, 741, 14512, 15813, 543, 2027, 269, 901, 568, 519, 4190, 10516, 596, 666, 2285, 2228, 269, 2637, 4733, 2659, 8745, 269, 2659, 8745, 3371, 263, 16655, 476, 736, 1347, 338, 264, 1635, 14467, 563, 1692, 547, 3503, 593, 513, 595, 820, 6145, 513, 1160, 269, 6258, 875, 547, 30164, 513, 14735, 899, 513, 2250, 787, 27697, 609, 2653, 4388, 585, 1022, 8317, 267, 1519, 4332, 17058, 267, 4271, 725, 267, 29636, 267, 543, 12311, 26204, 269, 962, 341, 517, 928, 3244, 12121, 14735, 7718, 908, 269, 595, 820, 5463, 528, 908, 9828, 595, 820, 5463, 528, 908, 20861, 338, 13648, 773, 5463, 528, 908, 5463, 528, 908, 595, 1389, 595, 820, 594, 1424, 9828, 595, 820, 5463, 32590, 11822, 595, 820, 5463, 528, 908, 19643, 920, 600, 595, 820, 5463, 528, 908, 29778, 532, 563, 1692, 547, 3503, 593, 595, 1389, 269, 5675, 593, 513, 14735, 3884, 1406, 607, 2182, 607, 621, 5654, 269, 7427, 891, 4388 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 899, 513, 6439, 559, 710, 541, 11523, 602, 24508, 519, 5580, 543, 1034, 21603, 2694, 540, 519, 2634, 543, 11225, 1141, 835, 19548, 21571, 5956, 543, 1141, 1776, 7475, 563, 4913, 267, 3564, 713, 6654, 1129, 7064, 547, 799, 649, 666, 1205, 513, 1360, 21603, 2856, 827, 519, 14169, 540, 519, 2634, 267, 952, 1018, 649, 1616, 547, 4983, 568, 519, 2497, 540, 1142, 540, 891, 2609, 267, 1919, 1205, 7294, 563, 10376, 21571, 568, 4988, 676, 513, 4494, 1572, 519, 19548, 16794, 630, 6518, 568, 519, 1034, 7298, 851, 540, 519, 2634, 543, 5526, 547, 581, 2407, 540, 32060, 543, 9663, 4900, 1070, 543, 713, 16794, 666, 581, 5258, 883, 1114, 6810, 2687, 547, 922, 1114, 3252, 543, 6753, 269, 901, 8760, 883, 21630, 2127, 1369, 1142, 540, 519, 19548, 8280, 7371, 12742, 2982, 721, 519, 6228, 540, 1896, 10981, 525, 540, 519, 2634, 269, 2913, 779, 1294, 875, 789, 616, 563, 299, 984, 525, 540, 519, 2634, 543, 741, 3252, 454, 1432, 649, 917, 607, 10981, 525, 540, 519, 2634, 5161, 540, 513, 8760, 676, 13602, 540, 519, 19548, 16794, 602, 2636, 11837, 519, 1292, 2127, 540, 8229, 2534, 269, 1452, 616, 711, 32753, 5094, 2127, 689, 1142, 824, 267, 855, 789, 616, 5266, 2653, 547, 10646, 835, 689, 519, 824, 952, 649, 1413, 693, 519, 26642, 543, 1114, 535, 1170, 999, 540, 519, 2634, 563, 4322, 13602, 616, 519, 10981, 525, 540, 519, 2634, 267, 543, 2630, 596, 666, 1224, 741, 1034, 2596, 3344, 267, 2921, 883, 2272, 602, 1142, 19548, 21571, 814, 519, 1482, 1297, 267, 2010, 543, 3892, 540, 10981, 525, 563, 272, 269, 674, 30613, 27914, 454, 15812, 539, 538, 4544, 538, 519, 3239, 563, 1103, 3425, 267, 621, 568, 519, 4102, 540, 519, 10981, 525, 540, 519, 2634, 269, 898, 568, 6353, 676, 922, 1909, 538, 519, 4393, 540, 1164, 7400, 5042, 3252, 971, 607, 4058, 267, 11558, 267, 11056, 543, 1852, 540, 2623, 269, 1635, 10137, 267, 621, 849, 6087, 3804, 4259, 267, 24736, 267, 13994, 1637, 540, 1893, 267, 543, 7939, 540, 4664, 563, 1103, 1840, 267, 519, 28882, 27914, 568, 4535, 519, 2702, 547, 1491, 1866, 883, 2272, 630, 26238, 621, 4831, 9711, 519, 3310, 540, 25372, 547, 14183, 938, 13821, 5612, 267, 538, 3870, 540, 1279, 3856, 3853, 264, 543, 3715, 3069, 540, 2247, 267, 799, 568, 938, 1378, 269, 2702, 547, 18505, 1919, 827, 519, 2790, 1533, 540, 1866, 269, 1280, 1383, 267, 1373, 3222, 602, 649, 917, 1945, 602, 1776, 1268, 1281, 711, 917, 568, 2009, 7064, 547, 519, 3069, 540, 2247, 563, 1103, 2110, 267, 713, 568, 835, 540, 519, 2634, 10981, 525, 609, 513, 811, 7986, 1909, 538, 519, 3252, 602, 649, 1131, 9305, 811, 2047, 547, 4987, 267, 4058, 543, 11558, 540, 1950, 17319, 3350, 9696, 269, 901, 851, 540, 519, 16794, 568, 6093, 540, 9451, 24260, 2831, 543, 568, 2523, 1804, 538, 11864, 2094, 713, 12105, 1895, 3568, 519, 1034, 10995, 2249, 593, 519, 4541, 563, 268, 2859, 593, 713, 27914, 538, 519, 1739, 2022, 281, 968, 1432, 568, 519, 28882, 27914, 543, 875, 1281, 621, 960, 18313, 273, 269, 623, 926, 13926, 27914, 454, 15812, 539, 538, 5835, 538, 519, 3239, 563, 2005, 568, 4092, 1063, 519, 28882, 543, 1624, 760, 1388, 10981, 525, 267, 543, 568, 5631, 3743, 585, 4393, 10444, 1344, 602, 2501, 689, 782, 2694, 540, 519, 1560, 267, 971, 607, 5905, 267, 519, 14815, 540, 2837, 267, 1928, 543, 2604, 267, 543, 568, 2111, 547, 9305, 713, 1344, 547, 519, 1297, 6284, 269, 898, 849, 2306, 3350, 1852, 2009, 7064, 547, 922, 16133, 547, 519, 4058, 7740, 540, 519, 28882, 27914, 563, 1103, 1840, 267, 621, 11392, 3308, 1344, 689, 519, 1624, 760, 1388, 27914, 543, 1568, 547, 1711, 12205, 1063, 713, 1826, 540, 1239, 543, 824, 11378, 689, 824, 2127, 563, 274, 269, 12769, 760, 1388, 27914, 454, 15812, 539, 538, 11909, 538, 519, 3239, 269, 769, 3425, 267, 621, 568, 519, 10545, 540, 519, 2185, 1292, 10981, 525, 540, 519, 2634, 543, 568, 4092, 538, 519, 17911, 1858, 540, 519, 15693, 267, 2282, 519, 562, 1901, 540, 519, 8405, 563, 2005, 568, 519, 1101, 1858, 540, 519, 683, 665, 29448, 547, 799, 3308, 1344, 10301, 1547, 4475, 267, 621, 814, 513, 2629, 1909, 538, 519, 6284, 540, 3615, 4171, 1769, 568, 15810, 593, 519, 22100, 267, 4352, 676, 3294, 621, 1281, 711, 723, 519, 2702, 547, 1711, 17396, 2592, 269, 1452, 2592, 616, 2813, 689, 519, 4393, 540, 891, 1239, 538, 2127, 540, 519, 2634, 1572, 3308, 7681, 2127, 563, 763, 1624, 760, 1388, 27914, 15920, 1344, 827, 5075, 547, 824, 10981, 525, 540, 519, 2634, 998, 1079, 1114, 2792, 9055, 563, 763, 1101, 540, 873, 267, 799, 4422, 547, 519, 28882, 1858, 540, 519, 2634, 998, 519, 5887, 1537, 1858, 630, 7474, 568, 267, 519, 835, 9663, 1492, 560, 689, 519, 5580, 1858, 540, 519, 2212, 1070, 3157, 1344, 827, 519, 968, 6343, 892, 540, 1018, 568, 2938, 267, 602, 568, 2073, 519, 1543, 540, 519, 5075, 563, 763, 2034, 8756, 267, 799, 4422, 547, 519, 4395, 998, 519, 24725, 1858, 630, 333, 792, 519, 13862, 1070, 3157, 519, 968, 6011, 892, 543, 968, 3602, 892, 540, 1018, 568, 2938, 267, 602, 568, 267, 3344, 540, 3350, 543, 4087, 538, 513, 6626, 2796, 563, 275, 269, 7843, 1602, 531, 27914, 454, 15812, 539, 538, 3039, 538, 519, 3239, 563, 763, 13796, 10981, 525, 540, 1142, 21571, 616, 4092, 593, 519, 5011, 540, 519, 2634, 267, 11231, 23276, 543, 7923, 547, 519, 17633, 563, 5445, 4309, 1344, 689, 1082, 824, 2127, 543, 10981, 525, 540, 519, 2634, 543, 741, 3252, 723, 547, 798, 609, 3965, 543, 4806, 6284, 538, 1239, 689, 519, 12823, 269, 4475, 267, 621, 4249, 513, 1909, 538, 519, 6284, 540, 8188, 543, 9739, 267, 855, 849, 538, 519, 3965, 540, 1913, 563, 763, 1202, 3121, 568, 513, 851, 540, 519, 16794, 602, 568, 6456, 1063, 519, 1964, 540, 519, 10981, 525, 540, 519, 2634, 543, 267, 547, 1294, 621, 267, 621, 568, 2556, 547, 5094, 519, 13796, 543, 533, 926, 13926, 10981, 525, 689, 1142, 824, 269, 2334, 568, 1946, 621, 568, 1419, 711, 2808, 607, 835, 811, 27914, 563, 2005, 568, 7923, 547, 3889, 3743, 585, 1818, 519, 5920, 540, 4664, 2009, 267, 607, 621, 568, 5702, 4448, 547, 1082, 2127, 540, 519, 18215, 545, 1062, 267, 543, 568, 4440, 3743, 585, 1199, 11868, 1063, 891, 543, 519, 5042, 3157, 602, 1491, 1747, 538, 519, 1964, 540, 519, 10981, 525, 540, 519, 2634, 563, 268, 2051, 1578, 267, 19162, 328, 681, 1547, 282, 21701, 267, 20574, 681, 1547, 282, 681, 531, 8725, 267, 26573, 670, 1547, 282, 681, 531, 8725, 267, 32308, 269, 630, 1001, 271, 1040, 5096, 1749, 517, 779, 14362, 543, 6657, 540, 6925, 630, 2641, 560, 1196, 12175, 25470, 281, 26235, 12389, 7723, 1315, 29021, 269, 9768, 476, 7818, 268, 271, 268, 3583, 273, 271, 268, 28143, 276, 268, 278, 563, 268, 853, 1380, 267, 667, 307, 1299, 26427, 267, 21512, 630, 1001, 274, 1070, 14362, 540, 674, 30613, 700, 12786, 9577, 269, 1715, 3840, 281, 10228, 2160, 4964, 563, 268, 8065, 267, 3627, 630, 1001, 272, 1040, 24053, 2023, 543, 8065, 30930, 540, 6481, 25665, 630, 1321, 628, 1196, 12175, 15740, 267, 13698, 281, 590, 16184, 619, 1315, 29021, 269, 9768, 476, 7818, 268, 272, 268, 275, 1626, 271, 268, 3393, 278, 275, 268, 279, 563, 268, 4880, 614, 267, 674, 269, 630, 1001, 275, 1040, 25304, 540, 5274, 22845, 26451, 9906, 13693, 20308, 1323, 322, 650, 2456, 543, 20929, 630, 277, 628, 1196, 12175, 15740, 267, 24282, 1547, 281, 654, 289, 590, 16184, 619, 3213, 563, 268, 11709, 3647, 523, 267, 9823, 630, 20464, 476, 2537, 267, 476, 1960, 278, 1040, 968, 288, 8082, 2861, 3069, 540, 10641, 14003, 543, 11741, 11443, 538, 519, 3844, 8401, 1062, 6100, 7186, 269, 0, 268, 1548, 568, 519, 1909, 540, 519, 1857, 5823, 888, 268, 1215, 798, 596, 5581, 1857, 5823, 888, 268, 3657, 2706, 5658, 1115, 1857, 5823, 888, 268, 1772, 1250, 16108, 4357, 610, 1857, 5823, 888, 268, 1548, 616, 519, 2010, 540, 1857, 5823, 888, 268, 5808, 616, 1857, 5823, 4600, 888, 268, 1548, 568, 1857, 5823, 1383, 888, 268, 1215, 1082, 2010, 540, 1857, 5823, 16904, 616, 972, 888, 268, 1548, 616, 1806, 540, 1857, 2533, 888, 1432, 568, 519, 1909, 540, 519, 1857, 5823, 888, 14276, 5823, 2882, 782, 12204, 540, 2229, 630, 25218, 267, 1533, 543, 2199, 1916, 2005, 2488, 2596, 5370, 610, 2533, 602, 616, 2901, 711, 267, 610, 3112, 581, 267, 3177, 676, 519, 4357, 5823, 267, 585, 1383, 3506, 267, 9897, 267, 3092, 563, 14276, 5823, 11438, 1346, 2238, 602, 3112, 581, 8804, 676, 4357, 543, 1346, 1644, 547, 1514, 10304, 10756, 1692, 798, 596, 5581, 1857, 5823, 888, 1103, 2489, 2474, 267, 519, 1857, 5823, 5161, 540, 6608, 543, 782, 15597, 6417, 610, 15597, 14102, 8041, 267, 16904, 267, 543, 824, 9988, 602, 5838, 1857, 3292, 267, 5370, 267, 610, 2533, 563, 6701, 2706, 5658, 1115, 1857, 5823, 888, 7468, 10675, 5823, 14540, 267, 971, 607, 513, 2199, 3377, 26047, 610, 1804, 2706, 21466, 5832, 616, 11262, 543, 6417, 676, 4357, 2043, 269, 4256, 3119, 6663, 616, 547, 7639, 543, 1118, 513, 7443, 563, 3674, 1250, 16108, 4357, 610, 1857, 5823, 888, 763, 3119, 3017, 1063, 1857, 268, 543, 4357, 5498, 2758, 6009, 568, 602, 1857, 5498, 2758, 6009, 616, 3622, 1369, 513, 2229, 8116, 267, 15029, 4357, 5498, 2758, 6009, 616, 1346, 1141, 5520, 616, 2324, 585, 1875, 3766, 21194, 8041, 269, 2560, 6201, 540, 1857, 5498, 2758, 7694, 2127, 281, 2657, 543, 1416, 269, 9752, 563, 1432, 616, 519, 2010, 540, 1857, 5823, 888, 14276, 5823, 3906, 616, 4646, 538, 1614, 1114, 3029, 281, 4972, 531, 9333, 752, 902, 269, 5398, 14078, 23995, 520, 21881, 14078, 269, 6554, 2754, 16634, 23430, 531, 7201, 339, 752, 902, 269, 901, 568, 519, 9510, 1106, 540, 1857, 5823, 16904, 269, 2560, 5398, 15278, 270, 21809, 21881, 15278, 269, 2560, 6554, 14992, 563, 8005, 616, 1857, 5823, 4600, 888, 1432, 616, 1857, 5823, 6009, 286, 634, 1857, 5823, 1797, 4896, 945, 1568, 538, 2533, 610, 16904, 6417, 676, 519, 6554, 269, 4340, 547, 519, 8433, 585, 2817, 10803, 267, 972, 616, 811, 982, 476, 4968, 1114, 23909, 538, 519, 1857, 5823, 563, 1432, 568, 1857, 5823, 1383, 888, 21691, 823, 267, 4108, 267, 1857, 9897, 267, 1857, 18302, 543, 1857, 2069, 616, 1806, 540, 1857, 5823, 8041, 269, 5398, 16904, 543, 1875, 2889, 22327, 799, 267, 899, 8041, 267, 5838, 3292, 267, 5370, 610, 2533, 267, 855, 616, 4830, 540, 519, 2229, 543, 949, 723, 2959, 540, 8907, 538, 1840, 547, 1857, 7616, 563, 1692, 1082, 2010, 540, 1857, 5823, 16904, 616, 972, 888, 22764, 1114, 3029, 2467, 616, 1614, 1114, 3029, 540, 13539, 1031, 585, 519, 1857, 5823, 16904, 538, 3127, 269, 1452, 616, 630, 272, 264, 4972, 531, 7201, 339, 1136, 282, 630, 273, 264, 6465, 21881, 630, 528, 5398, 264, 15278, 267, 543, 630, 274, 264, 6554, 7577, 563, 1432, 616, 1806, 540, 1857, 2533, 888, 1103, 2413, 2919, 2477, 267, 519, 2165, 968, 21504, 2533, 892, 630, 528, 968, 338, 26236, 540, 2489, 1719, 14615, 1419, 2882, 281, 290, 712, 1206, 9950, 10431, 640, 9950, 3027, 566, 9950, 1067, 11765, 2533, 269, 20245, 4027, 269, 10890, 3249, 8160, 26090, 10422, 3016, 6283, 21457, 3688, 2507, 0, 7476, 5053, 22843, 8018, 17461, 269, 6258, 519, 23882, 9904, 689, 513, 547, 1990, 256, 6201, 540, 12332, 10023, 8755, 6486, 267, 544, 335, 274, 8301, 563, 5591, 3896, 814, 811, 606, 4367, 547, 519, 23882, 9904, 269, 901, 1863, 23882, 4976, 609, 723, 596, 10122, 1472, 707, 1753, 547, 1265, 856, 23882, 9904, 5750, 281, 6423, 811, 2093, 827, 23882, 9904, 267, 1565, 23882, 267, 3450, 23882, 563, 14300, 540, 12332, 10023, 8755, 6486, 267, 544, 335, 274, 8301, 563, 21930, 518, 1053, 543, 4896, 945, 6499, 547, 1451, 827, 513, 4914, 1893, 786, 723, 519, 4960, 547, 1224, 519, 269, 5272, 1126, 1058, 723, 693, 2547, 835, 23882, 9904, 4976, 538, 741, 536, 5407, 256, 5053, 9904, 7792, 5022, 16968, 1565, 3211, 4484, 25258, 20725, 4928, 19297, 2238, 1893, 1451, 1965, 3966, 565, 3450, 7005, 19636, 2596, 2262, 269, 5053, 9904, 1451, 676, 2921, 513, 7688, 269, 0, 763, 2527, 1297, 568, 476, 1556, 543, 519, 3693 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4983, 1367, 269, 623, 4785, 295, 6730, 623, 26097, 674, 16898, 27633, 5508, 594, 12613, 5456, 6938, 3582, 9215, 25723, 3073, 269, 6733, 18738, 519, 9906, 11314, 6651, 16855, 8466, 563, 30108, 12754, 16847, 476, 272, 4563, 24779, 689, 519, 3162, 476, 4572, 25171, 2004, 269, 32379, 543, 7485, 2188, 540, 3486, 9194, 513, 13354, 1867, 642, 4512, 269, 5565, 26134, 12215, 835, 2882, 513, 2262, 4871, 2626, 1883, 2142, 2386, 547, 2638, 269, 1548, 7903, 543, 7485, 2188, 4299, 519, 9194, 540, 6803, 2516, 538, 269, 1715, 6809, 753, 4653, 27491, 543, 3115, 1238, 24862, 8018, 563, 10743, 2671, 741, 2724, 689, 519, 2188, 543, 4976, 1053, 547, 513, 21340, 267, 519, 1964, 540, 1114, 4528, 540, 3992, 676, 938, 1650, 286, 1306, 513, 1895, 2307, 519, 1053, 547, 2328, 513, 7104, 4267, 547, 7726, 476, 273, 323, 1548, 568, 519, 1448, 335, 17123, 540, 269, 29130, 707, 2875, 547, 519, 11633, 7169, 609, 713, 2542, 6656, 563, 13328, 538, 519, 18696, 634, 4658, 21537, 2135, 543, 2347, 519, 4976, 476, 2568, 1295, 269, 7170, 634, 15232, 540, 32762, 6816, 6206, 9293, 32762, 6816, 22893, 1222, 269, 12729, 11905, 3561, 594, 4024, 3619, 4639, 6656, 2575, 2139, 998, 519, 269, 570, 14684, 289, 2969, 2697, 543, 4766, 7903, 1790, 1638, 2188, 602, 9415, 31023, 269, 634, 22624, 543, 7485, 2188, 602, 1223, 8749, 1930, 519, 19633, 3046, 3113, 28013, 593, 2238, 2257, 6901, 4879, 602, 269, 1473, 550, 3293, 4419, 3363, 543, 26790, 9752, 570, 16260, 563, 18698, 519, 4279, 24779, 6778, 10513, 5803, 5441, 269, 31385, 519, 7903, 543, 7485, 2188, 799, 8507, 538, 3864, 9194, 547, 519, 8241, 16690, 625, 19875, 476, 272, 4841, 1589, 827, 1946, 519, 1439, 540, 20903, 269, 15716, 0, 10527, 4093, 616, 15260, 1005, 543, 949, 23248, 1118, 9176, 1004, 3063, 5423, 547, 1205, 18764, 2223, 3081, 1071, 23867, 17082, 14732, 678, 339, 336, 341, 626, 14472, 514, 267, 11001, 593, 519, 10406, 540, 24391, 267, 10127, 565, 1231, 6390, 2382, 26623, 564, 630, 22069, 3534, 1916, 28606, 17067, 1382, 723, 8810, 602, 9176, 6690, 4866, 547, 513, 8594, 1895, 585, 2565, 5046, 268, 866, 8506, 14021, 1416, 609, 513, 1732, 8594, 540, 2530, 540, 1272, 982, 1875, 1790, 27389, 656, 6690, 540, 513, 15417, 2085, 269, 21250, 656, 6690, 609, 3665, 5046, 268, 866, 616, 10123, 3063, 811, 2693, 547, 723, 840, 3410, 24570, 269, 4595, 5130, 476, 1708, 272, 267, 3759, 20160, 5046, 268, 866, 10074, 723, 1044, 856, 972, 538, 13785, 543, 16157, 267, 543, 538, 631, 697, 476, 1708, 272, 13785, 2731, 3730, 782, 9176, 1004, 547, 723, 513, 5046, 268, 866, 795, 629, 267, 7550, 538, 4864, 676, 16157, 563, 14071, 2461, 20866, 7487, 602, 12674, 10997, 616, 6175, 982, 538, 519, 14230, 540, 519, 11317, 267, 865, 621, 568, 9583, 602, 972, 568, 930, 6161, 827, 875, 519, 10074, 723, 606, 1198, 593, 519, 9176, 1880, 1268, 543, 519, 21565, 2223, 6941, 3220, 678, 339, 336, 341, 626, 14472, 514, 269, 968, 2691, 519, 10074, 1185, 1044, 3812, 267, 9176, 6690, 14201, 1406, 3769, 1369, 519, 7372, 3621, 1382, 267, 543, 11489, 1631, 972, 723, 1044, 1100, 2551, 2861, 1702, 827, 1022, 8594, 972, 568, 2693, 547, 581, 547, 873, 3034, 763, 3173, 5532, 13785, 779, 9861, 9176, 19193, 543, 16157, 779, 6481, 22073, 19193, 547, 1169, 4182, 779, 12674, 11578, 547, 10536, 1702, 593, 952, 543, 950, 9176, 1004, 1185, 1044, 18764, 543, 609, 799, 6669, 269, 634, 4983, 3769, 513, 2347, 540, 476, 14991, 267, 276, 2641, 1004, 945, 5795, 4098, 1063, 5130, 476, 1708, 272, 543, 5130, 476, 1708, 273, 267, 540, 7247, 5176, 835, 11359, 630, 1240, 829, 1298, 264, 1185, 1044, 18764, 269, 898, 729, 4362, 602, 18764, 1004, 1185, 1044, 693, 1100, 3152, 8594, 982, 796, 341, 3147, 3990, 540, 2870, 835, 540, 1082, 6594, 2042, 563, 301, 22022, 782, 540, 519, 9176, 1004, 3769, 1369, 519, 4983, 1185, 1044, 18764, 1310, 3018, 476, 1321, 538, 13076, 609, 1459, 10372, 269, 476, 4817, 829, 1298, 5833, 606, 22328, 6669, 630, 303, 325, 6500, 5174, 1470, 18199, 3663, 610, 7073, 320, 1040, 901, 1590, 581, 2808, 950, 29852, 519, 4093, 267, 799, 1185, 1044, 13380, 585, 519, 4625, 1114, 22328, 10074, 1100, 2339, 2436, 610, 711, 835, 610, 1079, 13066, 3893, 269, 17261, 1588, 538, 519, 1576, 540, 519, 3791, 959, 30478, 543, 12674, 609, 519, 7073, 320, 6669, 729, 1644, 547, 513, 18923, 6175, 8594, 540, 30564, 1416, 563, 14071, 2461, 1631, 4058, 547, 2638, 875, 17890, 713, 3106, 16569, 267, 543, 952, 16568, 17336, 268, 273, 606, 3968, 610, 12674, 2429, 1373, 9176, 814, 930, 824, 9434, 2164, 593, 519, 4819, 779, 1134, 1373, 2223, 3081, 4745, 3803, 17082, 7905, 9986, 1993, 5153, 327, 753, 5459, 593, 519, 10406, 540, 24391, 267, 10127, 565, 1231, 6390, 2382, 26623, 564, 630, 22069, 3534, 1916, 763, 4983, 729, 513, 5698, 1063, 3173, 693, 13785, 779, 10127, 565, 1231, 6390, 2382, 26623, 564, 543, 519, 21785, 4659, 540, 5398, 4270, 1373, 269, 898, 729, 6462, 676, 14828, 689, 519, 5811, 7027, 540, 16157, 267, 20918, 293, 832, 330, 543, 519, 3864, 5811, 7027, 630, 2207, 290, 1040, 3213, 27236, 543, 918, 296, 11001, 25599, 731, 700, 329, 2426, 814, 5833, 513, 3902, 689, 26172, 6500, 2250, 519, 9165, 540, 713, 4983, 543, 568, 606, 11832, 540, 519, 16528, 6481, 8585, 577, 663, 1047, 7577, 269, 3143, 1114, 1761, 7526, 540, 7279, 723, 1044, 4080, 563, 26397, 281, 968, 288, 742, 559, 2747, 540, 16568, 17336, 268, 273, 17261, 1588, 10801, 9861, 9176, 2060, 9861, 9176, 27159, 6100, 12756, 595, 269, 13804, 639, 267, 14732, 21411, 269, 678, 339, 336, 341, 626, 267, 4432, 529, 9278, 667, 22844, 336, 342, 626, 267, 25599, 731, 700, 329, 2426, 267, 12049, 20891, 4787, 337, 267, 23718, 18718, 2917, 267, 674, 7967, 322, 5839, 338, 8932, 267, 645, 329, 337, 333, 623, 6141, 752, 267, 670, 330, 517, 21411, 269, 717, 329, 31757, 267, 11184, 328, 661, 269, 670, 6199, 267, 9986, 1993, 5153, 327, 753, 5459, 269, 808, 24717, 267, 593, 11060, 476, 2190, 4728, 476, 1708, 273, 267, 8222, 281, 476, 1015, 269, 1911, 272, 10768, 4821, 269, 1708, 273, 269, 27628, 272, 269, 0, 301, 2720, 532, 568, 7255, 609, 519, 3003, 1367, 269, 16711, 568, 7255, 609, 519, 2898, 1367, 269, 12502, 525, 11129, 547, 581, 6899, 7900, 2168, 4247, 267, 1519, 3001, 2550, 563, 763, 7127, 7400, 3070, 568, 513, 6671, 536, 3147, 8403, 675, 622, 1982, 538, 8808, 269, 2422, 3872, 6436, 950, 596, 2461, 7234, 5773, 543, 1239, 269, 901, 1344, 568, 2469, 547, 581, 6854, 14553, 14804, 563, 5415, 982, 476, 272, 5943, 1522, 1256, 581, 5363, 538, 707, 1382, 269, 634, 4632, 1369, 713, 2013, 616, 942, 267, 5291, 2517, 4178, 269, 1794, 17376, 9874, 6983, 345, 270, 1492, 13522, 728, 3562, 17032, 6361, 2173, 520, 24136, 270, 519, 4110, 540, 2866, 543, 519, 2732, 1982, 269, 5502, 267, 621, 568, 513, 13865, 1871, 602, 3340, 513, 7406, 540, 4704, 563, 288, 2257, 1788, 666, 1689, 689, 2241, 547, 1950, 267, 4061, 621, 568, 2629, 547, 10625, 513, 1788, 602, 779, 11807, 585, 519, 2085, 1895, 269, 4317, 1565, 3069, 666, 723, 513, 1297, 540, 1483, 8996, 3156, 269, 1358, 786, 723, 519, 4316, 547, 2347, 513, 2039, 540, 2298, 6454, 543, 5718, 25700, 3785, 602, 616, 5140, 16056, 1532, 4265, 619, 563, 301, 2720, 532, 7869, 16711, 568, 513, 2370, 1114, 689, 1034, 1072, 13282, 22825, 2094, 621, 779, 3069, 1759, 269, 6206, 16610, 616, 2356, 3833, 2110, 4930, 1224, 543, 1142, 835, 568, 6131, 547, 513, 1808, 1888, 269, 1358, 1590, 581, 9266, 538, 2470, 563, 1692, 596, 2328, 707, 1378, 2123, 3948, 568, 513, 1590, 269, 634, 1995, 949, 849, 581, 2147, 1554, 3562, 6377, 22074, 269, 1677, 4266, 1175, 835, 3069, 814, 12758, 563, 2467, 616, 513, 3099, 540, 2081, 547, 30387, 8808, 6436, 269, 13575, 6340, 267, 8808, 6436, 2887, 883, 835, 540, 476, 274, 6688, 269, 1358, 1445, 593, 519, 9259, 540, 8808, 563, 763, 1382, 786, 1450, 519, 11923, 547, 1491, 1697, 3664, 693, 1142, 5123, 540, 741, 2564, 1416, 1184, 602, 568, 6026, 676, 1382, 269, 634, 2832, 540, 8808, 568, 547, 5351, 2550, 11177, 1072, 269, 898, 568, 2556, 585, 519, 11923, 547, 2119, 547, 1118, 3885, 320, 3846, 1143, 4448, 547, 1072, 543, 2068, 563, 1607, 3184, 786, 948, 547, 10146, 713, 6946, 3510, 543, 547, 2992, 938, 1378, 5107, 538, 8808, 543, 2489, 9716, 1416, 269, 1879, 519, 2069, 568, 5833, 267, 621, 1590, 581, 2322, 883, 2259, 865, 607, 547, 723, 513, 2318, 3310, 593, 3461, 1416, 543, 519, 10721, 8808, 4093, 269, 16952, 621, 779, 1271, 602, 8808, 5718, 3136, 547, 11349, 741, 8808, 3854, 563, 16914, 1042, 2787, 4828, 2690, 27832, 568, 2731, 519, 1034, 1271, 8984, 540, 519, 6574, 3506, 540, 8808, 2094, 621, 2982, 606, 4013, 20774, 1746, 8116, 1237, 1407, 519, 1982, 547, 5965, 1053, 547, 979, 883, 519, 8808, 3924, 269, 1358, 1419, 960, 609, 2789, 2550, 609, 1585, 1072, 2115, 269, 16711, 568, 1851, 519, 16595, 3395, 4610, 538, 519, 1459, 4346, 543, 11923, 5097, 3895, 2949, 5140, 1072, 267, 2061, 2068, 267, 543, 1521, 2550, 609, 606, 25819, 540, 1072, 5829, 2175, 563, 1103, 519, 6644, 540, 519, 1268, 267, 519, 12016, 568, 519, 1367, 945, 779, 2141, 1134, 5423, 547, 3761, 513, 1688, 269, 634, 8515, 540, 18965, 1565, 568, 711, 585, 16764, 267, 865, 930, 1053, 949, 3605, 602, 789, 2461, 1732, 14018, 585, 519, 811, 6671, 4110, 4781, 269, 1280, 3236, 267, 513, 2875, 1522, 581, 7620, 12592, 547, 7118, 9120, 9344, 538, 1153, 547, 3489, 606, 27108, 693, 1753, 563, 2414, 2253, 609, 267, 519, 960, 3196, 7012, 1406, 3810, 13473, 610, 8036, 547, 14892, 6266, 540, 519, 6009, 602, 11478, 693, 519, 1699, 942, 269, 1411, 1522, 2303, 789, 798, 4010, 519, 1482, 1544, 543, 596, 2461, 2111, 547, 25262, 622, 676, 4543, 873, 267, 849, 269, 2201, 519, 16212, 2427, 267, 513, 6205, 814, 606, 17185, 547, 11963, 856, 543, 2272, 519, 1259, 519, 2200, 21248, 941, 1031, 543, 519, 3785, 602, 941, 6192, 563, 2467, 616, 513, 2603, 540, 6436, 827, 1565, 799, 948, 721, 1174, 519, 851, 540, 513, 2875, 610, 15226, 269, 2552, 6374, 908, 519, 1871, 540, 1557, 3584, 2509, 1603, 30664, 764, 762, 3594, 267, 621, 568, 1898, 585, 1053, 547, 10146, 875, 547, 2824, 519, 4998, 1557, 3584, 269, 645, 17928, 1053, 1522, 581, 1224, 4784, 1152, 476, 272, 942, 563, 8489, 553, 267, 519, 3044, 540, 1928, 666, 581, 6964, 547, 4766, 1018, 519, 10835, 7959, 899, 547, 519, 1268, 269, 769, 1082, 8320, 267, 621, 568, 2469, 547, 581, 519, 1920, 602, 596, 3580, 581, 3246, 513, 1390, 4308, 540, 519, 6044, 547, 269, 16952, 513, 24077, 6712, 540, 9120, 3461, 1416, 568, 8200, 593, 23833, 3800, 563, 10743, 1590, 2015, 2436, 789, 616, 4712, 547, 4308, 609, 519, 7274, 540, 2604, 789, 2461, 1360, 2693, 547, 3068, 538, 971, 606, 27268, 14053, 5790, 269, 4475, 267, 519, 4998, 2832, 540, 2069, 568, 8757, 547, 519, 1991, 3970, 540, 519, 1268, 2208, 1761, 269, 7464, 1565, 5956, 1169, 942, 513, 3210, 568, 1572, 585, 538, 4276, 609, 606, 1995, 563, 2690, 3236, 267, 5989, 2152, 949, 3310, 513, 1808, 3148, 1247, 1776, 568, 2348, 513, 3390, 540, 22584, 543, 3983, 8027, 269, 634, 2832, 568, 547, 24390, 519, 7227, 942, 607, 513, 1797, 547, 2333, 6075, 9547, 543, 2333, 12434, 269, 901, 3069, 5267, 621, 568, 711, 1898, 547, 1353, 2115, 610, 5042, 3157, 547, 1174, 8404, 267, 855, 602, 621, 568, 3274, 1898, 547, 4983, 519, 6364, 540, 2623, 563, 2005, 1522, 581, 1031, 538, 519, 4791, 2259, 12191, 269, 6435, 6267, 1685, 519, 5615, 602, 616, 2469, 547, 581, 4397, 540, 873, 538, 1483, 1272, 269, 1703, 616, 930, 2853, 563, 763, 1576, 814, 547, 581, 5293, 593, 519, 2034, 4674, 269, 4935, 267, 1565, 3884, 1406, 6913, 538, 606, 4013, 4259, 267, 855, 538, 519, 2688, 540, 8086, 540, 1554, 3562, 6377, 2833, 269, 1703, 616, 1896, 1114, 3029, 540, 6436, 602, 948, 4434, 938, 2259, 1169, 1554, 269, 0, 23763, 547, 917, 952, 707, 5172, 16277, 850, 666, 2972, 513, 20105, 540, 16741, 286, 1284, 4076, 3893, 519, 2626, 267, 7132, 930, 1187, 5013, 827, 16015 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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 ]

[ 2029, 543, 20678, 2509, 3152, 954, 6016, 1464, 267, 649, 16491, 873, 609, 519, 2645, 2877, 547, 4431, 24847, 267, 8308, 267, 543, 7561, 1282, 2564, 18002, 269, 1924, 1985, 942, 596, 1294, 606, 5605, 592, 766, 627, 714, 4506, 676, 267, 3314, 519, 6909, 16542, 3297, 519, 10207, 5329, 721, 2922, 543, 2635, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 9448, 304, 276, 281, 18329, 2657, 16680, 19457, 3590, 454, 763, 6554, 9250, 519, 18329, 2657, 16680, 19457, 3590, 630, 4385, 538, 28484, 1106, 607, 834, 324, 10890, 8442, 538, 476, 1001, 277, 585, 7589, 676, 2818, 540, 519, 1857, 543, 3782, 3028, 7426, 269, 1703, 616, 5784, 602, 607, 519, 3795, 540, 552, 10890, 1851, 3782, 3028, 7426, 568, 1869, 16283, 267, 543, 621, 568, 711, 954, 6016, 762, 609, 6301, 1633, 2564, 5238, 267, 891, 723, 3908, 519, 4390, 540, 519, 6554, 547, 3035, 922, 6662, 540, 267, 1851, 1866, 267, 10970, 11868, 519, 2604, 593, 519, 2533, 540, 519, 1857, 3782, 1062, 676, 14304, 1857, 17376, 10675, 11450, 267, 5009, 3119, 3782, 1646, 543, 5885, 15173, 15158, 1004, 547, 13649, 538, 519, 6301, 1633, 4872, 540, 519, 2871, 836, 323, 784, 6953, 784, 15158, 5336, 659, 7776, 20523, 7345, 9351, 269, 769, 713, 4276, 267, 786, 519, 6554, 1217, 713, 7027, 912, 263, 272, 264, 540, 519, 9757, 2338, 540, 1762, 1453, 267, 4079, 543, 11361, 7606, 945, 6192, 741, 14261, 585, 7589, 538, 552, 10890, 538, 1142, 540, 519, 2250, 2947, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 13640, 3139, 21778, 257, 607, 851, 540, 834, 25503, 1315, 20466, 2657, 7896, 1315, 17073, 6481, 7896, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 3738, 815, 1107, 16009, 16564, 815, 1107, 16009, 14668, 476, 273, 6567, 16009, 14668, 272, 544, 6567, 544, 272, 815, 476, 273, 476, 272, 1341, 16009, 14668, 272, 16009, 14668, 476, 273, 476, 272, 1341, 544, 272, 332, 273, 630, 553, 476, 272, 1341, 544, 272, 332, 273, 9881, 510, 476, 271, 264, 544, 273, 6567, 544, 272, 1547, 4475, 269, 6606, 269, 1403, 14668, 272, 543, 14668, 273, 616, 519, 13141, 5209, 540, 3515, 700, 272, 543, 700, 273, 269, 9386, 540, 519, 1899, 568, 544, 284, 544, 815, 16009, 476, 2568, 4113, 815, 476, 274, 269, 972, 8451, 1079, 2665, 281, 1547, 2913, 16564, 543, 26420, 581, 519, 11105, 7285, 1063, 519, 3515, 700, 272, 543, 700, 273, 630, 8993, 1015, 269, 1287, 649, 1265, 602, 891, 3515, 616, 2901, 12969, 532, 610, 6252, 269, 1284, 917, 602, 950, 1079, 3515, 12969, 1142, 824, 269, 3371, 649, 786, 1865, 519, 5086, 1063, 1079, 3515, 538, 2474, 540, 741, 19527, 269, 277, 1040, 14668, 273, 9881, 510, 476, 3445, 4113, 269, 789, 1118, 1079, 8424, 540, 19794, 6587, 7285, 971, 602, 2040, 540, 1022, 1079, 11105, 7285, 568, 476, 5197, 4113, 269, 607, 476, 272, 1341, 544, 272, 332, 273, 9881, 510, 476, 271, 476, 272, 1341, 544, 272, 332, 273, 8431, 476, 1015, 269, 799, 568, 711, 3989, 269, 476, 274, 6629, 274, 476, 271, 630, 323, 264, 3371, 31007, 540, 519, 1899, 14668, 815, 476, 2568, 4113, 269, 6606, 269, 273, 269, 3973, 544, 272, 815, 16009, 14668, 272, 543, 544, 273, 815, 16009, 14668, 273, 1547, 2913, 700, 272, 543, 700, 273, 581, 1079, 1875, 268, 3200, 673, 3515, 609, 19527, 544, 272, 543, 544, 273, 780, 269, 8865, 4083, 1403, 799, 1797, 602, 16564, 786, 581, 1073, 339, 2224, 543, 26420, 786, 581, 8650, 269, 476, 274, 1547, 1287, 16009, 16564, 786, 581, 2942, 543, 16009, 26420, 786, 581, 2318, 2529, 307, 6938, 20846, 700, 2562, 2464, 476, 20385, 8865, 594, 1403, 544, 476, 273, 6567, 544, 272, 568, 2318, 269, 8827, 1284, 917, 602, 519, 8650, 5086, 16564, 1063, 1079, 3515, 609, 19527, 544, 272, 543, 544, 273, 568, 2016, 676, 2913, 544, 272, 815, 16009, 16564, 815, 544, 273, 6567, 544, 272, 476, 272, 1341, 544, 272, 332, 476, 273, 1547, 799, 3947, 476, 272, 476, 272, 544, 6629, 476, 273, 815, 476, 272, 610, 6567, 476, 273, 815, 1107, 272, 269, 4935, 907, 568, 2016, 676, 16009, 16564, 815, 544, 476, 273, 6567, 544, 272, 1547, 6606, 907, 476, 272, 1341, 544, 272, 544, 476, 273, 799, 1797, 16564, 786, 581, 8650, 543, 26420, 786, 581, 1073, 339, 2224, 269, 476, 275, 476, 273, 476, 272, 476, 273, 476, 272, 476, 273, 3767, 269, 1287, 16009, 16564, 786, 581, 2318, 543, 16009, 26420, 786, 581, 2942, 269, 649, 1205, 12631, 16009, 815, 476, 275, 544, 6629, 476, 272, 476, 272, 266, 544, 476, 273, 610, 476, 272, 815, 544, 6629, 476, 272, 476, 272, 266, 544, 476, 273, 1547, 607, 476, 272, 1341, 544, 272, 332, 476, 273, 9881, 510, 476, 271, 476, 272, 1341, 544, 272, 332, 476, 273, 1547, 476, 272, 476, 272, 476, 272, 266, 476, 272, 266, 544, 544, 476, 273, 476, 273, 544, 6629, 476, 272, 4475, 544, 815, 476, 274, 610, 544, 815, 6567, 1547, 7151, 476, 273, 1403, 519, 5086, 1063, 1079, 3515, 568, 12631, 476, 272, 543, 9386, 540, 835, 540, 519, 3515, 568, 1547, 1265, 476, 275, 476, 273, 519, 9386, 540, 519, 824, 1899, 269, 476, 272, 1341, 544, 272, 544, 476, 273, 544, 476, 273, 6567, 544, 272, 568, 2942, 269, 630, 272, 264, 634, 1073, 339, 2224, 5086, 630, 25669, 26420, 264, 666, 581, 1336, 676, 1210, 26420, 815, 5197, 271, 1107, 16564, 269, 519, 8650, 5086, 630, 25669, 16564, 264, 1063, 3515, 700, 272, 543, 700, 273, 609, 19527, 544, 272, 543, 544, 273, 269, 544, 273, 815, 544, 543, 16564, 815, 1547, 630, 272, 264, 476, 272, 12631, 10371, 8380, 891, 2418, 538, 630, 272, 6393, 278, 7151, 476, 274, 7412, 998, 519, 2798, 630, 1700, 273, 269, 8431, 476, 1015, 269, 799, 3947, 544, 273, 815, 476, 272, 476, 1321, 6398, 815, 6567, 272, 610, 1535, 815, 476, 275, 1547, 1287, 1079, 3515, 786, 14626, 728, 269, 279, 264, 952, 543, 1152, 952, 9386, 540, 9474, 815, 9386, 540, 7460, 269, 476, 279, 1547, 476, 1321, 264, 543, 630, 343, 269, 8431, 476, 1015, 269, 1287, 789, 786, 9114, 593, 513, 1899, 269, 476, 277, 264, 543, 630, 275, 269, 8827, 32437, 540, 519, 1899, 998, 519, 2798, 630, 1700, 476, 273, 269, 1403, 1079, 3515, 2348, 519, 1482, 9386, 1780, 998, 513, 1455, 1448, 269, 278, 6941, 519, 476, 274, 2601, 540, 1079, 4267, 269, 275, 2051, 1467, 10846, 540, 1614, 2798, 1284, 917, 602, 19527, 540, 1079, 6252, 3515, 616, 3160, 269, 9386, 540, 519, 824, 1899, 568, 476, 272, 476, 274, 610, 6567, 1547, 9747, 269, 645, 543, 595, 616, 1614, 2798, 538, 519, 2473, 312, 13807, 2033, 269, 476, 279, 264, 568, 13902, 547, 519, 1899, 998, 519, 2798, 630, 279, 269, 476, 274, 1535, 6567, 279, 476, 1015, 269, 4855, 519, 1871, 540, 1535, 269, 13975, 13878, 30388, 9747, 4318, 907, 476, 2190, 264, 568, 476, 2190, 6567, 476, 1321, 476, 1321, 815, 1535, 6629, 279, 1535, 6567, 279, 4595, 1079, 3515, 616, 13902, 269, 476, 2190, 1040, 476, 277, 264, 543, 630, 275, 269, 952, 589, 269, 476, 1321, 264, 543, 630, 343, 269, 8431, 476, 1015, 269, 1614, 2798, 616, 897, 15035, 630, 8993, 476, 1015, 269, 273, 269, 544, 272, 544, 273, 815, 1107, 272, 269, 1775, 269, 476, 279, 264, 568, 544, 272, 815, 476, 279, 6629, 277, 476, 273, 476, 272, 815, 815, 476, 275, 6567, 630, 6567, 273, 3738, 476, 277, 476, 274, 32437, 540, 519, 1899, 998, 519, 2798, 630, 279, 780, 8340, 519, 3845, 1063, 623, 630, 343, 272, 269, 476, 274, 269, 8571, 513, 29105, 538, 519, 31951, 7077, 4318, 269, 586, 272, 6567, 737, 586, 6567, 344, 815, 476, 273, 476, 272, 1535, 272, 6567, 554, 1535, 273, 6567, 1535, 272, 610, 610, 737, 6567, 586, 272, 586, 476, 273, 6567, 586, 272, 815, 554, 6567, 1535, 272, 1535, 273, 6567, 1535, 272, 1547, 586, 272, 264, 543, 1627, 630, 343, 273, 269, 2798, 630, 271, 2529, 307, 6938, 20846, 700, 2562, 2464, 476, 21076, 7151, 476, 275, 8422, 2798, 623, 630, 327, 269, 543, 519, 4571, 15304, 540, 519, 1899, 10126, 11836, 519, 2798, 623, 630, 271, 269, 1627, 543, 681, 616, 897, 15035, 269, 667, 264, 581, 1022, 1448, 593, 519, 1899, 269, 586, 273, 264, 950, 2433, 630, 328, 264, 623, 304, 568, 6252, 547, 519, 586, 14289, 269, 950, 570, 815, 476, 271, 269, 799, 568, 1226, 573, 9665, 689, 519, 2798, 630, 278, 269, 942, 543, 3845, 3113, 540, 513, 5276, 5163, 568, 2016, 269, 1141, 667, 18575, 519, 3845, 693, 942, 570, 269, 280, 269, 476, 275, 1040, 630, 327, 1107, 1535, 272, 264, 630, 344, 273, 1107, 586, 272, 264, 815, 630, 330, 1107, 586, 272, 264, 630, 343, 273, 1107, 1535, 272, 264, 907, 630, 271, 269, 4746, 269, 4855, 14622, 540, 519, 6906, 269, 8827, 4595, 2798, 623, 269, 476, 271, 1040, 4171, 14622, 616, 630, 1700, 476, 275, 269, 272, 476, 272, 269, 737, 1040, 4475, 269, 280, 476, 279, 6567, 476, 273, 667, 6567, 279, 610, 815, 476, 274, 6629, 271, 570, 6567, 274, 610, 667, 815, 476, 273, 24867, 1341, 476, 272, 1040, 8058, 602, 630, 327, 1107, 1535, 272, 264, 630, 344, 273, 1107, 586, 272, 264, 815, 630, 330, 1107, 586, 272, 264, 630, 343, 273, 1107, 1535, 272, 1040, 649, 723, 32437, 540, 623, 304, 815, 32437, 540, 30040, 907, 1107, 273, 1040, 667, 815, 476, 279, 4318, 269, 586, 272, 264, 543, 681, 630, 343, 273, 269, 4855, 513, 1448, 593, 519, 1535, 14289, 269, 4635, 519, 1523, 540, 9386, 269, 8827, 2913, 630, 307, 269, 799, 10596, 998, 519, 5169, 269, 1265, 1876, 540, 5163, 269, 1107, 476, 276, 264, 543, 630, 1700, 476, 275, 269, 630, 276, 269, 667, 264, 616, 897, 15035, 865, 602, 8431, 476, 1015, 269, 476, 276, 269, 476, 277, 264, 543, 630, 274, 269, 1775, 269, 7151, 476, 276, 769, 8431, 476, 1015, 269, 476, 275, 269, 799, 568, 519, 2838, 6935, 269, 476, 276, 1040, 4855, 519, 9386, 540, 513, 1899, 269, 630, 4512, 264, 623, 304, 568, 6252, 547, 519, 1535, 14289, 269, 476, 278, 1040, 586, 273, 264, 9114, 593, 513, 1899, 269, 476, 273, 269, 875, 3845, 5673, 2390, 942, 269, 476, 277, 630, 307, 6567, 476, 274, 264, 815, 476, 274, 630, 291, 6567, 476, 279, 264, 12327, 2207, 290, 30990, 476, 1015, 269, 630, 274, 269, 634, 3490, 540, 606, 31164, 6906, 609, 2427, 476, 273, 320, 6013, 2059, 519, 586, 14289, 971, 602, 519, 4571, 15304, 540, 519, 3490, 568, 693, 519, 5169, 269, 5565, 7158, 540, 942, 543, 3845, 616, 6592, 607, 269, 1107, 476, 275, 264, 543, 645, 630, 279, 269, 476, 273, 1040, 667, 815, 476, 273, 543, 950, 570, 815, 476, 274, 269, 1547, 1265, 922, 1858, 269, 1775, 269, 1627, 630, 343, 272, 269, 476, 279, 264, 543, 630, 307, 780, 21413, 1210, 519, 19456, 23768, 11532, 269, 1265, 1018, 786, 581, 519, 2551, 538, 519, 1032, 476, 1001, 271, 286, 8431, 476, 1015, 269, 476, 274, 476, 1321, 269, 476, 278, 269, 1107, 476, 272, 1040, 4855, 519, 1871, 540, 1535, 585, 799, 519, 2798, 630, 343, 269, 476, 1556, 269, 274, 15316, 22553, 540, 519, 17817, 540, 513, 7412, 1284, 917, 602, 1169, 1899, 538, 513, 7077, 3568, 28222, 1082, 2798, 593, 621, 269, 1265, 519, 19527, 540, 519, 3515, 269, 272, 264, 543, 630, 275, 269, 9453, 1210, 3845, 4542, 269, 1700, 273, 1040, 1107, 476, 272, 1040, 634, 9386, 540, 513, 1899, 568, 5595, 540, 519, 9386, 540, 1776, 1899, 269, 1397, 602, 519, 2798, 630, 275, 269, 476, 273, 264, 616, 519, 14622, 540, 513, 25521, 269, 737, 264, 9114, 593, 513, 1899, 269, 476, 276, 264, 616, 897, 15035, 269, 1397, 602, 737, 1107, 586, 272, 815, 544, 630, 327, 1107, 1535, 272, 1040, 554, 737, 476, 1691, 269, 1265, 519, 9386, 540, 519, 1899, 9474, 543, 1210, 621, 269, 630, 274, 269, 536, 264, 543, 630, 271, 269, 799, 2306, 606, 5086, 540, 476, 1789, 4113, 609, 519, 2318, 4287, 540, 586, 14289, 6027, 1884, 545, 6674, 3772, 269, 476, 280, 269, 476, 275, 1040, 476, 279, 269, 1403, 9386, 540, 519, 1899, 568, 544, 269, 737, 1040, 1397, 602, 513, 536, 1341, 815, 476, 272, 269, 589, 1899, 10596, 998, 630, 343, 272, 269, 476, 271, 1040, 4855, 519, 9386, 540, 519, 1899, 269, 476, 1015, 269, 630, 320, 269, 476, 1724, 269, 1015, 476, 1015, 269, 630, 274, 269, 1700, 272, 264, 543, 630, 275, 269, 6333, 519, 1739, 2551, 543, 1032, 3113, 630, 8993, 476, 1015, 269, 1015, 1040, 1107, 272, 264, 616, 519, 14622, 540, 513, 1318, 2587, 1194, 6906, 269, 586, 272, 264, 543, 630, 327, 269, 476, 276, 264, 543, 630, 1700, 272, 269, 476, 274, 264, 543, 630, 1700, 274, 269, 1403, 1614, 2798, 630, 327, 269, 630, 273, 269, 4855, 519, 5086, 1063, 519, 1535, 14289, 543, 519, 1899, 11836, 519, 2798, 630, 274, 269, 1403, 17242, 540, 519, 5086, 1063, 873, 568, 476, 272, 1547, 630, 275, 269, 901, 2078, 1063, 1899, 543, 2798, 5012, 721, 547, 1265, 519, 3070, 540, 519, 1739, 1966, 281, 1547, 476, 271, 1040, 1397, 602, 2798, 630, 1700, 476, 273, 269, 18891, 13878, 30388, 476, 277, 780, 1556, 7151, 476, 277, 4855, 519, 4834, 540, 519, 3515, 6252, 547, 17887, 543, 8429, 998, 630, 1700, 476, 273, 269, 1280, 519, 3830, 540, 700, 269, 586, 264, 568, 606, 17062, 1448, 538, 519, 2473, 312, 13807, 2033, 543, 700, 568, 519, 2016, 1899, 269, 3767, 269, 649, 786, 1865, 519, 3830, 540, 513, 1899, 896, 1114, 2175, 269, 6382, 7301, 269, 476, 274, 1040, 2986, 1576, 519, 3948, 568, 8806, 606, 15821, 3830, 5473, 519, 4632, 1535, 543, 586, 269, 6684, 269, 649, 6999, 547, 4020, 513, 3948, 610, 2783, 585, 519, 1448, 623, 602, 568, 3020, 269, 274, 269, 634, 586, 18396, 15453 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 729, 513, 20281, 16287, 519, 8473, 1063, 519, 2296, 543, 3943, 2531, 514, 687, 269, 674, 9689, 1063, 519, 2296, 267, 3943, 267, 543, 7111, 4892, 3361, 513, 3126, 540, 10617, 602, 10969, 730, 519, 1858, 543, 8507, 538, 519, 10205, 618, 540, 519, 25345, 538, 519, 476, 12739, 271, 338, 563, 4910, 564, 25557, 540, 519, 25345, 1705, 711, 2049, 2394, 519, 476, 15876, 271, 338, 950, 8857, 577, 16927, 16194, 3885, 941, 4547, 547, 519, 4571, 18396, 770, 3148, 676, 29962, 6424, 14480, 8663, 896, 606, 2296, 9576, 23626, 269, 9546, 335, 1961, 267, 593, 519, 12456, 541, 4593, 27198, 5211, 282, 14250, 15838, 267, 693, 519, 2212, 540, 8592, 7345, 282, 543, 623, 9047, 638, 573, 22810, 941, 519, 1101, 12306, 2127, 269, 769, 713, 2034, 5951, 519, 13896, 941, 6705, 543, 18137, 5443, 269, 1358, 2813, 4630, 652, 1737, 338, 689, 519, 4104, 539, 2244, 543, 29633, 16025, 267, 6149, 267, 20398, 267, 543, 18720, 269, 11153, 9546, 335, 1961, 3885, 2968, 14547, 607, 18318, 543, 1804, 2244, 5411, 269, 2991, 29056, 2417, 4095, 10617, 538, 519, 4571, 268, 10204, 271, 338, 267, 519, 1858, 8057, 543, 605, 4944, 1229, 609, 1082, 540, 519, 2062, 15289, 338, 540, 1134, 8153, 3162, 30290, 3885, 21945, 538, 519, 8545, 851, 540, 519, 476, 1240, 628, 2540, 563, 1103, 476, 12293, 276, 267, 30290, 2968, 835, 540, 519, 9998, 11368, 10034, 538, 519, 19435, 540, 19051, 267, 1287, 851, 540, 12590, 269, 634, 3395, 635, 684, 885, 2877, 11018, 4025, 585, 3909, 2533, 543, 4884, 11401, 269, 769, 476, 10082, 273, 267, 20051, 670, 11817, 941, 3710, 538, 9546, 335, 1961, 267, 14250, 15838, 267, 543, 18471, 623, 1180, 269, 634, 9546, 335, 1961, 543, 14250, 15838, 5870, 17346, 7639, 2221, 267, 1031, 585, 2027, 2621, 543, 1930, 547, 519, 1857, 269, 30290, 729, 3238, 538, 519, 21829, 2782, 609, 7980, 21108, 519, 2199, 5032, 543, 10283, 538, 12959, 1472, 11785, 563, 3528, 519, 1376, 540, 519, 476, 866, 628, 2540, 267, 9546, 335, 1961, 729, 519, 2804, 543, 2551, 4099, 540, 519, 7532, 2427, 540, 519, 12456, 541, 4593, 27198, 5211, 269, 2311, 519, 1482, 942, 267, 3978, 2042, 609, 2244, 9562, 17774, 3166, 269, 28787, 532, 3959, 9562, 896, 476, 1704, 628, 2540, 4095, 23339, 543, 9576, 2244, 14828, 267, 646, 15077, 540, 4505, 32388, 832, 8179, 547, 3196, 519, 1699, 968, 338, 638, 520, 1562, 892, 2901, 547, 2628, 632, 8765, 585, 267, 610, 547, 7477, 622, 267, 741, 2182, 2914, 517, 543, 3407, 11396, 269, 1677, 844, 749, 8375, 5208, 267, 519, 12590, 8128, 12306, 2244, 6811, 538, 3870, 540, 519, 968, 338, 638, 520, 1562, 3034, 763, 2804, 9568, 540, 519, 2782, 540, 476, 8687, 273, 8697, 519, 9467, 4346, 540, 519, 12456, 541, 4593, 27198, 5211, 2950, 543, 8507, 538, 1454, 27465, 538, 9546, 335, 1961, 269, 1635, 519, 942, 540, 19051, 779, 1533, 3125, 538, 476, 9264, 271, 607, 3368, 540, 519, 16713, 3281, 668, 1047, 267, 10068, 267, 1312, 2282, 268, 543, 1055, 6879, 648, 267, 729, 4358, 547, 1831, 606, 1271, 2804, 3196, 593, 519, 30290, 25345, 269, 634, 4473, 540, 3162, 30290, 8498, 543, 681, 9801, 5112, 6816, 607, 513, 2551, 4099, 7389, 689, 602, 942, 269, 2060, 519, 530, 22135, 540, 16025, 543, 8105, 18666, 267, 10068, 543, 10935, 2679, 2968, 519, 7986, 23909, 540, 3162, 30290, 7264, 269, 2755, 7449, 14571, 8105, 729, 1869, 13736, 538, 9546, 335, 1961, 267, 29940, 1500, 909, 513, 1804, 6871, 540, 519, 2551, 693, 1849, 10225, 595, 913, 267, 3162, 30290, 267, 543, 681, 9801, 5112, 6816, 269, 3162, 30290, 1185, 1896, 1507, 10068, 7904, 1115, 543, 12015, 3165, 1163, 13024, 269, 634, 16011, 849, 3177, 1082, 9378, 523, 585, 519, 3677, 10068, 7904, 1115, 540, 4425, 1054, 321, 599, 543, 3162, 1636, 543, 1185, 1920, 13218, 547, 519, 3794, 537, 31569, 10068, 2872, 269, 26676, 543, 10935, 2679, 1185, 1831, 606, 1271, 1870, 538, 519, 2146, 676, 519, 476, 6977, 271, 338, 563, 763, 30290, 25345, 2366, 922, 844, 7974, 540, 2367, 547, 519, 6406, 2782, 269, 9093, 689, 3162, 30290, 941, 6719, 538, 1896, 1134, 8153, 1036, 9323, 267, 1519, 519, 476, 736, 628, 19051, 540, 5192, 339, 903, 7921, 21239, 269, 634, 5742, 13108, 1185, 1082, 3162, 30290, 9378, 523, 269, 634, 2022, 6406, 2782, 4965, 729, 1055, 1606, 564, 593, 519, 30290, 25345, 676, 519, 22820, 540, 519, 2367, 17495, 523, 267, 610, 533, 9609, 267, 13278, 344, 269, 1452, 522, 1176, 3165, 941, 10731, 1282, 519, 476, 6942, 271, 338, 267, 543, 519, 4571, 18396, 770, 540, 19051, 729, 519, 4099, 540, 519, 13278, 344, 269, 3162, 30290, 1185, 1614, 15327, 14291, 2367, 17495, 523, 547, 3407, 3282, 543, 3165, 7594, 269, 3509, 540, 519, 32067, 8075, 538, 3162, 30290, 8498, 4266, 689, 713, 942, 540, 13884, 563, 4415, 519, 12900, 540, 519, 533, 9609, 13278, 344, 676, 476, 6642, 271, 267, 519, 1858, 11124, 2352, 2804, 2053, 269, 634, 3500, 608, 21402, 540, 3885, 547, 519, 7178, 2799, 538, 519, 476, 6642, 271, 338, 267, 543, 519, 30290, 1858, 2551, 8593, 269, 28524, 267, 10068, 267, 543, 10935, 2679, 4797, 267, 543, 5010, 4672, 16276, 543, 13143, 532, 3576, 1747, 693, 1849, 10225, 595, 913, 269, 1717, 267, 609, 4824, 6283, 267, 1519, 2848, 4461, 4721, 267, 1507, 5757, 9252, 2692, 1846, 267, 543, 14884, 267, 4832, 14666, 941, 4742, 811, 1271, 547, 519, 4571, 18396, 770, 269, 769, 476, 6245, 278, 267, 519, 5742, 5783, 729, 3710, 267, 855, 621, 729, 711, 2394, 476, 5002, 274, 602, 621, 2968, 6896, 607, 513, 30798, 609, 922, 1101, 14012, 267, 1234, 3164, 526, 595, 269, 654, 2454, 2023, 29124, 269, 3097, 28275, 609, 513, 4832, 12733, 593, 28740, 4173, 517, 6816, 538, 519, 476, 6245, 271, 338, 267, 8285, 595, 913, 267, 3162, 30290, 267, 543, 1849, 10225, 595, 913, 941, 22205, 4832, 8436, 547, 20730, 267, 27756, 8075, 267, 543, 7401, 11623, 676, 476, 5002, 271, 269, 634, 4070, 540, 13272, 26181, 1137, 4166, 3366, 547, 513, 2407, 1922, 1194, 3022, 4832, 12733, 10704, 593, 8285, 595, 913, 269, 634, 8285, 595, 913, 26094, 5948, 729, 8547, 538, 476, 5002, 271, 476, 543, 1082, 13272, 1609, 919, 4266, 689, 713, 1974, 269, 1635, 519, 2038, 476, 736, 628, 2540, 267, 8285, 595, 913, 1185, 1831, 513, 586, 778, 1154, 10278, 269, 21278, 2533, 547, 4832, 8436, 2968, 267, 543, 814, 7283, 267, 513, 2101, 3693, 540, 519, 2199, 4346, 563, 9558, 1636, 566, 4797, 547, 2087, 538, 519, 2038, 5756, 540, 519, 476, 736, 628, 2540, 609, 9252, 29539, 3028, 547, 12456, 541, 4593, 27198, 543, 519, 12625, 540, 519, 18914, 538, 476, 4489, 272, 269, 1635, 476, 4489, 274, 267, 2705, 267, 3162, 30290, 7264, 941, 3395, 27025, 30829, 609, 2199, 10350, 896, 519, 16011, 540, 30290, 269, 7324, 741, 20286, 729, 519, 16011, 779, 5821, 547, 2226, 519, 8115, 267, 9897, 267, 543, 2427, 19789, 802, 538, 3162, 30290, 282, 519, 21376, 2126, 540, 3162, 30290, 779, 3506, 538, 6476, 547, 1346, 538, 30290, 282, 543, 519, 3845, 547, 519, 30290, 4400, 3427, 267, 799, 1500, 621, 12303, 28998, 547, 519, 3454, 2628, 619, 540, 3162, 30290, 269, 634, 1267, 729, 513, 3126, 540, 4620, 1431, 689, 3162, 30290, 7264, 547, 519, 1533, 23328, 5275, 9668, 689, 519, 16011, 540, 30290, 269, 7053, 538, 476, 4489, 276, 267, 3162, 30290, 2968, 513, 5094, 4884, 16922, 540, 9546, 335, 1961, 267, 1849, 10225, 595, 913, 267, 3162, 30290, 8498, 267, 543, 681, 9801, 5112, 543, 28740, 4173, 517, 10195, 563, 7437, 2622, 2782, 594, 267, 519, 4279, 12870, 267, 543, 2622, 2782, 4083, 267, 519, 16011, 1185, 3875, 1920, 11396, 267, 1896, 10935, 26767, 267, 543, 513, 1507, 10068, 2872, 267, 2059, 609, 519, 782, 268, 28695, 968, 8999, 1067, 4123, 1848, 634, 29542, 31133, 720, 26676, 12881, 267, 3323, 538, 476, 4572, 277, 267, 3177, 7694, 585, 1082, 9952, 10935, 26767, 267, 607, 1705, 10935, 29288, 538, 5101, 4425, 1054, 321, 599, 269, 4438, 2622, 2782, 4083, 519, 31133, 720, 13452, 3710, 11308, 15183, 933, 788, 619, 585, 519, 2136, 2276, 13108, 269, 2991, 519, 2112, 267, 519, 31133, 720, 13452, 2322, 3162, 30290, 593, 519, 4786, 609, 4070, 540, 1082, 1804, 11308, 10068, 543, 22892, 8043, 269, 898, 729, 1767, 602, 693, 835, 942, 3368, 540, 519, 1715, 16170, 5112, 267, 12590, 10068, 18239, 1185, 1044, 3710, 538, 3162, 30290, 563, 763, 476, 3422, 271, 338, 543, 476, 3192, 271, 338, 4718, 519, 4098, 540, 1713, 2242, 269, 31123, 560, 1359, 2968, 519, 8789, 13278, 344, 269, 14568, 9897, 4847, 4443, 1569, 547, 519, 16011, 267, 4611, 538, 606, 2333, 538, 4832, 4036, 1878, 269, 28524, 538, 519, 7187, 851, 540, 3162, 30290, 17379, 267, 543, 811, 1032, 15778, 7264, 941, 10707, 856, 540, 4884, 547, 960, 693, 4025, 899, 24872, 11635, 3718, 269, 634, 31133, 720, 26676, 12881, 607, 513, 32063, 540, 11308, 267, 543, 13713, 5374, 267, 8043, 3357, 547, 606, 1439, 538, 476, 2735, 272, 269, 634, 16011, 2968, 5051, 8200, 593, 519, 8637, 543, 2533, 540, 12456, 541, 4593, 27198, 269, 4825, 790, 525, 1500, 909, 513, 3677, 6871, 540, 519, 16011, 779, 2551, 267, 10452, 513, 6237, 7678, 563, 4407, 3162, 30290, 779, 2551, 8057, 2949, 267, 519, 1297, 540, 1453, 538, 519, 1153, 1062, 17379, 689, 476, 4198, 271, 338, 2157, 269, 1744, 648, 4395, 3959, 267, 2523, 593, 681, 9801, 5112, 6816, 267, 2968, 3407, 543, 17077, 269, 634, 594, 571, 595, 269, 11023, 1782, 13149, 4741, 540, 519, 2160, 540, 19051, 8118, 538, 476, 3422, 276, 543, 814, 1831, 606, 18368, 6444, 7286, 7350, 1382, 4099, 563, 9213, 972, 616, 1896, 6967, 4609, 602, 2285, 513, 19214, 883, 519, 2038, 1686, 540, 519, 16011, 269, 634, 16399, 10979, 5600, 568, 1631, 513, 9754, 1930, 547, 519, 1857, 269, 10979, 568, 1869, 19122, 689, 519, 11105, 11432, 1169, 5162, 543, 6740, 538, 519, 4672, 2777, 585, 4832, 946, 269, 1401, 3031, 1080, 1397, 519, 4672, 16276, 1184, 543, 519, 2645, 1031, 269, 634, 9546, 335, 1961, 20051, 5600, 568, 1869, 1031, 21237, 585, 3909, 2533, 267, 11401, 267, 12311, 26204, 267, 543, 7574, 12644, 269, 634, 3135, 540, 519, 3312, 31133, 720, 26676, 12881, 568, 1631, 513, 2261, 2088, 609, 10935, 4859, 543, 513, 7816, 9744, 269, 2986, 519, 2947, 3506, 602, 6039, 519, 16011, 538, 519, 476, 866, 628, 2540, 267, 519, 590, 10003, 3427, 630, 322, 269, 5908, 271, 547, 476, 3707, 274, 264, 3788, 269, 901, 835, 268, 3336, 1153, 5264, 267, 1572, 519, 17619, 3427, 693, 519, 942, 621, 6806, 267, 814, 1044, 17468, 547, 922, 5920, 538, 519, 476, 4350, 271, 338, 676, 519, 3162, 30290, 8466, 5980, 269, 898, 568, 1930, 547, 519, 1857, 269, 17721, 4609, 540, 8978, 4644, 1331, 519, 1975, 709, 331, 13067, 652, 1737, 543, 519, 14667, 31283, 5600, 267, 1312, 593, 519, 2817, 19193, 540, 19866, 26317, 2059, 609, 519, 9546, 335, 1961, 543, 14250, 15838, 5870, 17346, 543, 519, 16399, 10979, 5264, 563, 2690, 811, 593, 519, 1686, 540, 3162, 30290, 267, 1294, 20307, 654, 269, 31133, 720, 267, 589, 10374, 3778, 540, 3162, 30290, 267, 19051, 2073, 27057, 856, 540, 1820, 855, 2139, 693, 519, 681, 9801, 5112, 7732, 543, 519, 3162, 30290, 8466, 5980, 282, 31130, 27673, 267, 13560, 593, 519, 6816, 267, 5455, 593, 519, 6301, 6902, 543, 670, 269, 8092, 517, 2782, 1676, 267, 589, 3778, 540, 519, 19198, 543, 4256, 670, 11817, 269, 476, 634, 3162, 30290, 8466, 5980, 4092, 593, 681, 9801, 5112, 6816, 814, 3573, 3180, 902, 1930, 547, 519, 1857, 543, 568, 593, 1899, 693, 8940, 4732, 1926, 1962, 626, 565, 7290, 5566, 338, 1539, 1214, 3820, 270, 563, 31513, 267, 15656, 18379, 582, 282, 634, 3864, 20570, 540, 3345, 3013, 281, 634, 7187, 16831, 1137, 282, 1715, 3840, 282, 10228, 2160, 4964, 282, 476, 3192, 272, 282, 6032, 269, 476, 28143, 268, 280, 563, 674, 29531, 267, 6424, 27725, 9116, 282, 16422, 21622, 779, 14134, 282, 1715, 3840, 282, 17363, 1299, 5576, 13831, 282, 476, 1220, 279, 282, 533, 269, 476, 25248, 563, 8738, 14141, 267, 8361, 21690, 10045, 267, 667, 6185, 5919, 634, 23548, 25751, 540, 20616, 19051, 281, 476, 8182, 273, 268, 13679, 279, 282, 24144, 267, 19051, 282, 29485, 24614, 5600, 282, 476, 4489, 275, 282, 533, 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 ]

[ 8942, 547, 10536, 10002, 21242, 1239, 563, 22033, 827, 519, 1353, 3135, 267, 1353, 1374, 267, 2551, 267, 10014, 543, 17181, 7355, 267, 3732, 2450, 693, 15977, 267, 2085, 267, 4008, 267, 8167, 609, 12110, 267, 10368, 7355, 267, 1974, 540, 8343, 267, 4908, 540, 8343, 267, 1826, 540, 8579, 2079, 543, 519, 3584, 540, 1719, 729, 18928, 7493, 539, 689, 1142, 1867, 563, 10303, 1016, 1910, 526, 668, 531, 2589, 711, 3356, 532, 547, 1642, 597, 1756, 949, 2099, 519, 1439, 540, 513, 20547, 12558, 540, 1642, 597, 1756, 267, 649, 6592, 2436, 19801, 2665, 540, 9399, 291, 941, 11342, 610, 10071, 2665, 269, 2776, 1998, 550, 9399, 291, 729, 3989, 607, 513, 5868, 540, 9399, 291, 693, 519, 942, 540, 513, 1101, 4879, 282, 10071, 9399, 291, 729, 3989, 607, 513, 5868, 540, 9399, 291, 1739, 835, 610, 811, 10526, 609, 1100, 2589, 540, 1642, 597, 1756, 563, 2414, 3313, 14496, 267, 519, 2409, 540, 1142, 1353, 941, 12290, 2687, 547, 4143, 5036, 540, 14496, 7355, 269, 3962, 1353, 729, 20639, 609, 2463, 547, 5870, 22791, 264, 610, 711, 5870, 630, 6629, 264, 1142, 540, 519, 7355, 563, 5472, 7493, 539, 1344, 729, 9184, 4327, 269, 589, 12007, 13849, 20400, 729, 5342, 676, 28388, 267, 9236, 543, 17804, 7493, 539, 1239, 563, 24092, 13849, 20400, 2553, 630, 292, 1375, 518, 1696, 620, 1421, 476, 1220, 272, 264, 941, 4294, 547, 1114, 2516, 540, 2090, 543, 2090, 609, 26729, 1239, 689, 1079, 610, 811, 2090, 269, 26426, 20400, 729, 1031, 547, 5173, 519, 5916, 7447, 585, 1614, 1114, 6859, 281, 630, 272, 264, 9860, 543, 11841, 540, 9399, 291, 630, 2889, 15251, 5148, 630, 273, 264, 12918, 5223, 630, 3036, 264, 540, 9399, 291, 2404, 609, 1142, 1981, 3815, 282, 543, 630, 274, 264, 10758, 540, 9399, 291, 2404, 609, 1142, 6364, 269, 1280, 782, 1614, 13849, 12845, 26087, 525, 267, 2687, 547, 8912, 2259, 267, 649, 1031, 513, 6378, 1198, 2203, 1101, 267, 4553, 676, 513, 1449, 540, 4630, 23189, 269, 13689, 593, 2436, 4630, 23189, 729, 7608, 610, 15653, 267, 649, 1031, 519, 6378, 610, 519, 4351, 1198, 2203, 547, 12337, 519, 7447, 630, 2889, 15251, 610, 10758, 264, 543, 922, 476, 4817, 260, 6015, 8884, 630, 5746, 1040, 634, 13849, 20400, 729, 5342, 1210, 519, 681, 3301, 476, 273, 269, 1724, 269, 271, 630, 17569, 720, 281, 631, 4953, 288, 630, 5471, 777, 1886, 4297, 543, 5254, 25353, 3301, 476, 1015, 269, 271, 630, 17569, 720, 13849, 1040, 11206, 13602, 941, 6537, 540, 1367, 543, 7535, 539, 9193, 540, 9860, 543, 11841, 267, 543, 10758, 338, 585, 1981, 2188, 543, 4093, 269, 7053, 267, 950, 2009, 267, 649, 19034, 13849, 15696, 1833, 3631, 547, 2708, 519, 1764, 540, 1353, 4632, 593, 519, 2164, 630, 292, 1375, 518, 1696, 620, 1421, 476, 1220, 272, 1916, 763, 3406, 4640, 26857, 476, 8287, 5732, 4143, 2090, 282, 476, 2641, 941, 27366, 585, 811, 2143, 6268, 269, 3828, 10679, 2090, 1558, 519, 10014, 7355, 630, 299, 5271, 330, 4752, 1696, 620, 1421, 476, 1960, 277, 267, 16205, 656, 517, 1470, 1696, 620, 1421, 476, 1220, 273, 267, 23045, 1696, 620, 1421, 476, 1220, 274, 267, 25816, 23437, 5336, 1105, 817, 517, 1696, 620, 1421, 476, 1220, 275, 267, 9149, 696, 345, 514, 1696, 620, 1421, 476, 1220, 276, 267, 744, 340, 22015, 1696, 620, 1421, 476, 1220, 278, 267, 18000, 1696, 620, 1421, 476, 1220, 279, 267, 15182, 731, 1696, 620, 1421, 476, 1220, 280, 267, 31762, 10005, 1696, 620, 1421, 476, 1001, 271, 267, 4787, 13681, 1731, 1696, 620, 1421, 476, 1001, 271, 267, 23045, 1696, 620, 1421, 476, 1001, 272, 267, 23045, 1696, 620, 1421, 476, 1001, 273, 1070, 1519, 1079, 1114, 2090, 540, 519, 1482, 20165, 630, 290, 1961, 1696, 620, 1421, 476, 1001, 272, 267, 23045, 1696, 620, 1421, 476, 1001, 273, 1040, 27607, 2090, 941, 16934, 281, 1079, 1705, 711, 946, 11807, 10368, 7355, 267, 2947, 1705, 711, 556, 1606, 10547, 5396, 609, 9399, 291, 547, 23868, 1346, 3356, 532, 547, 1642, 597, 1756, 267, 835, 729, 513, 26134, 8313, 543, 835, 1705, 711, 2743, 1614, 540, 519, 10014, 7355, 563, 29619, 540, 3769, 2090, 454, 763, 476, 1321, 2090, 630, 8368, 476, 272, 264, 941, 5342, 538, 3345, 3013, 630, 333, 815, 476, 280, 264, 610, 2342, 630, 333, 815, 476, 274, 264, 543, 19801, 4587, 2550, 15861, 547, 2564, 630, 333, 815, 476, 277, 264, 610, 10551, 630, 333, 815, 476, 274, 264, 538, 18345, 4559, 267, 23080, 14306, 1416, 4559, 630, 333, 815, 476, 272, 264, 610, 700, 12839, 6703, 630, 333, 815, 476, 273, 1040, 12726, 2450, 24132, 689, 476, 7871, 547, 476, 9083, 276, 267, 11667, 476, 23056, 1700, 7742, 269, 6399, 2085, 24132, 689, 476, 8287, 547, 476, 5952, 1296, 267, 11667, 476, 3583, 1296, 269, 634, 8167, 540, 2021, 24132, 689, 476, 271, 260, 547, 476, 8064, 9077, 11667, 476, 4649, 1700, 6795, 260, 282, 519, 8167, 609, 12110, 24132, 689, 476, 271, 260, 547, 476, 3583, 9077, 11667, 476, 5392, 10065, 634, 1974, 540, 8343, 24132, 689, 476, 276, 547, 476, 5197, 2395, 267, 11667, 476, 278, 1700, 279, 2395, 269, 1879, 519, 1974, 540, 8343, 3238, 811, 982, 835, 3346, 267, 519, 4908, 540, 17066, 24132, 689, 1614, 2053, 829, 1554, 547, 12353, 267, 11667, 3232, 269, 14210, 2090, 19801, 10071, 9399, 291, 630, 299, 5271, 330, 4752, 1696, 620, 1421, 476, 1960, 277, 267, 16205, 656, 517, 1470, 1696, 620, 1421, 476, 1220, 273, 267, 23045, 1696, 620, 1421, 476, 1220, 274, 267, 25816, 23437, 5336, 1105, 817, 517, 1696, 620, 1421, 476, 1220, 275, 267, 9149, 696, 345, 514, 1696, 620, 1421, 476, 1220, 276, 267, 18000, 1696, 620, 1421, 476, 1220, 279, 267, 15182, 731, 1696, 620, 1421, 476, 1220, 280, 267, 31762, 10005, 1696, 620, 1421, 476, 1001, 271, 267, 23045, 1696, 620, 1421, 476, 1001, 272, 267, 23045, 1696, 620, 1421, 476, 1001, 273, 1070, 476, 276, 19801, 11342, 9399, 291, 630, 299, 5271, 330, 4752, 1696, 620, 1421, 476, 1960, 277, 267, 23045, 1696, 620, 1421, 476, 1220, 274, 267, 25816, 23437, 5336, 1105, 817, 517, 1696, 620, 1421, 476, 1220, 275, 267, 15182, 731, 1696, 620, 1421, 476, 1220, 280, 267, 31762, 10005, 1696, 620, 1421, 476, 1001, 271, 1070, 543, 1079, 19801, 513, 7848, 540, 11342, 543, 10071, 9399, 291, 630, 302, 340, 22015, 1696, 620, 1421, 476, 1220, 278, 267, 4787, 13681, 1731, 1696, 620, 1421, 476, 1001, 271, 1916, 8368, 476, 272, 2529, 636, 4424, 540, 5525, 540, 519, 22039, 540, 9399, 291, 454, 347, 5410, 547, 3733, 623, 5357, 454, 347, 12041, 630, 20204, 10534, 15575, 787, 1475, 16954, 1637, 1475, 2750, 2424, 7355, 1475, 2750, 2424, 7355, 1475, 301, 1475, 13614, 2085, 1475, 293, 24580, 4939, 1475, 5719, 10879, 4939, 1475, 14240, 540, 9399, 291, 1475, 20540, 540, 8343, 630, 17058, 10534, 293, 15968, 540, 8343, 1475, 7093, 28700, 4939, 1475, 18823, 2064, 270, 15553, 4939, 2008, 30054, 5271, 330, 4752, 1696, 620, 269, 630, 1960, 277, 10534, 24433, 1475, 11085, 1475, 4792, 266, 1475, 1700, 1475, 7742, 1475, 1700, 1475, 5780, 1475, 736, 1475, 272, 610, 811, 540, 804, 537, 3429, 540, 9637, 267, 538, 3430, 1549, 267, 771, 528, 1304, 566, 267, 829, 24632, 18063, 1475, 278, 1475, 291, 2905, 1475, 1321, 269, 277, 1475, 2767, 269, 277, 2008, 23277, 2117, 656, 517, 1470, 1696, 620, 269, 630, 1220, 273, 10534, 24433, 1475, 10485, 1475, 4792, 31956, 12048, 17795, 1475, 26073, 1670, 17795, 267, 1642, 597, 1756, 1475, 14338, 1475, 8064, 1475, 8064, 1475, 4343, 269, 276, 1475, 272, 610, 811, 595, 4456, 4295, 2589, 1475, 278, 1700, 279, 1475, 291, 2905, 1475, 1700, 1475, 2764, 269, 274, 2008, 18871, 1961, 1696, 620, 1421, 630, 1220, 274, 10534, 28657, 1475, 11085, 1475, 4792, 266, 1475, 1805, 6593, 267, 593, 19223, 267, 1642, 597, 1756, 1475, 13932, 1475, 10695, 1475, 10170, 1475, 7871, 1475, 7093, 1998, 550, 9399, 291, 281, 476, 273, 610, 811, 540, 282, 804, 537, 3429, 540, 9637, 267, 538, 3430, 1549, 267, 771, 528, 1304, 566, 267, 829, 24632, 18063, 282, 10071, 9399, 291, 281, 476, 272, 610, 811, 540, 804, 537, 3429, 540, 9637, 267, 538, 3430, 1549, 267, 771, 528, 1304, 566, 267, 829, 24632, 18063, 1475, 278, 1475, 9336, 476, 273, 2395, 1475, 2568, 269, 280, 1475, 3607, 269, 276, 2008, 21270, 712, 23437, 1696, 620, 269, 630, 1220, 275, 10534, 293, 8896, 1475, 294, 308, 1475, 4037, 31956, 2713, 693, 1753, 1475, 1700, 1475, 275, 2767, 1475, 5952, 1475, 4649, 1475, 7367, 1475, 272, 610, 811, 595, 4456, 4295, 2589, 1475, 1428, 1700, 1839, 1475, 9336, 476, 274, 2395, 1475, 736, 269, 277, 1475, 275, 269, 280, 2008, 30054, 18967, 345, 514, 1696, 620, 1421, 630, 1220, 276, 10534, 24433, 1475, 10485, 1475, 2004, 31956, 1528, 633, 9647, 31517, 6391, 1475, 5719, 10879, 610, 1642, 597, 1756, 1991, 547, 6391, 1475, 3199, 1475, 6858, 1475, 6872, 1475, 271, 1475, 272, 610, 811, 540, 804, 537, 3429, 540, 9637, 267, 538, 3430, 1549, 267, 771, 528, 1304, 566, 267, 829, 24632, 18063, 1475, 1691, 1475, 291, 2905, 585, 476, 275, 2395, 267, 1287, 693, 476, 1691, 2395, 1475, 1700, 1475, 4097, 269, 275, 2008, 347, 302, 340, 22015, 1696, 620, 269, 630, 1220, 278, 10534, 28657, 1475, 2975, 308, 1475, 2975, 308, 19749, 354, 2190, 554, 1475, 4467, 520, 846, 1475, 276, 4391, 1475, 8287, 1475, 2412, 1475, 286, 1475, 30360, 476, 272, 1700, 274, 593, 594, 7374, 17092, 1475, 277, 1475, 274, 27473, 1475, 3451, 269, 274, 320, 2008, 30106, 534, 1696, 620, 269, 630, 1220, 279, 10534, 24433, 1475, 10485, 1475, 16978, 633, 13487, 6391, 1475, 7093, 268, 10869, 1642, 597, 1756, 1475, 7871, 1475, 8287, 1475, 271, 1475, 286, 1475, 272, 610, 811, 595, 4456, 4295, 2589, 1475, 278, 1475, 291, 2905, 1475, 1700, 1475, 4097, 2008, 347, 8867, 517, 731, 1696, 620, 269, 630, 1220, 280, 10534, 296, 516, 1633, 1475, 303, 1475, 1700, 1475, 10908, 553, 26489, 1290, 320, 17361, 18016, 476, 274, 1475, 1911, 1475, 7597, 1475, 7906, 1475, 286, 1475, 272, 610, 811, 595, 4456, 4295, 2589, 1475, 278, 1475, 25582, 569, 1475, 2767, 269, 275, 1475, 1321, 269, 274, 2008, 18871, 518, 10005, 1696, 620, 269, 630, 1001, 271, 10534, 2005, 3315, 1475, 16256, 308, 1475, 1700, 1475, 4467, 320, 267, 1642, 597, 1756, 1475, 23056, 1475, 3583, 1475, 6246, 1475, 286, 1475, 30360, 476, 272, 268, 274, 593, 594, 7374, 17092, 1475, 3066, 1475, 291, 2905, 1475, 275, 269, 277, 1475, 273, 269, 280, 2008, 16085, 330, 13681, 1731, 1696, 620, 269, 630, 1001, 271, 10534, 28657, 1475, 2975, 308, 1475, 1700, 1475, 4467, 320, 1475, 9083, 276, 1475, 8287, 630, 652, 10534, 6795, 630, 652, 10534, 286, 1475, 30360, 476, 272, 268, 274, 593, 594, 7374, 17092, 1475, 276, 1700, 277, 1475, 274, 27473, 1475, 4029, 269, 275, 320, 2008, 18871, 1961, 1696, 620, 269, 630, 1001, 272, 267, 476, 1001, 273, 10534, 28657, 1475, 299, 12839, 1475, 4792, 266, 1475, 1700, 1475, 10441, 1475, 10019, 1475, 2568, 1475, 5392, 1475, 263, 272, 264, 476, 272, 610, 811, 595, 4456, 4295, 2589, 1475, 5197, 1475, 25582, 569, 1475, 1700, 1475, 273, 269, 276, 2008, 347, 15946, 1475, 5952, 1475, 4792, 1475, 3583, 1475, 263, 273, 264, 476, 273, 610, 811, 595, 4456, 4295, 2589, 1475, 5197, 1475, 25582, 569, 1475, 1700, 1475, 271, 269, 280, 2008, 1103, 519, 476, 1321, 2090, 267, 9399, 291, 729, 8995, 1210, 1614, 1114, 5036, 540, 7355, 630, 8368, 476, 272, 1040, 8422, 2090, 630, 299, 5271, 330, 4752, 1696, 620, 1421, 476, 1960, 277, 267, 23045, 1696, 620, 1421, 476, 1220, 274, 267, 9149, 696, 345, 514, 1696, 620, 1421, 476, 1220, 276, 264, 3989, 9399, 291, 607, 519, 4527, 540, 835, 610, 1079, 630, 528, 811, 264, 2589, 540, 1642, 597, 1756, 267, 711, 5870, 519, 7355, 585, 1642, 597, 1756, 282, 519, 2589, 3769, 538, 3430, 1549, 267, 12012, 1377, 540, 9637, 267, 771, 528, 1304, 566, 543, 829, 24632, 18063, 269, 14520, 2090, 630, 300, 2117, 656, 517, 1470, 1696, 620, 1421, 476, 1220, 273, 267, 25816, 23437, 5336, 1105, 817, 517, 1696, 620, 1421, 476, 1220, 275, 267, 18000, 1696, 620, 1421, 476, 1220, 279, 267, 15182, 731, 1696, 620, 1421, 476, 1220, 280, 267, 23045, 1696, 620, 1421, 476, 1001, 272, 267, 23045 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6286, 540, 519, 3597, 3123, 543, 2470, 540, 519, 4708, 543, 1931, 1271, 2609, 540, 519, 5208, 267, 835, 3112, 3914, 513, 1697, 1267, 593, 7114, 519, 5208, 269, 769, 7305, 476, 274, 3029, 540, 5208, 543, 6114, 616, 3254, 269, 1703, 568, 513, 1360, 6094, 1899, 1063, 4708, 543, 2112, 269, 901, 1899, 5161, 540, 2797, 1949, 543, 14761, 269, 1403, 519, 14761, 798, 711, 2746, 5265, 538, 3210, 547, 2797, 2042, 267, 789, 786, 1118, 621, 811, 2352, 547, 1832, 519, 4708, 269, 901, 568, 849, 519, 2013, 538, 519, 3486, 1062, 267, 538, 799, 2829, 543, 3486, 14761, 1831, 519, 1292, 11051, 945, 2099, 602, 6094, 1899, 269, 1403, 789, 723, 22157, 547, 2721, 593, 2147, 2241, 4214, 531, 6688, 547, 5581, 543, 16048, 741, 6114, 267, 789, 786, 4870, 877, 519, 2797, 2238, 540, 519, 1866, 267, 7551, 2870, 811, 2042, 269, 1452, 1866, 949, 1419, 2744, 513, 4110, 540, 1489, 543, 26117, 950, 1004, 1294, 741, 20494, 341, 1734, 538, 519, 2923, 543, 538, 1857, 7521, 630, 23613, 12107, 267, 476, 1220, 274, 1040, 769, 519, 1739, 7305, 476, 275, 267, 1114, 2157, 540, 2797, 4655, 616, 3254, 543, 13747, 269, 634, 3349, 8638, 1533, 11051, 543, 1875, 15581, 11051, 538, 11685, 543, 3947, 741, 6214, 607, 11604, 2592, 269, 1403, 519, 2797, 1062, 568, 711, 513, 12666, 11180, 1062, 267, 1287, 519, 11685, 949, 711, 581, 538, 513, 2990, 547, 2769, 922, 2093, 543, 4244, 607, 1454, 607, 1346, 8066, 1533, 1379, 269, 476, 280, 454, 310, 20488, 8657, 630, 3192, 275, 281, 476, 14695, 1040, 1261, 2829, 602, 2048, 11004, 616, 693, 2547, 2185, 3631, 540, 3448, 22975, 281, 8375, 6788, 949, 16765, 820, 8375, 12588, 282, 7207, 949, 2611, 11979, 1247, 20772, 4473, 282, 2489, 8739, 20300, 4731, 320, 1047, 949, 2965, 3142, 827, 513, 6749, 538, 7207, 1247, 6788, 2611, 3586, 282, 543, 6368, 972, 568, 519, 5929, 808, 268, 2017, 557, 7613, 538, 799, 267, 585, 513, 1974, 267, 7207, 1832, 10605, 609, 8375, 6788, 543, 1287, 10393, 6749, 3297, 9957, 476, 1015, 16026, 630, 1220, 278, 1040, 1261, 2829, 602, 2048, 263, 337, 264, 601, 894, 22975, 568, 1767, 547, 2049, 950, 519, 4093, 4810, 676, 2043, 616, 17071, 547, 1346, 602, 281, 513, 264, 789, 4397, 547, 4309, 610, 536, 264, 5433, 602, 789, 941, 13886, 547, 4309, 269, 898, 568, 519, 24081, 1890, 1063, 4093, 543, 6788, 543, 5924, 519, 9860, 540, 4093, 602, 616, 9833, 607, 24407, 602, 13054, 3448, 22975, 17483, 763, 18366, 543, 15863, 25400, 20330, 265, 8450, 29430, 630, 1220, 274, 1916, 1607, 1223, 1291, 621, 547, 4431, 593, 513, 1114, 1377, 269, 1403, 519, 1533, 11051, 4431, 538, 2490, 609, 519, 946, 540, 3196, 267, 713, 1522, 581, 1293, 1229, 609, 3196, 540, 513, 2147, 2470, 269, 26588, 753, 5652, 13187, 602, 2048, 1492, 3668, 540, 5191, 538, 1082, 2694, 540, 519, 1158, 602, 729, 519, 6574, 3463, 547, 4708, 543, 6617, 685, 263, 32056, 1067, 267, 476, 1220, 277, 281, 1535, 4512, 1040, 901, 2856, 3366, 5518, 17312, 547, 9772, 513, 14985, 1634, 607, 519, 17312, 1684, 551, 9068, 267, 1556, 855, 930, 19174, 723, 10404, 2213, 621, 269, 769, 519, 2796, 540, 519, 5664, 5101, 267, 585, 3236, 267, 717, 1021, 2829, 602, 2048, 11004, 568, 1100, 2601, 547, 3494, 602, 513, 1847, 4724, 811, 9111, 538, 6259, 2829, 1131, 1219, 937, 873, 689, 741, 1576, 269, 1656, 972, 568, 1100, 2601, 547, 3494, 602, 789, 1223, 711, 15313, 13794, 538, 811, 11180, 6259, 2829, 4534, 2523, 952, 1346, 2829, 4797, 547, 723, 1434, 1894, 609, 519, 2136, 2276, 267, 1500, 4708, 609, 5840, 267, 543, 3622, 1969, 539, 538, 2081, 11807, 547, 6115, 685, 263, 294, 1021, 8633, 267, 476, 1220, 278, 1040, 1717, 267, 5329, 519, 2797, 2497, 540, 519, 5664, 5101, 607, 621, 568, 786, 711, 15069, 4194, 519, 1966, 269, 1306, 26588, 753, 5652, 3081, 267, 2048, 296, 993, 18617, 602, 782, 9082, 7287, 547, 581, 1863, 269, 594, 993, 18617, 602, 5191, 9170, 786, 1118, 519, 1158, 10930, 10876, 685, 630, 4537, 541, 753, 5652, 267, 476, 1220, 277, 1040, 9453, 5191, 540, 3903, 267, 4082, 543, 3661, 267, 3354, 568, 711, 2009, 269, 10801, 1686, 267, 476, 1556, 454, 763, 17312, 1684, 551, 9068, 568, 2012, 2016, 547, 513, 1305, 540, 4914, 3609, 4808, 1101, 30792, 676, 5518, 6723, 654, 269, 17312, 538, 1010, 30134, 618, 4633, 547, 519, 4271, 908, 1362, 540, 4639, 8672, 2016, 593, 4873, 476, 272, 267, 476, 1220, 273, 269, 634, 4507, 267, 3144, 1927, 267, 13890, 513, 3376, 1007, 5123, 538, 2475, 3609, 602, 1131, 1747, 3152, 8561, 593, 4108, 840, 15041, 1632, 267, 4108, 27166, 9497, 560, 31104, 3564, 4161, 19823, 796, 10561, 2962, 267, 543, 513, 7029, 547, 834, 2169, 2056, 9111, 267, 15698, 267, 543, 3354, 547, 782, 4525, 2668, 634, 3609, 729, 6101, 1242, 538, 513, 3561, 11331, 634, 2817, 8232, 15613, 540, 519, 2136, 2276, 540, 3013, 267, 3370, 593, 5181, 476, 736, 267, 476, 1220, 273, 563, 300, 4953, 308, 22295, 22494, 5442, 667, 14110, 5085, 8008, 16774, 454, 303, 11823, 589, 2388, 642, 269, 11572, 11534, 3789, 265, 3557, 540, 13458, 3557, 589, 2758, 6348, 15581, 589, 2758, 1230, 14846, 15348, 594, 269, 14329, 540, 4521, 630, 305, 719, 514, 2213, 4341, 267, 594, 269, 11534, 3789, 6214, 630, 299, 984, 2421, 532, 1851, 11307, 13846, 676, 2245, 267, 9821, 267, 1379, 25963, 267, 5250, 540, 11685, 13338, 5773, 264, 2046, 543, 6105, 267, 678, 718, 625, 267, 21146, 16311, 267, 25036, 1496, 2224, 540, 10470, 585, 2797, 6560, 8079, 1133, 935, 14846, 15348, 4083, 269, 11534, 1833, 630, 10048, 760, 1637, 540, 4083, 269, 6348, 8686, 2723, 550, 11059, 630, 12892, 13889, 585, 8013, 21146, 1184, 267, 2797, 30373, 540, 17710, 543, 24890, 267, 13178, 267, 13999, 282, 23405, 547, 1397, 18275, 267, 7130, 267, 4222, 540, 1857, 1489, 282, 1875, 8882, 2830, 1674, 540, 11685, 267, 21568, 540, 9316, 267, 3540, 27136, 17171, 267, 543, 6595, 9086, 264, 824, 3029, 540, 1875, 8686, 2723, 550, 2962, 264, 15329, 550, 15348, 8633, 269, 15329, 550, 3115, 1833, 585, 8633, 269, 2422, 540, 20222, 585, 16311, 566, 1852, 540, 1533, 1379, 4101, 1533, 1379, 8633, 269, 272, 269, 630, 303, 11823, 10456, 269, 11572, 8633, 269, 476, 272, 269, 7698, 9552, 1955, 1440, 2581, 618, 264, 8633, 269, 476, 273, 269, 2667, 817, 1588, 269, 630, 5715, 1204, 18050, 8633, 269, 476, 273, 269, 2667, 817, 1588, 2797, 12638, 264, 8633, 269, 476, 274, 269, 3557, 268, 614, 2928, 1143, 630, 339, 677, 675, 267, 2669, 8633, 269, 476, 274, 269, 28015, 1143, 630, 5719, 23949, 1204, 18050, 2695, 6758, 267, 14897, 1734, 267, 2797, 12638, 264, 5834, 13122, 264, 8633, 269, 476, 275, 269, 7136, 659, 637, 8633, 269, 476, 275, 269, 7136, 659, 637, 8633, 269, 476, 276, 269, 2871, 20482, 8759, 2782, 11071, 8633, 269, 476, 276, 269, 18378, 2782, 8633, 269, 476, 277, 269, 6184, 4026, 1890, 267, 7169, 630, 604, 8633, 269, 476, 277, 269, 6599, 333, 17462, 18025, 7035, 545, 1047, 270, 7049, 17462, 3811, 1040, 3557, 540, 2782, 2608, 6423, 5576, 13232, 1696, 620, 269, 630, 1960, 279, 281, 476, 6812, 268, 280, 264, 4586, 8072, 6343, 513, 16048, 6392, 2371, 267, 3947, 922, 12504, 543, 30256, 267, 621, 1131, 11349, 621, 689, 741, 24873, 9957, 1321, 13458, 786, 3142, 4708, 630, 4537, 664, 267, 476, 1960, 276, 5148, 2112, 6770, 2112, 630, 295, 600, 323, 21807, 267, 476, 1220, 271, 1040, 13458, 568, 519, 1439, 1587, 540, 5191, 267, 6913, 998, 2797, 2792, 3989, 607, 2048, 1492, 2702, 540, 1004, 547, 2769, 741, 5784, 267, 4555, 267, 543, 4978, 11884, 267, 1510, 519, 4250, 602, 789, 786, 581, 29802, 607, 513, 1267, 685, 1724, 538, 602, 2797, 1062, 269, 901, 2797, 476, 1321, 476, 1724, 454, 288, 15349, 6031, 269, 26588, 753, 5652, 630, 1220, 273, 1070, 1261, 2829, 602, 2048, 263, 342, 264, 324, 1590, 1174, 602, 621, 568, 711, 1152, 2043, 945, 616, 3160, 267, 855, 849, 519, 3084, 885, 540, 713, 1158, 602, 616, 3160, 269, 1358, 782, 17330, 547, 2661, 538, 9111, 267, 547, 2661, 896, 513, 2229, 602, 5673, 593, 873, 10200, 6489, 7717, 23216, 609, 26588, 753, 5652, 543, 2829, 602, 2048, 335, 668, 7627, 24339, 26494, 538, 519, 6806, 7239, 540, 519, 5664, 5101, 666, 1683, 513, 1305, 540, 2418, 543, 2093, 602, 2709, 513, 3532, 4244, 547, 519, 9029, 540, 519, 2186, 540, 17119, 1143, 602, 2221, 814, 1336, 4082, 538, 22681, 2534, 267, 1419, 1996, 772, 2529, 269, 4690, 630, 20360, 7717, 267, 476, 1220, 274, 1916, 23890, 568, 2009, 538, 12666, 11180, 1949, 543, 711, 538, 562, 1180, 655, 7095, 2797, 1949, 269, 1306, 6489, 7717, 4967, 267, 2048, 12047, 7095, 5238, 543, 5773, 267, 676, 7175, 519, 12560, 21047, 540, 20494, 341, 1734, 543, 3246, 9055, 585, 7589, 538, 13422, 1136, 267, 666, 948, 547, 2232, 1346, 5817, 2175, 602, 723, 23185, 685, 630, 20360, 7717, 267, 476, 1220, 274, 264, 9097, 5314, 543, 18483, 563, 276, 269, 9483, 543, 1514, 5072, 476, 276, 269, 272, 269, 9483, 5072, 1684, 2804, 2175, 4492, 18483, 286, 634, 2626, 9775, 281, 593, 519, 835, 1688, 267, 2048, 680, 4868, 540, 16555, 543, 930, 4081, 14172, 2303, 602, 2804, 2175, 899, 6710, 543, 4747, 8635, 1360, 1454, 2339, 585, 18483, 676, 7133, 2157, 540, 22975, 267, 4606, 540, 21440, 267, 543, 8754, 2797, 8082, 685, 263, 289, 584, 2998, 517, 267, 476, 1220, 275, 1040, 2201, 519, 824, 1688, 267, 930, 824, 5640, 3858, 602, 621, 568, 2352, 547, 3715, 513, 1463, 3095, 1063, 18483, 543, 2804, 2175, 630, 298, 745, 1122, 518, 543, 22503, 1188, 13960, 267, 476, 1220, 274, 320, 1040, 28015, 1143, 568, 513, 2797, 1966, 543, 621, 568, 711, 606, 2804, 1966, 269, 1717, 267, 6214, 5540, 519, 4346, 998, 519, 1374, 540, 2804, 4507, 269, 1403, 891, 4507, 1711, 811, 21440, 267, 4747, 8635, 543, 6710, 267, 1287, 1346, 1004, 945, 616, 7092, 1317, 540, 1346, 1135, 1182, 786, 6318, 741, 9739, 1996, 519, 14761, 269, 4475, 267, 972, 568, 513, 3095, 1063, 2804, 2175, 543, 18483, 267, 4352, 621, 568, 711, 513, 1463, 835, 269, 2368, 24192, 267, 16113, 5261, 8092, 525, 267, 25595, 9995, 2401, 267, 543, 19124, 7736, 619, 267, 723, 4294, 519, 2804, 2203, 540, 6760, 547, 30427, 18483, 269, 2560, 1492, 2804, 2203, 11729, 1906, 6405, 11236, 538, 810, 30138, 607, 519, 2078, 1063, 2344, 3255, 543, 7589, 538, 18483, 568, 7255, 267, 1317, 7589, 538, 22681, 6411, 676, 2043, 609, 1114, 4162, 5673, 593, 519, 5506, 602, 7589, 786, 3142, 827, 519, 5551, 2797, 1689, 267, 607, 1134, 607, 519, 11186, 2628, 4752, 585, 519, 1585, 2516, 2404, 609, 8236, 519, 9810, 1235, 262, 5551, 6663, 8957, 519, 20507, 2404, 609, 5821, 269, 898, 568, 2009, 267, 585, 1383, 267, 602, 1134, 268, 14445, 730, 2043, 786, 25409, 7119, 538, 22681, 2516, 952, 789, 1589, 602, 789, 786, 8263, 5718, 7158, 952, 789, 8011, 267, 610, 952, 789, 2697, 811, 9244, 609, 519, 3853, 540, 519, 22681, 3919, 982, 1447, 268, 14445, 730, 2043, 630, 298, 745, 1122, 518, 543, 22503, 1188, 13960, 267, 476, 1220, 274, 320, 282, 7736, 619, 543, 9995, 2401, 267, 476, 1220, 275, 1040, 901, 2186, 540, 13429, 12346, 593, 2048, 1492, 1966, 540, 18483, 602, 13000, 519, 1367, 3375, 547, 4497, 538, 22681, 2238, 607, 513, 7787, 3903, 11810, 267, 799, 568, 7361, 538, 1899, 609, 12170, 2963, 685, 263, 306, 1013, 749, 523, 22138, 267, 476, 1220, 276, 1040, 4475, 267, 2804, 2175, 798, 723, 606, 1764, 593, 519, 5072, 3123, 540, 18483, 267, 855, 713, 1281, 711, 8209, 1611, 602, 4057, 1004, 786, 581, 3238, 538, 18483, 811, 982, 519, 3638, 267, 610, 602, 4057, 2477, 786, 723, 811, 18483, 982, 3638, 3283, 563, 300, 4953, 308, 22295, 22494, 5442, 667, 14110, 5085, 8008, 16774, 454, 21156, 540, 13156, 18483, 607, 513, 3210, 4534, 2901, 1463, 610, 9940, 910, 1729, 6710, 610, 22293, 267, 594, 2303, 602, 621, 568, 811, 8308, 9763, 607, 513, 3210, 547, 2797, 2175, 543, 32618, 4606, 540, 967, 793, 640, 543, 17140, 602, 723, 2370, 547, 798, 609, 2804, 6381, 269, 594, 14353, 602, 568, 1946, 3486, 22681, 6411, 616, 811, 2693, 547, 581, 8149, 676, 1004, 945 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1185, 1044, 513, 1297, 540, 2296, 543, 1977, 11051, 4663, 532, 5245, 267, 519, 10515, 11017, 5174, 549, 5803, 11450, 5963, 7436, 519, 3811, 4663, 532, 540, 5245, 676, 18368, 12021, 11051, 269, 1452, 3769, 29775, 822, 639, 7935, 5803, 267, 9478, 16962, 267, 6004, 269, 543, 11427, 269, 8176, 3223, 534, 267, 543, 7395, 27932, 18703, 543, 808, 269, 595, 269, 5261, 5459, 563, 5804, 476, 6977, 279, 10515, 11017, 849, 3964, 513, 2797, 4876, 602, 16768, 1055, 7146, 6823, 2394, 476, 6245, 276, 269, 5384, 543, 2230, 1281, 711, 1450, 585, 1022, 11840, 566, 593, 10515, 11017, 779, 2797, 4876, 267, 824, 982, 17548, 602, 621, 729, 5266, 3811, 543, 646, 729, 513, 12595, 4759, 540, 519, 9757, 16972, 1612, 2993, 14613, 543, 15424, 26639, 593, 799, 646, 2893, 269, 898, 568, 267, 2705, 267, 538, 1010, 2048, 4752, 685, 2797, 1296, 602, 10515, 11017, 9663, 1492, 1042, 8241, 16222, 269, 901, 3769, 16565, 519, 20989, 9576, 267, 24332, 267, 799, 19890, 729, 26151, 547, 519, 2666, 538, 476, 6942, 273, 269, 1306, 519, 20989, 9576, 729, 796, 1231, 3293, 10515, 11017, 4682, 2048, 321, 755, 685, 1586, 269, 16480, 267, 646, 4646, 513, 12233, 543, 32206, 519, 20989, 9576, 269, 898, 729, 538, 713, 1974, 602, 646, 849, 5340, 538, 519, 7330, 1141, 646, 1558, 808, 5861, 269, 5261, 5459, 543, 7395, 27932, 18703, 267, 543, 538, 476, 6642, 272, 7722, 873, 547, 1685, 538, 5245, 563, 306, 4428, 1359, 689, 30456, 689, 476, 5908, 279, 267, 10515, 11017, 9307, 1010, 16468, 689, 519, 3942, 282, 606, 23318, 646, 6854, 1818, 585, 1985, 8938, 268, 15957, 1296, 269, 1261, 24389, 593, 3875, 2048, 11071, 6202, 685, 19150, 538, 5245, 543, 824, 3703, 10125, 855, 1705, 711, 2285, 909, 519, 16222, 2394, 519, 4571, 268, 6642, 271, 338, 269, 3571, 2663, 1296, 941, 5631, 7255, 609, 1010, 2797, 4876, 267, 607, 1134, 607, 3384, 519, 16972, 15798, 728, 1016, 7875, 540, 29813, 1370, 334, 267, 1141, 646, 5030, 609, 1010, 1920, 269, 769, 476, 6977, 276, 10515, 11017, 1185, 9310, 4498, 28625, 670, 2812, 6577, 267, 29775, 822, 639, 7935, 5803, 779, 11097, 15735, 11078, 2987, 25237, 269, 4498, 28625, 5747, 538, 476, 6977, 280, 267, 543, 13604, 267, 10515, 11017, 9310, 835, 540, 1200, 20766, 689, 1200, 1101, 7365, 267, 21667, 670, 2812, 6577, 267, 538, 476, 5908, 272, 269, 10515, 11017, 1185, 1614, 1453, 689, 1010, 1101, 7365, 267, 1614, 20766, 267, 543, 5722, 1453, 689, 1010, 2034, 7365, 267, 1079, 14930, 543, 2947, 20766, 269, 31453, 585, 835, 8250, 689, 1010, 1101, 7365, 267, 21667, 543, 519, 824, 1453, 15068, 1864, 950, 10515, 11017, 5747, 538, 476, 5002, 277, 563, 1607, 5618, 17250, 3085, 1406, 2731, 798, 5126, 547, 519, 6909, 1272, 540, 6723, 10515, 11017, 269, 1306, 606, 17076, 267, 646, 7463, 538, 2048, 869, 18792, 8730, 855, 729, 849, 3811, 538, 2048, 5035, 673, 685, 1568, 267, 971, 607, 11184, 8834, 1855, 1794, 548, 538, 15593, 573, 534, 779, 634, 3427, 585, 20280, 531, 267, 7585, 3600, 637, 538, 15593, 573, 534, 779, 634, 681, 11040, 267, 25414, 700, 2794, 7219, 538, 717, 9529, 19431, 779, 2701, 853, 334, 3591, 1677, 1230, 20960, 269, 5487, 684, 4897, 582, 717, 984, 2692, 538, 9956, 779, 634, 8585, 31008, 540, 24131, 269, 634, 4207, 8241, 10404, 6276, 8055, 4330, 10515, 11017, 779, 13007, 543, 2702, 547, 6707, 9446, 968, 1492, 11432, 2730, 588, 565, 7190, 543, 791, 523, 25523, 1076, 23535, 7190, 540, 1978, 2010, 540, 8103, 9789, 5639, 267, 519, 32376, 267, 519, 5322, 267, 519, 4082, 540, 519, 17076, 779, 2934, 267, 941, 782, 538, 3501, 10103, 609, 519, 2790, 543, 5837, 7329, 3930, 2106, 322, 6652, 625, 540, 519, 1268, 646, 6719, 267, 865, 602, 519, 812, 5128, 11542, 1354, 596, 513, 2713, 4641, 6100, 901, 5267, 602, 972, 729, 606, 8650, 2631, 540, 8343, 540, 1483, 1272, 267, 543, 513, 2186, 540, 2038, 2048, 11499, 1143, 685, 538, 10515, 11017, 779, 3197, 267, 23344, 538, 9247, 15398, 13371, 5107, 269, 901, 568, 1264, 7757, 676, 1010, 16222, 17907, 4526, 1673, 1311, 528, 1202, 14571, 593, 2048, 322, 8091, 1942, 11167, 685, 585, 1010, 3197, 543, 24299, 630, 288, 26894, 9218, 540, 22335, 1916, 2026, 1134, 607, 2679, 26974, 637, 267, 1519, 519, 25905, 20989, 267, 24332, 267, 9591, 1007, 2409, 540, 10229, 2982, 267, 543, 8744, 3486, 5159, 547, 5245, 267, 10515, 11017, 849, 5280, 547, 3715, 10677, 9086, 585, 24420, 23412, 538, 5245, 543, 729, 835, 540, 519, 1101, 547, 12167, 585, 513, 2048, 25217, 540, 9117, 547, 1020, 8241, 9117, 685, 630, 288, 26894, 9218, 540, 22335, 1916, 290, 641, 11017, 849, 23647, 543, 4547, 4342, 1564, 547, 2263, 519, 9703, 5245, 267, 930, 540, 519, 4342, 1564, 602, 10515, 11017, 16865, 941, 593, 519, 29070, 8738, 651, 543, 654, 1571, 16939, 630, 5908, 271, 268, 8618, 1040, 1733, 12241, 8227, 543, 9614, 540, 519, 595, 8145, 11448, 25052, 267, 24332, 267, 646, 11231, 585, 519, 1101, 19666, 17891, 607, 1417, 936, 24332, 543, 5280, 547, 6338, 2296, 4278, 16640, 543, 3043, 2220, 753, 547, 5245, 269, 901, 568, 1175, 519, 2048, 339, 760, 540, 519, 4672, 6199, 685, 540, 519, 5963, 7415, 6723, 10515, 11017, 563, 4002, 4873, 476, 275, 267, 476, 9965, 280, 267, 538, 519, 1647, 540, 513, 17638, 5162, 543, 1447, 982, 476, 1240, 3275, 2094, 2048, 5575, 5590, 25557, 8730, 519, 1101, 4062, 540, 2048, 310, 3480, 685, 16222, 729, 3812, 538, 519, 1007, 12733, 1107, 634, 5589, 745, 1746, 20229, 676, 6723, 10787, 638, 9618, 269, 901, 1101, 26974, 3740, 2504, 538, 519, 1007, 12733, 729, 15841, 538, 22632, 540, 3751, 6723, 8633, 779, 14512, 267, 5340, 676, 513, 1895, 540, 7164, 20903, 338, 267, 547, 606, 16918, 5304, 540, 827, 476, 2568, 1004, 267, 1519, 17135, 14880, 22361, 760, 267, 519, 13149, 17620, 10492, 543, 741, 24726, 267, 607, 1134, 607, 519, 1906, 2048, 16451, 13896, 8730, 543, 729, 5340, 538, 513, 986, 916, 327, 871, 548, 20903, 554, 583, 269, 4033, 982, 713, 711, 1454, 568, 1634, 827, 713, 1101, 26974, 3740, 2504, 267, 20866, 267, 972, 616, 513, 1297, 540, 2188, 602, 2611, 607, 9645, 7506, 593, 519, 1915, 540, 519, 4207, 8241, 17076, 269, 1452, 1331, 1107, 519, 7591, 267, 519, 2048, 8110, 14127, 6611, 8730, 519, 2048, 30631, 8730, 543, 519, 2920, 832, 269, 901, 3126, 540, 9708, 786, 1413, 693, 1142, 540, 891, 2188, 543, 875, 789, 9305, 547, 2413, 8241, 16222, 267, 4670, 267, 543, 8613, 2259, 538, 8108, 519, 1915, 540, 519, 8241, 17076, 269, 901, 2022, 4145, 2048, 763, 2920, 832, 17483, 275, 269, 634, 2920, 832, 454, 2171, 798, 711, 917, 519, 4408, 540, 519, 20903, 11051, 945, 5340, 634, 5589, 745, 1746, 20229, 269, 1548, 649, 798, 917, 568, 602, 2048, 16341, 540, 519, 11051, 4203, 26860, 2933, 609, 1390, 6891, 267, 543, 4607, 519, 17192, 540, 519, 5304, 685, 630, 310, 520, 7219, 14210, 577, 267, 589, 13159, 10055, 540, 519, 5590, 25557, 693, 5800, 12722, 267, 538, 1715, 3162, 12986, 269, 5507, 269, 476, 9692, 274, 269, 476, 1839, 1040, 5015, 267, 789, 1185, 1100, 2362, 2832, 982, 2048, 327, 3518, 569, 547, 10161, 513, 12837, 685, 630, 21837, 19811, 269, 1323, 10055, 540, 519, 2296, 2051, 3415, 538, 1715, 3162, 12986, 269, 5507, 269, 476, 9692, 279, 1040, 898, 949, 267, 2705, 267, 581, 10924, 602, 789, 941, 10838, 519, 1906, 945, 1223, 1224, 267, 543, 7654, 2328, 269, 898, 949, 849, 581, 21230, 10924, 602, 789, 949, 723, 2938, 538, 4789, 513, 2504, 540, 634, 5589, 745, 1746, 20229, 563, 8138, 8019, 267, 15029, 25127, 267, 789, 949, 723, 24018, 741, 12644, 593, 519, 1699, 2511, 540, 519, 9117, 538, 519, 2296, 16222, 538, 519, 3735, 268, 1240, 628, 11416, 269, 901, 568, 30833, 676, 971, 11051, 607, 6424, 12275, 4459, 630, 14378, 278, 268, 10082, 280, 1070, 8861, 590, 1342, 976, 630, 11260, 276, 268, 8146, 272, 1070, 3627, 22361, 760, 918, 655, 1076, 630, 11260, 278, 268, 9264, 274, 1070, 543, 667, 7702, 16888, 630, 12293, 272, 268, 8687, 277, 1040, 898, 568, 3833, 2009, 602, 519, 20903, 11051, 949, 723, 2938, 891, 2442, 11051, 267, 3226, 667, 7702, 16888, 945, 729, 519, 3056, 13371, 957, 816, 540, 519, 942, 563, 763, 9117, 2511, 949, 723, 1044, 3879, 13577, 543, 3087, 894, 267, 9148, 532, 519, 5266, 2048, 668, 4842, 685, 543, 2048, 338, 550, 2939, 1275, 685, 540, 4207, 2442, 16919, 269, 1717, 267, 538, 14621, 547, 891, 20903, 11051, 685, 2773, 267, 1022, 7050, 9694, 1005, 949, 723, 1044, 10169, 1964, 11712, 1813, 547, 519, 15982, 2048, 3080, 7304, 7112, 685, 2773, 2230, 540, 513, 1507, 20903, 554, 583, 269, 2290, 936, 7721, 322, 1243, 1688, 5951, 949, 723, 5679, 18088, 936, 513, 23156, 543, 519, 2898, 1747, 1131, 723, 8854, 909, 538, 513, 1025, 10270, 454, 1432, 849, 666, 581, 10924, 568, 602, 519, 20903, 338, 941, 606, 26254, 540, 2048, 600, 19812, 685, 11051, 563, 1103, 2413, 5245, 2048, 600, 19812, 16222, 685, 568, 519, 4102, 543, 1034, 3309, 540, 26974, 3740, 2534, 543, 6278, 538, 519, 2197, 269, 5015, 267, 2436, 621, 581, 538, 513, 1164, 1153, 610, 6280, 2504, 610, 609, 513, 2199, 23153, 16222, 2754, 267, 713, 568, 1141, 1034, 8241, 11051, 2253, 563, 8072, 15578, 623, 6369, 312, 7246, 298, 2207, 8730, 2048, 21788, 2910, 7419, 15045, 312, 24912, 23184, 7495, 685, 1299, 681, 15477, 12224, 590, 2839, 288, 310, 17751, 454, 24171, 918, 2940, 958, 779, 3209, 634, 7591, 20447, 630, 2735, 278, 1070, 543, 7033, 828, 331, 820, 654, 1068, 523, 321, 6033, 779, 3942, 9542, 3776, 13474, 779, 6153, 630, 2735, 279, 264, 568, 827, 713, 20903, 2504, 540, 634, 5589, 745, 1746, 20229, 269, 7033, 828, 331, 820, 654, 1068, 523, 321, 6033, 779, 1404, 814, 1044, 6707, 588, 3042, 2429, 519, 1158, 267, 568, 1869, 1373, 3812, 267, 543, 568, 3226, 2442, 609, 12416, 3506, 563, 1103, 918, 2940, 958, 779, 3209, 543, 654, 1068, 523, 321, 6033, 779, 1404, 267, 519, 20903, 17076, 7917, 28788, 12537, 630, 11260, 279, 268, 5197, 280, 264, 568, 513, 4759, 540, 519, 5641, 585, 634, 5589, 745, 1746, 20229, 269, 1703, 568, 1100, 6169, 602, 713, 729, 519, 2013, 267, 20866, 267, 5103, 25127, 267, 621, 568, 3833, 2009, 607, 7917, 28788, 12537, 814, 519, 11984, 540, 1373, 10838, 519, 1101, 540, 6592, 8241, 11051, 563, 27144, 28788, 12537, 729, 4535, 538, 5507, 538, 476, 11260, 279, 269, 1635, 476, 9965, 273, 646, 1185, 1044, 4857, 607, 513, 29200, 555, 3971, 267, 729, 26722, 540, 2048, 6588, 526, 561, 2117, 523, 344, 8730, 543, 30992, 547, 2669, 269, 901, 729, 862, 3176, 547, 6283, 267, 543, 8754, 28788, 12537, 1336, 5128, 607, 851, 540, 519, 2048, 5575, 18307, 564, 685, 593, 519, 6928, 14886, 1222, 563, 306, 573, 12537, 729, 513, 2048, 339, 4459, 3122, 9957, 4438, 519, 22116, 547, 5800, 12722, 267, 1010, 2012, 729, 6592, 676, 700, 339, 269, 25453, 18412, 593, 1079, 14026, 543, 729, 2322, 538, 2048, 597, 976, 685, 585, 2048, 574, 13630, 29561, 9957, 1733, 12241, 621, 568, 7164, 2436, 610, 711, 646, 729, 513, 4759, 540, 519, 20903, 5641, 540, 634, 5589, 745, 1746, 20229, 267, 20866, 267, 1010, 2012, 31272, 8986, 538, 476, 9965, 280, 267, 1373, 3238, 609, 519, 16304, 540, 7788, 16026, 267, 519, 1101, 4807, 547, 581, 13401, 630, 1721, 17403, 264, 538, 519, 1007, 12733, 269, 769, 476, 9692, 273, 28788, 12537, 4607, 513, 19585, 533, 30972, 543, 513, 2407, 533, 30972, 538, 476, 9692, 275, 267, 609, 513, 4579, 547, 581, 513, 536, 6033, 585, 519, 17055, 10136, 563, 1103, 476, 9692, 277, 646, 8118, 513, 476, 6344, 10160, 16222, 538, 13852, 18007, 630, 852, 2349, 662, 9335, 1070, 17638, 267, 609, 519, 10479, 540, 17135, 3627, 28865, 269, 1261, 2322, 593, 22956, 18007, 324, 779, 634, 3004, 3022, 344, 540, 13191, 1744, 648, 267, 799, 729, 4553, 676, 824, 267, 1519, 513, 25954, 540, 634, 5589, 745, 1746, 20229, 269, 10251, 267, 28788, 12537, 779, 16222, 729, 6806, 538, 476, 5197, 271, 267, 1373, 9833, 607, 11851, 532, 513, 2048, 14585, 4533, 532, 3310, 685, 593, 519, 19679, 326, 1782, 4884, 540, 17638, 563, 7628, 519, 5618, 1974, 538, 799, 28788, 12537, 779, 16222, 13234, 267, 646, 3812, 606, 9542 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2476, 32716, 267, 855, 513, 10792, 2262, 13489, 338, 909, 10845, 1848, 0, 3528, 18842, 3559, 548, 24305, 1231, 267, 12854, 267, 12463, 295, 267, 5274, 3004, 16751, 2657, 8889, 20180, 528, 454, 14737, 528, 640, 1072, 3028, 7426, 543, 3173, 2087, 519, 2729, 540, 519, 14605, 6039, 267, 9207, 5703, 267, 2760, 6039, 543, 1346, 911, 15436, 1242, 676, 519, 32012, 885, 540, 1480, 19338, 269, 3776, 1034, 7925, 5095, 4324, 689, 741, 5075, 543, 18532, 3210, 547, 741, 2115, 269, 20523, 5698, 693, 519, 3084, 267, 1533, 267, 17174, 543, 2199, 2157, 786, 3986, 3646, 547, 1439, 1480, 19338, 563, 9336, 4989, 2066, 519, 2136, 2276, 267, 649, 29428, 19724, 640, 2657, 13600, 2443, 513, 942, 6825, 676, 2146, 4656, 2238, 543, 5717, 827, 10770, 1072, 13103, 1851, 7292, 543, 6803, 18441, 269, 634, 5072, 540, 519, 16033, 730, 3923, 4266, 1394, 547, 476, 4489, 276, 543, 5718, 689, 3220, 269, 3883, 518, 570, 269, 6115, 269, 3683, 519, 2250, 476, 1911, 1296, 972, 723, 1044, 19325, 971, 607, 519, 5305, 540, 519, 7797, 540, 519, 14199, 779, 17130, 10414, 593, 4563, 543, 19724, 640, 2657, 676, 519, 772, 2529, 269, 4972, 540, 2657, 543, 5274, 7896, 538, 476, 2735, 276, 269, 901, 19506, 5216, 31891, 1867, 267, 2968, 1634, 607, 519, 834, 3891, 1188, 2401, 7797, 257, 1310, 1287, 670, 9391, 14199, 20152, 1261, 1188, 2401, 269, 634, 17130, 10414, 3989, 18441, 607, 2349, 2931, 267, 3571, 3966, 923, 267, 7111, 4892, 543, 7489, 18025, 6680, 6816, 619, 267, 543, 6976, 1880, 3007, 547, 519, 2362, 2669, 3928, 540, 2349, 2931, 543, 824, 18441, 538, 6476, 547, 1733, 2572, 269, 634, 3178, 543, 4560, 540, 891, 5359, 4330, 538, 1469, 543, 607, 2760, 1354, 267, 519, 21376, 1072, 543, 1072, 1416, 1995, 540, 7292, 543, 6803, 18441, 538, 519, 2136, 2276, 563, 9336, 5130, 649, 29428, 2817, 26913, 543, 5274, 3004, 16751, 10644, 13600, 543, 8661, 519, 16683, 540, 519, 15357, 618, 540, 519, 661, 2006, 322, 11692, 1160, 17474, 269, 589, 30814, 1160, 17474, 568, 9783, 547, 5000, 2962, 538, 519, 2136, 2276, 269, 7831, 1032, 513, 8549, 21864, 11059, 4643, 593, 7896, 547, 7861, 15501, 540, 5274, 3004, 16751, 538, 519, 2136, 2276, 729, 5950, 269, 901, 2947, 4458, 1544, 7125, 585, 11558, 267, 5698, 267, 543, 4390, 540, 6408, 2533, 2066, 2229, 543, 609, 1875, 1790, 3016, 4891, 269, 2290, 540, 519, 1544, 779, 4295, 2418, 568, 519, 6209, 6278, 540, 15000, 538, 1982, 1646, 267, 6388, 543, 6268, 563, 17746, 1192, 532, 543, 24367, 519, 15167, 454, 299, 9722, 12102, 1072, 543, 1480, 19338, 6238, 609, 606, 9237, 6643, 827, 519, 1514, 21876, 540, 1072, 602, 1764, 7925, 5095, 543, 6408, 22097, 563, 12892, 21876, 540, 1072, 616, 519, 6381, 538, 799, 1004, 616, 4535, 267, 1332, 909, 267, 2661, 543, 960, 269, 23207, 569, 649, 616, 13156, 1480, 19338, 607, 513, 1857, 1072, 1966, 267, 711, 1175, 513, 1876, 11268, 835, 267, 799, 10741, 519, 7450, 585, 606, 5385, 540, 2093, 543, 1655, 2853, 689, 519, 12102, 1072, 2361, 269, 634, 1514, 21876, 540, 1072, 616, 519, 24561, 5160, 602, 12622, 519, 3584, 563, 2304, 896, 26061, 1249, 568, 602, 519, 5318, 5354, 540, 9601, 538, 519, 2136, 2276, 616, 1004, 540, 2681, 269, 4340, 547, 513, 476, 1001, 274, 4972, 540, 10456, 1867, 540, 9672, 3023, 19338, 9601, 4171, 5198, 729, 1634, 267, 476, 2412, 2600, 941, 4563, 267, 476, 2918, 2600, 941, 6519, 267, 476, 2537, 2600, 941, 17104, 267, 476, 275, 2600, 941, 7489, 267, 543, 476, 277, 2600, 941, 824, 269, 19452, 540, 9672, 4074, 19338, 9601, 267, 476, 6321, 2600, 941, 17104, 267, 476, 1240, 2600, 941, 824, 267, 476, 1428, 2600, 941, 7489, 267, 476, 1015, 2600, 941, 4563, 267, 543, 476, 273, 2600, 941, 6519, 269, 31158, 1194, 3101, 891, 22097, 543, 2157, 540, 13438, 1281, 711, 24390, 938, 1620, 602, 9601, 2097, 689, 782, 15211, 540, 1272, 267, 621, 8325, 839, 938, 7104, 2702, 547, 581, 26374, 563, 2026, 811, 12102, 7674, 3906, 543, 9945, 1451, 827, 1480, 19338, 789, 616, 4742, 13730, 267, 7722, 543, 4712, 4891, 269, 1280, 1383, 267, 25214, 4563, 30793, 2471, 29550, 971, 607, 1975, 601, 2006, 5441, 543, 20999, 2160, 723, 23032, 19014, 799, 3177, 513, 3760, 585, 519, 9525, 540, 15000, 543, 519, 6626, 2146, 269, 634, 10029, 585, 7111, 4892, 568, 4058, 2081, 547, 4497, 17174, 6107, 543, 17650, 531, 30793, 2471, 543, 29550, 563, 296, 2899, 4862, 2576, 2161, 267, 968, 1492, 2104, 568, 513, 2898, 2603, 540, 1018, 649, 798, 1318, 1631, 1193, 2426, 1927, 1848, 9406, 1631, 1934, 616, 930, 3527, 649, 666, 798, 563, 30399, 267, 1514, 1689, 3646, 1451, 2994, 543, 1655, 2853, 689, 1142, 824, 269, 2334, 568, 875, 3356, 4523, 269, 634, 16107, 540, 6791, 1063, 12102, 1072, 543, 1480, 19338, 568, 606, 2856, 4171, 942, 814, 2097, 269, 634, 4102, 1072, 13103, 602, 2291, 616, 1063, 1346, 945, 616, 1863, 543, 1346, 945, 616, 10437, 269, 11554, 1927, 649, 666, 2490, 6125, 720, 883, 5191, 543, 7092, 883, 11808, 269, 0, 2750, 18075, 1215, 3509, 2405, 338, 286, 589, 29237, 781, 7126, 1299, 654, 3994, 338, 454, 3528, 23718, 32684, 267, 6789, 305, 301, 16065, 27752, 454, 1692, 1082, 2924, 1281, 621, 2731, 1491, 547, 1832, 689, 1818, 513, 4636, 286, 6884, 707, 6646, 7245, 5773, 666, 1745, 513, 3787, 899, 4881, 513, 28618, 269, 1411, 1589, 519, 1843, 540, 519, 3014, 568, 547, 1205, 998, 607, 3533, 607, 2009, 543, 1745, 1978, 596, 666, 1294, 519, 1259, 856, 1175, 6619, 269, 634, 1966, 568, 267, 544, 30769, 616, 16602, 269, 2290, 4636, 2490, 666, 1689, 513, 3339, 6521, 883, 513, 3781, 332, 732, 540, 4539, 563, 1103, 5168, 267, 519, 1152, 2922, 543, 2500, 1259, 547, 1205, 998, 513, 28618, 568, 547, 2322, 707, 1688, 593, 519, 3774, 543, 1832, 621, 972, 1247, 596, 1246, 519, 7140, 267, 1100, 2339, 1018, 269, 10426, 532, 6527, 568, 1454, 519, 1482, 267, 952, 596, 6529, 547, 707, 15963, 267, 20549, 547, 1491, 2110, 11912, 543, 1246, 782, 519, 2924, 596, 666, 267, 519, 7140, 786, 1291, 596, 543, 707, 2550, 547, 513, 2922, 10678, 563, 1432, 616, 891, 2924, 543, 875, 798, 789, 1860, 519, 2298, 540, 8808, 1416, 596, 2811, 4758, 707, 3461, 286, 1703, 616, 1082, 8747, 2139, 269, 1280, 713, 4901, 649, 3513, 3802, 998, 5216, 2924, 607, 789, 1131, 2049, 1282, 519, 7245, 1184, 563, 272, 269, 9406, 2601, 281, 1403, 519, 2025, 812, 538, 476, 2190, 289, 568, 586, 2454, 543, 621, 781, 1079, 522, 262, 22018, 538, 519, 6640, 267, 1018, 616, 707, 3681, 888, 288, 269, 19171, 1010, 7450, 543, 27642, 596, 666, 1405, 5873, 1864, 563, 289, 269, 12532, 1472, 609, 707, 588, 996, 24005, 538, 707, 10772, 865, 596, 2731, 666, 1405, 5873, 1864, 563, 290, 269, 12315, 1864, 632, 1067, 565, 543, 4307, 1120, 534, 547, 2322, 1864, 547, 3207, 563, 291, 269, 1975, 754, 930, 942, 609, 1864, 3843, 547, 9350, 1010, 4160, 563, 2467, 616, 782, 5686, 540, 4128, 585, 3053, 908, 2576, 269, 2368, 540, 873, 616, 3617, 267, 930, 616, 711, 269, 6969, 596, 2479, 3914, 519, 6646, 7047, 1118, 2386, 596, 917, 1946, 596, 616, 4758, 513, 6646, 543, 602, 519, 3075, 814, 1044, 9516, 585, 602, 946, 563, 273, 269, 9406, 942, 281, 1684, 596, 917, 707, 9872, 781, 3609, 593, 875, 2038, 610, 3735, 16516, 6527, 666, 581, 2016, 286, 1548, 827, 929, 333, 6527, 286, 3657, 596, 1369, 891, 6724, 609, 519, 6646, 596, 616, 827, 547, 2285, 286, 5620, 596, 25295, 519, 4908, 610, 5021, 18262, 9993, 888, 274, 269, 9406, 3075, 281, 4762, 3305, 707, 9753, 267, 6166, 707, 1098, 8282, 19182, 2026, 267, 6166, 519, 6646, 538, 707, 1688, 609, 519, 2854, 12319, 269, 1772, 519, 10189, 16856, 543, 1354, 922, 1163, 19418, 4266, 286, 6496, 621, 1413, 519, 1259, 621, 781, 9277, 547, 1413, 286, 1772, 713, 3075, 3617, 585, 707, 3461, 11959, 543, 2168, 1134, 5630, 286, 6496, 519, 1973, 17511, 6474, 543, 723, 596, 9672, 713, 609, 1776, 12016, 888, 275, 269, 9406, 9570, 281, 11088, 268, 4762, 3305, 707, 9753, 267, 6166, 707, 19182, 2026, 267, 6166, 602, 519, 6646, 538, 707, 1688, 13292, 519, 18262, 593, 707, 12319, 269, 1403, 621, 3085, 1405, 267, 568, 972, 513, 811, 3617, 4781, 286, 6726, 725, 666, 2014, 6959, 543, 1058, 581, 31965, 8164, 2009, 269, 6744, 3054, 7466, 543, 1450, 1866, 547, 2638, 596, 1586, 269, 1772, 519, 2179, 540, 6646, 596, 2811, 827, 547, 2285, 609, 538, 10257, 6724, 585, 602, 3075, 781, 13121, 1645, 888, 276, 269, 9406, 3461, 281, 6744, 519, 2012, 593, 707, 27107, 269, 6744, 519, 2012, 593, 707, 6646, 269, 6744, 891, 1996, 1142, 824, 269, 2961, 787, 519, 27107, 883, 519, 4055, 267, 2638, 519, 2012, 6512, 543, 8231, 958, 2307, 519, 3461, 741, 2012, 269, 4762, 3305, 713, 1344, 609, 707, 27107, 269, 1403, 707, 3461, 568, 8572, 547, 2697, 2933, 267, 13182, 741, 8446, 609, 513, 1920, 4759, 610, 2034, 12016, 563, 277, 269, 9406, 8905, 281, 1215, 568, 713, 1880, 6646, 9277, 547, 4283, 519, 1560, 286, 1772, 519, 1106, 596, 723, 538, 707, 1688, 2111, 547, 1246, 602, 8905, 286, 1403, 538, 8969, 267, 6166, 24948, 6127, 1354, 28720, 6527, 602, 1058, 581, 15179, 539, 269, 1548, 2186, 540, 5114, 942, 666, 596, 2503, 689, 713, 7245, 8905, 286, 11408, 6166, 10001, 1569, 543, 3261, 520, 8864, 540, 519, 16788, 543, 3515, 1373, 1031, 585, 10001, 7245, 563, 278, 269, 9406, 1505, 281, 1548, 2027, 15416, 616, 1572, 585, 286, 6496, 519, 3461, 991, 547, 2611, 20005, 286, 9701, 713, 6646, 581, 16760, 286, 1215, 3728, 1058, 713, 10001, 6646, 581, 14593, 286, 1684, 824, 4218, 5928, 991, 547, 581, 4371, 1282, 713, 6646, 286, 6496, 707, 3461, 1174, 1018, 6646, 646, 568, 8391, 543, 1946, 286, 6496, 646, 3858, 547, 519, 2126, 888, 279, 269, 9406, 12319, 281, 634, 1034, 3617, 942, 547, 5750, 513, 6646, 568, 950, 621, 568, 2016, 269, 5620, 596, 7150, 4010, 1018, 596, 5795, 267, 950, 267, 875, 543, 1141, 952, 3617, 286, 9894, 596, 4063, 1022, 6381, 602, 3366, 596, 547, 1683, 6646, 971, 607, 1164, 1973, 4006, 2542, 610, 20286, 540, 1928, 286, 9894, 596, 1246, 909, 609, 707, 3461, 1310, 621, 729, 4218, 3603, 543, 3561, 519, 4093, 286, 9894, 596, 1129, 707, 2012, 888, 2005, 949, 3100, 899, 513, 1360, 524, 13246, 727, 1305, 540, 9021, 267, 855, 952, 596, 2811, 8348, 547, 1118, 607, 1082, 1318, 11804, 7140, 607, 621, 3217, 519, 1576, 786, 2760, 1291, 596, 4636, 269, 2659, 2550, 543, 707, 4708, 540, 2247, 786, 9684, 596, 585, 621, 950, 596, 1265, 3054, 9108, 693, 519, 824, 1439, 540, 519, 6646, 28618, 563, 9209, 2873, 538, 713, 3390, 912, 32306, 513, 19410, 454, 8923, 1832, 538, 2247, 602, 782, 8292, 616, 15645, 730, 269, 7490, 798, 711, 946, 513, 28417, 20438, 610, 513, 6389, 607, 707, 2012, 267, 610, 3116, 621, 786, 581, 25216, 269, 2913, 781, 723, 513, 2123, 543, 6209, 6643, 3079, 269, 8729, 585, 707, 8292, 2336, 1103, 901, 17136, 454, 299, 714, 4144, 12672, 16037, 0, 2026, 2029, 3587, 24819, 267, 621, 849, 30283, 519, 991, 585, 1978, 1983, 269, 1772, 602, 1434, 610, 3983, 888, 974, 9592, 2306, 721, 1312, 546, 3784, 543, 21273, 269, 769, 938, 6639, 2085, 267, 649, 946, 6191, 547, 798, 1082, 1919, 649, 1031, 547, 798, 585, 6000, 267, 865, 621, 12582, 1406, 581, 9670, 602, 649, 2461, 3478, 8338, 693, 7900, 1978, 4247, 269, 1284, 723, 1044, 22041, 676, 4720, 547, 18359, 938, 3908, 19206, 676, 15268, 547, 938, 1604, 563, 288, 1360, 2219, 1008, 3183, 2376, 563, 268, 1548, 616, 519, 1983, 540, 519, 1007, 2085, 888, 268, 1548, 568, 519, 4569, 540, 4804, 888, 268, 1215, 1454, 2362, 1931, 666, 649, 1205, 538, 3206, 888, 268, 1548, 666, 649, 798, 602, 6191, 666, 1406, 798, 888, 268, 1548, 1983, 798, 649, 991, 547, 11883, 609, 1689, 888, 5804, 25014, 3821, 12389, 8725, 269, 5853, 619, 693, 4518, 281, 12267, 540, 3399, 5725, 685, 7216, 17963, 454, 7343, 30068, 838, 12541, 1562, 3914, 741, 5207, 3432, 1318, 856, 540, 519, 7161, 267, 543, 6108, 519, 1964, 540, 519, 5198, 23646, 1524, 269, 634, 23602, 3500, 1524, 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 ]

[ 16313, 625, 602, 616, 1175, 269, 634, 1966, 568, 711, 519, 21257, 282, 621, 779, 519, 28170, 542, 543, 21440, 269, 1717, 267, 538, 519, 1439, 540, 519, 3126, 267, 595, 5407, 267, 7715, 2740, 607, 7599, 15596, 267, 16976, 547, 23271, 519, 21257, 538, 3870, 540, 513, 14081, 563, 1805, 3994, 17052, 723, 513, 6305, 1747, 538, 519, 3126, 269, 9453, 741, 8994, 3972, 543, 2463, 267, 519, 2185, 5869, 1149, 1223, 2760, 723, 24057, 3497, 519, 7599, 15596, 779, 9409, 12512, 269, 634, 6690, 685, 17052, 609, 741, 2379, 806, 267, 543, 1256, 543, 5514, 11608, 267, 1831, 1271, 538, 20547, 519, 6433, 269, 700, 5819, 1399, 267, 15093, 267, 543, 2648, 616, 519, 1483, 2645, 602, 3142, 1524, 519, 9409, 12512, 563, 16446, 18277, 568, 1776, 1271, 14953, 538, 634, 30803, 20048, 322, 3796, 269, 4107, 540, 519, 968, 1440, 514, 806, 892, 616, 538, 991, 540, 25863, 950, 789, 4283, 519, 1650, 269, 16423, 568, 513, 19979, 267, 16220, 9168, 812, 609, 513, 4158, 2250, 269, 774, 11448, 568, 513, 15483, 344, 555, 3971, 269, 10496, 514, 568, 513, 19289, 9856, 609, 5258, 10121, 2906, 269, 634, 3791, 5869, 710, 267, 595, 816, 267, 849, 568, 12735, 4240, 609, 16203, 585, 2324, 585, 519, 16264, 1119, 7949, 585, 1296, 607, 2212, 27732, 269, 3962, 540, 873, 9060, 25863, 998, 15093, 543, 1065, 9653, 676, 519, 1439, 540, 519, 3126, 563, 19284, 1082, 7141, 9089, 267, 634, 30803, 20048, 2873, 616, 5266, 2973, 2949, 269, 3687, 2711, 1835, 817, 1893, 269, 3687, 2711, 19528, 540, 4568, 610, 5061, 269, 20290, 1100, 4638, 1543, 281, 972, 616, 1896, 13730, 21098, 525, 1063, 1292, 3197, 267, 855, 621, 3085, 1406, 979, 20991, 982, 602, 269, 1703, 616, 930, 8429, 19528, 540, 968, 1260, 3966, 687, 1222, 892, 11623, 543, 968, 525, 322, 677, 892, 5323, 1749, 267, 799, 594, 17429, 1027, 1185, 547, 798, 609, 930, 2186, 540, 14382, 3482, 5323, 1749, 269, 1809, 602, 779, 621, 563, 306, 15929, 7168, 1390, 865, 2484, 286, 3367, 593, 585, 519, 711, 865, 7168, 563, 3080, 6161, 594, 1185, 609, 519, 3126, 729, 875, 2725, 9807, 17411, 519, 4414, 681, 4575, 32431, 1427, 2454, 538, 1433, 1079, 267, 25753, 2280, 269, 25753, 2280, 729, 1390, 281, 535, 30711, 543, 9157, 269, 1809, 2725, 9807, 23297, 547, 6335, 519, 1650, 865, 519, 16423, 3587, 519, 968, 1440, 1550, 1848, 594, 723, 6404, 4606, 827, 713, 269, 2201, 519, 835, 1688, 267, 972, 779, 1390, 25863, 1934, 281, 519, 16423, 1065, 757, 950, 646, 8813, 585, 519, 8004, 543, 22939, 519, 1964, 540, 519, 2835, 3843, 547, 948, 519, 1434, 2427, 269, 1809, 593, 519, 824, 1688, 267, 594, 1589, 2725, 9807, 27390, 519, 6891, 540, 519, 3312, 18912, 9661, 676, 4657, 519, 18896, 883, 519, 1434, 18560, 269, 594, 3622, 1810, 1406, 899, 13602, 1141, 513, 5636, 664, 3090, 568, 17814, 607, 513, 1434, 18560, 269, 1656, 538, 18912, 8941, 267, 20384, 616, 519, 3983, 16921, 269, 1809, 1287, 267, 538, 14619, 267, 853, 269, 14731, 1705, 28099, 655, 519, 18896, 540, 717, 889, 321, 1470, 267, 865, 972, 568, 513, 1978, 30675, 547, 28099, 25977, 519, 18896, 563, 9827, 267, 16423, 779, 4719, 4702, 543, 2250, 2866, 607, 513, 18896, 17907, 6770, 930, 824, 2591, 547, 519, 3126, 269, 3571, 18896, 6438, 26756, 1118, 1864, 1360, 8825, 540, 1010, 968, 22940, 892, 25753, 2280, 267, 855, 849, 3142, 5208, 883, 741, 2078, 269, 2311, 835, 1448, 267, 646, 3592, 678, 2354, 1200, 11563, 856, 1247, 896, 519, 2247, 1852, 540, 513, 16264, 5636, 664, 269, 634, 3364, 602, 536, 6139, 1042, 803, 1934, 543, 538, 513, 1906, 824, 16423, 4149, 8364, 2280, 10207, 729, 972, 8604, 547, 581, 513, 2283, 783, 5498, 10745, 2460, 547, 519, 5208, 269, 20290, 513, 645, 9169, 300, 642, 32079, 269, 4427, 1479, 267, 855, 972, 538, 1250, 6644, 563, 763, 5208, 568, 8766, 538, 519, 1101, 1433, 267, 855, 3533, 15155, 1186, 909, 538, 519, 1964, 540, 519, 3126, 269, 1703, 568, 606, 1659, 995, 2112, 267, 609, 930, 5963, 15265, 16220, 22041, 7068, 4881, 993, 3089, 269, 1703, 616, 11673, 540, 1004, 5969, 741, 31462, 1846, 543, 15246, 2933, 896, 16264, 2247, 1852, 269, 16423, 2173, 523, 18009, 856, 1004, 779, 31462, 1846, 269, 31849, 540, 26481, 24515, 269, 15788, 267, 594, 2808, 891, 2835, 513, 2370, 5230, 593, 519, 8642, 5208, 563, 5194, 3693, 538, 519, 4729, 602, 2760, 8604, 547, 581, 18113, 9619, 729, 519, 2247, 1852, 2243, 269, 9650, 1852, 568, 17814, 607, 606, 9409, 2949, 267, 2943, 595, 5407, 267, 519, 5869, 710, 267, 4749, 3096, 621, 547, 2149, 9887, 543, 1866, 269, 2701, 849, 3096, 621, 547, 4339, 267, 543, 3006, 267, 538, 10845, 267, 547, 1208, 559, 5573, 269, 769, 4334, 547, 595, 5407, 267, 25905, 15604, 538, 519, 8772, 1433, 3274, 31439, 547, 946, 2247, 1852, 585, 1022, 2601, 2507, 2394, 538, 519, 1439, 1352, 1281, 2899, 547, 4688, 1200, 2648, 269, 634, 2243, 568, 281, 952, 2247, 1852, 568, 9409, 267, 568, 621, 6132, 527, 585, 595, 5407, 543, 15604, 547, 946, 621, 547, 2149, 1866, 286, 5651, 958, 6340, 267, 952, 2247, 1852, 568, 20244, 606, 9409, 957, 267, 1210, 621, 585, 513, 1434, 1439, 1869, 2306, 519, 957, 9409, 269, 5253, 585, 2219, 563, 3080, 3803, 2942, 609, 634, 30803, 20048, 2873, 568, 602, 789, 2461, 3274, 711, 782, 602, 1134, 27787, 269, 8786, 267, 621, 779, 513, 3728, 19550, 267, 3078, 4729, 609, 6266, 540, 2962, 543, 5188, 269, 1809, 972, 568, 2370, 547, 1100, 10855, 1893, 547, 17145, 856, 519, 1650, 269, 1452, 2835, 1224, 899, 1018, 789, 616, 281, 6093, 476, 2641, 560, 2540, 962, 288, 5708, 563, 14454, 267, 634, 30803, 20048, 2873, 616, 513, 17680, 6137, 267, 9425, 2973, 3126, 609, 6266, 540, 2962, 267, 11509, 8082, 267, 543, 513, 1390, 605, 3734, 6249, 269, 1809, 593, 519, 824, 1688, 267, 789, 2461, 711, 3226, 1134, 2854, 267, 711, 1390, 3332, 267, 543, 723, 930, 7282, 2609, 899, 519, 10539, 827, 2247, 1852, 267, 2283, 783, 5208, 693, 2053, 267, 543, 2949, 8642, 5208, 269, 29247, 2542, 286, 9320, 952, 596, 723, 606, 4587, 7141, 945, 2731, 21593, 2257, 5708, 543, 6499, 547, 946, 873, 585, 513, 1433, 1867, 547, 5490, 883, 930, 540, 519, 11786, 3584, 269, 19227, 267, 594, 8910, 2285, 873, 513, 1780, 563, 2252, 789, 10093, 1406, 2943, 267, 3494, 803, 267, 789, 786, 256, 4208, 1281, 513, 15962, 2696, 1450, 721, 547, 7985, 286, 901, 568, 513, 2243, 602, 814, 1044, 7368, 543, 11432, 1229, 2429, 519, 6502, 269, 769, 634, 23268, 5808, 12984, 2279, 12295, 547, 581, 1773, 5896, 20900, 1546, 17556, 325, 8457, 3217, 593, 519, 2243, 540, 7092, 609, 513, 2241, 1650, 602, 1256, 1762, 1453, 786, 581, 2111, 547, 1174, 269, 1546, 17556, 325, 8457, 16900, 649, 2314, 1927, 1896, 6426, 18627, 883, 513, 1612, 762, 827, 513, 31604, 6079, 7247, 513, 8797, 32529, 1202, 1235, 593, 9544, 269, 1773, 5896, 538, 513, 4158, 8559, 267, 519, 17512, 1881, 6079, 7959, 14460, 543, 4805, 269, 1809, 1287, 519, 6263, 6079, 5956, 547, 1332, 883, 513, 15999, 3529, 799, 2337, 1866, 543, 2833, 513, 5898, 543, 5191, 621, 1185, 2760, 26927, 3139, 2009, 563, 1607, 1433, 568, 865, 5363, 538, 7713, 7092, 547, 1453, 563, 12024, 519, 6079, 267, 649, 1745, 585, 338, 2586, 543, 12922, 950, 2696, 2636, 721, 547, 1995, 7092, 267, 2669, 267, 2530, 267, 543, 1928, 269, 6145, 519, 6079, 267, 649, 1810, 1406, 1616, 547, 979, 1524, 547, 602, 4158, 1747, 543, 1745, 14460, 269, 769, 713, 1612, 762, 540, 513, 9661, 267, 649, 616, 18056, 602, 2696, 1152, 2636, 721, 547, 7985, 547, 3142, 721, 547, 513, 811, 4190, 267, 8748, 1747, 982, 649, 1223, 4952, 269, 6787, 649, 1294, 519, 4829, 540, 6972, 998, 14334, 538, 713, 1272, 267, 610, 1810, 1406, 917, 519, 1946, 2394, 13140, 267, 713, 1650, 19595, 721, 649, 666, 3972, 602, 2696, 814, 513, 3501, 1544, 547, 3142, 721, 547, 3020, 5191, 543, 4708, 563, 763, 23268, 5808, 12984, 2279, 12295, 1677, 2142, 1773, 5896, 666, 849, 581, 5363, 538, 7713, 2669, 563, 1607, 1158, 568, 782, 649, 917, 267, 865, 6028, 621, 666, 581, 513, 17559, 2219, 269, 6145, 519, 6079, 267, 649, 899, 938, 2721, 518, 267, 938, 2370, 4216, 540, 1634, 1995, 269, 6145, 519, 6079, 267, 930, 3214, 1265, 519, 2856, 540, 1373, 12617, 513, 32049, 2219, 269, 901, 1650, 2337, 8897, 1346, 12194, 609, 519, 12576, 602, 12955, 568, 1175, 519, 4098, 540, 513, 1007, 267, 1732, 1272, 267, 3564, 938, 3552, 652, 9909, 540, 5898, 543, 5191, 563, 1432, 568, 5191, 888, 763, 6079, 6645, 519, 32529, 711, 547, 2030, 1864, 281, 968, 296, 6557, 18901, 547, 581, 12630, 267, 594, 1616, 547, 581, 1863, 1848, 1280, 519, 6079, 267, 5191, 568, 1373, 4847, 547, 798, 1018, 646, 6499, 281, 3251, 538, 1010, 2721, 518, 269, 1809, 676, 519, 1439, 540, 519, 1433, 267, 519, 6079, 30877, 3020, 5191, 568, 1336, 676, 1739, 2696, 779, 630, 1492, 32529, 779, 264, 1544, 543, 3850, 5128, 547, 5884, 865, 646, 949, 2661, 269, 769, 519, 1439, 540, 519, 1650, 267, 519, 6079, 267, 1631, 513, 3529, 267, 814, 1336, 4708, 267, 5191, 267, 543, 513, 1272, 1510, 4250, 563, 763, 2898, 1920, 786, 2972, 634, 23268, 5808, 12984, 2279, 12295, 1677, 2142, 1773, 5896, 563, 7212, 713, 1650, 568, 2854, 585, 7820, 1453, 267, 519, 1164, 2298, 12383, 543, 15851, 1612, 762, 6438, 1650, 786, 1118, 621, 513, 5172, 609, 782, 6502, 269, 3776, 3003, 1920, 10150, 713, 1433, 609, 922, 12576, 602, 2696, 2141, 814, 513, 3501, 1544, 585, 721, 269, 4014, 1082, 824, 1390, 2835, 593, 7092, 723, 1044, 2854, 13389, 4079, 267, 713, 2241, 1650, 568, 3501, 585, 7713, 547, 1453, 1946, 2696, 2636, 7092, 563, 1607, 2022, 3568, 24988, 6402, 269, 6423, 3723, 518, 585, 2407, 23930, 563, 763, 13957, 532, 1446, 676, 26701, 514, 670, 20087, 568, 513, 5963, 8903, 3140, 5708, 3209, 281, 11121, 267, 1208, 17331, 267, 2219, 4538, 267, 543, 14042, 538, 2490, 269, 634, 1650, 5205, 1079, 3943, 19946, 267, 966, 1014, 928, 543, 1772, 8475, 548, 267, 689, 519, 942, 519, 1101, 678, 3518, 956, 540, 2622, 2782, 4083, 2253, 547, 1860, 5333, 547, 5612, 1310, 519, 1439, 540, 519, 2112, 269, 1635, 2519, 593, 891, 1079, 19946, 685, 1360, 1114, 855, 8449, 2352, 10092, 998, 519, 2112, 267, 634, 13957, 532, 1446, 7319, 12923, 538, 1379, 2685, 23187, 519, 4641, 540, 519, 16897, 267, 519, 9588, 540, 519, 9271, 267, 519, 19039, 20739, 9535, 540, 2729, 538, 2622, 2782, 4083, 269, 901, 1433, 1281, 711, 22302, 519, 5467, 689, 519, 1659, 995, 17909, 602, 812, 666, 16173, 547, 269, 8616, 519, 1244, 9545, 885, 812, 29377, 616, 855, 513, 23240, 547, 519, 15627, 540, 5869, 1143, 547, 799, 4948, 1004, 666, 4473, 269, 634, 13957, 532, 1446, 3091, 6667, 543, 4126, 609, 922, 4798, 827, 796, 19874, 762, 2648, 267, 24123, 15093, 267, 543, 519, 27803, 540, 1453, 563, 763, 13957, 532, 1446, 568, 606, 14751, 566, 540, 519, 1379, 540, 782, 519, 3029, 540, 2648, 547, 7639, 543, 8853, 538, 519, 10782, 2175, 16697, 762, 563, 763, 7554, 540, 11505, 616, 513, 14984, 3196, 269, 769, 1200, 1507, 3943, 554, 32528, 267, 966, 1014, 928, 543, 1200, 1655, 3659, 24981, 5000, 543, 948, 835, 1776, 547, 1832, 5885, 741, 3885, 267, 2436, 602, 568, 609, 1913, 610, 676, 4687, 519, 2063, 2849, 17632, 540, 1426, 269, 1879, 6014, 24981, 568, 3144, 2476, 547, 513, 5834, 3786, 267, 966, 1014, 928, 4220, 1200, 1378, 1272, 547, 4688, 24981, 779, 5067, 563, 763, 2648, 1063, 19946, 849, 3470, 1161, 519, 16897, 540, 2112, 269, 966, 1014, 928, 543, 1772, 8475, 548, 1185, 513, 31341, 6681, 2078, 3395, 909, 267, 855, 1282, 519, 2112, 1142, 1193, 1161, 547, 2149, 519, 824, 607, 1655, 789, 666, 269, 966, 1014, 928, 6285, 513, 4436, 17199, 547, 4688, 1772, 8475, 548, 269, 1772, 8475, 548, 9883, 9887, 689, 1200, 11078, 779, 1920, 547, 2149, 873, 689, 519, 29854, 540, 1200, 11895, 960, 269, 2311, 519, 1439, 540, 519, 2112, 267, 966, 1014, 928, 19707, 24091, 585, 1200, 4503, 11078, 543, 6770, 1200, 1753, 563, 763, 13957, 532, 1446, 20186, 519, 2648, 1063, 3237, 543, 1453, 607, 3226 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 1691, 281, 18227, 2659, 7731, 15822, 693, 5851, 692, 5331, 4947, 1753, 1310, 513, 1279, 1554, 693, 1153, 267, 9599, 547, 2995, 707, 1920, 782, 827, 621, 269, 1809, 950, 596, 1930, 519, 4395, 7450, 267, 1945, 3085, 1405, 1745, 1318, 269, 9320, 972, 781, 7745, 4837, 593, 519, 6989, 267, 610, 6148, 930, 540, 707, 28378, 616, 856, 540, 1747, 269, 1411, 3533, 8275, 602, 2576, 814, 1044, 3330, 707, 2777, 1247, 596, 941, 2476, 256, 901, 17559, 3510, 666, 4755, 9170, 267, 799, 568, 1946, 621, 781, 1898, 547, 1451, 875, 547, 1832, 707, 1920, 2922, 693, 1753, 780, 1103, 713, 3184, 267, 649, 786, 1865, 1896, 2081, 547, 2327, 707, 1753, 3788, 5150, 543, 6870, 1996, 13311, 8436, 269, 1284, 786, 2911, 827, 1114, 2010, 540, 3106, 3800, 267, 971, 607, 25437, 267, 32302, 267, 543, 19141, 267, 543, 2491, 875, 789, 960, 1927, 547, 1711, 513, 2922, 1604, 585, 596, 543, 707, 6068, 3283, 269, 1635, 1620, 891, 2035, 267, 596, 666, 1491, 5279, 540, 707, 1753, 3354, 543, 948, 2061, 13943, 3871, 899, 519, 835, 4330, 4505, 780, 4131, 781, 1376, 609, 519, 9238, 281, 9885, 543, 9486, 269, 1452, 616, 1079, 1455, 7127, 2798, 883, 1022, 1753, 267, 1818, 873, 4998, 9072, 585, 11371, 644, 619, 269, 1677, 5150, 707, 9885, 267, 2015, 16459, 4666, 2513, 1206, 610, 5100, 25437, 602, 2154, 2189, 9479, 610, 9416, 21646, 547, 12260, 269, 3958, 267, 1210, 1164, 7779, 6885, 4234, 2583, 543, 8596, 666, 10332, 596, 952, 4896, 13290, 547, 3196, 2685, 4283, 998, 513, 6885, 780, 5194, 4494, 540, 4027, 2501, 538, 519, 1106, 540, 1753, 3354, 1949, 269, 1452, 3457, 946, 5163, 22572, 267, 12514, 267, 543, 521, 790, 985, 547, 6895, 2534, 1472, 707, 3959, 269, 1403, 4376, 8966, 4386, 267, 519, 1062, 15920, 606, 10332, 547, 596, 543, 3006, 1256, 2199, 8128, 269, 2368, 2413, 3354, 1949, 849, 2709, 6552, 1569, 3842, 16389, 267, 3850, 596, 547, 2638, 909, 593, 707, 1753, 1100, 2339, 1141, 596, 616, 780, 3086, 1577, 781, 2263, 3859, 1648, 19141, 1107, 513, 1447, 6671, 2943, 2500, 1259, 547, 3986, 1753, 3106, 269, 9891, 1648, 19141, 1445, 7943, 5196, 1808, 9634, 267, 10451, 3002, 7920, 2614, 547, 15658, 1761, 11371, 644, 619, 269, 1879, 8704, 2282, 7925, 2127, 630, 7945, 607, 18147, 19235, 1070, 891, 19141, 4196, 607, 3308, 543, 8143, 7496, 267, 4180, 707, 7834, 543, 4708, 540, 2247, 780, 15563, 267, 2792, 4249, 513, 2629, 1909, 538, 4509, 513, 2922, 7622, 269, 5269, 2386, 1169, 4759, 540, 707, 1920, 6487, 6595, 6049, 2338, 267, 17358, 2596, 1101, 5351, 5773, 267, 543, 568, 5432, 609, 27549, 4566, 1282, 11642, 610, 2067, 12469, 269, 17115, 7234, 891, 3584, 5849, 3025, 13978, 5423, 543, 8746, 538, 7829, 6397, 3871, 780, 3528, 6220, 1585, 3106, 3800, 2429, 707, 1753, 267, 596, 1711, 513, 8825, 13104, 602, 8952, 707, 1920, 2922, 689, 2800, 269, 2755, 4986, 666, 10018, 6207, 1045, 4532, 2225, 267, 2921, 14942, 3268, 2509, 17516, 707, 2713, 2230, 4422, 513, 1279, 1259, 538, 7303, 25031, 2621, 543, 3246, 4313, 585, 1296, 547, 2097, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 12606, 12833, 5235, 966, 517, 2480, 23705, 1470, 269, 476, 4343, 269, 4936, 14216, 590, 15676, 966, 517, 667, 2001, 3465, 20799, 454, 32575, 547, 713, 4647, 267, 3206, 2409, 18542, 602, 741, 11103, 16363, 6616, 1875, 1673, 652, 10614, 11000, 3464, 267, 8033, 5224, 1022, 3486, 4507, 827, 1880, 3173, 269, 570, 1014, 534, 5443, 814, 1419, 16761, 607, 513, 5347, 6609, 540, 713, 1544, 540, 8744, 263, 667, 3518, 2795, 476, 1960, 273, 282, 4787, 573, 3467, 543, 27176, 476, 1960, 278, 281, 476, 276, 1704, 1040, 634, 2025, 4775, 540, 1239, 267, 9136, 24936, 1682, 267, 543, 1747, 2152, 676, 2864, 1152, 519, 2475, 855, 12691, 543, 8101, 1775, 20486, 2417, 4834, 1378, 2924, 263, 16410, 652, 534, 476, 1001, 271, 1040, 898, 11566, 569, 941, 602, 4647, 12833, 5235, 13153, 2480, 23705, 1470, 269, 476, 4343, 269, 4936, 3541, 590, 15676, 13153, 538, 519, 2475, 2386, 1148, 1185, 8720, 1628, 5346, 543, 6035, 547, 2347, 519, 11569, 17319, 2475, 16644, 2088, 2298, 263, 17664, 476, 1220, 271, 1040, 1373, 1018, 14621, 540, 8863, 2752, 3008, 6410, 17923, 269, 1271, 8185, 513, 865, 1514, 3170, 1145, 269, 9891, 6052, 19257, 5558, 2382, 6817, 744, 985, 924, 256, 5968, 2353, 20885, 15356, 5240, 286, 1306, 513, 4396, 8281, 267, 634, 20885, 12524, 568, 593, 11476, 689, 11766, 906, 267, 1004, 267, 543, 862, 340, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 13493, 1315, 2657, 1299, 11545, 12389, 1315, 8881, 1315, 5851, 8881, 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, 20821, 8061, 754, 571, 623, 12991, 269, 623, 2784, 7315, 267, 513, 1360, 3811, 15818, 945, 814, 1500, 513, 2012, 585, 5128, 1312, 538, 1010, 1753, 2197, 540, 18310, 543, 1472, 519, 1158, 256, 2060, 936, 476, 2767, 1296, 540, 1995, 896, 1010, 12966, 267, 646, 781, 1831, 606, 4274, 538, 1082, 1114, 2127, 540, 519, 3656, 2361, 780, 3080, 3364, 602, 2306, 8061, 754, 571, 1796, 856, 568, 602, 646, 781, 1044, 11280, 607, 513, 834, 25938, 1640, 5917, 11229, 257, 676, 519, 10966, 7040, 540, 18310, 269, 901, 568, 513, 2027, 8956, 2016, 1152, 547, 1346, 945, 723, 3254, 11108, 5578, 543, 11428, 538, 741, 960, 607, 17864, 269, 898, 1797, 602, 950, 621, 2501, 547, 1620, 543, 16208, 519, 4031, 540, 18310, 267, 972, 616, 1906, 1004, 1732, 11727, 982, 8061, 754, 571, 780, 3719, 8061, 754, 571, 18387, 1405, 3908, 5128, 547, 1175, 835, 2197, 269, 1261, 781, 849, 1831, 513, 13931, 18607, 538, 1896, 2829, 538, 519, 2136, 2276, 267, 1519, 1715, 3840, 543, 519, 10588, 540, 21896, 269, 3502, 1152, 602, 267, 855, 646, 781, 1256, 11130, 2665, 1354, 519, 10966, 7040, 540, 519, 2136, 2276, 1107, 519, 5207, 5480, 538, 519, 2244, 256, 2334, 781, 1100, 1507, 9028, 267, 543, 621, 2982, 1175, 875, 6131, 8061, 754, 571, 568, 547, 1010, 4739, 780, 3383, 1018, 4010, 1281, 513, 15818, 899, 8061, 754, 571, 798, 286, 4270, 267, 835, 1858, 646, 24870, 538, 568, 1572, 834, 1260, 14293, 1876, 2668, 901, 3322, 4543, 4213, 6330, 782, 12204, 540, 3656, 2152, 267, 689, 26004, 11731, 547, 20547, 13882, 269, 1280, 1383, 267, 1577, 781, 2161, 596, 4941, 547, 1376, 707, 1378, 21097, 1796, 630, 320, 1390, 2856, 267, 676, 519, 1259, 32656, 1306, 513, 1870, 8227, 267, 972, 1131, 581, 6266, 540, 3652, 543, 6042, 596, 9364, 991, 547, 1246, 547, 1118, 2386, 3388, 729, 593, 519, 909, 7146, 5346, 269, 589, 5010, 15818, 899, 8061, 754, 571, 1223, 948, 596, 1174, 782, 1346, 3652, 543, 1118, 2386, 596, 941, 1739, 873, 7157, 780, 5194, 1858, 1141, 8061, 754, 571, 608, 26118, 568, 834, 514, 1181, 1049, 1876, 2580, 799, 9388, 609, 3656, 2152, 602, 3444, 10665, 1063, 2477, 269, 6056, 827, 1945, 899, 9140, 513, 11442, 2228, 689, 1776, 2197, 269, 1703, 666, 581, 782, 5686, 540, 7294, 3652, 543, 6042, 3238, 538, 1818, 2386, 602, 11834, 4422, 12347, 267, 2523, 952, 1945, 4422, 4636, 269, 1323, 3486, 15818, 899, 8061, 754, 571, 1223, 948, 4990, 998, 782, 602, 3190, 543, 1118, 2386, 3025, 7475, 909, 6126, 780, 1432, 781, 2731, 3579, 827, 8061, 754, 571, 568, 602, 646, 781, 1044, 6444, 676, 6266, 540, 1114, 3906, 585, 1373, 971, 513, 16805, 15818, 269, 20492, 899, 16422, 1499, 6820, 267, 16422, 1499, 5607, 267, 5808, 781, 5808, 13751, 267, 543, 1866, 723, 782, 2206, 1194, 1864, 856, 607, 835, 540, 519, 1655, 538, 519, 1870, 269, 1358, 4312, 4481, 7074, 1010, 6791, 538, 4610, 899, 18229, 267, 12388, 619, 543, 4203, 29792, 630, 300, 26031, 1070, 1788, 14104, 267, 543, 30931, 269, 1452, 616, 782, 7168, 1950, 3584, 267, 855, 10416, 789, 4125, 1919, 899, 27410, 20987, 682, 1162, 267, 4543, 3549, 4444, 543, 6133, 824, 4213, 267, 17516, 7616, 585, 2462, 3785, 267, 543, 7863, 6216, 4408, 543, 27291, 865, 789, 1810, 1405, 1205, 23652, 24648, 958, 780, 3086, 267, 930, 540, 891, 2035, 1522, 1869, 3280, 513, 3787, 16602, 267, 543, 602, 781, 15502, 256, 4521, 666, 581, 513, 9157, 1641, 547, 16833, 707, 2212, 1472, 3006, 269, 1809, 23248, 713, 3947, 596, 513, 2631, 540, 1175, 875, 11141, 8061, 754, 571, 781, 4876, 814, 1044, 267, 543, 6148, 1256, 26182, 596, 547, 1451, 811, 827, 519, 1876, 3054, 14693, 269, 2991, 782, 267, 945, 6487, 1107, 6148, 596, 3513, 1332, 909, 547, 581, 513, 18947, 5917, 11229, 1932, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 28319, 754, 571, 623, 12991, 269, 623, 2784, 7315, 454, 303, 3789, 281, 19737, 31313, 13478, 523, 1640, 5917, 11229, 454, 307, 281, 1341, 280, 6507, 476, 272, 476, 27898, 476, 5002, 271, 454, 293, 281, 1341, 280, 6507, 476, 272, 476, 4649, 274, 476, 31172, 275, 454, 28319, 754, 571, 568, 519, 13653, 543, 5883, 7649, 540, 519, 674, 3305, 269, 8061, 754, 571, 814, 1044, 28165, 676, 519, 10966, 7040, 540, 18310, 609, 519, 25084, 543, 2140, 540, 968, 25938, 1640, 5917, 11229, 6100, 8061, 754, 571, 814, 811, 982, 476, 2767, 1296, 685, 19023, 1995, 538, 5010, 543, 3486, 2361, 269, 769, 1840, 547, 18310, 267, 8061, 754, 571, 568, 849, 15861, 607, 606, 18607, 27408, 25237, 538, 1715, 3840, 267, 10588, 540, 12052, 267, 10966, 7040, 540, 519, 2136, 2276, 543, 1896, 8549, 30271, 538, 7330, 269, 8061, 754, 571, 849, 5249, 609, 1585, 1876, 10909, 538, 1715, 3840, 543, 6115, 267, 667, 5861, 563, 28319, 754, 571, 814, 1044, 6444, 676, 16422, 1499, 6820, 267, 16422, 1499, 5607, 267, 5808, 779, 5808, 13751, 267, 16869, 20929, 267, 4521, 14636, 2622, 18225, 267, 8028, 304, 18225, 267, 3955, 16676, 1581, 16010, 18225, 267, 3092, 269, 5808, 779, 5808, 13751, 814, 6444, 1864, 10838, 519, 1158, 779, 3056, 17864, 538, 18229, 267, 631, 26031, 267, 1788, 8804, 543, 22028, 2361, 585, 519, 2063, 1896, 1296, 269, 13751, 9012, 6828, 779, 16869, 20929, 13757, 6444, 1864, 10838, 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, 8702, 547, 938, 3460, 998, 519, 4241, 1158, 540, 8738, 332, 3150, 11951, 256, 1284, 2811, 865, 9599, 547, 6338, 596, 547, 519, 8949, 10366, 543, 2189, 8286, 602, 2097, 689, 713, 4190, 2197, 538, 14913, 5607, 269, 1411, 1522, 581, 11842, 267, 1141, 568, 8738, 2742, 286, 4270, 267, 2221, 596, 4440, 917, 621, 607, 27060, 267, 513, 1747, 2407, 540, 1686, 267, 2528, 267, 543, 1034, 11932, 267, 1426, 2439, 289, 584, 332, 3150, 11951, 568, 513, 17175, 3575, 540, 1114, 7506, 689, 922, 15231, 2477, 899, 3624, 267, 3127, 267, 543, 17289, 269, 901, 1797, 602, 972, 781, 1945, 585, 3025, 547, 2972, 269, 3245, 7646, 569, 838, 5367, 1225, 1845, 547, 8126, 344, 25235, 267, 29549, 7573, 8286, 267, 543, 17705, 16152, 267, 1577, 781, 2263, 891, 11477, 16782, 1927 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 8666, 2630, 729, 3144, 693, 513, 1397, 269, 570, 29108, 6825, 1312, 741, 4155, 6472, 543, 7841, 3560, 609, 519, 2012, 512, 29108, 267, 538, 5835, 1698, 8558, 269, 901, 729, 7363, 538, 513, 10750, 3625, 7097, 855, 593, 519, 9252, 561, 13446, 18651, 1206, 713, 729, 21401, 20733, 607, 3254, 2630, 563, 8993, 31233, 570, 29108, 9252, 561, 13446, 454, 4002, 7841, 13688, 519, 20446, 729, 693, 513, 13581, 5086, 267, 8375, 547, 519, 1318, 269, 769, 476, 3422, 275, 634, 476, 278, 570, 781, 3090, 540, 570, 29108, 729, 5189, 543, 519, 2754, 2012, 4957, 547, 6404, 2013, 267, 3854, 570, 609, 27608, 1412, 29108, 8339, 634, 16749, 13688, 941, 711, 1065, 20557, 2705, 543, 4421, 328, 1229, 593, 538, 741, 2025, 20446, 585, 1296, 27502, 269, 570, 29108, 1185, 1044, 5665, 7841, 7382, 530, 30368, 2094, 519, 476, 4572, 271, 338, 267, 891, 941, 9252, 16509, 19034, 13688, 267, 782, 3109, 609, 570, 2752, 300, 3722, 538, 476, 274, 3723, 5022, 693, 513, 13581, 5086, 630, 30545, 547, 519, 1318, 264, 593, 519, 5011, 563, 8993, 31233, 570, 29108, 7382, 543, 2022, 476, 3422, 275, 20446, 585, 561, 528, 1845, 454, 763, 23394, 7714, 667, 1495, 2465, 1201, 10320, 729, 11751, 676, 570, 29108, 538, 476, 3422, 279, 267, 2705, 519, 7841, 13688, 7283, 538, 23394, 7714, 561, 6116, 883, 519, 2038, 476, 2735, 271, 338, 269, 634, 667, 1495, 2465, 1201, 10320, 998, 1584, 729, 2799, 2947, 16784, 676, 476, 2735, 280, 269, 769, 476, 1960, 273, 519, 667, 1495, 2465, 1201, 10320, 729, 4421, 547, 519, 11285, 16528, 1201, 10719, 715, 2106, 553, 8891, 15950, 6828, 630, 15367, 849, 7500, 689, 4432, 956, 332, 699, 5800, 1040, 634, 1201, 10320, 1631, 3157, 3063, 5230, 19020, 11041, 547, 3132, 513, 2039, 540, 3787, 636, 839, 543, 513, 2039, 540, 1253, 650, 919, 1519, 3154, 3282, 267, 7286, 17088, 267, 19149, 908, 3282, 3490, 13632, 543, 4492, 11041, 616, 849, 3812, 563, 293, 8803, 14717, 2674, 267, 5432, 2221, 585, 741, 946, 540, 1164, 4390, 530, 30368, 267, 941, 849, 3238, 538, 11288, 1412, 30198, 1042, 5672, 611, 600, 262, 676, 7841, 267, 2705, 594, 723, 711, 14360, 606, 4704, 547, 7382, 530, 30368, 538, 713, 6109, 781, 561, 6116, 563, 293, 8787, 7231, 538, 9779, 18210, 2506, 6160, 687, 454, 30531, 18210, 2506, 6160, 687, 616, 5386, 5536, 540, 3787, 18210, 17735, 538, 1216, 267, 1031, 585, 4155, 17774, 5217, 607, 519, 1216, 2636, 519, 7363, 1360, 1471, 32654, 3787, 18210, 547, 581, 10936, 539, 5196, 513, 4155, 2627, 609, 1447, 8022, 267, 519, 1216, 1287, 18493, 919, 269, 634, 5728, 547, 5329, 519, 522, 1176, 13545, 17735, 538, 519, 900, 13955, 568, 547, 6850, 560, 5597, 5279, 519, 3787, 18210, 5536, 865, 789, 1065, 601, 1142, 824, 543, 798, 711, 30243, 3634, 269, 901, 4480, 267, 1572, 12019, 1975, 2001, 267, 729, 11827, 693, 519, 4098, 540, 519, 476, 4572, 271, 338, 676, 670, 7676, 30129, 27963, 599, 543, 6723, 15656, 7629, 599, 630, 320, 14664, 729, 11292, 538, 476, 4572, 273, 1040, 1635, 1287, 267, 27963, 599, 1185, 4646, 1010, 1378, 2754, 267, 1306, 24615, 12019, 17186, 17290, 267, 547, 17908, 519, 14664, 538, 519, 2136, 8003, 269, 594, 729, 711, 2111, 547, 1265, 1022, 4704, 547, 530, 30368, 11262, 676, 6004, 27963, 599, 781, 2754, 563, 23873, 9779, 18210, 2506, 6160, 687, 13456, 454, 1607, 2754, 4421, 606, 900, 13955, 3575, 789, 1572, 2051, 25785, 2506, 13955, 269, 1703, 568, 513, 8523, 540, 835, 540, 741, 530, 30368, 538, 6004, 12875, 4958, 781, 1433, 1412, 30821, 15950, 12565, 26653, 25538, 976, 540, 6628, 262, 6029, 835, 540, 741, 13688, 267, 513, 1079, 16327, 3477, 26035, 17956, 693, 2901, 1439, 676, 2587, 1194, 10824, 267, 519, 2427, 726, 908, 11498, 3564, 519, 7382, 7475, 630, 27271, 2938, 593, 1202, 4327, 530, 30368, 4352, 711, 1455, 1070, 1818, 713, 513, 26815, 2653, 7382, 547, 2203, 1210, 513, 9102, 1957, 12109, 3899, 563, 8993, 31233, 3703, 9779, 18210, 2506, 6160, 687, 13456, 18618, 7382, 454, 299, 542, 2506, 6160, 687, 13456, 454, 1607, 2754, 941, 5665, 7382, 530, 30368, 676, 519, 4571, 476, 4350, 271, 338, 630, 335, 1601, 4601, 4505, 264, 543, 941, 835, 540, 519, 2063, 3549, 547, 7500, 513, 18239, 540, 4130, 13688, 630, 2865, 15151, 2034, 1688, 1040, 2368, 540, 741, 19671, 15841, 13688, 4797, 538, 946, 883, 519, 476, 2735, 271, 338, 630, 24392, 519, 23193, 2506, 6160, 687, 32107, 4667, 547, 723, 20374, 538, 519, 476, 3199, 781, 267, 519, 13688, 1287, 1373, 3109, 609, 1175, 519, 3044, 24795, 543, 18618, 6808, 6801, 593, 873, 1916, 763, 3943, 6109, 2051, 553, 729, 4646, 538, 476, 4572, 275, 543, 12349, 519, 12600, 2924, 547, 946, 519, 1587, 538, 5333, 269, 634, 2012, 2051, 553, 630, 1721, 1412, 322, 1245, 28372, 10807, 729, 7550, 1317, 1256, 1287, 824, 10909, 941, 9513, 741, 1378, 1412, 322, 1245, 10936, 262, 2472, 543, 519, 2165, 729, 1100, 3476, 1152, 2404, 609, 519, 27963, 599, 16927, 961, 599, 1587, 269, 901, 2754, 849, 13234, 538, 519, 5177, 267, 789, 1185, 693, 2547, 835, 7382, 530, 6782, 3710, 538, 519, 2663, 476, 4572, 271, 338, 2705, 519, 1152, 8523, 594, 723, 2938, 729, 538, 6004, 12875, 4958, 781, 1433, 8891, 15950, 12565, 26653, 25538, 976, 540, 6628, 630, 5408, 31639, 1070, 713, 5526, 547, 581, 513, 20536, 781, 8666, 543, 972, 616, 1100, 24795, 593, 519, 7382, 1560, 824, 982, 519, 2754, 2012, 563, 309, 3554, 6160, 13456, 7358, 730, 682, 1078, 7382, 530, 30368, 538, 741, 1412, 30531, 636, 6160, 262, 561, 6116, 538, 519, 476, 4572, 271, 338, 543, 476, 4350, 271, 338, 267, 519, 1383, 2630, 568, 689, 519, 29732, 2006, 10787, 880, 715, 15378, 2039, 563, 8993, 31233, 29732, 2006, 10787, 880, 1412, 30531, 636, 6160, 262, 7382, 454, 26199, 10003, 338, 13456, 9122, 538, 26676, 2917, 630, 312, 30435, 264, 543, 3964, 538, 827, 476, 4350, 271, 267, 713, 2754, 1572, 922, 1587, 1412, 30531, 12541, 3299, 519, 530, 30368, 941, 3109, 609, 519, 1587, 2012, 609, 519, 2754, 2012, 18284, 538, 3043, 269, 1703, 568, 513, 979, 1993, 8523, 540, 835, 540, 519, 530, 30368, 538, 9291, 23747, 781, 17721, 13574, 518, 25538, 976, 5292, 269, 476, 274, 563, 7883, 547, 1283, 540, 2985, 0, 29605, 30047, 910, 1284, 662, 532, 6191, 543, 9260, 8455, 2471, 454, 288, 9260, 1532, 16466, 568, 513, 1360, 1804, 1305, 540, 3666, 10253, 1031, 585, 20604, 1804, 6472, 267, 1519, 7504, 6537, 7047, 338, 267, 561, 528, 1845, 543, 16749, 530, 30368, 269, 634, 1101, 4052, 6191, 540, 713, 1826, 941, 11827, 676, 3627, 19785, 3430, 540, 27257, 538, 519, 476, 14690, 271, 338, 543, 519, 5007, 5920, 1287, 4957, 2370, 2394, 519, 476, 3422, 271, 338, 269, 634, 6093, 10380, 585, 4155, 6472, 5161, 540, 513, 1804, 4496, 6676, 1305, 883, 519, 4155, 2627, 609, 513, 1507, 554, 583, 22290, 621, 5627, 519, 4336, 269, 634, 1568, 616, 782, 18284, 519, 6676, 543, 991, 711, 6161, 519, 1110, 11839, 2705, 519, 2596, 11460, 568, 3254, 2630, 267, 835, 1448, 547, 4063, 568, 602, 519, 16025, 610, 4496, 8720, 519, 3095, 1063, 519, 8115, 543, 519, 554, 583, 1058, 2141, 581, 13988, 609, 519, 8998, 540, 519, 8115, 454, 8993, 13090, 1284, 662, 8822, 7271, 454, 763, 9260, 8822, 729, 513, 4183, 540, 1034, 16749, 5370, 18126, 267, 6539, 781, 616, 2139, 689, 1585, 2959, 930, 540, 799, 2097, 609, 606, 31960, 21567, 8115, 269, 634, 4605, 2630, 2982, 513, 8390, 593, 519, 2596, 1374, 267, 513, 1804, 2679, 568, 2404, 609, 513, 9260, 8822, 855, 1152, 519, 1318, 1688, 3791, 540, 519, 2679, 8075, 519, 20604, 7271, 269, 634, 14230, 568, 513, 1804, 5604, 607, 713, 1383, 729, 593, 513, 4155, 3056, 547, 513, 1507, 1895, 540, 15327, 543, 513, 12324, 627, 541, 325, 543, 23999, 269, 8074, 602, 519, 6676, 8720, 519, 3095, 720, 1063, 519, 8115, 543, 519, 20604, 4055, 568, 4092, 896, 519, 6885, 267, 538, 519, 8998, 540, 519, 8115, 711, 519, 8998, 540, 519, 2679, 563, 8993, 13090, 1284, 662, 8822, 609, 7923, 5604, 454, 305, 1933, 6174, 9260, 13123, 616, 2404, 609, 13557, 2326, 7829, 267, 6886, 971, 607, 5755, 543, 4401, 610, 543, 5370, 971, 607, 10286, 269, 10089, 330, 15559, 849, 2154, 9260, 8115, 6703, 855, 713, 5673, 547, 930, 6708, 593, 945, 568, 5665, 519, 1244, 582, 543, 1141, 519, 5370, 616, 2469, 547, 543, 689, 563, 7712, 519, 476, 3422, 271, 338, 824, 2010, 723, 2097, 883, 946, 267, 835, 3362, 1110, 8215, 2413, 1826, 5654, 899, 513, 1970, 8115, 267, 3710, 7357, 540, 6405, 269, 634, 17250, 2630, 568, 1759, 593, 606, 1383, 693, 519, 5449, 7841, 1606, 5703, 9791, 17781, 9160, 1244, 582, 693, 17368, 9150, 523, 267, 5045, 540, 25480, 269, 634, 6337, 941, 3144, 538, 519, 3735, 476, 2735, 271, 781, 689, 513, 8429, 5721, 543, 1397, 1100, 5604, 5612, 22290, 519, 8115, 267, 27229, 972, 729, 930, 1106, 540, 6552, 2542, 9744, 538, 513, 7404, 5604, 269, 634, 8115, 729, 4092, 593, 519, 1935, 4155, 3056, 547, 519, 12363, 543, 972, 729, 4055, 585, 513, 561, 13446, 547, 1780, 2312, 540, 519, 8115, 950, 2838, 269, 634, 16064, 540, 519, 8115, 729, 1804, 2614, 547, 4163, 606, 13994, 4327, 9160, 561, 13446, 543, 10859, 13652, 8814, 563, 8993, 31233, 7073, 1284, 662, 1532, 16466, 454, 763, 8115, 3294, 5161, 540, 513, 6659, 3490, 14059, 676, 1079, 15155, 1186, 609, 544, 578, 6405, 6821, 547, 2901, 2427, 269, 634, 8523, 2630, 2982, 519, 3003, 12363, 267, 519, 8115, 568, 4092, 538, 519, 8998, 1063, 519, 1079, 11651, 3101, 521, 573, 902, 269, 898, 814, 1079, 3282, 25859, 593, 621, 543, 519, 5011, 540, 519, 3490, 267, 1141, 519, 561, 13446, 8255, 267, 616, 513, 5594, 1114, 7990, 563, 8993, 31233, 24533, 12363, 543, 9260, 1532, 16466, 454, 763, 16749, 530, 6782, 9260, 1532, 16466, 3096, 606, 9247, 2147, 7271, 609, 513, 3760, 543, 513, 1507, 554, 583, 2673, 676, 269, 634, 3760, 729, 2356, 4988, 609, 1544, 6362, 543, 666, 581, 3362, 1110, 8215, 607, 3254, 2630, 269, 634, 2404, 554, 583, 666, 581, 513, 3339, 15839, 610, 6405, 1826, 855, 538, 930, 6753, 713, 568, 1305, 883, 519, 2666, 269, 901, 8545, 1374, 568, 2404, 609, 5577, 704, 530, 6782, 15205, 2798, 267, 621, 2636, 519, 9260, 1532, 16466, 5234, 547, 2638, 602, 5577, 704, 9885, 616, 6806, 607, 519, 16041, 530, 30368, 616, 6537, 936, 519, 8115, 269, 24020, 530, 30368, 1185, 741, 512, 732, 630, 24105, 264, 2597, 6825, 593, 519, 2427, 865, 621, 729, 1152, 2556, 547, 9260, 519, 16041, 6472, 267, 538, 519, 1447, 14931, 1158, 540, 4155, 688, 592, 720, 621, 729, 3339, 2259, 547, 9260, 519, 530, 6782, 610, 7047, 607, 621, 4682, 538, 543, 1586, 950, 621, 3357, 856, 547, 6166, 519, 24795, 941, 2953, 563, 763, 1383, 11516, 3481, 2630, 729, 538, 513, 530, 19977, 5370, 13452, 267, 621, 729, 13883, 593, 513, 521, 4575, 8023, 519, 1439, 15205, 546, 1442, 543, 4881, 2250, 519, 18219, 540, 1079, 13452, 1835, 6951, 269, 901, 5921, 711, 782, 530, 30368, 941, 26693, 855, 1346, 1034, 2693, 547, 4163, 5230, 13907, 1131, 1780, 936, 621, 269, 594, 1589, 519, 5755, 521, 573, 902, 4839, 3481, 1055, 689, 713, 1899, 267, 865, 621, 949, 723, 1044, 1031, 585, 519, 5755, 530, 30368, 267, 4352, 594, 993, 711, 2386, 1946, 519, 16749, 1131, 6999, 547, 9260, 16041, 5755, 530, 30368, 21945, 538, 519, 13452, 563, 8993, 13090, 12565, 1284, 662, 8822, 454, 4002, 4587, 7841, 9260, 1532, 5090, 2471, 1142, 530, 6782, 1185, 547, 581, 17479, 593, 519, 8115, 538, 2490, 269, 7073, 7841, 9260, 1532, 5090, 2471, 267, 3710, 2094, 519, 2663, 476, 3422, 271, 338, 543, 1141, 519, 6808, 568, 3586, 267, 723, 1044, 22041, 547, 1450, 519, 530, 30368, 547, 581, 15504, 936, 519, 8115, 538, 513, 986, 651, 269, 0, 2691, 513, 1268, 7140, 547, 519, 13309, 267, 543, 547, 1082, 824, 1072, 4648, 267, 621, 568, 5097, 6027, 1973, 2604, 20193, 568, 835, 540, 519, 1034, 1271, 10832, 540, 1072, 4567, 269, 2026, 513, 4341, 267, 2523, 4585, 602, 952, 621, 568, 6659, 10611, 9254, 1027, 2628, 1454, 1447, 3007, 267, 1317, 621, 568, 711, 2808, 5906, 563, 1410, 12371, 3652, 547, 513, 1978, 6708, 17062, 267, 543, 1142 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 584, 517, 4345, 910, 22514, 24212, 282, 966, 652, 24212, 22813, 4345, 282, 5164, 531, 683, 340, 1503, 629, 31307, 4345, 282, 966, 652, 24212, 8411, 4345, 282, 6997, 31307, 4345, 910, 9825, 15282, 281, 6997, 31307, 4345, 910, 21994, 282, 6997, 31307, 4345, 910, 9825, 15282, 282, 6997, 31307, 4345, 910, 6217, 2530, 24248, 31307, 4345, 568, 16698, 543, 11926, 540, 519, 6418, 1274, 269, 898, 666, 2014, 9825, 15282, 543, 6217, 2530, 269, 15486, 6997, 31307, 4345, 568, 2356, 3361, 676, 513, 3644, 543, 3006, 676, 4551, 269, 11109, 513, 4411, 610, 2770, 666, 9594, 519, 2783, 269, 10815, 1419, 267, 606, 1274, 3968, 949, 1291, 547, 2978, 31307, 4345, 269, 4033, 3123, 1331, 11959, 610, 1978, 11955, 602, 616, 3983, 585, 519, 6418, 1274, 269, 2659, 6418, 1274, 568, 1271, 585, 1312, 6217, 543, 3666, 269, 1879, 596, 723, 2978, 31307, 4345, 267, 519, 2694, 540, 707, 6418, 1274, 1831, 8886, 730, 543, 22224, 269, 901, 666, 1118, 596, 6336, 707, 3666, 543, 2014, 6217, 2530, 269, 4322, 2188, 6318, 707, 1981, 585, 2978, 31307, 4345, 281, 7804, 9722, 1804, 5666, 540, 4568, 15310, 8982, 15310, 8982, 293, 520, 8982, 568, 513, 4743, 540, 5957, 1465, 267, 13110, 1145, 267, 610, 3668, 540, 1648, 19403, 9137, 3767, 3883, 4460, 9137, 3778, 540, 11959, 2353, 25489, 2304, 14711, 568, 606, 4761, 3210, 610, 5114, 547, 6878, 602, 616, 2356, 711, 5739, 269, 15862, 5649, 9137, 3767, 3883, 4460, 9137, 10765, 10194, 4576, 267, 7929, 3968, 267, 610, 1274, 3968, 28614, 3968, 763, 1913, 834, 637, 21732, 257, 543, 834, 637, 17508, 257, 3277, 547, 519, 9641, 543, 7244, 269, 15862, 5649, 9137, 3767, 3883, 4460, 9137, 2423, 3968, 28606, 5563, 616, 835, 540, 519, 1034, 1455, 4128, 3237, 1491, 741, 1453, 547, 519, 1072, 1416, 8502, 269, 634, 1034, 1455, 1826, 540, 1274, 3968, 568, 3267, 15862, 5649, 9137, 3767, 3883, 4460, 9137, 25003, 13262, 13262, 29590, 568, 513, 4743, 540, 3929, 610, 2168, 8082, 269, 898, 666, 2097, 689, 1022, 2680, 610, 2219, 602, 2306, 596, 1745, 21616, 267, 14220, 267, 610, 8401, 269, 853, 637, 1862, 15862, 5649, 9137, 3767, 3883, 4460, 9137, 4635, 1978, 13310, 610, 1875, 26078, 5524, 11955, 630, 7945, 607, 29469, 264, 12580, 12580, 949, 1331, 1022, 540, 519, 1739, 281, 30342, 899, 596, 616, 18343, 267, 1256, 950, 596, 616, 1869, 630, 3200, 15282, 1040, 20539, 15282, 291, 20063, 568, 513, 2165, 602, 568, 1419, 1031, 547, 4766, 476, 273, 1114, 2589, 281, 1769, 20243, 1145, 543, 9825, 15282, 269, 8752, 20243, 1145, 568, 513, 4743, 602, 596, 1522, 535, 2967, 1862, 15862, 5649, 9137, 3767, 3883, 4460, 9137, 2659, 4064, 3001, 593, 741, 1378, 267, 1818, 621, 2182, 547, 1445, 873, 269, 2659, 4064, 3001, 593, 741, 1378, 267, 301, 22438, 698, 16443, 568, 513, 2165, 547, 4766, 3728, 267, 796, 19055, 762, 5322, 540, 519, 4064, 602, 949, 581, 281, 306, 728, 547, 2427, 630, 1817, 714, 7267, 562, 22438, 698, 16443, 264, 10000, 543, 1524, 630, 3200, 673, 562, 22438, 320, 1862, 15862, 5649, 9137, 3767, 3883, 4460, 9137, 667, 20063, 269, 24651, 2530, 538, 835, 1274, 269, 24651, 2530, 295, 8960, 2530, 568, 1373, 14356, 610, 11207, 8572, 547, 5873, 3280, 538, 835, 610, 1312, 10772, 269, 15862, 5649, 9137, 3767, 3883, 4460, 9137, 13809, 540, 3666, 4534, 596, 949, 2887, 4724, 835, 2427, 269, 715, 13835, 543, 13481, 269, 681, 15781, 610, 824, 21089, 538, 707, 10772, 630, 339, 11624, 1040, 570, 11624, 307, 11624, 568, 519, 2564, 2165, 585, 834, 515, 2130, 257, 21089, 538, 707, 10772, 269, 898, 4386, 950, 972, 568, 1100, 3544, 2707, 540, 519, 4992, 269, 570, 11624, 568, 1419, 1572, 834, 337, 1862, 15862, 5649, 9137, 3767, 3883, 4460, 9137, 1401, 4461, 543, 18873, 2659, 1072, 1416, 8502, 949, 2285, 596, 513, 2168, 981, 269, 1411, 949, 849, 723, 4255, 540, 707, 8401, 1062, 630, 928, 9951, 673, 981, 1040, 307, 3949, 666, 4341, 856, 824, 3123, 540, 707, 2589, 269, 1452, 949, 1331, 281, 7417, 294, 630, 1889, 9778, 519, 5122, 2534, 540, 519, 2634, 264, 661, 9680, 2304, 6850, 775, 13921, 6945, 630, 7417, 294, 264, 568, 513, 1449, 547, 2268, 519, 5122, 2534, 540, 519, 2634, 269, 15862, 5649, 9137, 3767, 3883, 4460, 9137, 5082, 1258, 22438, 698, 332, 2762, 267, 543, 8337, 543, 9023, 519, 6418, 1274, 609, 2011, 610, 1216, 547, 1449, 3750, 16846, 525, 630, 5632, 7595, 14242, 264, 5082, 1258, 22438, 698, 332, 2762, 16978, 1258, 22438, 698, 332, 2762, 568, 513, 1449, 602, 5654, 693, 3750, 5322, 547, 1294, 875, 1134, 13285, 538, 519, 2634, 616, 2324, 269, 1452, 13285, 616, 281, 309, 652, 24212, 8229, 630, 324, 662, 1862, 5649, 9137, 3767, 3883, 4460, 9137, 2836, 7595, 14242, 9773, 7595, 14242, 568, 513, 1449, 602, 3096, 3604, 538, 2837, 547, 13209, 3441, 547, 519, 17974, 8229, 269, 901, 568, 519, 8229, 602, 568, 3238, 538, 554, 1862, 5649, 9137, 3767, 3883, 4460, 9137, 10361, 11632, 11571, 10361, 11632, 11571, 288, 2212, 17223, 29821, 630, 6311, 264, 11571, 3096, 1082, 1535, 17530, 547, 1711, 5961, 540, 519, 2212, 267, 1519, 519, 15693, 267, 2634, 267, 3750, 1124, 22806, 267, 543, 5609, 4926, 269, 15862, 5649, 9137, 3767, 3883, 4460, 9137, 24651, 1449, 24651, 1449, 2304, 24384, 5852, 981, 4255, 707, 2702, 547, 5873, 4992, 269, 16319, 4268, 267, 1759, 593, 741, 10978, 1145, 630, 842, 3748, 264, 543, 519, 3432, 540, 3280, 5951, 21513, 630, 339, 821, 264, 1862, 15862, 5649, 9137, 3767, 3883, 4460, 9137, 18909, 540, 519, 2212, 28122, 540, 519, 2212, 288, 2212, 18909, 630, 332, 8568, 16982, 9196, 264, 568, 606, 9196, 1449, 602, 3096, 3532, 22197, 543, 5925, 6329, 547, 1711, 5961, 540, 519, 2634, 543, 4478, 1862, 15862, 5649, 9137, 3767, 3883, 4460, 9137, 9615, 6997, 31307, 4345, 2356, 4422, 2476, 1369, 513, 1906, 4374, 269, 9615, 666, 948, 2569, 9825, 15282, 543, 824, 2589, 269, 5709, 1149, 602, 949, 948, 1331, 281, 12901, 328, 7290, 26952, 5709, 1149, 547, 1852, 15353, 543, 13481, 267, 971, 607, 605, 18608, 704, 8872, 5709, 1149, 547, 14867, 21994, 267, 971, 607, 803, 743, 714, 710, 610, 1085, 641, 565, 8533, 20767, 2510, 267, 971, 607, 546, 27927, 788, 600, 630, 11749, 1756, 264, 595, 20294, 8803, 6950, 4165, 643, 12637, 11955, 1403, 596, 723, 4049, 13481, 267, 596, 949, 581, 15861, 547, 519, 6413, 269, 10287, 707, 8502, 781, 5528, 585, 2921, 1416, 540, 3054, 693, 1753, 269, 23560, 891, 1919, 666, 948, 596, 4383, 9825, 15282, 281, 21982, 1416, 540, 3054, 693, 1753, 2791, 949, 723, 2938, 707, 1072, 1416, 8502, 1317, 596, 723, 1185, 2978, 31307, 4345, 269, 901, 6418, 1274, 1966, 666, 2014, 596, 547, 1745, 899, 596, 616, 18343, 630, 1862, 5649, 9137, 3767, 3883, 4460, 9137, 13773, 1869, 543, 1964, 269, 3680, 6727, 5322, 610, 2990, 2242, 269, 10163, 1282, 4049, 14501, 269, 20405, 569, 16056, 2534, 269, 1411, 949, 991, 948, 6972, 950, 596, 6336, 707, 3666, 1282, 6285, 269, 3680, 6505, 8279, 267, 7641, 267, 543, 2542, 1282, 6285, 269, 9105, 707, 8502, 827, 3666, 3797, 269, 901, 949, 948, 2899, 15353, 543, 13481, 723, 5293, 269, 1411, 1058, 2057, 519, 1739, 585, 476, 272, 3018, 1310, 2589, 14897, 281, 7804, 1516, 21952, 5230, 12227, 29725, 6883, 589, 6727, 546, 714, 5414, 11963, 1282, 891, 2238, 666, 581, 5906, 269, 31326, 630, 3682, 3913, 2670, 264, 898, 3217, 942, 585, 2978, 31307, 4345, 2589, 547, 979, 2476, 4625, 2529, 324, 3164, 2589, 2356, 979, 2476, 1369, 513, 3018, 269, 4107, 1004, 616, 4625, 1732, 1369, 476, 273, 547, 476, 274, 3275, 269, 24771, 4079, 616, 811, 2693, 547, 723, 21994, 602, 16569, 3476, 16638, 1360, 4686, 2665, 267, 6217, 2530, 568, 8628, 269, 25792, 1290, 4124, 4658, 609, 4049, 9825, 15282, 949, 1205, 13204, 3603, 1813, 547, 7928, 13481, 269, 1879, 547, 13555, 513, 6481, 12333, 11910, 707, 8502, 952, 281, 2791, 723, 21994, 267, 9825, 15282, 267, 2530, 540, 3666, 267, 610, 824, 2589, 540, 2978, 31307, 4345, 1411, 723, 6217, 2530, 11910, 476, 26605, 610, 519, 2199, 6595, 1297, 952, 596, 723, 1022, 540, 519, 1739, 4049, 2589, 281, 3519, 341, 6160, 687, 1230, 341, 6160, 687, 288, 23069, 568, 519, 2168, 2242, 538, 2623, 602, 4386, 1282, 606, 12558, 540, 9402, 5122, 2534, 538, 519, 2634, 269, 634, 2165, 834, 572, 714, 675, 257, 568, 1419, 1862, 15862, 5649, 9137, 3767, 3883, 4460, 9137, 17677, 5075, 674, 31021, 966, 558, 1746, 513, 2603, 6215, 13899, 4633, 20539, 15282, 602, 4386, 609, 513, 8611, 540, 811, 982, 476, 6200, 13790, 630, 4343, 269, 274, 9180, 264, 31808, 1145, 610, 26900, 10644, 1703, 568, 1100, 1634, 1259, 547, 2061, 2978, 31307, 4345, 269, 15411, 22108, 27066, 25911, 2129, 681, 310, 267, 23514, 808, 290, 269, 24651, 543, 11466, 269, 769, 281, 7108, 2006, 700, 267, 5576, 29195, 3642, 267, 32308, 269, 7108, 2006, 4211, 1815, 559, 6925, 269, 476, 2918, 628, 1196, 269, 15740, 267, 13698, 281, 29021, 282, 476, 1708, 271, 281, 577, 777, 476, 6110, 11065, 334, 1682, 320, 611, 2098, 292, 267, 20052, 1014, 14408, 267, 4793, 559, 623, 294, 269, 9615, 540, 703, 847, 762, 9825, 15282, 269, 769, 281, 654, 4883, 15679, 267, 1196, 269, 1411, 332, 753, 543, 654, 4883, 27096, 673, 17889, 269, 476, 278, 628, 1196, 269, 15740, 267, 13698, 281, 29021, 282, 476, 1001, 278, 281, 577, 777, 476, 10755, 14371, 15957, 731, 808, 290, 267, 6215, 19495, 18040, 269, 32035, 540, 519, 2978, 31307, 269, 769, 281, 4469, 842, 623, 310, 267, 14731, 670, 310, 267, 670, 13774, 30750, 645, 295, 267, 1696, 620, 267, 32308, 269, 595, 17026, 902, 17305, 565, 28640, 1108, 281, 10361, 543, 3026, 1188, 17889, 269, 476, 278, 628, 1196, 269, 15740, 267, 13698, 281, 29021, 282, 476, 1708, 272, 281, 577, 777, 476, 14028, 269, 5472, 21581, 3412, 1137, 307, 690, 28606, 14169, 910, 14745, 634, 1274, 5161, 540, 5007, 267, 1647, 267, 543, 6418, 3889, 269, 634, 552, 731, 5300, 543, 519, 476, 274, 6263, 7633, 2932, 3280, 689, 519, 552, 731, 5300, 547, 519, 31882, 548, 320, 9950, 541, 14169, 650, 755, 1674, 28606, 14169, 910, 14745, 634, 1274, 5161, 540, 5007, 267, 1647, 267, 543, 6418, 3889, 269, 634, 552, 731, 5300, 543, 519, 476, 274, 6263, 7633, 2932, 3280, 689, 519, 552, 731, 5300, 547, 519, 31882, 548, 320, 9950, 541, 14169, 650, 755, 1674, 20236, 5516, 6997, 31307, 4345, 910, 1310, 3249, 13565, 6176, 667, 20063, 263, 21618, 264, 28606, 3968, 910, 8650, 18154, 1180, 819, 264, 13349, 4411, 18154, 1180, 819, 264, 5472, 25489, 18154, 1180, 819, 264, 2419, 565, 652, 324, 520, 5448, 18154, 1180, 819, 264, 4910, 21732, 263, 22492, 13445, 264, 302, 339, 4345, 18154, 1180, 819, 264, 29590, 543, 707, 1072, 263, 21618, 264, 293, 520, 8982, 263, 21618, 264, 28606, 5563, 263, 1103, 5937, 3704, 264, 8624, 1091, 543, 519, 2770, 263, 1103, 5937, 3704, 264, 5472, 21544, 28591, 4345, 263, 1103, 5937, 3704, 264, 5623, 11261, 281, 476, 278, 270, 2918, 270, 1708, 272, 5623, 539, 1635, 281, 9478, 966, 269, 8805, 749, 821, 267, 11022, 267, 4972, 540, 27096, 344, 267, 23101, 6481, 3427, 693, 18007, 534, 2160, 267, 6682, 6577, 267, 27359, 269, 5623, 3177, 676, 7638, 328, 8469, 16195, 8416, 269, 4746, 12649, 676, 6424, 2098, 10079, 267, 11022, 267, 631, 11190, 267, 6481, 10615, 267, 6601, 24229, 1230, 12537, 267, 32000, 10615, 267, 543, 519, 589, 6185, 6993, 8160, 269, 32000, 2319, 269, 634, 1344, 3177, 23954, 1058, 711, 581, 1031, 1282, 1022, 2564, 6595, 610, 585, 519, 5868, 610, 2126, 540, 1022, 2564, 2783, 269, 589, 13931, 2564, 3318, 1058, 581, 31570, 585, 5868, 543, 2126, 540, 1022, 543, 782, 2564, 2175, 269, 25103, 547, 824, 4609, 616, 3177, 585, 1344, 1152, 4534, 789, 798, 711, 13822, 23596, 906, 540, 1346, 824, 4609, 269, 9736, 476, 1960, 278, 268, 9736, 476, 1960, 278, 268, 2353, 2924, 11603, 269, 589, 6185, 6993, 8160, 269, 1543, 568, 1655, 9763, 538, 594, 292, 280, 610, 1657, 267, 32288, 2135, 543, 5616, 24904, 11422, 5861, 2632, 550, 568, 1655, 9763, 538, 594, 292, 280, 610, 1657, 267, 32288, 2135, 543, 5616, 24904, 11422, 269, 0, 26594, 8892, 17828, 32040, 570, 1619, 269, 11822, 8892, 17828, 570, 1619, 15873, 269, 8892, 23120, 570, 1619, 15873, 269, 570, 1619, 543, 2460 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 271, 316, 815, 476, 1911, 1477, 343, 318, 852, 314, 271, 316, 815, 476, 4200, 5897, 343, 318, 2181, 341, 5091, 2086, 314, 271, 316, 815, 476, 1911, 1477, 343, 318, 852, 5091, 2086, 314, 271, 316, 815, 476, 4200, 5897, 258, 7407, 547, 1900, 998, 8638, 540, 2527, 6753, 30889, 324, 666, 3651, 6753, 23228, 328, 815, 476, 271, 5897, 258, 343, 318, 10113, 267, 1535, 318, 2181, 341, 543, 1535, 318, 852, 616, 1031, 538, 519, 25586, 3830, 585, 519, 2241, 21506, 258, 327, 1301, 4577, 14251, 1807, 269, 1535, 318, 10113, 5091, 2086, 267, 1535, 318, 2181, 341, 5091, 2086, 543, 1535, 318, 852, 5091, 2086, 616, 1031, 585, 519, 1477, 258, 323, 2086, 539, 23191, 14251, 1807, 269, 476, 1452, 4834, 5173, 519, 4087, 540, 519, 2527, 1477, 258, 520, 519, 1985, 942, 8884, 1759, 593, 519, 1699, 543, 3105, 6753, 269, 567, 1477, 6112, 512, 2999, 2698, 4671, 6769, 825, 1535, 318, 10113, 815, 630, 8987, 330, 8276, 12684, 343, 318, 852, 5157, 316, 16732, 19049, 264, 1262, 273, 11924, 263, 273, 20080, 318, 852, 5157, 8079, 268, 343, 318, 2181, 341, 5157, 15947, 825, 1535, 318, 2181, 341, 5157, 266, 272, 316, 815, 1535, 318, 852, 5157, 15947, 825, 1535, 318, 852, 5157, 266, 272, 316, 815, 1535, 318, 10113, 1477, 24541, 825, 1535, 318, 10113, 5091, 2086, 815, 16733, 273, 265, 323, 318, 7806, 1470, 265, 19049, 265, 836, 6958, 516, 336, 20080, 318, 852, 5091, 2086, 5157, 8079, 268, 9230, 19049, 1262, 273, 31618, 836, 6958, 516, 336, 1262, 273, 12684, 315, 1477, 2018, 1535, 318, 852, 5091, 2086, 5157, 8079, 268, 343, 318, 2181, 341, 5091, 2086, 5157, 316, 23444, 273, 20080, 318, 852, 5091, 2086, 5157, 316, 4297, 14370, 273, 265, 323, 318, 7806, 1470, 265, 19049, 265, 836, 6958, 516, 336, 1341, 476, 272, 3418, 825, 1535, 318, 2181, 341, 5091, 2086, 5157, 266, 272, 316, 815, 1535, 318, 852, 5091, 2086, 5157, 15947, 825, 1535, 318, 852, 5091, 2086, 5157, 266, 272, 316, 815, 1535, 318, 10113, 5091, 2086, 1477, 24541, 825, 512, 6834, 24303, 1477, 825, 1775, 6834, 476, 272, 1477, 24541, 258, 22056, 4137, 609, 476, 273, 13602, 865, 649, 666, 1294, 1312, 519, 2241, 543, 14927, 539, 14251, 725, 269, 567, 1477, 14808, 815, 12301, 8807, 2682, 6600, 12127, 1125, 815, 630, 1015, 267, 1015, 264, 10142, 258, 13678, 921, 23191, 14251, 1807, 4729, 1477, 23054, 815, 4453, 14491, 5334, 889, 7120, 263, 21076, 3418, 23054, 15630, 21234, 3488, 26594, 15053, 4577, 744, 12965, 1807, 20298, 4812, 267, 815, 3113, 19502, 8443, 343, 318, 852, 314, 271, 316, 3910, 1496, 344, 314, 271, 316, 3910, 1412, 549, 20298, 23054, 26942, 31476, 258, 323, 2086, 539, 23191, 14251, 1807, 4729, 1477, 23054, 5091, 2086, 815, 4453, 14491, 5334, 889, 7120, 263, 18891, 3418, 23054, 5091, 2086, 15630, 21234, 3488, 291, 2086, 539, 15053, 4577, 744, 12965, 1807, 20298, 4812, 5091, 2086, 267, 815, 3113, 5091, 2086, 19502, 8443, 343, 318, 852, 5091, 2086, 314, 271, 316, 3910, 1496, 344, 314, 271, 316, 3910, 1412, 549, 20298, 23054, 5091, 2086, 269, 31320, 10947, 14729, 9471, 14061, 3553, 318, 6665, 1043, 263, 16178, 3418, 23054, 5091, 2086, 26942, 31476, 258, 3553, 1535, 14289, 7182, 865, 519, 2527, 568, 1369, 513, 10257, 2070, 8587, 1477, 23054, 15630, 13448, 3916, 8443, 268, 343, 318, 2181, 341, 314, 271, 30297, 272, 269, 276, 267, 1535, 318, 2181, 341, 314, 271, 30297, 272, 269, 276, 8079, 567, 1477, 23054, 5091, 2086, 15630, 13448, 3916, 8443, 268, 343, 318, 2181, 341, 314, 271, 30297, 272, 269, 276, 267, 1535, 318, 2181, 341, 314, 271, 30297, 272, 269, 276, 8079, 567, 1477, 23054, 269, 31320, 10947, 14729, 9471, 14061, 3553, 318, 6665, 1043, 263, 16178, 3418, 258, 4958, 5281, 513, 1007, 1448, 547, 4729, 593, 519, 1482, 4729, 269, 476, 901, 18788, 519, 5892, 21506, 258, 7120, 1540, 2798, 865, 602, 519, 4729, 568, 19347, 543, 649, 666, 2965, 4585, 519, 21506, 258, 21346, 14251, 622, 269, 476, 1284, 2811, 9247, 2921, 519, 4729, 543, 2220, 339, 747, 532, 519, 28367, 21506, 258, 4812, 1871, 547, 519, 1985, 1871, 538, 519, 1535, 318, 852, 610, 1535, 318, 852, 5091, 2086, 539, 1592, 23228, 3698, 14251, 622, 3799, 267, 1535, 318, 852, 267, 1535, 318, 2181, 341, 267, 1448, 8029, 825, 1448, 15630, 12774, 18828, 15126, 8443, 343, 318, 852, 19559, 3910, 586, 19559, 316, 8079, 3418, 825, 2132, 1448, 5897, 3698, 14927, 539, 318, 8113, 650, 622, 3799, 267, 1535, 318, 852, 5091, 2086, 267, 1535, 318, 2181, 341, 5091, 2086, 267, 1448, 5091, 2086, 8029, 825, 1448, 5091, 2086, 15630, 12774, 18828, 15126, 8443, 343, 318, 852, 5091, 2086, 19559, 3910, 586, 19559, 316, 8079, 3418, 825, 2132, 1448, 5091, 2086, 5897, 258, 322, 16226, 1142, 4214, 547, 6467, 28367, 1448, 585, 865, 1082, 14604, 543, 1711, 1477, 258, 1492, 14318, 649, 1616, 23228, 8643, 815, 14318, 12171, 15635, 2304, 11582, 6600, 580, 267, 14251, 622, 267, 14604, 815, 703, 6025, 4973, 4671, 7933, 339, 1070, 1422, 1477, 13376, 535, 16911, 14352, 343, 318, 852, 267, 1535, 318, 2181, 341, 267, 1448, 17903, 8643, 5091, 2086, 815, 14318, 12171, 15635, 2304, 11582, 6600, 580, 267, 14927, 539, 318, 8113, 650, 622, 267, 14604, 815, 703, 6025, 4973, 4671, 7933, 339, 1070, 1422, 1477, 13376, 535, 16911, 14352, 343, 318, 852, 5091, 2086, 267, 1535, 318, 2181, 341, 5091, 2086, 267, 1448, 5091, 2086, 264, 10142, 10823, 20481, 3890, 0, 258, 8745, 18452, 543, 3977, 454, 322, 640, 284, 6358, 3488, 1432, 568, 707, 2749, 540, 15335, 286, 30386, 32502, 13892, 25507, 9272, 3488, 1432, 568, 707, 23407, 13892, 286, 1412, 4917, 2745, 6600, 257, 7312, 2749, 540, 15335, 568, 2715, 322, 640, 269, 5115, 1388, 1125, 3890, 348, 543, 707, 23407, 13892, 281, 2715, 32502, 13892, 348, 15419, 0, 11133, 1499, 815, 1496, 272, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 276, 267, 476, 279, 267, 476, 1724, 267, 476, 2641, 267, 476, 4097, 267, 476, 4649, 267, 476, 8660, 2639, 11133, 1499, 14682, 805, 518, 318, 22474, 318, 276, 815, 1496, 11133, 585, 1003, 538, 2338, 952, 1003, 2999, 476, 276, 6540, 2745, 6600, 257, 346, 11133, 1499, 14682, 805, 518, 318, 22474, 318, 276, 348, 616, 519, 2338, 602, 616, 1447, 982, 476, 276, 834, 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 ]

[ 538, 513, 16147, 610, 10103, 269, 0, 8702, 547, 519, 9966, 1076, 4959, 291, 454, 294, 26661, 7896, 5680, 2457, 454, 11764, 1067, 5384, 585, 717, 26661, 4841, 454, 2005, 568, 2182, 547, 3494, 602, 1776, 1153, 1032, 568, 3297, 721, 256, 3776, 22064, 1053, 786, 723, 1082, 4374, 6619, 540, 873, 1282, 713, 942, 865, 621, 781, 1271, 585, 3237, 547, 2015, 670, 8582, 789, 786, 581, 7836, 602, 942, 269, 3371, 616, 513, 1906, 10372, 547, 1118, 713, 513, 8748, 4832, 585, 596, 543, 707, 22064, 1126, 563, 6701, 596, 6236, 513, 4832, 3786, 610, 1982, 585, 707, 1126, 286, 1677, 2327, 513, 3786, 610, 4832, 1982, 568, 1318, 585, 707, 1126, 267, 519, 7027, 585, 31453, 1308, 5753, 15565, 6998, 1982, 16984, 519, 1883, 2055, 2630, 267, 607, 1134, 607, 1022, 2055, 543, 4145, 707, 1126, 949, 723, 563, 272, 269, 1215, 1082, 1453, 2132, 1142, 1032, 286, 634, 1297, 540, 1453, 945, 2132, 547, 513, 1982, 1032, 1310, 1032, 568, 3622, 606, 13525, 540, 875, 1454, 3214, 10150, 519, 1982, 563, 273, 269, 1215, 1279, 1281, 519, 1982, 2196, 286, 15789, 4268, 689, 835, 547, 4557, 4374, 269, 634, 3259, 540, 513, 1982, 5540, 1312, 519, 2949, 1942, 543, 519, 5578, 1377, 602, 666, 581, 6913, 676, 519, 5171, 563, 274, 269, 1215, 2025, 616, 1982, 5171, 286, 2659, 1126, 949, 711, 581, 6899, 952, 972, 568, 1932, 1804, 606, 2085, 7934, 1063, 1864, 17017, 543, 824, 1982, 5171, 563, 275, 269, 1215, 1082, 1982, 5171, 616, 7608, 286, 634, 2949, 1297, 540, 5171, 267, 607, 1134, 607, 519, 2450, 540, 2534, 610, 1353, 2516, 267, 5540, 519, 5790, 540, 513, 1982, 543, 519, 5686, 540, 2238, 602, 616, 2009, 563, 276, 269, 1548, 568, 519, 5223, 540, 3610, 547, 5171, 286, 634, 2539, 519, 5223, 267, 519, 811, 1367, 3007, 707, 1126, 786, 4309, 563, 277, 269, 1548, 568, 519, 1982, 6205, 781, 4282, 286, 2755, 972, 568, 1100, 4998, 4282, 585, 513, 1982, 6205, 610, 4116, 267, 1413, 585, 1982, 3401, 609, 1995, 538, 519, 2361, 267, 519, 7287, 547, 960, 538, 513, 4832, 3491, 13559, 4259, 267, 543, 6612, 585, 741, 960, 563, 278, 269, 3657, 519, 1982, 6030, 834, 920, 9016, 257, 610, 834, 12061, 29931, 9016, 22172, 589, 1982, 781, 1935, 547, 5491, 568, 606, 7533, 851, 540, 922, 6138, 269, 15789, 602, 798, 711, 9886, 5491, 5000, 1053, 547, 11654, 513, 1888, 693, 3259, 1510, 1373, 7255, 827, 9344, 269, 15894, 3766, 7949, 532, 3292, 2070, 9344, 607, 513, 3339, 851, 540, 606, 4081, 1995, 563, 279, 269, 1772, 972, 6190, 3937, 547, 1450, 1169, 1126, 547, 7119, 4628, 286, 634, 2298, 540, 519, 6703, 543, 519, 2139, 3937, 2047, 1764, 519, 1377, 540, 707, 1126, 781, 9525, 269, 1280, 1383, 267, 693, 513, 2780, 3786, 267, 835, 2780, 585, 1169, 1079, 5171, 2636, 1142, 1126, 811, 960, 942, 982, 835, 2780, 585, 1169, 2947, 5171, 269, 901, 849, 10039, 547, 8047, 267, 1148, 267, 12416, 267, 2575, 267, 543, 5026, 3937, 563, 280, 269, 6496, 519, 1982, 1450, 585, 796, 2675, 1117, 27968, 942, 286, 2659, 1126, 949, 4782, 547, 723, 1169, 8792, 16516, 267, 610, 1352, 949, 4782, 513, 811, 17159, 10605, 602, 2882, 796, 2675, 1117, 27968, 1863, 942, 563, 1015, 269, 3657, 972, 9709, 1514, 2238, 585, 519, 3214, 286, 4107, 3292, 1544, 13016, 1895, 2238, 585, 5171, 547, 1205, 547, 917, 1142, 824, 269, 589, 1906, 3292, 4734, 713, 909, 547, 519, 1053, 563, 11045, 15659, 519, 4317, 7232, 332, 10899, 20126, 540, 2659, 717, 26661, 4132, 454, 3080, 540, 519, 1034, 4101, 3344, 540, 15970, 543, 18997, 22064, 1053, 568, 5870, 741, 1514, 15041, 10899, 2115, 269, 14268, 666, 6108, 930, 942, 713, 4832, 2542, 4930, 593, 519, 1514, 15041, 10899, 2115, 540, 22064, 1053, 269, 30451, 607, 1134, 607, 3237, 666, 2744, 1454, 1620, 689, 891, 4930, 543, 7270, 912, 5649, 2201, 519, 4317, 543, 16508, 22032, 540, 717, 26661, 4841, 676, 3004, 1097, 700, 269, 9061, 267, 12854, 454, 6944, 652, 543, 22952, 454, 3674, 707, 22064, 1126, 5461, 538, 6735, 286, 8437, 519, 3095, 2630, 585, 930, 2093, 789, 1522, 581, 5461, 538, 713, 4832, 256, 2552, 3949, 543, 14847, 1431, 585, 717, 26661, 4841, 454, 29613, 553, 585, 14400, 8342, 454, 763, 1739, 3095, 814, 1082, 2093, 585, 22064, 1053, 689, 2835, 547, 5100, 9162, 267, 607, 1134, 607, 17476, 543, 3301, 269, 6744, 621, 856, 256, 14400, 14313, 585, 8866, 543, 1855, 839, 454, 7476, 3238, 256, 3776, 8664, 814, 519, 9966, 1076, 14268, 585, 717, 26661, 543, 13669, 5034, 3919, 269, 6744, 856, 519, 3896, 543, 1205, 3238, 256, 0, 290, 6737, 551, 514, 30166, 864, 568, 513, 1895, 540, 15456, 4609, 2404, 609, 513, 476, 1015, 267, 1822, 14092, 516, 4401, 2324, 19460, 1950, 6580, 689, 519, 3735, 476, 1240, 628, 543, 476, 866, 628, 5553, 538, 19291, 6019, 267, 15930, 269, 634, 4015, 2882, 2326, 689, 519, 1336, 787, 3135, 630, 1240, 15709, 17168, 1070, 513, 5614, 5264, 3135, 630, 1240, 15709, 25834, 1070, 606, 3979, 12677, 10553, 28200, 630, 1240, 15709, 26825, 1070, 543, 513, 476, 866, 628, 10601, 1295, 518, 779, 2777, 630, 1240, 15709, 27844, 1040, 1452, 4609, 941, 13006, 538, 476, 3192, 278, 1282, 513, 18001, 594, 5619, 676, 2107, 337, 543, 12312, 585, 519, 6069, 12242, 1436, 540, 772, 2529, 269, 27953, 476, 1428, 1063, 10925, 5864, 10003, 543, 15930, 27953, 476, 6507, 538, 774, 584, 23992, 269, 595, 6737, 551, 514, 30166, 864, 4564, 513, 3407, 4199, 585, 25643, 519, 1646, 540, 519, 4401, 2872, 538, 519, 2136, 2276, 543, 2810, 1620, 827, 519, 19824, 543, 1570, 2528, 540, 922, 4600, 563, 290, 6737, 551, 514, 30166, 864, 24872, 5264, 13478, 7428, 5264, 24250, 864, 3118, 630, 1240, 15709, 25834, 994, 763, 595, 6737, 551, 514, 30166, 864, 24872, 5264, 13478, 7428, 5264, 24250, 864, 3118, 13505, 630, 1240, 15709, 25834, 264, 568, 513, 476, 866, 628, 10601, 2497, 2404, 609, 513, 5614, 2282, 519, 589, 889, 1248, 631, 6416, 269, 634, 6149, 2679, 729, 8246, 607, 513, 5614, 5264, 689, 5111, 476, 8687, 276, 547, 476, 5908, 271, 267, 950, 621, 729, 9168, 547, 513, 8602, 5264, 269, 589, 5198, 3118, 729, 2663, 9112, 547, 8756, 1216, 547, 589, 889, 1248, 623, 1180, 563, 763, 9998, 2497, 693, 476, 1240, 15709, 25834, 1185, 513, 27341, 1652, 2361, 7723, 5748, 7893, 476, 1321, 3952, 593, 1142, 2427, 267, 543, 513, 15839, 7127, 1900, 267, 543, 7902, 547, 1599, 607, 513, 5614, 5264, 585, 519, 12104, 3130, 540, 3536, 269, 589, 835, 20878, 5394, 11308, 512, 893, 729, 5116, 1472, 519, 9703, 540, 519, 6149, 6821, 547, 8756, 5614, 1216, 883, 513, 4496, 6952, 16935, 538, 519, 22703, 7944, 269, 2107, 337, 543, 2107, 337, 28756, 3293, 602, 513, 6659, 15839, 6989, 729, 1459, 538, 519, 2497, 779, 5805, 322, 822, 730, 4099, 269, 4826, 23012, 998, 513, 3046, 1042, 1989, 650, 593, 519, 1524, 24824, 2427, 267, 799, 4797, 538, 946, 1310, 22058, 725, 10736, 519, 2679, 883, 513, 8602, 5264, 269, 589, 3723, 540, 3037, 729, 5116, 936, 519, 3312, 6989, 267, 543, 513, 834, 312, 27324, 3333, 9464, 15839, 8963, 729, 1031, 547, 3560, 1216, 2047, 547, 519, 4009, 4401, 6952, 16935, 267, 689, 799, 513, 10612, 729, 8704, 547, 8756, 1216, 3544, 540, 519, 2497, 269, 589, 1007, 9206, 7723, 6989, 729, 2322, 1524, 267, 543, 513, 8602, 30344, 729, 8704, 538, 519, 22236, 7944, 267, 1141, 513, 4009, 10612, 729, 4092, 269, 589, 8523, 7000, 602, 519, 2679, 729, 726, 770, 1229, 267, 543, 1185, 513, 695, 532, 1194, 8122, 269, 634, 2679, 729, 14460, 538, 476, 4489, 276, 267, 950, 11255, 21818, 729, 8704, 538, 519, 589, 889, 1248, 631, 6416, 267, 543, 922, 2361, 7723, 6821, 941, 2663, 1031, 547, 4020, 513, 5397, 3118, 563, 7628, 519, 18001, 594, 5619, 538, 476, 3192, 278, 267, 2107, 337, 543, 12312, 14155, 730, 835, 1079, 8386, 26690, 20356, 1449, 1770, 538, 519, 22070, 7944, 540, 519, 2679, 267, 13031, 3670, 6030, 540, 2361, 7723, 1614, 3952, 2630, 519, 2666, 2627, 269, 1323, 3606, 1079, 8386, 26690, 20356, 1449, 1770, 729, 5116, 538, 519, 2497, 779, 9703, 267, 26500, 513, 6149, 6989, 693, 513, 3178, 540, 476, 1240, 6279, 269, 2107, 337, 543, 12312, 849, 5342, 18001, 4083, 13753, 693, 476, 1240, 15709, 25834, 538, 476, 3192, 280, 269, 9050, 512, 29168, 941, 14155, 730, 547, 1016, 31542, 693, 519, 15174, 540, 519, 2679, 267, 13902, 547, 519, 6821, 267, 543, 941, 9450, 547, 2263, 909, 547, 3368, 540, 1142, 3774, 269, 769, 1840, 267, 1079, 13374, 512, 29168, 941, 25653, 267, 835, 538, 4395, 540, 519, 7450, 3118, 543, 835, 5216, 3952, 7532, 540, 519, 22703, 7944, 269, 31854, 15572, 545, 6106, 941, 14155, 730, 14384, 267, 543, 782, 3037, 729, 29971, 998, 476, 272, 270, 279, 20878, 17450, 269, 634, 18001, 4083, 7634, 14155, 730, 5111, 476, 2004, 260, 540, 519, 3135, 1354, 621, 729, 12617, 585, 519, 12242, 1436, 540, 772, 2529, 269, 27953, 476, 1428, 563, 288, 2698, 540, 476, 278, 267, 279, 1428, 13742, 941, 16626, 1282, 519, 13753, 693, 519, 595, 6737, 551, 514, 30166, 864, 11354, 5264, 20324, 987, 5264, 24250, 864, 3118, 13505, 269, 3203, 604, 716, 2079, 729, 1031, 5097, 547, 4266, 1808, 22058, 725, 547, 519, 2497, 543, 547, 5581, 519, 2238, 602, 7018, 693, 519, 3135, 563, 9209, 604, 9711, 4266, 519, 4070, 540, 519, 5614, 5264, 547, 519, 2038, 476, 866, 628, 2540, 267, 543, 3769, 3688, 799, 616, 2808, 547, 581, 1599, 958, 1644, 547, 922, 2238, 269, 9050, 4627, 543, 15823, 17375, 521, 615, 1091, 267, 6580, 689, 524, 269, 9264, 271, 2275, 269, 5908, 271, 267, 1331, 1977, 6149, 2264, 543, 552, 691, 1156, 2264, 8043, 267, 543, 513, 1804, 2179, 540, 4483, 268, 2745, 539, 543, 4544, 543, 3039, 7387, 24737, 3022, 27081, 342, 4100, 543, 3043, 342, 4100, 269, 634, 5354, 540, 519, 17375, 521, 615, 1091, 616, 10051, 5829, 3649, 637, 8204, 8286, 543, 5186, 4242, 585, 1426, 4859, 543, 12104, 3130, 269, 11629, 1116, 11935, 267, 971, 607, 18969, 267, 29147, 267, 543, 15839, 15998, 267, 941, 849, 1455, 563, 763, 7503, 547, 513, 8602, 5264, 568, 10423, 538, 519, 13742, 6580, 689, 519, 2034, 3368, 540, 519, 476, 866, 628, 2540, 269, 590, 4869, 8696, 2347, 20398, 543, 513, 1804, 1297, 540, 1688, 2173, 1245, 539, 15839, 15998, 941, 4362, 538, 519, 6445, 602, 11506, 519, 6149, 6989, 269, 4033, 11265, 11935, 3769, 9206, 7723, 838, 8712, 267, 18969, 267, 27341, 267, 543, 29147, 269, 595, 10984, 923, 543, 4837, 11480, 15998, 849, 18584, 689, 519, 3735, 476, 866, 628, 2540, 563, 763, 595, 6737, 551, 514, 30166, 864, 19475, 14635, 814, 1044, 5258, 883, 2185, 2127, 676, 15456, 3135, 1297, 281, 519, 5853, 787, 630, 1240, 15709, 17168, 5148, 519, 11354, 5264, 20324, 987, 5264, 24250, 864, 3118, 630, 1240, 15709, 25834, 5148, 519, 11412, 1676, 8738, 10118, 630, 1240, 15709, 26825, 5148, 543, 519, 14295, 344, 5600, 630, 1240, 15709, 27844, 1040, 22731, 5638, 585, 782, 2185, 4609, 616, 8766, 267, 855, 1346, 602, 2291, 616, 538, 1434, 2783, 267, 609, 2370, 13897, 543, 28969, 269, 634, 4015, 568, 7768, 540, 2185, 4484, 13355, 31150, 804, 4461, 17850, 338, 267, 835, 16136, 1242, 26456, 267, 543, 835, 3561, 5066, 563, 2750, 322, 822, 566, 5638, 585, 476, 1240, 15709, 17168, 2874, 540, 3232, 2361, 13746, 267, 4566, 267, 543, 12632, 269, 1358, 723, 1044, 6896, 676, 1032, 540, 26995, 630, 3192, 280, 543, 476, 2735, 272, 1040, 1280, 519, 476, 3192, 280, 14155, 725, 267, 1152, 8370, 4183, 3029, 616, 1459, 269, 2353, 824, 5638, 723, 1044, 1085, 10165, 607, 1547, 14457, 6119, 267, 2139, 2228, 855, 711, 3406, 762, 269, 1358, 1331, 4566, 24579, 325, 3796, 267, 9126, 543, 8523, 20743, 267, 4282, 1382, 267, 15038, 7933, 3704, 5638, 267, 4967, 593, 519, 16935, 2481, 267, 16136, 1242, 7851, 267, 543, 824, 3765, 3250, 1415, 269, 1703, 616, 1079, 5359, 593, 519, 5853, 787, 3135, 281, 16329, 1670, 19196, 822, 725, 693, 13505, 476, 1240, 15709, 17168, 595, 6737, 551, 514, 267, 15930, 630, 300, 559, 1676, 476, 3192, 280, 1070, 543, 589, 7797, 593, 519, 19196, 822, 566, 540, 606, 1323, 322, 16736, 9351, 630, 306, 924, 476, 1240, 15709, 17168 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 9406, 9255, 1280, 15531, 634, 9406, 18370, 14033, 1411, 2336, 1492, 1655, 17970, 1995, 1775, 4312, 1185, 538, 562, 26338, 538, 1296, 256, 1775, 729, 3168, 585, 513, 1747, 602, 1705, 2182, 15074, 543, 1185, 737, 17671, 10768, 17702, 15074, 18969, 1135, 8460, 543, 713, 1747, 568, 621, 269, 3094, 22448, 5059, 593, 782, 519, 3877, 543, 729, 2731, 9543, 609, 1250, 18969, 543, 1500, 803, 1745, 6899, 6998, 585, 4376, 1114, 269, 2759, 1834, 543, 17970, 1416, 729, 3769, 543, 519, 3902, 1448, 568, 1390, 269, 1775, 4769, 1405, 1205, 513, 1374, 855, 972, 781, 513, 2603, 540, 1374, 3681, 543, 786, 1219, 581, 3478, 513, 1374, 1985, 942, 269, 1775, 3513, 1152, 581, 4947, 1934, 585, 1631, 593, 856, 2336, 30706, 2094, 594, 1336, 28001, 715, 841, 6428, 517, 267, 594, 4076, 1044, 513, 10121, 6075, 543, 2760, 6743, 693, 1776, 17970, 2892, 517, 269, 1358, 5838, 11108, 2164, 1169, 942, 594, 6557, 972, 267, 543, 1250, 18969, 18923, 12740, 1310, 476, 275, 4374, 540, 2348, 15074, 593, 269, 594, 993, 1360, 967, 1815, 529, 633, 950, 621, 2501, 547, 1018, 4778, 594, 1616, 267, 855, 3025, 779, 1044, 2706, 8383, 908, 543, 4152, 4778, 856, 2394, 594, 1265, 835, 594, 899, 256, 7981, 7064, 585, 24981, 585, 8383, 908, 2063, 8792, 543, 2484, 856, 2104, 31681, 267, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 310, 895, 5516, 5004, 257, 607, 851, 540, 834, 25503, 1315, 20466, 2657, 7896, 1315, 8447, 10657, 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, 8702, 547, 938, 3552, 3014, 5986, 7045, 256, 1411, 1522, 581, 11842, 267, 1018, 568, 3552, 3014, 286, 4270, 267, 1589, 540, 782, 1346, 2831, 602, 2661, 856, 538, 2470, 267, 899, 13650, 267, 17544, 267, 543, 1256, 25277, 256, 4658, 723, 1044, 10122, 891, 2831, 585, 5215, 540, 1296, 267, 1210, 1169, 3787, 540, 873, 547, 7639, 269, 4653, 267, 649, 1869, 6968, 930, 540, 891, 7068, 267, 855, 1631, 649, 849, 3434, 873, 909, 883, 8949, 6980, 2439, 3086, 267, 1577, 781, 2911, 827, 1946, 3552, 3014, 568, 2027, 269, 5620, 596, 2479, 4862, 2576, 2161, 602, 1945, 16919, 834, 18524, 344, 22172, 2334, 1797, 621, 814, 513, 2189, 8137, 602, 781, 1114, 689, 3484, 268, 571, 2213, 16469, 269, 2368, 1004, 2648, 602, 2178, 6492, 267, 1247, 1866, 4782, 7646, 518, 10366, 269, 23657, 1259, 267, 621, 781, 1187, 547, 2119, 1007, 1919, 543, 3605, 707, 1378, 7375, 2439, 6524, 11362, 883, 10346, 267, 972, 616, 1079, 1898, 4388, 585, 5986, 3552, 3014, 269, 3689, 267, 3314, 602, 3552, 3014, 6091, 960, 9875, 982, 3484, 539, 3662, 6091, 1317, 789, 887, 600, 11884, 269, 901, 2306, 519, 5779, 27162, 615, 267, 865, 3500, 5986, 2409, 693, 2539, 5210, 616, 1655, 269, 19627, 267, 2094, 3552, 3014, 3884, 1405, 29253, 2407, 540, 11216, 610, 824, 21187, 899, 12051, 1922, 28534, 5779, 267, 621, 2115, 3063, 1416, 547, 3251, 4195, 269, 11408, 1832, 3552, 3014, 14023, 730, 2394, 596, 2811, 4712, 547, 3434, 621, 267, 543, 2760, 4734, 2451, 13569, 9361, 856, 1932, 1279, 780, 5649, 344, 547, 1376, 5986, 286, 2913, 781, 2263, 1614, 11599, 6237, 1977, 8286, 10023, 3552, 3014, 281, 9006, 2581, 31625, 689, 7147, 267, 15529, 12403, 689, 17039, 267, 543, 19323, 9098, 29160, 269, 3962, 11600, 8711, 2241, 5820, 267, 2653, 2553, 267, 543, 2686, 4296, 547, 948, 596, 1174, 875, 1426, 9356, 1686, 543, 2245, 780, 272, 269, 10469, 2581, 932, 8270, 630, 307, 1410, 553, 13910, 994, 309, 523, 2581, 568, 10709, 2699, 5779, 2147, 547, 14132, 267, 1818, 621, 3501, 585, 2295, 344, 5162, 27130, 543, 12403, 338, 269, 769, 7147, 267, 31625, 568, 3978, 1870, 1765, 810, 10544, 707, 10800, 24742, 11058, 543, 1577, 781, 1205, 3323, 2439, 28808, 19263, 912, 1892, 476, 273, 7273, 2666, 9006, 2581, 454, 1892, 476, 273, 512, 26138, 10448, 3282, 454, 1892, 476, 272, 1804, 22323, 267, 22872, 454, 1892, 476, 275, 804, 7174, 13342, 267, 1295, 1027, 454, 1892, 476, 273, 23691, 8459, 10365, 267, 27071, 543, 32092, 539, 454, 1892, 476, 272, 666, 16760, 14274, 630, 2764, 12063, 994, 1892, 476, 273, 11680, 14132, 26185, 454, 1892, 476, 274, 512, 26138, 31625, 8869, 454, 1892, 476, 272, 512, 4944, 2666, 524, 6058, 454, 1892, 17865, 543, 14723, 547, 6492, 692, 9743, 15297, 912, 272, 269, 14333, 3282, 936, 5420, 3002, 538, 513, 1804, 1494, 269, 5410, 19637, 543, 1094, 583, 2946, 2394, 21352, 539, 267, 1287, 13489, 538, 13342, 543, 3434, 585, 1776, 8792, 563, 273, 269, 595, 5300, 1076, 9006, 2581, 883, 519, 1494, 267, 8840, 6306, 1022, 25098, 607, 621, 536, 992, 985, 269, 667, 1778, 1055, 4430, 3170, 952, 2877, 563, 274, 269, 4495, 519, 5779, 568, 11273, 998, 267, 20057, 548, 538, 31625, 8869, 543, 524, 6058, 269, 17186, 1134, 547, 10359, 3388, 14961, 563, 275, 269, 32449, 538, 16760, 14274, 267, 14132, 26185, 267, 543, 10365, 269, 20780, 7848, 547, 513, 31652, 563, 276, 269, 21079, 3002, 547, 1970, 267, 3382, 519, 1494, 267, 543, 1450, 31625, 547, 19389, 9900, 585, 693, 2547, 476, 3445, 3764, 267, 28817, 12212, 269, 17897, 609, 6070, 543, 14723, 1354, 7674, 563, 277, 269, 31160, 3905, 609, 8970, 30103, 610, 12475, 8759, 13365, 593, 519, 2427, 269, 17949, 707, 6809, 534, 21649, 2439, 273, 269, 595, 1690, 684, 31594, 19731, 630, 299, 537, 529, 10005, 13910, 994, 305, 629, 4226, 1031, 547, 581, 513, 1455, 7594, 1851, 8828, 3885, 1282, 2182, 2053, 269, 27009, 267, 21962, 2972, 4687, 741, 6952, 609, 12543, 543, 2828, 269, 8347, 713, 3636, 267, 4313, 532, 12403, 29689, 609, 2757, 11511, 1961, 10366, 2439, 28808, 19263, 912, 1892, 476, 272, 2898, 15529, 630, 12671, 476, 274, 7273, 1070, 2759, 883, 4773, 454, 1892, 476, 26528, 7484, 7912, 454, 1892, 476, 16006, 7484, 10448, 3282, 454, 1892, 476, 272, 1804, 22323, 267, 22872, 454, 1892, 476, 275, 26106, 802, 13767, 2044, 267, 30000, 454, 1892, 476, 272, 3039, 11350, 14723, 267, 6079, 539, 543, 22872, 454, 1892, 476, 275, 804, 7174, 13342, 267, 1295, 1027, 454, 1892, 476, 275, 11680, 9269, 6006, 454, 1892, 476, 272, 666, 546, 5367, 14274, 630, 1691, 269, 276, 12063, 994, 1892, 476, 273, 15922, 3762, 454, 1892, 476, 272, 512, 4944, 12015, 16815, 1889, 454, 1892, 476, 272, 512, 4944, 13099, 27996, 454, 1892, 17865, 543, 3109, 14723, 547, 6492, 454, 1892, 12182, 14036, 630, 28436, 2020, 9743, 15297, 912, 272, 269, 667, 1042, 613, 1142, 4062, 540, 15529, 538, 7912, 267, 24373, 1055, 4430, 269, 5590, 11735, 563, 273, 269, 24953, 3282, 538, 513, 10656, 14089, 936, 5420, 30041, 3002, 269, 9466, 15529, 4773, 538, 10627, 2583, 282, 4483, 536, 27547, 4773, 547, 513, 6676, 2899, 11344, 563, 274, 269, 590, 2246, 2946, 5388, 630, 21955, 13342, 264, 538, 6967, 3282, 2394, 13035, 269, 3973, 13489, 538, 13342, 543, 3434, 585, 1776, 8792, 563, 275, 269, 14109, 30257, 4005, 902, 936, 19787, 267, 11544, 8499, 269, 20405, 569, 13248, 538, 9269, 6006, 1247, 16150, 532, 5377, 540, 3443, 547, 2554, 331, 10270, 563, 276, 269, 17776, 15529, 547, 1494, 2059, 609, 546, 5367, 14274, 543, 15922, 3762, 269, 3244, 1067, 20114, 585, 5111, 835, 5662, 610, 2394, 15529, 3587, 23643, 2389, 2658, 563, 277, 269, 17179, 15922, 3762, 267, 4188, 4005, 902, 267, 543, 4196, 7258, 7573, 610, 12933, 344, 3694, 269, 10426, 3905, 14036, 693, 519, 3349, 585, 3773, 1990, 652, 2439, 274, 269, 645, 8898, 9098, 8293, 597, 7758, 454, 306, 9595, 7758, 949, 3100, 8966, 547, 930, 267, 855, 29630, 1014, 13896, 16941, 8185, 593, 713, 10731, 4199, 269, 2060, 922, 5743, 6853, 2960, 543, 5848, 9703, 267, 19323, 29160, 3091, 513, 17175, 4244, 547, 16738, 780, 28808, 19263, 912, 1892, 476, 273, 2898, 25277, 630, 12671, 476, 273, 7273, 2698, 1070, 19345, 543, 14415, 1229, 454, 1892, 476, 272, 7484, 855, 3410, 20488, 454, 1892, 476, 272, 476, 16006, 11680, 1582, 8573, 2358, 7912, 454, 1892, 476, 272, 512, 4944, 6070, 454, 1892, 476, 272, 512, 4944, 13342, 8869, 454, 1892, 476, 272, 512, 4944, 22323, 8869, 454, 1892, 476, 272, 512, 4944, 13099, 27996, 454, 1892, 4563, 14723, 547, 6492, 454, 1892, 17164, 762, 3282, 585, 31068, 692, 9743, 15297, 912, 272, 269, 4427, 1067, 613, 29160, 4773, 538, 855, 3410, 20488, 282, 2261, 3729, 16074, 538, 519, 26806, 563, 273, 269, 2776, 17742, 14089, 547, 476, 23841, 13790, 630, 5002, 9180, 1040, 13983, 848, 513, 476, 280, 343, 1724, 10759, 11256, 8670, 563, 274, 269, 28799, 3819, 5820, 538, 513, 13719, 12826, 269, 3213, 520, 1142, 4062, 540, 29160, 14961, 609, 7912, 7848, 563, 275, 269, 19130, 513, 2620, 1236, 32576, 28870, 609, 10448, 3282, 282, 3002, 936, 5420, 30041, 18723, 2394, 695, 20810, 532, 563, 276, 269, 1744, 820, 1055, 4430, 7912, 689, 29160, 20453, 543, 5402, 1747, 873, 538, 12699, 3282, 269, 674, 787, 2394, 11344, 6960, 593, 1312, 5011, 563, 277, 269, 18734, 22304, 29160, 547, 5423, 11256, 8670, 267, 25786, 4773, 2879, 1872, 569, 538, 513, 2582, 4494, 269, 15147, 29101, 609, 23240, 563, 278, 269, 645, 820, 585, 476, 3393, 3764, 267, 9427, 23240, 1310, 476, 1789, 3764, 547, 1450, 25568, 547, 26546, 563, 279, 269, 31160, 5612, 609, 11792, 1117, 12277, 610, 8970, 22596, 22635, 30103, 269, 5548, 5534, 1145, 19179, 1080, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1432, 568, 621, 827, 6529, 5515, 602, 3622, 2408, 547, 1118, 721, 14902, 286, 1772, 621, 519, 4674, 16531, 540, 519, 23477, 286, 12344, 519, 9644, 3622, 5526, 547, 979, 609, 519, 4731, 333, 712, 1639, 23877, 286, 3143, 2339, 1018, 519, 7778, 267, 4197, 519, 25529, 10632, 674, 1066, 5414, 1107, 5131, 5680, 1759, 717, 5446, 15080, 3014, 15670, 2228, 616, 7487, 513, 21782, 538, 1719, 538, 741, 1863, 3014, 7418, 269, 2037, 1120, 2045, 18793, 666, 3643, 891, 4609, 267, 4945, 593, 513, 11080, 2140, 602, 8395, 1132, 873, 267, 543, 2253, 4730, 1318, 2476, 269, 589, 1804, 6712, 540, 519, 5647, 1271, 547, 2196, 891, 3756, 568, 19658, 676, 519, 4890, 18353, 267, 865, 621, 538, 513, 1483, 2631, 568, 513, 968, 7257, 1154, 543, 1404, 892, 3510, 2507, 8197, 267, 1447, 519, 13613, 267, 15069, 269, 8616, 267, 950, 596, 1205, 4448, 547, 713, 11080, 2872, 267, 596, 786, 6385, 1294, 519, 2601, 1946, 865, 1082, 32266, 616, 851, 1136, 538, 519, 1863, 1357, 2861, 5933, 538, 811, 29810, 2338, 269, 8489, 1684, 1452, 10632, 22067, 3245, 286, 763, 1357, 1759, 11080, 2199, 1858, 568, 9247, 8659, 513, 1804, 1297, 540, 9367, 267, 24990, 2437, 780, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 2910, 19170, 1315, 13636, 1299, 8836, 1315, 1977, 1315, 4937, 1315, 8187, 10794, 18181, 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, 769, 2487, 1296, 267, 972, 814, 1044, 3395, 1719, 543, 7521, 4478, 519, 10167, 540, 5841, 4987, 630, 9590, 264, 543, 3909, 7881, 269, 901, 19427, 12651, 1950, 2055, 827, 519, 2470, 540, 8103, 267, 9637, 267, 13919, 267, 543, 2820, 6541, 269, 1306, 3642, 1949, 1831, 5051, 10427, 267, 789, 4161, 2757, 3909, 4978, 543, 2853, 1247, 849, 5356, 1007, 3255, 585, 5289, 4082, 543, 5683, 8086, 269, 769, 713, 1576, 1770, 267, 649, 786, 2263, 891, 2152, 538, 3178, 267, 5373 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 10985, 454, 268, 476, 275, 628, 7981, 1399, 10985, 593, 26066, 267, 6480, 4231, 543, 5510, 17060, 7177, 1315, 476, 275, 11726, 1889, 16016, 26408, 1512, 773, 524, 20110, 16210, 27056, 1696, 679, 2113, 24586, 17535, 454, 268, 476, 274, 6113, 7981, 1399, 10985, 593, 7698, 7177, 1299, 11930, 23317, 1315, 476, 274, 324, 4762, 2946, 5270, 838, 2946, 1017, 529, 19902, 1147, 682, 575, 2946, 22448, 964, 1319, 2946, 686, 14513, 1696, 803, 4754, 1664, 3365, 1172, 19902, 454, 268, 476, 275, 628, 14716, 7981, 1399, 10985, 1315, 476, 275, 324, 4762, 2946, 5270, 838, 2946, 1017, 529, 19902, 1147, 3288, 4070, 454, 268, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 570, 22379, 1299, 22957, 1315, 11982, 1315, 17667, 1315, 17667, 28814, 5004, 4635, 3642, 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, 5272, 10732, 12784, 267, 1325, 20811, 1223, 581, 1336, 14598, 3481, 936, 1200, 10051, 3349, 267, 11303, 676, 25985, 540, 2025, 17002, 1957, 269, 2060, 632, 1111, 3946, 543, 513, 1543, 539, 12837, 267, 1352, 9927, 23987, 9212, 883, 16517, 2370, 711, 788, 6758, 585, 1200, 2828, 269, 3962, 4062, 540, 4484, 13355, 1957, 729, 23939, 25649, 1614, 2053, 1354, 1373, 30000, 2059, 519, 8728, 547, 1711, 5216, 1507, 4063, 4574, 269, 1452, 20538, 25704, 941, 1287, 16432, 883, 22619, 344, 588, 2931, 543, 3728, 2989, 1927, 609, 1079, 3972, 344, 25411, 1255, 780, 3080, 13566, 14349, 6640, 267, 607, 1325, 20811, 5423, 1200, 12353, 6728, 2044, 16801, 267, 1200, 1655, 3659, 23183, 11074, 676, 585, 606, 791, 668, 696, 340, 3643, 269, 3502, 6005, 519, 5432, 6429, 267, 23183, 4280, 827, 1325, 20811, 781, 2189, 15908, 269, 2271, 29098, 267, 1325, 20811, 23362, 3838, 1200, 6612, 585, 909, 19464, 729, 339, 788, 1653, 1247, 11744, 875, 3362, 621, 2968, 3730, 711, 788, 1653, 780, 257, 2080, 2437, 1767, 1325, 20811, 267, 1688, 532, 23183, 513, 28448, 1500, 14950, 269, 834, 2521, 1603, 593, 713, 1701, 28438, 31394, 609, 7279, 267, 23183, 7608, 519, 10516, 543, 31163, 16940, 1524, 930, 4555, 269, 2991, 11423, 1896, 3817, 267, 1352, 6743, 909, 693, 1325, 20811, 267, 24330, 780, 257, 32452, 256, 901, 7959, 1175, 899, 2834, 1957, 855, 6616, 594, 6415, 4543, 4688, 4054, 2306, 803, 1745, 1434, 10590, 608, 13094, 23183, 269, 22628, 1200, 3659, 781, 15131, 267, 1325, 20811, 6700, 267, 834, 2791, 917, 1018, 286, 4208, 1810, 1405, 596, 1491, 713, 2898, 711, 788, 611, 1753, 543, 946, 621, 2429, 707, 3018, 12482, 300, 807, 25747, 8815, 267, 2921, 1416, 547, 4558, 1200, 1007, 14951, 9108, 538, 1200, 9126, 269, 3683, 519, 1985, 1906, 2395, 267, 23183, 8246, 519, 711, 788, 611, 29367, 910, 795, 31857, 17365, 8638, 267, 26004, 15737, 267, 1256, 11516, 4221, 856, 2093, 1282, 23730, 7886, 693, 960, 269, 1635, 13628, 10543, 267, 1152, 4557, 10145, 3817, 7283, 269, 2201, 11016, 267, 2705, 267, 1945, 6397, 5949, 282, 3079, 540, 8757, 585, 1200, 11537, 10357, 7888, 711, 788, 611, 267, 23183, 15534, 332, 14800, 569, 13603, 909, 513, 20202, 4063, 689, 1200, 11380, 2721, 518, 543, 1085, 3863, 1194, 1200, 547, 28273, 1592, 2066, 922, 23287, 2627, 780, 4002, 14349, 267, 950, 1325, 20811, 1572, 547, 2638, 593, 23183, 781, 1995, 609, 519, 711, 788, 611, 267, 1352, 4121, 827, 519, 6467, 269, 1703, 729, 16563, 585, 513, 4090, 1354, 1325, 20811, 9900, 18056, 1200, 3659, 540, 519, 2956, 540, 6857, 5079, 269, 834, 8855, 267, 1169, 3375, 12523, 267, 1100, 2339, 875, 28971, 621, 949, 3100, 2437, 1352, 15695, 780, 30342, 16944, 2943, 5462, 267, 23183, 12247, 539, 547, 2132, 547, 1210, 519, 4264, 711, 788, 611, 269, 17610, 2614, 267, 676, 11728, 3781, 267, 782, 519, 6967, 3817, 1185, 1044, 4904, 609, 10477, 546, 22751, 267, 2295, 325, 3881, 6965, 267, 543, 16367, 18759, 1107, 6169, 540, 23183, 781, 17105, 7029, 2509, 6940, 780, 1103, 519, 1439, 267, 519, 6292, 4362, 3407, 1272, 4245, 281, 7446, 11009, 666, 1291, 547, 1732, 6208, 267, 543, 3006, 267, 938, 7340, 6888, 5713, 607, 513, 9543, 12576, 547, 3251, 3020, 547, 938, 3741, 269, 4107, 11932, 267, 789, 7691, 602, 4687, 971, 2833, 27838, 4514, 4296, 1063, 1004, 543, 19430, 873, 547, 2015, 519, 678, 21451, 2360, 540, 741, 4948, 3527, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 2108, 2704, 20811, 1031, 23987, 1957, 547, 1118, 711, 788, 6758, 585, 1200, 2828, 269, 2701, 1131, 16784, 476, 276, 4773, 540, 4484, 20695, 1957, 476, 274, 2053, 1287, 2759, 2059, 519, 8728, 547, 1106, 4130, 4063, 4574, 269, 2701, 1131, 1287, 10518, 891, 4130, 4063, 4574, 543, 20013, 873, 1927, 269, 1215, 1279, 1131, 476, 272, 711, 788, 611, 2063, 952, 2576, 5206, 476, 1015, 4967, 829, 1554, 888, 2704, 20811, 26642, 476, 276, 4773, 540, 4484, 20695, 1957, 476, 274, 2053, 267, 865, 1142, 25649, 1957, 5932, 476, 273, 317, 274, 815, 476, 279, 4130, 4063, 4574, 563, 11997, 267, 1142, 711, 788, 611, 3568, 476, 279, 1535, 476, 276, 815, 476, 2412, 4130, 4063, 4574, 563, 2252, 2576, 11339, 476, 1015, 4967, 829, 1554, 267, 1287, 476, 272, 711, 788, 611, 1131, 2063, 476, 2412, 270, 1015, 815, 476, 275, 2395, 563, 2971, 476, 275, 454, 763, 2626, 568, 281, 476, 275, 10640, 763, 1650, 1058, 11200, 998, 519, 3197, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 269, 634, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 2026, 2576, 1007, 547, 713, 4541, 267, 649, 1174, 602, 3388, 1522, 3100, 14542, 267, 865, 649, 3513, 3391, 596, 998, 1169, 1900, 609, 9639, 543, 9355, 780, 1262, 3721, 476, 272, 281, 4197, 1548, 513, 13773, 322, 566, 1772, 4373, 288, 13773, 322, 566, 568, 950, 596, 1491, 942, 1055, 689, 3232, 13467, 547, 6001, 267, 723, 1187, 267, 543, 3605, 2199, 18845, 1369, 6972, 3845, 610, 513, 2110, 5397, 689, 707, 1699, 4087, 630, 6518, 649, 3513, 3277, 547, 607, 707, 834, 24610, 3490, 20257, 898, 781, 899, 2921, 513, 9910, 8686, 659, 566, 267, 855, 3079, 540, 10707, 547, 1776, 2749, 610, 2197, 267, 596, 1445, 593, 3695, 1018, 781, 7404, 2439, 5331, 2348, 513, 1906, 2395, 1863, 689, 9021, 267, 1141, 596, 666, 7938, 785, 267, 2119, 1007, 1919, 267, 543, 1205, 5432, 609, 519, 1858, 1472, 707, 1753, 3490, 269, 2334, 781, 4010, 1018, 513, 13773, 322, 566, 3091, 2439, 1262, 3721, 476, 273, 281, 27759, 2659, 5851, 12476, 4373, 6524, 4358, 707, 7045, 267, 1118, 2386, 707, 2713, 2230, 568, 6899, 543, 18136, 269, 901, 786, 581, 707, 18956, 1310, 513, 1554, 540, 3408, 780, 265, 2878, 27662, 17349, 5093, 6875, 930, 942, 547, 22619, 344, 909, 707, 1753, 3490, 676, 8380, 2476, 1022, 804, 13616, 267, 1818, 707, 5127, 267, 543, 530, 31441, 1524, 7252, 269, 1411, 1616, 547, 1745, 17159, 543, 18589, 1117, 2390, 13059, 563, 265, 2878, 4467, 13025, 1530, 908, 5093, 3550, 596, 723, 513, 18241, 5544, 547, 1694, 267, 1964, 267, 543, 22507, 269, 1403, 2877, 267, 10544, 3063, 10788, 3298, 267, 29198, 267, 610, 4188, 519, 8654, 547, 1711, 513, 25695, 5790, 563, 265, 2878, 27409, 2931, 543, 3220, 3855, 5093, 14351, 909, 593, 707, 5172, 13000, 543, 16098, 547, 1832, 1648, 2157, 1164, 2429, 707, 13773, 322, 566, 269, 1411, 666, 1256, 5965, 2241, 6980, 610, 16152, 6619, 540, 942, 547, 4688, 942, 1282, 707, 9397, 780, 1262, 3721, 476, 274, 281, 12020, 2659, 11242, 4373, 3086, 621, 781, 942, 547, 6430, 875, 596, 9364, 899, 547, 6108, 707, 13773, 322, 566, 256, 6056, 827, 1018, 4690, 596, 1384, 265, 2878, 26222, 5900, 10330, 5093, 3194, 7404, 11614, 267, 15882, 267, 26847, 267, 21056, 267, 610, 3140, 4609, 1210, 3457, 1572, 834, 28669, 619, 257, 610, 834, 10746, 1701, 1452, 9589, 2645, 1921, 547, 1945, 1572, 519, 834, 514, 1181, 564, 2437, 799, 2488, 5318, 5666, 540, 1344, 693, 707, 31840, 2336, 453, 266, 7392, 17161, 1644, 547, 707, 4690, 883, 3406, 9817, 899, 5616, 630, 324, 3052, 1421, 834, 1706, 802, 2282, 803, 257, 610, 834, 332, 13952, 538, 1496, 20365, 2749, 316, 257, 1916, 453, 266, 25873, 7270, 267, 8039, 267, 543, 16863, 547, 1265, 13267, 3681, 563, 265, 2878, 11073, 21830, 8342, 5093, 6333, 2238, 899, 912, 453, 266, 29303, 610, 19482, 454, 453, 266, 20676, 532, 630, 9767, 666, 10519, 21891, 952, 2877, 994, 453, 266, 20266, 333, 10107, 630, 17569, 1426, 543, 10425, 538, 11149, 1500, 540, 2326, 899, 1957, 267, 5068, 267, 610, 5958, 994, 453, 266, 6250, 1746, 4620, 7888, 2127, 547, 2170, 609, 24566, 2828, 454, 265, 2878, 5715, 3233, 5548, 2074, 5093, 10812, 912, 453, 266, 1473, 3233, 10918, 7740, 630, 21406, 544, 8712, 264, 10023, 1585, 8637, 9513, 7802, 267, 17960, 267, 543, 6204, 1597, 15077, 454, 453, 266, 23905, 5356, 2835, 267, 2923, 267, 543, 9602, 5624, 454, 453, 266, 28414, 519, 11596, 6029, 8874, 593, 1804, 13819, 609, 3280, 1949, 454, 453, 266, 8274, 3014, 22538, 525, 610, 9101, 11623, 585, 1514, 1944, 543, 9913, 692, 8620, 513, 1592, 540, 2238, 602, 10161, 596, 267, 26724, 1346, 14191, 547, 707, 1753, 3490, 547, 7413, 2951, 942, 780, 1262, 3721, 476, 275, 281, 3955, 716, 532, 609, 18972, 4373, 7628, 707, 13773, 322, 566, 267, 596, 949, 7237, 3425, 2469, 827, 741, 3232, 2729, 269, 5213, 1405, 5855, 282, 789, 2097, 538, 4708, 256, 3371, 616, 930, 1898, 4388, 585, 15025, 609, 873, 1384, 265, 2878, 294, 22901, 902, 5093, 1879, 16042, 1866, 267, 946, 11913, 26250, 902, 899, 834, 15916, 10590, 610, 834, 17098, 10590, 10483, 676, 513, 7874, 12837, 269, 901, 2982, 2463, 543, 3659, 17349, 563, 265, 2878, 28694, 5678, 5093, 19321, 1930, 14302, 267, 4608, 1484, 532, 7916, 543, 7555, 20005, 547, 6655, 6015, 543, 1935, 1464, 563, 265, 2878, 292, 6614, 13555, 5093, 5269, 5618, 3750, 3346, 1247, 6340, 267, 1287, 1413, 2476, 12212, 547, 2057, 31325, 269, 901, 2337, 1628, 3972, 543, 9727, 1719, 538, 7391, 563, 265, 2878, 21995, 1912, 29320, 5093, 6258, 1455, 2453, 899, 834, 14188, 596, 2437, 834, 2750, 322, 2224, 803, 2437, 543, 834, 28989, 257, 547, 1397, 2184, 8864, 543, 7156, 563, 265, 2878, 8266, 2287, 5093, 9796, 3007, 547, 1018, 1866, 2161, 267, 12162, 3429, 707, 2212, 610, 14775, 609, 5618, 8292, 547, 6542, 1620, 780, 8855, 267, 3425, 1871, 11587, 267, 6568, 267, 543, 16614, 2792, 269, 2142, 3054, 267, 2307, 2055, 267, 543, 1810, 1405, 19292, 547, 3343, 948, 950, 2877, 2439, 1262, 3721, 476, 276, 281, 15775, 15907, 15822, 569, 4373, 2691, 5887, 1005, 856, 267, 4225, 3106, 1384, 265, 2878, 310, 22736, 5093, 25529, 547, 11280, 31355, 10092, 267, 2427, 19789, 802, 267, 543, 3444, 19789, 802, 269, 6733, 1312, 2081, 1354, 15385, 10754, 267, 1739, 6808, 6786, 543, 4191, 563, 265, 2878, 14276, 18815, 5093, 2422, 21772, 267, 14884, 267, 610, 1016, 1811, 13234, 676, 6283, 8128, 269, 7427, 16131, 267, 1129, 720, 267, 543, 5528, 3177, 676, 10256, 610, 6728, 5234, 563, 265, 2878, 305, 728, 27691, 2130, 7896, 5093, 14992, 899, 772, 828, 610, 10370, 1111, 2709, 26055, 3842, 4357, 6472, 9141, 676, 13931, 12427, 269, 8281, 8924, 267, 1305, 4584, 1575, 6753, 267, 543, 1246, 11878, 3877, 5402, 780, 29490, 3251, 10332, 267, 3222, 540, 707, 10450, 267, 543, 3972, 707, 26756, 269, 1403, 4743, 11552, 6470, 267, 2132, 547, 707, 1753, 3490, 610, 3343, 6351, 689, 6392, 5515, 899, 7128, 10492, 780, 1262, 6962, 4373, 23558, 267, 1007, 3659, 256, 2060, 891, 3268, 267, 596, 2811, 4712, 547, 7832, 593, 606, 20605, 13773, 322, 566, 1995, 269, 5457, 547, 10605 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 832, 267, 547, 2973, 909, 519, 30738, 2313, 9874, 667, 2967, 24734, 17437, 5295, 7233, 2094, 4728, 476, 1556, 267, 476, 1001, 272, 563, 274, 269, 634, 5545, 2229, 547, 10536, 5253, 24658, 6076, 1562, 543, 19940, 10610, 24658, 6076, 1562, 585, 2950, 1369, 476, 272, 267, 4335, 267, 1822, 4009, 21240, 540, 30738, 2313, 9874, 667, 2967, 24734, 17437, 5295, 7233, 29688, 898, 1058, 849, 16926, 4830, 4966, 945, 723, 1995, 543, 6325, 1382, 538, 1970, 9570, 5982, 4598, 19210, 525, 267, 971, 607, 3220, 269, 18281, 22084, 2421, 630, 27023, 881, 23122, 267, 3864, 9730, 593, 24658, 24093, 264, 543, 3744, 693, 5617, 2784, 267, 5617, 22654, 267, 547, 6895, 1453, 779, 1072, 563, 13126, 281, 2046, 27833, 2593, 3842, 620, 1182, 331, 831, 454, 268, 5682, 701, 864, 28787, 338, 5545, 570, 15711, 9564, 8750, 1412, 5825, 539, 585, 1733, 2718, 19510, 7055, 1103, 513, 26648, 14336, 566, 267, 3662, 2924, 15628, 5279, 602, 3567, 1031, 7482, 689, 922, 23329, 3146, 11734, 6578, 547, 13564, 1047, 922, 11786, 5993, 627, 2718, 10872, 563, 17471, 2825, 4585, 27594, 267, 5682, 701, 864, 267, 1767, 1472, 2485, 354, 273, 269, 274, 5479, 18121, 1789, 2929, 264, 729, 1031, 547, 2508, 3063, 3354, 3800, 585, 519, 6532, 2197, 781, 627, 2718, 18239, 267, 2687, 547, 513, 18917, 1867, 563, 1103, 2013, 2576, 1869, 14659, 602, 1775, 6415, 608, 4526, 908, 538, 547, 17058, 3105, 8292, 593, 519, 1641, 563, 268, 772, 11520, 12442, 476, 272, 11860, 753, 2967, 11272, 547, 16924, 9505, 631, 8811, 4821, 6046, 1770, 454, 265, 1744, 583, 6658, 568, 3106, 13390, 1081, 1310, 5594, 9402, 3579, 656, 24694, 454, 265, 3143, 4191, 540, 5982, 24694, 454, 265, 631, 8811, 4821, 476, 4335, 24448, 1770, 835, 540, 1152, 8370, 26119, 1869, 4881, 538, 3567, 630, 3849, 1091, 4282, 267, 3877, 994, 307, 10498, 312, 302, 267, 5463, 476, 278, 630, 3725, 26407, 264, 910, 918, 753, 2967, 11272, 5295, 3213, 786, 16924, 26699, 922, 631, 8811, 4821, 3143, 269, 476, 273, 6046, 19720, 607, 513, 3106, 13390, 1081, 1310, 621, 4362, 8966, 2157, 540, 3579, 656, 682, 1136, 689, 513, 11896, 3330, 519, 2270, 618, 6077, 267, 855, 972, 723, 1044, 1100, 5982, 20984, 267, 513, 2754, 22557, 2006, 1767, 593, 13723, 563, 297, 3253, 781, 2034, 28376, 1379, 10626, 1767, 519, 1966, 693, 519, 476, 4335, 19251, 1177, 3430, 19720, 538, 7262, 3567, 1185, 711, 4299, 2604, 3330, 519, 19720, 6077, 610, 519, 5106, 540, 519, 1770, 563, 268, 3567, 10312, 525, 8081, 593, 18831, 23977, 1676, 762, 547, 8693, 7827, 454, 291, 18076, 267, 3162, 4000, 267, 5463, 269, 476, 277, 630, 297, 25702, 4964, 264, 734, 297, 3253, 14129, 519, 991, 547, 1489, 3979, 543, 824, 3384, 2477, 602, 1223, 581, 16094, 4299, 676, 2916, 1689, 693, 606, 2680, 621, 4371, 13638, 593, 519, 521, 573, 3894, 540, 519, 5571, 772, 12991, 269, 2916, 1689, 12909, 1934, 563, 11045, 15659, 2477, 7925, 547, 2916, 1689, 568, 3567, 781, 834, 9008, 10862, 2437, 16549, 1695, 27323, 9710, 773, 267, 922, 5605, 26513, 585, 2518, 2825, 12602, 267, 1767, 538, 513, 4633, 693, 519, 2680, 563, 297, 3253, 1175, 13890, 741, 1870, 1544, 1299, 6990, 585, 562, 8123, 6455, 7903, 563, 268, 570, 7968, 4596, 2904, 590, 749, 26365, 12518, 547, 15147, 715, 4211, 5142, 529, 26959, 454, 27717, 14623, 267, 5463, 269, 476, 278, 630, 297, 25702, 4964, 264, 734, 27717, 14623, 11272, 5295, 3213, 269, 568, 6236, 9513, 1055, 922, 4540, 8143, 1379, 2371, 547, 3382, 3790, 540, 7829, 519, 6433, 693, 922, 30738, 2313, 9874, 3143, 269, 476, 272, 6046, 1379, 2030, 267, 621, 729, 4121, 13723, 563, 5445, 782, 2819, 4421, 519, 2842, 12741, 851, 540, 519, 2754, 269, 594, 3494, 602, 789, 616, 13816, 1359, 3002, 331, 1506, 7221, 547, 16173, 519, 2754, 543, 4734, 519, 27710, 16558, 609, 519, 3803, 3915, 269, 5221, 607, 649, 666, 1294, 1906, 4930, 1524, 267, 519, 1004, 5749, 1405, 3478, 1022, 540, 602, 834, 516, 18586, 257, 544, 821, 903, 563, 268, 670, 758, 330, 4660, 334, 17135, 547, 17776, 9796, 936, 28294, 1637, 540, 17437, 14358, 454, 306, 1952, 19660, 267, 5463, 269, 476, 278, 630, 297, 25702, 4964, 264, 734, 295, 758, 330, 4660, 334, 17135, 4498, 26619, 28635, 1695, 20076, 1767, 13723, 1352, 786, 2132, 851, 540, 1200, 2628, 547, 1491, 5539, 585, 513, 2199, 2229, 4013, 781, 9525, 538, 22392, 1857, 6644, 593, 6046, 1379, 563, 307, 752, 1695, 20076, 267, 17729, 1354, 519, 840, 2739, 1116, 10198, 267, 23294, 1242, 585, 519, 29317, 543, 1767, 1352, 786, 1491, 5539, 607, 17294, 563, 9515, 666, 1491, 5539, 607, 606, 538, 22940, 1862, 1200, 3527, 616, 593, 6292, 609, 6046, 6455, 543, 18735, 540, 6046, 9604, 269, 17776, 2628, 286, 3657, 596, 737, 4575, 888, 305, 17892, 630, 16838, 11894, 267, 585, 5601, 781, 19160, 264, 723, 1004, 538, 21569, 585, 3843, 547, 1159, 10212, 548, 607, 1396, 548, 607, 835, 6121, 540, 726, 583, 28016, 543, 1934, 649, 723, 513, 21173, 4807, 16550, 4108, 9604, 1826, 1843, 593, 519, 2551, 543, 1631, 1352, 1131, 2132, 513, 2628, 13765, 286, 594, 2219, 3567, 729, 606, 4890, 2197, 609, 513, 8647, 2229, 563, 5472, 1775, 1294, 1631, 568, 513, 554, 867, 324, 540, 6046, 13544, 1023, 8023, 689, 519, 1351, 335, 572, 540, 519, 26884, 4182, 563, 268, 29583, 1405, 562, 8123, 6433, 13180, 4808, 22309, 585, 3668, 540, 24117, 454, 291, 1170, 15384, 8351, 568, 678, 1057, 936, 1007, 4808, 6537, 909, 676, 513, 2229, 8470, 547, 3313, 13180, 11033, 585, 9601, 540, 519, 5571, 30738, 2313, 9874, 6046, 9568, 945, 18423, 2322, 610, 17355, 18050, 32380, 563, 15152, 519, 4808, 1305, 5463, 269, 476, 277, 1310, 3275, 540, 18064, 3130, 676, 519, 4065, 267, 9177, 267, 11846, 267, 3163, 543, 5303, 12080, 781, 2598, 335, 1393, 26532, 16624, 9730, 585, 17437, 28100, 3281, 18730, 267, 519, 13180, 2179, 585, 971, 9601, 786, 581, 1454, 2539, 982, 1018, 1004, 945, 17355, 18050, 896, 2229, 1931, 616, 1305, 547, 4309, 269, 634, 4890, 3790, 540, 27549, 543, 824, 9276, 786, 2417, 3467, 711, 581, 4988, 563, 4263, 519, 1439, 17355, 826, 525, 786, 1205, 513, 19420, 517, 585, 513, 1863, 31576, 5622, 1247, 519, 13180, 544, 821, 903, 786, 642, 4314, 883, 6094, 2011, 269, 570, 788, 1723, 1299, 3567, 2229, 616, 18071, 519, 10782, 2186, 540, 9746, 3673, 1143, 2479, 2938, 538, 519, 2413, 1158, 563, 1607, 568, 849, 547, 17058, 2376, 689, 519, 1482, 2707, 912, 268, 808, 4338, 3198, 281, 30738, 2313, 9874, 4600, 711, 1134, 6870, 1586, 338, 6046, 5982, 454, 13126, 281, 3377, 340, 22744, 1001, 271, 3842, 29221, 2784, 454, 17273, 476, 1321, 540, 476, 1626, 454, 7197, 9763, 5412, 454, 268, 3567, 267, 29722, 12788, 7234, 1804, 2179, 540, 796, 27665, 539, 16519, 562, 8123, 2326, 454, 268, 3683, 476, 5379, 273, 18265, 939, 638, 699, 3149, 30738, 2313, 9874, 1193, 2632, 1756, 538, 7414, 7909, 267, 1530, 2378, 797, 1981, 454, 268, 30738, 2313, 9874, 6481, 9697, 770, 23393, 910, 24796, 2836, 323, 545, 2714, 268, 774, 558, 19134, 10458, 910, 21512, 454, 268, 6481, 4750, 9137, 281, 476, 1691, 267, 1822, 772, 2529, 269, 12280, 338, 570, 1221, 547, 30738, 2313, 9874, 1234, 18503, 28155, 12096, 719, 454, 268, 24658, 7313, 2581, 532, 5794, 13871, 24658, 24619, 630, 4820, 476, 272, 540, 476, 273, 994, 268, 30738, 2313, 9874, 32495, 820, 631, 3437, 1530, 2378, 331, 3233, 21009, 513, 25624, 12197, 454, 268, 30738, 2313, 9874, 476, 3393, 9522, 14599, 1216, 13451, 1093, 11143, 5836, 454, 268, 19134, 10458, 281, 30738, 2313, 9874, 1862, 31549, 519, 3624, 15540, 1631, 13166, 13175, 888, 268, 18984, 1516, 3567, 910, 589, 17245, 674, 26097, 2776, 1613, 476, 13200, 509, 7430, 491, 418, 362, 489, 11210, 488, 20721, 354, 10951, 361, 22614, 479, 377, 14395, 367, 476, 12530, 487, 11210, 511, 12530, 354, 12530, 350, 12530, 367, 11210, 379, 12530, 359, 12530, 376, 454, 268, 18281, 22084, 2421, 281, 20676, 641, 1126, 543, 519, 2014, 540, 22787, 31096, 543, 2860, 538, 12925, 454, 268, 570, 7034, 32434, 13585, 30738, 2313, 9874, 14970, 1357, 8254, 454, 268, 1715, 1230, 24287, 4469, 1177, 5772, 1881, 538, 519, 645, 29949, 4460, 476, 272, 454, 268, 570, 7968, 4596, 814, 6976, 476, 26631, 269, 273, 5479, 586, 523, 538, 14796, 585, 6046, 6433, 454, 268, 715, 13612, 10088, 1407, 3689, 1715, 772, 2529, 269, 17437, 1234, 716, 832, 538, 476, 1789, 13012, 2560, 674, 7614, 4469, 9155, 769, 30738, 2313, 9874, 5071, 10691, 674, 12089, 454, 268, 1948, 293, 4157, 2313, 9874, 594, 715, 8123, 7233, 1234, 18503, 476, 273, 681, 11901, 18323, 3816, 1622, 14033, 476, 3583, 26440, 4181, 17622, 6736, 16842, 4826, 769, 20287, 454, 268, 1496, 8512, 476, 272, 268, 272, 316, 715, 8123, 12518, 543, 24658, 1530, 523, 998, 519, 28438, 540, 5753, 630, 13202, 269, 476, 1001, 273, 994, 268, 1280, 634, 3689, 5384, 769, 3683, 476, 1789, 13012, 772, 2529, 269, 1677, 12706, 1715, 17437, 5295, 7233, 454, 268, 634, 2475, 281, 15332, 853, 1575, 7190, 910, 715, 13612, 6182, 1218, 17821, 547, 5565, 1715, 966, 690, 1479, 715, 13048, 6673, 1911, 271, 1234, 716, 832, 2336, 268, 30738, 2313, 9874, 3143, 269, 476, 273, 2030, 729, 1412, 333, 792, 15835, 6658, 7055, 268, 2037, 965, 6178, 2137, 11814, 539, 547, 16418, 17437, 966, 1774, 538, 19519, 281, 6828, 0, 20540, 7267, 8376, 10644, 543, 9615, 454, 291, 1581, 10714, 610, 513, 561, 8985, 538, 3318, 1416, 666, 723, 513, 5458, 1764, 593, 707, 5711, 1072, 269, 1403, 707, 12837, 3884, 1406, 3478, 519, 3007, 602, 621, 2115, 267, 596, 1223, 1020, 513, 2783, 1634, 607, 27731, 2068, 267, 849, 1634, 607, 10733, 2068, 563, 2710, 1411, 5620, 717, 636, 8376, 888, 2026, 15799, 5956, 547, 1628, 267, 2870, 513, 6915, 28291, 593, 707, 4522, 267, 6553, 540, 519, 14779, 786, 1419, 1267, 269, 901, 25017, 543, 16698, 540, 707, 10733, 5160, 568, 3335, 5219, 547, 607, 10733, 2068, 269, 9453, 6304, 267, 3968, 666, 3262, 4514, 267, 5555, 3056, 547, 10733, 1033, 16670, 267, 5642, 2530, 267, 543, 5694, 2530, 563, 2252, 596, 2461, 7680, 1022, 540, 891, 2589, 540, 10733, 2068, 267, 1289, 938, 5604, 585, 606, 6268, 912, 268, 570, 691, 541, 19221, 2059, 707, 10733, 1467, 454, 268, 589, 10770, 3983, 6492, 538, 707, 5023, 454, 268, 14068, 7362, 454, 268, 700, 5366, 4522, 454, 268, 29392, 2530, 454, 268, 12213, 22836, 3384, 1063, 707, 14779, 543, 4522, 267, 3850, 1426, 547, 3640, 1063, 6980, 454, 763, 1101, 1900, 547, 8156, 707, 10733, 2068, 568, 27731, 18440, 543, 3597, 1544, 532, 547, 7184, 2973, 519, 7783, 1858, 269, 3683, 519, 1576, 540, 1079, 11564, 547, 938, 5604, 267, 519, 10733, 22836, 543, 3597, 7252, 616, 8499, 19345, 676, 835, 540, 938, 31978, 1235, 269, 20767, 566, 3681, 616, 2139, 547, 2327, 707, 4313, 543, 22297, 606, 20469, 568, 849, 1031, 267, 865, 596, 4465, 1406, 1745, 513, 3364, 563, 6369, 2793, 303, 21558, 10657, 454, 2691, 10733, 2068, 814, 27636, 883, 513, 811, 3978, 2783, 267, 649, 2709, 15829, 2793, 303, 8955, 27731, 5574, 269, 901, 4781, 3340, 1100, 5969, 267, 1100, 25573, 267, 543, 1100, 1928, 950, 3379, 547, 2757, 1166, 777, 6391, 269, 5502, 267, 938, 8955, 3797, 10322, 559, 3278, 519, 7783, 2127, 543, 8992, 7067, 267, 950, 1031, 538, 4999, 609, 513, 3318, 2620, 7738, 563, 303, 514, 23346, 11270, 7267, 10657, 454, 288, 1455, 28658, 540, 27731, 2068, 568, 10733, 21748, 269, 1306, 14779, 7485, 2476, 267, 519, 3597, 666, 581, 6534, 4929, 5694, 8417, 543, 519, 5920, 540, 968, 14075, 892, 4522, 269, 2060, 519, 18237, 23346, 2126, 267, 596, 666, 2057, 11213, 21910, 338, 607, 707, 10733, 5160, 568, 5402, 1065, 3789, 539, 547, 3382, 519, 6534, 3597, 2627, 563, 6701, 596, 7680, 1022, 540, 519, 2589, 540, 10733, 2068, 286, 11910, 12844, 7534, 15482, 4741, 585, 11636, 27731, 1416, 2336, 2171, 616, 849, 6126, 547, 1683, 606, 26966, 545, 15360, 585, 513, 2269, 7660, 4190, 12837, 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 ]

[ 272, 281, 1789, 282, 476, 273, 29833, 2103, 476, 276, 281, 2641, 1040, 11109, 1044, 1500, 2973, 3571, 1004, 616, 547, 581, 4190, 538, 13924, 609, 519, 5898, 540, 2868, 1465, 630, 11679, 531, 916, 476, 9834, 281, 280, 1916, 8072, 291, 1046, 267, 855, 2097, 569, 10200, 634, 2262, 585, 2048, 323, 1046, 685, 1797, 2048, 18872, 880, 9957, 2701, 729, 9583, 18632, 2960, 2740, 982, 519, 18211, 7095, 20766, 540, 13243, 945, 1185, 10150, 4027, 689, 519, 3141, 689, 4332, 267, 543, 1256, 7654, 849, 593, 7292, 12406, 269, 1809, 1352, 1131, 711, 723, 3838, 519, 3109, 1145, 540, 519, 15337, 1014, 610, 20528, 3150, 269, 2701, 6444, 267, 2705, 267, 602, 519, 14334, 540, 1200, 2960, 1131, 581, 2938, 676, 519, 10347, 20766, 540, 13243, 607, 513, 13337, 269, 3807, 607, 519, 5939, 568, 6926, 332, 1639, 267, 855, 2097, 569, 267, 547, 519, 7083, 267, 4906, 2441, 563, 763, 2048, 323, 18805, 540, 13243, 685, 945, 941, 4440, 8385, 20766, 540, 18211, 7095, 3237, 267, 4440, 2099, 1934, 630, 514, 2070, 540, 519, 1762, 30823, 523, 8204, 5840, 264, 519, 9682, 6082, 1641, 547, 5840, 543, 547, 519, 4622, 269, 1284, 666, 5635, 875, 9682, 14252, 941, 1572, 2048, 323, 18805, 540, 4534, 685, 538, 267, 585, 1383, 267, 26056, 476, 1428, 281, 3393, 282, 26056, 476, 1428, 281, 5325, 563, 2108, 2710, 711, 1413, 2390, 803, 267, 5221, 594, 993, 2220, 14390, 344, 267, 5221, 519, 3141, 814, 1085, 528, 3481, 803, 269, 3733, 3993, 779, 14930, 941, 1651, 10234, 1996, 803, 269, 1358, 1500, 803, 1183, 4177, 540, 519, 11903, 29288, 267, 1809, 1250, 1378, 11903, 12881, 723, 594, 711, 6854, 3034, 4415, 4742, 19969, 519, 1762, 30823, 523, 1631, 8098, 1080, 602, 782, 568, 711, 3833, 607, 1352, 814, 9738, 269, 2755, 621, 568, 3020, 602, 1352, 568, 3109, 267, 855, 2097, 569, 267, 1352, 26342, 602, 1352, 814, 1044, 856, 538, 519, 3141, 1932, 1454, 267, 543, 814, 3976, 1831, 1360, 3141, 14315, 539, 267, 543, 1352, 12134, 602, 789, 786, 711, 1413, 693, 1200, 5898, 1932, 5702, 269, 1280, 519, 8909, 1249, 568, 602, 693, 1459, 1352, 568, 2220, 14390, 344, 1317, 519, 3141, 814, 1085, 528, 3481, 1200, 269, 1656, 1352, 8098, 1080, 602, 621, 814, 7361, 1044, 1200, 1378, 13337, 269, 898, 729, 3020, 602, 1200, 1900, 15842, 750, 338, 1185, 711, 1044, 2186, 547, 1200, 267, 543, 1185, 7142, 1200, 547, 7390, 547, 519, 11903, 10651, 267, 799, 729, 519, 1970, 31586, 540, 4247, 630, 273, 18301, 476, 1839, 281, 1321, 282, 30037, 476, 8618, 281, 276, 1070, 3976, 11744, 875, 14605, 1352, 1185, 1044, 5701, 269, 1717, 267, 1247, 1352, 1185, 6854, 519, 11903, 10651, 1134, 2614, 1352, 7691, 602, 2864, 18174, 880, 569, 1352, 1185, 8959, 547, 1832, 2048, 615, 1378, 11903, 4677, 8730, 602, 568, 547, 4585, 936, 1200, 1378, 2123, 5920, 269, 2701, 1185, 8959, 547, 2149, 1200, 1950, 542, 1996, 519, 3141, 630, 24392, 621, 1185, 5693, 711, 2322, 519, 4622, 1055, 1040, 2701, 1185, 4440, 711, 4397, 519, 4622, 547, 1491, 606, 1719, 538, 1200, 267, 543, 1631, 602, 646, 1185, 267, 1352, 729, 7184, 3222, 540, 1200, 20541, 687, 563, 29994, 1932, 1185, 13974, 8959, 547, 2226, 741, 2123, 5920, 269, 3502, 1152, 1185, 789, 1831, 3141, 14315, 539, 630, 1729, 581, 1159, 527, 1084, 676, 519, 3141, 729, 2938, 607, 513, 10385, 689, 799, 789, 2877, 547, 581, 9447, 910, 25360, 916, 476, 13199, 281, 277, 264, 855, 849, 4988, 538, 535, 6856, 532, 21399, 630, 3674, 320, 11672, 476, 272, 281, 277, 1040, 1358, 1932, 1185, 1577, 2933, 979, 543, 1185, 1577, 2696, 1524, 269, 1358, 1185, 1831, 2261, 1042, 538, 519, 3946, 540, 519, 1494, 614, 630, 297, 699, 31109, 476, 1240, 281, 275, 267, 5635, 22819, 31109, 476, 276, 281, 272, 268, 274, 282, 670, 846, 320, 476, 277, 281, 272, 282, 670, 846, 320, 476, 280, 281, 1626, 1040, 1656, 519, 1267, 1131, 581, 602, 950, 741, 4397, 3751, 1705, 2097, 789, 1131, 711, 581, 4712, 267, 6306, 689, 519, 6074, 1906, 945, 4607, 13924, 609, 10508, 269, 5840, 779, 3401, 1185, 849, 1044, 1500, 519, 1183, 4177, 540, 519, 11903, 12881, 630, 297, 699, 31109, 476, 1321, 281, 1015, 1070, 855, 1185, 8959, 547, 1832, 922, 1378, 11903, 12881, 630, 3674, 320, 11672, 476, 276, 281, 272, 268, 278, 1916, 2005, 568, 1934, 1373, 1500, 2312, 602, 1018, 1185, 5949, 547, 5840, 729, 14356, 519, 13337, 540, 1866, 269, 2701, 1185, 1044, 2192, 1031, 676, 519, 6082, 1472, 1200, 269, 898, 1705, 711, 267, 2705, 267, 2312, 1200, 689, 16620, 267, 585, 1352, 1185, 8854, 2059, 609, 873, 538, 621, 269, 21894, 789, 1185, 2944, 547, 1200, 267, 1352, 1223, 723, 8179, 547, 2226, 1200, 5898, 563, 763, 3020, 5939, 267, 519, 1007, 5840, 267, 849, 814, 547, 16153, 602, 18284, 519, 2627, 540, 1200, 635, 17165, 267, 1200, 1950, 542, 814, 1044, 24401, 2830, 630, 272, 3627, 476, 272, 281, 279, 282, 476, 272, 3627, 476, 272, 281, 1015, 1070, 543, 602, 621, 568, 1200, 1378, 13337, 269, 898, 568, 3976, 942, 602, 1352, 1932, 3459, 547, 7390, 547, 1200, 5920, 543, 3343, 1310, 32660, 543, 19454, 267, 865, 602, 1352, 1522, 581, 24886, 547, 13924, 5808, 814, 6074, 1200, 269, 11048, 1352, 6487, 602, 519, 3751, 14560, 1200, 538, 19220, 540, 519, 1249, 602, 1352, 568, 8806, 513, 11903, 10571, 518, 267, 585, 547, 13924, 1352, 568, 4190, 269, 1261, 814, 6074, 1200, 538, 2648, 1354, 519, 5748, 540, 519, 1158, 630, 22977, 1127, 2103, 476, 272, 281, 275, 1040, 8616, 875, 6297, 649, 945, 1118, 909, 602, 5939, 1058, 581, 547, 2057, 519, 2360, 540, 519, 3141, 540, 5609, 543, 31112, 561, 652, 649, 581, 9575, 676, 922, 12345, 267, 543, 20494, 557, 13924, 676, 1018, 621, 1281, 547, 721, 267, 585, 621, 786, 2261, 3571, 3239, 538, 721, 269, 2334, 568, 1946, 1261, 2712, 2471, 267, 2048, 12024, 607, 1261, 5808, 1572, 596, 568, 13411, 267, 865, 581, 707, 2383, 13411, 538, 782, 6073, 540, 2713, 267, 1256, 607, 621, 568, 2854, 267, 2142, 596, 13411, 267, 585, 594, 993, 13411, 685, 630, 272, 8834, 476, 272, 281, 1428, 268, 1626, 1040, 2048, 6826, 596, 849, 3501, 267, 1256, 607, 707, 12429, 538, 24656, 568, 3501, 685, 630, 31861, 476, 276, 281, 4366, 538, 2474, 540, 15623, 476, 276, 281, 5655, 268, 4366, 1916, 2108, 307, 749, 803, 267, 744, 596, 7247, 1250, 9997, 14560, 267, 7316, 596, 3049, 707, 26600, 267, 7316, 596, 1118, 621, 547, 1964, 693, 29869, 267, 1280, 1946, 1058, 594, 581, 607, 835, 945, 568, 1654, 6150, 267, 29817, 728, 519, 1166, 4169, 540, 707, 15274, 18313, 9515, 7125, 593, 1200, 11537, 267, 519, 835, 7247, 1200, 9997, 14560, 267, 547, 2995, 1200, 1141, 646, 568, 8023, 1010, 1166, 4169, 267, 543, 1141, 646, 3217, 1010, 1100, 10185, 1964, 269, 1280, 1352, 1281, 711, 1616, 547, 581, 29595, 1472, 519, 1114, 1958, 2086, 906, 540, 1010, 8284, 1606, 515, 17731, 1091, 267, 1654, 6150, 1996, 741, 22401, 1247, 3168, 585, 1864, 267, 538, 519, 29285, 1373, 19451, 585, 513, 10690, 4807, 269, 1656, 2523, 711, 950, 1352, 1131, 2864, 581, 609, 1864, 543, 1930, 547, 1010, 22401, 269, 2701, 23311, 15438, 941, 711, 7164, 538, 1346, 2395, 543, 649, 1590, 3314, 602, 15584, 729, 513, 1352, 23311, 19036, 269, 4107, 15438, 1705, 723, 1804, 1166, 4169, 540, 10424, 13265, 543, 1131, 3006, 1100, 8969, 267, 2523, 607, 1762, 2367, 267, 581, 1336, 2713, 538, 512, 757, 543, 2048, 339, 2056, 685, 873, 2059, 609, 741, 2048, 1260, 3966, 687, 8730, 607, 1134, 607, 741, 896, 1606, 515, 17731, 1091, 269, 898, 1131, 581, 513, 1689, 689, 1272, 538, 519, 19289, 267, 543, 1131, 1100, 8969, 1118, 873, 1745, 602, 789, 941, 1373, 3730, 543, 812, 569, 269, 898, 1131, 711, 3100, 8966, 547, 519, 1762, 30823, 523, 1317, 1352, 729, 4440, 540, 5634, 18211, 7095, 6006, 540, 513, 1826, 945, 949, 1134, 723, 22157, 741, 1378, 13265, 563, 29994, 1932, 941, 1373, 1572, 593, 547, 3343, 856, 741, 2696, 543, 711, 581, 3366, 4230, 2001, 676, 824, 1352, 17731, 1091, 630, 297, 699, 31109, 476, 1839, 281, 3607, 282, 22819, 31109, 476, 2004, 281, 277, 282, 26442, 2131, 1408, 476, 4097, 281, 276, 282, 476, 272, 18301, 476, 2420, 281, 1704, 1070, 543, 6743, 4464, 547, 835, 1554, 7487, 1200, 1352, 23311, 4622, 630, 292, 345, 2131, 1408, 476, 4097, 281, 2537, 282, 26442, 2131, 1408, 476, 4391, 281, 2190, 1070, 855, 8909, 569, 950, 1261, 1705, 2097, 1352, 729, 547, 581, 1336, 29595, 1472, 519, 512, 757, 540, 824, 1352, 17731, 1091, 269, 2334, 729, 1946, 1352, 14406, 856, 593, 3571, 2648, 269, 2201, 519, 824, 1688, 972, 941, 267, 540, 1576, 267, 2141, 930, 945, 267, 899, 713, 1762, 30823, 523, 267, 8179, 856, 2048, 295, 574, 1733, 558, 741, 9997, 6068, 685, 630, 272, 18301, 476, 866, 281, 1240, 282, 30037, 476, 279, 281, 1626, 1040, 1656, 538, 519, 1482, 1259, 2221, 519, 2295, 540, 3571, 3020, 1004, 568, 1572, 593, 547, 16111, 3343, 13924, 538, 3571, 2048, 339, 550, 685, 630, 3891, 3691, 9749, 476, 279, 281, 272, 268, 273, 1070, 964, 3931, 547, 1413, 693, 13924, 609, 30792, 3068, 865, 602, 789, 949, 1531, 1245, 3571, 18710, 543, 581, 1500, 899, 13924, 607, 789, 616, 538, 1184, 540, 1373, 4957, 689, 18710, 883, 18710, 630, 273, 29833, 2103, 476, 274, 281, 1240, 282, 476, 273, 29833, 2103, 476, 275, 281, 277, 1916, 2171, 1932, 949, 1616, 547, 917, 1141, 649, 666, 1265, 13924, 269, 1809, 952, 649, 616, 2731, 3571, 649, 1058, 917, 1141, 649, 666, 1265, 13924, 267, 585, 1261, 568, 538, 938, 12271, 630, 22977, 1127, 2103, 476, 274, 281, 1704, 268, 866, 1070, 543, 683, 13145, 982, 3946, 543, 3952, 267, 543, 649, 917, 602, 649, 666, 1935, 13924, 7683, 538, 11755, 538, 519, 6418, 4055, 630, 31861, 476, 277, 281, 277, 1070, 543, 602, 1141, 1079, 610, 1614, 5531, 538, 3571, 8745, 1261, 568, 972, 1851, 721, 630, 31861, 476, 1240, 281, 736, 1040, 1924, 649, 1932, 1058, 581, 964, 3931, 547, 581, 538, 3571, 7961, 25958, 17895, 267, 1565, 540, 13924, 630, 31861, 476, 1556, 281, 2764, 268, 1789, 1070, 543, 711, 581, 16462, 547, 581, 1336, 29595, 1851, 824, 512, 757, 267, 15962, 519, 1158, 543, 519, 1919, 602, 616, 538, 519, 1158, 630, 272, 3627, 476, 273, 281, 1428, 268, 1704, 1040, 634, 2243, 602, 649, 1590, 4061, 2307, 6000, 568, 713, 269, 1684, 649, 723, 519, 1482, 23473, 538, 5275, 13924, 1733, 558, 938, 9997, 14560, 607, 713, 1762, 30823, 523, 1185, 607, 1352, 8179, 585, 1200, 11537, 286, 1656, 1152, 649, 666, 917, 519, 2626, 547, 602, 2243, 563, 15578, 9358, 7582, 654, 6865, 2894, 1631, 1289, 547, 519, 30823, 523, 538, 1200, 4555, 267, 538, 1018, 568, 4440, 4401, 545, 5796, 269, 1358, 616, 4440, 23279, 540, 1200, 269, 634, 6609, 2048, 17304, 790, 560, 1851, 2021, 685, 568, 849, 1336, 538, 14576, 540, 21125, 476, 276, 281, 280, 282, 14576, 540, 21125, 476, 277, 281, 272, 267, 543, 6920, 945, 519, 10529, 616, 269, 1358, 616, 519, 1762, 2021, 540, 519, 2244, 563, 28490, 596, 798, 711, 917, 267, 744, 596, 3655, 790, 560, 1851, 2021, 267, 3619, 707, 1259, 8521, 676, 519, 3723, 25074, 540, 519, 26600, 267, 1656, 3049, 707, 3214, 22290, 519, 1352, 17731, 1091, 685, 512, 757, 3034, 19853, 16253, 568, 4440, 4401, 545, 269, 1358, 616, 6031, 602, 1352, 949, 581, 519, 3655, 790, 560, 1851, 2021, 267, 855, 267, 952, 1352, 568, 865, 14255, 633, 543, 1202, 17567, 602, 1352, 3112, 5612, 2697, 519, 4622, 779, 17895, 267, 5310, 621, 1131, 581, 1732, 952, 1352, 6170, 1200, 942, 1739, 519, 13265, 13475, 543, 8023, 1200, 1762, 3214, 16310, 519, 824, 1352, 23311, 779, 512, 757, 267, 585, 1352, 1281, 711, 17330, 1864, 269, 898, 949, 581, 602, 972, 568, 1934, 513, 20726, 540, 30983, 1934, 267, 543, 849, 513, 19583, 602, 952, 519, 4622, 2731, 1185, 2040, 3000, 539, 1200, 646, 1131, 723, 24458, 602, 1352, 1131, 917, 519, 1259, 269, 634, 4704, 547, 3214, 2864, 982, 2407, 6738, 23161, 949, 5815, 513, 19583, 593, 741, 851, 602, 1352, 568, 711, 2943, 2025, 2614, 585, 1018, 568, 538, 4558, 585, 1200, 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 ]

[ 1002, 318, 2889, 329, 1341, 23686, 5091, 582, 263, 298, 267, 586, 910, 23686, 5091, 582, 18154, 267, 1535, 1002, 318, 2889, 329, 4917, 16875, 943, 520, 815, 943, 520, 318, 2889, 329, 910, 23686, 5091, 582, 263, 298, 267, 23686, 5091, 582, 18154, 267, 943, 520, 318, 2889, 329, 4917, 16875, 608, 815, 23686, 18622, 706, 576, 318, 11743, 6025, 325, 269, 4118, 4732, 13645, 3287, 1002, 910, 630, 339, 325, 5091, 582, 10490, 267, 1535, 1002, 4297, 4297, 476, 1948, 1341, 23686, 5091, 582, 16360, 267, 579, 4917, 16875, 2363, 815, 23686, 18622, 706, 576, 318, 11743, 6025, 325, 269, 4118, 4732, 13645, 12169, 910, 23686, 5091, 582, 18154, 267, 1535, 1002, 21875, 16875, 9049, 292, 815, 608, 1341, 2363, 454, 8587, 609, 11746, 298, 293, 912, 1038, 522, 1002, 815, 23686, 5091, 582, 263, 295, 267, 1535, 1002, 994, 1038, 522, 1002, 338, 6910, 263, 334, 1002, 8542, 17056, 15405, 1038, 9049, 292, 26000, 336, 815, 9049, 292, 26000, 336, 266, 5960, 292, 454, 825, 5552, 815, 11746, 298, 293, 3052, 2784, 1304, 263, 5960, 292, 26000, 336, 267, 1496, 288, 7481, 825, 5688, 6500, 318, 288, 269, 1952, 569, 14682, 2784, 1801, 18750, 760, 14116, 2784, 267, 1496, 288, 28413, 825, 952, 9337, 318, 288, 4939, 476, 1015, 2652, 476, 271, 912, 8587, 1820, 2891, 5960, 292, 24333, 9049, 292, 994, 8587, 12301, 19502, 16597, 18020, 476, 272, 3910, 6003, 6889, 12148, 10025, 5602, 8587, 12301, 19502, 263, 334, 1002, 338, 267, 6003, 6889, 298, 531, 2006, 31207, 5602, 8587, 12301, 269, 5586, 754, 4590, 8587, 12301, 20481, 30800, 18851, 27240, 1304, 1759, 5276, 16762, 8193, 543, 17833, 2006, 19003, 12163, 5814, 11885, 607, 5286, 454, 5814, 21723, 6503, 607, 23686, 454, 5814, 21267, 28272, 607, 12301, 454, 5228, 21723, 6503, 20216, 704, 14939, 8542, 17056, 1104, 12297, 607, 23686, 5091, 582, 692, 4650, 815, 476, 273, 454, 14725, 318, 10861, 290, 815, 8771, 454, 14725, 318, 298, 293, 815, 8771, 454, 14725, 318, 298, 293, 5334, 701, 3663, 815, 8771, 454, 14725, 318, 15425, 5334, 701, 3663, 815, 8771, 454, 14725, 318, 295, 15425, 5334, 701, 3663, 815, 6936, 692, 604, 2196, 318, 10861, 290, 912, 476, 5727, 12430, 16762, 8193, 630, 10861, 290, 264, 609, 27080, 12163, 476, 5688, 6500, 815, 23686, 21993, 10327, 269, 9953, 574, 9088, 269, 3849, 600, 263, 14048, 318, 3433, 284, 271, 269, 4905, 994, 476, 589, 318, 272, 815, 23686, 17679, 926, 762, 263, 30976, 19056, 284, 339, 325, 20179, 26509, 6134, 8443, 4650, 268, 272, 25818, 5721, 762, 18989, 267, 2012, 6889, 288, 318, 272, 5602, 476, 589, 318, 271, 815, 23686, 17679, 926, 762, 263, 30976, 19056, 284, 15631, 272, 269, 3910, 5721, 762, 25716, 267, 2012, 6889, 288, 318, 271, 5602, 476, 3403, 815, 5286, 7456, 1231, 10628, 263, 272, 267, 476, 1911, 267, 476, 1911, 2020, 476, 585, 9337, 538, 2039, 263, 1911, 2187, 8587, 609, 23686, 14371, 2784, 1304, 307, 1901, 9638, 619, 11962, 18989, 264, 607, 11746, 912, 16875, 589, 815, 23686, 26769, 13906, 8443, 288, 318, 271, 267, 589, 318, 272, 3910, 7852, 284, 271, 994, 16875, 661, 815, 23686, 11053, 16428, 26161, 5560, 6943, 284, 339, 325, 269, 15615, 3953, 267, 2450, 284, 6358, 17482, 314, 271, 3910, 2312, 318, 12898, 318, 1348, 25716, 994, 16875, 1931, 815, 589, 17482, 314, 271, 2639, 16875, 585, 562, 538, 2039, 9272, 17482, 314, 271, 316, 2567, 661, 815, 661, 22182, 3799, 267, 476, 271, 8094, 16875, 585, 562, 538, 2039, 263, 4650, 267, 3403, 17482, 314, 271, 3910, 476, 272, 2187, 23526, 585, 1775, 538, 2039, 263, 4650, 2187, 4449, 476, 552, 5332, 815, 661, 18667, 3799, 264, 910, 23686, 269, 4751, 10490, 5157, 30297, 6358, 19559, 25829, 3910, 546, 6943, 284, 339, 325, 269, 15615, 3953, 994, 4449, 476, 661, 815, 661, 22182, 3799, 267, 552, 5332, 994, 16875, 661, 318, 11743, 815, 23686, 18622, 706, 576, 318, 11743, 6025, 325, 269, 4118, 4732, 13645, 27887, 14714, 871, 3890, 4917, 16875, 5552, 815, 11746, 3052, 2784, 1304, 27887, 318, 11743, 267, 1496, 288, 318, 272, 7481, 16875, 5688, 6500, 269, 1952, 569, 14682, 2784, 1801, 18750, 760, 14116, 2784, 267, 1496, 288, 318, 272, 28413, 16875, 952, 9337, 4939, 476, 1015, 2652, 476, 271, 281, 1820, 2891, 13286, 24333, 661, 318, 11743, 8542, 17056, 19572, 834, 21213, 589, 24333, 589, 8542, 17056, 31156, 604, 2196, 318, 298, 293, 912, 476, 5727, 17833, 2006, 19003, 12163, 476, 5688, 6500, 298, 293, 815, 23686, 21993, 10327, 269, 9953, 574, 9088, 269, 3849, 600, 263, 14048, 318, 3433, 284, 271, 269, 9826, 994, 476, 609, 23686, 14371, 2784, 1304, 307, 1901, 9638, 619, 11962, 18989, 264, 607, 11746, 298, 293, 912, 825, 3403, 815, 5286, 7456, 1231, 10628, 263, 272, 267, 476, 1911, 267, 476, 1911, 994, 825, 1535, 323, 574, 815, 476, 272, 454, 825, 585, 9337, 538, 2039, 263, 1015, 2187, 8587, 589, 815, 23686, 17679, 926, 762, 263, 30976, 19056, 284, 339, 325, 20179, 26509, 6134, 8443, 4650, 267, 1931, 8079, 265, 271, 269, 1822, 272, 267, 5721, 762, 18989, 267, 2012, 6889, 288, 5602, 8587, 1535, 815, 23686, 25910, 8443, 4650, 7481, 8587, 595, 815, 23686, 4318, 6614, 263, 4650, 994, 8587, 645, 815, 23686, 269, 2158, 8443, 4650, 7481, 8587, 670, 815, 23686, 17679, 926, 762, 263, 30976, 19056, 284, 339, 325, 26769, 13906, 31912, 272, 269, 3910, 23686, 25910, 263, 4650, 910, 476, 272, 264, 3910, 7852, 284, 271, 1070, 5721, 762, 25716, 994, 8587, 1535, 1002, 815, 23686, 25910, 8443, 4650, 7481, 8587, 943, 520, 815, 23686, 4318, 6614, 263, 4650, 994, 8587, 1627, 815, 23686, 4318, 6614, 263, 4650, 994, 8587, 681, 815, 23686, 4318, 6614, 263, 4650, 994, 8587, 522, 1002, 338, 815, 11713, 8587, 661, 318, 11743, 815, 476, 271, 563, 8587, 585, 562, 538, 2039, 9272, 17482, 314, 271, 316, 268, 272, 2187, 1038, 579, 815, 3403, 19559, 2639, 1038, 586, 815, 3403, 19559, 266, 272, 2639, 1038, 1535, 815, 23686, 5091, 582, 10490, 267, 1535, 264, 1341, 23686, 5091, 582, 16360, 267, 579, 994, 1038, 1535, 1002, 318, 2889, 329, 815, 23686, 5091, 582, 10490, 267, 1535, 1002, 264, 1341, 23686, 5091, 582, 16360, 267, 579, 994, 1038, 943, 520, 318, 2889, 329, 815, 23686, 5091, 582, 10490, 267, 23686, 5091, 582, 263, 874, 520, 267, 23686, 6745, 4920, 2821, 10490, 30727, 1341, 1627, 454, 1038, 918, 815, 23686, 5091, 582, 6025, 325, 5091, 582, 263, 874, 520, 318, 2889, 329, 267, 23686, 6745, 4920, 2821, 18154, 24270, 23686, 7456, 1400, 326, 23357, 341, 6025, 325, 5091, 582, 6025, 325, 5091, 582, 18154, 267, 943, 520, 318, 2889, 329, 1070, 23686, 6745, 4920, 2821, 18154, 4297, 1341, 681, 4917, 1038, 1535, 1002, 815, 1535, 1002, 318, 2889, 329, 1341, 23686, 5091, 582, 263, 298, 267, 586, 910, 23686, 5091, 582, 18154, 267, 1535, 1002, 318, 2889, 329, 4917, 1038, 943, 520, 815, 943, 520, 318, 2889, 329, 910, 23686, 5091, 582, 263, 298, 267, 23686, 5091, 582, 18154, 267, 943, 520, 318, 2889, 329, 4917, 1038, 522, 1002, 815, 23686, 5091, 582, 263, 295, 267, 1535, 1002, 994, 1038, 522, 1002, 338, 6910, 263, 334, 1002, 8542, 17056, 15405, 1038, 661, 318, 11743, 815, 661, 318, 11743, 1341, 23686, 18622, 706, 576, 318, 11743, 6025, 325, 269, 4118, 4732, 13645, 12169, 27984, 1002, 4917, 8587, 5552, 815, 11746, 298, 293, 3052, 2784, 1304, 27887, 318, 11743, 267, 1496, 288, 7481, 8587, 5688, 6500, 298, 293, 269, 1952, 569, 14682, 2784, 1801, 18750, 760, 14116, 2784, 267, 1496, 288, 28413, 8587, 952, 9337, 4939, 476, 272, 2652, 476, 271, 281, 1820, 2891, 13286, 24333, 661, 318, 11743, 8542, 17056, 31156, 476, 12301, 19502, 9272, 267, 6003, 6889, 12148, 10025, 5602, 476, 12301, 19502, 263, 334, 1002, 338, 267, 6003, 6889, 298, 531, 2006, 31207, 5602, 476, 12301, 269, 5586, 754, 4590, 476, 12301, 20481, 10797, 604, 2196, 318, 298, 293, 5334, 701, 3663, 912, 476, 5727, 27240, 1304, 1759, 17833, 2006, 19003, 540, 4633, 8173, 476, 1104, 21723, 6503, 607, 23686, 454, 476, 1104, 15259, 454, 476, 1104, 21267, 28272, 607, 12301, 454, 476, 1104, 2241, 7596, 1470, 607, 1094, 454, 476, 1104, 533, 903, 696, 330, 454, 476, 689, 1085, 27251, 269, 1470, 1104, 530, 822, 12803, 454, 476, 1104, 3280, 12803, 607, 521, 325, 454, 476, 1104, 5391, 4592, 320, 454, 476, 1104, 5391, 4592, 320, 269, 5891, 454, 476, 1104, 11885, 607, 5286, 454, 476, 689, 1085, 27251, 1104, 5365, 607, 521, 326, 454, 476, 1104, 5391, 4592, 320, 454, 476, 1104, 5391, 4592, 320, 269, 5891, 454, 476, 1104, 21267, 28272, 607, 12301, 454, 476, 689, 1085, 27251, 1104, 5365, 454, 476, 1104, 21723, 6503, 607, 23686, 454, 476, 689, 21723, 6503, 1104, 737, 10327, 454, 476, 689, 21723, 6503, 21993, 10327, 1104, 6106, 692, 476, 7406, 28747, 815, 476, 5038, 454, 476, 5577, 28747, 815, 476, 3953, 692, 476, 521, 337, 267, 1535, 815, 530, 822, 12803, 18667, 9638, 903, 696, 330, 269, 583, 559, 269, 9987, 318, 7596, 1470, 18316, 15405, 476, 1535, 815, 1535, 269, 770, 4286, 18828, 269, 15615, 3953, 994, 476, 1535, 1315, 284, 5286, 269, 11274, 3287, 1040, 10946, 4590, 476, 5721, 4671, 13759, 815, 1535, 454, 476, 5721, 17750, 815, 1535, 454, 476, 535, 338, 815, 521, 337, 692, 476, 1948, 674, 271, 16759, 543, 2707, 29835, 5108, 454, 476, 535, 271, 815, 533, 903, 696, 330, 269, 1873, 6559, 3287, 269, 770, 4286, 18828, 269, 15615, 5038, 1070, 535, 338, 284, 338, 337, 267, 554, 3591, 1125, 284, 7749, 28747, 267, 1295, 284, 2568, 267, 3193, 284, 13301, 267, 522, 6943, 6889, 325, 271, 5602, 476, 12334, 815, 533, 903, 696, 330, 269, 1873, 6559, 3287, 269, 770, 4286, 18828, 269, 15615, 5038, 1070, 535, 338, 284, 338, 337, 267, 554, 3591, 1125, 284, 7749, 28747, 267, 1295, 284, 2568, 267, 3193, 284, 13301, 267, 522, 6943, 6889, 335, 3558, 5602, 476, 2707, 318, 1410, 322, 2787, 815, 533, 903, 696, 330, 20216, 322, 924, 9638, 3558, 267, 5577, 28747, 264, 11468, 343, 17482, 314, 271, 27663, 476, 1948, 6885, 539, 11378, 454, 476, 14604, 815, 5391, 4592, 320, 269, 583, 559, 8807, 9347, 4433, 1830, 318, 1410, 322, 2787, 267, 7406, 28747, 284, 18134, 28747, 267, 5577, 28747, 284, 7749, 28747, 1040, 770, 4286, 18828, 269, 15615, 5038, 1040, 307, 454, 476, 14604, 2608, 284, 533, 903, 696, 330, 269, 18872, 2006, 6600, 9347, 28747, 994, 476, 14604, 815, 5286, 26769, 13906, 523, 622, 8443, 325, 29707, 267, 5286, 25910, 318, 3697, 6600, 29707, 11468, 272, 8079, 3910, 7852, 284, 271, 994, 476, 14604, 815, 5286, 269, 10339, 663, 5091, 15501, 6600, 29707, 267, 7852, 15871, 272, 2020, 476, 1948, 6885, 539, 17016, 454, 476, 14604, 26000, 815, 5391, 4592, 320, 269, 583, 559, 8807, 9347, 6025, 1778, 4671, 13759, 267, 7406, 28747, 284, 18134, 28747, 267, 5577, 28747, 284, 7749, 28747, 1040, 770, 4286, 18828, 269, 15615, 5038, 1040, 307, 454, 476, 14604, 26000, 2608, 284, 533, 903, 696, 330, 269, 18872, 2006, 6600, 9347, 28747, 994, 476, 14604, 26000, 815, 5286, 269, 10339, 663, 5091, 15501, 6600, 29707, 26000, 267, 7852, 15871, 272, 2020, 476, 1948, 13096, 553, 564, 689, 14604, 454, 476, 14604, 318, 935, 13906, 815, 5286, 26769, 13906, 523, 622, 8443, 325, 29707, 267, 14604, 26000, 3910, 7852, 15871, 272, 994, 476, 10471, 815, 23686, 21606, 6185, 21648, 564, 269, 5228, 4671, 16428, 5334, 997, 525, 6600, 29707, 318, 935, 13906, 2020, 476, 10471, 815, 10471, 12500, 2255, 263, 272, 1040, 553, 5332, 17056, 318, 3438, 1807, 4590, 476, 16801, 15481, 318, 815, 10471, 12785, 14061, 27729, 314, 271, 2639, 476, 10471, 815, 23686, 21606, 6185, 21648, 564, 269, 5228, 4671, 16428, 5334, 997, 525, 6600, 29707, 318, 935, 13906, 994, 476, 10471, 815, 10471, 12500, 2255, 263, 272, 994, 476, 10471, 815, 10471, 269, 553, 5332, 17056, 318, 3438, 1807, 4590, 476, 1239, 815, 5286, 4732, 638, 2465, 2763, 5560, 21648, 564, 12785, 15405, 476, 1239, 815, 1239, 692, 476, 5688, 6500, 298, 293, 815, 23686, 21993, 10327, 269, 9953, 574, 9088, 269, 3849, 600, 263, 14048, 318, 3433, 284, 271, 269, 4905, 994, 476, 609, 23686, 14371, 2784, 1304, 307, 1901, 9638, 619, 11962, 18989, 264, 607, 11746, 298, 293, 912, 825, 1535, 323, 574, 815, 476, 272, 454, 825, 589, 815, 23686, 17679, 926, 762, 263, 30976, 19056, 284, 339 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 292, 22770, 965, 28823, 5773, 616, 2614, 547, 3489, 7646, 4568, 338, 899, 585, 1383, 581, 619, 267, 6793, 4568, 338, 543, 14326, 899, 22090, 4486, 543, 642, 617, 6390, 1131, 991, 835, 3606, 1184, 3957, 1253, 20746, 267, 543, 4166, 1310, 1253, 20746, 4568, 540, 513, 9157, 2470, 666, 3833, 7654, 581, 2813, 269, 7756, 12204, 540, 1253, 650, 7685, 666, 849, 5352, 6704, 4568, 338, 543, 14326, 971, 607, 6216, 344, 267, 22090, 4486, 267, 543, 642, 617, 6390, 1851, 1866, 543, 2824, 1253, 650, 7685, 849, 3132, 6915, 996, 12935, 547, 10131, 26873, 563, 18850, 20746, 786, 2154, 14495, 519, 1898, 7848, 538, 1931, 547, 11517, 1125, 1114, 2326, 799, 949, 723, 3875, 14495, 2798, 543, 13604, 2569, 891, 22643, 832, 782, 936, 1586, 547, 6460, 873, 1394, 16119, 883, 5277, 1106, 269, 769, 2013, 540, 11517, 1944, 513, 2603, 540, 4568, 338, 267, 519, 4222, 540, 519, 8179, 8584, 1123, 4568, 4679, 23666, 1947, 950, 789, 1847, 555, 745, 519, 1253, 20746, 1184, 269, 16200, 4568, 338, 899, 22090, 4486, 267, 642, 617, 6390, 267, 543, 6216, 344, 267, 1851, 1866, 786, 991, 547, 581, 30341, 538, 513, 1808, 22090, 4486, 1253, 20455, 267, 642, 617, 6390, 1253, 20455, 610, 6216, 344, 1253, 20455, 547, 23366, 581, 609, 27314, 569, 1164, 6169, 2157, 563, 2704, 4022, 1253, 20746, 568, 538, 991, 540, 8022, 1949, 547, 14974, 519, 7848, 602, 814, 5063, 1044, 25496, 269, 901, 18829, 568, 25189, 998, 7598, 1253, 650, 619, 13803, 602, 568, 9090, 1434, 2614, 547, 7639, 538, 6793, 4568, 338, 1247, 849, 7542, 13586, 538, 2362, 5210, 269, 1323, 5140, 7542, 13586, 13803, 602, 779, 811, 7415, 547, 3339, 9493, 6814, 538, 2474, 540, 7829, 1164, 5210, 543, 1164, 4568, 4222, 568, 2881, 2692, 13803, 269, 901, 13803, 568, 693, 519, 1482, 942, 25167, 609, 2890, 5567, 543, 1281, 711, 1331, 1022, 24379, 4551, 610, 3552, 13803, 799, 1522, 1291, 538, 795, 25428, 18829, 610, 24081, 1890, 538, 23931, 18829, 269, 901, 13803, 666, 581, 9715, 676, 1797, 540, 1065, 3176, 2228, 4609, 543, 568, 2139, 538, 1697, 11183, 585, 1253, 650, 7685, 607, 1134, 607, 1753, 1673, 626, 650, 619, 563, 763, 18829, 1184, 11517, 3278, 23931, 20892, 538, 519, 7848, 1101, 5631, 1317, 922, 14495, 1448, 568, 2539, 950, 3379, 609, 602, 540, 1216, 269, 589, 2603, 540, 891, 22643, 832, 616, 1287, 22799, 1524, 543, 27772, 2047, 883, 513, 1114, 1770, 269, 7756, 5686, 540, 2921, 538, 4568, 338, 543, 14326, 616, 14475, 676, 1818, 946, 540, 519, 1253, 20746, 1505, 267, 543, 713, 2186, 540, 1184, 814, 849, 9575, 519, 3007, 540, 519, 18914, 2872, 2094, 6915, 996, 12935, 568, 693, 713, 4090, 3351, 2213, 607, 513, 6915, 4492, 547, 7110, 2834, 4492, 909, 547, 476, 1015, 829, 1298, 1932, 269, 901, 814, 8507, 538, 16611, 7569, 585, 713, 1826, 540, 30341, 4568, 338, 543, 609, 1253, 20746, 4568, 540, 1114, 2010, 666, 1631, 581, 9112, 547, 4196, 3982, 6080, 563, 4263, 519, 1482, 942, 547, 1697, 1253, 20746, 267, 519, 946, 540, 12805, 13803, 693, 519, 1482, 942, 4249, 513, 1898, 3815, 538, 1373, 2386, 602, 519, 3803, 1587, 568, 3812, 609, 519, 5551, 4222, 267, 2681, 267, 23639, 543, 6492, 267, 2523, 538, 2013, 540, 6704, 4568, 269, 634, 18829, 540, 19844, 568, 513, 1279, 543, 6946, 2259, 602, 814, 547, 581, 11943, 609, 25932, 1416, 543, 513, 16994, 3750, 593, 513, 3099, 540, 6724, 799, 1331, 2837, 543, 4222, 547, 2327, 602, 519, 25739, 4568, 666, 581, 7494, 22541, 609, 513, 12805, 1253, 20746, 1505, 269, 16200, 13803, 899, 2881, 2692, 13803, 666, 581, 2386, 2362, 11729, 540, 4568, 338, 543, 14326, 1317, 789, 949, 2965, 1071, 1314, 4617, 7542, 13586, 544, 1662, 547, 1118, 1732, 543, 2362, 9424, 540, 4568, 338, 563, 18850, 20746, 540, 4568, 338, 568, 2629, 547, 1205, 1007, 3029, 540, 4568, 338, 543, 14326, 799, 723, 28659, 4222, 2157, 269, 4634, 865, 267, 1510, 519, 991, 540, 6190, 18829, 602, 3091, 1164, 7779, 4568, 547, 2253, 609, 267, 713, 1253, 20746, 1505, 1131, 711, 5838, 585, 4998, 4568, 338, 609, 8476, 6169, 2157, 269, 2991, 1253, 20746, 4568, 540, 513, 2178, 2470, 666, 581, 3144, 267, 3177, 3318, 543, 1753, 2861, 1253, 650, 619, 1832, 606, 23914, 3750, 593, 519, 18829, 1184, 593, 922, 1378, 269, 0, 2171, 616, 2713, 538, 513, 3059, 2085, 1895, 1141, 4066, 9846, 1020, 543, 3356, 609, 2653, 942, 602, 10596, 543, 538, 799, 8642, 1148, 960, 543, 849, 519, 5907, 11049, 2344, 9922, 723, 1630, 15701, 269, 898, 4667, 602, 1175, 827, 1169, 2185, 4374, 596, 786, 1265, 513, 1007, 2203, 540, 3059, 12514, 1373, 5950, 547, 519, 19458, 267, 1142, 835, 9621, 1256, 8273, 543, 1732, 4162, 2059, 609, 11506, 2706, 1790, 1460, 1564, 269, 1717, 267, 952, 596, 723, 513, 1360, 1271, 3815, 602, 4605, 11655, 666, 1832, 513, 1297, 540, 267, 621, 666, 581, 602, 1100, 2339, 875, 2362, 14482, 1013, 673, 543, 15210, 513, 3059, 8254, 568, 267, 621, 568, 2469, 547, 3622, 723, 922, 19231, 269, 17859, 875, 4101, 649, 2119, 267, 972, 786, 2141, 581, 602, 835, 8666, 602, 267, 952, 596, 1413, 1394, 693, 621, 267, 3085, 1406, 2408, 547, 4625, 2594, 519, 4778, 543, 18707, 707, 4064, 1185, 1044, 4466, 2429, 519, 3059, 8254, 14485, 269, 3371, 568, 1141, 3239, 1427, 537, 4221, 786, 2097, 538, 563, 20124, 1427, 537, 4221, 568, 513, 1505, 540, 8666, 11049, 799, 30211, 6140, 1472, 519, 7816, 543, 19349, 540, 11147, 952, 519, 8666, 568, 2780, 1242, 610, 9102, 856, 269, 634, 5578, 540, 8666, 1427, 537, 4221, 814, 519, 4390, 547, 11168, 3309, 25727, 3330, 606, 3239, 610, 5372, 609, 519, 7182, 540, 519, 1978, 4990, 540, 2007, 545, 600, 269, 4475, 267, 519, 24106, 15287, 267, 3604, 610, 2681, 18565, 1223, 581, 1121, 539, 1221, 610, 5129, 856, 609, 7064, 547, 3239, 1427, 537, 4221, 269, 898, 568, 1271, 547, 581, 3222, 1256, 1498, 602, 8666, 1427, 537, 4221, 786, 711, 581, 3274, 12581, 547, 26598, 269, 6736, 519, 1249, 602, 26598, 568, 10838, 519, 1034, 6093, 1259, 8666, 1427, 537, 4221, 568, 5340, 267, 8666, 1427, 537, 4221, 949, 849, 581, 13401, 609, 930, 824, 3114, 8041, 543, 4890, 2168, 11941, 2966, 547, 5163, 4605, 1175, 1354, 789, 666, 581, 3370, 563, 26452, 31834, 543, 11588, 2404, 609, 16514, 4825, 537, 4221, 912, 268, 5800, 11681, 16071, 269, 31598, 519, 1034, 6093, 5686, 540, 8666, 1427, 537, 4221, 786, 581, 519, 1826, 1031, 950, 2921, 17855, 6337, 269, 2060, 8666, 1427, 537, 4221, 267, 513, 3059, 22459, 786, 1491, 513, 17855, 8666, 543, 1697, 1022, 22405, 543, 2960, 20541, 687, 610, 12150, 2960, 2681, 269, 901, 2186, 540, 8666, 1427, 537, 4221, 568, 9090, 519, 1283, 5728, 547, 16950, 1652, 12449, 602, 649, 1294, 1178, 1424, 519, 9607, 540, 4012, 338, 1554, 538, 543, 1554, 856, 563, 268, 24771, 547, 1715, 269, 769, 6935, 547, 9102, 856, 11147, 267, 596, 786, 1265, 513, 12402, 585, 707, 6337, 547, 1205, 7759, 540, 1164, 2298, 543, 23058, 7190, 936, 942, 269, 634, 6337, 949, 849, 581, 2261, 1042, 676, 7436, 610, 32442, 535, 8172, 1317, 540, 1472, 610, 1447, 982, 4598, 547, 3141, 1769, 269, 17421, 1427, 537, 4221, 2636, 519, 9998, 6337, 538, 519, 1920, 10916, 547, 2132, 547, 741, 3105, 18710, 543, 561, 755, 516, 563, 268, 7822, 590, 680, 1662, 269, 17421, 1427, 537, 4221, 568, 4742, 865, 9120, 602, 621, 1590, 581, 1631, 19579, 693, 1210, 519, 9998, 3043, 543, 3109, 11147, 543, 15175, 873, 883, 26484, 12449, 269, 4014, 621, 2731, 568, 10962, 2681, 547, 707, 3239, 267, 972, 616, 1100, 24279, 2966, 547, 519, 1164, 2298, 543, 2312, 1145, 538, 519, 3355, 3239, 563, 288, 4605, 666, 581, 513, 973, 565, 3005, 799, 814, 1044, 25868, 609, 942, 543, 2966, 547, 3803, 11014, 269, 10251, 602, 7012, 1406, 2141, 3020, 1354, 607, 1454, 6337, 678, 5792, 610, 535, 12184, 543, 1185, 1044, 30758, 547, 581, 19184, 539, 538, 519, 6299, 321, 880, 10822, 269, 1306, 513, 1267, 540, 8523, 1427, 537, 4221, 267, 11147, 666, 1631, 581, 17468, 543, 3803, 952, 789, 941, 5921, 547, 2063, 281, 547, 581, 11843, 547, 7820, 5756, 3330, 519, 1296, 547, 2097, 267, 4179, 2517, 335, 1074, 18029, 2928, 2593, 28918, 0, 2252, 596, 10093, 1406, 1224, 634, 2290, 543, 8307, 25909, 676, 918, 15811, 2561, 5586, 622, 267, 596, 616, 538, 585, 513, 1483, 1521, 269, 634, 1650, 568, 5143, 689, 519, 5133, 540, 25909, 267, 513, 8988, 1394, 27580, 8759, 538, 513, 4760, 6438, 3898, 269, 634, 5467, 16137, 827, 25909, 779, 2250, 998, 8755, 10587, 267, 1010, 9620, 538, 519, 1459, 2713, 538, 519, 1507, 16876, 21799, 693, 519, 1401, 527, 476, 279, 8262, 5440, 26864, 543, 11473, 20211, 1228, 267, 543, 1010, 9909, 585, 519, 2104, 269, 901, 2022, 3568, 1896, 3450, 2093, 547, 946, 609, 519, 1433, 563, 9961, 1010, 1272, 267, 25909, 2729, 538, 2185, 1114, 4025, 269, 901, 19671, 5750, 8638, 1346, 4025, 269, 1280, 713, 5750, 267, 519, 1362, 16540, 539, 3877, 827, 1142, 1747, 25909, 5030, 269, 4841, 5206, 3877, 593, 20202, 4967, 269, 634, 1053, 1287, 5116, 519, 20202, 4967, 593, 519, 19671, 5750, 538, 519, 2953, 6753, 269, 15566, 7335, 454, 7069, 21777, 1433, 1770, 4223, 843, 320, 3568, 513, 3126, 540, 3670, 4245, 593, 1603, 513, 1966, 543, 3070, 1557, 269, 2991, 594, 8737, 519, 1433, 1770, 267, 594, 7691, 602, 594, 10093, 1406, 2938, 1082, 2238, 593, 519, 1357, 585, 3450, 2042, 543, 3435, 267, 865, 594, 2219, 594, 1131, 798, 513, 3787, 540, 1085, 709, 978, 532, 543, 1780, 2059, 1018, 594, 1336, 563, 8002, 8481, 547, 946, 609, 3245, 519, 24908, 5455, 28567, 540, 11427, 269, 29092, 661, 269, 7671, 933, 8814, 454, 12244, 1948, 272, 9625, 27062, 7467, 540, 3203, 454, 763, 27062, 7467, 540, 3203, 814, 13991, 606, 3003, 3390, 540, 741, 20394, 7467, 8866, 547, 2119, 547, 2626, 930, 540, 519, 1082, 2055, 789, 4309, 827, 519, 4276, 1063, 519, 1433, 3245, 519, 24908, 5455, 28567, 540, 11427, 269, 29092, 661, 269, 7671, 933, 8814, 543, 519, 9754, 269, 1411, 666, 4647, 621, 676, 14467, 593, 519, 3382, 2630, 5861, 2632, 514, 826, 7335, 454, 296, 993, 5393, 9599, 547, 723, 631, 5861, 269, 5685, 2714, 328, 267, 2278, 540, 24484, 1962, 16640, 1299, 1488, 4900, 281, 589, 9452, 540, 5565, 21989, 538, 853, 269, 27596, 538, 476, 6942, 276, 267, 16823, 5816, 3101, 2221, 269, 4173, 1433, 568, 513, 4686, 10516, 269, 11334, 786, 2648, 875, 621, 649, 2314, 1483, 1004, 543, 2621, 538, 513, 2295, 342, 9879, 1650, 563, 8967, 15619, 5453, 1564, 568, 513, 1187, 4928, 1565, 2534, 602, 4991, 1053, 856, 540, 741, 16295, 543, 3001, 1472, 1247, 789, 4487, 1983, 563, 763, 2534, 3340, 1053, 547, 5957, 610, 3180, 909, 513, 3556, 609, 513, 2262, 610, 8360, 269, 4595, 594, 946, 519, 20522, 561, 1415, 1841, 585, 23454, 1053, 267, 630, 2791, 666, 1224, 827, 875, 594, 1895, 1053, 883, 18756, 1565, 2516, 1934, 4700, 594, 723, 1053, 1747, 519, 6486, 609, 2453, 3330, 741, 561, 1415, 1841, 593, 1283, 540, 741, 4408, 269, 15566, 7335, 454, 11073, 540, 3733, 9650, 676, 1744, 16336, 19537, 704, 568, 606, 5863, 1650, 827, 606, 22221, 1032, 2025, 8004, 609, 19548, 25097, 344, 269, 1879, 9253, 1328, 568, 3833, 1762, 267, 1352, 4422, 936, 547, 1200, 1985, 7450, 7023, 779, 2777, 267, 11427, 269, 966, 269, 11427, 269, 966, 3085, 1406, 533, 600, 704, 9253, 1328, 607, 1200, 3237, 798, 269, 2701, 11414, 1200, 875, 547, 5066, 936, 543, 1085, 2393, 269, 2701, 30877, 602, 9253, 1328, 568, 5393, 6505, 267, 855, 1200, 2168, 7687, 2061, 1200, 689, 14379, 269, 5221, 540, 713, 11427, 269, 966, 16976, 547, 946, 513, 2792, 4604, 547, 4001, 9253, 1328, 513, 1297, 540, 1913, 269, 2755, 713, 568, 513, 2101, 14634, 267, 519, 2792, 568, 1360, 3908, 563, 31636, 8274, 11314, 454, 4415, 713, 2534, 267, 1053, 666, 1995, 930, 540, 519, 17140, 9253, 1328, 814, 950, 1352, 13290, 547, 1577, 1866, 917, 1018, 1352, 2115, 5861, 2632, 514, 826, 7335, 0, 11754, 2109, 666, 581, 32049, 269, 1403, 596, 610, 2576, 602, 596, 1416, 827, 814, 1044, 10010, 609, 513, 6219, 946, 4524, 267, 1287, 596, 616, 1134, 3222, 540, 519, 14042, 1764, 602, 713, 1202 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12441, 2021, 1205, 8917, 476, 4489, 279, 1557, 454, 3963, 1705, 2021, 1205, 519, 8917, 538, 476, 4489, 279, 2021, 779, 9295, 547, 519, 2112, 621, 568, 3020, 602, 2021, 779, 2112, 960, 729, 1271, 547, 31564, 779, 22638, 11802, 538, 269, 901, 1557, 4927, 3801, 547, 2491, 1946, 930, 2021, 3893, 519, 8917, 538, 476, 4489, 279, 676, 7234, 5256, 543, 4775, 21384, 1946, 1705, 2021, 1205, 519, 8917, 538, 476, 4489, 279, 269, 7033, 5202, 540, 2021, 781, 27049, 538, 519, 8087, 2829, 713, 2376, 949, 530, 344, 4040, 1185, 2907, 11292, 2021, 13359, 543, 27049, 2094, 476, 5908, 280, 268, 3583, 476, 4489, 279, 281, 519, 13524, 269, 898, 666, 849, 581, 11130, 602, 519, 2112, 1705, 2370, 547, 948, 2021, 2744, 519, 8917, 538, 476, 4489, 279, 32685, 272, 1705, 948, 2021, 547, 2744, 519, 8917, 1205, 707, 2688, 1557, 563, 12441, 2021, 1205, 519, 8917, 1813, 547, 741, 3646, 1557, 593, 1705, 2021, 1205, 519, 8917, 1813, 547, 741, 3646, 689, 547, 8917, 1946, 1705, 2021, 973, 10079, 519, 8917, 538, 476, 4489, 279, 269, 6744, 856, 938, 1283, 1863, 3594, 593, 530, 558, 839, 27049, 538, 31564, 676, 476, 4489, 279, 547, 948, 596, 2328, 707, 1378, 1557, 2634, 13519, 558, 6443, 1631, 21189, 3406, 1946, 1705, 2021, 1205, 519, 8917, 538, 476, 4489, 279, 1946, 1705, 269, 4828, 1603, 3391, 1946, 1705, 2021, 2744, 519, 8917, 538, 476, 4489, 279, 538, 476, 4489, 279, 1946, 1705, 2021, 3111, 547, 2744, 519, 8917, 1063, 476, 5002, 271, 268, 4489, 275, 563, 763, 1101, 1158, 2112, 519, 1101, 1158, 2112, 729, 519, 1034, 1271, 2601, 602, 2021, 941, 2111, 547, 1205, 519, 8917, 621, 5795, 873, 2816, 3255, 602, 789, 2760, 26927, 3139, 540, 269, 4208, 1705, 2021, 1205, 519, 8917, 538, 476, 4489, 279, 538, 476, 4489, 279, 267, 1310, 1296, 540, 2182, 960, 267, 2021, 6368, 12236, 519, 1318, 547, 8917, 1498, 713, 1152, 4294, 547, 2021, 936, 476, 1789, 269, 12984, 1158, 2112, 835, 519, 1034, 1271, 2601, 585, 2021, 1373, 2016, 519, 8917, 538, 476, 4489, 279, 5103, 1454, 24526, 5859, 532, 267, 799, 3769, 5051, 10795, 269, 2622, 2112, 835, 543, 2021, 1946, 1705, 2021, 1205, 519, 8917, 1247, 519, 2112, 568, 20295, 676, 930, 607, 1373, 519, 3815, 538, 11319, 14618, 547, 10962, 519, 476, 4489, 279, 269, 1280, 522, 13062, 21099, 3178, 1353, 1957, 476, 273, 5654, 693, 519, 1946, 2021, 1205, 519, 8917, 267, 2882, 981, 1570, 563, 2710, 596, 3858, 602, 2021, 521, 960, 1282, 519, 1101, 1158, 2112, 729, 811, 1271, 538, 11543, 873, 519, 8917, 1287, 741, 3527, 607, 3411, 571, 1326, 5052, 1354, 519, 2112, 269, 634, 1152, 2520, 3073, 1014, 11221, 1705, 2021, 1205, 8917, 476, 4489, 279, 1557, 7022, 540, 519, 8087, 2829, 2021, 781, 27049, 620, 823, 533, 4954, 14447, 548, 1434, 23136, 1289, 476, 280, 6078, 268, 6321, 278, 268, 15876, 276, 547, 24327, 269, 634, 2601, 2021, 2016, 519, 8917, 538, 476, 4489, 279, 2021, 941, 711, 5701, 607, 11224, 609, 2367, 1354, 519, 2034, 3368, 540, 519, 22733, 2540, 789, 1185, 547, 19533, 267, 23491, 741, 8152, 27512, 543, 269, 5131, 1557, 281, 621, 2982, 602, 972, 729, 1454, 1489, 585, 2021, 779, 27049, 855, 607, 638, 603, 267, 5103, 713, 2312, 16315, 540, 1489, 267, 543, 3875, 4620, 1431, 267, 1705, 269, 7046, 3561, 2630, 568, 606, 1557, 593, 1705, 2021, 1205, 519, 8917, 1813, 547, 741, 3646, 689, 4550, 3594, 267, 707, 2707, 585, 1382, 4574, 267, 3594, 267, 543, 2165, 1957, 1806, 563, 268, 1946, 1705, 2021, 1205, 519, 8917, 538, 476, 4489, 279, 2021, 1101, 21936, 539, 14618, 585, 7862, 538, 476, 13932, 280, 268, 855, 941, 5143, 602, 621, 729, 11991, 607, 741, 8152, 27512, 563, 268, 21744, 8456, 538, 21099, 2486, 2509, 2021, 729, 519, 1292, 2601, 1946, 2021, 6913, 519, 8917, 538, 476, 4489, 279, 875, 4977, 568, 713, 2070, 1946, 2021, 6913, 563, 268, 4828, 1603, 3391, 1946, 1705, 2021, 1205, 519, 8917, 538, 476, 4489, 279, 538, 476, 4489, 279, 2021, 6591, 519, 1318, 547, 8917, 585, 519, 1946, 1705, 2021, 3111, 547, 2744, 519, 8917, 1063, 563, 268, 634, 3411, 4048, 1235, 543, 3411, 571, 1326, 5052, 602, 12236, 2021, 519, 8917, 538, 476, 4489, 279, 1557, 593, 2021, 781, 27049, 538, 519, 476, 5197, 271, 1496, 15912, 281, 4574, 2021, 13359, 3411, 571, 1326, 5052, 316, 476, 4375, 276, 279, 1913, 563, 9558, 5296, 540, 1946, 1705, 2021, 1205, 519, 8917, 538, 476, 4489, 279, 1946, 1705, 2021, 1205, 519, 8917, 538, 476, 4489, 279, 2601, 476, 272, 281, 519, 3411, 571, 1326, 5052, 543, 3411, 4048, 1235, 1185, 1044, 2324, 547, 1205, 269, 7591, 539, 1934, 676, 7523, 15046, 582, 621, 4957, 519, 7819, 1379, 2497, 585, 519, 1985, 476, 2004, 1296, 538, 10213, 713, 1705, 2021, 1205, 8917, 476, 4489, 279, 1557, 1650, 2965, 269, 11352, 476, 31982, 277, 2537, 1888, 281, 875, 1705, 1158, 2112, 1775, 948, 666, 6598, 2021, 1205, 519, 8917, 621, 3323, 609, 562, 22088, 26818, 743, 2426, 779, 9525, 609, 2021, 779, 22344, 2191, 766, 9769, 267, 513, 269, 0, 9336, 1788, 1544, 814, 606, 1439, 4266, 15439, 2322, 267, 602, 781, 519, 4266, 950, 649, 1544, 593, 18138, 519, 960, 269, 21298, 267, 594, 4280, 513, 17354, 1018, 1010, 6015, 729, 602, 649, 1131, 9096, 593, 513, 4266, 602, 729, 1079, 3275, 4505, 982, 519, 9096, 4266, 269, 594, 6785, 602, 646, 729, 2324, 2182, 547, 1118, 602, 4755, 269, 1261, 2219, 827, 621, 543, 5795, 803, 606, 2626, 281, 476, 4037, 18336, 763, 1788, 9614, 729, 11821, 269, 2701, 1185, 513, 9096, 4266, 538, 1200, 8430, 602, 729, 513, 7008, 540, 3275, 2663, 982, 519, 4266, 594, 4280, 827, 269, 12984, 519, 17354, 711, 10213, 1200, 1945, 888, 296, 6045, 621, 713, 1259, 912, 268, 634, 1544, 568, 519, 1544, 568, 519, 1544, 269, 2334, 781, 519, 1655, 7058, 693, 960, 267, 546, 15342, 267, 29444, 267, 3092, 269, 23875, 538, 1010, 2626, 2242, 519, 1544, 269, 594, 1175, 1793, 573, 519, 4266, 2451, 543, 4280, 513, 2243, 827, 6015, 563, 268, 2334, 476, 4037, 260, 2626, 1131, 4440, 1689, 1169, 1554, 267, 3001, 2362, 610, 2539, 267, 952, 594, 941, 547, 2307, 519, 2243, 1169, 1554, 269, 1411, 1810, 1405, 1616, 547, 4188, 519, 1544, 1759, 593, 1018, 616, 9247, 7099, 2242, 563, 268, 1403, 594, 13603, 606, 4505, 4266, 267, 519, 6871, 1131, 15983, 979, 1524, 269, 1403, 594, 13603, 513, 2663, 4266, 267, 621, 1131, 979, 909, 269, 898, 3274, 4564, 513, 6015, 1377, 540, 18138, 593, 602, 4266, 563, 268, 1403, 646, 1185, 2016, 803, 513, 1297, 602, 729, 476, 3445, 260, 610, 476, 1911, 260, 543, 1185, 519, 1482, 2626, 1985, 3018, 610, 1985, 3923, 267, 596, 1131, 4440, 1616, 547, 4188, 519, 8430, 547, 2992, 4641, 563, 2080, 781, 606, 4277, 3635, 281, 1169, 3018, 267, 2307, 1614, 2055, 540, 707, 1788, 1291, 912, 268, 30151, 540, 18138, 1079, 3275, 2038, 563, 268, 30151, 540, 18138, 693, 519, 9709, 9096, 563, 268, 30151, 540, 18138, 1079, 3275, 3735, 563, 9199, 1188, 741, 4267, 936, 942, 269, 1411, 666, 1451, 513, 2603, 676, 3257, 713, 267, 543, 3006, 1205, 606, 2038, 9963, 540, 8373, 6619, 269, 1280, 803, 267, 519, 1483, 4324, 540, 713, 568, 547, 1294, 875, 519, 4267, 1689, 936, 942, 269, 1403, 596, 2811, 3478, 9237, 4267, 267, 596, 3513, 1294, 875, 519, 2063, 3018, 2731, 4682, 593, 519, 1788, 269, 0, 14294, 531, 2453, 538, 16643, 2511, 950, 596, 3442, 547, 946, 24185, 267, 1118, 2386, 602, 789, 616, 7471, 12347, 883, 519, 1257, 540, 707, 1957, 3988, 1058, 581, 2111, 547, 1847, 689, 707, 1378, 1913, 547, 519, 1913, 596, 10839, 1510, 4743, 606, 23589, 6521, 269, 1548, 616, 1439, 17084, 543, 3723, 17084, 7110, 606, 16643, 1957, 609, 3063, 1344, 789, 2270, 9450, 1382, 547, 1439, 17084, 585, 12319, 267, 16643, 3340, 269, 7442, 320, 6763, 585, 519, 7819, 5626, 7681, 1034, 4574, 602, 946, 16643, 11249, 543, 11239, 2511, 616, 1346, 2854, 538, 519, 1514, 9443, 281, 6530, 267, 1686, 267, 2797, 2257, 267, 9297, 267, 11585, 267, 543, 15257, 269, 7442, 320, 267, 15986, 267, 993, 320, 11239, 11718, 585, 1863, 713, 1907, 568, 513, 1863, 11239, 11718, 2228, 2139, 585, 3025, 538, 824, 1913, 267, 621, 568, 513, 1062, 610, 3684, 267, 799, 8850, 7140, 782, 707, 1543, 883, 6074, 14327, 5612, 563, 763, 1603, 4099, 533, 530, 4178, 3876, 342, 529, 1027, 340, 6280, 540, 5923, 15898, 2173, 611, 2581, 7819, 5626, 7681, 630, 23981, 264, 12319, 544, 713, 30453, 5956, 609, 2489, 4808, 827, 519, 2694, 540, 513, 1957, 596, 991, 547, 3561, 267, 543, 1287, 6799, 513, 5618, 269, 1215, 547, 3898, 707, 1557, 1210, 16643, 2511, 4808, 519, 3483, 540, 519, 538, 17856, 11239, 538, 938, 3594, 568, 547, 3277, 3988, 547, 519, 1592, 540, 8100, 269, 634, 16643, 12319, 1062, 568, 4122, 1031, 538, 519, 1514, 9443, 543, 2069, 267, 607, 1134, 607, 538, 4610, 971, 607, 8808, 621, 568, 513, 2385, 16375, 12319, 1062, 2959, 616, 11855, 538, 24324, 1369, 707, 1378, 5220, 547, 5815, 596, 723, 1031, 2093, 267, 1344, 267, 543, 24185, 689, 606, 269, 7442, 320, 3898, 281, 476, 1321, 2596, 3652, 513, 3391, 547, 16643, 3898, 543, 2511, 607, 596, 616, 1603, 707, 1957, 267, 621, 568, 1271, 547, 1331, 14327, 538, 707, 1257, 7114, 1141, 596, 563, 288, 11985, 11239, 2511, 4016, 547, 519, 3652, 543, 14908, 3964, 676, 519, 7819, 5626, 7681, 585, 25643, 2959, 1031, 538, 513, 1382, 1957, 16643, 2511, 3340, 1312, 538, 17856, 14327, 543, 513, 4704, 1592, 269, 12834, 281, 16643, 630, 26410, 5626, 7681, 264, 2511, 568, 1034, 4122, 1031, 547, 13712, 2959, 1369, 519, 1514, 9443, 713, 4199, 267, 15428, 2687, 547, 519, 476, 277, 555, 7160, 267, 2034, 8228, 540, 519, 16643, 8261, 267, 3091, 1806, 585, 519, 2489, 3898, 540, 16643, 1382, 4574, 267, 538, 17856, 14327, 267, 1439, 17084, 11721, 2393, 17084, 267, 543, 519, 4704, 2985, 269, 27375, 3684, 12814, 2337, 1053, 543, 4648, 5265, 5491, 519, 1344, 602, 789, 946, 13712, 2959, 538, 16643, 267, 15986, 267, 669, 8522, 267, 512, 12350, 1014, 267, 543, 3771, 10542, 585, 1863, 269, 7442, 320, 2511, 3896, 11239, 11718, 786, 948, 596, 3898, 538, 17856, 14327, 543, 8100, 1210, 513, 2039, 540, 4143, 2959, 585, 707, 1957, 568, 513, 1390, 2856, 1317, 621, 18327, 602, 596, 723, 21503, 707, 1888, 4922, 267, 865, 596, 616, 593, 707, 1259, 547, 23666, 707, 7548, 610, 17404, 269, 1323, 16643, 1382, 1957, 2203, 28114, 1642, 3599, 543, 740, 600, 1151, 6199, 5206, 519, 1739, 1382, 1957, 585, 519, 946, 543, 12319, 540, 741, 3875, 2959, 563, 1607, 3730, 3301, 12958, 8100, 538, 16643, 267, 993, 320, 267, 15986, 267, 669, 8522, 267, 1035, 338, 267, 607, 320, 267, 513, 1186, 320, 267, 543, 824, 12043, 267, 607, 1134, 607, 2337, 596, 1711, 519, 1655, 1957, 1224, 811, 827, 519, 1907, 2630, 669, 8522, 267, 3771, 10542, 11239, 11718, 281, 1118, 707, 4574, 19542, 269, 9669, 585, 1603, 513, 1382, 1957, 538, 16643, 3898, 281, 9238, 281, 14327, 910, 581, 2386, 547, 13712, 707, 2959, 3296, 540, 606, 16643, 1957, 269, 16869, 12649, 875, 547, 13712, 606, 1557, 2185, 2409, 281, 19696, 606, 1557, 538, 15986, 19696, 606, 1557, 538, 16643, 19696, 606, 1557, 538, 669, 8522, 2511, 781, 4063, 1532, 9560, 2762, 1062, 19696, 606, 1557, 538, 669, 8522, 2511, 781, 2278, 15082, 1062, 2146, 7117, 261, 320, 269, 2052, 1405, 1265, 513, 6325, 16643, 11239, 11249, 1383, 1413, 1100, 2417, 267, 519, 1557, 3028, 814, 2813, 519, 10700, 16643, 11239, 3391, 547, 948, 1053, 856, 563, 25456, 1557, 16643, 476, 277, 628, 7160, 5227, 11239, 544, 7251, 10735, 267, 2848, 1597, 513, 267, 3732, 1557, 16643, 476, 277, 628, 7160, 630, 1220, 280, 264, 325, 659, 8372, 12326, 543, 14245, 476, 14056, 269, 634, 16643, 2511, 2636, 585, 538, 17856, 14327, 267, 1463, 24185, 267, 543, 1439, 17084, 543, 3723, 17084, 621, 568, 849, 6087, 519, 2278, 547, 946, 519, 2250, 13029, 540, 13450, 538, 519, 1867, 720, 4441, 540, 519, 16643, 2511, 1331, 269, 7442, 320, 2511, 540, 11249, 568, 1759, 593, 10834, 519, 2278, 781, 2063, 2012, 543, 8313, 4266, 540, 1022, 4199, 596, 13712, 538, 707, 1957, 891, 10832 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 532, 23892, 8823, 547, 7520, 13261, 1344, 4393, 543, 6571, 540, 29886, 11605, 630, 4537, 777, 10098, 267, 476, 1001, 279, 1040, 3958, 267, 9977, 16644, 843, 19983, 10657, 630, 15425, 3951, 264, 3091, 10085, 19631, 7459, 6322, 693, 5355, 2385, 30512, 2792, 267, 2810, 2318, 4205, 267, 543, 13302, 28170, 633, 9979, 7700, 547, 28915, 13015, 630, 18250, 10468, 559, 1299, 670, 10603, 872, 11860, 580, 514, 267, 476, 1001, 271, 6393, 14483, 12367, 543, 8892, 19648, 692, 25748, 267, 972, 814, 1044, 3395, 6284, 540, 519, 2956, 540, 10128, 2686, 16169, 543, 8417, 950, 2324, 609, 3309, 5095, 12936, 676, 6689, 6057, 543, 10714, 269, 31943, 619, 1590, 2015, 2686, 7648, 538, 1920, 6384, 267, 7215, 540, 11605, 267, 543, 6788, 4478, 23930, 543, 948, 5498, 22701, 630, 305, 698, 6409, 534, 1696, 620, 1421, 476, 1001, 280, 1040, 5047, 267, 6932, 4066, 2709, 5499, 3255, 585, 12419, 8194, 25700, 7459, 3842, 7658, 1492, 2805, 5867, 267, 5691, 4641, 3156, 267, 543, 5985, 8924, 267, 7551, 9750, 10333, 547, 1454, 32571, 2533, 630, 29409, 1633, 1696, 620, 1421, 476, 1708, 272, 1040, 1306, 8441, 3136, 538, 519, 2361, 540, 8194, 6530, 267, 2417, 7634, 568, 2838, 547, 30881, 13857, 3344, 540, 6689, 6057, 543, 10714, 543, 11126, 4540, 7459, 780, 27066, 692, 17682, 604, 328, 267, 570, 269, 744, 1421, 645, 2674, 267, 808, 269, 700, 1421, 18307, 8718, 267, 654, 269, 623, 1421, 2037, 985, 267, 631, 269, 654, 1421, 590, 732, 523, 267, 808, 1421, 1299, 5839, 17524, 534, 267, 670, 269, 700, 269, 630, 1001, 272, 1040, 634, 2078, 1063, 1126, 6057, 543, 7766, 2042, 1851, 513, 25422, 11347, 3732, 540, 23671, 269, 8225, 4750, 540, 24741, 267, 476, 6321, 263, 279, 1070, 476, 5325, 280, 1700, 4366, 278, 269, 2999, 10059, 2517, 8742, 3820, 270, 1015, 269, 14056, 278, 260, 273, 293, 271, 3583, 6858, 275, 4391, 272, 10755, 7785, 3199, 274, 285, 692, 21574, 869, 267, 667, 269, 670, 1421, 1299, 667, 3120, 526, 267, 966, 269, 631, 269, 630, 1001, 276, 1040, 2806, 7538, 6530, 281, 1323, 32687, 1935, 630, 278, 628, 1196, 12175, 595, 1263, 720, 4804, 780, 29155, 4802, 518, 267, 700, 1421, 1299, 11875, 328, 2714, 267, 667, 269, 631, 269, 630, 32295, 12175, 630, 1220, 273, 1040, 20351, 6057, 540, 1453, 281, 589, 25156, 585, 9439, 269, 590, 720, 23549, 5549, 780, 289, 8681, 517, 267, 631, 1421, 13391, 13704, 267, 590, 1421, 5617, 323, 3205, 267, 623, 1421, 30038, 26856, 267, 645, 1421, 1299, 25303, 267, 595, 269, 630, 1220, 279, 1040, 1323, 26087, 532, 3978, 2013, 8039, 281, 1548, 666, 649, 1451, 827, 5773, 267, 3157, 543, 4093, 286, 715, 9915, 6717, 780, 290, 7897, 267, 661, 1421, 1299, 11023, 334, 267, 667, 269, 630, 1001, 279, 1040, 1715, 8846, 538, 1126, 10304, 2259, 281, 16237, 28517, 1533, 4204, 1126, 2669, 2689, 1949, 269, 4132, 28054, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 19185, 585, 8194, 5646, 18522, 286, 1411, 4076, 2097, 547, 519, 1318, 1747, 256, 3776, 2319, 540, 4966, 616, 1934, 547, 948, 596, 960, 998, 707, 8194, 543, 1205, 593, 519, 2619, 547, 7067, 269, 1284, 1174, 875, 2352, 621, 666, 581, 547, 4308, 609, 8194, 267, 543, 649, 1616, 547, 1683, 596, 609, 519, 1489, 596, 991, 269, 13555, 721, 2221, 547, 1451, 811, 827, 938, 2533, 543, 547, 8430, 513, 15360, 2336, 1432, 568, 23247, 6076, 18522, 888, 9199, 6373, 5646, 18522, 568, 513, 1826, 540, 3797, 602, 2337, 1004, 4308, 609, 519, 5626, 2360, 540, 8194, 269, 898, 666, 948, 1004, 547, 1184, 741, 8194, 267, 1174, 741, 6547, 267, 543, 1020, 12003, 6127, 269, 23247, 5646, 18522, 666, 581, 606, 2500, 2126, 585, 5403, 15779, 2566, 4524, 17971, 267, 4160, 267, 4965, 267, 543, 824, 2790, 1072, 2175, 563, 1432, 616, 519, 20050, 540, 23247, 888, 29819, 543, 2589, 540, 5403, 10177, 9964, 2566, 1331, 912, 268, 2271, 28424, 267, 1253, 7675, 543, 26688, 8823, 454, 268, 968, 14503, 1662, 10587, 892, 1107, 556, 7721, 704, 1329, 1424, 519, 8194, 267, 607, 952, 621, 568, 8345, 538, 519, 1459, 4090, 454, 268, 13957, 1768, 5558, 610, 3781, 2742, 637, 454, 268, 27275, 546, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 21609, 3125, 18816, 543, 10598, 937, 257, 607, 851, 540, 834, 25787, 1315, 23247, 10017, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 547, 606, 3078, 1158, 540, 1966, 9010, 543, 3375, 1818, 998, 6128, 256, 4653, 267, 649, 2811, 2469, 547, 2263, 513, 4241, 1523, 1572, 6348, 6441, 710, 541, 14691, 630, 301, 10861, 1040, 1411, 1522, 4898, 1018, 5752, 814, 547, 798, 609, 2979, 1107, 1810, 1405, 5855, 282, 621, 781, 711, 827, 8193, 256, 5502, 267, 1589, 540, 621, 899, 6061, 1950, 13410, 1210, 6310, 2553, 780, 5331, 596, 2811, 4058, 513, 4155, 7552, 609, 707, 2828, 269, 1703, 616, 865, 1082, 4025, 596, 1616, 547, 3643, 267, 855, 596, 1152, 723, 513, 1978, 2179, 540, 942, 543, 2724, 269, 1215, 1131, 596, 6430, 799, 4872, 547, 3247, 676, 543, 875, 1279, 547, 3251, 972, 286, 901, 2186, 540, 3510, 3322, 2789, 4632, 543, 10148, 267, 1175, 899, 538, 6348, 6441, 710, 541, 14691, 2439, 4131, 781, 1376, 609, 930, 9238, 1384, 1262, 1432, 568, 513, 4756, 286, 1262, 898, 781, 899, 606, 7164, 7274, 602, 666, 1689, 4470, 593, 824, 2188, 910, 585, 1383, 267, 519, 1297, 540, 2395, 6170, 593, 707, 4155, 7552, 610, 519, 6578, 21248, 585, 3154, 10473, 780, 1262, 1432, 616, 10148, 286, 1262, 1358, 2811, 3652, 602, 3970, 938, 5079, 910, 585, 3236, 267, 2348, 513, 6378, 2698, 6578, 610, 513, 5021, 1297, 540, 6117, 3108, 829, 1554, 780, 3086, 267, 1577, 781, 4685, 4514, 883, 6348, 6441, 710, 541, 14691, 1384, 1103, 5276, 5752, 267, 782, 3347, 1063, 4632, 616, 2786, 3515, 269, 1717, 267, 538, 1875, 31059, 5752, 267, 1346, 4296, 1831, 1225, 11803, 610, 2695, 580, 16744, 267, 3850, 721, 547, 2203, 811, 6946, 2042, 269, 1452, 2042, 1419, 4125, 21924, 610, 10893, 1945, 1247, 17598, 1585, 2175, 780, 2690, 1383, 267, 15475, 596, 1616, 547, 1265, 519, 1655, 8905, 585, 707, 4155, 7552, 547, 7413, 2951, 3845, 1247, 1869, 9683, 782, 5551, 4872, 1369, 707, 6578, 269, 4635, 1875, 31059, 5752, 2553, 267, 596, 1223, 1711, 4834, 8204, 9883, 1063, 4872, 267, 1942, 540, 4492, 4616, 267, 543, 1256, 1187, 2238, 693, 1142, 4087, 269, 3973, 267, 596, 9364, 4194, 713, 11015, 28879, 2439, 2080, 781, 513, 2241, 1383, 540, 513, 1875, 31059, 3830, 281, 586, 815, 1535, 317, 273, 269, 1403, 649, 2161, 1535, 4564, 519, 1297, 540, 5195, 9141, 538, 513, 1554, 267, 1287, 586, 3587, 519, 4009, 540, 602, 1871, 267, 4758, 721, 519, 1942, 540, 4492, 4616, 1759, 593, 13304, 720, 269, 1306, 596, 666, 1294, 267, 713, 2078, 3884, 1405, 513, 2786, 1899, 15042, 282, 3079, 267, 621, 3029, 513, 29236, 780, 4407, 1875, 31059, 5752, 4992, 7294, 267, 3314, 602, 621, 781, 3274, 1776, 1907, 547, 10994, 4101, 3664, 538, 1272, 269, 1924, 1985, 942, 596, 1544, 513, 1920, 16314, 610, 10891, 513, 1895, 1788, 267, 2015, 7311, 891, 3741, 269, 5808, 6487, 286, 9320, 596, 3513, 3605, 519, 7772, 540, 17306, 707, 4566, 1210, 6348, 6441, 710, 541, 14691, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 4134, 4184, 1149, 949, 948, 15538, 538, 2296, 267, 3943, 267, 1007, 267, 1482, 267, 610, 5053, 269, 15067, 1090, 619, 7153, 538, 31607, 15421, 949, 4952, 5532, 585, 15340, 1310, 2749, 609, 519, 20339, 269, 634, 3108, 1360, 2253, 12470, 564, 540, 1957, 543, 5178, 5202, 1296, 269, 14676, 5182, 1042, 538, 8028, 10933, 1590, 946, 519, 5207, 2640, 540, 10319, 6109, 2272, 267, 2866, 538, 31338, 602, 1412, 5207, 14258, 1412, 949, 5225, 1483, 2686, 2984, 547, 8028, 10933, 11271, 3168, 2390, 519, 5690, 267, 3461, 267, 568, 267, 543, 5359, 540, 1142, 3461, 14428, 903, 6509, 2872, 269, 634, 32000, 11814, 633, 20964, 1360, 9863, 22283, 513, 8792, 540, 4485, 547, 6095, 1676, 23564, 538, 1416, 6049, 5748, 11147, 269, 3962, 27356, 8124, 585, 1062, 538, 891, 2035, 10039, 24298, 6045, 593, 1007, 5561, 269, 4647, 28044, 338, 547, 979, 476, 1001, 276, 568, 15043, 883, 513, 4295, 27914, 540, 1489, 476, 2412, 4458, 6040, 609, 3908, 12318, 17156, 543, 1989, 574, 18125, 602, 1412, 332, 2250, 2550, 543, 22502, 13712, 3562, 1673, 16211, 602, 2995, 1317, 5259, 267, 6862, 2661, 269, 634, 715, 5085, 3041, 16369, 596, 616, 6947, 585, 1223, 723, 2404, 1163, 516, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 15239, 6441, 710, 541, 14691, 630, 301, 10861, 17983, 607, 851, 540, 834, 21316, 30388, 1315, 12430, 1299, 6348, 15035, 14691, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 7705, 281, 19850, 7585, 256, 594, 4862, 596, 2811, 4058, 513, 7552, 547, 12182, 25951, 2817, 5244, 585, 938, 16314, 269, 2334, 4992, 3078, 256, 5620, 596, 2479, 1044, 972, 1354, 2496, 7692, 281, 19743, 7705, 256, 8786, 267, 621, 786, 581, 1250, 1101, 942, 9683, 12182, 25951, 2817, 5244, 269, 594, 4312, 2141, 4941, 547, 2263, 3084, 11614, 1317, 789, 723, 865, 1454, 2470, 543, 5898, 269, 9578, 267, 594, 2648, 1565, 1007, 1919, 256, 1215, 827, 596, 2496, 8334, 281, 594, 4682, 972, 609, 1250, 1920, 950, 594, 729, 7820, 269, 898, 729, 971, 513, 1187, 1995, 256, 1284, 18423, 538, 513, 18241, 19970, 2282, 519, 6288, 267, 554, 27419, 998, 519, 4104, 267, 543, 1256, 6836, 856, 930, 3905, 20950, 269, 1358, 941, 3636, 543, 21363, 267, 1175, 899, 2921, 513, 8602, 1310, 513, 1279, 1554, 780, 7692, 281, 26272, 267, 602, 1281, 3280, 5863, 256, 1809, 1018, 616, 3905, 20950, 4010, 286, 1656, 1946, 798, 789, 1106, 538, 1978, 4025, 2496, 8334, 281, 4279, 2243, 267, 7585, 256, 12182, 20950, 616, 4646, 950, 15780, 4991, 12699, 676, 24232, 1648, 2620, 1369, 3047, 781, 12933, 269, 901, 3905, 1216, 14380, 909, 998, 18655, 538, 519, 7725, 2394, 621, 10301, 519, 2627, 267, 1141, 649, 666, 2972, 922, 14246, 269, 4595, 23916, 814, 15027, 2534, 9944, 922, 2627, 267, 621, 2306, 12182, 25951, 2817, 5244, 519, 3501, 1747, 585, 891, 3905, 20950, 547, 2408, 780, 7692, 281, 7937, 267, 594, 1294, 256, 1924, 952, 649, 3643, 713, 3084, 6288, 267, 649, 1522, 849, 1451, 827, 22747, 1932, 2496, 8334, 281, 22549, 256, 1411, 2760, 917, 1018, 4277, 5013, 596, 3513, 3605, 1247, 3695, 2470, 269, 3767, 1577, 803, 2285, 596, 1776, 9133, 1107, 2094, 1082, 824, 14666, 786, 2693, 1616, 547, 6001, 538, 1346, 4583, 3905, 20950, 267, 1118, 2386, 547, 1544, 707, 2238, 6619, 540, 942, 269, 2334, 1259, 267, 649, 666, 5150, 938, 5544, 2038, 543, 2057, 7996, 538, 1279, 3515, 780, 7692, 281, 8729, 585, 519, 5796, 267, 7705, 256, 1548, 3116, 1058, 649, 1832, 538, 2247, 1282, 938, 7552, 2496, 8334, 281, 4270, 267, 3314, 602, 3084, 11614, 1419, 723, 3652, 547, 2149, 1312, 8436, 543, 7320, 269, 1280, 1383, 267, 649, 1590, 3251, 593, 11280, 18162, 1247, 19482, 547, 2061, 3478, 4503, 610, 31362, 2371, 543, 2831, 269, 4746, 267, 2141, 2973, 909, 1310, 6000, 547, 948, 2226, 519, 6288, 781, 5898, 585, 2104, 5481, 780, 7692, 281, 2986, 1576, 256, 9861 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 6647, 25816, 326, 690, 928, 8843, 922, 2070, 593, 519, 16510, 540, 10871, 6052, 4578, 454, 11592, 540, 2070, 540, 513, 11347, 540, 8210, 5263, 10910, 20110, 928, 25575, 6647, 26990, 1495, 344, 1369, 744, 3918, 294, 2464, 10910, 20110, 928, 25575, 6647, 267, 519, 13636, 25076, 540, 6052, 543, 5682, 5264, 717, 1162, 1280, 519, 2063, 476, 276, 1296, 267, 18317, 5263, 814, 1044, 513, 7649, 540, 519, 744, 3918, 294, 2464, 1107, 13636, 6052, 543, 5682, 5264, 13937, 25076, 540, 10910, 20110, 928, 25575, 6647, 1107, 547, 5385, 267, 2445, 267, 3132, 543, 22412, 622, 1344, 593, 519, 1114, 20965, 2894, 2207, 294, 2465, 13772, 5018, 538, 29206, 3918, 294, 10001, 13317, 5314, 7797, 593, 8693, 7827, 2336, 7021, 519, 2063, 5722, 1296, 630, 1220, 278, 268, 1001, 275, 1070, 609, 519, 3804, 540, 5355, 6237, 4507, 267, 811, 982, 476, 1220, 271, 1857, 5238, 2066, 2342, 723, 1044, 1565, 689, 1142, 824, 998, 18756, 3609, 1565, 538, 476, 14225, 954, 2958, 1308, 3785, 6462, 676, 519, 29206, 3918, 294, 10001, 290, 16857, 9316, 10872, 269, 8889, 15670, 543, 9439, 5461, 547, 3710, 593, 519, 2833, 540, 741, 13413, 20965, 28158, 12057, 6571, 593, 30505, 476, 736, 7799, 320, 454, 7968, 4964, 24793, 476, 4962, 268, 1556, 268, 1001, 275, 21768, 9730, 2433, 5113, 267, 5398, 2657, 543, 5253, 8881, 13669, 802, 547, 581, 4371, 538, 7799, 320, 1985, 3923, 1058, 5512, 2518, 4891, 547, 3914, 606, 16529, 2916, 6876, 538, 8303, 538, 476, 1001, 276, 267, 865, 607, 547, 1832, 519, 1158, 593, 3950, 585, 513, 1016, 268, 273, 9180, 2916, 8337, 9183, 267, 12057, 1767, 538, 513, 6571, 20366, 593, 20965, 25332, 969, 2218, 1107, 14502, 25679, 540, 10255, 6052, 25076, 454, 300, 10129, 8017, 723, 3908, 610, 1100, 1569, 547, 1648, 4616, 1239, 540, 1857, 5656, 267, 1857, 8654, 267, 3560, 267, 519, 10821, 543, 24596, 5823, 267, 607, 1134, 607, 1648, 3812, 689, 7791, 1648, 2959, 269, 4578, 689, 891, 9922, 616, 1898, 267, 2523, 538, 1648, 4058, 269, 0, 9336, 10805, 6389, 2012, 814, 513, 5934, 540, 476, 273, 8745, 18218, 5638, 602, 1397, 1141, 621, 568, 18799, 1775, 4318, 269, 676, 1210, 891, 5638, 596, 1463, 707, 6389, 2232, 547, 519, 13763, 540, 513, 1808, 16475, 2754, 269, 901, 1259, 267, 596, 723, 1312, 707, 3135, 543, 707, 552, 2173, 5661, 17411, 676, 519, 3169, 1482, 2754, 269, 2201, 519, 2539, 1377, 540, 519, 23792, 8745, 3590, 630, 291, 10064, 1070, 2705, 267, 972, 616, 6266, 540, 824, 5638, 267, 585, 3236, 589, 543, 631, 311, 269, 634, 1101, 835, 8761, 799, 7746, 9388, 609, 519, 3135, 585, 513, 2016, 6389, 543, 568, 2141, 606, 7379, 2232, 630, 13136, 269, 14096, 269, 14138, 269, 1556, 1070, 1247, 519, 8545, 2982, 799, 7746, 20362, 519, 552, 2173, 5661, 543, 568, 2141, 606, 21229, 534, 10179, 545, 5569, 630, 332, 343, 272, 269, 3256, 664, 2593, 1040, 1280, 3236, 267, 950, 596, 1826, 513, 6389, 2232, 538, 707, 1357, 11422, 267, 707, 7662, 568, 2366, 998, 519, 2518, 22665, 1062, 547, 519, 2754, 4171, 22085, 5638, 519, 6389, 3096, 543, 689, 972, 596, 786, 581, 2366, 547, 519, 13763, 540, 513, 1114, 8502, 3177, 596, 723, 1305, 606, 7379, 2232, 540, 519, 8545, 607, 606, 589, 2594, 585, 707, 6389, 2232, 269, 11109, 5094, 5638, 585, 519, 3896, 543, 519, 552, 2173, 5661, 5267, 602, 596, 1223, 723, 707, 3135, 543, 707, 552, 2173, 5661, 609, 1079, 1114, 3549, 952, 596, 9364, 899, 269, 0, 289, 2117, 1712, 540, 5020, 9625, 12713, 3080, 9625, 26085, 11595, 7732, 9625, 595, 3951, 2464, 9625, 26658, 5839, 4954, 599, 7732, 9625, 15610, 540, 5020, 630, 292, 5357, 264, 9625, 30673, 6732, 4260, 11594, 9625, 12551, 26015, 9625, 8419, 7467, 540, 7849, 3778, 594, 577, 20321, 1108, 4972, 9625, 26838, 9281, 9625, 5616, 10104, 9625, 594, 2316, 306, 9625, 594, 30002, 4414, 8266, 630, 1320, 805, 2989, 21073, 264, 9625, 13149, 15661, 22384, 5800, 531, 9625, 12135, 10292, 630, 23809, 267, 2637, 289, 1678, 267, 3092, 4700, 9625, 7909, 12713, 613, 4919, 6176, 3590, 9625, 12813, 5308, 9625, 590, 7644, 3041, 9625, 10326, 540, 5020, 5680, 5741, 9625, 6167, 7968, 8862, 290, 10157, 15661, 18482, 9625, 654, 334, 305, 5960, 454, 290, 12505, 27627, 798, 711, 723, 7729, 30416, 543, 2043, 616, 18784, 269, 7261, 534, 27627, 666, 5000, 519, 13247, 610, 13250, 540, 7513, 19941, 547, 3132, 3982, 11159, 4703, 538, 5888, 602, 723, 8323, 593, 519, 13837, 331, 3233, 269, 7261, 534, 14385, 658, 544, 2432, 941, 1034, 10731, 1354, 519, 4720, 540, 6692, 569, 12550, 2675, 8084, 7103, 267, 855, 789, 1869, 2291, 2221, 630, 560, 668, 520, 565, 2572, 616, 15451, 544, 2432, 609, 513, 22495, 730, 4835, 2497, 1040, 21563, 9926, 334, 753, 543, 1835, 27546, 267, 1455, 20334, 547, 7286, 21439, 1282, 519, 7323, 13490, 1014, 630, 1721, 1383, 1070, 3812, 513, 1360, 1114, 2186, 540, 544, 895, 269, 21563, 9926, 334, 753, 616, 1507, 543, 519, 7729, 30416, 540, 1835, 27546, 30477, 3433, 269, 1717, 267, 536, 787, 9926, 15351, 543, 1835, 32009, 803, 27595, 666, 6414, 936, 942, 543, 3132, 5888, 958, 3982, 4703, 540, 11159, 609, 18254, 531, 8323, 563, 7628, 20282, 267, 519, 5256, 15454, 11818, 16356, 786, 11116, 693, 519, 4775, 781, 1560, 610, 27634, 547, 3180, 5196, 1200, 585, 2941, 1637, 269, 6145, 824, 1270, 22044, 16142, 267, 621, 568, 642, 643, 760, 541, 748, 281, 2899, 519, 3384, 24201, 9688, 741, 3761, 540, 586, 13083, 267, 519, 586, 13083, 5485, 10953, 883, 513, 726, 659, 1581, 4276, 602, 2771, 1622, 873, 547, 2165, 269, 3962, 4775, 814, 513, 2582, 6198, 9065, 776, 630, 517, 519, 1318, 2427, 264, 543, 1079, 6198, 14685, 4926, 269, 2290, 547, 2185, 4996, 1186, 630, 338, 1460, 538, 16127, 264, 616, 4535, 1169, 824, 1032, 282, 519, 1297, 540, 1762, 4679, 609, 4775, 2450, 269, 6480, 23660, 540, 519, 32460, 1974, 2039, 689, 476, 280, 547, 476, 1691, 3275, 269, 3487, 584, 819, 568, 2219, 547, 1491, 1747, 689, 5147, 547, 4864, 538, 519, 8828, 25955, 543, 689, 4728, 547, 5147, 538, 519, 8832, 25955, 269, 1717, 267, 8951, 609, 834, 21459, 3856, 24201, 257, 723, 849, 1044, 4080, 538, 519, 2887, 1055, 661, 2908, 564, 752, 269, 634, 29507, 2268, 476, 3393, 1700, 2568, 4699, 630, 1240, 1700, 2190, 538, 264, 1279, 269, 20351, 30553, 4386, 693, 1472, 5722, 1296, 540, 2085, 267, 950, 519, 9038, 616, 476, 272, 269, 274, 1700, 272, 269, 276, 544, 630, 275, 269, 274, 1700, 275, 269, 280, 10264, 264, 1279, 543, 8951, 616, 476, 272, 269, 273, 1700, 272, 269, 275, 544, 630, 274, 269, 280, 1700, 275, 269, 277, 10264, 264, 1279, 269, 12339, 2297, 593, 519, 4279, 4446, 8175, 24035, 9921, 693, 476, 1556, 1296, 540, 2085, 267, 2663, 982, 693, 824, 6753, 267, 543, 693, 513, 5594, 3677, 2450, 269, 634, 14438, 568, 693, 2547, 476, 1839, 1296, 563, 2467, 568, 2370, 2963, 540, 16857, 640, 538, 519, 15454, 11818, 16356, 282, 2043, 786, 20496, 1866, 540, 741, 2249, 10024, 543, 8023, 1369, 741, 1753, 9832, 269, 5510, 16127, 267, 2043, 949, 3251, 1472, 519, 1482, 851, 540, 519, 11818, 585, 909, 547, 1614, 1296, 267, 1247, 693, 681, 836, 10098, 320, 267, 789, 5781, 6521, 741, 6753, 676, 909, 547, 476, 1428, 5998, 630, 280, 269, 274, 11465, 1040, 10572, 15454, 11818, 16142, 693, 661, 2908, 564, 752, 1831, 3810, 10728, 693, 1808, 6753, 267, 11021, 789, 949, 8858, 8789, 2623, 936, 824, 16142, 538, 741, 1753, 2127, 563, 294, 9445, 11818, 16142, 616, 3728, 1606, 342, 21148, 267, 26227, 11975, 602, 3049, 5097, 593, 1863, 1606, 342, 21148, 536, 3415, 24991, 543, 524, 31525, 641, 16104, 269, 4256, 10728, 1629, 6756, 528, 6087, 873, 547, 20441, 1082, 824, 16356, 2249, 593, 519, 11818, 267, 5103, 741, 9793, 2450, 269, 3509, 15454, 11818, 16142, 723, 513, 1753, 2039, 593, 513, 1808, 1858, 540, 519, 11818, 267, 547, 799, 789, 16111, 2132, 269, 1717, 267, 789, 616, 1514, 2864, 982, 16857, 269, 4438, 519, 1554, 267, 891, 16142, 1419, 1106, 2516, 540, 2947, 547, 476, 736, 2043, 2282, 14147, 11818, 6749, 32187, 267, 24590, 909, 538, 519, 10543, 607, 519, 16142, 2253, 547, 6968, 269, 16989, 8951, 849, 1106, 2516, 538, 1360, 13719, 1216, 267, 1141, 519, 2362, 1216, 2837, 949, 17108, 741, 2208, 610, 602, 540, 741, 796, 9799, 1762, 269, 6145, 824, 2818, 540, 922, 1920, 267, 519, 15454, 11818, 16356, 568, 642, 643, 760, 541, 748, 267, 2495, 519, 3993, 16138, 8460, 1200, 24201, 998, 513, 726, 659, 1581, 4276, 269, 22175, 1562, 540, 835, 547, 3670, 4996, 1186, 616, 4535, 1169, 824, 1032, 563, 5445, 616, 849, 1336, 538, 22600, 17311, 2127, 267, 3001, 538, 543, 856, 609, 519, 20352, 543, 1256, 538, 4195, 1216, 2282, 519, 4262, 269, 1358, 2049, 2206, 569, 610, 538, 1507, 2516, 269, 20661, 1419, 14919, 538, 11818, 9055, 693, 1970, 20352, 269, 901, 568, 835, 540, 519, 1614, 1034, 1455, 11818, 16142, 538, 519, 21475, 6261, 6680, 267, 519, 1079, 1866, 616, 519, 15454, 11818, 16356, 267, 595, 1105, 541, 327, 19434, 5605, 569, 337, 1506, 333, 577, 657, 543, 17642, 564, 760, 11818, 16356, 267, 570, 6319, 523, 31788, 1073, 4615, 563, 763, 15454, 11818, 16356, 630, 290, 1105, 541, 327, 19434, 5605, 569, 337, 1506, 333, 577, 657, 267, 3006, 4413, 335, 8215, 5605, 569, 337, 1506, 333, 577, 639, 610, 5605, 569, 9071, 514, 577, 657, 264, 568, 513, 2249, 540, 1270, 22044, 16356, 267, 538, 519, 1920, 595, 1105, 541, 327, 514, 13160, 269, 2290, 540, 519, 1034, 1455, 11818, 16142, 538, 519, 21475, 6261, 6680, 267, 621, 568, 1336, 607, 2484, 7532, 607, 14914, 6816, 543, 607, 2484, 7178, 607, 3162, 4000, 269, 901, 2249, 568, 1034, 1419, 2938, 538, 13719, 1216, 2282, 519, 6749, 32187, 540, 14147, 18625, 269, 634, 15454, 11818, 16356, 814, 519, 6093, 834, 872, 325, 16356, 257, 3337, 267, 609, 513, 3376, 267, 5180, 2879, 719, 543, 1804, 4064, 269, 901, 2249, 666, 581, 13747, 689, 2147, 2249, 676, 519, 10750, 610, 3043, 2389, 5792, 1101, 24725, 1710, 267, 519, 4158, 4388, 593, 519, 824, 27634, 267, 519, 3376, 267, 3109, 15493, 14345, 593, 519, 2766, 1710, 267, 543, 519, 3668, 540, 513, 25170, 1063, 519, 24725, 27634, 269, 4107, 2043, 616, 1447, 982, 476, 272, 269, 280, 544, 630, 277, 269, 273, 10264, 264, 1279, 563, 8601, 922, 11606, 538, 1978, 2127, 267, 519, 12144, 11818, 16356, 568, 835, 540, 519, 2547, 24713, 1221, 1804, 1270, 22044, 16142, 269, 1358, 616, 5156, 547, 1404, 513, 2101, 1909, 538, 5935, 12144, 11818, 2950, 269, 1452, 16142, 616, 811, 3742, 693, 3781, 267, 609, 1100, 2963, 540, 12119, 2242, 538, 2534, 610, 9194, 269, 4236, 32596, 4043, 547, 2611, 538, 513, 22297, 1858, 2429, 519, 1032, 267, 1247, 4079, 2039, 936, 513, 9962, 1858, 563, 763, 834, 327, 4875, 257, 3463, 4159, 540, 519, 15454, 11818, 16356, 568, 519, 1034, 14733, 543, 1134, 8153, 30748, 2065, 4159, 630, 320, 4159, 9859, 2509, 15712, 610, 6937, 264, 540, 1022, 16356, 269, 15766, 725, 540, 713, 2623, 723, 1044, 5059, 593, 519, 5114, 540, 16142, 547, 16042, 4129, 267, 930, 540, 799, 723, 19411, 730, 538, 6285, 269, 634, 4159, 5161, 540, 519, 16356, 9870, 922, 2879, 719, 267, 21177, 922, 533, 624, 7394, 27634, 267, 2895, 532, 922, 1394, 267, 543, 1225, 1324, 922, 1560, 2663, 958, 269, 2755, 8066, 713, 14302, 267, 519, 16356, 7669, 338, 609, 513, 13888, 267, 27105, 2427, 3562, 20933, 5163, 267, 3006, 5916, 609, 20061, 610, 4137, 268, 279, 17787, 269, 634, 8515, 540, 519, 4159, 4679, 952, 519, 16356, 568, 811, 5702, 14059, 610, 952, 9465, 616, 17527, 922, 9101, 11507, 267, 971, 607, 21056, 610, 824, 16142, 269, 1403, 519, 11651, 26251, 267, 519, 16356, 786, 2901, 18956, 610, 10131, 513, 4028, 1930, 2173, 719, 1117, 4323, 267, 1793, 4770, 609, 922, 5580, 4522, 563, 7069, 1753, 538, 519, 14147, 18625, 568, 1373, 8697, 676, 5836, 3679, 2305, 30147, 4386, 950, 519, 5836, 25309, 3327, 543, 3587, 3679, 1881, 269, 594, 2648, 2713, 1851, 14762, 18625, 267, 855, 2810, 3679, 2305, 9714, 525, 519, 2168, 2497, 540, 891, 18625, 267, 8380, 1250, 7226, 543, 1426, 3761, 693, 1981, 269, 901, 5540, 782, 519, 7068, 2713, 1851, 519, 11818, 1765, 2254, 1175 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6581, 518, 966, 7860, 538, 476, 2641, 560, 31588, 1722, 1977, 9085, 692, 7072, 912, 1103, 519, 2250, 1906, 5756, 267, 972, 723, 1044, 1082, 2242, 538, 938, 2486, 267, 1519, 875, 649, 1589, 827, 4008, 3961, 543, 14920, 269, 13834, 4016, 547, 519, 5107, 267, 5615, 267, 2238, 267, 543, 6788, 602, 513, 2486, 15109, 3617, 585, 2367, 543, 2021, 269, 20351, 10066, 6257, 945, 2576, 7959, 13631, 547, 14156, 543, 9308, 269, 4653, 267, 811, 543, 811, 1004, 616, 16175, 11589, 741, 9163, 543, 2833, 998, 3332, 267, 1148, 267, 2575, 267, 543, 824, 3860, 3029, 269, 901, 1576, 786, 6338, 596, 547, 930, 6909, 4589, 543, 2984, 602, 2671, 3309, 20210, 9739, 538, 476, 2641, 560, 10601, 3013, 780, 4089, 476, 272, 281, 4197, 6206, 16301, 454, 6524, 11362, 883, 891, 9735, 2835, 267, 1577, 781, 12172, 1018, 649, 1611, 676, 834, 4302, 518, 1701, 25214, 267, 834, 4302, 518, 257, 729, 1031, 607, 513, 2942, 2165, 1996, 1346, 609, 1875, 5991, 768, 894, 4638, 31223, 543, 4008, 9163, 269, 1717, 267, 5063, 267, 1082, 11806, 266, 2043, 723, 556, 13094, 519, 2165, 834, 4302, 518, 257, 547, 3277, 547, 4896, 945, 1281, 711, 2697, 607, 14553, 10636, 18400, 630, 3430, 26167, 1152, 547, 6587, 3023, 264, 543, 28250, 14054, 630, 1211, 4328, 609, 835, 781, 8655, 4332, 4008, 1040, 1635, 1210, 834, 4302, 518, 2437, 649, 666, 1711, 513, 6626, 22597, 2165, 21214, 1585, 9163, 543, 2833, 780, 4089, 476, 273, 281, 10289, 7756, 5772, 885, 3414, 11470, 454, 6624, 4207, 5830, 946, 5708, 607, 513, 1259, 547, 2263, 1950, 3584, 899, 4008, 3961, 543, 14920, 22992, 269, 1280, 1383, 267, 5981, 717, 3626, 781, 3209, 6723, 6645, 519, 1650, 540, 513, 1098, 8004, 3957, 9253, 20811, 945, 18387, 1406, 2943, 5143, 1200, 1920, 610, 2828, 1352, 779, 513, 8004, 1317, 789, 1294, 1200, 607, 513, 7911, 269, 10801, 519, 1433, 267, 9253, 20811, 8188, 2591, 855, 849, 25395, 16167, 1851, 1200, 15032, 267, 6029, 3988, 519, 2956, 540, 6568, 543, 1620, 780, 5194, 1390, 1224, 568, 6424, 23821, 603, 534, 781, 5565, 27258, 918, 1170, 532, 267, 799, 5205, 1079, 18295, 8695, 3843, 547, 1305, 513, 2871, 514, 1145, 2622, 16680, 585, 519, 13074, 21098, 1247, 4687, 741, 2123, 9620, 543, 29217, 269, 3958, 267, 18148, 1325, 790, 590, 5451, 20044, 781, 17127, 543, 667, 14397, 13028, 519, 31981, 540, 519, 17807, 7710, 519, 19806, 4040, 2078, 1063, 1079, 11204, 12677, 8695, 3395, 909, 538, 4432, 17131, 334, 267, 7147, 1282, 519, 3735, 476, 2735, 271, 338, 269, 1452, 9089, 2709, 11541, 3197, 543, 8903, 6386, 602, 948, 721, 1174, 1114, 5380, 1369, 519, 20210, 2146, 780, 4089, 476, 274, 281, 28249, 1275, 910, 26157, 13038, 5772, 885, 454, 27269, 267, 1004, 3180, 2789, 1514, 9163, 8195, 1765, 3697, 1373, 1312, 14447, 543, 21337, 267, 610, 24139, 543, 16981, 269, 1879, 7234, 20210, 2152, 267, 621, 781, 1898, 547, 2015, 28622, 267, 513, 1523, 22579, 676, 13690, 828, 331, 2946, 11511, 985, 24849, 10223, 875, 20718, 9163, 1764, 1367, 2833, 269, 1280, 3236, 267, 681, 7534, 13879, 8566, 2117, 807, 781, 623, 2529, 269, 2142, 18479, 1597, 2934, 5548, 874, 710, 267, 513, 4563, 8004, 4947, 547, 2474, 609, 1200, 4587, 11078, 781, 27503, 15832, 609, 1776, 8004, 269, 3414, 5548, 874, 710, 781, 4064, 267, 649, 7198, 519, 28963, 540, 5198, 267, 2085, 267, 543, 14920, 269, 6684, 267, 631, 1229, 603, 15570, 810, 781, 1403, 594, 12984, 2659, 21756, 6212, 593, 2549, 7701, 267, 513, 1098, 8004, 10188, 1272, 538, 513, 1507, 8828, 4884, 1310, 3001, 972, 1739, 1200, 5912, 269, 5637, 2835, 18991, 9414, 519, 6988, 540, 8066, 1896, 1514, 9163, 693, 2899, 780, 6962, 912, 3528, 3695, 1568, 2854, 676, 543, 827, 20210, 2043, 267, 649, 22962, 938, 20030, 543, 1020, 3152, 8296, 2509, 1866, 262, 2189, 15322, 269, 5457, 267, 3025, 781, 1995, 568, 4570, 543, 4502, 6217, 269, 1924, 10544, 835, 540, 891, 5863, 2835, 267, 7017, 1524, 12341, 6899, 267, 543, 2972, 18167, 883, 519, 3638, 13795, 540, 20210, 9739, 538, 476, 2641, 560, 10601, 1977, 3332, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2108, 306, 7739, 1464, 892, 568, 513, 1883, 2856, 593, 2852, 3786, 4926, 538, 519, 2136, 2276, 543, 519, 1964, 540, 519, 5375, 1158, 269, 1677, 519, 5667, 639, 1051, 532, 267, 6940, 568, 1175, 513, 1007, 2012, 585, 2825, 1143, 269, 1809, 519, 2262, 2731, 7436, 856, 513, 1007, 543, 3677, 20748, 8513, 538, 799, 1225, 339, 9430, 2804, 267, 2797, 267, 543, 7214, 15698, 568, 519, 3902, 602, 1590, 581, 6976, 1631, 547, 2327, 519, 10304, 540, 2104, 5481, 563, 1607, 1867, 568, 519, 1101, 538, 3829, 2565, 1353, 540, 519, 6940, 3350, 538, 2362, 2069, 269, 634, 3350, 267, 540, 1576, 267, 11498, 1134, 3564, 519, 2852, 13464, 269, 898, 5540, 5428, 6214, 267, 2229, 29904, 6483, 267, 519, 1648, 2872, 267, 21035, 267, 3506, 267, 543, 6800, 269, 1809, 519, 2852, 13464, 568, 1141, 519, 3350, 4991, 922, 5639, 540, 6392, 267, 543, 1141, 621, 28633, 519, 5784, 543, 12981, 519, 3007, 540, 1762, 1004, 563, 4407, 649, 1491, 1100, 2990, 538, 519, 2916, 1689, 7521, 267, 649, 1445, 538, 713, 1353, 593, 875, 519, 6940, 3350, 814, 25302, 2362, 2069, 269, 1284, 4983, 519, 2800, 621, 814, 2944, 547, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 20075, 518, 966, 7860, 538, 476, 2641, 560, 31588, 1722, 1977, 9085, 257, 607, 851, 540, 834, 11227, 1315, 2622, 9085, 1315, 1977, 1315, 476, 2641, 560, 11416, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 17345, 5149, 281, 7087, 19932, 538, 519, 17113, 910, 634, 11957, 540, 4860, 1388, 1944, 7111, 19932, 692, 7072, 912, 5970, 596, 2479, 9289, 875, 1082, 4654, 616, 9275, 538, 519, 1158, 286, 4340, 547, 6599, 333, 860, 826, 267, 972, 616, 1472, 476, 278, 267, 14056, 2713, 4654, 256, 10251, 267, 930, 540, 891, 4654, 616, 693, 1981, 540, 7106, 8960, 11014, 1813, 547, 3140, 2621, 899, 17091, 543, 14051, 269, 901, 1770, 6212, 593, 6805, 4654, 538, 519, 17113, 543, 1946, 621, 781, 1898, 547, 8190, 873, 998, 26016, 1436, 3646, 269, 1635, 1565, 827, 13155, 4654, 543, 741, 4529, 267, 649, 666, 5660, 4763, 543, 3895, 13784, 780, 8893, 476, 272, 281, 1548, 3657, 7087, 19932, 888, 5331, 6340, 707, 1378, 2189, 1893, 609, 922, 3982, 4992, 267, 1913, 267, 8239, 267, 543, 2528, 269, 2334, 781, 1018, 1373, 851, 540, 606, 6805, 2146, 1797, 256, 1452, 2950, 723, 5030, 538, 1808, 4525, 585, 5481, 267, 8497, 741, 5389, 543, 4654, 269, 1703, 616, 811, 982, 476, 28794, 6444, 11031, 538, 519, 2136, 2276, 4805, 256, 3509, 540, 1346, 11031, 3717, 1114, 4654, 267, 799, 2306, 938, 2197, 8059, 12264, 3309, 780, 14300, 281, 2368, 1455, 6805, 4654, 538, 3345, 3013, 1331, 18937, 26953, 630, 4944, 7505, 538, 14151, 267, 18096, 267, 543, 1715, 6792, 1070, 31180, 630, 514, 20274, 543, 3345, 10491, 1070, 543, 744, 329, 756, 933, 630, 27146, 3320, 538, 16506, 1040, 3962, 14316, 814, 922, 1686, 267, 9821, 267, 543, 22463, 1369, 741, 9757, 4654, 780, 8893, 476, 273, 281, 4208, 9701, 1284, 5516, 6168, 29510, 19932, 888, 299, 16722, 4163, 2984, 267, 4978, 267, 12583, 267, 543, 2686, 2418, 5293, 1524, 998, 5481, 269, 1879, 789, 14897, 267, 865, 1281, 5553, 17489, 7326, 269, 1280, 1383, 267, 1978, 2371, 949, 3180, 16392, 3601, 1634, 1152, 547, 22242, 945, 3717, 1880, 4654, 269, 700, 3151, 971, 1344, 1223, 1611, 9561, 1761, 524, 999, 543, 5574, 585, 1585, 10108, 269, 5047, 267, 1169, 1268, 19262, 6284, 543, 2463, 585, 741, 6561, 282, 7863, 5065, 4654, 5849, 713, 15683, 780, 12244, 281, 5994, 952, 2296, 10393, 2968, 17255, 14182, 269, 1215, 1131, 596, 1745, 6616, 782, 2835, 2854, 538, 2296, 1223, 1100, 3476, 581, 1224, 8259, 12261, 883, 1776, 1893, 286, 3767, 1589, 827, 4130, 2950, 6849, 713, 4641, 3232, 22924, 4665, 919, 721, 547, 948, 2149, 891, 10475, 4654, 780, 8893, 476, 274, 281, 4860, 1388, 1436, 27557, 454, 15430, 6326, 6805, 4654, 3340, 3742, 4674, 689, 1312, 3330, 543, 3544, 2950, 269, 22749, 267, 3506, 267, 3885, 267, 543, 2043, 12840, 1210, 2994, 899, 21599, 3292, 267, 19636, 2069, 267, 543, 2029, 5867, 269, 2290, 8037, 1967, 1650, 2501, 689, 519, 8575, 9461, 1004, 540, 1715, 10215, 267, 4171, 1893, 6450, 15903, 1310, 5756, 540, 7771, 7064, 547, 2229, 1489, 543, 29065, 7341, 780, 7078, 281, 1323, 11121, 4137, 538, 713, 3350, 568, 30227, 8053, 2401, 267, 513, 8059, 626, 6131, 547, 9494, 9691, 13155, 4654, 5001, 269, 1261, 5249, 5702, 609, 519, 570, 1782, 527, 2146, 538, 14522, 267, 2870, 2200, 543, 2645, 547, 4001, 7820, 5481, 741, 18577, 11469, 780, 6962, 912, 3528, 1620, 519, 2956, 540, 6805, 4654, 543, 10283, 538, 26016, 1436, 3646, 267, 649, 10802, 2486, 781, 13795, 1247, 16779, 12790, 2516, 269, 2913, 781, 8956, 519, 9371, 540, 14388, 2950, 676, 5009, 18371, 1143, 543, 8508, 10409, 4763, 269, 5457, 267, 1142, 2262, 10710, 8309, 547, 8103, 781, 7104, 5763, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 19604, 4011, 26753, 5398, 7732, 454, 1708, 274, 4446, 5886, 1299, 32201, 13028, 15356, 12736, 1676, 454, 16524, 4289, 539, 585, 519, 12448, 31257, 2405, 1023, 540, 28742, 454, 288, 2185, 4458, 6040, 21007, 685, 330, 2742, 336, 8004, 4422, 7508, 689, 519, 4544, 9440, 4610, 540, 19051, 267, 26354, 513, 9814, 602, 786, 20807, 519, 15000, 267, 19586, 513, 1920, 267, 543, 2611, 5667, 9407, 585, 5176, 15823, 1296, 454, 21202, 10875, 26813, 827, 2648, 267, 5198, 267, 30468, 267, 543, 519, 2545, 332, 540, 19807, 1701, 2443, 10144, 267, 589, 7454, 1715, 3883, 454, 20809, 476, 3422, 273, 269, 589, 21007, 685, 330, 2742, 336, 1920, 689, 25429, 32108, 21128, 538, 19051, 547, 4584, 30207, 585, 519, 4832, 269, 1284, 4060, 2663, 267, 2185, 4458, 6040, 25288, 773, 267, 519, 1920, 779, 21836, 1126, 267, 8709, 8460, 269, 2701, 568, 2063, 2938, 676, 1200, 3670, 4458, 6040, 7015, 267, 15608, 267, 9361, 593, 513, 5172, 4224, 693, 519, 6316, 540, 513, 10874, 787, 2361, 269, 15608, 786, 2611, 1253, 571, 9853, 676, 1010, 11078, 779, 14897, 766, 585, 1296, 547, 2097, 563, 1103, 19051, 267, 513, 1762, 8004, 3957, 11870, 320, 9428, 909, 607, 519, 1152, 1126, 540, 606, 3413, 23308, 1920, 269, 4173, 4651, 568, 14156, 11397, 267, 1200, 3993, 24858, 569, 936, 23181, 633, 269, 11870, 320, 568, 1419, 30223, 676, 18596, 9909, 543, 22649, 602, 3100, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 9358, 7582, 22723, 13493, 1315, 5678, 5530, 1315, 7087, 19932, 538, 519, 17113, 1315, 4860, 1388, 1436, 27557, 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, 8702, 547, 606, 3078, 3460, 883, 519, 1158, 540, 2257, 256, 4653, 649, 2811, 2469, 547, 1451, 827, 513, 2731, 3579, 1907, 1572, 22263, 17992, 5606, 14518, 15190, 18122, 267, 610, 674, 2316, 305, 585, 2110, 269, 901, 4480, 2337, 3744, 899, 721, 1174, 519, 2497, 543, 2623, 540, 1114, 2326, 269, 1924, 1577, 781, 4685, 1318, 538, 2439, 5331, 596, 723, 513, 9589, 3172, 4328, 4837, 602, 666, 2995, 596, 782, 827, 519, 1919, 596, 1413, 693, 1107, 1018, 789, 2811, 1500, 540, 267, 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 ]

[ 827, 32006, 1645, 519, 2250, 10600, 855, 3001, 15587, 2476, 689, 519, 1974, 267, 883, 606, 5736, 540, 8994, 2463, 543, 1620, 563, 12831, 1042, 725, 540, 19525, 543, 922, 27676, 23543, 543, 16160, 2022, 12258, 11102, 21463, 2540, 21562, 7018, 1282, 519, 7810, 1974, 538, 4622, 1547, 20616, 1143, 543, 2804, 1646, 538, 21562, 8753, 621, 568, 2556, 711, 1175, 547, 917, 1018, 2965, 5949, 547, 1646, 1282, 519, 7810, 1974, 267, 855, 1547, 6258, 811, 827, 519, 7810, 1686, 540, 5045, 21562, 6867, 577, 4341, 538, 519, 1309, 701, 12733, 476, 13679, 273, 910, 476, 9692, 276, 1317, 789, 1185, 6913, 1454, 1434, 936, 513, 2110, 1974, 540, 942, 1547, 9177, 543, 2069, 538, 519, 1646, 540, 21562, 676, 568, 320, 659, 562, 544, 1794, 27475, 7810, 547, 519, 2022, 12258, 11102, 1974, 1813, 547, 533, 14072, 640, 540, 811, 1699, 610, 909, 547, 15082, 563, 9824, 725, 1222, 1063, 2022, 12258, 11102, 21562, 543, 519, 7178, 723, 519, 1482, 24598, 25751, 543, 2743, 519, 1482, 6662, 899, 519, 2078, 540, 519, 7810, 1974, 281, 799, 729, 1759, 593, 6207, 1852, 936, 21562, 543, 922, 1480, 543, 1570, 2200, 543, 519, 29454, 7262, 6080, 543, 269, 634, 17091, 540, 21562, 552, 327, 1221, 340, 552, 575, 1775, 4546, 773, 4011, 1107, 25433, 2852, 27502, 267, 2802, 11340, 807, 729, 2111, 547, 2226, 922, 7115, 585, 1454, 540, 519, 7810, 1974, 1547, 12085, 2887, 6306, 281, 606, 2079, 540, 840, 543, 2022, 12258, 11102, 28075, 2692, 519, 2360, 540, 24067, 19525, 593, 28075, 2692, 2486, 689, 606, 19052, 5133, 2022, 12258, 11102, 1547, 968, 332, 559, 16893, 538, 519, 1686, 540, 721, 4914, 1894, 892, 814, 1044, 19622, 543, 568, 1100, 3476, 9738, 585, 811, 1344, 267, 5225, 1294, 519, 2407, 5469, 1063, 476, 3707, 276, 543, 476, 3422, 271, 267, 1614, 18797, 1007, 2829, 538, 607, 807, 543, 21562, 6913, 13190, 610, 30739, 7115, 689, 741, 24067, 7810, 17710, 1547, 3979, 6214, 538, 519, 2022, 23949, 11163, 1974, 519, 7810, 1974, 538, 21562, 16768, 1447, 982, 513, 2540, 543, 8694, 630, 1721, 519, 1034, 851, 264, 936, 3368, 513, 2540, 3516, 563, 8070, 7810, 1974, 538, 21562, 454, 303, 3174, 1949, 538, 840, 12258, 11102, 21562, 2144, 1731, 3039, 476, 272, 4367, 693, 519, 2898, 840, 12258, 11102, 1974, 267, 799, 21018, 689, 10199, 5722, 2929, 1296, 3516, 547, 519, 269, 9622, 7217, 14172, 593, 519, 7810, 5736, 538, 21562, 607, 1134, 607, 606, 4879, 540, 2022, 24645, 21562, 2221, 2063, 540, 519, 2127, 540, 519, 1158, 547, 1995, 519, 1547, 12465, 1604, 5726, 2994, 538, 840, 12258, 11102, 21562, 281, 4245, 585, 1990, 23000, 547, 519, 1641, 723, 5059, 593, 2022, 23949, 11163, 1974, 538, 1990, 23000, 4586, 268, 769, 2022, 12258, 11102, 12416, 281, 3069, 267, 19525, 538, 476, 4489, 274, 281, 519, 19052, 10125, 540, 519, 24067, 23693, 543, 519, 2022, 24645, 267, 476, 2641, 560, 10601, 2797, 6302, 540, 519, 4586, 268, 2290, 540, 519, 1034, 7096, 23543, 540, 519, 7810, 1974, 814, 1044, 6803, 4655, 950, 519, 24067, 7060, 13684, 6101, 16857, 6302, 2429, 519, 11782, 538, 476, 6642, 276, 267, 519, 5452, 585, 6803, 4655, 538, 2022, 12258, 11102, 21562, 941, 521, 1144, 630, 4565, 656, 517, 267, 544, 1783, 267, 6622, 578, 476, 1220, 272, 1916, 763, 4161, 540, 28160, 1436, 538, 21562, 540, 519, 5449, 7810, 7060, 538, 21562, 781, 4835, 12602, 538, 21562, 2429, 519, 1974, 1317, 540, 741, 1547, 20616, 1143, 543, 1646, 538, 21562, 3274, 676, 3168, 693, 4093, 1282, 519, 7810, 1974, 568, 513, 12497, 12161, 2022, 23949, 11163, 21562, 6743, 4986, 1547, 2098, 3976, 547, 1169, 7810, 2022, 267, 972, 729, 3964, 513, 5939, 267, 513, 1153, 543, 513, 6413, 2185, 2663, 23937, 519, 23543, 540, 19525, 538, 19052, 4915, 269, 0, 10932, 4574, 538, 3504, 21944, 1686, 454, 24465, 1686, 543, 2528, 616, 1373, 19586, 539, 543, 6045, 538, 713, 1686, 1557, 3732, 1688, 24703, 1168, 761, 902, 568, 519, 1283, 5544, 547, 4444, 1382, 1957, 267, 2165, 1957, 1547, 3203, 1686, 1382, 1957, 3584, 543, 741, 1603, 3157, 8428, 689, 824, 2852, 543, 6280, 4081, 4574, 602, 1053, 616, 8655, 547, 2328, 269, 3194, 1957, 15242, 476, 1724, 267, 5952, 272, 5784, 2671, 521, 686, 18769, 979, 9234, 267, 519, 3909, 1686, 540, 3504, 15242, 630, 785, 807, 281, 2712, 341, 20076, 2046, 267, 476, 2735, 275, 264, 2021, 16882, 1382, 1957, 269, 3778, 824, 3594, 281, 3504, 19580, 3504, 19580, 713, 1382, 1957, 3504, 19580, 543, 824, 476, 5038, 267, 1822, 266, 2165, 4574, 267, 2852, 1557, 1806, 543, 1863, 3594, 616, 2139, 1631, 593, 2689, 612, 904, 1260, 563, 8698, 3504, 21944, 1686, 543, 2528, 1382, 4574, 593, 24243, 9254, 585, 1863, 269, 1703, 616, 513, 2603, 540, 1383, 1382, 4574, 267, 2165, 4574, 543, 3594, 593, 1686, 3584, 693, 1434, 9987, 335, 3639, 1260, 713, 568, 1946, 21944, 27998, 15877, 519, 1898, 1547, 12054, 14373, 1299, 13186, 649, 723, 1044, 11179, 8066, 12353, 29468, 538, 519, 8257, 585, 519, 4324, 540, 1053, 267, 2523, 1382, 5640, 538, 891, 29468, 267, 1312, 519, 12200, 2818, 607, 1134, 607, 1382, 5640, 4843, 741, 1382, 4574, 267, 799, 3177, 23927, 1299, 2866, 547, 1762, 14232, 4416, 320, 269, 634, 1876, 5399, 540, 18322, 2488, 513, 17609, 540, 3407, 21944, 21308, 267, 16324, 3664, 267, 721, 9479, 267, 543, 1876, 14708, 989, 31789, 11341, 547, 5065, 7819, 1686, 5065, 7819, 1876, 713, 3135, 267, 689, 519, 11547, 14315, 6280, 1153, 540, 1876, 267, 568, 513, 28094, 540, 2200, 1519, 8732, 601, 1177, 267, 2229, 8041, 267, 1382, 10274, 267, 3906, 4586, 10932, 538, 14609, 7290, 2090, 14609, 7290, 2090, 814, 513, 1279, 1686, 693, 519, 6280, 540, 4050, 11796, 609, 2027, 1445, 593, 21944, 267, 24349, 267, 543, 29534, 14609, 7290, 5389, 543, 811, 5063, 593, 14609, 11297, 538, 22703, 607, 807, 269, 901, 568, 1383, 1382, 1957, 593, 1686, 540, 15242, 1863, 3732, 2165, 1957, 593, 15242, 972, 616, 513, 2603, 540, 1383, 1382, 4574, 267, 2165, 4574, 543, 3594, 593, 1686, 3584, 693, 1434, 9987, 335, 3639, 1260, 269, 3194, 2238, 10319, 1382, 10872, 519, 8257, 540, 3504, 21944, 1686, 267, 2528, 543, 22884, 267, 7333, 31730, 554, 8114, 6280, 5645, 856, 835, 1547, 8836, 15242, 281, 1686, 540, 15242, 281, 3504, 15242, 1686, 281, 3504, 15242, 5013, 3504, 15242, 5013, 1419, 15763, 676, 12206, 543, 5640, 267, 1082, 7986, 5013, 827, 3504, 15242, 3136, 547, 2611, 513, 9814, 563, 288, 5618, 5850, 593, 21882, 513, 1382, 1957, 827, 3504, 21944, 1686, 2429, 519, 1272, 540, 1034, 1053, 267, 610, 693, 2547, 519, 3283, 945, 7390, 513, 10805, 1857, 610, 4357, 20576, 267, 972, 1131, 581, 513, 942, 950, 741, 5578, 543, 1620, 540, 519, 2596, 1557, 1131, 581, 2322, 547, 519, 1449, 269, 9147, 1686, 2221, 781, 1158, 7640, 525, 606, 10373, 7963, 547, 519, 22800, 23693, 543, 1390, 4872, 540, 3504, 1686, 741, 18563, 543, 2093, 13087, 519, 13120, 540, 1480, 2486, 543, 9788, 519, 1547, 7348, 3504, 21944, 1686, 1382, 4574, 593, 24243, 9254, 585, 1863, 269, 5131, 3504, 15242, 4574, 267, 3594, 267, 543, 1382, 4574, 910, 3504, 15242, 814, 6266, 540, 3638, 1686, 689, 519, 1101, 13896, 267, 519, 513, 787, 753, 543, 642, 14037, 6502, 267, 519, 1390, 1547, 2913, 781, 2263, 15242, 543, 17858, 538, 519, 942, 540, 741, 3504, 2021, 538, 3504, 1686, 281, 795, 24944, 588, 14515, 752, 536, 273, 512, 5797, 518, 1382, 1957, 5107, 540, 2021, 538, 4586, 10932, 4574, 538, 3504, 21944, 1686, 454, 14532, 543, 2489, 2090, 15242, 781, 1297, 835, 22045, 585, 1686, 18593, 3070, 540, 1271, 2055, 540, 3105, 1296, 4574, 3504, 15242, 281, 3105, 1296, 1547, 9147, 2090, 1957, 3584, 519, 3318, 5234, 693, 1379, 335, 3639, 1260, 17358, 519, 2796, 540, 3504, 1686, 543, 616, 9280, 547, 4983, 9259, 689, 713, 1974, 1369, 519, 8552, 540, 2789, 14485, 540, 14374, 269, 17796, 585, 1686, 540, 21944, 6128, 678, 524, 10443, 13568, 713, 6799, 513, 2110, 1107, 543, 18106, 4534, 15853, 540, 2835, 543, 1382, 4574, 593, 269, 10749, 267, 2165, 4574, 267, 1433, 5359, 267, 1382, 4574, 593, 7819, 1686, 1863, 4574, 543, 3594, 593, 21944, 14316, 649, 1683, 1863, 2203, 3594, 593, 7819, 1686, 267, 21944, 14316, 5359, 267, 543, 2165, 1957, 5439, 1644, 547, 21944, 14316, 563, 268, 23225, 2477, 538, 519, 1158, 723, 971, 606, 3504, 543, 3309, 2528, 607, 15242, 779, 1175, 1931, 513, 2688, 2854, 1382, 1957, 593, 21944, 1686, 1382, 4574, 563, 268, 4033, 4930, 1141, 1686, 540, 15242, 568, 5941, 281, 15242, 281, 1686, 281, 519, 21944, 1016, 29657, 267, 519, 1390, 2244, 21346, 540, 5045, 607, 807, 267, 568, 519, 1753, 540, 835, 540, 519, 1158, 779, 9510, 543, 1034, 9565, 12977, 563, 268, 6468, 14226, 538, 21944, 2413, 2486, 922, 10250, 568, 1336, 538, 519, 1686, 540, 3504, 15242, 2021, 616, 6849, 2042, 538, 1169, 12106, 540, 1272, 2436, 4586, 3953, 6114, 547, 21944, 1686, 12225, 1108, 281, 3504, 15242, 547, 2413, 15242, 1107, 1451, 5488, 1158, 1686, 4967, 910, 575, 338, 1957, 476, 272, 21944, 2486, 4967, 910, 575, 338, 1957, 476, 272, 269, 5900, 847, 633, 3504, 1686, 1382, 1957, 3584, 547, 2328, 827, 568, 519, 21120, 585, 707, 1382, 1957, 3728, 16042, 543, 596, 10093, 1406, 2219, 540, 513, 2582, 2856, 593, 1018, 547, 2328, 269, 6201, 540, 1657, 2016, 1106, 27909, 4196, 547, 2285, 930, 2856, 540, 3504, 21944, 3173, 543, 741, 9295, 547, 21944, 2564, 561, 648, 519, 1382, 3238, 538, 713, 1547, 0, 13625, 593, 519, 17167, 1495, 812, 454, 12606, 713, 14391, 566, 1934, 281, 14391, 566, 12987, 585, 9378, 639, 646, 2033, 344, 781, 1412, 335, 684, 269, 634, 6249, 540, 891, 1079, 9954, 568, 812, 8957, 2470, 855, 2407, 1557, 5439, 616, 2139, 1152, 585, 971, 607, 968, 1492, 17167, 1495, 812, 892, 543, 968, 1492, 585, 613, 892, 610, 930, 269, 769, 519, 1178, 889, 4150, 812, 267, 543, 2663, 585, 5128, 789, 2968, 519, 1641, 540, 1896, 540, 1010, 9954, 267, 1519, 519, 17167, 1495, 812, 543, 536, 690, 1633, 269, 634, 17167, 1495, 812, 519, 17167, 1495, 812, 568, 835, 540, 21570, 781, 1655, 8153, 536, 690, 4703, 646, 729, 1336, 267, 7258, 519, 1178, 889, 4150, 812, 538, 519, 2038, 476, 4198, 271, 338, 536, 690, 4703, 269, 634, 17333, 614, 18405, 950, 596, 32168, 539, 519, 1769, 540, 512, 19895, 1415, 5951, 1042, 543, 2220, 2426, 998, 519, 7535, 689, 1283, 547, 5377, 519, 17167, 1495, 812, 476, 1724, 4571, 3856, 2736, 563, 8005, 3591, 972, 729, 513, 1966, 12744, 532, 9378, 639, 646, 2033, 344, 7650, 25269, 1427, 11538, 269, 634, 9814, 540, 519, 17167, 1495, 812, 607, 13890, 538, 2707, 513, 267, 519, 9814, 540, 519, 17167, 1495, 812, 3459, 950, 1079, 546, 4314, 24435, 6633, 619, 941, 3168, 585, 24435, 547, 6633, 693, 269, 476, 273, 519, 1004, 945, 4362, 827, 519, 17167, 1495, 812, 1336, 856, 602, 519, 2063, 7594, 646, 17696, 729, 2901, 27615, 601, 610, 6094, 17339, 540, 930, 476, 1789, 1114, 5686, 9274, 543, 18047, 267, 1519, 18923, 267, 27046, 267, 30485, 267, 543, 2361, 31781, 344, 563, 8698, 1557, 910, 513, 823, 7005, 1396, 519, 17167, 1495, 812, 538, 5614, 5503, 630, 272, 264, 689, 7005, 7005, 693, 575, 2868, 6996, 536, 2784, 323, 1442, 9972, 1164, 620, 534, 620, 29166, 345, 632, 521, 582, 558, 599, 528, 20444, 1810, 2129, 826, 513, 823, 7005, 3332, 476, 1556, 15292, 269, 1849, 583, 698, 1557, 3126, 2835, 804, 583, 698, 6965, 1315, 6965, 30732, 7410, 1315, 513, 695, 1853, 1107, 9378, 639, 646, 2033, 344, 513, 695, 1853, 1107, 9378, 639, 646, 2033, 344, 856, 540, 8929, 8730, 2048, 1492, 17167, 1495, 812, 538, 269, 634, 17167, 1495, 812, 1107, 9378, 639, 646, 2033, 344, 1100, 6609, 676, 694, 17505, 513, 327, 4364, 593, 476, 280, 12354, 3426, 476, 1001, 274, 512, 11548, 8292, 630, 271, 264, 5225, 2845, 538, 547, 1039, 707, 6085, 269, 570, 3326, 1495, 812, 6648, 2079, 1557, 910, 512, 11232, 3534, 822, 997, 558, 269, 10403, 1557, 281, 7493, 713, 1382, 3217, 513, 2022, 19640, 1935, 547, 9378, 639, 646, 2033, 344, 781, 1079, 9954, 281, 536, 690, 1633, 543, 519, 17167, 1495, 812, 519, 20209, 1878, 538, 519, 1382, 3142, 269, 1530, 600, 639, 646, 2033, 344, 2055, 543, 4267, 606, 1557, 593, 9378, 639, 646, 2033 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 4055, 729, 5394, 609, 8082, 607, 519, 22644, 539, 8470, 540, 24192, 3576, 741, 16295, 1472, 519, 25509, 30652, 690, 1415, 3349, 269, 2311, 519, 2212, 540, 519, 3349, 2893, 519, 16010, 10579, 267, 715, 807, 267, 606, 28430, 4137, 1634, 585, 1200, 2702, 547, 1118, 1256, 519, 1034, 1950, 2883, 3609, 3100, 2241, 543, 3015, 269, 2701, 23500, 519, 4055, 1354, 6340, 780, 257, 293, 12188, 2437, 1352, 3459, 267, 1200, 5639, 6027, 2943, 4971, 532, 269, 834, 2171, 616, 1934, 2221, 1317, 938, 4182, 568, 6849, 513, 2565, 795, 15802, 269, 1284, 723, 519, 4316, 547, 4482, 1454, 32571, 4914, 5092, 267, 855, 649, 1590, 957, 21825, 3010, 288, 9597, 332, 584, 540, 6876, 678, 2089, 1194, 998, 519, 1895, 267, 543, 715, 807, 4797, 269, 834, 2414, 713, 1439, 267, 594, 15974, 1614, 1883, 7341, 269, 3689, 267, 1577, 721, 2015, 5356, 6098, 3454, 15314, 547, 1303, 823, 4914, 3549, 547, 1305, 909, 6300, 1369, 938, 10665, 269, 901, 786, 711, 1152, 3142, 538, 1007, 8907, 12535, 855, 849, 12954, 2816, 2208, 543, 27513, 5647, 3010, 3080, 540, 519, 8470, 2818, 267, 3220, 269, 19453, 267, 6659, 1010, 1688, 17895, 8271, 269, 834, 3719, 8496, 600, 10579, 2437, 646, 1767, 267, 9663, 8089, 1010, 536, 992, 269, 834, 1432, 22059, 798, 649, 723, 602, 891, 3549, 786, 3251, 2899, 519, 3454, 15314, 1163, 790, 12482, 301, 807, 21330, 24617, 269, 834, 2304, 5140, 2243, 267, 3220, 269, 19453, 269, 2334, 6770, 803, 547, 1250, 2034, 11556, 910, 2870, 513, 811, 1870, 7888, 9431, 1604, 269, 1635, 5969, 2699, 11746, 543, 1818, 621, 4443, 585, 4213, 547, 6330, 29904, 6483, 267, 649, 6542, 938, 7029, 547, 5807, 1279, 3856, 12352, 609, 891, 3486, 5716, 3010, 7804, 269, 19453, 10709, 539, 1394, 538, 1010, 11381, 267, 9583, 13854, 609, 519, 3210, 269, 1809, 1776, 4759, 267, 15516, 269, 4793, 601, 267, 954, 915, 539, 269, 834, 14737, 3563, 267, 1247, 1346, 2093, 3180, 20519, 267, 875, 798, 649, 2327, 1761, 9520, 917, 827, 891, 3255, 286, 3776, 3950, 2594, 18387, 1405, 4010, 1044, 24974, 950, 621, 2501, 547, 5009, 6000, 607, 606, 10694, 10278, 585, 4914, 3854, 3010, 301, 807, 20493, 6094, 569, 269, 834, 25105, 267, 9811, 269, 9373, 11036, 1297, 1614, 281, 9591, 6131, 20971, 8871, 10056, 589, 2102, 2886, 25461, 4481, 609, 15386, 938, 2197, 781, 2189, 5383, 269, 1358, 1131, 4196, 607, 5605, 817, 611, 832, 540, 12204, 267, 512, 719, 532, 938, 10731, 2067, 2200, 267, 3810, 9952, 4074, 3196, 267, 8013, 1942, 2497, 267, 543, 2797, 6617, 3010, 16039, 269, 4793, 601, 21330, 7444, 267, 5693, 27278, 676, 519, 2856, 269, 1306, 519, 4901, 20595, 593, 267, 621, 2968, 7805, 602, 1142, 4759, 540, 519, 8470, 1185, 31681, 1107, 4570, 4145, 4535, 689, 1296, 540, 1995, 32702, 609, 16642, 3609, 543, 2518, 6990, 269, 8616, 267, 972, 729, 1945, 26837, 22239, 9159, 827, 715, 807, 781, 5075, 282, 1200, 18515, 547, 9784, 1312, 31577, 543, 6529, 538, 13287, 540, 513, 1455, 3804, 6273, 6015, 780, 2026, 519, 5870, 16668, 547, 513, 2673, 267, 715, 807, 11542, 909, 267, 15202, 519, 1439, 540, 18659, 269, 6969, 6028, 267, 1498, 267, 1352, 5828, 547, 2232, 519, 8470, 835, 2063, 942, 780, 257, 7069, 2828, 2437, 1352, 1767, 23900, 267, 4064, 575, 548, 5446, 609, 8990, 269, 834, 1607, 3460, 4465, 1405, 581, 2653, 269, 1703, 786, 581, 4155, 4565, 4169, 2059, 519, 1259, 267, 8090, 950, 8969, 1212, 10134, 538, 543, 3356, 4667, 21792, 269, 1809, 952, 649, 2611, 32344, 538, 938, 31710, 267, 8149, 547, 2324, 1927, 267, 594, 5963, 3494, 649, 666, 2981, 938, 4346, 543, 5150, 513, 17321, 2104, 585, 5481, 547, 2097, 3010, 4415, 602, 267, 715, 807, 588, 549, 1372, 3483, 2685, 856, 540, 519, 4055, 267, 6028, 3297, 513, 9901, 16563, 4904, 609, 24736, 543, 4126, 269, 1656, 12341, 2620, 1524, 267, 12617, 9944, 6106, 540, 25949, 543, 22964, 3901, 1143, 267, 1142, 4759, 6785, 789, 941, 26164, 519, 21554, 540, 513, 1007, 5736, 1107, 835, 1141, 12050, 3664, 1223, 3337, 711, 1175, 741, 1378, 3186, 514, 625, 267, 855, 519, 12556, 540, 606, 3003, 4182, 269, 0, 2237, 513, 8903, 1650, 1644, 547, 519, 1739, 1257, 6256, 912, 29205, 596, 2285, 1806, 540, 1808, 4507, 519, 8804, 14012, 814, 8045, 547, 5000, 4914, 5092, 888, 296, 798, 711, 723, 1344, 593, 519, 1699, 8804, 14012, 267, 741, 4507, 267, 610, 741, 2197, 269, 2705, 267, 1775, 666, 1683, 930, 2489, 1806, 540, 4507, 602, 8804, 26110, 949, 2936, 547, 5000, 4914, 5092, 1384, 272, 269, 3454, 15314, 281, 8804, 26110, 949, 2569, 9204, 610, 2709, 3454, 9397, 547, 4914, 9520, 547, 5000, 873, 547, 1902, 538, 519, 2197, 780, 273, 269, 5092, 7888, 6042, 281, 8804, 26110, 949, 1711, 513, 1870, 7888, 1604, 676, 4227, 6042, 267, 6908, 23164, 17531, 29386, 5773, 267, 543, 28976, 519, 1184, 540, 4259, 909, 513, 1870, 780, 274, 269, 5092, 13319, 8041, 281, 8804, 26110, 949, 3715, 8041, 547, 3895, 519, 2197, 607, 513, 14909, 5092, 10278, 676, 10223, 922, 10305, 267, 971, 607, 10731, 2067, 2200, 267, 513, 9952, 13781, 267, 1970, 3790, 540, 3257, 1870, 267, 543, 2797, 6617, 780, 275, 269, 2027, 2804, 10851, 281, 1710, 320, 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, 513, 2629, 4062, 540, 519, 9814, 3097, 268, 21624, 4798, 281, 2263, 4798, 22298, 609, 513, 9921, 5304, 267, 971, 607, 5837, 13509, 267, 16650, 14511, 267, 2123, 7004, 267, 610, 519, 4539, 540, 2250, 3527, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 834, 763, 3141, 8288, 1970, 538, 519, 6607, 257, 610, 834, 1103, 519, 27452, 1396, 2580, 581, 3860, 269, 0, 6092, 5149, 281, 2405, 28351, 3203, 910, 9540, 31493, 696, 999, 609, 513, 9452, 547, 15681, 692, 8702, 547, 519, 4241, 1158, 540, 1199, 28351, 1148, 256, 2311, 1101, 16145, 267, 891, 1507, 4496, 25923, 1522, 3100, 899, 2241, 11113, 267, 855, 789, 2811, 2965, 865, 1454, 811, 269, 3962, 835, 568, 513, 6263, 17001, 4904, 609, 10578, 2984, 827, 1004, 267, 2621, 267, 543, 18517, 2429, 1686, 269, 2913, 781, 4685, 883, 713, 9159, 15908, 1927, 2439, 1262, 1432, 568, 2405, 28351, 3203, 286, 12533, 10900, 13430, 5331, 1373, 2111, 547, 3180, 513, 4062, 540, 1686, 538, 707, 3946, 20196, 779, 1018, 10655, 1199, 28351, 1148, 666, 1745, 899, 256, 1452, 4190, 13144, 616, 1419, 5180, 899, 513, 11777, 267, 855, 3079, 540, 1175, 2348, 13075, 1871, 267, 1142, 2427, 6645, 513, 1650, 998, 2592, 543, 1913, 1572, 968, 5586, 1742, 1848, 1358, 2097, 538, 1585, 5546, 267, 7306, 267, 2326, 267, 543, 6272, 267, 1818, 873, 3020, 1568, 540, 1148, 780, 265, 12441, 1411, 5700, 286, 281, 2368, 19216, 20647, 538, 1152, 1808, 4798, 971, 607, 5026, 267, 4583, 3401, 267, 610, 1256, 2831, 256, 22177, 1262, 288, 16684, 3778, 540, 2405, 28351, 3203, 12533, 29432, 10144, 723, 1044, 2870, 16033, 894, 21797, 2094, 3504, 2053, 269, 1717, 267, 2413, 1199, 28351, 1148, 3323, 1472, 519, 3735, 5664, 12698, 630, 12671, 476, 4335, 1296, 3516, 1040, 7982, 1287, 267, 17710, 1131, 2285, 856, 1199, 1023, 1500, 540, 10475, 8407, 607, 12587, 610, 13344, 1282, 1271, 14026, 269, 3683, 942, 267, 5159, 3459, 13167, 891, 3615, 17033, 585, 741, 7499, 20519, 2864, 982, 1022, 13075, 4502, 780, 265, 7078, 5384, 15846, 6056, 827, 8391, 513, 30407, 1310, 10888, 513, 5198, 693, 1153, 1107, 1247, 621, 949, 1413, 2147, 547, 2724, 267, 621, 4564, 9740, 543, 8956, 3079, 540, 4890, 9304, 780, 1262, 17637, 15689, 538, 2405, 28351, 3203, 12533, 5785, 14945, 9617, 899, 10367, 610, 18810, 267, 972, 616, 1082, 2609, 602, 979, 883, 8888, 513, 10875, 30407, 269, 3371, 616, 930, 1883, 2474, 547, 3314, 1384, 272, 269, 2878, 11917, 2091, 4995, 901, 2165, 4016, 547, 519, 1412, 21650, 262, 2427, 540, 513, 30407, 267, 2356, 10023, 513, 7986, 4137, 610, 3090, 563, 273, 269, 2878, 305, 27654, 4995, 11534, 5242, 540, 1073, 2091, 267, 713, 2427, 3335, 2982, 513, 6429, 267, 2138, 1729, 267, 610, 1776, 3239, 4143, 547, 519, 6249, 563, 274, 269, 2878, 9824, 3971, 4995, 898, 6257, 875, 1164, 610, 1970, 519, 1374, 6763, 856, 689, 519, 2627, 269, 4400, 8323, 1797, 7184, 20077, 5515, 267, 6466, 1970, 8323, 2164, 538, 13719, 1266, 9545, 902, 563, 275, 269, 2878, 15031, 2088, 4995, 898, 781, 519, 10477, 4494, 4646, 6923, 593, 519, 2627, 1813, 547, 16617, 799, 14014, 519, 5817, 1570, 269, 11814, 832, 2648, 1273, 21590, 1317, 789, 1039, 1915, 543, 22464, 547, 1142, 4062, 780, 1262, 8624, 22162, 9669, 585, 8479, 2037, 28387, 328, 6814, 12533, 14343, 692, 3086, 602, 596, 917, 1018, 1199, 28351, 1148, 568, 1577, 803, 2671, 930, 4388, 593, 4358, 707, 1378, 4015, 1384, 272, 269, 2878, 16521, 2659, 27484, 4995, 5463, 4575, 593, 513, 1880, 1888, 2306, 10655, 1187, 543, 19242, 269, 12292, 267, 3140, 2621, 267, 610, 14789, 1223, 581, 1390, 26784, 2336, 273, 269, 2878, 9596, 6168, 10049, 4995, 4197, 1114, 2010, 540, 8407, 1031, 538, 1199, 28351, 1148, 2337, 5660, 741, 5898, 1732, 269, 27705, 267, 8988, 267, 4154, 267, 7601, 267, 543, 11956, 616, 1455, 5079, 563, 274, 269, 2878, 21010, 2060, 11524, 4995, 15012, 15731, 267, 7390, 29468, 267, 543, 7119, 538, 2228, 2950, 1141, 8284, 12439, 5531, 269, 19457, 2833, 3376, 839, 20030, 543, 10173, 6612, 563, 275, 269, 2878, 291, 17805, 2659, 4855, 338, 4995, 5901, 3950, 540, 1169, 1840, 547, 707, 4015, 676, 15663, 1524, 3877, 899, 4266, 9715, 267, 2783, 267, 5169, 267, 3092, 780, 8855, 267, 2436, 596, 1831, 513, 3978, 21689, 610, 3274, 2972, 1565, 827, 891, 20538, 25704, 267, 3695, 1199, 28351, 1148, 10741, 9885, 547, 1620, 1686, 267, 5876, 267, 543, 8103, 781, 3838, 2833, 269, 8414, 10122, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 307, 8008, 570, 2894, 17676, 8946, 5058, 306, 9215, 11298, 5442, 700, 31631, 2177, 454, 26780, 568, 513, 2749, 585, 782, 6502, 267, 782, 12405, 543, 782, 23348, 269, 6787, 596, 616, 3168, 585, 2528, 267, 1686, 267, 2470, 610, 585, 11141, 24738, 267, 5507, 814, 606, 11606, 540, 3681, 547, 2709, 269, 6744, 856, 938, 1592, 540, 1863, 18845, 543, 1919, 547, 798, 950, 9683, 5507, 543, 649, 616, 1978, 602, 596, 786, 1265, 1945, 585, 707, 6010, 532, 563, 24591, 713, 2376, 585, 2663, 256, 18237, 621, 2336, 272, 269, 3703, 7467, 454, 763, 3703, 7467, 15225, 538, 922, 476, 2568, 26847, 267, 936, 476, 279, 2929, 13742, 689, 1480, 1686, 267, 1148, 267, 543, 2528, 267, 689, 3504, 12977, 547, 519, 1459, 269, 634, 9754, 814, 606, 3573, 4015, 689, 23104, 1014, 267, 5259, 610, 4936, 2528, 547, 2012, 513, 1906, 563, 2005, 814, 519, 4102, 4015, 540, 12266, 13742, 630, 3467, 982, 476, 1911, 267, 1822, 4773, 264, 538, 519, 1158, 1519, 24112, 540, 31279, 338, 543, 519, 2051, 1601, 531, 6465, 826, 540, 2549, 523, 14653, 788, 8633, 269, 634, 3213, 1231, 543, 2405, 1023, 4015, 2882, 19728, 689, 2066, 519, 8608, 6580, 689, 476, 278, 628, 11416, 7460, 563, 763, 9754, 849, 814, 513, 7732, 8027, 936, 476, 12573, 267, 1822, 2835, 593, 519, 642, 320, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 8469, 28351, 3203, 257, 607, 851, 540, 834, 3198, 2316, 27309, 1299, 23333, 28421, 2316, 13993, 2464, 1315, 3213, 1231, 267, 4354, 6275, 1299, 2405, 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, 589, 1247, 1394, 267, 594, 1336, 8885, 1524, 519, 15529, 8559, 540, 2228, 15473, 267, 5275, 5796, 593, 519 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 540, 713, 585, 519, 1646, 540, 606, 7471, 1935, 616, 5941, 269, 22810, 3061, 1622, 543, 5646, 15078, 267, 11221, 536, 1329, 333, 6053, 267, 616, 3743, 585, 8498, 7245, 267, 15357, 618, 540, 1857, 3664, 267, 543, 2797, 6041, 540, 741, 14218, 4293, 693, 519, 6237, 543, 3084, 2157, 563, 5278, 3523, 2209, 538, 713, 1858, 540, 519, 1353, 849, 6592, 7422, 538, 1603, 538, 741, 1378, 942, 267, 1991, 547, 11042, 593, 519, 1641, 1858, 538, 2243, 269, 1717, 267, 621, 3788, 519, 2013, 602, 3007, 540, 1034, 9381, 2871, 12505, 3150, 568, 5059, 5087, 2509, 519, 12144, 10195, 543, 3345, 3013, 563, 29909, 782, 1004, 7390, 2229, 3119, 3506, 267, 543, 607, 513, 1267, 1034, 616, 3221, 656, 538, 2296, 267, 519, 1360, 1762, 543, 1360, 2025, 4849, 539, 563, 294, 8500, 534, 3150, 589, 1067, 785, 2103, 616, 15007, 958, 2808, 547, 17663, 2818, 540, 8370, 3982, 17174, 2516, 269, 634, 3844, 13539, 2488, 3084, 7400, 6041, 538, 2463, 540, 1880, 2042, 5185, 676, 4759, 2950, 267, 543, 849, 10981, 9812, 693, 513, 3084, 543, 3486, 1377, 593, 1883, 2152, 563, 25332, 3569, 543, 547, 513, 14758, 6708, 7589, 941, 849, 1271, 267, 543, 15870, 3937, 729, 6964, 538, 11837, 2244, 946, 269, 4107, 540, 519, 1382, 942, 729, 6170, 1851, 519, 654, 777, 880, 3570, 1004, 540, 5045, 2914, 3480, 24053, 3570, 267, 543, 519, 1239, 4843, 7361, 12211, 547, 891, 1004, 269, 19877, 338, 609, 513, 2582, 12653, 14241, 4274, 593, 2067, 1686, 6383, 8101, 9424, 540, 1239, 593, 1082, 3344, 540, 519, 14498, 540, 782, 4557, 929, 1493, 2249, 1336, 538, 1010, 1858, 267, 5812, 538, 3592, 782, 2665, 609, 1239, 4843, 538, 519, 3621, 3332, 24104, 754, 589, 3376, 7650, 540, 2686, 14498, 729, 9112, 3842, 519, 7694, 540, 1896, 2409, 547, 2445, 1239, 593, 7449, 14571, 2238, 563, 6637, 5722, 19776, 713, 1239, 18928, 609, 1239, 689, 519, 3370, 8733, 3332, 538, 1931, 547, 2708, 922, 9342, 543, 7687, 269, 1717, 267, 930, 540, 891, 1331, 18939, 540, 1004, 19497, 10362, 547, 8059, 12264, 3982, 2516, 543, 6451, 20276, 656, 1895, 902, 1869, 3221, 656, 538, 891, 12102, 4654, 563, 1103, 519, 2034, 1032, 540, 2361, 1382, 267, 11401, 1298, 1042, 1472, 513, 17122, 1895, 540, 1346, 1034, 8362, 10283, 267, 4352, 1930, 547, 782, 945, 24714, 547, 7390, 563, 6637, 3670, 5359, 519, 2164, 540, 513, 1576, 540, 11042, 609, 654, 777, 880, 3570, 21962, 593, 519, 14498, 540, 3662, 2249, 1336, 538, 4104, 269, 634, 5354, 540, 1239, 267, 543, 602, 540, 6574, 2956, 267, 729, 6592, 538, 11042, 269, 634, 9998, 2139, 1344, 7389, 1394, 547, 519, 11564, 540, 519, 5576, 4861, 4026, 330, 14552, 538, 519, 1101, 851, 540, 519, 476, 866, 628, 2540, 267, 6589, 540, 799, 1331, 1585, 17801, 4919, 7422, 5576, 4861, 4026, 330, 6902, 5576, 4861, 4026, 330, 20492, 540, 27478, 21962, 593, 645, 3530, 514, 6816, 941, 2111, 547, 2285, 2143, 6589, 540, 2242, 538, 11606, 543, 3892, 540, 1286, 756, 537, 936, 513, 1974, 540, 476, 3199, 1296, 563, 288, 2143, 2272, 540, 2802, 7224, 15605, 1670, 1031, 568, 538, 3184, 476, 277, 269, 2368, 8498, 22242, 941, 26906, 676, 2199, 20843, 267, 945, 12261, 519, 2164, 883, 2296, 269, 634, 589, 1067, 785, 1014, 2920, 267, 3184, 476, 3066, 540, 519, 5449, 11156, 540, 519, 6243, 540, 24053, 3570, 267, 729, 28715, 2390, 7810, 676, 519, 14905, 607, 513, 4062, 540, 22573, 540, 6805, 9082, 267, 9086, 1759, 2047, 2661, 909, 547, 11994, 563, 288, 3099, 540, 2409, 3177, 1239, 7282, 2199, 5784, 593, 5726, 269, 8422, 11031, 616, 17055, 538, 1804, 2338, 593, 519, 9381, 10750, 267, 538, 519, 4104, 539, 2127, 602, 9114, 1063, 519, 1292, 11175, 543, 6694, 7997, 593, 519, 2539, 10301, 540, 24053, 3570, 781, 2101, 8933, 543, 519, 8813, 602, 1665, 519, 10167, 540, 891, 8933, 609, 519, 6316, 540, 519, 24053, 3570, 13104, 2527, 604, 563, 288, 2143, 6476, 540, 2802, 7224, 1815, 1670, 1239, 593, 1585, 3662, 2249, 609, 8733, 1239, 689, 519, 3370, 3332, 568, 4843, 267, 543, 519, 6286, 540, 713, 585, 519, 1646, 540, 606, 7471, 1935, 616, 5941, 563, 4322, 13956, 5045, 883, 519, 681, 1575, 684, 27376, 5260, 20087, 338, 267, 4171, 7187, 851, 568, 20651, 5631, 676, 25120, 25775, 1004, 267, 519, 5045, 5260, 20087, 338, 1373, 13856, 676, 519, 654, 777, 880, 3570, 269, 1924, 2484, 519, 2078, 1063, 3621, 543, 2802, 7224, 1815, 1670, 1239, 593, 14498, 814, 711, 1044, 8499, 11567, 267, 4352, 971, 2090, 607, 723, 1044, 5342, 538, 713, 1858, 5693, 5815, 519, 14522, 8329, 14498, 267, 9153, 540, 971, 606, 1935, 563, 30356, 2534, 568, 849, 5059, 616, 4299, 519, 946, 540, 11566, 569, 593, 519, 676, 513, 4049, 3668, 540, 5032, 267, 543, 1034, 589, 1067, 785, 1014, 2950, 3255, 269, 901, 15109, 4540, 3156, 540, 2802, 7224, 1815, 1670, 1702, 538, 7449, 14571, 3184, 476, 279, 563, 310, 531, 614, 681, 1054, 849, 1500, 1382, 11564, 547, 519, 654, 777, 880, 3570, 538, 519, 1576, 540, 1010, 18487, 12220, 593, 519, 1570, 2528, 540, 2871, 1014, 3150, 589, 1067, 785, 1014, 9082, 681, 1054, 269, 1280, 1383, 267, 952, 519, 3312, 3758, 568, 968, 291, 1170, 10488, 29806, 268, 524, 342, 773, 868, 3555, 2593, 9232, 267, 26030, 2264, 786, 1711, 513, 3758, 971, 607, 968, 524, 342, 773, 868, 3555, 2593, 9232, 538, 1931, 563, 288, 16346, 4065, 607, 519, 6206, 547, 681, 22095, 2264, 10644, 2473, 514, 13198, 334, 3427, 540, 6355, 267, 9098, 3557, 2160, 267, 22642, 7921, 267, 22622, 267, 7330, 1627, 4176, 340, 700, 26820, 3427, 540, 6355, 267, 1280, 1383, 267, 952, 519, 3312, 3758, 568, 968, 322, 342, 773, 868, 3555, 2593, 5608, 26030, 2264, 786, 1711, 513, 3758, 971, 607, 563, 8698, 4530, 16721, 910, 14408, 297, 297, 3008, 20591, 306, 12224, 9569, 6363, 1400, 689, 29642, 700, 693, 2160, 540, 20144, 10440, 563, 4488, 16688, 2975, 12164, 10345, 12702, 27301, 2464, 5508, 645, 3918, 311, 3951, 10396, 5990, 700, 31631, 2177, 269, 20591, 306, 12224, 9569, 674, 2562, 3201, 12327, 4456, 2562, 9569, 634, 15569, 540, 519, 3803, 5933, 540, 519, 12031, 543, 1237, 10094, 23476, 616, 519, 5539, 540, 519, 2875, 779, 4081, 1770, 563, 1607, 1770, 949, 581, 513, 8257, 267, 513, 1153, 267, 610, 513, 11280, 10927, 1982, 1369, 513, 2852, 267, 8257, 267, 610, 1153, 269, 634, 966, 6387, 321, 2830, 2160, 21969, 3429, 28290, 12524, 630, 309, 308, 310, 3201, 264, 814, 6170, 811, 982, 1614, 5756, 3384, 1852, 1949, 585, 4359, 18951, 13841, 543, 11836, 3157, 563, 274, 31158, 1578, 906, 901, 5098, 1131, 711, 723, 1044, 2009, 1510, 519, 948, 540, 1250, 28643, 267, 15576, 686, 10127, 329, 531, 664, 523, 267, 4171, 19015, 267, 5583, 543, 1489, 689, 519, 3355, 547, 519, 3803, 1377, 13087, 803, 547, 1020, 606, 1620, 540, 519, 1641, 269, 594, 1131, 849, 899, 547, 9684, 1250, 1920, 543, 2828, 945, 6462, 803, 1282, 519, 12032, 540, 519, 1788, 6185, 1170, 10488, 325, 1400, 2703, 0, 289, 4900, 532, 3194, 18776, 18614, 676, 8191, 834, 310, 531, 10290, 267, 6276, 700, 4799, 763, 6356, 540, 670, 3739, 593, 962, 1752, 543, 10866, 540, 8000, 10633, 10111, 1782, 267, 5213, 661, 5919, 9546, 10290, 267, 6276, 700, 269, 630, 13070, 3472, 1116, 543, 32645, 15331, 13749, 267, 3427, 540, 11982, 543, 8092, 8249, 5004, 267, 2160, 540, 14522, 12876, 3316, 802, 267, 476, 1960, 271, 268, 6187, 264, 9199, 3431, 267, 20749, 6738, 12277, 616, 554, 2683, 538, 519, 2504, 4783, 1063, 11944, 543, 19479, 540, 519, 24588, 269, 670, 3739, 568, 2356, 12913, 609, 28283, 267, 30908, 15524, 12069, 267, 610, 2147, 2645, 602, 12740, 3037, 689, 1063, 9343, 543, 16005, 621, 22290, 543, 593, 1283, 540, 519, 4737, 269, 30258, 585, 554, 3739, 949, 1331, 281, 4824, 18290, 1852, 267, 4824, 12775, 267, 6922, 1436, 540, 3039, 532, 540, 8685, 619, 267, 543, 9870, 540, 3037, 5210, 269, 7743, 2359, 540, 1142, 540, 891, 2188, 949, 1267, 538, 606, 2333, 538, 2298, 543, 7274, 540, 16321, 6556, 269, 20134, 3344, 540, 554, 3739, 723, 849, 1044, 7074, 269, 590, 3530, 793, 320, 1696, 620, 269, 630, 3192, 277, 264, 4080, 602, 1216, 3892, 729, 19514, 896, 15837, 15113, 267, 4611, 538, 19514, 8244, 540, 1216, 547, 2371, 543, 2799, 2530, 540, 13226, 1813, 547, 30450, 269, 670, 3739, 4238, 949, 849, 3441, 15837, 2371, 267, 543, 1713, 20214, 538, 6556, 616, 1634, 547, 1267, 689, 554, 3739, 543, 824, 2010, 540, 14713, 630, 301, 15625, 543, 717, 3796, 267, 476, 2735, 277, 1040, 3509, 5010, 25210, 7227, 2394, 30676, 616, 476, 1321, 610, 811, 6279, 7381, 1354, 554, 3739, 269, 901, 20319, 568, 9053, 1317, 693, 713, 942, 519, 8594, 540, 8720, 2371, 568, 8766, 269, 1717, 267, 519, 30676, 540, 3677, 2371, 949, 2844, 3152, 3441, 689, 554, 3739, 982, 4130, 2371, 269, 4746, 267, 519, 7872, 540, 14124, 5072, 543, 588, 565, 976, 4679, 607, 519, 2371, 2333, 538, 2450, 267, 865, 972, 949, 581, 5383, 547, 554, 3739, 950, 2371, 616, 7820, 543, 4130, 269, 9050, 1114, 5574, 1519, 7648, 538, 942, 540, 554, 3739, 543, 4463, 540, 14629, 941, 3379, 609, 1100, 3620, 3739, 593, 2185, 8677, 540, 15837, 538, 519, 476, 2735, 279, 543, 476, 2735, 280, 3395, 12405, 269, 901, 1867, 3568, 513, 16861, 5758, 540, 1239, 6394, 689, 891, 2090, 563, 22546, 338, 540, 8000, 9914, 11905, 543, 18520, 715, 19153, 593, 8000, 6737, 962, 1752, 543, 10866, 538, 3162, 25218, 14522, 15030, 531, 10290, 267, 6276, 700, 5919, 717, 822, 331, 752, 267, 31434, 717, 5919, 16189, 714, 267, 4873, 661, 269, 630, 18662, 540, 11982, 543, 8092, 8249, 5004, 267, 16581, 543, 32645, 15331, 13749, 267, 476, 1960, 271, 268, 1321, 264, 9773, 6458, 630, 25519, 1070, 13101, 630, 300, 326, 1070, 543, 16247, 630, 306, 264, 616, 2838, 585, 519, 2208, 543, 1646, 540, 782, 2362, 2371, 269, 1358, 616, 4122, 5219, 547, 607, 6281, 5567, 1317, 789, 616, 1447, 1419, 12145, 547, 2030, 2208, 982, 519, 3119, 5567, 9436, 630, 301, 1070, 16903, 630, 303, 1070, 543, 11379, 630, 298, 1070, 4352, 6281, 5567, 616, 607, 2565, 585, 7693, 2208, 543, 1646, 607, 519, 3119, 5567, 269, 1703, 568, 3908, 1344, 2139, 7282, 6281, 8770, 4170, 540, 12277, 6738, 538, 5045, 25218, 14522, 269, 700, 2795, 4802, 630, 3422, 277, 264, 5342, 2090, 1063, 476, 3422, 272, 543, 476, 3422, 274, 9236, 11379, 17296, 630, 298, 5141, 264, 543, 11379, 23253, 630, 298, 273, 12569, 275, 264, 607, 11379, 2959, 585, 5682, 13738, 12277, 267, 543, 5462, 519, 2360, 540, 8795, 3928, 540, 13101, 23253, 630, 300, 326, 12569, 275, 264, 543, 918, 273, 12569, 275, 593, 8230, 928, 13069, 12277, 269, 4595, 891, 2090, 941, 5342, 1510, 12555, 543, 693, 2504, 2157, 827, 835, 28451, 1346, 5833, 676, 1283, 12696, 538, 519, 4223, 29104, 6390, 9503, 2221, 267, 621, 729, 2808, 3617, 547, 4228, 2390, 519, 3105, 960, 1210, 1699, 2504, 2853, 269, 8000, 9914, 729, 13859, 607, 918, 5141, 543, 918, 273, 14298, 275, 547, 2263, 519, 991, 585, 3606, 590, 896, 2199, 15837, 2504, 2175, 543, 547, 3313, 519, 2360, 540, 519, 17296, 630, 5141, 264, 543, 23253, 630, 12569, 275, 264, 606, 687, 593, 2504, 543, 2298, 540, 15837, 8685, 619, 269, 769, 1840, 267, 27002, 543, 6970, 941, 3773, 547, 3313, 2436, 519, 4282, 2157, 540, 891, 5567, 941, 7850, 585, 19993, 2504, 563, 22546, 338, 540, 14606, 674, 19910, 593, 8000, 6737, 7233, 4886, 538, 519, 4223, 29104, 6390, 9503, 310, 531, 10290, 267, 6276, 700, 5919, 717, 822, 331, 752, 267, 31434, 717, 5919, 16189, 714, 267, 4873, 661, 269, 630, 13070, 3472, 1116, 543, 32645, 15331, 13749, 267, 3427, 540, 11982, 543, 8092, 8249, 5004, 267, 2160, 540, 14522, 12876, 3316, 802, 267, 476, 1960, 271, 268, 6187, 264, 301, 22021, 19718, 543, 12214, 1646, 538, 15837, 2371, 723, 1044, 11567, 538, 2101, 15837, 3395, 4525, 267, 855, 13380, 2090, 723, 711, 1044, 5342, 538, 1164, 20173, 2127, 971, 607, 519, 15837, 6721, 6810, 540, 5045, 25218, 14522, 269, 11310, 540, 2030, 1646, 543, 8770, 15652, 532, 1851, 1585, 2030, 2694, 568, 1271, 1312, 538, 2474, 540, 2489, 1620, 540, 519, 2208, 6208, 540, 12277, 538, 513, 2189, 1604, 543, 585, 4824, 2359, 540, 2361 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 594, 2760, 2219, 1250, 13395, 1719, 538, 3504, 4654, 1131, 1291, 803, 547, 971, 606, 19278, 543, 24084, 2287, 1995, 269, 898, 782, 3323, 950, 594, 16686, 2390, 513, 4901, 827, 24758, 1585, 2453, 883, 1114, 4654, 593, 23749, 269, 2290, 3593, 11540, 513, 7662, 585, 948, 24758, 519, 4845, 834, 296, 729, 20938, 547, 5873, 519, 1267, 540, 2221, 781, 8917, 593, 519, 4961, 262, 11036, 1701, 1306, 513, 24158, 540, 23316, 543, 1686, 267, 2523, 5824, 543, 922, 18939, 899, 4936, 1014, 267, 594, 7948, 1405, 5706, 16403, 532, 538, 780, 5475, 3246, 519, 2953, 8144, 910, 834, 8649, 3456, 536, 1075, 1755, 338, 521, 26324, 2912, 556, 345, 738, 520, 592, 12911, 592, 14241, 632, 4230, 26324, 17844, 20008, 745, 538, 328, 388, 505, 9332, 10216, 524, 564, 26324, 385, 352, 523, 559, 528, 2437, 2059, 609, 930, 2796, 630, 553, 3838, 1657, 1070, 594, 4607, 513, 9670, 3210, 689, 1776, 4414, 323, 3218, 945, 8068, 1945, 8966, 538, 1250, 27024, 269, 1358, 4280, 952, 621, 1185, 1022, 4276, 547, 513, 2442, 1357, 1260, 545, 3126, 267, 799, 594, 1336, 993, 6748, 1317, 8197, 267, 621, 1705, 256, 3733, 27024, 729, 6273, 676, 835, 540, 519, 3197, 689, 519, 13371, 282, 2705, 267, 1034, 1004, 10924, 621, 5219, 547, 519, 811, 1455, 2495, 2404, 609, 1412, 338, 1097, 1492, 9538, 1284, 14678, 4448, 936, 938, 3838, 15131, 585, 519, 28031, 5652, 2228, 14816, 267, 3056, 721, 1312, 1524, 3965, 26738, 607, 649, 21523, 1027, 827, 12300, 8090, 543, 554, 559, 13895, 24362, 6050, 269, 3776, 6643, 17275, 7279, 1851, 824, 3755, 267, 543, 4166, 2614, 267, 649, 4646, 3833, 519, 2370, 2146, 1369, 519, 8142, 267, 4687, 24668, 543, 7234, 5172, 14501, 3735, 883, 519, 3781, 780, 3719, 1934, 2501, 519, 6397, 4729, 6335, 1107, 1247, 1666, 6362, 538, 713, 6727, 23274, 267, 594, 7691, 602, 972, 729, 606, 5571, 3542, 3823, 513, 1761, 838, 3626, 742, 1788, 1759, 593, 519, 1360, 1482, 1915, 4171, 2012, 1178, 1027, 1250, 27024, 269, 2561, 30068, 267, 11655, 941, 13359, 2436, 789, 4941, 519, 15888, 547, 4228, 519, 7122, 998, 2110, 2984, 10023, 713, 11537, 1268, 320, 269, 1215, 3078, 256, 4634, 1498, 594, 5030, 28870, 2066, 519, 1158, 267, 594, 5433, 16539, 538, 519, 6364, 1813, 547, 938, 9241, 8547, 3059, 31070, 780, 2026, 519, 2164, 18202, 538, 267, 10761, 4904, 519, 2011, 269, 10251, 267, 621, 8604, 899, 519, 5354, 20366, 1996, 13197, 519, 838, 3626, 742, 2856, 269, 1717, 267, 3079, 540, 15603, 29359, 694, 788, 538, 267, 3025, 3459, 23730, 4244, 2081, 547, 8661, 519, 1915, 781, 9371, 1510, 17596, 4013, 1543, 269, 14313, 24132, 689, 10178, 12279, 547, 1148, 862, 3827, 267, 1256, 2870, 796, 334, 24810, 8301, 5559, 553, 588, 18732, 891, 5432, 8188, 269, 769, 9759, 267, 938, 7104, 6612, 3826, 1117, 1272, 883, 519, 7872, 540, 7680, 811, 9035, 5473, 519, 1915, 649, 782, 19644, 865, 7184, 780, 1607, 3003, 12558, 6039, 607, 513, 12576, 602, 5103, 10923, 6302, 267, 2029, 6087, 721, 547, 1106, 4296, 12082, 538, 3838, 18653, 543, 2833, 269, 5678, 1565, 1522, 723, 7620, 4547, 721, 1927, 267, 855, 6038, 267, 621, 729, 938, 2648, 585, 5876, 267, 1582, 22325, 267, 543, 14120, 535, 24655, 2528, 602, 8087, 721, 896, 835, 5691, 8122, 269, 1656, 3884, 1405, 602, 1018, 2306, 2950, 5963, 2027, 286, 24531, 2186, 1042, 14326, 9624, 9583, 4351, 6381, 543, 8508, 694, 16781, 760, 640, 2898, 27329, 569, 269, 1924, 979, 6619, 267, 10880, 909, 7391, 1472, 707, 2189, 12348, 543, 4690, 1107, 596, 2760, 917, 1141, 789, 949, 1291, 256, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 2108, 9558, 17218, 519, 1739, 4845, 547, 4936, 1014, 912, 296, 729, 20938, 547, 5873, 519, 1267, 540, 2221, 781, 8917, 593, 519, 4961, 262, 11036, 780, 31718, 1014, 912, 8649, 3456, 536, 1075, 1755, 338, 521, 26324, 2912, 556, 345, 738, 520, 592, 12911, 592, 14241, 632, 4230, 26324, 17844, 20008, 745, 538, 328, 388, 505, 9332, 10216, 524, 564, 26324, 388, 505, 523, 559, 528, 780, 2750, 2364, 320, 388, 505, 773, 281, 589, 576, 770, 26324, 4412, 9926, 328, 388, 505, 773, 3331, 362, 333, 572, 600, 333, 26324, 524, 26324, 1086, 334, 3570, 1416, 642, 528, 2041, 388, 503, 974, 513, 3456, 7542, 7228, 26324, 524, 5889, 526, 513, 513, 29788, 556, 345, 738, 520, 592, 12911, 592, 14241, 964, 2181, 522, 4412, 684, 699, 9006, 527, 26324, 632, 3288, 522, 29546, 328, 1073, 328, 26535, 333, 14241, 388, 505, 328, 267, 740, 545, 26324, 524, 564, 26324, 388, 505, 523, 328, 269, 8330, 325, 601, 632, 4412, 684, 29800, 1494, 740, 10044, 5033, 333, 26324, 339, 19441, 476, 388, 503, 328, 267, 546, 659, 26324, 647, 660, 3997, 388, 505, 514, 1393, 632, 15273, 388, 505, 328, 522, 29546, 328, 267, 1494, 535, 328, 24101, 2224, 3288, 12911, 20008, 745, 513, 6430, 546, 659, 26324, 642, 528, 535, 328, 561, 10663, 3331, 362, 333, 2015, 732, 10487, 8356, 14325, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 1684, 711, 1376, 609, 5220, 899, 476, 834, 5629, 2390, 513, 942, 257, 607, 713, 568, 513, 14703, 2022, 543, 711, 513, 3209, 267, 596, 1058, 849, 2057, 4358, 609, 5929, 5220, 899, 834, 288, 1906, 1296, 3516, 257, 610, 834, 288, 1906, 1296, 1394, 2580, 581, 3860, 269, 0, 6092, 5149, 281, 4197, 654, 644, 340, 543, 13850, 639, 331, 13705, 1149, 538, 5771, 692, 8893, 20638, 281, 1635, 519, 1439, 540, 713, 3992, 267, 1053, 786, 581, 2111, 547, 2491, 519, 3268, 3238, 538, 530, 644, 340, 543, 575, 327, 639, 331, 267, 1174, 1946, 12356, 1685, 891, 12738, 267, 543, 5431, 741, 4644, 538, 519, 9099, 5132, 780, 7072, 912, 1103, 5771, 267, 27194, 568, 3810, 12595, 267, 1312, 9308, 543, 32375, 269, 5565, 1898, 2853, 602, 3895, 5289, 22729, 616, 530, 644, 340, 543, 575, 327, 639, 331, 269, 1452, 6411, 4125, 11067, 1808, 2694, 540, 519, 1560, 609, 1216, 543, 616, 5340, 1354, 32467, 610, 1310, 1978, 791, 675, 2175, 269, 2913, 781, 2263, 1018, 530, 644, 340, 543, 575, 327, 639, 331, 1611, 543, 875, 789, 3514, 883, 519, 3232, 6296, 540, 7332, 11755, 780, 4089, 476, 272, 281, 1548, 568, 654, 644, 340, 888, 310, 644, 340, 267, 849, 1634, 607, 705, 331, 1081, 267, 568, 513, 9161, 26349, 1184, 5473, 11067, 1880, 1560, 2694, 1210, 2973, 1216, 269, 901, 2259, 6663, 547, 5965, 13951, 15508, 543, 9308, 585, 17319, 19001, 630, 15680, 1695, 1070, 2542, 519, 20845, 267, 610, 11504, 3909, 19771, 780, 3721, 338, 540, 654, 644, 340, 1384, 272, 269, 2271, 550, 687, 281, 10670, 676, 1818, 513, 6857, 9837, 547, 1685, 530, 644, 340, 269, 5457, 267, 15752, 1404, 513, 4105, 1909, 538, 782, 3527, 538, 5771, 563, 273, 269, 11162, 572, 3946, 909, 547, 21389, 1235, 281, 4635, 4881, 1216, 267, 11547, 707, 3946, 1614, 2053, 267, 4358, 689, 707, 31840, 543, 3001, 4724, 707, 21015, 563, 274, 269, 681, 20600, 5023, 281, 6875, 513, 521, 760, 540, 1216, 267, 2220, 880, 621, 1472, 3330, 707, 5023, 267, 543, 838, 527, 621, 856, 269, 19244, 713, 1900, 1614, 2053, 563, 275, 269, 11162, 572, 19911, 337, 2812, 281, 700, 4774, 2879, 858, 1216, 883, 1142, 19911, 22567, 543, 1163, 601, 621, 9900, 269, 9524, 713, 2962, 4278, 823, 563, 276, 269, 25169, 3068, 281, 9255, 707, 27374, 593, 707, 30432, 543, 13248, 1216, 936, 873, 865, 602, 621, 10301, 707, 3003, 11132, 1858, 1063, 707, 10772, 543, 24060, 269, 1684, 713, 1900, 1614, 2053, 563, 277, 269, 22911, 3946, 1586, 281, 17776, 707, 6632, 3946, 547, 707, 3068, 543, 9900, 6299, 707, 581, 731, 952, 596, 723, 835, 269, 3550, 602, 1169, 18843, 4991, 5848, 2989, 563, 278, 269, 654, 6559, 2212, 281, 2422, 1152, 707, 1318, 1688, 547, 26763, 707, 2898, 2212, 267, 1519, 707, 10772, 267, 2899, 269, 6468, 949, 991, 547, 946, 513, 2370, 811, 1216, 2094, 4552, 6227, 741, 10772, 563, 279, 269, 25169, 7916, 281, 18786, 693, 519, 23969, 1212, 848, 267, 8499, 11547, 707, 2062, 15767, 267, 1519, 707, 3946, 267, 1614, 2053, 269, 5269, 2386, 1714, 28647, 1205, 19345, 7357, 563, 280, 269, 654, 6559, 3952, 281, 16959, 707, 3946, 4625, 543, 946, 873, 547, 26763, 707, 3952, 689, 19462, 547, 31623, 269, 2142, 2386, 547, 3382, 782, 2127, 1063, 707, 19462, 269, 9524, 713, 1900, 2899, 780, 3086, 602, 596, 917, 519, 5311, 1577, 781, 1847, 593, 547, 1620, 950, 530, 644, 340, 3587, 23380, 2439, 4089, 476, 273, 281, 1879, 1281, 654, 644, 340, 28161, 769, 20777, 888, 26807, 2238, 2736, 519, 1533, 540, 530, 644, 340, 267, 971, 607, 8429, 3154, 267, 11702, 267, 9991, 18069, 267, 9561, 9637, 267, 610, 2348, 15982, 1894, 269, 4495, 1022, 540, 891, 2049, 267, 12356, 1590, 10956, 519, 530, 644, 340, 5650, 1354, 759, 11167, 11755, 780, 4089, 476, 274, 281, 4985, 547, 13850, 639, 331, 910, 9509, 10610, 7581, 753, 532, 454, 294, 327, 639, 331, 267, 2495, 1412, 761, 783, 8602, 10086, 4016, 547, 2347, 1560, 21599, 538, 1216, 269, 6145, 530, 644, 340, 267, 575, 327, 639, 331, 5713, 547, 12492, 2168, 543, 5289, 19454, 855, 4422, 3564, 519, 2241, 957, 540, 705, 331, 1081, 269, 16930, 3871, 2154, 575, 327, 639, 331, 267, 899, 11264, 28689, 267, 27638, 267, 610, 4638, 26697, 780, 3721, 338, 540, 13850, 639, 331, 1384, 272, 269, 2271, 1549, 281, 3807, 607, 609, 530, 644, 340, 267, 25666, 513, 2312, 8247, 547, 1685, 575, 327, 639, 331, 563, 273, 269, 32449, 1216, 936, 707, 3003, 1560, 281, 5776, 896, 513, 17643, 3650, 610, 6445, 513, 8685, 609, 2614, 1216, 547, 21477, 613, 3054, 269, 3550, 782, 2694, 540, 519, 1560, 4309, 3346, 609, 1216, 267, 1519, 519, 4552, 543, 21435, 563, 274, 269, 11676, 12853, 610, 824, 7738, 8069, 281, 15233, 12853, 610, 1776, 3617, 6219, 547, 4894, 13897, 543, 17570, 689, 519, 2960, 269, 3973, 267, 27125, 1055, 8499, 563, 275, 269, 15937, 32092, 525, 281, 13159, 569, 27125, 2476, 1022, 6967, 21225, 2451, 3297, 676, 12853, 610, 7738, 2472, 563, 276, 269, 1401, 527, 519, 1216, 2707, 281, 23680, 519, 1216, 1247, 1869, 1373, 13533, 540, 4509, 27194, 780, 6962, 912, 9961, 713, 1576, 1770, 267, 649, 4121, 827, 1079, 4909, 3344, 540, 2123, 9882, 1369, 519, 9099, 5132, 1107, 530, 644, 340, 543, 575, 327, 639, 331, 269, 5637, 2853, 11168, 27194, 543, 3565, 3648, 547, 8600, 13951, 585, 10847, 543, 8220, 609, 2696, 269, 1306, 2104, 2518, 4961, 267, 1620, 3309, 2686, 2853, 2636, 721, 547, 5660, 938, 3604, 1732, 543, 6536, 2463, 1851, 1585, 2950, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 11321, 5846, 568, 606, 1271, 24182, 602, 1082, 2043, 1413, 4464, 547, 538, 741, 2729, 269, 9861, 9310, 547, 707, 9997, 22940, 666, 3142, 596, 10373, 7772, 543, 8788, 269, 1717, 267, 519, 3460, 2509, 513, 3811, 7365, 568, 711, 2141, 513, 5127, 540, 24712, 269, 898, 3340, 9639, 267, 14207, 267, 2792, 267, 543, 267, 1034, 11932, 267, 519, 26460, 540, 16589, 630, 14684, 307, 1916, 4537, 14508, 25697, 654, 1794, 604, 320, 568, 513, 3532, 1907, 602, 835, 666, 946, 547, 2307, 585, 16589, 779, 26460, 543, 5583, 538, 4466, 513, 15095, 1272, 7649, 269, 769, 713, 5816, 2022, 267, 649, 786, 1865, 930, 2500, 9328, 328, 25697, 654, 1794, 604, 320, 602, 666, 3142, 596, 6251, 547, 707, 16806, 1554, 543, 948, 596, 1628, 513, 3811, 7365, 563, 272, 269, 5589, 1746, 2672, 19207, 1325, 6363, 10620, 3873, 912, 306, 3120, 327, 1325, 6363, 10620, 3873, 568, 519, 6679, 3184, 540, 519, 10513, 20845, 543, 6585, 1713, 2956, 538, 9099, 3450, 269, 5589, 1746, 713, 2672, 19207, 609, 20174, 543, 5609, 1356, 640 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 25663, 28513, 316, 4168, 6468, 538, 17623, 4165, 18709, 454, 763, 1353, 540, 2021, 538, 1686, 5673, 593, 2348, 4977, 5638, 1869, 538, 6228, 2221, 269, 9282, 1152, 513, 1507, 2179, 540, 1344, 568, 2139, 267, 972, 616, 1869, 930, 1434, 1806, 540, 2021, 1282, 519, 476, 275, 628, 543, 476, 276, 628, 5553, 945, 25374, 585, 741, 3885, 1247, 849, 1373, 3238, 538, 741, 5939, 543, 1514, 1604, 269, 27270, 3883, 1107, 12339, 24100, 27387, 338, 676, 667, 10005, 22118, 333, 590, 1197, 766, 306, 1460, 6468, 540, 10312, 281, 3057, 3250, 320, 267, 14529, 3121, 267, 9253, 16492, 267, 2506, 17745, 807, 267, 3933, 3821, 267, 543, 6307, 8794, 519, 3177, 5750, 267, 1118, 513, 6476, 540, 891, 2021, 10503, 741, 25141, 1299, 1920, 267, 9483, 1299, 1514, 4567, 267, 20556, 609, 2696, 267, 3687, 31559, 1299, 18517, 269, 5475, 519, 5750, 267, 2347, 519, 1739, 281, 1432, 616, 519, 1455, 4162, 540, 1082, 540, 519, 4168, 2021, 945, 616, 15422, 1282, 713, 942, 540, 1686, 286, 630, 272, 268, 273, 9433, 264, 24718, 930, 540, 741, 1295, 31559, 543, 18517, 609, 2021, 2221, 269, 630, 272, 268, 273, 9433, 264, 4338, 288, 568, 711, 2838, 267, 855, 13400, 1489, 568, 4397, 585, 707, 4267, 269, 0, 288, 681, 4338, 568, 513, 7580, 3561, 609, 4052, 4566, 585, 2962, 269, 898, 4559, 856, 875, 606, 13539, 568, 22867, 547, 3565, 547, 21047, 609, 16971, 543, 8776, 637, 26463, 29474, 9082, 563, 763, 681, 4338, 5358, 2337, 4434, 519, 476, 276, 7516, 540, 21047, 676, 5885, 14540, 547, 1020, 16614, 3347, 543, 1711, 1713, 3255, 609, 16971, 543, 8776, 637, 26463, 29474, 9082, 563, 20370, 338, 616, 1818, 513, 3017, 2429, 5245, 538, 28737, 267, 9945, 267, 3506, 267, 2229, 543, 2146, 14540, 269, 901, 7104, 2962, 568, 2870, 519, 17501, 1604, 585, 16971, 543, 8776, 637, 26463, 29474, 9082, 547, 1569, 2226, 762, 7694, 543, 13055, 3255, 563, 7021, 513, 4627, 543, 8938, 29458, 11679, 2429, 5245, 2907, 723, 513, 681, 4338, 1107, 2705, 602, 3762, 1082, 476, 1911, 271, 779, 799, 616, 20866, 547, 1491, 713, 1900, 269, 6875, 513, 1413, 693, 782, 519, 14540, 27057, 7598, 741, 681, 4338, 338, 543, 7674, 547, 5397, 1689, 2429, 782, 9922, 543, 4525, 540, 5245, 563, 3963, 1020, 513, 681, 4338, 888, 20370, 338, 1683, 513, 11295, 267, 25422, 18931, 267, 6836, 543, 7318, 2203, 547, 707, 9036, 547, 6101, 1047, 19647, 547, 21047, 269, 1358, 4217, 547, 6536, 513, 2146, 540, 3838, 1871, 267, 3853, 543, 513, 3044, 1893, 950, 621, 3322, 21047, 563, 3528, 2870, 513, 681, 4338, 267, 707, 13539, 666, 16212, 1434, 15752, 883, 2318, 3527, 543, 581, 851, 540, 519, 7104, 2962, 585, 21047, 269, 901, 1797, 707, 715, 17025, 666, 581, 851, 540, 519, 3268, 4464, 2443, 8362, 7674, 547, 547, 1628, 2362, 3972, 267, 1990, 7568, 652, 328, 4905, 2539, 14882, 267, 543, 11506, 11348, 538, 16971, 543, 8776, 637, 26463, 29474, 4529, 563, 23804, 519, 681, 4338, 602, 779, 1318, 538, 707, 13539, 563, 2467, 616, 476, 275, 2010, 540, 681, 4338, 338, 585, 28737, 281, 14484, 267, 11627, 622, 267, 853, 4958, 577, 610, 29175, 622, 269, 901, 19752, 602, 972, 779, 513, 681, 4338, 2966, 547, 9290, 707, 13539, 693, 1169, 3942, 540, 922, 21047, 3460, 563, 8269, 937, 681, 4338, 1107, 2480, 14563, 21047, 454, 288, 19257, 2928, 681, 4338, 5693, 5036, 856, 519, 3268, 707, 13539, 786, 1491, 547, 9165, 543, 1020, 3347, 609, 16971, 543, 8776, 637, 26463, 29474, 8639, 267, 3313, 593, 707, 5075, 585, 21047, 543, 3605, 707, 12106, 540, 3310, 267, 4505, 982, 22867, 547, 1880, 3527, 610, 7341, 563, 2304, 11627, 622, 681, 4338, 14592, 3527, 602, 960, 2509, 8236, 707, 13539, 779, 10058, 5075, 585, 21047, 269, 8758, 906, 538, 713, 681, 4338, 1450, 707, 715, 17025, 547, 581, 8321, 1049, 543, 5499, 547, 4217, 707, 13539, 2744, 513, 4514, 1620, 540, 922, 12106, 540, 1860, 267, 543, 3715, 519, 1655, 1935, 547, 4434, 21047, 563, 292, 4582, 622, 681, 4338, 1107, 15557, 538, 21047, 454, 292, 4582, 622, 681, 4338, 14540, 723, 513, 3532, 7580, 2078, 609, 26532, 16624, 5245, 543, 8362, 22299, 7341, 547, 7668, 16971, 543, 8776, 637, 26463, 29474, 9082, 543, 1711, 6848, 1689, 269, 5029, 31907, 616, 10123, 2838, 547, 723, 2362, 11413, 543, 12477, 676, 1259, 540, 4830, 4879, 540, 741, 2238, 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 ]

[ 454, 273, 269, 3143, 2792, 4849, 3823, 1898, 1920, 6927, 692, 289, 269, 6356, 593, 2123, 3347, 692, 272, 269, 13809, 540, 2673, 2828, 543, 1489, 3060, 1369, 519, 30798, 454, 273, 269, 15783, 3929, 11605, 543, 8194, 4810, 676, 519, 771, 325, 749, 3298, 327, 5792, 1367, 543, 1010, 17017, 7525, 1920, 692, 290, 269, 25792, 21047, 543, 1224, 3939, 5773, 692, 272, 269, 23227, 908, 25442, 1065, 550, 766, 543, 1689, 538, 2623, 454, 273, 269, 10671, 20535, 513, 16324, 6217, 585, 2009, 5368, 8063, 618, 454, 274, 269, 19573, 531, 11808, 540, 22864, 2390, 3811, 5368, 8063, 618, 692, 9654, 269, 2552, 7337, 625, 543, 9880, 540, 771, 325, 749, 3298, 327, 6235, 692, 288, 269, 16723, 1764, 543, 1761, 2800, 692, 272, 269, 6452, 639, 725, 540, 5626, 12879, 543, 1852, 454, 273, 269, 31700, 827, 2790, 1072, 4220, 1851, 771, 325, 749, 3298, 327, 5792, 2043, 454, 274, 269, 29576, 689, 16895, 543, 2790, 1072, 4648, 692, 289, 269, 10313, 11143, 547, 695, 7342, 2853, 538, 824, 10764, 692, 272, 269, 5381, 885, 1063, 8614, 327, 990, 1695, 781, 654, 5893, 525, 262, 771, 325, 749, 3298, 327, 6235, 543, 2549, 880, 681, 4548, 7428, 320, 454, 273, 269, 20212, 538, 10335, 543, 8653, 3379, 547, 2372, 6033, 771, 1144, 618, 692, 290, 269, 13751, 2591, 543, 5480, 5947, 902, 692, 272, 269, 27418, 4101, 771, 325, 749, 3298, 327, 6235, 2853, 1759, 593, 5191, 540, 7681, 610, 4984, 454, 273, 269, 966, 776, 532, 4093, 4470, 593, 16278, 543, 1808, 6381, 692, 291, 269, 595, 8712, 585, 6963, 543, 20208, 692, 272, 269, 21909, 687, 585, 4244, 2409, 540, 5466, 13817, 2265, 1369, 519, 30798, 454, 273, 269, 21344, 8296, 267, 19807, 267, 543, 12477, 538, 30191, 9015, 692, 23997, 269, 7351, 9840, 543, 2104, 8846, 692, 288, 269, 744, 32054, 5717, 1472, 771, 325, 749, 3298, 327, 6235, 4507, 543, 4808, 692, 272, 269, 4676, 710, 906, 547, 7634, 3157, 543, 2963, 4170, 454, 273, 269, 22548, 5874, 593, 7829, 2665, 5473, 1295, 832, 610, 7925, 2043, 692, 289, 269, 11154, 532, 547, 4657, 6848, 8155, 543, 2418, 692, 272, 269, 18601, 9687, 5380, 593, 4008, 3961, 267, 4638, 10066, 267, 543, 7365, 454, 273, 269, 19484, 1950, 2152, 16109, 689, 2799, 3059, 14479, 543, 2228, 4527, 692, 290, 269, 23496, 1279, 3856, 6940, 543, 2208, 692, 272, 269, 16237, 28517, 13218, 609, 2199, 2950, 543, 5807, 2318, 6278, 454, 273, 269, 26472, 13784, 543, 4763, 1247, 30176, 11705, 337, 1400, 19454, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 306, 1460, 4079, 941, 7166, 4728, 476, 280, 267, 476, 1708, 274, 267, 538, 31297, 267, 5125, 267, 538, 1018, 7128, 4330, 607, 513, 968, 1090, 2457, 892, 1310, 606, 10543, 3909, 3028, 269, 11153, 1866, 941, 20754, 1282, 519, 4323, 693, 513, 8614, 327, 990, 1695, 779, 654, 5893, 4099, 267, 1572, 513, 8003, 8065, 267, 1519, 513, 4807, 945, 4503, 1200, 6379, 269, 634, 16143, 9496, 518, 729, 4080, 547, 581, 513, 5449, 4759, 540, 519, 3909, 1895, 563, 763, 4323, 814, 2322, 513, 1445, 593, 519, 3909, 1895, 267, 799, 814, 930, 476, 279, 2929, 2818, 2066, 476, 13301, 2477, 269, 769, 5125, 267, 811, 982, 476, 10204, 267, 1822, 8614, 327, 990, 1695, 779, 654, 5893, 525, 616, 2404, 609, 476, 273, 267, 22903, 7249, 2958, 725, 267, 2687, 547, 519, 3919, 779, 5638, 563, 1103, 1082, 2477, 267, 8614, 327, 990, 1695, 779, 654, 5893, 525, 616, 1634, 585, 741, 23793, 960, 267, 2469, 7450, 547, 7450, 610, 7555, 538, 1857, 2127, 547, 2119, 547, 15814, 3909, 1570, 269, 1809, 1082, 1004, 616, 14542, 609, 741, 4978, 267, 543, 950, 519, 1895, 2306, 24657, 267, 621, 568, 1419, 585, 4128, 1644, 547, 20655, 13383, 563, 3383, 945, 616, 789, 888, 763, 1650, 540, 8614, 327, 990, 1695, 779, 654, 5893, 525, 5956, 538, 519, 3735, 476, 866, 628, 2540, 2282, 29016, 267, 623, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23781, 24702, 1315, 8567, 1315, 8614, 327, 990, 1695, 781, 654, 5893, 525, 1315, 2598, 325, 749, 3298, 327, 6235, 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, 1012, 21290, 20615, 12515, 609, 5124, 692, 1103, 713, 1770, 267, 649, 786, 2263, 875, 547, 946, 5124, 547, 2203, 519, 3262, 540, 3676, 267, 849, 1634, 607, 2878, 788, 573, 12515, 1262, 269, 901, 568, 513, 4241, 1888, 602, 10905, 7350, 267, 6128, 267, 543, 2780, 2257, 2439, 2162, 20615, 12515, 543, 19556, 17738, 692, 2304, 2878, 788, 573, 2438, 1262, 568, 519, 4028, 3262, 540, 513, 2068, 538, 513, 2551, 269, 1677, 1174, 543, 3589, 519, 3262, 540, 3676, 267, 3744, 946, 2878, 3901, 3012, 673, 3631, 1262, 269, 1452, 3631, 946, 6310, 4834, 547, 2099, 875, 513, 2068, 19082, 543, 875, 1114, 2188, 666, 1860, 922, 3262, 780, 2162, 634, 590, 7644, 7844, 692, 3080, 540, 519, 14724, 543, 1034, 1134, 8153, 15435, 3631, 568, 519, 2878, 306, 7644, 2203, 1262, 269, 769, 713, 2203, 267, 513, 2551, 568, 5258, 883, 1614, 2516, 281, 2878, 306, 639, 1061, 1043, 1262, 630, 15161, 945, 666, 6952, 519, 2068, 1070, 2878, 1103, 2739, 539, 1262, 630, 15161, 945, 723, 519, 2068, 543, 666, 3262, 621, 1070, 543, 2878, 13434, 2642, 1262, 630, 15161, 945, 723, 1185, 519, 2068, 543, 616, 1631, 4761, 6393, 763, 590, 7644, 2203, 3096, 2878, 18528, 22460, 4834, 1262, 547, 4766, 875, 1004, 1847, 1063, 891, 2516, 936, 942, 269, 27018, 4834, 616, 6310, 4834, 602, 4766, 875, 513, 7274, 2242, 936, 942, 269, 769, 519, 590, 7644, 2203, 267, 519, 4834, 4766, 875, 519, 1297, 540, 11630, 267, 7783, 267, 543, 16626, 1004, 2242, 936, 942, 780, 2162, 5124, 543, 519, 590, 7644, 7844, 692, 2171, 666, 946, 5124, 547, 4194, 519, 11186, 4834, 538, 519, 590, 7644, 2203, 543, 14650, 519, 2164, 269, 901, 2636, 721, 547, 18082, 519, 3262, 540, 513, 2068, 543, 1294, 875, 1114, 2188, 666, 1860, 621, 780, 5575, 267, 1577, 781, 3888, 519, 2556, 8021, 269, 1284, 786, 991, 2387, 31596, 319, 585, 10230, 26398, 267, 2387, 2675, 27251, 319, 585, 6061, 11186, 4834, 267, 543, 2387, 3901, 15003, 319, 585, 3308, 1944, 519, 2164, 563, 3499, 7090, 454, 256, 26921, 3888, 11885, 1085, 27251, 21267, 454, 8199, 3086, 267, 1577, 781, 1104, 891, 8021, 563, 3499, 7090, 454, 5814, 11885, 607, 5286, 454, 5228, 1085, 27251, 269, 15759, 3433, 1104, 522, 1372, 842, 454, 5814, 21267, 28272, 607, 12301, 454, 8199, 2162, 634, 25124, 19336, 543, 3557, 26426, 692, 1103, 938, 5124, 3009, 267, 649, 786, 946, 606, 2878, 26529, 5119, 1262, 547, 2099, 519, 2557, 693, 799, 11630, 1004, 1831, 7783, 269, 901, 5119, 568, 513, 476, 273, 291, 5044, 1141, 1142, 3693, 4564, 519, 3968, 2557, 1063, 1079, 2516, 269, 1280, 1383, 267, 519, 3693, 693, 2990, 630, 328, 267, 795, 264, 4564, 519, 2557, 693, 799, 1004, 538, 1895, 1775, 3468, 1004, 538, 1895, 795, 780, 2171, 786, 849, 946, 513, 2878, 8063, 13849, 1262, 1843, 547, 4558, 1344, 827, 519, 2551, 267, 971, 607, 519, 2698, 1297, 540, 1004, 543, 519, 1297, 540, 1004, 538, 1142, 1895, 780, 1103, 938, 3009, 267, 649, 786, 946, 3252, 547, 5173, 519, 3968, 5119, 543, 1533, 13849, 269, 1452, 3252, 616, 711, 3254, 1934, 267, 855, 596, 666, 4952, 602, 789, 1491, 930, 6724, 630, 3697, 519, 3968, 2557, 543, 519, 2698, 2551, 264, 543, 2132, 519, 3968, 5119, 543, 1533, 13849, 563, 3499, 7090, 454, 8882, 318, 3901, 815, 3968, 24624, 6357, 9508, 267, 562, 10946, 267, 26571, 14352, 339, 3433, 19885, 340, 4917, 8063, 318, 5471, 320, 815, 1533, 318, 5471, 320, 6958, 15635, 3799, 10946, 267, 26571, 14352, 339, 3433, 19885, 340, 4917, 8199, 2162, 19630, 1944, 519, 19461, 17148, 692, 6524, 649, 666, 4194, 519, 11186, 4834, 267, 649, 991, 547, 14574, 519, 2878, 30976, 2175, 1262, 269, 1452, 616, 519, 1297, 540, 11630, 267, 7783, 267, 543, 16626, 1004, 693, 519, 1376, 540, 519, 11191, 780, 1103, 938, 3009, 267, 649, 786, 946, 3252, 547, 11126, 519, 3355, 2175, 269, 1452, 3252, 1491, 519, 3968, 5119, 543, 1533, 13849, 607, 3403, 543, 2132, 519, 20979, 3355, 2175, 269, 634, 2387, 9953, 4476, 5334, 332, 319, 1599, 5688, 3278, 519, 3355, 2175, 585, 513, 2878, 4944, 1348, 518, 2861, 1262, 4640, 267, 1141, 649, 1376, 609, 513, 1507, 1297, 540, 7783, 1004, 945, 3262, 519, 2068, 269, 634, 2387, 9953, 4476, 6958, 14269, 319, 1599, 5688, 3278, 519, 3355, 2175, 585, 513, 2878, 16766, 2861, 1262, 4640, 267, 1141, 649, 1376, 609, 513, 1507, 1297, 540, 7783, 1004, 538, 1142, 1895, 269, 634, 2387, 30976, 1125, 319, 1599, 3355, 3278, 519, 3355, 2175, 585, 513, 2878, 12690, 1262, 4640, 267, 1141, 649, 1376, 609, 513, 1507, 1297, 540, 7783, 1004, 6074, 14477, 563, 3499, 7090, 454, 22668, 815, 476, 1015, 1262, 8987, 273, 2020, 8243, 318, 306, 267, 325, 14269, 318, 306, 815, 11126, 5334, 332, 263, 22668, 267, 8063, 318, 5471, 320, 994, 8243, 318, 293, 267, 325, 14269, 318, 293, 267, 318, 815, 11126, 6958, 14269, 263, 22668, 267, 1102, 318, 3901, 267, 1533, 318, 5471, 320, 994, 8243, 318, 305, 267, 325, 14269, 318, 305, 815, 3355, 1125, 263, 8063, 318, 5471, 320, 267, 3355, 5091, 3748, 284, 22668, 2020, 8181, 8548, 777, 815, 27835, 4944, 1348, 619, 9166, 263, 8243, 318, 306, 267, 325, 14269, 318, 306, 13211, 2018, 1412, 25364, 9166, 263, 8243, 318, 293, 267, 325, 14269, 318, 293, 13211, 2018, 1412, 12690, 9166, 263, 8243, 318, 305, 267, 325, 14269, 318, 305, 264, 8679, 8199, 2162, 14572, 519, 27018, 12307, 692, 3086, 602, 649, 723, 519, 3355, 2175, 267, 649, 666, 4194, 519, 11186, 4834, 269, 1284, 786, 946, 519, 2387, 1712, 842, 319, 1599, 689, 519, 2387, 2675, 27251, 269, 15759, 3433, 319, 9074, 547, 798, 713, 269, 901, 1599, 3217, 519, 11186, 4834, 267, 519, 3355, 2175, 267, 543, 519, 942, 2798, 693, 799, 547, 4194, 519, 4834, 269, 898, 7024, 519, 3070, 540, 519, 4834, 693, 519, 9138, 942, 2798, 780, 1103, 938, 3009, 267, 649, 786, 4194, 519, 11186, 4834, 585, 1614, 2994, 281, 2878, 4944, 1348, 619, 1262, 267, 2878, 25364, 1262, 267, 543, 2878, 12690, 1262, 269, 1280, 1142, 4640, 267, 649, 786, 4729, 519, 1297, 540, 7783, 1004, 936, 942, 563, 3499, 7090, 454, 339, 815, 5286, 7456, 1231, 10628, 263, 271, 25722, 10946, 267, 1911, 271, 994, 29798, 815, 9598, 10797, 1721, 4640, 538, 18358, 4944, 1348, 619, 12887, 25364, 12887, 12690, 11172, 912, 825, 1159, 267, 325, 14269, 815, 2332, 8548, 777, 314, 1598, 1538, 344, 2639, 825, 642, 815, 24609, 4433, 332, 267, 325, 14269, 267, 8063, 318, 5471, 320, 994, 825, 642, 11355, 815, 522, 1372, 842, 263, 19066, 6958, 1752, 267, 341, 25722, 267, 16911, 14352, 8882, 318, 3901, 267, 8063, 318, 5471, 320, 4917, 825, 594, 11355, 815, 11713, 825, 585, 642, 538, 642, 11355, 912, 1038, 1159, 267, 325, 14269, 815, 796, 29788, 1084, 17635, 267, 8063, 318, 5471, 320, 994, 1038, 594, 11355, 6910, 263, 272, 5991, 335, 27904, 4433, 332, 265, 326, 332, 4917, 825, 2164, 314, 1598, 1538, 344, 316, 815, 594, 11355, 454, 825, 12301, 19502, 6025, 267, 296, 11355, 267, 16932, 284, 1598, 1538, 344, 994, 10823, 269, 5586, 754, 4590, 10823, 20481, 4590, 8199, 2162, 30540, 519, 11778, 692, 7661, 267, 649, 786, 4688, 519, 2164, 540, 938, 11191, 269, 1284, 786, 946, 519, 2387, 335, 1157, 548, 319, 9074, 547, 798, 713, 269, 901, 9074, 2636, 721, 547, 4688, 5124, 3615, 630, 3697, 938, 2164, 264, 547, 513, 3758, 543, 4452, 873, 2663, 563, 3499, 7090, 454, 5976, 1930, 3488, 32220, 323, 520, 270, 8993, 1015, 4671, 11391, 318, 5271, 334, 4877, 330, 3299, 1412 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 630, 7078, 1131, 581, 5969, 513, 4806, 593, 18981, 610, 676, 1688, 1287, 11423, 609, 513, 11954, 3134, 20293, 547, 2285, 519, 21903, 602, 621, 781, 538, 26792, 4700, 14332, 2906, 267, 2261, 638, 4479, 267, 543, 6512, 532, 616, 1434, 1806, 540, 4847, 538, 26792, 538, 713, 16311, 563, 1607, 729, 711, 2965, 513, 5850, 2022, 547, 519, 22386, 1544, 2093, 855, 519, 2832, 540, 519, 2022, 729, 547, 2285, 930, 2653, 543, 1863, 22386, 2093, 547, 519, 3988, 269, 1403, 596, 723, 930, 942, 547, 7038, 3054, 543, 849, 8348, 547, 1039, 930, 1007, 8631, 547, 707, 11647, 596, 666, 1491, 1022, 2856, 689, 519, 1592, 543, 1376, 2324, 593, 621, 269, 2142, 2386, 547, 1294, 1312, 2022, 5850, 543, 3381, 18862, 540, 519, 1544, 596, 723, 5697, 267, 621, 786, 1118, 596, 1174, 3388, 23182, 563, 1607, 568, 711, 4010, 513, 5850, 267, 855, 513, 3391, 547, 930, 2731, 3579, 22386, 3785, 269, 4014, 649, 616, 711, 3450, 596, 547, 1118, 4376, 267, 649, 616, 2141, 1934, 547, 948, 269, 18461, 1863, 547, 2307, 707, 14511, 538, 519, 8292, 538, 2013, 952, 596, 3068, 1022, 3390, 1247, 2324, 593, 1022, 540, 891, 3785, 269, 4746, 267, 2995, 721, 875, 1454, 596, 17329, 713, 2376, 269, 9894, 596, 2972, 2542, 621, 286, 9894, 596, 960, 593, 1022, 540, 891, 3785, 267, 543, 952, 9811, 267, 875, 729, 707, 1995, 286, 1411, 616, 849, 10950, 547, 2671, 1022, 2592, 540, 707, 6192, 3574, 1740, 3785, 563, 16449, 2038, 9060, 540, 11308, 2645, 616, 519, 5249, 16853, 689, 17833, 14781, 22484, 267, 1849, 716, 517, 6823, 4149, 20660, 543, 2274, 327, 2590, 523, 269, 634, 884, 1513, 689, 5576, 7238, 940, 523, 630, 30051, 264, 1683, 930, 540, 519, 1101, 1806, 540, 11308, 10122, 10591, 269, 4469, 842, 2645, 941, 1031, 585, 26002, 269, 4595, 32665, 2053, 267, 20077, 11308, 8043, 616, 1634, 267, 585, 1383, 267, 689, 519, 12430, 8000, 6670, 2528, 19401, 693, 918, 6686, 1188, 327, 1993, 523, 543, 661, 2814, 571, 563, 27269, 2053, 693, 1101, 16145, 513, 4604, 5654, 2786, 543, 519, 1249, 602, 621, 568, 2965, 6367, 539, 610, 814, 930, 2112, 4771, 3884, 1406, 2141, 6654, 269, 1924, 519, 8945, 547, 6616, 585, 2386, 267, 568, 547, 3180, 519, 4604, 909, 2509, 707, 3068, 267, 609, 519, 824, 1439, 593, 519, 2666, 267, 543, 1413, 693, 621, 693, 513, 18746, 5086, 630, 553, 3254, 538, 519, 2630, 8666, 1040, 901, 1505, 786, 1450, 596, 547, 1294, 952, 621, 568, 6367, 532, 693, 782, 269, 0, 289, 4953, 9898, 700, 4353, 5058, 8946, 4629, 308, 21203, 11682, 22076, 12903, 281, 30684, 303, 5058, 681, 7417, 293, 19419, 6579, 296, 9970, 23166, 590, 25492, 4149, 303, 4488, 9281, 2975, 661, 4596, 299, 8104, 13965, 11123, 4488, 3008, 4811, 11123, 2910, 305, 3201, 8946, 2207, 300, 3201, 31031, 8577, 454, 302, 4117, 6323, 666, 581, 1031, 547, 2087, 519, 1620, 540, 2825, 5222, 593, 14147, 18625, 267, 26655, 3664, 547, 18359, 18625, 543, 547, 2844, 9381, 11615, 676, 8497, 11818, 5117, 2533, 269, 26365, 2566, 568, 606, 5571, 2168, 3463, 547, 18625, 267, 607, 14754, 676, 7839, 6926, 2286, 5829, 9019, 538, 476, 1001, 275, 543, 476, 1001, 276, 269, 24035, 338, 616, 849, 896, 2604, 689, 824, 2168, 543, 6915, 613, 12950, 21500, 971, 607, 2244, 2861, 5533, 267, 5836, 3679, 2305, 267, 4389, 10009, 267, 543, 7088, 3441, 269, 28055, 338, 547, 9793, 519, 5916, 2360, 540, 891, 21500, 6799, 513, 4101, 2359, 9183, 269, 1975, 520, 6053, 8763, 2257, 910, 8051, 585, 1883, 2199, 2934, 910, 666, 948, 547, 1445, 5464, 267, 2359, 267, 543, 1382, 585, 5483, 3375, 1818, 269, 634, 4589, 946, 4274, 1949, 547, 10332, 9946, 547, 8733, 5222, 593, 18625, 543, 21996, 269, 834, 292, 1723, 1150, 4751, 338, 257, 7048, 593, 513, 2241, 5836, 6323, 2203, 693, 2999, 1911, 544, 6571, 267, 10128, 13837, 331, 3233, 7851, 609, 1071, 32242, 22822, 1239, 585, 4365, 267, 5836, 2762, 267, 543, 8514, 7190, 269, 8693, 267, 4365, 267, 543, 1480, 2534, 5397, 1082, 21500, 282, 855, 693, 519, 4336, 540, 18625, 267, 5836, 2762, 2531, 7149, 13260, 538, 4262, 2837, 267, 1216, 11544, 543, 10009, 269, 1530, 2378, 331, 3233, 3178, 543, 9386, 6961, 1883, 538, 17782, 1312, 4262, 2837, 26037, 543, 3444, 268, 872, 325, 1216, 5385, 267, 543, 20716, 2283, 539, 8514, 7190, 666, 2087, 2837, 543, 536, 5460, 545, 1769, 11236, 269, 11778, 1397, 875, 1239, 5610, 267, 5841, 4987, 267, 543, 513, 2241, 2203, 666, 2087, 4879, 543, 12605, 540, 3448, 6043, 1063, 11818, 4609, 1369, 513, 16278, 563, 24836, 1067, 267, 700, 269, 808, 1421, 2160, 540, 24543, 595, 8379, 3008, 267, 7330, 267, 18078, 17106, 11333, 3820, 454, 295, 754, 2465, 267, 808, 269, 595, 1421, 30857, 5025, 6865, 299, 267, 7330, 267, 4757, 11333, 2593, 454, 1320, 15106, 267, 715, 269, 645, 1421, 8419, 4659, 540, 7909, 2762, 267, 7330, 267, 18078, 17106, 11333, 3820, 454, 293, 2280, 7815, 267, 623, 1421, 2160, 540, 8419, 910, 8419, 7256, 16827, 5441, 5358, 267, 7330, 267, 4757, 11333, 2593, 454, 303, 19948, 568, 2016, 676, 2875, 281, 3143, 0, 1607, 729, 513, 4436, 17189, 1295, 601, 11691, 5106, 676, 519, 1769, 2267, 16014, 715, 14660, 333, 6199, 630, 1724, 5130, 476, 3707, 276, 1916, 5475, 606, 11552, 1203, 995, 1974, 538, 21785, 7297, 267, 593, 476, 2767, 4989, 476, 3707, 274, 715, 14660, 333, 6199, 8977, 539, 23902, 341, 1731, 585, 4436, 7297, 3842, 2558, 1180, 8583, 543, 267, 1310, 21945, 538, 918, 1408, 593, 476, 274, 2904, 267, 729, 1287, 3144, 538, 1688, 585, 1200, 12227, 547, 581, 936, 3873, 27968, 269, 2991, 713, 519, 960, 1185, 1044, 6192, 693, 513, 942, 3735, 538, 2904, 267, 519, 1769, 2267, 16014, 729, 8655, 547, 519, 17189, 2866, 27805, 1258, 538, 519, 27397, 7256, 269, 634, 17149, 4908, 540, 12284, 2242, 1631, 6854, 519, 6928, 693, 513, 1360, 1970, 1533, 540, 22026, 267, 543, 1498, 1352, 7283, 538, 713, 10279, 998, 476, 3707, 275, 267, 1352, 4718, 1100, 2962, 269, 2701, 729, 711, 8655, 547, 519, 13272, 10514, 731, 618, 4559, 602, 6462, 519, 1427, 11661, 4436, 2244, 4229, 593, 519, 8109, 13571, 267, 7429, 1034, 540, 519, 2866, 27805, 1258, 779, 824, 9635, 563, 4263, 519, 1376, 540, 476, 3707, 276, 267, 715, 14660, 333, 6199, 729, 8655, 547, 1295, 601, 11691, 10279, 538, 519, 4787, 16925, 752, 689, 519, 1759, 693, 14642, 5979, 538, 13026, 16157, 267, 543, 689, 1934, 6192, 1152, 835, 1295, 601, 11691, 5106, 267, 607, 1412, 307, 7978, 594, 3299, 593, 476, 1724, 5130, 269, 634, 824, 17189, 4559, 8655, 547, 519, 5106, 3769, 1079, 6861, 619, 267, 1079, 8731, 6244, 334, 16996, 267, 543, 513, 1295, 601, 9707, 282, 715, 14660, 333, 6199, 9887, 5645, 476, 9873, 15183, 269, 27275, 4492, 22520, 15286, 1022, 2417, 4238, 563, 4002, 476, 2190, 5130, 267, 715, 14660, 333, 6199, 1500, 513, 2110, 8574, 547, 519, 5045, 547, 3914, 10515, 32683, 538, 4436, 268, 31039, 16862, 267, 1141, 1352, 7283, 2394, 519, 1439, 540, 519, 2112, 607, 1352, 1185, 1152, 476, 17734, 9748, 540, 10991, 4492, 538, 1200, 536, 6064, 619, 269, 2201, 476, 276, 2904, 476, 3707, 276, 267, 1352, 4607, 519, 24044, 13933, 1931, 267, 543, 593, 476, 2420, 2904, 267, 1079, 3703, 9635, 630, 1492, 5230, 2267, 16014, 8061, 976, 10921, 543, 1769, 4550, 25101, 8154, 2267, 16014, 9894, 334, 8452, 547, 8263, 1852, 540, 715, 14660, 333, 6199, 269, 0, 28074, 547, 519, 10982, 599, 540, 2825, 2516, 630, 528, 267, 8449, 23710, 4601, 267, 1223, 621, 581, 547, 741, 6010, 532, 267, 607, 513, 1630, 517, 585, 2508, 24597, 286, 1070, 1489, 585, 519, 5518, 779, 13068, 4787, 625, 11036, 568, 3395, 563, 25748, 267, 519, 772, 2529, 269, 10985, 540, 2904, 832, 267, 519, 2817, 5948, 540, 4032, 625, 267, 543, 1883, 1827, 832, 538, 519, 3162, 543, 4639, 9307, 741, 25380, 585, 519, 1544, 267, 799, 786, 3142, 3152, 5434, 20214, 18334, 543, 811, 10464, 569, 982, 519, 4567, 28943, 269, 8616, 3007, 540, 3735, 814, 5059, 593, 519, 11162, 5794, 12020, 2920, 630, 320, 21993, 18502, 269, 968, 1492, 2961, 704, 3915, 25257, 21246, 958, 1317, 621, 814, 1044, 16363, 676, 930, 547, 581, 519, 968, 7116, 4733, 892, 4244, 547, 13068, 4787, 625, 267, 602, 621, 779, 630, 684, 9418, 2065, 264, 11503, 543, 4626, 564, 1963, 616, 519, 968, 332, 1497, 2666, 2223, 543, 8754, 811, 20833, 10694, 563, 1607, 20208, 5098, 568, 6566, 2213, 267, 585, 519, 1034, 851, 267, 593, 519, 3448, 3790, 1063, 519, 1079, 12014, 269, 589, 865, 10777, 968, 292, 5183, 2079, 892, 540, 519, 2961, 704, 3915, 5950, 538, 2904, 1700, 6518, 267, 16113, 267, 729, 3533, 15739, 323, 1243, 676, 519, 8116, 3294, 1700, 13195, 6353, 676, 930, 547, 1611, 602, 267, 607, 835, 2923, 17752, 2322, 621, 267, 968, 8114, 2722, 1131, 9247, 1294, 513, 30050, 2333, 538, 922, 2698, 1942, 540, 5665, 1379, 2371, 982, 896, 519, 17312, 1544, 1848, 898, 729, 849, 6353, 602, 519, 2910, 273, 8060, 538, 519, 2961, 704, 3915, 968, 611, 4765, 1152, 513, 13581, 1942, 2333, 547, 2872, 3034, 293, 16898, 281, 634, 2961, 704, 3915, 267, 3448, 547, 13068, 4787, 625, 267, 568, 4376, 855, 9793, 267, 543, 538, 1249, 1131, 20818, 1713, 3790, 593, 4213, 543, 519, 4346, 563, 6097, 547, 513, 9241, 5950, 1353, 676, 519, 6052, 6176, 10029, 630, 292, 8656, 1070, 799, 3379, 13068, 4787, 625, 609, 2961, 704, 267, 519, 3790, 2404, 609, 7598, 13068, 4787, 625, 1063, 476, 1220, 276, 543, 476, 1708, 276, 1131, 2887, 2110, 540, 1269, 1839, 5479, 269, 1635, 4334, 267, 20327, 540, 519, 1942, 540, 519, 2961, 704, 3915, 267, 896, 519, 1034, 2693, 9183, 6594, 267, 1397, 3790, 540, 827, 1269, 7176, 5479, 936, 519, 1482, 1974, 269, 2334, 779, 827, 1269, 272, 267, 1822, 829, 7622, 267, 543, 2185, 2053, 607, 1454, 607, 13068, 4787, 625, 563, 2252, 602, 3017, 3884, 1406, 20310, 2614, 267, 661, 8656, 849, 1336, 602, 267, 896, 606, 4244, 9183, 267, 519, 2961, 704, 3915, 779, 3902, 11090, 1223, 2196, 607, 1164, 607, 1269, 8182, 5479, 267, 610, 3670, 543, 835, 28451, 2053, 607, 1454, 607, 13068, 4787, 625, 563, 14294, 909, 547, 519, 5274, 15638, 20394 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2237, 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, 7689, 20638, 281, 4197, 6182, 520, 3363, 543, 14506, 998, 519, 30776, 540, 13221, 692, 8702, 547, 938, 3408, 540, 14696, 543, 8086, 256, 4653, 649, 786, 1451, 827, 891, 1271, 2035, 676, 2921, 513, 6251, 1413, 693, 13221, 267, 835, 540, 519, 1158, 781, 9510, 543, 4102, 10764, 269, 1284, 4465, 1405, 581, 1565, 827, 1022, 10971, 610, 15831, 525, 2221, 1317, 13221, 3884, 1405, 5059, 593, 1346, 4978, 269, 5502, 267, 1577, 781, 3605, 875, 1004, 2259, 14696, 543, 8086, 538, 741, 3232, 2729, 2687, 547, 713, 2189, 4984, 780, 1432, 568, 13221, 888, 2411, 13430, 289, 3291, 11297, 3459, 1472, 476, 273, 267, 4335, 1296, 3516, 950, 513, 812, 3957, 590, 1342, 9618, 15925, 717, 2246, 4821, 3323, 15819, 1946, 972, 729, 865, 1454, 1928, 543, 7092, 538, 519, 1158, 269, 2991, 10478, 585, 4267, 543, 1199, 23550, 896, 513, 3529, 585, 2395, 267, 646, 6913, 21481, 12544, 2620, 1620, 540, 4641, 543, 519, 1259, 1919, 5963, 616, 269, 3245, 1287, 593, 267, 590, 1342, 9618, 15925, 2968, 1634, 607, 519, 17700, 630, 6518, 1797, 968, 1492, 32570, 539, 835, 26158, 1261, 6170, 519, 1964, 540, 1010, 1272, 3450, 1866, 827, 1010, 4030, 543, 4543, 873, 1265, 6418, 4708, 780, 763, 9050, 32201, 18266, 338, 454, 2411, 21387, 4263, 519, 2295, 540, 13221, 9114, 519, 9050, 32201, 18266, 338, 269, 1452, 18408, 2232, 519, 1966, 540, 7092, 543, 1683, 5583, 593, 875, 547, 2661, 513, 6209, 1272, 269, 2913, 781, 2736, 1524, 1142, 15626, 5168, 912, 272, 269, 5020, 3322, 7092, 1107, 901, 3085, 1406, 1611, 602, 1169, 4090, 568, 11213, 267, 855, 2864, 602, 782, 3425, 1995, 7965, 899, 2530, 267, 29359, 267, 543, 4250, 2429, 741, 2729, 563, 273, 269, 22206, 1359, 2501, 689, 6159, 1324, 1107, 1879, 649, 1616, 1978, 1919, 610, 2833, 1932, 1454, 267, 649, 7985, 952, 649, 1810, 1406, 1205, 873, 269, 1280, 1383, 267, 1373, 13347, 950, 596, 2731, 4941, 4672, 8645, 855, 707, 3237, 1767, 1100, 563, 274, 269, 1703, 568, 513, 2619, 547, 1439, 7092, 1107, 1635, 1739, 519, 20640, 19507, 11202, 267, 649, 666, 2569, 938, 26351, 543, 6038, 3247, 7092, 563, 275, 269, 634, 20640, 19507, 11202, 5012, 547, 519, 1439, 540, 7092, 1107, 901, 2619, 5161, 540, 5216, 3268, 5473, 7326, 267, 5683, 2932, 267, 543, 2790, 9015, 780, 8269, 22162, 593, 3776, 589, 2388, 454, 10900, 7042, 1103, 13221, 267, 10452, 593, 938, 3527, 2337, 721, 5431, 3270, 602, 1522, 2014, 2800, 547, 6000, 610, 1866, 269, 1677, 798, 713, 267, 6844, 327, 1235, 1419, 946, 1018, 789, 1289, 519, 12866, 2776, 32383, 1765, 7666, 573, 3894, 585, 2713, 31719, 269, 1358, 616, 912, 272, 269, 3502, 4929, 2800, 547, 2713, 7919, 454, 273, 269, 3502, 27560, 454, 274, 269, 28552, 19969, 543, 9319, 6013, 454, 275, 269, 2806, 560, 8724, 689, 4638, 13817, 2265, 454, 276, 269, 4676, 20995, 689, 883, 13877, 1218, 602, 1223, 1291, 547, 1416, 16531, 692, 3528, 3206, 7184, 827, 891, 840, 32383, 267, 649, 1831, 811, 3222, 540, 938, 2623, 543, 922, 1764, 593, 519, 1158, 1472, 721, 269, 898, 7512, 721, 547, 1397, 14696, 585, 3388, 649, 723, 1247, 20678, 547, 957, 24963, 2509, 1866, 780, 8469, 2787, 543, 24238, 454, 10900, 13430, 288, 2629, 2460, 540, 8026, 13221, 568, 9066, 269, 3414, 9361, 23900, 543, 2519, 593, 7362, 610, 824, 3615, 267, 649, 5721, 938, 8186, 547, 13404, 1732, 269, 2405, 527, 2209, 849, 2119, 547, 11349, 11009, 1765, 7424, 4628, 7722, 543, 1459, 538, 8726, 2534, 789, 616, 3257, 780, 19865, 281, 6657, 6182, 520, 3363, 543, 14506, 454, 14343, 14945, 3086, 621, 781, 942, 585, 596, 547, 4019, 930, 540, 891, 3741, 256, 6056, 827, 1945, 596, 1745, 18507, 585, 267, 971, 607, 2348, 513, 1920, 267, 2828, 267, 610, 1256, 1175, 11981, 513, 4190, 1554, 3544, 269, 3767, 2328, 1524, 1614, 2081, 596, 666, 2769, 707, 14696, 585, 713, 3364, 269, 8921, 267, 2015, 875, 596, 949, 723, 3361, 2800, 5063, 267, 2901, 17543, 610, 16662, 1549, 958, 269, 3503, 1524, 1079, 1507, 2242, 596, 666, 1118, 547, 2061, 713, 2800, 3001, 4464, 269, 5457, 267, 4742, 811, 13533, 540, 938, 4555, 543, 3527, 2636, 721, 547, 1332, 607, 2043, 543, 1628, 6793, 4296, 609, 1346, 1472, 721, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 3269, 307, 20044, 514, 6022, 15879, 1862, 320, 3406, 585, 454, 307, 20044, 514, 6022, 15879, 267, 4535, 607, 667, 1014, 324, 31473, 267, 568, 513, 12021, 5375, 14418, 562, 684, 945, 814, 6131, 1200, 1272, 547, 13221, 269, 2701, 568, 519, 1101, 5375, 19716, 13166, 3921, 7134, 607, 513, 14418, 562, 684, 543, 1851, 519, 1101, 1906, 14418, 2021, 547, 723, 25189, 513, 15398, 5289, 4567, 676, 7836, 12964, 1296, 538, 18956, 538, 513, 13946, 538, 519, 22615, 28569, 269, 6022, 15879, 814, 834, 18478, 513, 12247, 547, 12492, 21481, 538, 519, 4775, 1106, 1100, 2339, 875, 1082, 3076, 564, 1307, 621, 3217, 1701, 2701, 814, 13991, 543, 14894, 539, 1200, 1272, 547, 3895, 519, 6560, 585, 2021, 781, 1582, 22523, 267, 1582, 22190, 26150, 267, 543, 5289, 21481, 563, 6944, 9009, 547, 1034, 10764, 267, 13221, 568, 519, 1152, 2101, 5289, 543, 3909, 3350, 711, 1759, 593, 2696, 269, 6844, 327, 1235, 3494, 602, 2696, 568, 513, 10151, 3239, 602, 6818, 538, 513, 1480, 2247, 267, 799, 666, 581, 4957, 543, 12012, 269, 4475, 267, 621, 568, 2808, 796, 3772, 547, 1491, 9675, 543, 3494, 538, 519, 2219, 540, 2696, 269, 634, 17700, 11363, 519, 2956, 540, 7231, 609, 1018, 6818, 538, 1272, 267, 1775, 4318, 269, 519, 7092, 543, 544, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 294, 7806, 3363, 543, 14506, 257, 607, 851, 540, 834, 32628, 1315, 4168, 12389, 1315, 8061, 10899, 4750, 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, 513, 4241, 1158, 540, 2575, 543, 1686, 256, 5620, 596, 2479, 9289, 1018, 621, 781, 899, 3330, 513, 4583, 2575, 9754, 286, 2913, 781, 7832, 593, 606, 16494, 3460, 547, 835, 540, 519, 1034, 6909, 4025, 910, 519, 9576, 9142, 540, 8535, 7467, 538, 5507, 269, 901, 1747, 814, 930, 5863, 11580, 602, 649, 2811, 9599, 547, 2671, 609, 596, 2439, 5331, 6972, 883, 513, 4055, 4904, 609, 16782, 689, 1472, 519, 1158, 269, 2311, 713, 9754, 267, 891, 16782, 5749, 1405, 4154, 11113, 610, 31394, 9925, 1564, 282, 789, 2811, 4190, 7574, 7405, 267, 10475, 6054, 267, 543, 9159, 4773, 540, 11247, 4448, 547, 15999, 2984, 827, 2575, 543, 12372, 269, 1306, 513, 8049, 24413, 267, 596, 1205, 547, 10625, 891, 6456, 8941, 543, 1174, 875, 2575, 814, 7960, 936, 5553, 1318, 1354, 707, 4064, 2439, 4131, 803, 6338, 596, 547, 930, 9058, 3615, 538, 519, 9754, 1384, 272, 269, 2878, 288, 15329, 514, 28546, 1280, 589, 10348, 5093, 7324, 519, 1082, 10875, 7405, 267, 972, 781, 835, 2027, 30413, 1572, 1412, 309, 328, 2714, 328, 608, 5174, 16078, 9538, 5994, 8066, 1945, 602, 729, 18705, 676, 519, 19416, 561, 3578, 1512, 630, 7474, 781, 513, 16681, 2262, 585, 1412, 24825, 514, 20536, 10807, 3957, 21293, 853, 2784, 19041, 1394, 538, 476, 10204, 280, 256, 4634, 16830, 982, 602, 267, 713, 1360, 6293, 729, 694, 1066, 12184, 585, 9039, 824, 982, 10348, 21322, 4165, 334, 6839, 974, 9887, 256, 3807, 4605, 2576, 4730, 6653, 23964, 2523, 585, 28370, 1107, 530, 578, 256, 2052, 596, 4952, 799, 8964, 1522, 723, 1044, 5129, 286, 9320, 1256, 15885, 2813, 1175, 585, 1200, 286, 1548, 1131, 1346, 3280, 899, 2221, 2496, 273, 269, 2878, 294, 559, 6975, 543, 590, 29229, 781, 9457, 12328, 5093, 5457, 950, 594, 5018, 4505, 827, 10475, 6054, 286, 4270, 267, 1934, 781, 1776, 9735, 4062, 540, 1686, 7996, 585, 721, 547, 3605, 269, 1703, 781, 513, 5299, 540, 519, 3312, 6060, 2854, 676, 1079, 13085, 9543, 5443, 3957, 31408, 543, 590, 29229, 585, 741, 1134, 8153, 22968, 11331, 1412, 763, 631, 1731, 5964, 8339, 6056, 540, 782, 519, 1004, 945, 723, 2938, 610, 5340, 713, 1404, 2429, 942, 269, 1215, 1082, 1114, 2081, 1223, 789, 723, 23475, 519, 1482, 1913, 543, 4967, 286, 27355, 1405, 621, 10578, 875, 1945, 865, 2025, 1869, 6770, 7772, 543, 6667, 547, 9118, 5159, 543, 9458, 7567, 2496, 274, 269, 2878, 24523, 3414, 5384, 5093, 4438, 938, 3643, 267, 649, 849, 7237, 1585, 2010, 540, 7405, 1031, 1279, 3516, 269, 2290, 1383, 568, 606, 476, 1240, 628, 10601, 3771, 1186, 747, 867, 269, 17451, 4862, 540, 29732, 610, 20787, 691, 286, 1358, 5206, 2575, 4481, 5921, 585, 713, 3504, 13691, 6293, 269, 16514, 3054, 6947, 547, 835, 540, 741, 25704, 1373, 9900, 4547, 1394, 547, 1272, 998, 513, 2661, 17431, 269, 6496, 333, 1405, 621, 1745, 899, 19480, 883, 513, 9589, 942, 3684, 1141, 1686, 10742, 5876, 2496, 2026, 649, 3802, 1472, 519, 9754, 267, 649, 2743, 5363, 2875, 10274, 11235, 547, 2671, 1187, 5013, 543, 2626, 2055, 827, 3388, 649, 1294, 269, 1452, 25981, 2104, 12372, 7390, 519, 9576, 9142, 540, 8535, 3294, 267, 1818, 873, 3501, 4663, 14609, 625, 945, 917, 13907, 827, 1312, 519, 9754, 543, 519, 9872, 781, 3638, 6561, 780, 4517, 7058, 1018, 286, 3776, 7045, 3085, 1405, 1439, 16280, 256, 1284, 1265, 856, 602, 519, 9754, 14747, 15813, 1863, 2621, 899, 30145, 543, 15872, 1930, 547, 3025, 269, 1924, 1310, 3695, 519, 26847, 267, 649, 1522, 1256, 6952, 513, 2773, 15386, 909, 7146, 268, 5765, 15421, 10114, 3293, 1369, 519, 30028, 6821, 269, 5808, 6487, 267, 6148, 14693, 4166, 649, 3513, 5544, 513, 5432, 3068, 7900, 593, 3942, 610, 2870, 12300, 2575, 7044, 2439, 3528, 9683, 519, 9576, 9142, 540, 8535, 7467, 12303, 610, 9308, 267, 596, 1932, 1831, 851, 540, 713, 5571, 1650, 14120, 519, 1379, 540, 2575, 2066, 5481, 269, 3767, 3884, 1405, 602, 606, 22539, 1259, 547, 5660, 519, 5898, 540, 2575, 543, 1686, 5916, 286, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 19350, 616, 476, 276, 4128, 1946, 519, 9576, 9142, 540, 8535, 7467, 538, 5507, 568, 513, 1590, 585, 2575, 18798, 2336, 272, 269, 16731, 519, 9576, 9142, 540, 8535, 7467, 547, 2263, 2189, 7405, 267, 22251, 543, 1148, 267, 543, 3605, 3297, 7308, 27214, 25333, 2984, 689, 519, 2136, 8003, 779, 9510, 11122, 6737, 790, 563, 273, 269, 769, 8628, 26847, 543, 10151, 10525, 267, 8436, 786, 1294, 5182, 3688, 971, 607, 519, 2048, 309, 328, 2714, 328, 608, 5174, 16078, 685, 476, 10204, 280, 30413, 676, 21293, 853, 2784, 19041, 2899, 5129, 547, 10348, 21322, 4165, 334, 6839, 974, 267, 31408, 543, 590, 29229, 779, 3312, 6060, 585, 2048, 763, 631, 1731, 5964, 8730, 543, 513, 29503, 6121, 25869, 689, 519, 3689, 2622, 2782, 563, 274, 269, 1411, 666, 1451, 827, 519, 1909, 519, 9142, 543, 922, 620, 30282, 723, 5129, 538, 7574, 1646, 585, 5176, 476, 1220, 1296, 267, 543, 5310, 5873, 513, 2661, 19922, 17431, 540, 606, 476, 1240, 628, 2540, 3771, 1186, 747, 867, 563, 275, 269, 634, 7874, 20155, 32113, 1218, 616, 9142, 1053, 945, 786, 2995, 596, 811, 827, 519, 10525, 543, 2911, 827, 741, 2090, 693, 519, 9142, 563, 276, 269, 634, 9576, 9142, 540, 8535, 7467, 5781, 6585, 1863, 1857, 7574, 543, 11000, 2621, 267, 544, 2224, 6231, 8620, 606, 2502, 543, 3015 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 9436, 4586, 30606, 281, 10318, 1588, 540, 2139, 16903, 538, 3037, 630, 302, 3149, 523, 1696, 620, 1421, 476, 4198, 275, 994, 15703, 2409, 616, 1031, 585, 519, 8990, 540, 2139, 16903, 538, 11934, 563, 23744, 1079, 2409, 616, 4122, 1031, 269, 634, 744, 3149, 839, 1505, 630, 302, 3149, 523, 1696, 620, 1421, 476, 4198, 275, 264, 568, 1031, 585, 454, 928, 23018, 543, 22279, 3037, 1141, 607, 519, 4858, 903, 1505, 630, 289, 2001, 543, 918, 4669, 345, 267, 476, 3707, 276, 264, 568, 1031, 585, 3679, 454, 1103, 744, 3149, 839, 1505, 2139, 16903, 538, 3037, 568, 13939, 676, 24373, 519, 3037, 609, 476, 271, 269, 276, 454, 300, 9770, 22833, 12365, 622, 3070, 14661, 693, 9063, 476, 279, 269, 276, 538, 519, 4527, 540, 11023, 1723, 717, 268, 2568, 630, 7617, 25309, 454, 4134, 11825, 539, 5214, 2339, 543, 2337, 538, 4758, 2312, 1349, 1040, 1912, 6664, 11501, 538, 519, 1349, 568, 5701, 454, 5976, 16139, 1756, 544, 8432, 321, 11845, 267, 799, 2164, 538, 519, 5250, 540, 10636, 30496, 23838, 454, 263, 874, 6664, 558, 8432, 321, 11845, 1040, 634, 8485, 558, 8432, 321, 11845, 568, 4389, 676, 519, 946, 540, 10965, 743, 273, 630, 320, 4227, 8665, 1916, 18814, 547, 713, 5786, 267, 930, 540, 7720, 277, 32504, 529, 10736, 547, 7720, 274, 32504, 267, 543, 1950, 17648, 519, 454, 19990, 7990, 269, 634, 8515, 540, 4544, 7990, 5833, 666, 581, 6027, 693, 476, 32133, 16354, 15423, 593, 513, 454, 306, 1051, 5268, 582, 10309, 267, 24373, 3684, 267, 598, 673, 1166, 2532, 267, 2019, 636, 13011, 1166, 2532, 267, 10398, 8291, 267, 7893, 454, 1097, 331, 5407, 267, 1187, 6773, 3092, 563, 272, 269, 476, 271, 269, 276, 631, 9770, 22833, 12365, 622, 2433, 6875, 8308, 476, 5655, 575, 540, 10878, 295, 4596, 274, 543, 23271, 538, 30341, 454, 4248, 543, 1118, 519, 4320, 835, 1396, 516, 269, 17797, 519, 9063, 540, 713, 3070, 547, 476, 279, 269, 276, 9063, 609, 476, 272, 454, 273, 269, 11023, 1723, 8566, 476, 2568, 610, 15181, 23315, 630, 874, 6664, 11501, 1863, 1916, 274, 269, 2549, 3000, 1756, 544, 8432, 321, 11845, 476, 272, 269, 276, 260, 2433, 19837, 9876, 476, 1428, 575, 540, 16139, 1756, 544, 8432, 321, 11845, 538, 476, 4968, 16720, 540, 454, 342, 1301, 30341, 1216, 630, 12671, 476, 2004, 476, 271, 290, 1040, 31207, 519, 7848, 267, 952, 2556, 543, 1450, 621, 547, 454, 322, 944, 269, 3973, 1039, 476, 31079, 16720, 540, 13671, 670, 5141, 7930, 676, 1193, 2590, 621, 269, 667, 559, 1393, 547, 835, 1396, 516, 454, 5976, 30341, 1216, 563, 275, 269, 853, 2335, 748, 17296, 630, 18450, 3070, 2567, 19837, 9876, 476, 1015, 575, 540, 10965, 5141, 273, 538, 476, 1839, 16720, 13671, 670, 5141, 454, 663, 1039, 513, 4062, 540, 17646, 1287, 3002, 621, 11489, 621, 3587, 2312, 269, 15188, 713, 3070, 538, 513, 993, 828, 454, 276, 269, 11554, 3070, 540, 853, 2335, 748, 17296, 281, 6875, 476, 272, 269, 271, 16720, 6006, 3070, 540, 10965, 5141, 273, 543, 1118, 454, 5780, 16720, 609, 30341, 1216, 563, 277, 269, 9208, 3070, 540, 16903, 2433, 6875, 476, 271, 269, 275, 4375, 575, 540, 589, 10611, 269, 918, 295, 273, 17269, 275, 630, 8576, 12015, 693, 476, 2412, 476, 271, 290, 994, 663, 23271, 538, 827, 3368, 513, 1396, 516, 30341, 1216, 269, 5410, 547, 713, 476, 1839, 16720, 476, 278, 715, 670, 273, 12569, 275, 543, 454, 24708, 519, 4320, 593, 2148, 609, 30341, 1216, 269, 901, 3947, 476, 1911, 28327, 623, 630, 1911, 8406, 623, 829, 454, 7093, 6768, 513, 476, 272, 269, 271, 28327, 623, 3070, 676, 2921, 476, 273, 269, 276, 16720, 540, 476, 1911, 28327, 3070, 538, 476, 7742, 16720, 2019, 636, 13011, 454, 4148, 2532, 543, 1118, 922, 4320, 609, 30341, 1216, 269, 1677, 5965, 519, 3044, 7455, 540, 1114, 454, 935, 1417, 1674, 529, 540, 623, 267, 1491, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 267, 476, 279, 267, 476, 280, 543, 476, 1015, 16720, 540, 476, 272, 269, 271, 28327, 3070, 538, 476, 1839, 16720, 454, 14179, 636, 13011, 1166, 2532, 543, 1246, 519, 5650, 585, 1646, 540, 7990, 607, 2016, 585, 3732, 543, 454, 24708, 519, 4320, 476, 1839, 16720, 269, 1452, 786, 2270, 476, 271, 269, 6860, 267, 476, 271, 269, 5400, 267, 476, 271, 269, 1321, 267, 476, 271, 269, 1626, 267, 476, 271, 269, 736, 267, 476, 271, 269, 2190, 267, 476, 271, 269, 2764, 267, 476, 271, 269, 3953, 267, 476, 271, 269, 3607, 454, 663, 476, 271, 269, 2412, 28327, 623, 267, 6606, 269, 4746, 5965, 513, 10145, 1510, 4946, 918, 295, 273, 17269, 275, 3070, 269, 634, 454, 1348, 902, 616, 3144, 593, 4715, 5268, 582, 10309, 693, 476, 32133, 16354, 15423, 269, 634, 7455, 568, 28367, 2921, 519, 454, 338, 1051, 5268, 582, 10309, 2542, 593, 7299, 7852, 543, 2179, 540, 623, 538, 28327, 593, 8880, 7852, 563, 272, 269, 6875, 476, 276, 575, 540, 3037, 883, 513, 476, 7742, 16720, 598, 673, 1166, 2532, 543, 1039, 513, 2370, 2179, 540, 16903, 1863, 454, 273, 269, 5410, 476, 1911, 16720, 540, 476, 271, 269, 276, 631, 10878, 295, 4596, 274, 3070, 883, 519, 1166, 2532, 543, 21199, 519, 598, 1017, 1166, 2532, 585, 454, 1789, 3764, 593, 513, 7344, 695, 6033, 563, 274, 269, 31207, 519, 20022, 998, 513, 1548, 2006, 3143, 269, 476, 5655, 6882, 1957, 543, 1491, 476, 276, 16720, 620, 1172, 582, 540, 454, 1492, 1349, 538, 513, 476, 1839, 16720, 2019, 636, 13011, 1166, 2532, 563, 275, 269, 5410, 476, 276, 16720, 540, 16139, 1756, 544, 8432, 321, 11845, 3070, 543, 513, 2370, 7274, 540, 30341, 1216, 543, 454, 3333, 820, 519, 9115, 540, 519, 2019, 636, 13011, 1166, 2532, 563, 276, 269, 5410, 476, 272, 16720, 540, 2324, 10965, 5141, 273, 3070, 538, 1142, 476, 1839, 16720, 2019, 636, 13011, 1166, 2532, 543, 1118, 519, 454, 14179, 2541, 15399, 334, 476, 1839, 16720, 609, 30341, 1216, 543, 21199, 1134, 563, 277, 269, 12763, 519, 10141, 339, 766, 540, 519, 3070, 23295, 1369, 476, 276, 547, 476, 736, 3764, 1310, 519, 454, 611, 1288, 540, 10965, 5141, 273, 3070, 593, 476, 32133, 16354, 15423, 538, 513, 4715, 5268, 582, 10309, 610, 1210, 2699, 454, 16344, 614, 21890, 1777, 14805, 5184, 2681, 9014, 563, 278, 269, 30027, 3585, 2196, 513, 10145, 1510, 3037, 1739, 519, 1482, 5650, 543, 1491, 519, 454, 25332, 969, 725, 543, 9819, 454, 272, 269, 13379, 540, 3037, 3144, 815, 476, 276, 575, 454, 273, 269, 11730, 540, 476, 271, 269, 276, 631, 10878, 295, 4596, 274, 3144, 815, 476, 1911, 16720, 454, 274, 269, 1325, 1172, 582, 540, 1349, 3144, 815, 476, 276, 16720, 454, 275, 269, 15937, 4320, 540, 1349, 815, 476, 1839, 16720, 630, 5475, 7990, 1646, 994, 276, 269, 4715, 5268, 582, 10309, 2542, 540, 3037, 3732, 815, 2473, 454, 277, 269, 4715, 5268, 582, 10309, 2542, 540, 10145, 3732, 815, 962, 454, 278, 269, 28327, 623, 5833, 689, 3113, 676, 1210, 2473, 815, 2098, 272, 454, 279, 269, 28327, 623, 5833, 689, 3113, 676, 1210, 962, 815, 2098, 273, 454, 288, 1998, 762, 623, 630, 11899, 270, 3873, 264, 815, 2098, 272, 19053, 273, 2473, 476, 1911, 630, 546, 8807, 4700, 2473, 476, 273, 269, 2190, 454, 13510, 9005, 623, 273, 302, 276, 630, 11899, 270, 3873, 264, 815, 2098, 272, 19053, 273, 1535, 476, 1911, 630, 323, 8807, 4700, 2473, 476, 273, 269, 2190, 1535, 476, 273, 269, 3066, 454, 24127, 540, 1349, 656, 3144, 15937, 4320, 540, 1349, 454, 323, 8807, 269, 815, 10900, 9339, 268, 2473, 476, 14343, 8894, 26574, 540, 3037, 11730, 540, 1349, 3144, 454, 273, 269, 2190, 815, 23586, 3815, 585, 14291, 28327, 883, 4846, 270, 3873, 454, 273, 269, 3066, 815, 23586, 3815, 585, 14291, 623, 538, 547, 623, 273, 302, 276, 454, 272, 269, 2422, 16903, 1863, 15181, 23315, 543, 952, 711, 1863, 1287, 11547, 621, 609, 32561, 670, 5141, 454, 339, 650, 621, 3587, 623, 1863, 267, 799, 666, 581, 7318, 676, 4946, 8392, 558, 8432, 321, 323, 545, 3679, 543, 454, 560, 2335, 748, 17296, 547, 519, 12974, 3433, 269, 2561, 30970, 540, 4544, 7990, 2982, 519, 4527, 540, 623, 563, 273, 269, 1403, 12974, 3433, 568, 711, 7990, 1652, 1287, 1039, 811, 11023, 1723, 717, 268, 2568, 21199, 543, 6882, 1586, 563, 274, 269, 18610, 2324, 3070, 540, 10965, 5141, 273, 1058, 581, 5423, 693, 519, 942, 540, 1646, 540, 454, 3712, 712, 538, 623, 1349, 563, 275, 269, 16680, 519, 2542, 711, 1354, 476, 276, 3764, 543, 711, 2663, 982, 476, 736, 3764, 1310, 454, 31141, 540, 7990, 563, 276, 269, 7335, 1058, 581, 3144, 693, 476, 32133, 16354, 610, 1210, 2699, 6882, 563, 11328, 13133, 566, 540, 2164, 281, 28951, 540, 3037, 1759, 593, 2139, 16903, 538, 3037, 3732, 563, 13510, 9005, 623, 630, 11899, 270, 3873, 264, 12232, 623, 273, 302, 276, 630, 11899, 270, 3873, 264, 14606, 12773, 454, 1015, 476, 2537, 8899, 454, 1015, 268, 736, 476, 2537, 268, 5379, 23839, 454, 736, 476, 5379, 4400, 454, 4910, 738, 281, 634, 2139, 16903, 4567, 540, 519, 3037, 568, 1366, 955, 4846, 1315, 688, 267, 4061, 3037, 568, 28612, 734, 8894, 30606, 2433, 10318, 1588, 540, 2139, 11379, 538, 3037, 630, 300, 1115, 517, 267, 476, 4198, 277, 994, 1103, 2489, 2139, 11379, 2882, 5385, 762, 543, 1216, 19729, 11379, 538, 454, 810, 2812, 4849, 602, 540, 29649, 610, 29649, 268, 7091, 545, 11934, 269, 12232, 918, 568, 5462, 676, 25935, 519, 3037, 454, 2421, 24373, 609, 715, 9243, 16139, 1756, 21449, 622, 3070, 269, 634, 16139, 1756, 12274, 5372, 11379, 454, 687, 12842, 593, 519, 3037, 2458, 6950, 563, 263, 17686, 1355, 264, 918, 266, 1341, 8863, 274, 4596, 2177, 295, 275, 630, 322, 3326, 1355, 264, 19760, 275, 454, 266, 1341, 8863, 274, 2910, 10498, 454, 763, 16759, 540, 11379, 538, 519, 1349, 568, 5645, 856, 609, 519, 948, 540, 18723, 454, 14503, 877, 2584, 10309, 267, 24373, 3684, 267, 598, 673, 1166, 3696, 267, 2019, 636, 13011, 1166, 2532, 267, 10398, 8291, 267, 581, 6033, 2676, 272, 269, 715, 9243, 16139, 1756, 21449, 622, 3070, 2433, 6875, 476, 10384, 16720, 540, 30341, 1216, 538, 513, 835, 1396, 516, 454, 14179, 636, 13011, 1166, 2532, 269, 5410, 476, 6872, 16720, 540, 30961, 1035, 2045, 3679, 630, 4200, 269, 276, 8472, 543, 1287, 1039, 476, 7597, 16720, 540, 454, 935, 1417, 3603, 16139, 1756, 28355, 269, 667, 559, 1393, 621, 547, 827, 476, 12010, 16720, 543, 4188, 519, 9063, 693, 476, 278, 269, 271, 454, 2421, 4946, 476, 274, 715, 19760, 275, 15121, 610, 476, 274, 715, 8863, 274, 2910, 15121, 543, 1118, 909, 547, 835, 1396, 516, 269, 898, 666, 849, 581, 454, 2181, 335, 1563, 676, 4744, 6295, 476, 6507, 269, 6860, 575, 540, 16139, 1756, 21449, 622, 538, 476, 12010, 16720, 540, 30341, 1216, 543, 454, 611, 3286, 519, 9063, 693, 476, 278, 269, 271, 676, 4946, 19760, 275, 15121, 610, 8863, 274, 4596, 15121, 607, 2838, 543, 1118, 519, 454, 14179, 2541, 835, 1396, 516, 563, 273, 269, 9208, 3070, 281, 19837, 9876, 476, 272, 269, 11011, 575, 8121, 3446, 918, 5141, 538, 30341, 1216, 543, 1118, 519, 454, 14179, 2541, 835, 1396, 516, 269, 901, 3070, 3568, 476, 1911, 271, 8406, 298, 13624, 1775, 4318, 269, 476, 1911, 271, 28327, 918, 563, 274, 269, 11554, 3070, 540, 918, 2433, 6875, 476, 1015, 16720, 540, 476, 1911, 271, 28327, 918, 3070, 538, 476, 1911, 16720, 2019, 636, 13011, 454, 4148, 2532, 543, 1118, 519, 4320, 269, 901, 786, 2270, 476, 1911, 28327, 918, 563, 272, 269, 6875, 476, 276, 575, 3037, 538, 476, 5611, 16720, 598, 673, 1166, 2532, 454, 273, 269, 5410, 476, 1839, 16720, 715, 9243, 16139, 1756, 21449, 622, 3070, 543, 21199, 585, 476, 276, 3764, 593, 513, 695, 6033, 563, 274, 269, 31207, 519, 9115, 998, 513, 1548, 2006, 3143, 269, 476, 272, 6882, 1957, 543, 7947, 1101, 1906, 12772, 540, 454, 275, 269, 16376, 519, 12974, 3433, 547, 18723, 2584, 10309, 1310, 2556, 4259, 543, 23363, 540, 519, 454, 276, 269, 4746, 2196, 513, 10145, 1510, 3037, 1210, 519, 1482, 5650, 563, 27609, 566, 540, 4441, 454, 5804, 519, 476, 1911, 28327, 3070, 1491, 476, 1015, 267, 476 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 2171, 5000, 596, 543, 707, 1053, 547, 13686, 707, 4928, 3785, 693, 713, 1032, 781, 12655, 8235, 6019, 12876, 593, 3047, 4303, 267, 11728, 267, 4989, 476, 2420, 267, 476, 1708, 275, 269, 901, 568, 606, 5140, 1259, 547, 585, 707, 1053, 547, 4159, 741, 960, 267, 3060, 609, 835, 1776, 267, 543, 2744, 3407, 6881, 1983, 563, 28716, 519, 20885, 12876, 2985, 547, 1451, 811, 563, 11754, 7675, 519, 5539, 585, 2825, 7816, 607, 2043, 267, 5238, 267, 543, 14078, 454, 8794, 519, 23408, 543, 6575, 547, 1732, 1174, 519, 4644, 540, 6940, 543, 2916, 1689, 538, 8235, 6019, 454, 8698, 532, 2916, 1689, 998, 519, 5030, 23800, 540, 8235, 6019, 7264, 454, 11947, 2775, 532, 2199, 6940, 7341, 454, 19102, 2084, 4656, 540, 6940, 998, 2773, 1299, 14266, 454, 8777, 1645, 2950, 538, 6940, 998, 11925, 267, 3785, 1299, 5717, 454, 2750, 600, 1456, 519, 1764, 540, 6940, 593, 4683, 2127, 538, 8235, 6019, 454, 18698, 6940, 538, 519, 4928, 454, 3721, 476, 272, 281, 11814, 782, 3785, 270, 4103, 547, 581, 7604, 1078, 689, 707, 1053, 269, 7490, 1118, 2386, 602, 596, 5531, 519, 1739, 1344, 912, 763, 2140, 540, 519, 1788, 563, 763, 2407, 2012, 540, 519, 2875, 543, 741, 9053, 21770, 563, 763, 2875, 781, 4757, 267, 6049, 1297, 267, 543, 2232, 563, 11243, 540, 1576, 267, 1576, 1297, 267, 543, 14357, 2012, 563, 288, 476, 273, 268, 274, 4845, 12092, 267, 1519, 519, 2875, 781, 2012, 267, 2816, 2140, 630, 528, 2101, 1070, 543, 513, 5618, 6609, 540, 707, 4282, 269, 1411, 949, 1331, 1344, 971, 607, 1141, 596, 2661, 538, 8235, 6019, 267, 12348, 270, 15517, 338, 267, 610, 707, 7499, 6138, 563, 288, 5618, 6609, 540, 519, 1788, 1107, 552, 3052, 1421, 875, 621, 729, 1500, 630, 691, 1106, 270, 4364, 1756, 1070, 3483, 4882, 20138, 766, 540, 1788, 267, 24117, 585, 2870, 519, 1788, 267, 3092, 563, 3721, 476, 273, 281, 9105, 782, 1053, 270, 4820, 4602, 1218, 547, 1129, 519, 966, 7860, 540, 8235, 6019, 15668, 1106, 547, 2671, 741, 960, 543, 2445, 782, 9896, 3649, 1392, 269, 16731, 519, 20885, 12876, 2985, 547, 4647, 519, 3649, 1853, 543, 11578, 585, 519, 4023, 563, 3721, 476, 274, 281, 28651, 856, 547, 4757, 11333, 2593, 547, 11282, 519, 4015, 540, 1568, 543, 3649, 1392, 563, 8923, 11282, 609, 721, 1991, 547, 4728, 476, 4029, 267, 476, 1708, 275, 267, 610, 607, 4166, 607, 596, 723, 513, 1544, 2336, 8923, 2638, 1394, 267, 607, 713, 2985, 786, 581, 8242, 2429, 519, 476, 1708, 274, 268, 1708, 275, 4081, 1032, 563, 5970, 707, 1053, 1711, 3059, 2984, 602, 616, 11347, 540, 741, 2078, 609, 741, 1604, 269, 634, 3059, 2984, 666, 581, 2123, 6386, 610, 21503, 2984, 4448, 547, 1808, 4025, 538, 8235, 6019, 269, 2107, 596, 1223, 723, 1053, 1382, 606, 2825, 3390, 4448, 547, 8235, 6019, 543, 1711, 513, 3059, 1650, 602, 8711, 741, 1382, 269, 8437, 1934, 585, 3732, 3059, 9423, 10467, 543, 2200, 563, 30655, 622, 593, 513, 834, 306, 20980, 8235, 6019, 257, 5816, 267, 1141, 1142, 2875, 11339, 827, 875, 938, 4657, 2916, 5540, 741, 2729, 267, 29377, 1382, 827, 606, 2825, 3390, 602, 789, 616, 13730, 827, 267, 610, 11042, 8235, 6019, 2146, 2818, 827, 2825, 2152, 1271, 547, 873, 563, 14946, 513, 4928, 5711, 1686, 1788, 269, 4841, 666, 5967, 1920, 2818, 267, 12543, 267, 610, 2146, 2818, 689, 3105, 5481, 827, 6940, 610, 2081, 602, 649, 607, 513, 2486, 666, 12167, 585, 8733, 5126, 563, 19686, 543, 2259, 912, 13706, 2409, 543, 2259, 540, 6940, 538, 519, 6575, 269, 1215, 798, 5159, 1305, 7182, 593, 741, 2326, 538, 1931, 547, 1711, 519, 960, 286, 9105, 1053, 547, 1445, 538, 593, 513, 1305, 540, 2326, 1644, 547, 6940, 538, 741, 2729, 267, 543, 1711, 1007, 1148, 689, 1346, 2326, 269, 4841, 666, 1305, 3652, 585, 2933, 267, 971, 607, 10655, 476, 272, 3018, 779, 4502, 540, 17885, 543, 2870, 513, 968, 1345, 268, 1636, 11681, 540, 20549, 1848, 2107, 2445, 3688, 689, 513, 1808, 1604, 910, 6288, 267, 13452, 267, 2199, 6908, 267, 12341, 1310, 513, 1857, 2680, 543, 30712, 513, 17855, 540, 519, 2230, 609, 519, 3688, 630, 5408, 16099, 681, 13704, 2630, 1916, 763, 7376, 3948, 540, 17286, 2088, 7066, 653, 267, 945, 1152, 3096, 2326, 602, 2907, 2291, 538, 1200, 18638, 267, 543, 2760, 1207, 903, 1007, 3283, 269, 3367, 1200, 7376, 3948, 563, 1103, 834, 14701, 26059, 9215, 5990, 700, 4353, 5058, 267, 7043, 14970, 2558, 1662, 2437, 27201, 2861, 7376, 16099, 681, 13704, 3096, 2326, 6394, 689, 17822, 538, 519, 27040, 2136, 2276, 547, 2995, 513, 9661, 540, 1312, 2199, 5533, 543, 2518, 7286, 10969, 566, 269, 681, 13704, 2813, 9380, 1116, 1568, 267, 3774, 1759, 1568, 267, 543, 3381, 1210, 1455, 3688, 18233, 909, 538, 10068, 24437, 689, 519, 5010, 10068, 2872, 538, 519, 1858, 563, 3519, 1061, 543, 1650, 912, 13706, 875, 1148, 9356, 3584, 540, 6940, 998, 1523, 267, 6041, 267, 1650, 267, 543, 5924, 1106, 269, 4841, 1522, 2015, 2870, 513, 1788, 602, 6054, 513, 2199, 3390, 610, 2146, 2818, 789, 917, 945, 949, 723, 1044, 12936, 676, 606, 2825, 3390, 269, 4841, 1522, 2015, 2870, 960, 602, 568, 9927, 676, 2067, 2609, 538, 519, 1184, 563, 17442, 307, 30377, 25007, 17793, 345, 1512, 779, 3785, 2232, 3584, 540, 4853, 1143, 267, 681, 755, 25028, 26016, 1436, 267, 2825, 5126, 267, 1569, 547, 2973, 1216, 267, 4600, 685, 2924, 543, 811, 998, 10344, 267, 3381, 267, 2773, 267, 10380, 543, 2835, 269, 6258, 811, 827, 1200, 960, 543, 2070, 1200, 3381, 2200, 563, 2304, 320, 21780, 2884, 320, 779, 960, 2882, 10344, 267, 4670, 267, 3381, 267, 5373, 267, 17001, 543, 3135, 10391, 19698, 269, 21771, 1331, 24815, 267, 12761, 267, 543, 513, 2132, 547, 519, 5251, 269, 4173, 1134, 8153, 1560, 540, 960, 968, 338, 559, 340, 564, 553, 892, 1202, 9216, 1200, 1560, 883, 519, 5251, 267, 543, 616, 9927, 676, 2067, 2609, 269, 6258, 811, 827, 1200, 960, 563, 15812, 667, 542, 779, 960, 12116, 519, 2081, 538, 799, 8789, 19237, 543, 1857, 5238, 3337, 938, 1620, 540, 1686, 267, 1702, 543, 519, 2067, 1158, 269, 1261, 5932, 19698, 540, 1585, 10070, 547, 2243, 519, 1843, 2032, 540, 519, 3621, 5639, 538, 4207, 2486, 269, 6258, 811, 827, 1010, 960, 543, 2070, 1010, 3381, 2200, 563, 11854, 3663, 1053, 666, 1685, 4633, 827, 606, 2825, 3390, 1271, 547, 873, 693, 519, 12655, 8235, 6019, 12876, 593, 4989, 476, 2420, 563, 5970, 1053, 2594, 513, 15264, 1141, 789, 5967, 2818, 540, 519, 8235, 6019, 2146, 827, 875, 2916, 1689, 610, 2825, 2152, 1808, 547, 8235, 6019, 723, 4299, 741, 2729, 267, 3226, 1346, 4171, 9739, 616, 26173, 269, 634, 27143, 666, 581, 11251, 593, 519, 966, 7860, 540, 8235, 6019, 3896, 610, 649, 1223, 1305, 909, 513, 834, 4289, 2287, 1630, 1054, 257, 693, 519, 12655, 8235, 6019, 12876, 563, 8620, 9910, 32026, 1107, 2110, 267, 476, 272, 268, 273, 8792, 15923, 6386, 602, 2263, 2055, 827, 6940, 543, 8733, 5126, 4143, 547, 8235, 6019, 5095, 269, 1452, 1223, 2874, 540, 1936, 730, 15942, 327, 3298, 610, 7044, 563, 8620, 834, 9743, 8183, 2984, 257, 609, 2110, 6386, 10704, 1472, 513, 6249, 610, 1888, 4143, 547, 6940, 538, 8235, 6019, 563, 1805, 800, 8346, 630, 21581, 267, 10344, 267, 2923, 267, 1603, 267, 27143, 994, 14946, 513, 476, 275, 268, 276, 8792, 3381, 602, 31825, 519, 3390, 609, 519, 1857, 269, 1411, 666, 946, 5967, 22089, 267, 17245, 2511, 22089, 267, 5639, 1478, 267, 610, 824, 2994, 649, 4076, 5249, 593, 713, 19496, 269, 901, 666, 581, 606, 3390, 602, 707, 1895, 11099, 519, 1857, 1058, 723, 811, 1702, 827, 269, 1403, 2324, 609, 513, 1875, 17416, 267, 596, 1522, 3858, 593, 513, 5048, 602, 789, 1131, 849, 899, 519, 1857, 547, 917, 827, 269, 630, 9556, 1518, 547, 3514, 1576, 6859, 543, 2923, 8094, 8620, 513, 4928, 834, 22437, 564, 6874, 872, 257, 1500, 689, 6079, 539, 1957, 3762, 267, 609, 5452, 689, 595, 9448, 781, 12389, 6997, 20417, 269, 634, 3762, 786, 581, 593, 4159, 693, 519, 3400, 903, 331, 820, 13464, 538, 5614, 476, 1708, 275, 543, 693, 519, 20885, 12876, 267, 543, 786, 581, 12630, 593, 519, 12389, 6997, 20417, 538, 2904, 476, 1708, 275, 269, 966, 7860, 540, 8235, 6019, 666, 1683, 12200, 543, 2875, 2516, 609, 6079, 539, 1957, 3762, 610, 1397, 596, 875, 547, 1118, 6079, 539, 1957, 269, 589, 6079, 539, 1957, 13186, 786, 581, 4371, 538, 5988, 476, 1708, 275, 563, 24478, 633, 1603, 610, 5888, 1053, 666, 2328, 2110, 2123, 3594, 827, 741, 4296, 547, 519, 1604, 610, 513, 1888, 1644, 547, 6940, 543, 1224, 610, 1685, 873, 693, 519, 12655, 8235, 6019, 12876, 563, 14946, 513, 5816, 610, 3896, 602, 20502, 6940, 2389, 1335, 539, 1603, 10467, 563, 8620, 19297, 15386, 2875, 3785, 269, 0, 18550, 476, 1789, 267, 476, 1708, 274, 4534, 16393, 28707, 2029, 581, 519, 2104, 540, 7296, 29696, 888, 290, 7837, 12076, 7296, 3123, 827, 476, 272, 538, 476, 276, 7972, 538, 519, 2136, 2276, 267, 2687, 547, 519, 15509, 267, 1818, 621, 519, 3143, 269, 476, 272, 2014, 540, 28824, 2669, 269, 1403, 1382, 689, 3345, 13523, 2160, 12217, 856, 267, 513, 8405, 331, 864, 1223, 948, 4688, 930, 540, 1346, 2729, 563, 14722, 972, 723, 2919, 513, 3926, 596, 5957, 1472, 707, 8405, 602, 2337, 596, 16718, 7296, 269, 14878, 5523, 968, 10712, 5803, 12507, 892, 630, 338, 2432, 899, 623, 758, 2946, 3000, 1070, 621, 21697, 7296, 3270, 543, 12153, 1210, 513, 8143, 9300, 267, 24428, 3330, 513, 2688, 20805, 656, 267, 602, 30397, 3002, 6786, 689, 1396, 13189, 563, 763, 8405, 331, 864, 666, 2995, 950, 513, 16906, 568, 1373, 1396, 267, 950, 519, 1268, 568, 2921, 513, 25858, 267, 519, 942, 1063, 25858, 338, 267, 543, 875, 1419, 543, 875, 1279, 789, 11375, 1446, 269, 4635, 513, 1826, 540, 5841, 4987, 1634, 607, 2620, 1565, 267, 713, 1344, 666, 948, 3589, 2436, 513, 1268, 786, 26739, 543, 950, 547, 26544, 609, 267, 2161, 267, 513, 16335, 1257, 610, 3381, 5048, 11021, 11009, 2553, 269, 634, 3926, 568, 4330, 538, 513, 1382, 1957, 538, 18619, 540, 519, 8028, 300, 593, 20308, 267, 16353, 267, 23203, 762, 543, 29974, 19891, 748, 16370, 563, 2005, 779, 519, 5767, 538, 513, 3395, 1297, 540, 5957, 1963, 2966, 585, 7296, 29696, 269, 2368, 21015, 2914, 1941, 3457, 946, 5163, 8596, 547, 3713, 950, 596, 2461, 7296, 630, 528, 827, 547, 1040, 11524, 4125, 9221, 2269, 1186, 547, 3713, 7296, 32480, 3270, 269, 11524, 946, 12514, 11251, 538, 2363, 1122, 28904, 547, 7001, 7296, 2592, 563, 2108, 10144, 616, 9090, 4742, 811, 26224, 547, 1210, 28707, 3457, 547, 2268, 5222, 593, 741, 1072, 2223, 3081, 16114, 9655, 27958, 267, 12854, 267, 513, 7548, 538, 2780, 2257, 693, 519, 2160, 540, 6490, 874, 529, 267, 945, 729, 711, 3238, 538, 519, 1353, 269, 589, 3926, 899, 713, 8405, 331, 864, 1223, 581, 2523, 3730, 538, 7296, 29696, 1382, 267, 27958, 3081, 563, 28095, 5957, 1963, 723, 19363, 602, 519, 8405, 331, 864, 30417, 267, 519, 3345, 13523, 3173, 2161, 269, 18289, 8596, 949, 581, 8572, 547, 10646, 1063, 7296, 543, 4189, 610, 15700, 519, 5023, 269, 30446, 2269, 1186, 666, 581, 524, 13246, 727, 267, 543, 12514, 6318, 7834, 4145, 563, 3719, 540, 1576, 267, 519, 2029, 1152, 1568, 952, 1004, 2965, 5957, 621, 563, 2690, 519, 8405, 331, 864, 267, 519, 3345, 13523, 2319, 1185, 13538, 1449, 513, 18634, 269, 634, 1101, 729, 513, 1507, 4544, 20805, 656, 267, 2813, 676, 513, 476, 274, 291, 17002, 563, 14881, 4718, 602, 621, 20974, 1229, 547, 1004, 1018, 519, 9300, 2013, 6743, 899, 267, 865, 594, 3893, 519, 2856, 540, 2688, 17393, 793, 532, 543, 8228, 1114, 2665, 2223, 3081, 9972, 1353, 2278, 715, 8494, 1325, 3333, 3120, 17304, 267, 12854, 267, 12314, 7548, 540, 15324, 4915, 693, 3345, 13523, 543, 8689, 540, 519, 6280, 779, 670, 5723, 1080, 6997, 563, 2704, 3333, 3120, 17304, 7691, 602, 1004, 1131, 581, 811, 2693, 547, 5957, 513, 8405, 331, 864, 602, 20083, 741, 2511, 269, 4595, 1287, 267, 519, 2319, 814, 1044, 2688, 268, 2745, 532, 476, 274, 291, 2013, 6272, 267, 1256, 2348, 3755, 3142, 538, 741, 5172, 20805, 1218, 607, 513, 2203, 563, 2704, 3333, 3120, 17304, 779, 2319 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1315, 22335, 1299, 32532, 2762, 1315, 4317, 2920, 643, 1235, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 547, 938, 4241, 3460, 998, 519, 1158, 540, 2257, 256, 4653, 649, 2811, 2469, 547, 2263, 930, 3579, 3621, 2474, 543, 2035, 602, 596, 1522, 1265, 538, 707, 3232, 1272, 610, 1256, 538, 13777, 22618, 4066, 256, 5213, 1405, 5855, 952, 891, 1913, 3280, 7294, 1107, 649, 3513, 2736, 873, 1524, 1927, 883, 2241, 543, 24669, 2093, 780, 1262, 20238, 541, 18224, 5093, 5994, 596, 616, 4730, 513, 3381, 3014, 1141, 596, 991, 547, 3950, 3615, 3001, 1472, 596, 269, 7101, 1513, 946, 13590, 6329, 630, 13678, 1791, 547, 31923, 6786, 264, 547, 3713, 1346, 3615, 262, 7158, 543, 9883, 269, 2201, 513, 16986, 4159, 267, 596, 1294, 513, 476, 273, 291, 4786, 1175, 899, 538, 707, 3381, 3014, 267, 855, 3079, 540, 3197, 267, 621, 2982, 1483, 8996, 3688, 269, 6215, 656, 2039, 568, 875, 2484, 2476, 1945, 568, 689, 519, 16986, 267, 10268, 607, 952, 596, 941, 3168, 2786, 693, 621, 269, 15346, 267, 1318, 2496, 1262, 27028, 26975, 5093, 3767, 1577, 781, 1589, 827, 1018, 4523, 950, 596, 2490, 1055, 519, 8279, 538, 707, 4055, 269, 898, 4991, 4158, 1317, 1769, 1648, 568, 12842, 676, 1585, 1919, 1472, 721, 267, 971, 607, 6821, 267, 11647, 267, 610, 9162, 269, 12559, 26975, 1797, 865, 1136, 909, 1114, 2010, 540, 1648, 267, 899, 1769, 610, 3280, 267, 1510, 536, 23395, 621, 1394, 269, 1280, 1383, 267, 950, 596, 2911, 23900, 538, 1362, 267, 707, 5639, 4991, 12842, 676, 4478, 7252, 1354, 8757, 519, 4116, 781, 10772, 269, 1744, 327, 256, 2913, 781, 1832, 602, 1063, 721, 780, 1262, 302, 12965, 24005, 5093, 1323, 14251, 24005, 949, 3100, 899, 513, 9490, 2262, 267, 855, 4952, 1373, 2111, 547, 4585, 4992, 607, 789, 2951, 998, 2011, 256, 2334, 781, 4010, 1018, 606, 14251, 24005, 1281, 282, 1152, 3079, 540, 8384, 4992, 267, 3744, 1413, 693, 3308, 3270, 8204, 5122, 6786, 269, 1635, 8220, 12904, 547, 606, 14251, 24005, 267, 649, 666, 834, 5408, 257, 2575, 267, 4633, 267, 610, 1022, 824, 5907, 5365, 269, 1215, 5863, 1131, 621, 581, 547, 7198, 707, 5172, 5152, 607, 513, 4190, 5951, 4806, 2496, 1262, 10907, 5120, 566, 5082, 549, 1372, 5093, 16514, 3054, 4881, 2509, 513, 5458, 7641, 5496, 1247, 8876, 513, 9126, 2407, 540, 6263, 267, 9589, 27371, 269, 1879, 596, 12235, 891, 27371, 693, 519, 5496, 267, 789, 1711, 10477, 18162, 3297, 873, 269, 6684, 267, 606, 10231, 19650, 3096, 1164, 6453, 547, 9496, 856, 9211, 267, 2870, 6505, 3515, 593, 513, 8613, 610, 2780, 6895, 269, 901, 2337, 3744, 1353, 9325, 5163, 543, 2623, 780, 1262, 306, 969, 334, 3590, 5093, 6056, 827, 3843, 547, 3666, 513, 13692, 593, 707, 9416, 269, 1411, 7683, 4188, 707, 1688, 2990, 547, 2226, 922, 3666, 269, 4419, 334, 1949, 960, 13974, 910, 789, 1852, 3457, 1759, 593, 5955, 4607, 267, 4180, 3388, 13978, 7123, 543, 1568, 7561, 269, 1452, 5100, 948, 619, 616, 10876, 267, 5329, 6191, 543, 2645, 8647, 7157, 780, 1262, 10907, 5120, 18852, 5093, 24665, 18852, 616, 9735, 19269, 602, 2995, 596, 875, 3728, 1919, 616, 4657, 4287, 610, 3432, 269, 5620, 596, 2479, 5129, 513, 17040, 3014, 1141, 707, 1286, 21266, 1206, 2687, 547, 7140, 286, 2107, 6148, 1031, 513, 1900, 4831, 813, 286, 8409, 782, 723, 5787, 18852, 3330, 256, 1358, 6460, 2168, 3350, 883, 3167, 6786, 267, 3850, 5904, 543, 8924, 547, 4612, 1239, 543, 2285, 6209, 1344, 780, 1262, 306, 2438, 13503, 528, 28576, 1218, 5093, 590, 2438, 13503, 832, 616, 2326, 602, 2932, 5201, 1732, 982, 1202, 22399, 855, 8338, 982, 26423, 630, 20813, 6748, 267, 26001, 286, 1040, 17006, 2027, 5820, 267, 1572, 17585, 1218, 267, 2306, 873, 811, 3730, 269, 2368, 17585, 1218, 1039, 3063, 9211, 267, 1866, 1491, 873, 2476, 267, 8108, 9475, 269, 6145, 20057, 956, 593, 4672, 8645, 267, 17585, 1218, 3986, 15373, 832, 262, 5759, 267, 3056, 547, 6909, 18563, 899, 3859, 8440, 543, 5904, 780, 1262, 309, 659, 10840, 570, 25683, 5093, 7053, 267, 4605, 513, 20538, 15293, 5721, 15993, 609, 1079, 4496, 10824, 2673, 1927, 269, 18738, 267, 972, 781, 513, 7141, 344, 6263, 11237, 540, 1769, 10707, 1394, 543, 8521, 1063, 873, 269, 5080, 29418, 2614, 267, 713, 568, 2147, 547, 875, 12511, 13740, 7500, 256, 1358, 24244, 4617, 5122, 6786, 1210, 606, 17355, 18050, 2230, 5627, 12699, 2083, 14613, 543, 22809, 269, 6969, 27820, 3576, 936, 267, 12511, 13740, 6039, 607, 1898, 3334, 538, 2038, 5907, 3457, 780, 3086, 596, 917, 827, 891, 7415, 3621, 2035, 256, 5457, 267, 1169, 2462, 2856, 6238, 609, 7279, 543, 1620, 4130, 2694, 269, 1924, 1985, 942, 2576, 19528, 891, 2474, 267, 2671, 707, 16012, 1702, 543, 8300, 1866, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 289, 12864, 519, 29395, 1210, 713, 4994, 454, 22492, 1923, 589, 1923, 645, 1923, 595, 1923, 667, 1923, 661, 1923, 674, 1923, 717, 1923, 670, 1923, 594, 1923, 808, 1923, 918, 1923, 700, 1923, 631, 1923, 715, 1923, 744, 1923, 623, 1923, 1627, 1923, 681, 1923, 590, 1923, 570, 1923, 772, 1923, 966, 1923, 654, 1923, 2473, 1923, 962, 1923, 2098, 1923, 20231, 454, 288, 16986, 4159, 593, 799, 1793, 656, 2039, 568, 3254, 607, 519, 3845, 2059, 513, 8880, 10250, 4586, 263, 272, 264, 19837, 11692, 540, 5925, 610, 3280, 6329, 607, 789, 2170, 609, 2339, 269, 630, 273, 264, 634, 21716, 540, 1769, 6329, 1510, 8086, 610, 1201, 3555, 4586, 2304, 6293, 1031, 547, 2268, 8301, 12451, 4586, 2304, 19650, 9901, 1896, 8536, 24311, 2318, 543, 1031, 547, 17108, 454, 19491, 6425, 4724, 519, 4395, 540, 513, 30932, 11920, 8546, 4586, 288, 1425, 4722, 602, 8060, 519, 10231, 630, 3433, 540, 1689, 538, 6991, 264, 540, 513, 4452, 4586, 288, 3926, 602, 3800, 519, 10231, 547, 799, 621, 568, 16271, 543, 10953, 513, 454, 338, 793, 531, 14354, 547, 621, 4586, 2304, 791, 12053, 799, 267, 950, 3773, 547, 513, 19202, 267, 24693, 835, 6475, 689, 454, 320, 15231, 11046, 543, 5932, 513, 8559, 538, 519, 24775, 2497, 540, 519, 12627, 269, 4746, 1572, 13138, 4353, 3201, 7728, 454, 288, 1360, 1507, 8546, 609, 5702, 22274, 22809, 543, 1100, 3490, 269, 634, 8546, 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 ]

[ 10894, 1599, 543, 547, 1832, 707, 4105, 8219, 2324, 269, 634, 2504, 540, 575, 327, 516, 4802, 267, 519, 14000, 9449, 267, 568, 26793, 543, 519, 1560, 1100, 3476, 2833, 4606, 540, 14000, 563, 2026, 519, 4374, 979, 676, 267, 519, 17811, 17211, 1063, 707, 1426, 6981, 543, 10894, 1648, 3747, 5956, 547, 14816, 2476, 1560, 3170, 543, 4887, 547, 3489, 513, 4492, 2707, 269, 898, 779, 2009, 585, 1004, 2713, 609, 5410, 2581, 779, 547, 6336, 4557, 547, 8938, 6550, 540, 1560, 2597, 538, 1175, 513, 3923, 610, 1079, 269, 4495, 596, 723, 13175, 2126, 585, 5410, 2581, 779, 267, 519, 6527, 786, 11177, 519, 9449, 3666, 538, 707, 1560, 269, 13850, 516, 4802, 2504, 10607, 267, 543, 707, 14031, 20406, 7024, 269, 0, 1692, 9162, 1223, 581, 12018, 513, 1126, 779, 2104, 4876, 454, 2467, 616, 7125, 585, 11442, 6810, 693, 8637, 547, 581, 632, 3766, 25311, 538, 513, 19915, 547, 7903, 6690, 883, 13241, 11678, 563, 2005, 779, 10645, 968, 2692, 903, 543, 6690, 892, 6810, 6766, 1453, 15490, 569, 267, 543, 12936, 741, 4876, 5079, 543, 2009, 2883, 1967, 563, 10112, 1539, 622, 7905, 23718, 7647, 525, 267, 689, 519, 8028, 308, 4659, 585, 4804, 7070, 543, 11819, 4065, 267, 5143, 8751, 11875, 328, 2714, 575, 25311, 9162, 2322, 2604, 593, 3214, 563, 18658, 649, 616, 7487, 538, 938, 1382, 922, 602, 676, 5722, 1296, 540, 2085, 267, 1312, 8695, 543, 6690, 723, 1360, 32616, 673, 2093, 827, 2757, 24940, 543, 21522, 6009, 543, 519, 11678, 789, 1616, 547, 723, 2223, 1352, 1767, 563, 17606, 6238, 1360, 2038, 3034, 18208, 623, 6369, 312, 2630, 547, 5873, 1200, 2491, 454, 303, 27348, 281, 5192, 1399, 1775, 1805, 1442, 0, 8489, 568, 5682, 16049, 286, 634, 1686, 540, 5682, 16049, 5507, 269, 6176, 827, 5682, 16049, 563, 16675, 16049, 282, 568, 513, 25878, 18664, 965, 540, 5507, 269, 898, 568, 593, 519, 5045, 4871, 540, 519, 5211, 774, 1868, 543, 568, 4583, 585, 519, 5656, 540, 519, 2817, 31845, 7467, 267, 519, 9576, 25220, 5441, 543, 519, 9576, 25076, 563, 14532, 2986, 5682, 16049, 454, 1103, 476, 16318, 274, 9966, 874, 9445, 16099, 540, 3794, 537, 31569, 20583, 1018, 568, 1631, 5682, 16049, 5244, 593, 519, 15113, 728, 6772, 8504, 519, 5757, 269, 1261, 849, 3710, 593, 519, 5757, 4871, 513, 2777, 799, 519, 570, 31122, 19988, 338, 6905, 883, 513, 10424, 19289, 269, 3751, 8361, 24163, 729, 4535, 972, 269, 634, 19289, 729, 1932, 1804, 543, 2025, 1922, 5831, 539, 585, 519, 7385, 540, 3751, 6276, 594, 543, 646, 1185, 513, 1007, 2777, 693, 519, 5087, 1439, 540, 519, 6288, 2966, 585, 1200, 676, 769, 15282, 13643, 269, 901, 2777, 729, 6192, 585, 10348, 28741, 24297, 12756, 267, 7385, 540, 8176, 594, 267, 538, 476, 14321, 278, 269, 898, 568, 1572, 519, 10348, 779, 5600, 543, 538, 476, 4350, 278, 2968, 519, 2817, 31845, 7467, 267, 1141, 3631, 543, 5961, 540, 2025, 9635, 666, 581, 2938, 1927, 609, 12125, 543, 7405, 585, 12445, 563, 21914, 8176, 4083, 1185, 519, 570, 31122, 19289, 15504, 1524, 543, 3459, 513, 1007, 835, 267, 855, 1152, 835, 3625, 729, 3710, 269, 1261, 849, 9788, 856, 519, 6288, 538, 519, 3943, 2511, 543, 930, 540, 519, 1390, 5053, 9221, 18133, 4054, 2059, 519, 1292, 28627, 941, 12630, 538, 1010, 942, 2311, 519, 1439, 540, 519, 476, 1704, 628, 2540, 519, 1390, 4056, 18332, 654, 1066, 729, 5143, 547, 1118, 4566, 547, 8831, 519, 19289, 883, 513, 17189, 6413, 269, 654, 1066, 779, 4566, 585, 519, 6413, 941, 10169, 12012, 676, 2663, 16413, 855, 713, 1895, 540, 5656, 267, 6192, 538, 476, 11260, 271, 568, 1851, 519, 1034, 1533, 569, 538, 4789, 269, 898, 814, 4190, 32724, 543, 568, 4583, 585, 922, 10266, 1540, 670, 841, 267, 4171, 6821, 543, 18109, 941, 13556, 676, 11184, 6276, 774, 1941, 24824, 630, 15757, 276, 268, 15876, 275, 1040, 4595, 476, 6942, 274, 519, 6413, 814, 1044, 513, 2852, 585, 17189, 10492, 563, 763, 2616, 2218, 5656, 538, 5682, 16049, 5244, 941, 3710, 676, 654, 1066, 538, 476, 15757, 276, 269, 630, 2304, 2616, 2218, 568, 513, 1747, 1141, 19936, 4585, 519, 3141, 267, 7599, 267, 6801, 543, 10785, 282, 1294, 25076, 4700, 634, 15137, 344, 2011, 540, 5682, 16049, 543, 519, 1350, 732, 540, 519, 5507, 6607, 1500, 621, 2556, 547, 1847, 519, 2616, 2218, 547, 4173, 560, 3000, 576, 5060, 630, 306, 639, 16303, 264, 538, 476, 3707, 279, 269, 20668, 540, 519, 2025, 2616, 2218, 616, 1631, 513, 544, 2224, 340, 13799, 333, 630, 21406, 4469, 600, 560, 3975, 5600, 264, 543, 8436, 666, 1294, 519, 2462, 9219, 19904, 6029, 5682, 16049, 942, 267, 607, 1134, 607, 519, 5682, 16049, 5789, 22941, 6825, 593, 519, 2666, 267, 689, 799, 29978, 568, 6027, 269, 2311, 835, 522, 685, 22018, 1142, 1554, 513, 3109, 3440, 12772, 1524, 513, 15958, 607, 513, 942, 5365, 563, 1103, 513, 3819, 546, 1442, 22290, 5682, 16049, 623, 1512, 666, 581, 2938, 519, 968, 29493, 1399, 590, 1046, 2108, 269, 901, 22892, 6928, 267, 799, 729, 3710, 538, 476, 5908, 280, 585, 519, 3624, 7401, 4123, 267, 729, 835, 540, 519, 16595, 8043, 513, 15615, 543, 568, 6854, 607, 513, 24744, 547, 519, 2395, 540, 13743, 269, 0, 28082, 30007, 540, 476, 4572, 271, 543, 4653, 634, 2923, 568, 7683, 4657, 269, 634, 9913, 2872, 568, 7683, 9687, 267, 543, 519, 2029, 602, 9311, 625, 519, 2872, 568, 849, 3384, 1175, 607, 6385, 269, 4317, 9913, 538, 519, 476, 4572, 271, 338, 729, 513, 2101, 1445, 540, 3232, 1272, 585, 1004, 267, 6466, 2221, 9913, 6212, 811, 593, 8216, 11815, 2305, 269, 7982, 538, 519, 10162, 2130, 3828, 550, 625, 267, 4658, 4682, 856, 609, 741, 2828, 547, 581, 513, 851, 540, 519, 12316, 2528, 269, 4658, 4682, 547, 3717, 3887, 553, 625, 267, 19695, 1712, 976, 267, 543, 15690, 15731, 563, 763, 4892, 543, 519, 4639, 5433, 12219, 676, 519, 6739, 543, 19797, 7169, 1317, 789, 21787, 4004, 1143, 1131, 3262, 547, 873, 269, 634, 4838, 538, 6576, 1185, 1044, 26093, 267, 543, 621, 2921, 3723, 538, 519, 7330, 1131, 723, 1044, 27337, 881, 269, 4004, 1143, 1185, 5892, 1044, 513, 31029, 3069, 267, 855, 1631, 621, 1185, 1831, 513, 6727, 4641, 269, 2622, 2782, 594, 729, 1869, 2921, 1747, 693, 713, 942, 267, 543, 621, 729, 476, 4489, 278, 602, 3013, 19385, 14688, 9411, 519, 3864, 2782, 269, 654, 691, 830, 1728, 3122, 807, 729, 2693, 547, 2981, 883, 2022, 21351, 1728, 3122, 807, 267, 799, 621, 1705, 267, 713, 1974, 4742, 1634, 607, 519, 4414, 2480, 732, 563, 25567, 320, 538, 519, 476, 4572, 271, 338, 2394, 7073, 8648, 634, 1259, 2413, 3013, 814, 2097, 547, 581, 689, 519, 476, 4572, 271, 338, 2394, 2221, 568, 1317, 540, 519, 2242, 602, 723, 5949, 998, 519, 1296, 269, 1284, 723, 1044, 588, 4459, 523, 676, 519, 29695, 10617, 602, 723, 2322, 721, 538, 7963, 607, 1134, 607, 519, 4965, 269, 1809, 15983, 1977, 814, 2938, 922, 2671, 540, 6126, 2053, 267, 1519, 519, 942, 1310, 24918, 269, 1809, 1018, 814, 5963, 8032, 2413, 3013, 568, 519, 2029, 519, 25577, 2429, 519, 1296, 269, 1284, 723, 1044, 2016, 519, 17979, 540, 1373, 2111, 547, 946, 7658, 10746, 267, 5904, 267, 4950, 267, 3092, 563, 15709, 304, 258, 274, 2991, 2622, 2782, 594, 267, 519, 2136, 2276, 9411, 606, 5736, 1634, 607, 519, 10162, 2130, 3828, 550, 625, 269, 16024, 2103, 723, 1044, 19163, 593, 875, 2804, 2175, 543, 7835, 538, 6575, 543, 9913, 5280, 1711, 519, 10639, 540, 519, 476, 4572, 271, 779, 607, 519, 10162, 2130, 3828, 550, 625, 269, 634, 2804, 2175, 1282, 519, 476, 4572, 271, 779, 941, 1630, 4040, 1813, 547, 519, 2799, 2504, 540, 5370, 267, 6009, 267, 543, 9541, 538, 13632, 269, 634, 7835, 538, 6575, 543, 9913, 971, 607, 519, 4332, 540, 15690, 543, 519, 8445, 540, 3203, 1546, 1723, 267, 941, 849, 13654, 585, 2870, 519, 10639, 1634, 607, 519, 10162, 2130, 3828, 550, 625, 269, 634, 2804, 2175, 1282, 519, 476, 4572, 271, 779, 5280, 1711, 519, 10639, 1634, 607, 519, 10162, 2130, 3828, 550, 625, 563, 763, 10162, 2130, 3828, 550, 625, 799, 729, 519, 476, 4572, 271, 779, 729, 513, 942, 950, 519, 2197, 729, 1360, 25133, 543, 23904, 269, 968, 257, 305, 334, 2130, 3828, 550, 625, 257, 910, 513, 1630, 3563, 748, 1974, 6353, 676, 6385, 4657, 19824, 267, 2883, 4430, 525, 267, 543, 519, 3728, 10605, 540, 6639, 3356, 1848, 263, 2108, 763, 887, 2130, 1000, 550, 625, 5608, 1220, 276, 264, 1703, 729, 865, 1454, 602, 729, 2469, 593, 1282, 519, 476, 4572, 271, 779, 865, 594, 786, 1445, 593, 513, 1906, 5705, 641, 923, 269, 2290, 540, 1346, 3584, 1131, 581, 519, 9162, 602, 941, 3812, 1282, 713, 942, 269, 901, 729, 513, 1007, 5736, 540, 11442, 1818, 1141, 621, 729, 1360, 3811, 269, 4438, 713, 942, 267, 9413, 3576, 513, 2462, 1909, 538, 519, 17113, 563, 7628, 519, 476, 4572, 271, 779, 5026, 941, 513, 2101, 1106, 540, 9913, 543, 713, 942, 729, 5219, 547, 607, 519, 13642, 6520, 540, 11846, 269, 769, 1840, 547, 9913, 267, 5026, 941, 1031, 676, 1082, 3549, 547, 1118, 2724, 689, 11655, 269, 20176, 625, 267, 6752, 267, 543, 5026, 941, 1360, 9565, 593, 519, 454, 763, 1426, 568, 519, 1655, 267, 543, 519, 11655, 616, 1390, 547, 544, 17532, 609, 269, 594, 723, 1044, 1360, 26752, 538, 519, 2063, 1906, 1296, 547, 581, 693, 1082, 2834, 4005, 3756, 267, 1079, 1404, 4752, 3756, 543, 519, 1753, 2196, 3541, 2421, 1282, 519, 782, 3613, 541, 2736, 269, 594, 723, 849, 6394, 1082, 1313, 21106, 689, 5449, 631, 29262, 779, 543, 7261, 8479, 8366, 23602, 1354, 519, 3756, 269, 1703, 568, 4986, 3116, 899, 513, 2022, 572, 1783, 1404, 4752, 3014, 693, 645, 20415, 853, 18123, 269, 1703, 568, 606, 3167, 4743, 538, 519, 2011, 607, 4166, 607, 596, 1205, 856, 540, 707, 1286, 538, 519, 18736, 2603, 563, 763, 4279, 5463, 1228, 634, 562, 31106, 1000, 550, 625, 6585, 1082, 10643, 267, 609, 513, 1906, 1373, 968, 763, 10162, 2130, 3828, 550, 625, 5608, 968, 763, 27227, 6520, 892, 610, 968, 763, 28246, 16527, 6100, 674, 269, 8845, 32684, 779, 634, 4279, 30056, 6411, 607, 513, 6041, 585, 1142, 540, 891, 10643, 269, 769, 519, 562, 31106, 1000, 550, 625, 519, 9913, 729, 28292, 543, 1350, 600, 537, 9317, 268, 713, 568, 5693, 9676, 538, 634, 4279, 30056, 269, 634, 546, 9579, 1782, 11673, 540, 519, 12353, 6105, 602, 30056, 14747, 18613, 513, 1686, 1433, 779, 1378, 6609, 269, 634, 6105, 616, 3063, 341, 698, 656, 267, 519, 2575, 568, 10978, 543, 519, 15472, 568, 18512, 563, 24078, 513, 18487, 4550, 1728, 3122, 807, 1008, 12097, 676, 513, 20387, 4250, 729, 513, 4838, 602, 4957, 1287, 1977, 1259, 540, 1272, 269, 898, 729, 827, 31012, 4838, 543, 2797, 9097, 1143, 269, 1160, 22128, 540, 4568, 610, 1160, 22128, 585, 2110, 729, 519, 3656, 957, 540, 10238, 1746, 519, 5478, 3560, 543, 9042, 540, 4568, 543, 23931, 16098, 729, 1128, 21114, 609, 3731, 2305, 540, 519, 22733, 17203, 269, 6837, 5293, 519, 968, 14157, 560, 1737, 2920, 892, 593, 5239, 476, 2764, 267, 0, 15933, 1280, 715, 4381, 454, 14399, 616, 5051, 3478, 519, 5354, 540, 741, 3232, 8477, 689, 3706, 1905, 549, 947, 539, 3536, 1164, 538, 4006, 267, 6070, 543, 1098, 3170, 267, 3081, 513, 1007, 1867, 269, 769, 476, 1220, 271, 267, 1239, 593, 3232, 1426, 6981, 6059, 3706, 1905, 549, 947, 539, 3536, 27648, 476, 8618, 260, 540, 1453, 781, 1608, 7595, 4616, 269, 769, 476, 1001, 279, 267, 519, 5767, 1239, 2139, 267, 621, 1185, 24111, 547, 476, 6858, 18336, 763, 4473, 538, 3706, 1905, 549, 947, 539, 3536, 4534, 1589, 4712, 3562, 13463, 520, 610, 910, 324, 520, 3688, 610, 24494, 26265, 543, 10425, 4534, 729, 2362, 1851, 4563, 543, 11204, 1977, 6107, 982, 3043, 6107, 563, 24791, 667, 543, 2051, 28030, 9435, 454, 2690, 7164, 4128, 267, 897, 28030, 2860, 3928, 616, 8375, 538, 1004, 896, 519, 2085, 540, 476, 2004, 267, 1247, 2949, 2665, 616, 19394, 269, 589, 1007, 12502, 525, 2657, 5530, 949, 2709, 835, 2009, 2601, 281, 12824, 1336, 513, 3095, 1063, 6171, 667, 543, 21904, 540, 897, 28030, 2860, 543, 922, 840, 15479, 832, 281, 4874, 1186, 4362, 1282, 3935, 8113, 641, 625, 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 ]

[ 2839, 310, 786, 4440, 723, 513, 1434, 3018, 1932, 609, 519, 17992, 619, 476, 274, 7260, 9542, 1373, 5950, 713, 3018, 269, 594, 2731, 6999, 31733, 610, 9823, 3893, 519, 17992, 619, 6132, 775, 269, 9517, 310, 723, 3893, 930, 15813, 5830, 543, 5159, 855, 789, 2760, 723, 513, 4960, 547, 798, 1945, 3312, 269, 898, 779, 2141, 1945, 1759, 593, 513, 7260, 610, 7641, 1397, 543, 524, 2286, 538, 593, 11655, 563, 16829, 676, 1520, 328, 12653, 5913, 593, 2904, 476, 2537, 267, 476, 1001, 272, 454, 4467, 923, 267, 18753, 9089, 543, 8585, 577, 663, 1047, 11288, 13723, 476, 2918, 628, 540, 4864, 476, 1001, 276, 454, 4467, 923, 267, 18753, 9089, 543, 8585, 577, 663, 1047, 11288, 13723, 476, 866, 628, 540, 4864, 476, 1001, 276, 454, 4467, 923, 267, 18753, 9089, 543, 8585, 577, 663, 1047, 11288, 13723, 476, 1321, 628, 540, 4864, 476, 1001, 276, 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, 22383, 1299, 18753, 26358, 1315, 7087, 24447, 540, 25725, 6816, 1315, 744, 329, 756, 933, 9177, 538, 22383, 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 ]

[ 543, 547, 1831, 606, 29842, 534, 23464, 2006, 267, 513, 6917, 18755, 541, 1100, 8969, 563, 4913, 267, 930, 1164, 3491, 12803, 19473, 1235, 723, 3144, 547, 519, 10847, 540, 741, 1523, 540, 16817, 543, 1010, 2495, 269, 1924, 621, 2501, 607, 513, 9983, 547, 1224, 1010, 1913, 538, 519, 1360, 2063, 5037, 540, 519, 960, 281, 968, 2467, 568, 6264, 16725, 538, 713, 2070, 540, 1272, 267, 609, 922, 1896, 7060, 267, 2348, 1044, 8385, 3826, 1117, 676, 519, 29763, 883, 513, 1906, 3029, 610, 883, 835, 3034, 1607, 5037, 729, 835, 540, 519, 1082, 602, 646, 12012, 543, 519, 1689, 568, 7415, 269, 769, 519, 1101, 7160, 4010, 519, 1482, 1913, 616, 1031, 267, 855, 609, 1100, 2446, 540, 519, 29763, 269, 634, 1523, 729, 5189, 538, 519, 2034, 7160, 543, 621, 18423, 538, 519, 1433, 585, 519, 14230, 540, 16817, 779, 1279, 1272, 269, 0, 763, 4365, 568, 3478, 21617, 269, 9412, 15880, 6585, 12424, 607, 1279, 607, 519, 2837, 568, 1657, 16171, 269, 7490, 1118, 2386, 707, 1126, 568, 21039, 14013, 543, 814, 513, 10359, 865, 789, 666, 979, 856, 547, 12424, 593, 21617, 2395, 269, 1403, 707, 1126, 568, 8572, 547, 23407, 741, 1378, 10359, 610, 2322, 593, 741, 11058, 267, 17309, 543, 25192, 593, 741, 1378, 267, 5225, 723, 873, 2259, 609, 596, 693, 1753, 269, 11289, 596, 865, 1454, 563, 12041, 19964, 281, 1234, 2041, 27204, 1733, 597, 1578, 454, 23727, 6763, 585, 3163, 267, 5303, 267, 7177, 543, 9119, 269, 1635, 3246, 13241, 2069, 1934, 693, 9412, 15880, 267, 649, 616, 4758, 1053, 519, 4316, 547, 581, 3860, 267, 519, 4960, 547, 1451, 543, 4019, 14374, 1983, 607, 789, 12840, 609, 1866, 269, 13241, 11942, 4702, 543, 1374, 3206, 543, 2337, 1053, 4487, 2979, 543, 2257, 2035, 563, 6624, 13241, 6009, 1142, 1032, 979, 4652, 2683, 543, 972, 568, 513, 5458, 896, 10517, 19948, 540, 2021, 538, 13241, 4610, 269, 9412, 15880, 814, 513, 5692, 547, 8115, 713, 7934, 609, 938, 1053, 269, 1284, 616, 8600, 873, 585, 513, 13241, 2104, 563, 305, 1442, 15880, 5849, 602, 1142, 2875, 568, 2016, 519, 942, 547, 1224, 1142, 1554, 269, 901, 568, 1898, 538, 1931, 547, 1451, 543, 1332, 607, 513, 5467, 269, 7335, 568, 782, 1472, 721, 543, 621, 568, 938, 2816, 267, 1312, 607, 3610, 543, 607, 3237, 267, 547, 1205, 938, 1053, 270, 18244, 3238, 269, 4595, 2542, 568, 1271, 693, 1169, 1377, 267, 1018, 1732, 942, 982, 1631, 888, 2171, 723, 1082, 2081, 602, 649, 1205, 1053, 3238, 538, 519, 4928, 267, 855, 2542, 693, 1753, 568, 8449, 607, 1271, 269, 3371, 616, 930, 3860, 2081, 547, 1205, 707, 1453, 9599, 827, 2542, 693, 1753, 563, 12648, 1920, 15143, 547, 519, 5399, 269, 7316, 3116, 666, 596, 3442, 689, 6634, 540, 1863, 2835, 286, 1411, 666, 1256, 2638, 856, 2835, 585, 707, 552, 22345, 518, 269, 2991, 707, 7552, 267, 2119, 547, 1305, 11735, 942, 1142, 1554, 1141, 3025, 538, 707, 1920, 18795, 1524, 547, 1224, 269, 476, 1428, 268, 736, 3764, 568, 782, 596, 991, 563, 8340, 7270, 602, 1719, 707, 1126, 269, 7335, 593, 519, 2780, 568, 513, 1390, 1259, 547, 1205, 26997, 3988, 547, 1224, 269, 1358, 1175, 1810, 1406, 8275, 602, 789, 616, 2542, 267, 789, 1175, 1589, 789, 616, 2348, 1187, 593, 519, 2780, 563, 8855, 267, 2542, 568, 10876, 269, 6787, 621, 568, 513, 10624, 693, 513, 13962, 267, 610, 519, 23611, 4216, 693, 519, 14254, 3349, 267, 2542, 568, 513, 1590, 269, 5269, 2386, 707, 1126, 568, 2016, 519, 942, 547, 798, 621, 1169, 1554, 2336, 2026, 649, 6318, 3214, 538, 713, 3059, 2085, 267, 621, 4667, 607, 1498, 25654, 666, 2887, 676, 519, 2081, 728, 269, 3371, 568, 513, 5363, 1592, 602, 666, 948, 4196, 607, 513, 12576, 540, 1018, 25654, 1522, 581, 1034, 1271, 607, 1453, 1332, 909, 563, 268, 17166, 968, 8923, 892, 950, 6998, 454, 268, 17166, 968, 14188, 596, 892, 950, 8391, 454, 268, 17166, 968, 2750, 322, 2224, 803, 892, 1310, 536, 18804, 883, 2576, 454, 268, 10925, 1524, 707, 11418, 950, 2576, 13788, 519, 4055, 454, 268, 6733, 1004, 538, 519, 3750, 950, 6340, 454, 268, 2913, 1866, 9096, 1354, 596, 3717, 454, 268, 1744, 820, 3946, 16119, 454, 268, 17166, 968, 8133, 8575, 685, 600, 543, 8786, 11184, 892, 950, 6158, 547, 6738, 5725, 454, 268, 13983, 564, 1004, 609, 968, 17098, 892, 543, 968, 1692, 616, 596, 18313, 268, 7046, 1684, 832, 585, 1866, 454, 265, 5649, 21557, 2984, 563, 265, 5970, 707, 1126, 1224, 519, 17365, 1592, 607, 596, 6300, 563, 265, 2237, 1524, 513, 11600, 585, 707, 1126, 779, 5172, 1426, 563, 265, 7476, 9599, 547, 3643, 519, 5399, 563, 265, 25440, 513, 4604, 3014, 543, 723, 707, 1126, 1224, 519, 6486, 563, 265, 10673, 1406, 4734, 1753, 1510, 621, 256, 11408, 723, 2542, 2326, 2139, 547, 1224, 538, 519, 1286, 610, 693, 20499, 563, 265, 5629, 568, 711, 2614, 269, 1234, 22345, 5172, 2984, 547, 948, 1628, 21711, 267, 3432, 543, 6111, 563, 265, 14707, 1546, 4177, 256, 9105, 707, 1126, 2055, 827, 1018, 789, 1175, 1224, 563, 265, 6826, 3461, 267, 2953, 9900, 543, 17192, 609, 15131, 454, 763, 14812, 616, 513, 1390, 942, 547, 4001, 1453, 8296, 543, 6568, 585, 1866, 269, 898, 568, 2653, 585, 1453, 547, 581, 9599, 547, 4309, 13344, 267, 855, 875, 798, 649, 1020, 519, 1482, 15131, 585, 4758, 286, 3371, 616, 930, 1806, 540, 875, 596, 666, 4125, 707, 1126, 538, 519, 7772, 540, 4758, 563, 268, 2913, 707, 1126, 6300, 585, 513, 1906, 13344, 585, 1866, 1210, 741, 1378, 2724, 563, 268, 1684, 513, 9702, 4739, 610, 27106, 12897, 547, 2285, 547, 12543, 610, 2828, 563, 268, 2913, 707, 1126, 16833, 513, 1906, 13344, 2933, 563, 268, 5620, 707, 1126, 1118, 6486, 585, 1866, 563, 268, 12315, 707, 1126, 519, 4316, 547, 1459, 519, 10516, 547, 2576, 865, 789, 666, 1294, 519, 7772, 621, 6770, 563, 268, 21816, 17621, 538, 513, 2199, 17339, 10051, 610, 7119, 538, 1677, 903, 585, 570, 1824, 563, 305, 1442, 15880, 13976, 538, 942, 585, 1053, 547, 1224, 693, 1153, 1142, 1554, 267, 855, 1382, 2982, 602, 713, 949, 711, 581, 2614, 269, 4841, 945, 1224, 693, 1753, 538, 1840, 547, 2542, 693, 1153, 4043, 547, 723, 2362, 1449, 8464, 269, 3371, 616, 930, 2081, 547, 6451, 2542, 693, 1753, 2336, 265, 5649, 519, 23611, 4216, 1142, 6640, 454, 265, 8340, 513, 2542, 3896, 610, 813, 602, 707, 1126, 21593, 454, 265, 16100, 909, 1344, 827, 513, 5172, 1641, 593, 519, 2780, 454, 265, 12648, 2834, 15143, 547, 519, 5399, 454, 265, 9359, 513, 1433, 8630, 609, 2828, 454, 265, 26329, 2542, 676, 2542, 538, 4395, 540, 543, 547, 707, 1453, 454, 10674, 2517, 335, 2125, 330, 1749, 3820, 270, 1107, 1607, 568, 513, 1390, 3135, 585, 3214, 540, 782, 6502, 10023, 782, 540, 707, 3214, 5172, 3197, 689, 32282, 2336, 10674, 2517, 4178, 269, 9071, 322, 9248, 2593, 270, 910, 8722, 520, 1005, 7734, 267, 11242, 267, 10632, 543, 811, 782, 4478, 707, 5172, 16992, 689, 15932, 5600, 7734, 256, 901, 568, 513, 1390, 1259, 547, 1118, 2835, 2097, 9800, 585, 2370, 3283, 2336, 4178, 14714, 541, 6420, 2593, 910, 1607, 568, 513, 1390, 3896, 585, 1565, 547, 1224, 269, 10060, 6420, 3217, 707, 3214, 782, 519, 1259, 689, 13235, 779, 547, 4804, 547, 3367, 256, 1703, 616, 930, 1187, 3756, 543, 811, 602, 3295, 1912, 9582, 267, 16319, 543, 8380, 4992, 1927, 538, 1913, 256, 901, 568, 1390, 585, 23021, 1565, 547, 1224, 2336, 4178, 4732, 3273, 2880, 2593, 31574, 1749, 270, 9248, 270, 1492, 2173, 20723, 17469, 1532, 639, 270, 910, 2467, 616, 9748, 540, 4279, 27678, 543, 10632, 827, 519, 5113, 1299, 3163, 269, 901, 568, 513, 1390, 3896, 585, 4587, 1453, 945, 1616, 547, 1451, 827, 4365, 267, 11585, 543, 811, 563, 4178, 269, 14683, 7547, 330, 1749, 2593, 910, 1607, 3135, 814, 3756, 267, 2835, 267, 13492, 543, 540, 1576, 26726, 24436, 563, 10674, 2517, 4178, 269, 629, 1097, 320, 2593, 270, 910, 1607, 568, 1776, 1390, 1565, 3135, 585, 3214, 269, 1703, 568, 3388, 689, 25478, 10632, 267, 547, 8641, 532, 267, 18963, 543, 811, 269, 4279, 585, 1565, 2038, 2979, 1983, 563, 4178, 14389, 1749, 8542, 1049, 613, 4919, 2593, 901, 568, 513, 1390, 3135, 585, 3695, 938, 1158, 543, 1565, 782, 596, 666, 827, 519, 7909, 267, 12292, 267, 17323, 543, 811, 256, 1703, 568, 513, 570, 2177, 540, 1344, 593, 713, 3135, 543, 849, 930, 1390, 7044, 267, 10658, 26072, 543, 17118, 2336, 268, 589, 8611, 540, 476, 1911, 269, 271, 610, 3152, 454, 268, 10374, 1145, 540, 7362, 610, 7411, 7244, 454, 268, 15901, 730, 24373, 609, 669, 1571, 454, 268, 590, 648, 11563, 454, 268, 26298, 10266, 454, 268, 1715, 2530, 540, 6492, 610, 9329, 454, 268, 5556, 3878, 24250, 22324, 715, 846, 454, 8923, 946, 713, 2228, 1582, 19295, 14982, 547, 948, 609, 5046, 268, 866, 30587, 281, 4179, 2517, 322, 10604, 866, 8234, 15318, 6983, 26501, 10993, 13045, 8512, 540, 8600, 1053, 585, 1565, 568, 547, 948, 4001, 873, 547, 723, 513, 2208, 14820, 269, 901, 1797, 3450, 873, 547, 5431, 602, 972, 616, 1978, 1919, 789, 616, 711, 2111, 547, 798, 962, 4953, 269, 1677, 798, 713, 596, 666, 948, 707, 1126, 1589, 1394, 547, 1919, 789, 2899, 7948, 1406, 798, 899, 14964, 513, 11332, 267, 4189, 593, 741, 1378, 610, 3478, 21039, 269, 29955, 873, 547, 723, 5132, 602, 952, 789, 2119, 741, 1655, 543, 3314, 602, 1175, 1317, 789, 666, 1406, 798, 1945, 2943, 267, 3085, 1406, 1611, 789, 4465, 1406, 2479, 581, 2111, 547, 269, 901, 14820, 2337, 1053, 1935, 1565, 609, 606, 1930, 2247, 269, 0, 309, 597, 6265, 807, 12565, 568, 1454, 4130, 267, 609, 4544, 3766, 2001, 1750, 4060, 269, 769, 519, 476, 1001, 279, 4005, 267, 519, 12389, 11076, 1185, 519, 6574, 7607, 540, 986, 2812, 26870, 538, 24811, 543, 5950, 883, 519, 3552, 269, 676, 14264, 773, 897, 11252, 267, 27095, 5324, 476, 276, 267, 476, 1001, 276, 538, 14828, 1299, 17758, 589, 1769, 20356, 539, 681, 573, 326, 3118, 779, 7841, 568, 6512, 539, 1354, 5305, 883, 15506, 19891, 657, 20698, 3019, 26954, 15944, 269, 2776, 16227, 1634, 607, 519, 804, 1952, 518, 7841, 267, 519, 2249, 2012, 729, 4957, 538, 476, 1001, 275, 547, 8956, 15022, 603, 6048, 7917, 681, 573, 326, 3118, 269, 1809, 1100, 3476, 269, 7797, 547, 4993, 4972, 540, 12551, 543, 10794, 269, 634, 772, 2529, 269, 674, 16703, 781, 21784, 2989, 1299, 29510, 15661, 3590, 3950, 1344, 827, 7396, 2249, 538, 519, 2136, 2276, 898, 3096, 922, 23773, 3915, 547, 16785, 883, 544, 28854, 19126, 585, 23787, 24260, 10352, 269, 9521, 519, 1849, 1952, 518, 12565, 267, 621, 849, 2729, 538, 15195, 23047, 1127, 267, 2059, 519, 2539, 12548, 5211, 543, 922, 29815, 2456, 269, 1358, 616, 1631, 9286, 607, 681, 573, 326, 3118, 779, 681, 5661, 269, 901, 814, 1044, 519, 1101, 4005, 2094, 476, 1001, 275, 602, 519, 12389, 11076, 814, 1185, 1079, 1761, 9960, 8424, 269, 3487, 6511, 2231, 5918, 772, 2529, 269, 2334, 568, 1946, 519, 700, 758, 306, 895, 1232, 18344, 568, 519, 1318, 3903, 269, 18599, 13155, 1769, 20356, 539, 681, 573, 326, 3118, 779, 986, 2812, 941, 5950, 538, 547, 519, 570, 6359, 340, 3570, 6215, 965, 2817, 13812, 25083, 593, 13638, 5239, 476, 272, 267, 476, 1001, 280, 607, 851, 2560, 13809, 543, 12159, 540, 7226, 21279, 519, 4797, 6228, 540, 713, 6177, 267, 4352, 2487, 2359, 3646, 616, 10941, 532, 1346, 3466, 538, 519, 3552, 269, 16890, 689, 772, 2529, 269, 769, 5385, 267, 596, 949, 21237, 1294, 476, 1789, 29364, 22099, 269, 681, 573, 326, 3118, 781, 12565, 568, 513, 3946, 727, 12457, 7146, 268, 6412, 344, 6177, 602, 2729, 1034, 540, 922, 1272, 10703, 4705, 538, 10053, 10664, 269, 8752, 20356, 539, 1849, 1952, 518, 681, 5661, 1831, 681, 573, 326, 3118, 779, 681, 5661, 269, 476, 1001, 275, 269, 3143, 2147, 1804, 986, 2812, 538, 922, 2039, 269, 22105, 281, 8752, 6363, 2393, 539, 681, 573, 326, 3118, 779, 12565, 10163, 648, 7111, 22911, 4133, 543, 1234, 915, 10374, 31645, 674, 1460, 525, 269, 901, 568, 519, 9803, 1293, 7381, 1221, 2094, 476, 1220, 280, 543, 5205, 513, 2196, 540, 3670, 15654, 1296, 538, 519, 8752, 20356, 539, 681, 573, 326, 3118, 779 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2040, 2719, 24582, 543, 519, 1970, 1780, 6882, 729, 513, 9168, 4528, 540, 835, 454, 326, 1508, 538, 519, 4967, 269, 1284, 1175, 22107, 10757, 519, 1699, 19141, 543, 1500, 519, 454, 10520, 626, 832, 9962, 547, 1489, 2362, 1699, 2095, 563, 347, 9928, 11490, 540, 5681, 2719, 2549, 680, 8595, 454, 1475, 299, 599, 719, 540, 5681, 2719, 454, 763, 2040, 2719, 7586, 11717, 454, 933, 1031, 729, 849, 2147, 547, 835, 2016, 538, 519, 1362, 4967, 269, 3962, 5951, 3403, 786, 454, 17647, 922, 1378, 4908, 543, 17931, 267, 865, 649, 991, 547, 1039, 519, 1367, 454, 600, 680, 6421, 693, 741, 7222, 4908, 3928, 269, 1703, 616, 1079, 1780, 19235, 829, 454, 339, 821, 267, 13234, 693, 519, 3977, 9219, 4908, 540, 1142, 8756, 267, 799, 6430, 519, 454, 6358, 547, 519, 2040, 2719, 24582, 269, 1403, 519, 9219, 568, 1164, 593, 513, 1880, 8756, 2676, 1492, 3617, 6453, 630, 326, 1508, 676, 519, 3159, 781, 9588, 267, 6740, 538, 1142, 8756, 994, 529, 4294, 547, 519, 3403, 269, 1403, 519, 9219, 568, 1970, 267, 1287, 717, 526, 568, 3177, 547, 519, 3403, 563, 16729, 519, 1780, 326, 919, 568, 513, 1305, 540, 2185, 19218, 834, 3316, 802, 2437, 835, 585, 1142, 454, 577, 14128, 267, 799, 4558, 519, 5279, 19017, 936, 513, 9219, 13942, 269, 2201, 519, 3977, 2676, 8408, 23799, 9084, 4386, 267, 865, 602, 782, 519, 6453, 2919, 936, 1142, 7936, 454, 15884, 3666, 2066, 782, 2185, 7936, 338, 543, 6556, 835, 8772, 540, 519, 2698, 5279, 454, 8999, 269, 901, 6453, 1287, 13462, 547, 519, 2942, 12363, 540, 519, 1985, 851, 540, 454, 8999, 2719, 24582, 267, 519, 1098, 17238, 766, 24582, 630, 320, 834, 338, 1619, 24582, 257, 1916, 19152, 883, 519, 1098, 17238, 766, 24582, 568, 519, 3328, 5279, 454, 8999, 332, 566, 693, 519, 2942, 12363, 267, 543, 519, 4704, 6453, 966, 10915, 693, 519, 454, 27168, 12363, 269, 966, 10915, 568, 519, 6453, 936, 799, 519, 3977, 5951, 845, 786, 581, 454, 1417, 1229, 269, 1280, 13156, 5301, 649, 8359, 966, 10915, 815, 476, 273, 269, 276, 309, 865, 519, 3977, 5951, 1131, 581, 454, 1417, 1229, 936, 513, 2039, 540, 827, 476, 271, 547, 476, 276, 269, 271, 309, 563, 763, 5955, 540, 519, 1098, 563, 2086, 269, 568, 513, 19218, 538, 6252, 609, 513, 19919, 269, 1763, 626, 832, 616, 711, 528, 13124, 454, 18528, 2159, 547, 2936, 538, 18328, 5308, 543, 2226, 513, 5276, 4483, 8984, 454, 531, 784, 609, 711, 2921, 909, 1932, 1454, 2230, 269, 634, 3070, 454, 13195, 547, 946, 606, 28679, 5308, 543, 6751, 5308, 24923, 538, 3126, 269, 634, 19235, 540, 454, 28205, 616, 7923, 547, 20382, 543, 723, 9186, 28696, 540, 966, 10915, 7132, 26553, 639, 476, 271, 269, 276, 309, 454, 27920, 1947, 269, 634, 19919, 1590, 581, 972, 547, 1450, 606, 4890, 9823, 6453, 1689, 693, 454, 309, 719, 269, 634, 19218, 1152, 10596, 519, 8028, 6712, 540, 519, 5951, 267, 865, 1510, 1312, 540, 454, 28205, 3334, 519, 14805, 566, 1223, 711, 2049, 563, 1103, 2489, 713, 5547, 454, 4754, 581, 2938, 607, 606, 12679, 1154, 24582, 609, 2744, 595, 325, 630, 1721, 519, 5955, 19218, 994, 323, 22866, 676, 476, 275, 290, 328, 630, 3225, 20884, 31887, 540, 2185, 29522, 538, 6252, 693, 519, 454, 6358, 1040, 634, 3977, 538, 938, 2013, 568, 519, 2040, 540, 519, 3403, 3159, 7586, 6421, 2053, 519, 454, 326, 664, 3773, 547, 513, 4704, 6453, 269, 634, 3977, 540, 713, 568, 1287, 4294, 547, 519, 1970, 454, 9928, 11490, 540, 476, 273, 526, 1931, 1970, 1780, 454, 1475, 299, 599, 719, 540, 476, 273, 526, 1931, 1970, 1780, 454, 32056, 10474, 540, 18734, 9577, 454, 2414, 1118, 713, 513, 19643, 10290, 1970, 1780, 454, 16344, 614, 267, 519, 1101, 3364, 649, 1705, 729, 2328, 1524, 519, 4483, 1599, 540, 454, 10472, 28176, 269, 901, 568, 6508, 1210, 519, 2241, 3652, 2404, 609, 454, 6016, 1049, 7586, 13294, 5941, 538, 938, 4967, 543, 538, 1362, 563, 3698, 6873, 540, 513, 7423, 10290, 6882, 6257, 519, 4483, 1599, 540, 519, 454, 16344, 614, 607, 2348, 1079, 18635, 609, 2942, 1483, 2694, 269, 1358, 616, 1950, 543, 454, 732, 4092, 693, 910, 13670, 334, 543, 1341, 13670, 334, 538, 519, 1950, 7077, 563, 3383, 547, 2057, 14251, 566, 543, 723, 513, 1483, 7423, 10290, 6882, 649, 1185, 547, 3514, 454, 712, 3830, 547, 713, 23061, 563, 763, 1985, 1900, 729, 8159, 519, 454, 10520, 17238, 766, 2418, 630, 326, 543, 1627, 264, 585, 1142, 2759, 4752, 4908, 630, 325, 322, 1916, 4322, 2418, 941, 5833, 676, 1210, 519, 4834, 454, 32056, 10474, 540, 575, 547, 1627, 454, 8794, 519, 910, 13670, 334, 454, 663, 1341, 13670, 334, 15393, 4087, 4214, 540, 513, 19643, 10290, 6882, 267, 649, 454, 338, 9407, 513, 2489, 2034, 1931, 4483, 1599, 538, 2474, 540, 521, 543, 922, 454, 935, 24503, 622, 269, 1284, 1287, 1305, 713, 1871, 3160, 547, 519, 1267, 5833, 689, 519, 454, 1457, 10474, 540, 519, 4483, 1599, 540, 938, 28176, 543, 5462, 875, 454, 1492, 575, 543, 1627, 941, 1644, 563, 2171, 5462, 602, 1627, 568, 1644, 547, 575, 454, 2421, 513, 3815, 540, 1079, 14263, 519, 4009, 3597, 540, 1079, 563, 263, 274, 264, 575, 815, 546, 296, 14370, 341, 273, 8686, 272, 994, 935, 329, 4233, 609, 519, 1098, 17238, 766, 24582, 8984, 13602, 540, 594, 719, 5288, 454, 17635, 273, 8686, 272, 1070, 543, 594, 719, 607, 1599, 540, 966, 321, 5362, 563, 347, 2080, 649, 28367, 594, 719, 607, 513, 1599, 540, 642, 273, 269, 1284, 4682, 454, 12671, 713, 4729, 676, 21338, 642, 272, 693, 476, 273, 309, 543, 1287, 27789, 454, 341, 273, 269, 3245, 713, 3113, 649, 7747, 519, 9386, 269, 634, 9386, 14687, 454, 1729, 938, 1098, 17238, 766, 1871, 269, 1548, 649, 2832, 585, 1934, 568, 513, 1804, 2039, 936, 454, 6518, 519, 9386, 630, 10520, 17238, 766, 1871, 264, 568, 3586, 269, 3776, 11378, 786, 454, 323, 2570, 593, 938, 3159, 7586, 6421, 267, 2418, 936, 799, 649, 723, 2370, 1852, 563, 11997, 547, 581, 2922, 649, 5129, 609, 2418, 2394, 649, 6603, 513, 6899, 454, 271, 269, 272, 309, 11539, 2039, 269, 26023, 713, 1797, 602, 607, 1279, 607, 519, 3017, 454, 24992, 938, 11378, 630, 1729, 1098, 18041, 264, 9114, 1369, 519, 476, 271, 269, 272, 309, 2039, 267, 519, 1970, 10139, 454, 16344, 614, 786, 960, 7157, 269, 11406, 16085, 6295, 585, 546, 296, 454, 763, 966, 321, 5362, 12193, 585, 538, 519, 454, 18431, 1900, 786, 581, 519, 575, 2418, 649, 1616, 585, 1142, 540, 519, 9757, 2759, 4752, 454, 325, 7528, 4293, 538, 519, 1970, 1780, 6882, 269, 1284, 1287, 4194, 585, 1627, 1210, 519, 2078, 454, 11398, 4505, 269, 2353, 891, 2418, 616, 4092, 538, 519, 8930, 719, 3349, 563, 347, 8794, 713, 546, 309, 543, 519, 2078, 575, 284, 323, 296, 7933, 309, 267, 649, 1287, 4194, 454, 1721, 594, 269, 3767, 782, 649, 798, 568, 1265, 519, 966, 321, 5362, 7222, 547, 594, 269, 901, 454, 529, 6913, 676, 11287, 519, 594, 719, 5288, 269, 966, 321, 5362, 454, 30447, 1222, 540, 938, 1098, 17238, 766, 269, 1284, 10250, 938, 24441, 594, 547, 519, 454, 7120, 1540, 7455, 269, 3776, 7222, 966, 321, 5362, 568, 519, 835, 649, 1616, 563, 16085, 6295, 585, 966, 321, 5362, 454, 763, 3059, 543, 12746, 2694, 540, 519, 13863, 941, 7318, 454, 572, 704, 2299, 547, 26924, 1697, 10512, 2623, 267, 1287, 7923, 1927, 593, 519, 454, 577, 760, 269, 1677, 2061, 13311, 5106, 540, 519, 12746, 3334, 267, 649, 8359, 547, 946, 454, 18314, 6453, 2959, 269, 589, 3059, 2707, 799, 1131, 20496, 513, 1978, 2179, 540, 454, 321, 8784, 543, 530, 24513, 548, 267, 543, 513, 1412, 30236, 262, 12746, 2707, 609, 513, 8799, 11931, 1871, 269, 634, 454, 3033, 338, 941, 6074, 547, 581, 519, 1482, 267, 855, 1152, 1310, 4478, 782, 519, 3059, 454, 30672, 609, 513, 13557, 543, 4496, 4276, 547, 2666, 269, 901, 1058, 2061, 519, 2666, 454, 321, 8784, 8984, 540, 6385, 15175, 3059, 3334, 689, 23494, 454, 320, 977, 532, 519, 12746, 2694, 540, 938, 13863, 563, 347, 280, 3953, 13703, 6383, 3159, 454, 763, 3105, 11708, 1397, 454, 18314, 540, 519, 2009, 12451, 6383, 676, 519, 3059, 851, 540, 519, 13863, 269, 1452, 454, 732, 1079, 540, 519, 5207, 12451, 519, 13863, 786, 5352, 267, 543, 607, 971, 723, 519, 454, 327, 580, 4554, 2009, 5470, 543, 1491, 519, 2547, 2179, 540, 942, 547, 18082, 269, 1306, 621, 729, 2676, 26421, 540, 891, 1079, 13602, 3576, 827, 476, 1839, 3764, 547, 18082, 269, 1284, 8263, 602, 2094, 454, 28205, 1079, 12451, 3977, 7157, 543, 519, 7954, 9013, 519, 9219, 3403, 454, 4103, 7157, 267, 519, 824, 12451, 786, 5352, 7157, 607, 1134, 563, 1607, 568, 519, 4483, 8984, 540, 454, 1492, 7423, 10290, 1970, 1780, 6882, 585, 476, 4335, 13703, 269, 898, 814, 513, 8445, 693, 476, 4335, 13703, 543, 513, 9425, 454, 3333, 17369, 7771, 909, 547, 827, 476, 1220, 271, 13703, 563, 29002, 909, 1079, 454, 325, 7528, 4293, 267, 476, 279, 3199, 13703, 543, 476, 31275, 13703, 267, 649, 1205, 519, 1657, 5951, 845, 269, 2201, 519, 2451, 568, 519, 454, 262, 728, 531, 262, 5951, 845, 1178, 335, 1117, 609, 4223, 18350, 267, 543, 593, 519, 1318, 568, 519, 5951, 845, 602, 938, 454, 577, 760, 7472, 269, 1306, 666, 3362, 581, 2938, 519, 2164, 616, 1360, 2147, 563, 1607, 568, 519, 2040, 540, 454, 22764, 12451, 267, 476, 279, 3199, 13703, 267, 476, 280, 3953, 13703, 543, 476, 31275, 13703, 269, 4746, 267, 519, 476, 280, 3953, 13703, 5951, 568, 3368, 519, 454, 332, 1725, 3363, 540, 519, 824, 1079, 267, 607, 2016, 609, 938, 6388, 282, 1775, 4318, 1421, 519, 476, 280, 3953, 13703, 454, 24859, 3096, 966, 272, 607, 922, 9588, 6453, 543, 519, 824, 1079, 946, 966, 273, 607, 741, 454, 332, 1725, 3363, 6453, 269, 901, 3977, 3085, 1405, 3833, 1246, 519, 835, 689, 4223, 18350, 607, 454, 29148, 569, 607, 519, 3105, 835, 267, 2523, 2282, 519, 1647, 269, 3683, 513, 3677, 1974, 540, 454, 5503, 267, 519, 5951, 845, 1281, 1413, 811, 2147, 547, 519, 1412, 728, 531, 262, 5951, 845, 269, 1703, 568, 849, 454, 320, 18476, 5123, 6521, 593, 519, 6786, 689, 519, 13863, 799, 3123, 930, 540, 519, 454, 4134, 920, 32735, 269, 1717, 267, 5123, 13346, 513, 3159, 3085, 1405, 1860, 519, 2949, 3280, 547, 454, 320, 1480, 1274, 865, 713, 3977, 568, 11807, 563, 19869, 31608, 267, 570, 269, 23968, 599, 267, 834, 24523, 2480, 2297, 910, 22039, 2676, 24687, 267, 4239, 2314, 267, 10371, 1421, 257, 5291, 2517, 1399, 8403, 8807, 872, 344, 3641, 2593, 270, 275, 2675, 2297, 21867, 454, 654, 8636, 2006, 267, 645, 269, 589, 269, 3248, 15900, 267, 590, 13034, 5919, 11619, 619, 577, 18283, 267, 667, 14371, 1421, 834, 288, 10434, 2264, 5564, 32050, 7913, 22039, 454, 306, 9321, 1127, 6500, 2580, 20959, 3690, 13905, 593, 3600, 24065, 923, 267, 16594, 267, 543, 28686, 14409, 2676, 14157, 269, 6789, 9915, 268, 2767, 267, 3143, 269, 476, 277, 267, 5412, 476, 3192, 280, 269, 533, 7714, 476, 3199, 275, 268, 3199, 280, 563, 295, 24513, 1231, 267, 17555, 5336, 541, 773, 267, 834, 293, 537, 8175, 31349, 257, 5291, 2517, 4178, 17085, 889, 328, 269, 773, 270, 600, 327, 24513, 1231, 11721, 537, 8175, 272, 11258, 0, 763, 2887, 3562, 2914, 5793, 12450, 9440, 2504, 1062, 538, 519, 4571, 268, 4263, 23007, 5032, 3148, 10905, 519, 1007, 4066, 585, 8708, 1242, 21543, 630, 680, 1872, 264, 2030, 2504, 609, 519, 6870, 2528, 1062, 630, 307, 8898, 320, 267, 476, 1960, 280, 1040, 10374, 6377, 12450, 9440, 28212, 971, 607, 25844, 710, 630, 2419, 663, 2401, 1696, 620, 1421, 476, 1220, 275, 1070, 25941, 2401, 630, 309, 1054, 543, 20780, 327, 32231, 267, 476, 2735, 275, 1070, 543, 21690, 24898, 630, 2419, 663, 2401, 1696, 620, 1421, 476, 1960, 278, 264, 723, 1044, 13251, 547, 8768, 538, 519, 2887, 1510, 20392, 1098, 17852, 547, 3579, 5210, 610, 2110, 6377, 2175, 630, 307, 8898, 320, 543, 1715, 749, 267, 476, 1220, 277, 320, 267, 476, 1220, 277, 321, 1040, 9737, 476, 10463, 260, 543, 476, 1911, 260, 540, 2048, 290, 1301, 710, 685, 1098, 17852, 602, 941, 9070, 730 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 540, 7665, 6202, 779, 4834, 585, 1100, 942, 8390, 269, 769, 1448, 1106, 267, 891, 616, 281, 12821, 1380, 685, 4521, 585, 519, 3167, 2361, 20271, 894, 3959, 540, 519, 11979, 3167, 2361, 2549, 335, 699, 779, 8562, 340, 1388, 4521, 12821, 1380, 685, 4521, 585, 519, 25080, 12197, 1141, 267, 538, 1863, 2230, 281, 31056, 2242, 538, 519, 1657, 2185, 4834, 786, 2049, 950, 519, 4610, 616, 4847, 547, 4268, 609, 942, 267, 607, 649, 3580, 1294, 2663, 780, 16655, 6202, 779, 12307, 538, 14066, 17361, 4813, 454, 763, 27754, 11532, 543, 853, 10280, 685, 11532, 666, 581, 4294, 547, 519, 3105, 2185, 1448, 1106, 4834, 547, 6556, 519, 7533, 1106, 540, 7665, 6202, 779, 4834, 585, 11979, 4610, 281, 12821, 1380, 685, 4521, 585, 519, 3167, 2361, 20271, 894, 3959, 540, 519, 11979, 3167, 2361, 2549, 335, 699, 779, 8562, 340, 1388, 4521, 12821, 1380, 685, 4521, 585, 519, 6419, 2361, 692, 7078, 281, 25080, 12071, 343, 10738, 513, 3213, 32681, 7412, 454, 323, 645, 6333, 513, 3259, 546, 540, 1071, 1314, 267, 607, 3254, 1934, 269, 634, 6419, 2361, 4222, 1063, 26423, 568, 281, 543, 865, 281, 634, 6419, 13441, 568, 1631, 519, 7533, 540, 645, 936, 519, 6366, 2627, 1063, 2234, 4512, 513, 543, 536, 267, 543, 540, 3259, 546, 2059, 1990, 281, 634, 1267, 568, 281, 634, 1071, 1314, 1899, 3976, 968, 560, 2803, 892, 713, 2179, 540, 6419, 13441, 538, 519, 3148, 1063, 26423, 269, 901, 786, 723, 2956, 950, 649, 1865, 32366, 766, 538, 513, 2663, 11000, 780, 306, 5632, 541, 25080, 15783, 454, 2171, 616, 2907, 5432, 609, 519, 6935, 1063, 519, 22185, 3167, 1761, 543, 3167, 2361, 281, 1924, 621, 568, 15673, 532, 547, 5581, 513, 22185, 6419, 1761, 971, 602, 281, 901, 4341, 1590, 581, 5812, 609, 7665, 6202, 779, 4834, 267, 865, 4061, 281, 1809, 519, 1225, 331, 540, 519, 13506, 540, 1022, 1599, 568, 1541, 1227, 4642, 256, 4475, 267, 519, 22185, 6419, 1761, 568, 4570, 1152, 538, 4525, 1141, 519, 1699, 5860, 568, 4642, 630, 7945, 607, 538, 1863, 2230, 1040, 1924, 649, 5581, 22185, 6419, 1761, 609, 513, 2783, 1384, 10702, 21976, 593, 519, 2480, 531, 541, 25080, 15783, 454, 763, 824, 7665, 6202, 3830, 5473, 6419, 2361, 1590, 849, 581, 13854, 269, 901, 568, 281, 538, 1863, 2230, 4475, 281, 10371, 663, 865, 519, 22185, 6419, 1761, 25389, 5487, 2897, 779, 3830, 630, 28785, 609, 519, 19231, 602, 1699, 5860, 1590, 581, 4642, 1384, 7078, 281, 3213, 32681, 28298, 7412, 454, 4415, 519, 4099, 18364, 1699, 13576, 856, 540, 519, 5496, 267, 649, 723, 4935, 281, 1924, 649, 4194, 281, 10371, 543, 3489, 281, 1141, 519, 5610, 3586, 814, 1044, 1305, 547, 4642, 692, 288, 3387, 580, 340, 885, 538, 519, 2480, 531, 541, 15783, 454, 763, 22185, 1761, 568, 1631, 281, 1141, 519, 1761, 568, 4642, 693, 2311, 1448, 623, 630, 3738, 519, 1761, 568, 1809, 7227, 256, 1306, 4679, 547, 649, 723, 8120, 547, 519, 1482, 2168, 4087, 267, 543, 519, 1761, 814, 513, 1007, 1871, 540, 910, 296, 269, 769, 2489, 267, 519, 1761, 693, 623, 786, 581, 1617, 2526, 4240, 267, 543, 786, 10536, 513, 1007, 1871, 1310, 1142, 2407, 10047, 538, 519, 27976, 7077, 1384, 7021, 5765, 519, 2549, 15927, 8462, 454, 21574, 8175, 693, 1677, 4894, 519, 13509, 267, 649, 4020, 513, 6310, 11064, 693, 1022, 1871, 540, 943, 328, 269, 634, 5086, 6389, 3112, 3444, 713, 11064, 538, 2901, 4287, 267, 543, 865, 519, 1761, 1599, 568, 11658, 547, 7285, 593, 2901, 2427, 269, 769, 519, 1459, 2013, 649, 3442, 519, 11064, 547, 9114, 693, 865, 602, 634, 1761, 693, 1448, 623, 568, 1631, 2582, 29705, 4240, 1384, 309, 10725, 25080, 15783, 454, 2171, 1118, 946, 540, 519, 7665, 6202, 3830, 281, 10371, 543, 519, 1249, 602, 519, 27754, 540, 519, 1225, 331, 540, 1022, 6152, 2361, 568, 1541, 1227, 4642, 630, 19651, 713, 14386, 901, 5012, 547, 519, 4214, 540, 519, 6419, 6152, 1761, 267, 589, 281, 4935, 281, 543, 2549, 335, 699, 779, 4521, 3587, 692, 13420, 566, 585, 519, 21070, 15783, 454, 2171, 1376, 609, 281, 3973, 267, 6338, 513, 6152, 3961, 602, 11225, 519, 6152, 5487, 680, 659, 1014, 281, 4635, 513, 630, 26319, 344, 264, 5650, 630, 5408, 27116, 269, 476, 278, 269, 278, 264, 621, 666, 581, 8810, 602, 476, 464, 2171, 616, 4061, 2451, 609, 692, 763, 667, 3925, 540, 589, 1284, 1631, 723, 769, 14328, 10974, 912, 763, 3830, 24508, 547, 2285, 281, 901, 6920, 602, 519, 4287, 540, 589, 786, 581, 519, 1482, 607, 602, 540, 519, 1699, 547, 799, 621, 568, 2404, 269, 630, 2254, 865, 2241, 538, 519, 824, 11282, 1949, 264, 634, 6152, 2361, 267, 589, 267, 4540, 538, 782, 2230, 267, 568, 3006, 4330, 607, 1373, 513, 968, 14673, 21424, 3239, 892, 540, 922, 10451, 1699, 780, 22091, 11306, 585, 15783, 454, 13706, 513, 11186, 2609, 267, 3254, 1934, 269, 2201, 519, 2451, 568, 513, 1448, 5279, 6719, 676, 513, 11186, 3259, 540, 1899, 5279, 269, 2201, 519, 1318, 568, 513, 11186, 1699, 3693, 269, 634, 1305, 5725, 585, 13844, 1761, 616, 9838, 1063, 519, 1079, 2665, 269, 7412, 932, 1618, 7412, 7351, 2480, 531, 541, 5082, 15543, 1738, 15783, 21070, 25080, 15783, 692, 14197, 25285, 585, 21070, 15783, 454, 2690, 1804, 4336, 5279, 610, 1699, 14778, 267, 649, 1131, 2040, 519, 11186, 7418, 676, 10128, 936, 519, 5279, 610, 1699, 267, 3976, 281, 543, 634, 6806, 2619, 7533, 568, 3144, 1317, 519, 1699, 1590, 2673, 593, 3294, 547, 1106, 513, 2347, 5547, 269, 1280, 2627, 610, 4320, 1699, 14778, 267, 649, 1131, 723, 267, 6606, 281, 610, 538, 519, 1482, 6073, 602, 649, 1031, 585, 22185, 3167, 1761, 780, 7078, 1284, 3136, 609, 519, 11186, 1699, 3693, 607, 3254, 1934, 281, 769, 713, 2013, 3587, 693, 1448, 623, 281, 3767, 267, 519, 1225, 331, 568, 3144, 538, 20425, 10974, 281, 901, 568, 519, 1482, 1267, 607, 1336, 1210, 519, 645, 3999, 4149, 822, 691, 4521, 630, 553, 621, 1058, 581, 264, 0, 2162, 5851, 3436, 595, 3201, 290, 3436, 3848, 476, 273, 3436, 7689, 476, 273, 269, 275, 269, 272, 3436, 9046, 273, 268, 15793, 692, 273, 268, 15793, 780, 306, 8208, 577, 513, 3113, 540, 519, 3148, 22112, 676, 519, 3252, 1269, 325, 3287, 264, 815, 1535, 317, 273, 8961, 1269, 326, 3287, 264, 815, 6567, 273, 343, 1341, 476, 279, 8961, 543, 519, 1269, 343, 27572, 9471, 780, 272, 269, 1215, 1223, 596, 7447, 519, 1858, 538, 713, 3148, 2496, 273, 269, 4635, 707, 1505, 267, 7447, 519, 1858, 540, 519, 3148, 780, 20877, 519, 3252, 269, 1744, 1228, 519, 3148, 269, 4855, 782, 4143, 28963, 281, 7316, 1281, 1269, 325, 3287, 7751, 12969, 609, 1269, 326, 3287, 7751, 286, 7316, 1281, 1142, 1599, 3444, 519, 1269, 343, 27572, 9471, 286, 1215, 1082, 29398, 786, 596, 991, 2496, 763, 3252, 12969, 693, 18121, 273, 267, 476, 275, 259, 1040, 634, 1858, 1058, 581, 4114, 13846, 609, 25965, 610, 25671, 6950, 585, 1269, 271, 18016, 1535, 18016, 476, 273, 259, 543, 3773, 547, 519, 1858, 540, 519, 6906, 585, 1269, 273, 18016, 1535, 18016, 476, 275, 16859, 15307, 23660, 786, 4268, 269, 1858, 1109, 7445, 13627, 1422, 2765, 346, 272, 2410, 4335, 4153, 8999, 3709, 333, 284, 271, 8703, 15886, 4153, 19136, 7268, 2765, 23533, 2410, 4335, 4153, 19136, 8203, 273, 10954, 2765, 346, 272, 2410, 273, 12917, 273, 7565, 275, 9385, 13627, 476, 277, 269, 5780, 20728, 346, 4559, 11892, 273, 259, 0, 258, 4855, 519, 1858, 540, 519, 5823, 540, 513, 5858, 2348, 8953, 476, 277, 4699, 543, 540, 5086, 476, 1789, 4113, 780, 9223, 1384, 8340, 519, 1858, 540, 519, 5823, 540, 513, 5858, 2348, 8953, 476, 277, 4699, 543, 540, 5086, 476, 1789, 4113, 780, 11405, 1384, 2171, 723, 1269, 337, 284, 277, 1422, 9507, 346, 349, 9492, 4151, 543, 4399, 9064, 284, 1789, 17353, 15132, 10592, 3086, 267, 9351, 540, 5823, 1269, 7807, 2765, 3189, 9064, 2410, 11740, 17353, 15132, 3686, 1422, 9392, 1422, 7032, 678, 3867, 273, 18098, 2765, 346, 1789, 17353, 15132, 12453, 11740, 17353, 15132, 3686, 1422, 9392, 476, 274, 269, 1691, 1422, 9392, 476, 3607, 284, 280, 269, 5655, 1422, 9507, 346, 349, 9492, 8703, 273, 10592, 17798, 267, 519, 1858, 540, 519, 5823, 540, 519, 5858, 568, 1269, 280, 269, 5655, 1422, 9507, 346, 349, 9492, 8703, 273, 23201, 0, 14396, 692, 14006, 539, 676, 16317, 320, 476, 736, 11281, 9206, 5234, 5641, 338, 513, 14692, 540, 476, 1321, 11281, 269, 6343, 568, 5086, 540, 3141, 7590, 547, 519, 3529, 692, 1892, 2257, 910, 692, 11927, 288, 815, 962, 270, 311, 815, 476, 736, 270, 1321, 815, 476, 272, 269, 26116, 277, 454, 288, 815, 476, 6795, 334, 780, 13436, 5999, 692, 272, 269, 4569, 692, 288, 3529, 5641, 338, 513, 14692, 602, 3800, 476, 276, 332, 269, 2311, 519, 1482, 942, 28083, 11281, 6529, 5641, 338, 513, 14692, 602, 568, 476, 271, 269, 275, 332, 1279, 269, 1215, 7381, 568, 519, 3529, 888, 273, 269, 4569, 476, 12893, 692, 288, 3529, 5641, 338, 513, 14692, 602, 3800, 476, 276, 544, 269, 2311, 519, 1482, 942, 267, 513, 11281, 6529, 5641, 338, 513, 14692, 602, 568, 476, 271, 269, 275, 544, 1279, 269, 1215, 7381, 568, 519, 3529, 888, 274, 269, 2979, 476, 12893, 8863, 476, 278, 692, 288, 3529, 5641, 338, 513, 14692, 602, 3800, 476, 276, 544, 269, 2311, 519, 1482, 942, 267, 513, 11281, 6529, 5641, 338, 513, 14692, 602, 568, 476, 271, 269, 275, 544, 1279, 269, 1215, 7381, 568, 519, 3529, 888, 275, 269, 2979, 692, 288, 12566, 3529, 5641, 338, 513, 476, 1321, 2173, 2678, 14692, 593, 1377, 2666, 269, 634, 5086, 540, 15038, 689, 519, 9133, 540, 519, 14692, 547, 519, 1283, 540, 519, 3529, 568, 476, 2004, 5232, 269, 1677, 519, 14282, 20870, 540, 513, 11281, 267, 1018, 568, 519, 4463, 540, 519, 12566, 3529, 888, 276, 269, 2979, 692, 288, 12566, 3529, 5641, 338, 513, 476, 1321, 2173, 2678, 14692, 593, 1377, 2666, 269, 634, 5086, 540, 15038, 689, 519, 9133, 540, 519, 14692, 547, 519, 1283, 540, 519, 3529, 568, 476, 2004, 5232, 269, 1677, 519, 14282, 20870, 540, 513, 11281, 267, 1018, 568, 519, 4463, 540, 519, 12566, 3529, 888, 277, 269, 4569, 692, 288, 3529, 5641, 338, 513, 14692, 602, 3800, 476, 276, 544, 269, 2311, 519, 1482, 942, 267, 513, 11281, 6529, 5641, 338, 513, 14692, 602, 568, 476, 271, 269, 275, 544, 1279, 269, 1215, 7381, 568, 519, 3529, 888, 278, 269, 2979, 692, 288, 3529, 5641, 338, 513, 14692, 602, 3800, 476, 276, 544, 269, 2311, 519, 1482, 942, 267, 513, 11281, 6529, 5641, 338, 513, 14692, 602, 568, 476, 271, 269, 275, 544, 1279, 269, 1215, 7381, 568, 519, 3529, 888, 279, 269, 2979, 692, 2252, 513, 476, 1789, 2173, 2678, 12566, 3529, 5641, 338, 513, 14692, 540, 476, 1789, 11281, 267, 875, 2484, 568, 519, 9133, 540, 519, 14692, 689, 1283, 540, 519, 3529, 888, 280, 269, 2979, 692, 534, 3167, 15393, 568, 476, 2190, 11281, 1164, 5641, 338, 513, 14692, 540, 476, 736, 11281, 1279, 26098, 519, 4463, 540, 519, 3529, 952, 621, 5641, 525, 513, 14692, 540, 476, 1428, 11281, 1279, 896, 2147, 2175, 454, 1015, 269, 2979, 692, 534, 3167, 15393, 568, 476, 2190, 11281, 1164, 5641, 338, 513, 14692, 540, 476, 736, 11281, 1279, 26098, 519, 4463, 540, 519, 3529, 952, 621, 5641, 525, 513, 14692, 540, 476, 1428, 11281, 1279, 896, 2147, 2175, 269, 1496, 1410, 21622, 543, 1118, 519, 3349, 952, 1463, 610, 11201, 8390, 6540, 5415, 5381, 5999, 0, 1012, 6875, 3733, 674, 1111, 18527, 4147, 692, 288, 834, 293, 1111, 18527, 4147, 257, 1627, 292, 257, 568, 513, 3044, 6310, 2165, 585, 513, 20902, 6024, 4082, 799, 568, 8246, 547, 8207, 11186, 12596, 543, 814, 2533, 799, 616, 6296, 269, 769, 11186, 4147, 6061, 267, 513, 674, 1111, 18527, 1599, 267, 610, 834, 15153, 257, 568, 1031, 780, 763, 674, 1111, 18527, 4147, 538, 4147, 2186, 666, 581, 7000, 607, 281, 1627, 263, 1535, 264, 815, 910, 330, 343, 273, 267, 1141, 1627, 263, 1535, 264, 616, 519, 674, 1111, 18527, 4147, 543, 621, 568, 606, 1271, 2165, 269, 634, 7117, 851, 540, 519, 4147, 568, 519, 674, 1111, 18527, 3586, 267, 6466, 519, 1535, 851, 568, 519, 674, 1111, 18527, 1599, 780, 2467, 616 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 799, 476, 10695, 14999, 29670, 538, 6917, 2127, 267, 799, 568, 1946, 1034, 1055, 3766, 5090, 1949, 616, 1031, 538, 6917, 2127, 269, 898, 814, 513, 1970, 1942, 2973, 7791, 267, 6325, 543, 10375, 267, 2653, 547, 3888, 543, 5826, 2934, 267, 835, 6066, 5092, 666, 581, 22121, 585, 811, 982, 476, 1839, 1296, 540, 1379, 3761, 563, 19423, 21935, 2792, 3490, 6728, 1062, 454, 4415, 519, 7839, 946, 543, 2956, 540, 26313, 538, 2413, 2486, 267, 7658, 1260, 5989, 814, 1044, 3710, 1063, 4872, 543, 4872, 269, 769, 1931, 547, 1265, 5078, 2959, 540, 1055, 3766, 5090, 1379, 3761, 267, 1247, 10893, 1648, 3790, 543, 2825, 1764, 267, 519, 7658, 1260, 2872, 568, 11235, 547, 1265, 3435, 689, 519, 25675, 2872, 547, 5372, 519, 8723, 1379, 540, 519, 3070, 454, 288, 3070, 269, 634, 3859, 1055, 3766, 5090, 1062, 2488, 3435, 602, 666, 2743, 519, 2115, 540, 26313, 269, 5510, 21935, 3859, 2792, 3490, 6728, 645, 4811, 666, 581, 8704, 21066, 543, 786, 711, 1491, 909, 1932, 1454, 2244, 2200, 267, 543, 666, 5612, 5352, 5201, 269, 5510, 21935, 2792, 3490, 6728, 1062, 609, 6325, 1379, 2200, 267, 7850, 1648, 4859, 547, 5965, 585, 20314, 4293, 282, 849, 814, 513, 2973, 543, 7791, 267, 2653, 547, 2226, 543, 865, 593, 267, 1970, 21057, 5092, 666, 1205, 476, 1839, 1296, 540, 1379, 3761, 269, 9891, 8265, 1769, 1062, 454, 5978, 3859, 8265, 1769, 1062, 3096, 3608, 3334, 547, 1683, 1379, 2959, 269, 4438, 519, 1554, 267, 519, 3334, 5279, 519, 6007, 282, 693, 3781, 267, 519, 6007, 568, 519, 1769, 15941, 454, 17809, 728, 7850, 1379, 3761, 269, 898, 814, 513, 2603, 540, 1852, 7154, 267, 971, 607, 942, 1852, 267, 1769, 1852, 267, 6552, 1852, 267, 3092, 1421, 596, 798, 711, 991, 547, 13948, 13861, 621, 267, 849, 991, 1100, 7294, 543, 7199, 5911, 10612, 18413, 269, 769, 1840, 267, 713, 3859, 8265, 1769, 3096, 513, 1970, 6453, 9823, 1379, 3761, 267, 799, 2306, 621, 10930, 543, 811, 6325, 267, 543, 621, 666, 581, 4922, 1031, 538, 1835, 1170, 2275, 1484, 10754, 267, 6917, 9897, 543, 865, 593, 269, 0, 16248, 1480, 4909, 4690, 454, 7628, 519, 1279, 1353, 540, 519, 15099, 621, 814, 13631, 3007, 711, 1152, 540, 15338, 690, 1132, 267, 855, 540, 519, 2898, 2486, 538, 2489, 267, 519, 3406, 540, 6114, 610, 3515, 540, 2962, 547, 2087, 519, 2069, 538, 938, 2197, 269, 2201, 519, 1739, 3817, 594, 786, 1020, 519, 15099, 607, 513, 1523, 855, 607, 513, 2686, 4070, 543, 602, 849, 2636, 547, 10891, 513, 1305, 540, 3872, 2853, 563, 763, 15099, 568, 711, 513, 1523, 267, 855, 513, 2686, 4070, 269, 2334, 568, 547, 2161, 621, 568, 711, 513, 2243, 540, 606, 7493, 1523, 602, 814, 1022, 6228, 547, 851, 540, 543, 30675, 547, 519, 1480, 1995, 269, 898, 568, 267, 593, 519, 824, 1688, 267, 513, 1259, 540, 12180, 513, 1305, 540, 3872, 1480, 2853, 269, 1924, 1454, 519, 12497, 543, 2686, 1935, 267, 789, 1780, 547, 513, 15099, 607, 513, 1514, 4070, 267, 2094, 606, 1271, 3693, 14687, 538, 519, 1153, 585, 7587, 5024, 513, 851, 540, 1010, 2528, 269, 18124, 590, 14371, 745, 526, 344, 602, 968, 547, 3717, 827, 519, 15099, 13054, 1776, 1259, 540, 6340, 827, 3872, 2853, 540, 1978, 5238, 9232, 543, 547, 1174, 519, 1657, 5018, 2853, 568, 2556, 547, 2743, 519, 10661, 543, 519, 2486, 538, 7247, 621, 568, 17332, 267, 1010, 3919, 543, 519, 13279, 593, 799, 621, 568, 9112, 269, 901, 1935, 13054, 513, 4161, 585, 519, 4116, 267, 2094, 972, 786, 723, 547, 3747, 689, 1864, 519, 946, 540, 5078, 2994, 540, 2069, 602, 789, 1058, 26924, 1713, 1565, 538, 519, 3318, 2866, 267, 855, 8195, 547, 7703, 1360, 1454, 538, 2247, 519, 5683, 851, 267, 6236, 585, 621, 519, 2956, 602, 621, 1590, 3651, 547, 1864, 547, 519, 13998, 1713, 9115, 538, 519, 3140, 2686, 2796, 563, 763, 12497, 1935, 540, 519, 15099, 14687, 547, 602, 540, 513, 2638, 9007, 609, 2543, 547, 519, 1788, 540, 513, 2777, 267, 18562, 267, 513, 2686, 5133, 540, 22098, 1131, 723, 811, 602, 547, 1294, 609, 519, 8075, 538, 799, 519, 7606, 2661, 2907, 267, 609, 519, 4128, 602, 1291, 873, 547, 2713, 538, 873, 543, 875, 1590, 513, 2777, 581, 950, 789, 1616, 547, 1689, 2531, 545, 850, 269, 634, 2686, 1862, 0, 1607, 568, 513, 7756, 9877, 540, 12071, 17897, 454, 295, 272, 301, 272, 12071, 910, 17897, 531, 12071, 454, 295, 272, 301, 272, 543, 12119, 2770, 666, 1491, 513, 1483, 17167, 593, 707, 1053, 269, 670, 272, 301, 272, 814, 4299, 1453, 543, 1762, 4079, 693, 513, 3152, 2557, 982, 519, 2834, 12119, 2770, 269, 20290, 3368, 540, 519, 1004, 32509, 689, 670, 272, 301, 272, 723, 1044, 896, 519, 2085, 540, 476, 2190, 269, 1656, 1256, 513, 7646, 2013, 540, 670, 272, 301, 272, 666, 723, 513, 1713, 1764, 563, 1607, 1032, 781, 2770, 4005, 568, 17191, 547, 581, 513, 1279, 835, 267, 543, 949, 2063, 2429, 519, 5162, 563, 763, 2582, 267, 1034, 2500, 1259, 547, 2149, 3054, 1996, 519, 2770, 568, 547, 4309, 1312, 519, 670, 272, 301, 272, 543, 12119, 2770, 15833, 269, 634, 12080, 540, 2657, 543, 7043, 31645, 5516, 568, 6998, 585, 707, 948, 538, 8716, 3237, 547, 3717, 547, 741, 1453, 827, 3478, 18764, 563, 2080, 616, 930, 2472, 602, 649, 4126, 786, 948, 596, 3262, 519, 2262, 912, 5472, 540, 891, 2200, 543, 811, 666, 581, 1336, 676, 9683, 281, 5291, 2517, 4178, 269, 8234, 10993, 269, 517, 28022, 19841, 270, 764, 558, 11721, 1663, 10774, 272, 333, 272, 9706, 3016, 4882, 1041, 338, 269, 5684, 343, 454, 295, 272, 301, 272, 24606, 689, 519, 10615, 540, 4065, 454, 32091, 16065, 267, 14268, 267, 15050, 2103, 543, 4841, 2676, 4415, 519, 2132, 547, 1153, 540, 938, 1053, 267, 519, 17368, 14665, 7826, 10588, 3427, 8274, 786, 3136, 547, 960, 5702, 609, 519, 28769, 24189, 710, 543, 7033, 7416, 5446, 5398, 2657, 19590, 547, 6895, 543, 4383, 519, 3463, 540, 519, 670, 272, 301, 272, 3644, 269, 898, 568, 938, 7029, 547, 1683, 513, 2922, 1153, 1604, 585, 782, 540, 938, 1053, 269, 5015, 267, 649, 616, 8149, 547, 4180, 602, 4977, 1344, 568, 28078, 547, 782, 540, 938, 8639, 543, 602, 3617, 13390, 1081, 776, 3800, 616, 3144, 547, 2149, 938, 1053, 543, 5234, 563, 2026, 513, 1153, 1062, 267, 649, 616, 912, 2171, 786, 849, 1039, 513, 1297, 540, 6402, 547, 938, 3896, 585, 1344, 827, 519, 670, 272, 301, 272, 3644, 543, 786, 3136, 547, 2689, 938, 2853, 543, 10873, 609, 519, 1079, 2657, 19590, 563, 8923, 3643, 938, 3896, 693, 8940, 8542, 322, 1091, 321, 269, 517, 28022, 585, 713, 1344, 543, 891, 10311, 28629, 2293, 25442, 569, 2676, 17445, 528, 540, 4065 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 289, 2572, 1125, 11065, 6195, 5240, 2228, 269, 4438, 2622, 2782, 5565, 267, 7366, 540, 5215, 540, 23038, 941, 12628, 593, 6628, 267, 865, 621, 568, 5310, 711, 9670, 649, 616, 1869, 4466, 873, 811, 982, 476, 3583, 1296, 2663, 269, 2110, 1686, 540, 530, 2297, 519, 1101, 1158, 2112, 543, 922, 21987, 1789, 713, 2110, 1686, 814, 1044, 16432, 689, 513, 1353, 540, 513, 1297, 540, 6277, 322, 3742, 28168, 17486, 1125, 3909, 2090, 2347, 910, 12206, 723, 513, 1114, 1620, 540, 519, 1158, 267, 621, 3568, 1686, 267, 1876, 267, 536, 25900, 634, 4627, 1296, 2112, 269, 18917, 269, 901, 2985, 568, 1655, 9763, 538, 606, 909, 3562, 15082, 1357, 11422, 609, 2511, 9212, 630, 16430, 264, 13087, 11065, 6195, 645, 2572, 1125, 3163, 568, 519, 9836, 1353, 540, 519, 2168, 543, 2067, 1158, 998, 8343, 543, 17634, 269, 2296, 476, 275, 628, 3126, 18917, 2782, 2986, 634, 11416, 269, 476, 275, 269, 12659, 629, 531, 1177, 344, 269, 18917, 23722, 645, 2572, 1125, 281, 1548, 18917, 13488, 966, 17448, 7137, 8490, 589, 9931, 661, 21158, 674, 334, 2342, 2991, 2622, 2782, 4083, 269, 2991, 13431, 273, 5101, 30051, 29335, 269, 13328, 2782, 4083, 269, 634, 12019, 2782, 281, 17959, 1677, 623, 3244, 559, 3511, 1215, 12984, 5125, 667, 2622, 2782, 4083, 5695, 940, 8672, 645, 25114, 8018, 1607, 1360, 2241, 4976, 6799, 11947, 7547, 689, 18917, 645, 2572, 1125, 13085, 2200, 585, 3119, 267, 6281, 543, 2937, 1565, 269, 5253, 269, 1775, 310, 16093, 269, 645, 2572, 1125, 269, 13488, 269, 8535, 11065, 6195, 3778, 281, 2622, 12668, 563, 307, 2464, 18520, 3778, 269, 2578, 32418, 5240, 269, 803, 13877, 753, 543, 1158, 2112, 13797, 476, 5325, 512, 575, 2117, 286, 320, 13187, 602, 713, 5859, 532, 4564, 519, 4332, 540, 519, 30067, 4618, 26410, 7790, 335, 11823, 5108, 286, 607, 519, 1101, 2034, 14749, 30067, 4618, 22988, 3357, 547, 2085, 538, 519, 2038, 476, 4350, 271, 338, 880, 332, 600, 513, 327, 4364, 568, 327, 332, 600, 1007, 4308, 13314, 1018, 941, 519, 1514, 2360, 540, 519, 1390, 589, 3102, 2622, 2782, 476, 273, 1686, 3391, 609, 5013, 543, 1344, 593, 835, 540, 519, 1034, 1271, 2621, 538, 3703, 1686, 269, 11137, 269, 681, 573, 2917, 8845, 4112, 1622, 634, 16338, 9737, 18332, 1773, 28026, 24910, 6611, 903, 13437, 769, 2353, 634, 14559, 769, 634, 2622, 476, 275, 3108, 3516, 269, 16665, 27294, 269, 9612, 585, 834, 289, 6195, 645, 2572, 1125, 281, 11512, 619, 257, 593, 8835, 563, 1260, 269, 23794, 274, 645, 2572, 1125, 269, 5455, 585, 513, 4161, 286, 289, 6195, 25103, 269, 645, 1872, 321, 8986, 269, 9523, 707, 2984, 267, 4555, 543, 4606, 256, 18439, 519, 1686, 540, 519, 1158, 998, 3615, 269, 4787, 760, 547, 1543, 269, 29456, 6435, 269, 18917, 1775, 291, 269, 3502, 5874, 269, 328, 310, 16093, 269, 645, 2572, 1125, 269, 13488, 269, 8535, 269, 24918, 538, 7822, 3487, 476, 273, 281, 8752, 940, 2782, 269, 676, 11657, 776, 6200, 269, 12005, 28088, 1280, 645, 25900, 717, 22330, 645, 2572, 1125, 634, 12019, 2782, 15030, 541, 267, 543, 519, 23162, 7323, 850, 19822, 288, 6281, 1153, 14469, 4199, 585, 23722, 3778, 827, 2413, 1158, 1686, 267, 3486, 1894, 543, 3123, 540, 519, 12019, 2782, 13328, 2782, 2290, 543, 5565, 15486, 540, 2622, 2782, 2290, 267, 15521, 540, 12411, 320, 14792, 3860, 1603, 536, 25900, 17486, 1125, 28168, 7254, 21473, 322, 8646, 1533, 3860, 1603, 12200, 3860, 1603, 16287, 7355, 31872, 273, 1655, 2228, 3860, 1603, 605, 26810, 16447, 2112, 1079, 6780, 948, 4608, 342, 3860, 1603, 544, 17304, 5098, 20536, 538, 795, 320, 760, 584, 948, 593, 476, 277, 628, 3446, 2979, 6780, 6780, 948, 619, 2542, 645, 25900, 3778, 2622, 2782, 5565, 12005, 20155, 289, 25900, 910, 31872, 274, 17486, 1125, 1686, 910, 519, 2034, 1158, 2112, 289, 25900, 910, 1153, 5925, 910, 1158, 2112, 476, 273, 8301, 24056, 910, 17355, 826, 525, 538, 11374, 2622, 2782, 594, 267, 3013, 1185, 4941, 547, 2482, 1055, 540, 9097, 2242, 602, 1624, 3293, 1354, 267, 543, 2661, 513, 3339, 1272, 14371, 17698, 645, 2572, 1125, 281, 634, 21744, 10020, 540, 1977, 6468, 538, 519, 476, 4572, 271, 338, 269, 18917, 267, 18917, 267, 8940, 269, 6277, 322, 16691, 16896, 4882, 1041, 338, 17320, 22330, 321, 2572, 1125, 270, 20931, 8276, 3369, 270, 25901, 270, 4572, 271, 338, 516, 341, 273, 11075, 15621, 269, 13159, 2622, 2782, 5565, 538, 2342, 15415, 609, 6337, 267, 1257, 267, 543, 936, 476, 1911, 6402, 269, 8702, 547, 782, 23722, 3778, 1053, 256, 590, 3036, 23802, 267, 4986, 1934, 585, 22244, 21612, 3201, 681, 9128, 3036, 5960, 630, 339, 787, 891, 18917, 645, 2572, 1125, 4967, 264, 610, 17886, 4953, 2793, 300, 630, 16591, 4967, 1934, 1040, 28161, 513, 1650, 339, 11839, 269, 2622, 2782, 4083, 269, 676, 918, 9461, 1054, 5153, 7315, 773, 20193, 729, 1767, 602, 5125, 1058, 1491, 16620, 585, 519, 12176, 540, 2622, 2782, 594, 267, 1185, 547, 2628, 585, 519, 3441, 1500, 267, 4389, 7952, 543, 2244, 729, 3144, 2476, 689, 873, 269, 8940, 269, 20931, 3598, 11789, 924, 16691, 16896, 269, 1284, 666, 8044, 602, 4300, 848, 618, 3361, 2622, 2782, 4083, 1317, 621, 4847, 13609, 543, 519, 21647, 547, 1628, 4436, 903, 4108, 1379, 2394, 621, 729, 2178, 2614, 547, 4339, 513, 2101, 2112, 269, 645, 2572, 1125, 11065, 761, 880, 8456, 547, 519, 8168, 5742, 1354, 2622, 2782, 476, 273, 269, 9521, 5333, 267, 6628, 4718, 519, 8168, 5742, 607, 513, 3152, 3463, 547, 4708, 982, 5125, 269, 6276, 3268, 547, 1603, 606, 16878, 1557, 21338, 5220, 3211, 269, 25020, 269, 1603, 1557, 645, 25900, 7005, 17486, 1125, 269, 5988, 476, 2764, 267, 476, 1001, 279, 476, 279, 281, 6321, 10681, 269, 22967, 593, 476, 273, 1158, 2112, 9413, 1434, 10530, 585, 2852, 3594, 2495, 1660, 1731, 330, 761, 1731, 581, 7371, 1408, 1557, 12210, 2720, 534, 3315, 572, 581, 7371, 1408, 1557, 3046, 871, 1073, 4821, 31849, 540, 1004, 12394, 547, 1265, 9623, 827, 14181, 564, 523, 1633, 2622, 2782, 594, 328, 10934, 543, 6157, 835, 540, 873, 568, 596, 267, 568, 711, 621, 286, 19247, 6168, 645, 25900, 14451, 645, 2572, 1125, 3778, 22540, 31280, 269, 645, 25900, 3778, 2622, 2782, 5565, 12005, 20155, 289, 25900, 910, 3119, 1686, 910, 1158, 2112, 476, 273, 910, 1453, 693, 2112, 289, 25900, 910, 2362, 17486, 1125, 1686, 910, 544, 684, 747, 14469, 645, 25900, 645, 2572, 1125, 918, 338, 273, 3778, 12005, 20155, 289, 25900, 910, 31872, 274, 17486, 1125, 1686, 910, 519, 2034, 1158, 2112, 289, 25900, 17486, 1125, 910, 1018, 729, 1272, 899, 538, 519, 19005, 7952, 630, 3682, 21793, 609, 22197, 6402, 616, 6378, 676, 18175, 15665, 707, 8731, 1370, 7817, 14386, 18917, 15571, 14635, 634, 5822, 2622, 2782, 269, 3245, 3026, 6807, 25679, 331, 1622, 8978, 17083, 540, 2112, 538, 5125, 538, 476, 4350, 280, 547, 519, 4992, 540, 556, 14765, 6005, 24921, 593, 966, 297, 4303, 538, 4864, 476, 3707, 276, 590, 3036, 23802, 267, 4986, 1934, 585, 22244, 21612, 3201, 681, 9128, 3036, 5960, 630, 339, 787, 891, 18917, 645, 2572, 1125, 4967, 3738, 610, 17886, 4953, 2793, 300, 630, 16591, 4967, 1934, 1040, 19322, 664, 543, 2622, 2782, 4083, 269, 645, 2572, 1125, 269, 13488, 563, 289, 5802, 4751, 269, 6423, 782, 13739, 338, 540, 26235, 543, 8050, 538, 2622, 2782, 476, 273, 630, 272, 1040, 19881, 4670, 8747, 540, 634, 2782, 540, 519, 2622, 338, 941, 711, 3833, 607, 16614, 540, 519, 2707, 1570, 269, 3080, 540, 519, 5496, 32392, 6700, 602, 519, 476, 1220, 276, 4670, 729, 513, 1427, 2454, 540, 519, 2112, 538, 12925, 267, 513, 521, 1633, 518, 1100, 8969, 2390, 1977, 8165, 2367, 543, 2021, 269, 5272, 2622, 2782, 4083, 7260, 568, 8909, 538, 930, 1259, 267, 855, 1906, 630, 604, 1022, 264, 616, 607, 25340, 14042, 607, 15608, 654, 23412, 2311, 821, 618, 267, 799, 9676, 1169, 6564, 641, 540, 10969, 566, 602, 27950, 5062, 292, 9774, 5206, 883, 1010, 3209, 540, 519, 1482, 2012, 267, 543, 6039, 873, 909, 609, 513, 1007, 4110, 540, 530, 3402, 532, 8515, 269, 2974, 320, 268, 910, 1032, 322, 1245, 8705, 524, 3737, 10674, 3506, 922, 1764, 593, 2451, 543, 693, 536, 25900, 28168, 17486, 1125, 2257, 267, 536, 321, 12050, 476, 276, 267, 536, 25900, 28168, 17486, 1125, 13004, 267, 536, 321, 12050, 476, 280, 3583, 271, 267, 1728, 3430, 15678, 20446, 267, 1728, 3430, 15678, 666, 828, 571, 267, 6301, 2601, 585, 28168, 524, 2112, 5736, 609, 631, 3369, 19014, 693, 586, 531, 3279, 543, 546, 524, 3737, 322, 1245, 2112, 22964, 826, 5614, 6881, 13973, 15486, 540, 2622, 2782, 5565, 910, 3778, 4804, 13505, 13303, 5125, 16555, 543, 31150, 1344, 827, 1158, 2112, 13797, 630, 4350, 280, 268, 3707, 276, 264, 689, 519, 1007, 26294, 2053, 2529, 3036, 23802, 267, 4986, 1934, 585, 22244, 21612, 3201, 681, 9128, 3036, 5960, 630, 339, 787, 891, 18917, 645, 2572, 1125, 4967, 264, 610, 17886, 4953, 2793, 300, 630, 16591, 4967, 1934, 264, 634, 2817, 24918, 2622, 2782, 4083, 27484, 5149, 7335, 269, 645, 1329, 15467, 1147, 682, 3135, 715, 269, 17502, 527, 595, 2378, 5918, 5800, 13248, 512, 719, 324, 3747, 324, 546, 269, 5901, 909, 547, 4266, 609, 519, 2069, 8257, 676, 1739, 938, 1514, 2923, 9055, 11065, 6195, 645, 2572, 1125, 5851, 269, 22206, 571, 1326, 5052, 547, 1489, 3119, 1153, 1888, 960, 269, 18917, 3778, 540, 2622, 2782, 4083, 630, 2735, 280, 736, 4962, 264, 568, 513, 476, 1789, 16923, 267, 476, 1321, 1673, 4593, 4015, 540, 476, 1015, 18917, 8613, 8874, 827, 2622, 2782, 4083, 269, 634, 8874, 1331, 32026, 267, 2703, 644, 1090, 553, 267, 543, 834, 323, 1090, 520, 1242, 32026, 257, 630, 5793, 24408, 1154, 540, 3140, 22089, 609, 10565, 9903, 725, 1040, 2622, 2782, 2290, 543, 5565, 630, 289, 6195, 645, 2572, 1125, 264, 15486, 540, 2622, 2782, 2290, 267, 15521, 540, 12411, 320, 14792, 267, 13477, 540, 8315, 267, 10003, 547, 2622, 2782, 5565, 269, 11242, 267, 7044, 4255, 269, 645, 25900, 910, 28168, 17486, 1125, 910, 1158, 2112, 2073, 589, 6281, 1153, 14469, 4199, 585, 28168, 1686, 827, 2413, 1158, 1686, 267, 3486, 1894, 267, 519, 3123, 540, 1158, 2112, 835, 267, 519, 14097, 540, 17930, 14792, 267, 519, 269, 645, 2572, 1125, 269, 13488, 269, 8535, 2529, 2465, 782, 13739, 338, 540, 2622, 2782, 8422, 281, 18738, 519, 2782, 18740, 630, 274, 1040, 645, 2572, 1125, 20136, 10872, 568, 711, 4867, 2139, 593, 18917, 1775, 32156, 269, 2782, 540, 519, 2622, 338, 269, 12729, 3778, 910, 2622, 2782, 476, 273, 630, 289, 6195, 1040, 19974, 543, 5345, 659, 6672, 630, 289, 6195, 1040, 1215, 2622, 2782, 4083, 932, 6548, 18421, 4534, 4634, 3776, 570, 4292, 585, 15443, 344, 630, 327, 4428, 15838, 14006, 2593, 1040, 10910, 514, 14657, 2622, 2782, 476, 273, 2073, 3371, 693, 8940, 269, 19112, 2117, 1228, 2593, 596, 786, 1265, 6732, 12005, 20211, 1228, 256, 602, 616, 2731, 5863, 269, 13328, 2782, 594, 328, 630, 19669, 264, 15776, 18917, 14451, 645, 2572, 1125, 2876, 31133, 828, 267, 645, 636, 3258, 1676, 267, 1656, 14022, 674, 1779, 4133, 2782, 645, 25900, 645, 2572, 1125, 269, 20509, 532, 26264, 9623, 20166, 671, 2051, 342, 2106, 13743, 528, 547, 581, 4378, 10696, 476, 3451, 1296, 1310, 2669, 538, 519, 674, 1779, 4133, 2782, 910, 18917, 5240, 476, 7865, 325, 268, 272, 269, 6277, 857, 16691, 16896, 269, 18917, 910, 23722, 645, 2572, 1125, 910, 2622, 2782, 2290, 543, 5565, 6993, 6281, 1153, 14469, 4199, 585, 23722, 3778, 827, 2413, 1158, 1686, 267, 3486, 1894, 267, 519, 3123, 540, 2622, 2782, 2290, 267, 519, 15521, 540, 12411, 320, 14792, 267, 519, 13477, 540, 8315, 543, 519, 4155, 547, 2622, 2782, 5565, 7689, 12697, 543, 10049, 827, 2622, 2782, 4083, 585, 2539, 2987, 23059, 543, 13591, 1377, 1053, 267, 1032, 476, 278, 268, 280, 538, 13785, 11065, 6195, 3427, 15571, 2622, 2782, 476, 273, 23866, 1849, 2354, 16672, 540, 2112, 281, 6751, 3026, 6807, 25679, 331, 664, 3045, 25555, 6628, 568, 693, 2112, 630, 334, 281, 4366, 264, 10674, 645, 2572, 1125, 269, 5851, 269, 23794, 274, 269, 3778, 11065, 6195, 3778, 281, 2622, 12668, 269, 570, 2464, 18520, 3778, 269, 2578, 32418, 5240, 269, 6258, 827, 543, 23590, 2622, 2782, 5565, 543, 875, 621, 4957, 1686, 899, 1100, 824, 2680, 538, 519, 2413, 5736, 609, 18917, 645, 2572, 1125 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 799, 1297, 14687, 547, 519, 1318, 1439, 4812, 540, 1899, 10126, 1496, 271, 267, 272, 264, 2496, 296, 3180, 1079, 2596, 6644, 602, 692, 263, 272, 264, 5272, 1899, 10126, 814, 1079, 1439, 9557, 780, 263, 273, 264, 634, 1439, 4812, 540, 513, 1899, 10126, 568, 851, 540, 621, 780, 3383, 607, 585, 519, 1899, 10126, 7222, 547, 1496, 271, 267, 272, 3910, 952, 649, 4894, 922, 1318, 1439, 4812, 267, 799, 1297, 14687, 547, 519, 1318, 1439, 4812, 540, 519, 1007, 1899, 10126, 286, 594, 1810, 1405, 1589, 519, 1297, 568, 1869, 476, 272, 267, 1317, 649, 723, 2907, 6569, 519, 1448, 7222, 547, 476, 272, 267, 3976, 2813, 713, 1007, 1899, 10126, 267, 519, 1448, 476, 272, 568, 711, 851, 540, 519, 1007, 1899, 10126, 267, 865, 2687, 547, 1250, 6644, 630, 273, 1070, 594, 1810, 1405, 1589, 519, 1297, 568, 476, 272, 780, 10000, 11845, 281, 589, 22112, 6024, 10126, 538, 513, 1899, 568, 1250, 4214, 540, 834, 1467, 10126, 5016, 10000, 11845, 281, 594, 1589, 594, 12193, 1250, 2243, 2073, 1294, 2626, 2630, 692, 1892, 1548, 568, 707, 4214, 540, 834, 1467, 10126, 22172, 594, 1131, 2161, 602, 1269, 314, 271, 267, 272, 7751, 3884, 1405, 513, 1899, 10126, 693, 782, 269, 5463, 476, 2764, 267, 476, 1708, 271, 693, 476, 271, 281, 6860, 454, 1892, 4270, 1287, 1018, 798, 596, 1611, 676, 834, 572, 8540, 22172, 5463, 476, 2764, 267, 476, 1708, 271, 693, 476, 271, 281, 6021, 454, 1892, 634, 1318, 1439, 1448, 568, 1869, 1269, 272, 259, 543, 621, 568, 513, 3368, 268, 13449, 1899, 10126, 269, 589, 1899, 10126, 949, 711, 2270, 922, 1439, 2798, 4534, 621, 1152, 2115, 547, 2270, 782, 2798, 1063, 873, 269, 3367, 1934, 5463, 476, 2764, 267, 476, 1708, 271, 693, 476, 271, 281, 1015, 454, 1892, 634, 8884, 1269, 314, 271, 267, 272, 316, 259, 814, 606, 1102, 3065, 1269, 271, 259, 799, 4523, 547, 849, 581, 513, 5934, 543, 849, 513, 25160, 636, 1269, 272, 259, 799, 849, 4523, 547, 581, 513, 5021, 269, 634, 3368, 268, 13449, 8884, 1269, 314, 271, 267, 272, 7751, 814, 606, 1102, 3065, 1269, 271, 259, 799, 4523, 547, 849, 581, 513, 5934, 543, 849, 513, 25160, 636, 1269, 272, 259, 799, 568, 711, 513, 5021, 2094, 621, 568, 711, 3769, 538, 519, 3368, 268, 13449, 8884, 269, 634, 3368, 268, 13449, 8884, 1269, 314, 271, 267, 272, 7751, 1281, 711, 723, 513, 5021, 269, 834, 263, 273, 264, 634, 1439, 15304, 540, 513, 1899, 10126, 568, 851, 540, 621, 257, 1717, 596, 1118, 707, 8847, 596, 616, 1210, 11826, 267, 713, 3948, 786, 2693, 581, 7301, 269, 5463, 476, 2764, 267, 476, 1708, 271, 693, 476, 271, 281, 1428, 454, 1892, 3767, 2807, 596, 1522, 581, 15673, 539, 547, 2161, 602, 1310, 9427, 1269, 272, 8961, 972, 568, 1869, 2469, 547, 581, 930, 834, 331, 17999, 257, 1297, 538, 519, 8884, 1862, 602, 621, 1131, 581, 1945, 899, 1269, 271, 269, 15886, 315, 25854, 8961, 2705, 11291, 602, 1269, 271, 269, 15886, 315, 25854, 259, 568, 1541, 1227, 3160, 547, 1269, 272, 10608, 2060, 602, 538, 2247, 267, 1022, 6069, 5021, 1269, 332, 259, 799, 568, 14553, 1447, 982, 1269, 272, 259, 649, 666, 1397, 1223, 711, 581, 519, 5021, 2094, 3168, 693, 519, 3328, 267, 4399, 2765, 31551, 266, 272, 2410, 273, 20954, 713, 786, 581, 14553, 3152, 982, 1269, 332, 259, 543, 14553, 1447, 982, 1269, 272, 259, 543, 8754, 513, 1297, 3677, 982, 1269, 332, 259, 538, 519, 8884, 17591, 532, 602, 1269, 332, 259, 1223, 723, 1044, 519, 5021, 538, 519, 1101, 1747, 907, 5463, 476, 2764, 267, 476, 1708, 271, 693, 476, 271, 281, 2420, 692, 7312, 8369, 630, 272, 264, 543, 630, 273, 264, 616, 22522, 609, 707, 630, 574, 680, 1221, 264, 6644, 630, 274, 1070, 602, 3230, 314, 271, 267, 272, 14638, 568, 513, 1899, 10126, 269, 1403, 596, 5963, 3494, 782, 1614, 540, 891, 6898, 267, 1287, 621, 5205, 267, 607, 3781, 5205, 1554, 267, 602, 596, 3494, 602, 3230, 273, 266, 273, 284, 278, 18079, 602, 519, 9855, 568, 1500, 540, 3039, 10381, 267, 543, 602, 596, 616, 519, 15352, 269, 594, 1131, 4363, 602, 596, 5402, 2015, 707, 1614, 4978, 267, 543, 1294, 799, 835, 4433, 264, 596, 616, 2731, 8149, 547, 267, 543, 799, 835, 4433, 264, 596, 616, 8348, 547, 10205, 267, 538, 519, 4690, 540, 711, 1373, 538, 513, 1533, 540, 1582, 9762, 2784, 2109, 780, 7312, 2034, 834, 21353, 545, 6644, 257, 568, 3274, 2150, 4902, 269, 634, 1297, 568, 3230, 272, 29634, 2467, 14553, 6340, 568, 1100, 1439, 4812, 540, 513, 1899, 26000, 8540, 610, 18422, 693, 606, 1930, 10465, 269, 2334, 1767, 267, 519, 1483, 1297, 7222, 547, 606, 1439, 540, 513, 1899, 26000, 8540, 3989, 676, 543, 2165, 3215, 693, 513, 13113, 1871, 2715, 2041, 621, 1496, 514, 7672, 610, 16934, 14587, 568, 3274, 602, 1297, 267, 1775, 4318, 269, 476, 272, 780, 5575, 2073, 621, 568, 5363, 547, 1217, 803, 547, 2638, 2436, 1496, 271, 267, 272, 264, 814, 513, 1318, 1439, 4812, 1310, 9427, 16317, 13553, 2073, 1175, 607, 7711, 4537, 889, 5069, 297, 2129, 686, 5483, 602, 692, 288, 1899, 10126, 949, 711, 2270, 922, 1439, 2798, 4534, 621, 1152, 2115, 547, 2270, 782, 2798, 1063, 873, 269, 3367, 1934, 692, 810, 594, 29144, 519, 4214, 540, 513, 1899, 10126, 269, 0, 1012, 476, 14756, 509, 18777, 350, 28786, 19540, 503, 347, 421, 504, 493, 10951, 374, 26166, 22909, 494, 30853, 4970, 504, 28786, 19540, 503, 560, 27181, 2079, 28786, 19540, 503, 347, 21316, 306, 31134, 692, 1708, 274, 23946, 368, 272, 10951, 486, 274, 20721, 354, 692, 322, 712, 13433, 2000, 629, 12814, 476, 20992, 418, 480, 357, 7511, 419, 499, 503, 27730, 13200, 509, 418, 370, 363, 32517, 507, 421, 358, 378, 418, 488, 353, 420, 486, 359, 13127, 506, 357, 28786, 19540, 503, 421, 504, 493, 10951, 374, 26166, 22909, 494, 560, 27181, 2079, 331, 25913, 30837, 351, 26266, 366, 14756, 493, 21550, 495, 419, 360, 489, 29072, 420, 485, 359, 26266, 365, 7511, 9463, 352, 419, 351, 495, 267, 476, 32517, 507, 13644, 479, 30837, 510, 420, 364, 365, 267, 28859, 360, 502, 420, 368, 357, 4970, 498, 31308, 509, 10254, 505, 7511, 14756, 509, 18777, 350, 32417, 28786, 19540, 503, 10951, 491, 20693, 350, 12486, 16043, 495, 10524, 361, 7511, 4970, 497, 14395, 370, 21928, 28786, 19540, 503, 421, 504, 493, 10951, 374, 26166, 22909, 494, 560, 27181, 2079, 331, 28786, 19540, 503, 25913, 30837, 351, 14756, 493, 421, 359, 490, 22909, 479, 20992, 4970, 364, 21382, 490, 8147, 12571, 482, 26175, 491, 28786, 19540, 503, 421, 504, 493, 10951, 374, 26166, 22909, 494, 560, 27181, 2079, 331, 25203, 372, 10429, 367, 7511, 30853, 4970, 504, 18263, 509, 16533, 365, 17958, 21251, 419, 507, 478, 13644, 368, 12486, 692, 1892, 18926, 5606, 2397, 476, 14756, 509, 18777, 350, 26406, 357, 13161, 511, 454, 1892, 18926, 17270, 476, 14756, 509, 18777, 350, 18777, 350, 28997, 501, 454, 1892, 11628, 17438, 7869, 28859, 360, 502, 419, 511, 487, 418, 354, 500, 27064, 485, 18777, 374, 454, 1892, 11628, 19556, 10803, 28859, 360, 502, 419, 511, 487, 12255, 419, 494, 484, 14756, 509, 18777, 350, 27730, 454, 1892, 630, 14197, 1242, 264, 12430, 17738, 13127, 373, 379, 18263, 487, 419, 374, 379, 26233, 356, 418, 357, 350, 417, 508, 489, 454, 1892, 18926, 10724, 4804, 476, 14756, 509, 18777, 350, 10951, 374, 417, 503, 357, 27730, 18263, 510, 454, 1892, 7043, 15994, 4578, 5811, 22614, 374, 369, 12571, 495, 12255, 29004, 362, 26166, 22909, 494, 454, 1892, 25043, 540, 4578, 3163, 476, 12255, 29004, 362, 26175, 495, 27730, 417, 509, 374, 419, 350, 478, 454, 322, 712, 13433, 12814, 20992, 418, 480, 357, 418, 493, 494, 28032, 505, 23746, 23284, 32517, 507, 26166, 7511, 25060, 483, 13644, 378, 10951, 491, 20693, 350, 692, 1012, 476, 14756, 509, 18777, 350, 28786, 19540, 503, 347, 421, 504, 493, 10951, 374, 26166, 22909, 494, 30853, 4970, 504, 28786, 19540, 503, 560, 27181, 2079, 28786, 19540, 503, 347, 32417, 540, 6987, 516, 2742, 692, 1103, 1082, 2665, 649, 616, 5461, 538, 21501, 519, 5021, 610, 5934, 540, 513, 1305, 540, 4351, 4632, 269, 2913, 4399, 3847, 346, 311, 19553, 9368, 13925, 329, 284, 272, 11892, 333, 259, 581, 513, 5311, 540, 1775, 269, 328, 6155, 269, 4351, 4632, 267, 543, 1577, 454, 2330, 300, 5332, 7807, 10946, 1422, 3847, 346, 311, 318, 272, 267, 2473, 318, 273, 267, 1422, 24126, 267, 2473, 5332, 9368, 348, 1547, 16465, 2171, 1131, 899, 547, 1353, 519, 3892, 540, 1269, 300, 5332, 259, 607, 1269, 333, 1422, 21375, 1422, 13727, 10608, 634, 7194, 540, 519, 5934, 1269, 332, 5332, 7807, 2381, 1422, 3847, 346, 311, 318, 272, 267, 2473, 318, 273, 267, 1422, 24126, 267, 2473, 5332, 9368, 4151, 666, 581, 5833, 13974, 1759, 593, 519, 1249, 602, 454, 263, 273, 269, 1724, 264, 4399, 2381, 1422, 3847, 346, 311, 318, 272, 267, 2473, 318, 273, 267, 1422, 24126, 267, 2473, 5332, 9368, 13157, 10559, 10946, 1422, 3847, 24877, 311, 318, 272, 16427, 311, 318, 273, 267, 1422, 24126, 16427, 311, 5332, 9368, 4151, 563, 7078, 476, 273, 269, 1556, 269, 27539, 602, 1269, 311, 19553, 259, 568, 28354, 7856, 282, 1775, 4318, 1421, 952, 649, 20301, 676, 4399, 24838, 3287, 7751, 519, 5506, 5860, 1599, 540, 1269, 311, 19553, 8961, 1287, 454, 11377, 24838, 3287, 6661, 1422, 8218, 26231, 1162, 348, 324, 13064, 343, 9574, 1299, 1422, 3667, 2715, 952, 7684, 1535, 285, 271, 1422, 476, 271, 267, 1299, 1422, 3667, 2715, 952, 7684, 1535, 1422, 19008, 476, 271, 17910, 26231, 1162, 28021, 10190, 4399, 13992, 346, 303, 4153, 3847, 11583, 19553, 271, 259, 543, 454, 17961, 25410, 348, 1422, 13992, 346, 303, 4153, 3847, 29687, 5332, 1422, 19008, 1535, 9368, 264, 1299, 31386, 13992, 346, 303, 4153, 3847, 11583, 19553, 1422, 19008, 1535, 1422, 3667, 2715, 585, 782, 7684, 795, 284, 272, 267, 273, 267, 1422, 24126, 267, 562, 9368, 264, 1422, 1299, 31386, 2889, 323, 3709, 329, 284, 272, 11892, 333, 1422, 13992, 346, 303, 4153, 3847, 11583, 19553, 1422, 19008, 1535, 9368, 21174, 3847, 263, 272, 3887, 13064, 343, 4153, 2431, 8203, 333, 1422, 754, 25410, 8679, 1607, 3788, 3020, 1256, 952, 1269, 343, 259, 5673, 593, 1269, 333, 10608, 1284, 786, 3442, 1269, 343, 24210, 5332, 259, 971, 602, 4399, 3847, 263, 272, 3887, 13064, 343, 5332, 4153, 2431, 8203, 333, 259, 814, 513, 1875, 13700, 20190, 3970, 269, 1280, 713, 3483, 267, 649, 1577, 454, 2330, 343, 5332, 284, 10559, 8421, 1422, 3847, 16216, 13064, 343, 4153, 2431, 264, 10954, 8421, 562, 24210, 10954, 8421, 562, 1547, 16465, 10190, 454, 11377, 13992, 346, 303, 4153, 3847, 29687, 5332, 1422, 19008, 1535, 5332, 9368, 21174, 3847, 263, 272, 3887, 13064, 343, 5332, 4153, 2431, 8203, 333, 7807, 3847, 263, 272, 10559, 2765, 346, 324, 13064, 343, 12453, 333, 4153, 2431, 8203, 333, 1422, 21375, 552, 13064, 324, 13064, 343, 3686, 16465, 553, 1269, 333, 1422, 21375, 1422, 13727, 10608, 769, 824, 1913, 2676, 11377, 13992, 346, 303, 4153, 3847, 346, 300, 5332, 1422, 19008, 1535, 10954, 8421, 562, 9368, 348, 1422, 21375, 552, 13064, 324, 13064, 343, 3686, 1547, 16465, 1103, 1880, 267, 1269, 300, 5332, 259, 9428, 899, 4399, 8421, 562, 259, 607, 1269, 333, 1422, 21375, 1422, 13727, 16859, 1012, 476, 14756, 509, 18777, 350, 28786, 19540, 503, 347, 421, 504, 493, 10951, 374, 26166, 22909, 494, 30853, 4970, 504, 28786, 19540, 503, 560, 27181, 2079, 28786, 19540, 503, 347, 11514, 4740, 5384, 5685, 924, 4460, 990, 932, 1622, 692, 4131, 1269, 7268, 29604, 267, 1422, 24837, 346, 293, 9574, 1422, 13992, 346, 303, 348, 7751, 581, 519, 5506, 2230, 269, 589, 4460, 990, 5832, 568, 513, 5311, 540, 9936, 1242, 4351, 4632, 4399, 3847, 346, 311, 4671, 9368, 13925, 339, 1422, 514, 1422, 10400, 346, 307, 22288, 609, 519, 865, 10777, 4460, 990, 3959, 267, 547, 581, 5189, 2630, 267, 1141, 4399, 10400, 346, 307, 4151, 568, 519, 4994, 1305, 269, 1879, 4399, 10400, 346, 307, 18098, 13992, 346, 301, 20954, 649, 20301, 519, 4351, 4632, 607, 4399, 3847, 346, 311, 5332, 9368, 13925, 333, 1422, 514, 1422, 13992, 346, 301, 3686, 8961, 543, 713, 568, 519, 2013, 602, 649, 786, 2015, 538, 713, 3184, 269, 1284, 8263, 602, 1269, 311 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 5067, 834, 298, 15546, 657, 257, 1310, 519, 13653, 540, 741, 15913, 1185, 6286, 585, 12138, 269, 6787, 610, 711, 17722, 5921, 547, 1711, 27421, 267, 646, 1185, 2944, 1175, 602, 269, 4329, 267, 17722, 1185, 13347, 1200, 4566, 547, 21821, 1200, 14552, 5351, 538, 713, 26035, 676, 5356, 12138, 540, 20703, 1601, 807, 519, 1688, 540, 7581, 641, 21358, 538, 7365, 563, 280, 269, 5637, 5900, 31647, 543, 623, 1301, 523, 542, 10353, 12138, 779, 19588, 693, 713, 942, 263, 278, 1040, 898, 1223, 581, 789, 10353, 519, 2856, 540, 513, 834, 12061, 5336, 3166, 20897, 257, 593, 519, 17599, 282, 811, 2693, 789, 22509, 1177, 513, 942, 950, 789, 1131, 3180, 519, 5354, 540, 1379, 267, 1185, 7581, 641, 21358, 7232, 543, 1200, 5067, 5030, 563, 1015, 269, 898, 568, 3810, 12691, 12138, 1131, 3479, 1273, 878, 728, 269, 769, 519, 10764, 540, 519, 1554, 267, 3661, 538, 519, 1659, 995, 10751, 602, 4553, 519, 1273, 878, 728, 729, 1360, 1483, 269, 634, 834, 30747, 569, 2201, 525, 2580, 849, 1572, 834, 763, 590, 8651, 2580, 1131, 711, 31799, 1273, 878, 728, 269, 634, 13909, 1223, 711, 723, 4847, 513, 2009, 1273, 878, 728, 547, 1831, 3751, 269, 1703, 1131, 711, 723, 1044, 2614, 1489, 547, 7753, 519, 25197, 566, 267, 2094, 1896, 1249, 687, 10353, 1010, 19588, 585, 3875, 4128, 563, 1556, 269, 5900, 31647, 729, 2663, 26722, 540, 931, 25378, 538, 519, 26923, 8276, 584, 1457, 282, 623, 1301, 523, 542, 729, 849, 14353, 855, 834, 659, 10181, 1540, 257, 5128, 676, 7432, 5900, 31647, 936, 547, 581, 13401, 267, 3976, 834, 2889, 1324, 257, 1010, 14017, 269, 898, 1223, 581, 11130, 602, 5900, 31647, 1185, 4487, 16490, 519, 3003, 26035, 267, 15691, 547, 1294, 519, 1439, 540, 17722, 543, 1287, 519, 1439, 540, 12138, 267, 3976, 8380, 5128, 538, 513, 3532, 2990, 607, 3204, 550, 547, 519, 10867, 10127, 534, 657, 267, 855, 602, 568, 1776, 2219, 1862, 7474, 12138, 1705, 711, 4283, 519, 16222, 609, 1010, 4651, 949, 723, 555, 342, 14975, 4566, 585, 513, 5595, 610, 17784, 26923, 15301, 279, 994, 1321, 269, 4173, 1580, 525, 267, 12138, 543, 27336, 4725, 30906, 267, 14930, 540, 17224, 22455, 267, 941, 849, 10353, 547, 519, 589, 6261, 6261, 19710, 267, 2094, 621, 2322, 873, 2417, 2476, 689, 519, 17599, 563, 2414, 1265, 519, 6010, 601, 5006, 5168, 267, 649, 3323, 609, 623, 9476, 534, 5362, 269, 6787, 610, 711, 646, 1185, 513, 2123, 30254, 585, 11318, 519, 3751, 267, 649, 666, 1095, 2541, 646, 4941, 547, 6146, 519, 4622, 543, 7639, 267, 2094, 646, 1185, 834, 1326, 12537, 257, 9640, 543, 10443, 689, 519, 6429, 269, 1677, 798, 713, 267, 646, 1131, 723, 547, 1205, 856, 540, 24765, 517, 282, 1310, 782, 646, 729, 1134, 8153, 267, 646, 1223, 711, 723, 18423, 543, 5030, 269, 634, 8136, 1131, 723, 18796, 1010, 2669, 607, 1175, 10751, 585, 11318, 741, 11221, 6205, 269, 630, 2304, 957, 1996, 519, 3751, 729, 606, 957, 1996, 519, 24765, 20897, 4658, 585, 519, 3751, 729, 519, 2123, 20032, 540, 519, 4658, 779, 786, 8094, 19185, 693, 519, 1249, 687, 1657, 267, 1896, 7653, 941, 2009, 912, 5331, 596, 616, 623, 9476, 534, 5362, 910, 596, 13842, 519, 3751, 543, 1616, 547, 6146, 1864, 267, 855, 596, 1810, 1406, 1616, 547, 5884, 269, 10493, 5362, 17066, 596, 543, 14767, 596, 3106, 538, 661, 7032, 4592, 269, 661, 7032, 4592, 3884, 1406, 1932, 2484, 2476, 267, 596, 1223, 4440, 1118, 621, 547, 661, 7032, 4592, 267, 855, 1131, 596, 581, 2922, 972, 286, 1403, 12138, 15068, 547, 1831, 3751, 267, 646, 1131, 581, 3808, 676, 2123, 22632, 543, 676, 1010, 522, 987, 607, 3751, 547, 1285, 3188, 17722, 779, 12638, 269, 1403, 646, 941, 711, 3751, 855, 3274, 15068, 267, 646, 1131, 1869, 581, 3808, 676, 2123, 22632, 547, 1285, 3188, 1010, 4651, 779, 2669, 267, 543, 646, 1131, 4440, 581, 5275, 25113, 538, 661, 7032, 4592, 5128, 269, 14348, 10493, 5362, 2149, 596, 1996, 12138, 267, 1200, 5067, 286, 16393, 1352, 2149, 596, 1996, 12138, 952, 12138, 2731, 4941, 547, 6146, 596, 286, 3502, 513, 1434, 914, 267, 865, 1256, 952, 10493, 5362, 15673, 539, 596, 267, 596, 8910, 4440, 711, 3398, 563, 3719, 1631, 267, 1139, 3151, 602, 12138, 8633, 1185, 14059, 596, 547, 6146, 1010, 4651, 269, 18833, 24765, 20897, 1876, 543, 22632, 543, 12138, 267, 543, 519, 1249, 602, 952, 12138, 1577, 596, 2661, 1310, 11318, 1010, 4651, 267, 12138, 5128, 1131, 581, 31081, 10696, 267, 1131, 596, 2161, 834, 8133, 22172, 3502, 2693, 256, 4746, 267, 1256, 1498, 596, 616, 14220, 609, 17722, 267, 596, 1522, 2601, 602, 267, 547, 11177, 707, 22632, 543, 2744, 12797, 538, 17722, 779, 4064, 267, 596, 666, 1631, 979, 547, 17722, 543, 2995, 1864, 602, 12138, 814, 6836, 547, 536, 11171, 596, 547, 6146, 1864, 269, 17722, 786, 1294, 596, 538, 513, 1007, 1769, 267, 707, 22632, 786, 581, 17468, 282, 17722, 786, 581, 1360, 18507, 547, 596, 585, 20392, 519, 30217, 748, 2470, 540, 1010, 5067, 269, 1656, 952, 17722, 568, 6236, 678, 27570, 5128, 540, 12138, 8633, 543, 10493, 5362, 267, 596, 723, 19942, 1864, 519, 3501, 1907, 563, 2252, 8069, 689, 30111, 4862, 15555, 712, 540, 707, 771, 20880, 267, 789, 1522, 581, 15673, 539, 547, 1935, 596, 269, 2659, 1101, 2243, 1131, 581, 834, 5804, 7247, 543, 875, 1705, 596, 5873, 713, 15555, 712, 8119, 268, 513, 1360, 1271, 2243, 256, 634, 8069, 689, 30111, 20726, 602, 952, 596, 6146, 3751, 17722, 267, 519, 14655, 3751, 1131, 581, 1360, 21464, 538, 1010, 7071, 540, 707, 10121, 957, 547, 2576, 945, 267, 1310, 782, 267, 1223, 581, 2808, 707, 3020, 3751, 630, 7290, 528, 1227, 1040, 1411, 1131, 917, 519, 14655, 3751, 814, 13284, 1127, 543, 1379, 3564, 3661, 269, 30111, 568, 513, 1279, 1259, 689, 24765, 517, 269, 31849, 540, 16380, 616, 972, 607, 24271, 523, 2456, 543, 616, 3257, 1360, 1134, 585, 2933, 269, 12138, 1131, 10691, 581, 2111, 547, 3914, 596, 972, 269, 4634, 952, 646, 2968, 3751, 267, 646, 7948, 1406, 7654, 14710, 519, 1522, 540, 519, 2898, 14655, 7276, 269, 6733, 338, 899, 513, 1434, 914, 267, 713, 835, 269, 1411, 8910, 4440, 3398, 519, 14655, 4154, 543, 1589, 3054, 593, 519, 1259, 547, 513, 26752, 2104, 268, 952, 268, 543, 621, 779, 513, 2462, 17692, 267, 596, 666, 3605, 519, 2626, 547, 707, 1101, 2243, 256, 3245, 602, 2243, 782, 1866, 786, 1246, 2483, 2005, 568, 12691, 602, 18603, 729, 3238, 267, 693, 2547, 2047, 269, 898, 568, 16143, 267, 2705, 267, 602, 930, 15555, 712, 540, 513, 2009, 4729, 1185, 20335, 1472, 269, 634, 23723, 1014, 11347, 1500, 2386, 547, 14773, 602, 4896, 945, 2800, 539, 17722, 1131, 711, 581, 1500, 10950, 538, 18603, 630, 10472, 4805, 1131, 723, 1500, 803, 1376, 547, 1413, 1472, 256, 5148, 7132, 267, 623, 9476, 534, 5362, 1131, 917, 646, 1131, 711, 581, 2111, 547, 12404, 9170, 855, 519, 14655, 10504, 269, 18603, 729, 711, 513, 834, 338, 12522, 2777, 257, 585, 24765, 20897, 911, 6002, 563, 3086, 267, 1139, 3151, 930, 8284, 24765, 517, 2103, 1935, 596, 269, 1358, 616, 25091, 267, 789, 1174, 1018, 814, 5949, 543, 707, 771, 320, 977, 542, 269, 1358, 616, 267, 32047, 267, 1360, 3810, 5116, 269, 1358, 723, 1185, 930, 942, 547, 1831, 31235, 609, 596, 267, 547, 1865, 1141, 17722, 568, 18188, 267, 1018, 519, 2104, 5526, 547, 581, 7432, 883, 281, 609, 519, 589, 6261, 6261, 19710, 16119, 538, 1747, 267, 621, 568, 2312, 602, 519, 1379, 543, 3310, 540, 930, 1249, 687, 616, 593, 519, 530, 2033, 267, 519, 3463, 540, 2112, 1223, 1291, 547, 1312, 17722, 543, 12138, 12955, 267, 543, 945, 267, 1287, 267, 3587, 519, 1379, 693, 519, 17599, 888, 3086, 267, 540, 1576, 267, 1480, 3527, 616, 538, 1410, 2364, 762, 543, 1419, 979, 11207, 14669, 547, 4376, 649, 1522, 15475, 610, 6427, 269, 1656, 6236, 519, 2188, 267, 621, 568, 3592, 811, 10257, 547, 2307, 945, 4769, 1406, 2901, 1616, 17722, 4666, 267, 610, 917, 827, 513, 4729, 547, 6146, 1864, 256, 1809, 3168, 693, 519, 1439, 2164, 2337, 538, 7421, 519, 7399, 563, 5804, 513, 13099, 344, 6350, 23650, 267, 649, 723, 930, 1702, 540, 519, 6364, 540, 519, 4693, 540, 1346, 1459, 693, 17722, 779, 12638, 269, 15526, 1459, 729, 2808, 513, 2009, 14353, 676, 519, 24765, 20897, 13909, 543, 2877, 547, 581, 23498, 676, 873, 267, 1519, 12138, 8633, 269, 901, 729, 741, 2357, 18743, 630, 553, 1454, 607, 649, 723, 540, 621, 2567, 1346, 538, 519, 16222, 543, 519, 3751, 779, 7390, 1218, 941, 711, 16944, 630, 28387, 789, 1336, 12138, 834, 2254, 16944, 20257, 634, 2820, 10719, 729, 16961, 1881, 585, 2542, 519, 9631, 839, 607, 7957, 24461, 585, 17722, 543, 7551, 711, 9963, 1864, 602, 1945, 1360, 3983, 729, 827, 547, 4755, 269, 5565, 14930, 540, 17224, 641, 657, 630, 15463, 1580, 525, 543, 27336, 4725, 30906, 264, 910, 4277, 569, 267, 741, 7015, 267, 12138, 267, 729, 1101, 547, 605, 8010, 12138, 8633, 607, 3751, 910, 941, 1336, 16944, 540, 931, 25378, 609, 623, 9476, 534, 5362, 543, 941, 13401, 269, 623, 9476, 534, 5362, 779, 1560, 729, 16961, 1881, 269, 4173, 1580, 525, 543, 27336, 4725, 30906, 941, 7166, 9384, 4716, 569, 267, 2059, 609, 519, 834, 1326, 12537, 257, 9640, 945, 941, 849, 16363, 16944, 585, 741, 851, 538, 519, 12638, 540, 519, 3751, 269, 5900, 31647, 267, 945, 729, 538, 5607, 19724, 609, 623, 1301, 523, 542, 267, 729, 1336, 16944, 540, 24242, 543, 28715, 267, 855, 729, 23689, 1354, 646, 1223, 581, 13401, 563, 8867, 517, 333, 9850, 543, 3131, 323, 27364, 553, 267, 1498, 1336, 834, 2254, 16944, 2580, 941, 1629, 6838, 689, 519, 10610, 31384, 543, 941, 711, 556, 2987, 26061, 2394, 1454, 2663, 15301, 280, 264, 623, 1301, 523, 542, 729, 2016, 513, 2990, 2673, 547, 12138, 607, 606, 25129, 543, 2489, 267, 855, 713, 729, 4440, 1759, 593, 606, 740, 720, 2147, 547, 834, 16605, 707, 2828, 2673, 267, 707, 14763, 6251, 8487, 5804, 519, 18631, 1344, 267, 649, 2709, 513, 2009, 9183, 281, 623, 1301, 523, 542, 543, 5900, 31647, 267, 538, 5607, 19724, 267, 941, 14059, 676, 14655, 8069, 269, 26681, 540, 891, 2367, 3226, 6462, 930, 540, 17722, 779, 4914, 4507, 267, 543, 9444, 729, 1634, 547, 1489, 12138, 269, 1358, 949, 723, 1287, 1071, 3200, 569, 29211, 14655, 8069, 538, 32296, 519, 14930, 540, 17224, 22455, 267, 945, 941, 16219, 789, 1131, 581, 6462, 267, 609, 14655, 4154, 267, 607, 3204, 757, 547, 10127, 534, 657, 267, 17722, 779, 5067, 676, 7581, 641, 21358, 7232, 269, 634, 14930, 540, 17224, 22455, 1131, 723, 1044, 6854, 23387, 602, 5900, 31647, 543, 623, 1301, 523, 542, 941, 3238, 538, 519, 4890, 19420, 3801, 267, 855, 941, 4440, 5143, 602, 267, 547, 2057, 513, 24765, 20897, 3540, 2112, 267, 519, 14655, 10504, 1131, 1287, 21907, 4708, 1063, 519, 1249, 687, 269, 634, 14930, 540, 17224, 22455, 1131, 3494, 602, 267, 609, 2933, 607, 3204, 757, 543, 519, 834, 6588, 526, 18876, 257, 540, 5900, 31647, 630, 663, 3976, 267, 623, 1301, 523, 542, 264, 593, 519, 17599, 267, 606, 19710, 1223, 581, 3710, 1063, 519, 1034, 3532, 1249, 687, 269, 2037, 4289, 532, 519, 9316, 540, 623, 9476, 534, 5362, 267, 896, 519, 1368, 1047, 540, 11505, 267, 4173, 1580, 525, 543, 27336, 4725, 30906, 630, 663, 7654, 12138, 267, 945, 3533, 23564, 547, 519, 10888, 2427, 543, 949, 1256, 723, 1449, 1881, 1996, 1010, 1378, 14552, 547, 4688, 1010, 1272, 264, 28367, 519, 2669, 540, 17722, 269, 5900, 31647, 543, 623, 1301, 523, 542, 267, 538, 5607, 19724, 267, 4440, 5156, 2933, 3544, 27421, 269, 1358, 949, 723, 849, 5433, 602, 267, 538, 519, 2680, 540, 5821, 267, 519, 14930, 540, 17224, 22455, 1131, 581, 1336, 16944, 543, 581, 13401, 267, 6028, 1100, 13009, 1394, 547, 873, 543, 6028, 519, 17599, 1930, 585, 519, 2921, 269, 898, 568, 849, 2693, 602, 267, 1185, 519, 4729, 16309, 607, 5551, 267, 4173, 1580, 525, 543, 27336, 4725, 30906, 1131, 711, 723, 10150, 519, 3204, 1890, 585, 1279, 267, 855, 1131, 723, 10375, 569, 5747, 267, 6028, 5900, 31647, 543, 623, 1301, 523, 542, 267, 538, 1198, 267, 547, 4341, 269, 1879, 5900, 31647, 729, 28715, 267, 623, 1301, 523, 542, 3533, 23564, 5011 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 4019, 5574, 547, 2898, 13602, 543, 1118, 930, 540, 519, 7403, 593, 1367, 4054, 563, 273, 269, 274, 2480, 2100, 540, 519, 5530, 454, 763, 9165, 540, 519, 1353, 2882, 519, 2551, 689, 799, 519, 4559, 540, 8343, 1058, 581, 5697, 269, 634, 1523, 540, 513, 834, 516, 5570, 754, 566, 6389, 257, 910, 519, 2551, 585, 799, 519, 8753, 540, 519, 1353, 616, 547, 581, 4143, 910, 568, 2629, 563, 5194, 1271, 2460, 568, 519, 2450, 540, 519, 7634, 269, 898, 568, 1898, 267, 1354, 25054, 593, 606, 7634, 267, 547, 723, 606, 7447, 540, 519, 8856, 540, 519, 4267, 602, 786, 581, 5833, 689, 519, 7634, 269, 2311, 519, 14724, 1377, 519, 8856, 1223, 581, 6027, 676, 519, 3044, 5470, 540, 513, 3017, 1063, 1611, 2418, 267, 610, 1063, 1079, 17114, 269, 1717, 267, 621, 1223, 849, 1331, 8856, 540, 9193, 540, 2203, 6724, 630, 6233, 540, 2208, 267, 13829, 593, 942, 610, 593, 3114, 5834, 264, 610, 2551, 6724, 630, 2889, 15251, 540, 27442, 1076, 2244, 1031, 3927, 267, 6871, 2333, 538, 19718, 540, 1007, 4066, 676, 6705, 1916, 4462, 1652, 519, 7634, 568, 4397, 547, 581, 5827, 540, 3246, 4267, 547, 606, 11807, 4110, 540, 8856, 621, 1058, 711, 581, 3323, 563, 273, 269, 275, 12020, 606, 15331, 454, 7659, 4162, 540, 606, 4603, 616, 519, 3903, 540, 8097, 5574, 547, 14183, 519, 1353, 6859, 543, 540, 519, 4559, 547, 799, 519, 5574, 616, 547, 581, 4294, 269, 1703, 1058, 581, 930, 1852, 540, 2959, 540, 8390, 1063, 519, 4559, 910, 713, 568, 2356, 6913, 676, 17527, 269, 589, 4351, 5314, 10325, 568, 1031, 547, 21138, 519, 5574, 547, 519, 8097, 4559, 269, 1280, 519, 5574, 267, 519, 2055, 1331, 454, 268, 1018, 2126, 2497, 267, 952, 1022, 267, 568, 547, 581, 1031, 888, 268, 666, 513, 27353, 2126, 2497, 581, 1031, 547, 2626, 2055, 7561, 267, 543, 952, 865, 267, 875, 888, 268, 875, 1058, 2157, 540, 513, 11050, 3815, 581, 6074, 888, 6944, 1503, 5574, 1683, 1666, 3894, 281, 519, 6476, 540, 824, 5574, 609, 513, 15977, 568, 1419, 606, 6662, 269, 1717, 267, 8060, 616, 3274, 5574, 267, 543, 741, 4527, 543, 20487, 1590, 581, 20582, 1175, 899, 1022, 824, 2126, 269, 2201, 9013, 8390, 267, 519, 2055, 1331, 454, 268, 1548, 1106, 540, 17527, 1058, 581, 1031, 630, 4565, 4169, 540, 811, 982, 5216, 4559, 616, 1419, 1932, 2462, 547, 581, 3608, 25145, 268, 1548, 3606, 1344, 827, 519, 8097, 4559, 630, 30831, 264, 1058, 581, 6592, 888, 1103, 2489, 513, 1434, 8097, 1374, 5849, 602, 519, 1198, 540, 5574, 666, 581, 9674, 689, 519, 834, 333, 7572, 766, 257, 2360, 540, 5054, 609, 5021, 4398, 269, 769, 8888, 606, 4603, 267, 27353, 2126, 2497, 1058, 581, 9833, 607, 519, 2343, 269, 4746, 267, 6272, 1210, 7161, 609, 7864, 4559, 982, 972, 616, 5574, 1058, 581, 538, 1455, 946, 563, 1103, 1978, 2010, 540, 4693, 972, 616, 1880, 3344, 540, 1374, 799, 616, 1271, 269, 1280, 1383, 912, 268, 30495, 610, 26216, 3099, 8062, 910, 2015, 1210, 13672, 17393, 793, 338, 563, 268, 10960, 27892, 8062, 910, 891, 616, 2693, 547, 4125, 2789, 2157, 540, 8390, 281, 2516, 267, 2043, 267, 942, 5036, 540, 7422, 1369, 2831, 563, 268, 12524, 6901, 910, 2027, 3007, 1058, 581, 2016, 547, 27353, 3889, 585, 5574, 563, 268, 2201, 1922, 1301, 8062, 910, 2327, 11347, 543, 14477, 5697, 4609, 267, 2614, 5574, 267, 2614, 2949, 18643, 282, 855, 972, 568, 1100, 10421, 585, 1142, 3135, 547, 723, 519, 1482, 1374, 2497, 563, 273, 269, 276, 12020, 513, 11752, 454, 763, 1292, 2609, 540, 519, 1374, 540, 513, 5619, 616, 513, 1134, 27059, 3732, 543, 513, 18102, 630, 528, 824, 1239, 4015, 5650, 264, 799, 25389, 519, 1353, 6859, 269, 14265, 1017, 4170, 540, 519, 3732, 1374, 616, 2099, 520, 4369, 543, 930, 3693, 540, 4351, 1145, 538, 519, 5542, 5650, 269, 1452, 2356, 17538, 513, 991, 585, 930, 1785, 1005, 540, 519, 5619, 267, 1419, 5473, 32756, 267, 547, 2327, 6041, 540, 519, 2101, 15523, 540, 519, 2551, 269, 5548, 756, 4733, 630, 17882, 1738, 264, 5542, 540, 5439, 666, 2285, 267, 538, 2489, 267, 519, 6574, 1761, 6111, 540, 2949, 4267, 855, 814, 519, 19319, 540, 4758, 1100, 1344, 593, 8856, 563, 5278, 4351, 3693, 540, 5542, 568, 2877, 952, 649, 616, 547, 917, 875, 5730, 616, 519, 4267, 269, 769, 1034, 4052, 3871, 24159, 610, 1617, 626, 720, 10386, 786, 581, 519, 1034, 1942, 15807, 1505, 540, 10386, 269, 589, 3666, 540, 9836, 543, 4351, 2609, 538, 10386, 4640, 568, 2356, 2556, 269, 769, 1617, 626, 720, 10386, 519, 4102, 610, 3119, 4559, 1419, 723, 547, 581, 5697, 1625, 1842, 1947, 267, 855, 519, 10700, 10386, 4559, 616, 1287, 5697, 693, 4351, 1369, 3119, 4559, 563, 2690, 15977, 2090, 519, 4214, 540, 24534, 10386, 2127, 267, 32756, 10325, 543, 519, 4390, 585, 10128, 1239, 689, 9867, 2959, 616, 1271, 563, 1103, 2825, 10386, 267, 1141, 519, 8901, 3601, 540, 8390, 616, 606, 1271, 7156, 267, 519, 8901, 3892, 540, 5439, 1058, 1683, 1344, 827, 8390, 693, 1360, 1507, 9883, 267, 693, 1804, 9883, 543, 693, 835, 610, 1079, 13591, 9883, 563, 273, 269, 277, 4033, 9537, 540, 5530, 454, 1103, 22423, 2090, 267, 12681, 2090, 543, 811, 12170, 813, 26150, 1949, 519, 2489, 2035, 540, 6901, 543, 12220, 616, 4143, 4352, 519, 1880, 2143, 2409, 949, 711, 581, 10858, 269, 4935, 267, 2099, 520, 4369, 543, 930, 3693, 540, 4351, 5542, 616, 14909, 269, 898, 568, 849, 1271, 547, 723, 930, 1852, 267, 610, 693, 2547, 6284, 540, 1761, 2959, 540, 2101, 8390, 563, 5278, 2090, 849, 2154, 1569, 547, 22991, 6394, 1239, 267, 971, 607, 20296, 5638, 610, 19666, 11147, 269, 898, 568, 1271, 547, 13182, 602, 891, 1239, 616, 3617, 585, 519, 1382, 4305, 563, 274, 269, 634, 4578, 454, 274, 269, 272, 9537, 540, 20970, 454, 9288, 5501, 906, 666, 581, 1500, 538, 1082, 1114, 3029, 8151, 689, 6024, 7403, 540, 2168, 4162, 630, 7076, 267, 3259, 267, 5186, 5529, 2127, 264, 998, 12523, 630, 514, 4167, 338, 267, 17005, 4054, 1070, 8464, 540, 2068, 8515, 610, 2298, 540, 7031, 267, 547, 9811, 270, 7224, 10526, 630, 1372, 611, 267, 10351, 3990, 264, 610, 8456, 630, 3697, 267, 4782, 1040, 634, 2956, 540, 1519, 513, 1880, 6482, 814, 547, 581, 12290, 538, 519, 2796, 540, 519, 6859, 540, 519, 1382, 563, 2467, 616, 930, 2489, 2798, 799, 4019, 547, 782, 13753, 563, 268, 1280, 513, 2016, 1374, 267, 4879, 538, 519, 1106, 540, 6024, 6482, 786, 2285, 3152, 8856, 982, 10288, 8464, 267, 799, 786, 538, 2490, 2285, 3152, 8856, 982, 9811, 270, 7224, 6114, 630, 324, 3052, 269, 12035, 616, 811, 5730, 982, 1970, 270, 4364, 1756, 10774, 662, 2597, 5049, 1916, 268, 634, 1106, 4433, 264, 540, 6482, 5697, 1590, 581, 5827, 540, 4758, 4267, 540, 11807, 6111, 547, 519, 2055, 4280, 563, 268, 634, 3448, 8856, 540, 1114, 267, 4244, 6272, 585, 606, 7634, 568, 711, 4957, 676, 519, 1880, 1106, 540, 6482, 563, 274, 269, 273, 11814, 532, 519, 4578, 454, 10574, 4015, 3029, 786, 2356, 723, 547, 581, 5423, 585, 10916, 519, 7422, 269, 769, 1514, 12220, 267, 519, 1374, 543, 2361, 4152, 540, 519, 18102, 616, 2565, 3334, 540, 519, 1353, 1544, 269, 769, 6901, 543, 22423, 2090, 267, 2241, 1239, 4015, 3029, 1419, 3411, 823, 563, 274, 269, 274, 4578, 28678, 543, 5004, 454, 8512, 540, 519, 7156, 540, 7403, 568, 519, 2243, 540, 875, 519, 1239, 616, 547, 581, 7307, 269, 2311, 930, 3942, 267, 519, 1239, 786, 7363, 581, 4371, 538, 835, 610, 811, 2780, 1239, 6119, 269, 898, 568, 1271, 602, 519, 1106, 540, 519, 1239, 6119, 543, 519, 3301, 547, 581, 1031, 585, 1239, 7127, 267, 2359, 543, 2079, 616, 5462, 1354, 1239, 4015, 5956, 563, 10574, 616, 3006, 6394, 2047, 883, 513, 15409, 2780, 269, 7316, 1239, 4015, 9212, 616, 1031, 267, 519, 1239, 7127, 1058, 581, 2944, 2047, 689, 891, 9212, 269, 10515, 3539, 883, 2126, 1931, 610, 834, 8518, 9819, 257, 540, 4729, 2418, 610, 2418, 538, 4846, 270, 3873, 1058, 711, 581, 15868, 267, 1991, 547, 519, 1239, 7127, 269, 2353, 1239, 1058, 581, 9411, 281, 952, 7403, 616, 1271, 2614, 547, 581, 1500, 267, 789, 616, 1271, 2614, 547, 581, 2780, 2213, 269, 5525, 1141, 834, 3286, 519, 1034, 1271, 4632, 616, 9411, 1101, 257, 23366, 1267, 538, 513, 811, 2352, 1239, 7127, 1184, 543, 519, 6967, 4632, 616, 1287, 10355, 2780, 2213, 563, 10574, 7127, 1058, 7363, 946, 513, 1062, 602, 814, 6703, 585, 15418, 269, 17677, 7127, 1058, 581, 2808, 267, 1317, 621, 568, 1419, 1447, 942, 10438, 543, 1447, 5470, 17376, 821, 982, 824, 1949, 585, 1239, 10992, 563, 2005, 568, 14909, 547, 1246, 519, 2596, 3741, 540, 1434, 6538, 2359, 269, 769, 930, 2090, 519, 2359, 568, 513, 24735, 3942, 267, 5473, 2241, 14759, 540, 519, 1239, 883, 519, 4559, 585, 2079, 269, 898, 666, 267, 2705, 267, 1459, 1483, 2591, 267, 3226, 538, 1617, 626, 720, 12220, 610, 538, 3662, 267, 29436, 1150, 2722, 610, 6404, 5186, 6137, 6901, 269, 589, 2489, 4341, 568, 547, 3490, 519, 2359, 593, 513, 3126, 540, 5752, 12981, 267, 2864, 982, 1210, 2759, 7146, 1790, 4292, 2409, 269, 634, 8545, 1419, 1267, 538, 2789, 12215, 540, 519, 1239, 538, 1114, 5933, 540, 519, 1184, 267, 799, 1118, 621, 1360, 2352, 547, 2953, 1022, 6959, 602, 616, 2663, 4362, 950, 519, 1239, 616, 21845, 563, 1103, 713, 3296, 267, 811, 982, 3105, 3283, 267, 596, 949, 7237, 14542, 8579, 2474, 269, 1452, 1058, 3746, 1047, 602, 972, 616, 3344, 540, 1007, 8579, 12191, 689, 799, 596, 666, 4324, 267, 609, 3617, 5796, 563, 275, 269, 272, 19461, 2079, 281, 21741, 1637, 543, 11822, 28977, 454, 2690, 6901, 267, 3355, 9382, 2356, 1331, 2241, 9184, 1637, 540, 519, 1239, 538, 2126, 1931, 267, 609, 5758, 7194, 267, 971, 607, 1611, 2418, 269, 1280, 12220, 267, 2241, 7515, 616, 3812, 267, 1419, 6029, 519, 2164, 547, 1142, 2243, 538, 2490, 269, 1452, 3355, 2164, 616, 1152, 14356, 585, 2079, 267, 789, 616, 849, 513, 27402, 540, 519, 1239, 10992, 1184, 563, 2005, 568, 1271, 547, 10646, 1063, 834, 30161, 528, 2218, 12449, 2580, 799, 616, 17298, 693, 713, 3942, 267, 543, 834, 335, 19948, 12449, 2580, 5018, 538, 519, 1985, 3296, 269, 4112, 528, 2218, 12449, 267, 971, 607, 14649, 30831, 610, 4216, 30831, 267, 616, 547, 948, 519, 25566, 538, 1620, 519, 1239, 267, 1247, 6881, 12449, 616, 547, 948, 547, 1459, 519, 1271, 2164, 547, 1866, 563, 4415, 930, 12220, 267, 1034, 540, 519, 2079, 949, 2874, 540, 519, 7041, 540, 3617, 3818, 3118, 7515, 267, 4758, 12523, 610, 21159, 267, 610, 1312, 269, 6970, 1081, 1590, 581, 27361, 950, 9306, 21159, 267, 1818, 2312, 1312, 519, 2949, 1297, 540, 5619, 17013, 543, 519, 1297, 945, 15527, 547, 519, 1808, 2243, 267, 607, 1134, 607, 10834, 799, 568, 1031, 607, 519, 14009, 563, 275, 269, 273, 1323, 26087, 532, 17796, 540, 7352, 566, 454, 8512, 21871, 585, 8097, 1239, 267, 606, 1271, 5057, 540, 519, 2079, 540, 7403, 568, 1419, 606, 2079, 540, 13065, 630, 3198, 23701, 1070, 519, 3483, 540, 799, 568, 547, 4990, 856, 519, 3448, 2956, 540, 1114, 3123, 540, 8390, 269, 1280, 2241, 1374, 3889, 267, 519, 30654, 3274, 21410, 519, 18304, 540, 10945, 585, 7161, 267, 5574, 267, 3092, 269, 543, 1287, 2488, 7515, 540, 1797, 543, 3044, 6959, 267, 519, 4806, 540, 7664, 1373, 1129, 14006, 539, 676, 519, 3448, 7306, 540, 1611, 10945, 538, 519, 30654, 269, 1280, 811, 1950, 1374, 3889, 630, 514, 14814, 3625, 6272, 267, 2789, 1377, 1344, 264, 519, 1523, 540, 30654, 3788, 519, 1482, 267, 3246, 3448, 8390, 30289, 547, 1114, 2959, 543, 2126, 1797, 14661, 585, 3604, 1063, 7161, 269, 769, 2090, 609, 1447, 6101, 2497, 621, 949, 581, 3617, 547, 8237, 909, 519, 8390, 1063, 519, 1585, 3123, 676, 9695, 610, 267, 950, 972, 616, 2789, 2157, 540, 8390, 267, 676, 1210, 513, 3532, 1007, 1505, 267, 1634, 607, 31087, 299, 563, 763, 1880, 1106, 540, 6482, 786, 711, 4043, 547, 7369, 713, 2596, 2497, 540, 519, 2079, 540, 8390, 267, 4352, 1141, 1875, 9762, 514, 6681, 3029, 540, 6482, 616, 1031, 519, 946, 540, 2489, 2213, 5276, 3631, 630, 320, 1920, 540, 3631, 799, 2882, 2845, 15035, 3631 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 454, 30357, 6062, 344, 541, 631, 267, 11023, 341, 31381, 700, 267, 9105, 926, 717, 267, 3171, 714, 328, 589, 267, 4498, 21105, 631, 267, 631, 1662, 327, 14508, 22085, 267, 13850, 5362, 341, 663, 681, 630, 1001, 274, 264, 634, 1198, 540, 6171, 595, 543, 552, 21455, 593, 4887, 3441, 543, 19842, 2566, 538, 4775, 9845, 281, 513, 4791, 4693, 269, 2271, 808, 16473, 2405, 476, 275, 263, 11045, 331, 476, 272, 2567, 306, 1626, 454, 307, 9476, 330, 11253, 23404, 630, 1220, 278, 264, 14600, 334, 304, 1700, 320, 26503, 2389, 1173, 9643, 15934, 269, 9517, 2607, 338, 476, 1015, 263, 277, 2567, 274, 4200, 1700, 31404, 454, 5938, 345, 2763, 595, 267, 4936, 10314, 966, 267, 2677, 321, 1846, 10790, 267, 674, 611, 7236, 13382, 267, 19186, 1512, 334, 631, 267, 674, 822, 16619, 717, 267, 595, 545, 559, 3999, 590, 267, 29813, 10730, 19294, 267, 5651, 321, 573, 18223, 966, 267, 31762, 638, 320, 595, 267, 10753, 1030, 2401, 590, 630, 1001, 278, 264, 6520, 23938, 2530, 540, 744, 5183, 272, 538, 4887, 5222, 4887, 2527, 267, 10894, 27921, 267, 11528, 6553, 267, 543, 25853, 6845, 525, 12412, 269, 8426, 5450, 21966, 476, 1839, 263, 277, 2567, 15389, 275, 1700, 15946, 280, 454, 308, 332, 753, 10798, 320, 589, 267, 16114, 1638, 328, 717, 267, 2473, 773, 654, 267, 1656, 619, 5459, 9823, 267, 1234, 1731, 523, 22804, 267, 29485, 8121, 630, 1001, 275, 264, 2637, 13443, 7393, 24197, 15934, 2534, 10607, 4887, 1599, 538, 10172, 269, 28540, 14844, 331, 6298, 2233, 476, 9340, 263, 5655, 2567, 13923, 2004, 1700, 13923, 4649, 454, 309, 553, 559, 13403, 589, 267, 32617, 14873, 589, 267, 11709, 3816, 5443, 670, 267, 11709, 14216, 2725, 592, 523, 808, 295, 267, 700, 1046, 514, 700, 267, 27672, 517, 17985, 267, 5062, 288, 6113, 548, 589, 267, 674, 4954, 30742, 29273, 267, 12722, 631, 297, 630, 1220, 277, 264, 5131, 9097, 5108, 676, 20258, 4887, 540, 2937, 543, 2025, 8983, 281, 1198, 540, 4579, 850, 2534, 269, 28544, 8426, 476, 276, 263, 273, 2567, 11820, 1700, 14056, 454, 309, 553, 559, 13403, 589, 267, 12722, 631, 297, 630, 1001, 274, 264, 10020, 540, 19535, 5135, 2249, 538, 519, 26843, 20344, 2938, 538, 10172, 4887, 269, 5131, 7101, 545, 22776, 2405, 476, 4792, 281, 28766, 1700, 26825, 454, 310, 531, 8725, 808, 291, 630, 1001, 273, 264, 590, 2117, 13449, 807, 538, 4587, 4079, 269, 4354, 337, 25709, 28039, 15436, 565, 476, 2190, 263, 277, 2567, 277, 2537, 454, 310, 601, 577, 21191, 267, 20388, 902, 589, 267, 22398, 4660, 16951, 661, 267, 16164, 1676, 808, 267, 6008, 1407, 595, 297, 630, 1001, 280, 264, 9061, 22891, 12205, 1063, 8192, 15934, 8324, 595, 267, 661, 543, 25558, 31734, 703, 1389, 543, 26878, 13449, 545, 17523, 538, 2021, 9907, 476, 1240, 1700, 8064, 1296, 269, 2836, 322, 604, 570, 22568, 2271, 476, 11793, 281, 272, 1700, 1321, 454, 313, 29697, 918, 267, 2098, 29697, 10648, 267, 18961, 667, 267, 1924, 784, 962, 267, 21960, 330, 20724, 267, 5576, 14525, 623, 310, 267, 590, 345, 16587, 670, 295, 630, 1220, 275, 264, 8426, 12656, 1889, 762, 26733, 14434, 6098, 547, 6418, 24197, 9245, 21391, 24197, 11926, 267, 19842, 1591, 2669, 267, 543, 17777, 325, 4288, 5945, 269, 808, 22776, 6314, 476, 29344, 263, 3451, 2567, 31798, 11025, 1700, 31798, 3445, 454, 313, 17924, 808, 267, 700, 26820, 2098, 267, 808, 807, 808, 267, 16441, 808, 299, 267, 2473, 26820, 1627, 630, 1001, 280, 264, 634, 2360, 540, 759, 591, 520, 1503, 8023, 543, 3635, 2866, 593, 519, 20258, 4887, 1599, 543, 13973, 727, 540, 9907, 14148, 269, 25398, 297, 476, 278, 15545, 324, 278, 866, 280, 454, 313, 16852, 962, 267, 20568, 2473, 267, 667, 532, 2473, 267, 15651, 674, 267, 717, 1263, 2473, 630, 1001, 280, 264, 20052, 558, 699, 543, 922, 1909, 538, 519, 10172, 11444, 281, 22007, 558, 699, 2110, 2287, 267, 1591, 6845, 525, 12412, 543, 26503, 14524, 269, 4437, 690, 518, 26585, 476, 736, 263, 272, 2567, 272, 1700, 1626, 454, 313, 340, 334, 700, 267, 2441, 1993, 328, 18919, 267, 19159, 966, 303, 267, 645, 7776, 590, 267, 1849, 656, 517, 570, 299, 630, 1220, 275, 264, 26100, 2135, 4723, 848, 17466, 2706, 6448, 5305, 538, 20258, 4887, 269, 808, 10331, 4284, 2723, 476, 9032, 263, 273, 2567, 5780, 272, 1700, 5780, 279, 454, 306, 1440, 5424, 7186, 3788, 9243, 609, 2543, 547, 11758, 12302, 6811, 538, 3370, 7851, 543, 12250, 28930, 725, 563, 10666, 713, 2376, 454, 29241, 713, 2376, 454, 1320, 5448, 267, 589, 1421, 13019, 614, 5336, 11672, 267, 570, 1421, 1234, 1228, 267, 681, 11482, 269, 1696, 620, 269, 28080, 7566, 19535, 5135, 2249, 630, 4629, 306, 264, 547, 8396, 519, 2085, 5829, 2530, 540, 4887, 2527, 543, 1599, 269, 4437, 690, 518, 26585, 476, 2641, 267, 476, 275, 4037, 1700, 4366, 275, 630, 1708, 271, 1040, 4179, 2517, 8742, 3820, 270, 1015, 269, 1911, 278, 4882, 10755, 2420, 268, 22903, 268, 6021, 279, 10695, 14870, 454, 268, 1234, 5562, 5135, 2249, 454, 268, 7621, 573, 894, 2566, 0, 276, 7160, 540, 10241, 540, 5029, 2210, 28351, 3281, 2432, 1336, 538, 519, 17048, 563, 24309, 538, 2296, 454, 21511, 8447, 8629, 2008, 31871, 540, 9664, 1475, 276, 2918, 2008, 763, 6475, 4341, 568, 1031, 5097, 585, 17782, 543, 7787, 1944, 1106, 27909, 585, 7123, 4496, 23838, 267, 2523, 1418, 2210, 28351, 7135, 269, 634, 4341, 568, 1759, 593, 519, 1249, 602, 519, 32447, 16115, 540, 5912, 8407, 2874, 540, 8370, 32447, 10739, 1023, 630, 821, 521, 20771, 267, 1614, 533, 10739, 1023, 543, 2947, 546, 10739, 1023, 1070, 799, 15217, 666, 13918, 6168, 713, 1433, 269, 15190, 14029, 8084, 16544, 540, 769, 16955, 543, 5029, 2210, 28351, 3281, 2432, 281, 9828, 267, 10049, 543, 10241, 2488, 513, 2189, 2707, 540, 1344, 538, 606, 1271, 1858, 540, 7998, 269, 4595, 11730, 476, 2412, 519, 2470, 543, 31672, 540, 713, 3126, 723, 1044, 12012, 547, 2992, 513, 1689, 540, 8561, 2509, 1412, 20007, 2294, 267, 10049, 543, 10241, 23823, 16667, 526, 532, 811, 543, 811, 3730, 3156, 538, 5907, 267, 6419, 267, 610, 9804, 3457, 610, 538, 8596, 269, 5398, 6161, 585, 519, 1604, 814, 3366, 547, 519, 4473, 540, 3039, 7998, 267, 609, 519, 1843, 540, 10893, 1312, 1648, 946, 543, 3114, 3653, 538, 2872, 634, 5029, 2210, 28351, 11061, 540, 519, 21846, 5450, 1023, 267, 19549, 9990, 267, 676, 7917, 670, 269, 595, 4599, 29728, 11711, 12025, 281, 476, 278, 11586, 269, 5029, 2210, 28351, 11061, 10241, 476, 275, 5029, 2210, 28351, 7998, 3091, 513, 1259, 856, 540, 713, 14196, 269, 3414, 2027, 1418, 2210, 28351, 6547, 267, 513, 3099, 540, 3327, 28003, 7554, 666, 581, 4646, 543, 1256, 1979, 776, 331, 1949, 666, 581, 11593, 24704, 269, 901, 7872, 814, 9450, 519, 4586, 16391, 2210, 28351, 7135, 616, 3335, 5941, 538, 2474, 540, 519, 4496, 607, 2901, 1292, 31228, 7135, 610, 5912, 4496, 7135, 269, 634, 1292, 31228, 8407, 540, 1418, 2210, 28351, 7135, 616, 3335, 2808, 547, 581, 1346, 540, 519, 590, 1532, 6674, 630, 25364, 476, 272, 543, 476, 273, 264, 543, 519, 18219, 2609, 540, 519, 533, 1532, 6674, 630, 25364, 476, 1724, 1700, 1428, 264, 538, 519, 13350, 3349, 540, 2609, 269, 634, 5912, 8407, 1331, 1346, 2609, 538, 1547, 630, 8245, 517, 623, 269, 674, 4459, 518, 267, 1773, 11294, 636, 5450, 1023, 17352, 267, 5292, 269, 476, 4649, 630, 275, 1070, 5239, 267, 16532, 3245, 519, 8039, 281, 10955, 1243, 676, 717, 12728, 20795, 337, 731, 26566, 537, 523, 543, 715, 2812, 5450, 345, 2401, 9539, 565, 974, 267, 713, 1433, 6257, 2487, 8441, 538, 519, 1374, 267, 10282, 267, 2964, 2065, 1620, 543, 2564, 3498, 540, 1418, 2210, 28351, 7135, 269, 12882, 15662, 510, 15788, 713, 568, 606, 13181, 1433, 543, 786, 581, 20888, 563, 763, 26284, 328, 9466, 869, 454, 12218, 545, 3703, 1079, 3613, 6593, 8062, 21891, 454, 288, 15023, 3391, 547, 4579, 8115, 563, 20694, 6387, 25845, 1723, 267, 21549, 563, 297, 612, 3821, 4498, 686, 1115, 1007, 30256, 454, 303, 6974, 1533, 540, 1702, 540, 519, 5580, 5790, 476, 1960, 271, 454, 301, 7968, 4696, 5989, 2110, 3856, 2962, 1544, 630, 4306, 4338, 994, 1960, 277, 932, 760, 19369, 543, 10866, 10374, 6092, 11872, 454, 6798, 2762, 540, 5261, 1744, 1389, 335, 699, 563, 2419, 3420, 6555, 6541, 267, 476, 1960, 272, 268, 10844, 630, 2419, 3420, 6555, 6541, 3933, 1748, 10022, 994, 27751, 540, 519, 12233, 12912, 593, 865, 1454, 540, 519, 5048, 540, 519, 5518, 540, 519, 2136, 2276, 607, 12211, 547, 938, 4914, 1894, 454, 14112, 5758, 3864, 5359, 593, 10685, 5823, 267, 5179, 6174, 7816, 543, 6455, 5823, 267, 1426, 543, 16098, 5823, 454, 306, 6295, 3872, 9744, 2042, 454, 21104, 725, 540, 5029, 2210, 28351, 3281, 2432, 594, 342, 7776, 744, 2742, 324, 744, 2742, 324, 3194, 8534, 14898, 267, 3567, 10241, 540, 5029, 2210, 28351, 3281, 2432, 568, 513, 3102, 543, 538, 3829, 5619, 540, 782, 2487, 7835, 538, 1418, 2210, 28351, 7998, 269, 3848, 676, 3184, 267, 519, 2278, 11828, 476, 736, 540, 519, 1034, 1455, 2609, 1031, 538, 1418, 2210, 28351, 676, 281, 634, 1433, 568, 5497, 547, 581, 606, 4367, 547, 1418, 2210, 28351, 7998, 585, 1382, 2447, 1235, 538, 5214, 267, 2067, 1587, 543, 14453, 10991, 7998, 563, 10666, 519, 8191, 594, 342, 7776, 744, 2742, 324, 568, 519, 2278, 540, 10241, 540, 5029, 2210, 28351, 3281, 2432, 267, 3370, 676, 25067, 269, 10241, 540, 5029, 2210, 28351, 3281, 2432, 594, 342, 7776, 744, 2742, 324, 744, 2742, 324, 3194, 8534, 14898, 267, 3567, 10241, 540, 5029, 2210, 28351, 3281, 2432, 568, 513, 3102, 543, 538, 3829, 5619, 540, 782, 2487, 7835, 538, 563, 763, 3126, 11762, 538, 5029, 2210, 28351, 11061, 6799, 2565, 7650, 338, 540, 1382, 2164, 538, 1418, 2210, 28351, 7998, 269, 1306, 938, 1620, 540, 1418, 2210, 28351, 2497, 267, 3601, 543, 6127, 4679, 267, 1007, 2081, 616, 8118, 585, 519, 1374, 540, 1418, 2210, 28351, 7135, 543, 6547, 3358, 547, 563, 1103, 519, 4557, 1296, 2094, 519, 3621, 24117, 585, 519, 1374, 267, 10282, 543, 3498, 540, 22803, 543, 1418, 2210, 28351, 22169, 630, 296, 8008, 338, 264, 729, 1101, 12497, 2213, 267, 649, 723, 14754, 519, 1101, 17895, 894, 3408, 540, 594, 8008, 338, 607, 840, 15479, 832, 547, 1007, 2326, 267, 609, 3646, 2519, 593, 519, 1374, 543, 563, 16391, 2210, 28351, 3281, 2432, 616, 6675, 9967, 540, 606, 5214, 7636, 609, 835, 610, 811, 17285, 2609, 11368, 883, 741, 2497, 269, 1306, 519, 3601, 540, 891, 7135, 1831, 7805, 267, 741, 3156, 3136, 547, 1332, 547, 1331, 556, 698, 757, 267, 27857, 267, 543, 519, 2504, 540, 24470, 267, 31534, 267, 989, 10635, 8707, 338, 267, 543, 18068, 5061, 563, 21104, 725, 540, 5029, 2210, 28351, 3281, 2432, 594, 342, 7776, 744, 2742, 324, 744, 2742, 324, 3194, 8534, 14898, 267, 3567, 10241, 540, 5029, 2210, 28351, 3281, 2432, 568, 513, 3102, 543, 538, 3829, 5619, 540, 782, 2487, 7835, 538, 1418, 2210, 28351, 7998, 563, 6637, 676, 3184, 267, 519, 2278, 11828, 476, 736, 540, 519, 1034, 1455, 2609, 1031, 538, 1418, 2210, 28351, 7998, 269, 634, 3498, 540, 1418, 2210, 28351, 7998, 538, 4630, 18100, 3032, 4519, 568, 24482, 2810, 609, 519, 3728, 10605, 540, 6602, 540, 1007, 27857, 538, 519, 1858, 563, 763, 2640, 540, 1418, 2210, 28351, 3032, 4519, 723, 1631, 829, 3712, 730, 547, 782, 18125, 540, 519, 3114, 1158, 602, 12732, 689, 519, 32604, 540, 519, 2872, 547, 519, 1554, 3562, 6377, 1507, 4336, 946, 538, 5214, 269, 2060, 2487, 12531, 8720, 519, 5767, 3905, 3584, 543, 3384, 2127, 971, 607, 1418, 2210, 28351, 7998, 267, 1292, 1895, 7998, 543, 14270, 1343, 267, 1071, 268, 867, 1588, 7998, 543, 3156, 538, 1570, 2257, 267, 713, 3126, 568, 849, 540, 946, 547, 5214, 543, 1418, 2210, 28351, 2447, 1235, 267, 1979, 32554, 1235, 543, 2326, 2433, 590, 826, 9315, 1400, 563, 289, 3930, 8208, 577, 1107, 7905, 14022, 18372, 808, 269, 25048, 2041, 10098, 281, 968, 306, 11853, 543, 10241, 540, 5029, 2210, 28351, 3281, 2432, 892, 9677, 12011, 645, 269, 1744, 592, 262, 11017, 267, 13198, 6403, 21542, 631, 269, 6742, 1231, 267, 9400, 17566, 476, 272, 4864, 808, 563, 7775, 326, 269, 6314, 269, 2353, 23549, 270, 2171, 2125, 924, 269, 10758, 10323, 24086, 595, 3951 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 310, 663, 1359, 1472, 519, 12476, 645, 867, 523, 13639, 7467, 779, 1292, 2679, 568, 606, 3635, 538, 942, 2951, 2443, 1169, 1900, 3217, 596, 6251, 547, 519, 6370, 26753, 1141, 23671, 10692, 543, 3006, 5747, 563, 3849, 4784, 569, 267, 602, 4992, 513, 2370, 27615, 13135, 267, 855, 693, 713, 942, 540, 1032, 267, 621, 779, 513, 16994, 12576, 540, 519, 24279, 5215, 540, 23671, 1500, 585, 5191, 563, 7883, 1524, 835, 513, 529, 548, 543, 596, 3580, 1265, 513, 2361, 10051, 602, 729, 1031, 18246, 676, 519, 8225, 30609, 819, 776, 10414, 1282, 519, 3689, 2622, 2782, 269, 589, 10051, 593, 14743, 267, 621, 729, 1898, 547, 8023, 519, 10136, 563, 23175, 1524, 1776, 543, 596, 3580, 2097, 3068, 547, 3068, 609, 519, 581, 1335, 1054, 5822, 2622, 2782, 268, 5028, 10548, 7382, 267, 513, 476, 3953, 268, 2023, 28458, 602, 5645, 513, 12284, 540, 2947, 543, 729, 28459, 1540, 609, 513, 3670, 1790, 895, 630, 1492, 2597, 540, 519, 23292, 7387, 602, 729, 17991, 689, 621, 264, 1292, 22902, 543, 835, 3684, 7784, 563, 288, 1906, 3268, 20991, 543, 596, 3580, 1294, 4010, 875, 16081, 6244, 1272, 538, 513, 7382, 1223, 581, 269, 1703, 779, 513, 570, 268, 4649, 5101, 4436, 6370, 7382, 602, 1185, 851, 540, 922, 7387, 6569, 865, 8225, 10136, 1223, 1451, 1018, 729, 3330, 543, 875, 1655, 547, 771, 762, 835, 563, 10527, 1292, 1445, 540, 519, 9754, 568, 519, 1686, 540, 12476, 645, 867, 523, 267, 519, 4559, 602, 6039, 1934, 267, 585, 519, 942, 789, 941, 693, 12476, 645, 867, 523, 2223, 1767, 12448, 27068, 267, 8689, 540, 519, 9754, 269, 968, 763, 1764, 593, 519, 8225, 4108, 568, 1454, 3152, 982, 1004, 8275, 3034, 6097, 519, 1433, 267, 8805, 645, 867, 523, 281, 589, 11416, 540, 6796, 267, 8805, 645, 867, 523, 814, 1044, 513, 851, 540, 519, 8225, 4108, 5251, 2094, 476, 4489, 277, 267, 950, 11184, 6341, 24806, 267, 14012, 540, 20237, 543, 17740, 807, 693, 519, 942, 267, 10272, 519, 1858, 1472, 4911, 639, 593, 2904, 476, 278, 267, 476, 4489, 277, 267, 543, 4956, 267, 593, 519, 5544, 267, 519, 1655, 3135, 585, 519, 3786, 1131, 581, 538, 519, 24104, 1222, 540, 3647, 320, 269, 9050, 2395, 2663, 267, 593, 2904, 476, 1556, 267, 476, 4489, 277, 267, 519, 6554, 540, 4516, 9516, 519, 1269, 14690, 267, 8146, 269, 3953, 621, 1131, 1942, 547, 3617, 519, 2244, 563, 17746, 2315, 3459, 538, 7118, 652, 267, 543, 593, 5147, 476, 1556, 267, 476, 4489, 277, 267, 8805, 645, 867, 523, 13166, 8118, 563, 3528, 519, 1439, 540, 519, 3689, 2622, 2782, 267, 827, 476, 4968, 267, 1822, 7980, 1185, 1044, 8036, 693, 645, 867, 523, 563, 5415, 982, 3368, 540, 519, 7980, 945, 6039, 538, 519, 3689, 543, 5822, 2622, 12668, 4607, 2866, 693, 8805, 645, 867, 523, 269, 634, 2012, 729, 4957, 547, 8225, 17086, 12476, 645, 867, 523, 547, 2992, 519, 796, 2305, 540, 519, 9576, 8225, 5794, 10414, 609, 519, 8225, 13108, 543, 8225, 8136, 593, 4924, 269, 476, 272, 267, 476, 3422, 279, 563, 763, 9754, 267, 8547, 538, 476, 3192, 271, 267, 568, 606, 31498, 14212, 540, 1082, 1770, 15882, 269, 898, 814, 1079, 6753, 593, 3490, 269, 634, 1292, 9754, 568, 4092, 693, 476, 2767, 10548, 853, 269, 543, 2934, 606, 11141, 4015, 540, 4108, 6472, 543, 4108, 20711, 956, 543, 14213, 9604, 269, 634, 670, 30865, 476, 1556, 5794, 1323, 10811, 267, 593, 670, 30865, 10003, 267, 7710, 519, 4332, 540, 2011, 2866, 538, 4516, 883, 519, 12019, 2782, 563, 763, 13793, 541, 568, 6806, 585, 22058, 725, 538, 7041, 585, 519, 476, 1911, 628, 16683, 540, 519, 9576, 8225, 5794, 10414, 593, 4989, 476, 272, 267, 476, 1708, 275, 563, 8310, 1032, 267, 811, 982, 476, 1015, 267, 1822, 1004, 10272, 519, 9754, 267, 1524, 689, 840, 1790, 663, 2438, 2157, 855, 6450, 15929, 3833, 1134, 267, 27068, 1767, 269, 1520, 3939, 568, 1863, 267, 855, 23190, 616, 10950, 563, 294, 2958, 800, 267, 945, 6585, 513, 12854, 538, 2413, 3703, 1686, 609, 513, 1445, 593, 4108, 1686, 267, 1767, 645, 867, 523, 779, 1686, 14753, 547, 519, 3677, 9295, 4516, 1500, 538, 519, 20237, 540, 4708, 543, 9111, 538, 519, 476, 736, 628, 543, 476, 2641, 560, 5553, 563, 14881, 1589, 23671, 616, 23387, 540, 4516, 779, 11999, 9295, 538, 519, 3689, 2622, 2782, 267, 5822, 2622, 2782, 267, 11114, 2782, 543, 519, 12019, 2782, 2223, 646, 1767, 269, 968, 3080, 538, 476, 1015, 7606, 538, 4516, 630, 13195, 264, 538, 7833, 538, 519, 3689, 543, 5822, 2622, 12668, 269, 901, 568, 2247, 536, 17344, 1782, 267, 543, 1034, 540, 713, 7589, 729, 17319, 3034, 3891, 1767, 519, 476, 8517, 267, 1822, 4108, 4806, 18114, 630, 320, 8868, 539, 6174, 3710, 547, 4108, 16551, 264, 4516, 3710, 538, 519, 5822, 2622, 2782, 729, 513, 2112, 20421, 9295, 269, 1261, 849, 11329, 856, 4516, 779, 16080, 1242, 7589, 5645, 593, 883, 519, 12019, 2782, 563, 10527, 2450, 540, 938, 11439, 4229, 4847, 721, 547, 2226, 1360, 1713, 4229, 538, 2342, 267, 1247, 693, 519, 1482, 942, 7700, 547, 4708, 15209, 13485, 2223, 646, 1767, 563, 17829, 13485, 3769, 519, 2136, 8315, 17073, 10414, 594, 538, 519, 590, 22222, 22575, 7997, 543, 519, 717, 18054, 853, 8692, 538, 476, 4198, 277, 267, 519, 22096, 19822, 538, 476, 3422, 271, 267, 543, 6167, 9128, 4083, 693, 519, 590, 22222, 22575, 543, 267, 2663, 267, 519, 31291, 328, 18686, 538, 476, 3192, 275, 563, 294, 2958, 800, 15109, 519, 9754, 779, 4015, 968, 821, 540, 519, 29659, 892, 538, 519, 2197, 563, 4407, 646, 568, 6158, 827, 519, 17271, 543, 8978, 1871, 540, 519, 4015, 267, 621, 779, 849, 4502, 513, 8101, 2040, 540, 2724, 547, 19216, 267, 952, 789, 1223, 1205, 741, 3946, 593, 621, 563, 2690, 1383, 267, 950, 596, 3802, 883, 519, 1292, 4159, 10689, 538, 519, 1292, 9754, 267, 835, 540, 519, 1101, 1919, 596, 1294, 616, 3504, 4498, 2917, 5937, 822, 1749, 517, 543, 570, 8922, 874, 5179, 31260, 2443, 519, 6283, 3903, 540, 519, 4108, 7128, 267, 610, 3038, 739, 17620, 607, 621, 729, 1634, 909, 547, 476, 3422, 279, 563, 16248, 540, 873, 616, 20898, 909, 2443, 25144, 267, 540, 1576, 2443, 543, 789, 2461, 15999, 267, 952, 596, 2461, 883, 602, 4990, 540, 3364, 563, 4002, 4159, 609, 519, 5179, 31260, 568, 513, 11308, 1835, 622, 602, 779, 2760, 1044, 8118, 269, 18738, 621, 568, 513, 476, 4198, 278, 476, 4335, 268, 764, 570, 8922, 874, 13138, 310, 27576, 2443, 2150, 31189, 543, 9985, 12873, 563, 2005, 779, 513, 27576, 21689, 779, 5326, 563, 3080, 1175, 899, 621, 267, 538, 922, 3312, 1835, 622, 267, 4421, 693, 513, 4993, 25488, 538, 476, 1001, 271, 585, 2475, 259, 4097, 267, 4335, 269, 20271, 894, 9193, 2303, 621, 1131, 30321, 2475, 259, 2004, 267, 1822, 2221, 2443, 827, 595, 259, 3583, 267, 1822, 563, 29467, 616, 1082, 8711, 538, 519, 9754, 779, 4015, 2223, 646, 1767, 269, 968, 2171, 723, 513, 476, 27843, 298, 630, 320, 1979, 30350, 264, 538, 670, 30865, 476, 1556, 269, 634, 476, 27843, 298, 729, 4516, 779, 2866, 7077, 585, 519, 2898, 540, 519, 476, 4572, 271, 338, 269, 3509, 540, 4516, 779, 25142, 513, 806, 538, 519, 11135, 540, 6628, 8036, 693, 645, 867, 523, 3034, 1103, 1249, 267, 476, 6812, 829, 1298, 540, 782, 21804, 8036, 538, 4516, 538, 519, 3689, 2622, 2782, 941, 8036, 693, 645, 867, 523, 563, 12988, 693, 519, 1292, 9754, 267, 27068, 2306, 2027, 4063, 540, 519, 10548, 7382, 2443, 4516, 779, 9295, 547, 7382, 1374, 538, 519, 5822, 2622, 2782, 563, 22154, 7382, 729, 519, 9030, 2866, 1907, 585, 1034, 9576, 8225, 14022, 10696, 17620, 2367, 269, 1284, 723, 606, 631, 1704, 1769, 7382, 1031, 547, 5721, 8225, 7382, 619, 1354, 519, 12625, 540, 519, 10548, 269, 5637, 891, 13688, 20690, 2740, 519, 6186, 1819, 24767, 685, 1967, 538, 519, 7969, 5859, 543, 519, 19566, 2342, 5859, 538, 519, 5822, 2622, 2782, 2223, 646, 1767, 563, 14881, 1223, 979, 593, 585, 3476, 1317, 267, 1256, 1498, 594, 723, 1044, 1934, 585, 1614, 1296, 267, 594, 993, 12423, 2370, 543, 2462, 16782, 782, 519, 942, 1848, 0, 2005, 779, 1044, 513, 9157, 1032, 585, 1004, 609, 5312, 2175, 971, 607, 3987, 267, 609, 930, 4105, 6527, 538, 2110, 3761, 269, 12128, 19829, 590, 3201, 14877, 918, 310, 32670, 6941, 1018, 568, 8345, 543, 1018, 547, 798, 827, 621, 563, 3963, 568, 972, 513, 6646, 17732, 286, 1703, 616, 1896, 2188, 602, 666, 3565, 547, 513, 17522, 538, 519, 3761, 540, 6527, 269, 1452, 1331, 912, 268, 21463, 538, 519, 5663, 2371, 1519, 1373, 30465, 267, 6806, 267, 6410, 610, 24673, 454, 268, 1689, 538, 3747, 1813, 547, 2242, 538, 1072, 19995, 4791, 2259, 4808, 454, 268, 17732, 540, 6151, 5820, 454, 268, 19944, 6672, 1813, 547, 2754, 3375, 454, 268, 2067, 12469, 454, 268, 2199, 610, 3486, 2591, 538, 5478, 543, 610, 6283, 454, 268, 1587, 31061, 1813, 547, 6397, 2298, 543, 3106, 2152, 563, 3674, 519, 6646, 17732, 693, 513, 2199, 7400, 610, 513, 3084, 7400, 888, 15919, 972, 1223, 581, 513, 10151, 17522, 538, 519, 3761, 540, 513, 6646, 693, 513, 2199, 1377, 267, 799, 1797, 519, 6646, 568, 28998, 693, 1978, 7966, 9313, 610, 2127, 269, 901, 4523, 950, 972, 568, 606, 2333, 538, 3747, 689, 6800, 269, 901, 17522, 568, 7363, 17251, 3533, 267, 2899, 519, 2199, 26849, 543, 519, 17783, 29993, 25579, 880, 1007, 13632, 269, 1403, 519, 6646, 17732, 568, 693, 3084, 1377, 267, 621, 949, 581, 602, 519, 3761, 1369, 5245, 568, 10010, 547, 2743, 609, 3747, 269, 1452, 22520, 666, 2063, 585, 1896, 3275, 563, 1692, 1223, 596, 6166, 952, 972, 568, 513, 3084, 17732, 540, 519, 6646, 596, 616, 2921, 888, 16100, 621, 909, 593, 519, 570, 16598, 3896, 634, 634, 8427, 6153, 338, 10029, 630, 307, 16598, 264, 568, 519, 8241, 2229, 9431, 8116, 540, 4915, 543, 519, 31706, 269, 898, 568, 16601, 585, 782, 3075, 3549, 547, 1867, 547, 519, 570, 16598, 1022, 2062, 5408, 762, 6646, 22520, 1369, 519, 1985, 3670, 3275, 269, 1411, 666, 6166, 952, 972, 568, 513, 3084, 17732, 538, 5245, 676, 3351, 2358, 519, 4915, 17732, 5359, 6538, 267, 799, 568, 2139, 689, 519, 570, 16598, 3896, 563, 1607, 6538, 2636, 596, 547, 3406, 585, 11955, 602, 616, 538, 2110, 3761, 610, 19944, 4240, 267, 799, 2882, 782, 13310, 6527, 543, 930, 936, 7308, 23716, 6527, 269, 7102, 1344, 827, 1018, 568, 1373, 2944, 827, 519, 17732, 786, 849, 581, 3769, 538, 519, 6538, 269, 1717, 267, 519, 570, 16598, 3896, 1281, 711, 1683, 1022, 4791, 5796, 3823, 707, 1808, 2783, 563, 23921, 5796, 286, 28423, 547, 707, 1072, 4648, 563, 5629, 596, 917, 602, 972, 568, 513, 3084, 17732, 540, 519, 6646, 267, 621, 568, 1271, 547, 3343, 5796, 689, 707, 1072, 4648, 269, 17616, 267, 3717, 547, 707, 2199, 14278, 626, 269, 2659, 14278, 626, 666, 4217, 596, 676, 8380, 596, 593, 519, 7227, 4289, 267, 865, 602, 2899, 519, 6646, 568, 1394, 538, 6006, 267, 789, 666, 3346, 596, 269, 769, 519, 29291, 267, 789, 666, 948, 596, 676, 5356, 606, 4244, 6216, 799, 3568, 519, 1482, 3742, 12146, 267, 952, 621, 568, 2139, 563, 2252, 972, 568, 1100, 4244, 6216, 2139, 267, 707, 14278, 626, 949, 581, 2111, 547, 18973, 596, 543, 707, 13382, 1018, 519, 2139, 8925, 616, 585, 519, 942, 1373, 269, 6884, 972, 616, 4244, 3681, 2139, 538, 519, 1106, 540, 513, 1114, 4915, 799, 12851, 547, 519, 1482, 1362, 540, 6646, 543, 2488, 1360, 2147, 9354, 4093, 269, 1411, 786, 991, 547, 3717, 547, 707, 13382, 267, 607, 646, 610, 1352, 786, 581, 519, 835, 1034, 5432, 609, 707, 2783, 269, 2659, 13382, 786, 1287, 581, 2111, 547, 21559, 519, 1034, 3617, 4244, 2126, 3681, 585, 596, 563, 3674, 713, 513, 1085, 600, 888, 2171, 782, 917, 519, 6031, 602, 952, 1945, 4992, 1932, 1434, 547, 581, 3020, 267, 621, 4440, 568, 269, 634, 1482, 10039, 547, 6527, 269, 1403, 972, 568, 513, 3084, 6646, 17732, 543, 596, 616, 3478, 15737, 610, 4466, 1344, 593, 1514, 2923, 827, 11449, 6646, 593, 2993, 710, 267, 621, 949, 538, 1249, 581, 513, 1085, 600, 269, 634, 570, 16598, 814, 1336, 1082, 8320, 540, 1085, 4461, 4478, 3987, 6527, 538 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 269, 1411, 917, 267, 594, 20595, 1250, 1482, 3109, 13617, 9133, 10887, 585, 5756, 269, 1809, 945, 602, 729, 593, 13680, 11016, 594, 9364, 5957, 1945, 3116, 269, 1656, 2943, 649, 4312, 3893, 2021, 538, 513, 3510, 1141, 789, 723, 547, 1413, 1114, 1169, 1554, 269, 2107, 972, 781, 10839, 267, 1793, 641, 6853, 267, 1318, 267, 602, 4990, 540, 3364, 269, 1809, 19037, 267, 602, 781, 602, 781, 1946, 594, 2161, 602, 519, 519, 519, 13545, 858, 8430, 737, 6506, 596, 1141, 621, 12523, 269, 1772, 519, 979, 1310, 4008, 899, 267, 2731, 6213, 286, 1411, 917, 267, 2027, 2127, 1369, 1141, 519, 29388, 723, 519, 7887, 2883, 1764, 616, 1346, 1919, 602, 616, 2186, 540, 4008, 838, 527, 267, 4008, 267, 703, 13208, 269, 9093, 269, 1284, 899, 938, 10412, 25099, 269, 1284, 2648, 1346, 1346, 1205, 5734, 609, 267, 899, 476, 276, 260, 476, 276, 811, 267, 30610, 267, 899, 621, 781, 899, 476, 1626, 260, 585, 2367, 781, 10412, 695, 16630, 269, 1703, 781, 513, 476, 1015, 260, 585, 2021, 1945, 899, 602, 267, 855, 594, 4312, 594, 4312, 2196, 519, 2338, 267, 543, 1287, 519, 14919, 269, 898, 2501, 856, 513, 2370, 3787, 2362, 2883, 1764, 585, 2021, 781, 5370, 16865, 585, 8951, 8957, 9038, 269, 1809, 594, 14353, 602, 936, 942, 594, 723, 594, 723, 1079, 2042, 602, 936, 942, 594, 723, 1100, 8969, 602, 519, 2021, 781, 5370, 538, 519, 14919, 723, 1044, 5734, 13840, 1454, 9875, 982, 2367, 267, 631, 2297, 5370, 269, 1656, 519, 824, 851, 568, 267, 30610, 267, 519, 4316, 547, 1711, 3765, 27815, 568, 621, 781, 3520, 16781, 748, 1934, 543, 1616, 17515, 269, 1809, 1577, 781, 979, 1394, 547, 713, 5370, 851, 602, 932, 848, 568, 6158, 827, 5370, 267, 596, 917, 269, 2052, 649, 7128, 621, 286, 4270, 267, 519, 5313, 2229, 1281, 711, 723, 519, 5837, 6392, 267, 519, 7128, 267, 519, 14499, 540, 5370, 602, 616, 30630, 547, 25469, 693, 10685, 269, 4208, 286, 5221, 519, 5313, 2229, 10997, 4008, 6976, 1759, 1104, 9204, 593, 10887, 543, 593, 7802, 269, 4107, 540, 938, 7802, 568, 16865, 269, 4107, 540, 938, 10887, 616, 16865, 269, 1924, 875, 666, 519, 2229, 979, 547, 9546, 27926, 2161, 267, 19850, 267, 596, 917, 596, 991, 803, 1631, 519, 5313, 1876, 602, 1256, 1498, 649, 2811, 12123, 1114, 29388, 1104, 9204, 593, 519, 5370, 1759, 593, 4008, 267, 596, 596, 666, 1405, 1491, 707, 3339, 1665, 1575, 593, 602, 269, 2353, 1318, 267, 621, 781, 21494, 563, 2419, 848, 3212, 1188, 5069, 281, 476, 3374, 281, 7918, 454, 3383, 1463, 4655, 540, 1719, 563, 28061, 595, 821, 267, 10507, 336, 12727, 476, 3374, 281, 6812, 454, 2005, 781, 513, 4655, 540, 1719, 267, 543, 538, 1876, 267, 649, 1131, 2161, 596, 723, 11515, 534, 3946, 269, 1411, 666, 1405, 29153, 827, 513, 1966, 602, 596, 616, 4929, 267, 538, 851, 1317, 596, 917, 602, 835, 543, 476, 272, 270, 273, 2600, 602, 781, 4947, 538, 593, 782, 602, 16463, 31321, 621, 781, 711, 1175, 476, 272, 269, 276, 260, 4991, 6825, 909, 1524, 519, 1899, 676, 519, 942, 4991, 547, 10685, 269, 2334, 1223, 581, 476, 276, 260, 811, 267, 596, 917, 269, 3973, 1287, 476, 272, 269, 276, 10065, 1924, 519, 2229, 814, 11515, 534, 3946, 538, 713, 4901, 267, 543, 1287, 594, 3513, 2285, 596, 1776, 269, 1924, 865, 596, 723, 2789, 5716, 538, 519, 3761, 5832, 945, 781, 3743, 585, 519, 11186, 1063, 513, 11909, 28886, 19564, 543, 513, 4544, 28886, 19564, 267, 26001, 286, 1879, 621, 2501, 547, 16463, 17309, 267, 31321, 267, 543, 23157, 267, 513, 1360, 1713, 6712, 540, 873, 616, 3454, 539, 8335, 676, 519, 2229, 593, 1104, 269, 1656, 1287, 267, 593, 1283, 540, 602, 267, 596, 723, 5478, 6700, 10685, 3902, 269, 9049, 14641, 781, 269, 1411, 4440, 4862, 827, 621, 269, 1924, 952, 596, 2811, 513, 3075, 4558, 543, 596, 2811, 9513, 782, 891, 30143, 543, 986, 345, 832, 543, 782, 602, 8631, 543, 741, 2101, 12478, 941, 513, 2603, 540, 1346, 12478, 267, 649, 723, 606, 631, 590, 267, 681, 269, 623, 269, 1656, 952, 1346, 8637, 6133, 2630, 602, 267, 519, 12478, 1131, 2161, 267, 1280, 1326, 621, 269, 1284, 2811, 711, 27613, 6133, 547, 596, 15042, 269, 3767, 803, 13948, 267, 594, 1589, 602, 781, 3902, 1922, 30480, 267, 543, 621, 2386, 1281, 3280, 899, 621, 269, 1809, 519, 10966, 7040, 814, 18808, 609, 713, 267, 543, 972, 781, 513, 1360, 2025, 2013, 540, 936, 476, 1911, 1296, 2025, 1572, 2051, 22017, 267, 1141, 789, 4847, 10672, 781, 6700, 10685, 5777, 585, 4128, 649, 1810, 1405, 4465, 1405, 979, 883, 1282, 713, 4901, 267, 855, 594, 1924, 594, 1745, 602, 519, 11909, 3454, 593, 5370, 2115, 547, 581, 12193, 693, 519, 29065, 1377, 676, 1004, 899, 721, 543, 676, 4136, 553, 619, 540, 10685, 269, 901, 568, 1141, 707, 19700, 1058, 6432, 909, 1317, 267, 30610, 267, 972, 616, 513, 2603, 540, 15361, 538, 10685, 269, 589, 11909, 986, 345, 528, 610, 25316, 619, 2869, 656, 538, 513, 11909, 5068, 8708, 267, 6148, 811, 269, 3973, 513, 4544, 986, 345, 528, 610, 25316, 619, 2869, 656, 538, 513, 4544, 5068, 8708, 269, 772, 327, 267, 543, 621, 3006, 519, 16602, 621, 4991, 16602, 269, 1924, 267, 585, 1383, 267, 596, 1522, 4584, 909, 513, 5256, 543, 4775, 4528, 540, 524, 860, 928, 610, 25316, 619, 2869, 656, 267, 543, 519, 6529, 518, 3902, 949, 581, 519, 1482, 267, 855, 519, 4775, 4528, 949, 723, 3368, 606, 26412, 1447, 982, 519, 812, 4528, 538, 23711, 269, 1403, 596, 1413, 693, 519, 23711, 3381, 593, 713, 267, 594, 1589, 789, 3357, 909, 609, 513, 7008, 540, 1806, 899, 602, 269, 1809, 972, 616, 7044, 856, 972, 1141, 713, 568, 269, 901, 568, 851, 540, 519, 8945, 269, 898, 5654, 519, 1482, 269, 6733, 267, 519, 4320, 5654, 519, 1482, 267, 855, 621, 781, 711, 563, 293, 601, 6559, 3657, 1998, 334, 281, 476, 4343, 281, 7367, 454, 2005, 781, 1390, 267, 543, 594, 1589, 621, 781, 1945, 649, 2811, 454, 28061, 595, 821, 267, 10507, 336, 12727, 476, 4343, 281, 7918, 454, 293, 601, 6559, 3657, 1998, 334, 281, 476, 4343, 281, 4649, 454, 296, 6415, 11842, 1018, 2186, 540, 1198, 666, 513, 6521, 538, 3761, 610, 538, 3747, 286, 2052, 602, 8945, 548, 1524, 782, 519, 1259, 1524, 998, 519, 3761, 9055, 286, 1403, 6800, 1616, 547, 267, 585, 1383, 267, 596, 917, 267, 678, 718, 1221, 1927, 543, 1711, 513, 6521, 538, 519, 3747, 563, 28061, 595, 821, 267, 10507, 336, 12727, 476, 4375, 281, 1704, 454, 296, 1589, 602, 781, 8345, 1631, 267, 543, 594, 2965, 1589, 621, 781, 8345, 1631, 269, 594, 1589, 594, 1611, 267, 27010, 814, 2097, 856, 2907, 543, 1767, 602, 789, 2811, 711, 267, 1411, 917, 267, 602, 789, 616, 8165, 4008, 2861, 14499, 693, 10685, 269, 1703, 814, 1044, 513, 15494, 269, 898, 3884, 1405, 621, 3884, 1405, 513, 2347, 15494, 267, 855, 596, 917, 267, 519, 986, 345, 528, 3390, 543, 519, 1259, 1004, 899, 596, 543, 1004, 899, 803, 269, 1284, 2811, 8380, 3978, 2604, 593, 519, 3549, 547, 4368, 713, 1966, 1317, 1247, 621, 949, 3775, 267, 2367, 781, 5370, 616, 3006, 2362, 543, 2367, 6157, 798, 7985, 7130, 267, 14882, 607, 1134, 269, 1879, 596, 2811, 6158, 827, 14499, 693, 10685, 585, 3028, 568, 538, 5370, 269, 634, 538, 2489, 602, 16125, 519, 9224, 9875, 982, 9038, 543, 789, 2811, 6947, 1631, 269, 594, 729, 594, 6415, 2469, 547, 798, 513, 11909, 3454, 8470, 1934, 896, 519, 513, 22273, 1182, 540, 9167, 4657, 3864, 5742, 25679, 540, 25642, 538, 5130, 5988, 543, 941, 16298, 909, 930, 1434, 10529, 543, 19937, 1235, 269, 1809, 513, 4807, 2324, 609, 803, 593, 602, 2366, 803, 513, 8738, 3455, 3751, 740, 269, 5620, 596, 2938, 519, 8738, 3455, 3751, 11909, 3454, 740, 888, 298, 520, 773, 7780, 614, 3724, 281, 476, 2412, 281, 2764, 454, 28061, 595, 821, 267, 10507, 336, 12727, 476, 2412, 281, 3066, 454, 1492, 8738, 3455, 3751, 8738, 3455, 3751, 814, 606, 740, 1141, 4807, 267, 6075, 267, 2582, 6075, 269, 1411, 1205, 891, 602, 9269, 535, 1845, 267, 855, 621, 781, 538, 513, 11909, 8708, 267, 865, 596, 723, 547, 2628, 811, 269, 1656, 1287, 543, 1287, 972, 781, 899, 22035, 7321, 269, 1323, 4661, 609, 513, 6075, 1310, 6075, 982, 8738, 3455, 3751, 2501, 856, 543, 3081, 267, 674, 697, 11909, 3454, 269, 3767, 602, 781, 2309, 2065, 269, 6145, 8738, 3455, 3751, 3085, 1405, 723, 1022, 267, 596, 917, 621, 3085, 1405, 723, 513, 2915, 538, 713, 4339, 269, 898, 781, 3843, 547, 6133, 8738, 3455, 3751, 1426, 676, 1210, 513, 1857, 3760, 22215, 519, 11909, 3454, 563, 2419, 848, 3212, 1188, 5069, 281, 476, 6078, 281, 6860, 454, 6546, 781, 4010, 1018, 713, 568, 267, 1141, 649, 616, 6725, 2676, 28061, 595, 821, 267, 10507, 336, 12727, 476, 6078, 281, 5881, 454, 2431, 286, 1809, 621, 729, 6725, 269, 898, 568, 6725, 267, 855, 1809, 596, 1589, 540, 621, 269, 8738, 3455, 3751, 568, 3222, 540, 713, 269, 1358, 2811, 27613, 946, 621, 269, 594, 1611, 2334, 568, 851, 540, 519, 1847, 269, 898, 568, 851, 540, 519, 31135, 602, 568, 2469, 593, 1318, 1631, 2066, 519, 2197, 269, 1656, 9811, 267, 621, 781, 6725, 269, 8786, 267, 621, 781, 2309, 2065, 269, 1809, 693, 1101, 594, 2219, 267, 23010, 267, 15528, 267, 16921, 267, 596, 2811, 3843, 547, 946, 713, 1175, 547, 6133, 811, 3728, 1426, 267, 543, 1287, 594, 2219, 2622, 267, 1022, 948, 2337, 1318, 1631, 267, 594, 1611, 267, 1317, 649, 991, 547, 1205, 891, 4031, 2250, 543, 9493, 1695, 267, 649, 991, 547, 1205, 519, 561, 17690, 2250, 543, 1656, 865, 267, 19804, 267, 7102, 3118, 267, 30610, 267, 594, 3513, 1577, 596, 16921, 1847, 713, 6643, 1134, 267, 594, 1589, 538, 1776, 4287, 267, 1317, 594, 786, 1175, 1832, 2469, 2676, 2419, 848, 3212, 1188, 5069, 281, 476, 6078, 281, 7906, 454, 763, 2243, 594, 723, 585, 596, 543, 713, 568, 713, 568, 513, 2898, 1114, 835, 269, 1656, 713, 568, 1141, 649, 2731, 2911, 827, 2533, 610, 513, 1587, 538, 2489, 602, 2367, 1810, 1405, 946, 1317, 649, 1810, 1405, 991, 547, 269, 1656, 594, 3513, 723, 594, 269, 6183, 958, 8422, 4374, 3516, 267, 1250, 7385, 4280, 803, 952, 594, 1131, 3247, 676, 27010, 269, 594, 729, 593, 1250, 1259, 543, 4584, 1200, 909, 930, 21522, 2472, 267, 930, 512, 2086, 976, 269, 1656, 540, 1576, 267, 1169, 812, 14560, 547, 979, 798, 602, 269, 772, 332, 267, 594, 4682, 538, 547, 27010, 267, 543, 594, 4769, 1405, 917, 1141, 1022, 540, 621, 729, 543, 594, 1185, 547, 2307, 711, 547, 2446, 602, 519, 2947, 2929, 1114, 2010, 972, 616, 267, 543, 519, 1603, 568, 865, 1507, 593, 782, 540, 873, 602, 594, 1810, 1405, 917, 519, 3017, 1063, 267, 543, 594, 6415, 711, 27613, 1205, 8642, 593, 713, 267, 1809, 972, 616, 267, 899, 865, 1082, 1114, 3283, 269, 1656, 540, 1576, 594, 4769, 1405, 4444, 519, 1318, 835, 269, 1809, 1934, 781, 519, 3364, 269, 3733, 7385, 8694, 909, 2469, 1394, 1317, 594, 4769, 1405, 269, 1358, 782, 1413, 519, 1482, 454, 293, 601, 6559, 3657, 1998, 334, 281, 476, 5655, 281, 5325, 454, 2791, 575, 27198, 1205, 513, 4605, 563, 2419, 848, 3212, 1188, 5069, 281, 476, 5655, 281, 5392, 454, 10214, 609, 519, 4605, 267, 1352, 1705, 6494, 803, 513, 4605, 269, 1809, 1256, 609, 602, 267, 1603, 593, 827, 799, 835, 1352, 2877, 729, 865, 1507, 543, 782, 519, 10833, 6743, 4010, 519, 1482, 602, 594, 2219, 602, 594, 729, 1869, 3478, 519, 1318, 835, 602, 3564, 602, 568, 950, 594, 6976, 585, 621, 267, 594, 7691, 602, 972, 729, 513, 6455, 3454, 593, 621, 269, 1656, 585, 519, 13074, 942, 267, 585, 930, 2601, 267, 594, 1185, 2219, 602, 21522, 9882, 2472, 941, 711, 3454, 762, 269, 594, 2219, 789, 941, 267, 899, 267, 20248, 267, 899, 1426, 269, 1656, 454, 28061, 595, 821, 267, 10507, 336, 12727, 476, 6246, 281, 866, 454, 2419, 848, 3212, 1188, 5069, 281, 476, 6246, 281, 866, 454, 10190, 950, 594, 1336, 856, 649, 941, 27613, 723, 596, 594, 6415, 899, 267, 7937, 267, 1250, 2696, 267, 594, 12777 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 723, 547, 798, 568, 547, 24946, 602, 6174, 547, 721, 693, 6153, 15884, 2961, 5213, 725, 563, 2171, 786, 25488, 1055, 707, 21856, 547, 6318, 7482, 585, 519, 2146, 2861, 3292, 543, 2533, 540, 519, 6153, 15884, 3906, 538, 707, 1858, 269, 1452, 594, 11965, 2275, 1068, 1881, 476, 26341, 6262, 264, 274, 1875, 2889, 22327, 786, 946, 519, 7616, 547, 1683, 27797, 2043, 609, 3255, 585, 2069, 543, 7694, 269, 1452, 786, 5555, 5512, 873, 547, 2972, 2883, 5191, 543, 513, 1732, 2298, 540, 1272, 563, 2026, 513, 6153, 15884, 20033, 267, 596, 3580, 2972, 15813, 829, 802, 269, 31035, 689, 519, 7772, 540, 6616, 602, 596, 3580, 581, 4543, 1447, 26752, 11570, 12492, 513, 1732, 2298, 540, 1272, 267, 596, 3580, 849, 1265, 9547, 950, 649, 688, 592, 1055, 707, 6174, 585, 1863, 543, 5512, 596, 547, 4309, 513, 5021, 3454, 17429, 794, 538, 519, 1985, 3454, 4005, 563, 2171, 3398, 5176, 782, 6174, 2010, 267, 1256, 1346, 602, 616, 1100, 3476, 2324, 5265, 563, 10403, 23067, 689, 519, 717, 8692, 540, 24770, 4653, 2336, 23895, 14896, 622, 14412, 4303, 538, 513, 1034, 6209, 1259, 713, 1032, 676, 3257, 1945, 602, 786, 1863, 707, 1447, 26752, 12543, 689, 519, 804, 583, 2583, 540, 6710, 269, 11910, 6153, 15884, 2961, 5213, 725, 693, 476, 279, 5780, 268, 22001, 268, 5952, 279, 277, 610, 6445, 856, 938, 2228, 21856, 1106, 2221, 256, 0, 12041, 281, 24910, 24747, 518, 454, 21366, 281, 476, 2412, 279, 2791, 12564, 12226, 454, 4692, 25647, 14918, 3548, 1035, 27163, 888, 4407, 972, 568, 1100, 17046, 2626, 547, 713, 2243, 267, 607, 1142, 25647, 6477, 781, 1367, 8192, 2115, 949, 4268, 267, 621, 568, 3622, 711, 5227, 547, 3049, 1035, 27163, 547, 25647, 14918, 269, 3600, 27163, 2270, 1164, 2157, 540, 512, 2335, 1231, 267, 799, 666, 1291, 547, 14159, 1928, 267, 13165, 267, 543, 824, 9667, 2152, 538, 25647, 14918, 269, 3958, 267, 519, 2182, 9403, 540, 1035, 27163, 666, 849, 10460, 513, 669, 3183, 9651, 269, 1403, 596, 798, 3442, 547, 3049, 1035, 27163, 547, 707, 25647, 6477, 267, 621, 568, 1271, 547, 798, 865, 538, 20208, 543, 547, 6895, 707, 4620, 585, 1022, 2942, 6547, 563, 1432, 616, 1035, 27163, 888, 10907, 27163, 616, 519, 4829, 540, 519, 18073, 3529, 269, 2290, 18073, 3529, 666, 3132, 936, 476, 1015, 267, 1822, 1035, 27163, 538, 513, 4005, 269, 3600, 27163, 616, 3638, 538, 5567, 267, 2523, 3170, 543, 11950, 267, 799, 2306, 873, 606, 1271, 1426, 2707, 585, 2831, 899, 25277, 267, 13650, 267, 543, 795, 904, 269, 3600, 27163, 616, 849, 1031, 538, 2757, 4915, 269, 3600, 27163, 2270, 513, 1164, 1377, 540, 512, 2335, 1231, 267, 799, 666, 1118, 873, 6492, 513, 11415, 550, 269, 570, 2335, 1231, 616, 513, 1826, 540, 25168, 1156, 565, 543, 616, 849, 1336, 538, 7401, 267, 9174, 267, 543, 930, 5613, 269, 3600, 27163, 666, 581, 13881, 6151, 267, 28777, 267, 610, 2666, 883, 513, 7912, 269, 1879, 1035, 27163, 616, 2666, 883, 513, 7912, 267, 519, 512, 2335, 1231, 616, 6569, 267, 799, 2306, 519, 7912, 811, 5493, 23534, 269, 3600, 27163, 616, 513, 1434, 2707, 540, 14434, 267, 799, 616, 7135, 602, 2149, 2281, 689, 3441, 269, 4165, 9171, 1218, 666, 948, 547, 2061, 3676, 899, 2860, 543, 2295, 2068, 269, 3600, 27163, 616, 849, 513, 1434, 2707, 540, 6775, 267, 799, 666, 948, 547, 2087, 12536, 543, 10038, 1973, 4006, 2157, 269, 1924, 267, 1018, 616, 1035, 27163, 286, 3600, 27163, 616, 519, 4829, 540, 519, 18073, 3529, 602, 616, 3638, 538, 5567, 543, 723, 1082, 1072, 2640, 563, 1432, 798, 1035, 27163, 2270, 888, 10907, 27163, 616, 519, 4829, 540, 519, 18073, 3529, 543, 2270, 1369, 873, 519, 18073, 781, 6079, 269, 634, 1035, 1941, 781, 7387, 568, 2182, 543, 14014, 519, 6079, 3330, 269, 1879, 519, 1035, 1941, 568, 9921, 267, 621, 8813, 689, 519, 3529, 547, 519, 2666, 269, 1703, 267, 952, 519, 2175, 616, 1318, 267, 519, 1035, 1941, 786, 17708, 339, 543, 1332, 883, 513, 1007, 18073, 3529, 269, 3600, 27163, 616, 606, 1271, 1426, 2707, 585, 1082, 2831, 267, 1519, 25277, 267, 13650, 267, 543, 8983, 269, 3962, 1035, 1941, 666, 2270, 909, 547, 476, 1839, 260, 540, 922, 2597, 538, 3170, 267, 1818, 873, 513, 17811, 11656, 1426, 602, 2337, 2831, 7639, 519, 5162, 269, 18972, 723, 849, 13881, 1035, 27163, 585, 5553, 269, 1358, 666, 581, 23017, 610, 28777, 547, 4894, 519, 15280, 1145, 543, 1287, 2666, 883, 7912, 269, 3600, 27163, 616, 606, 1271, 851, 540, 519, 4104, 5117, 269, 1358, 1683, 1426, 585, 2831, 543, 948, 547, 25579, 880, 519, 4104, 609, 1007, 4054, 563, 6701, 1035, 27163, 2922, 585, 25647, 14918, 888, 294, 9334, 320, 14918, 616, 2442, 10130, 267, 543, 1082, 1004, 3442, 873, 1317, 789, 616, 1507, 543, 1970, 31720, 5199, 269, 1717, 267, 1256, 1498, 789, 616, 1507, 2831, 267, 789, 1869, 991, 513, 9867, 543, 14312, 2732, 547, 3251, 2635, 269, 2290, 2243, 602, 1082, 25647, 6477, 5411, 723, 568, 2436, 610, 711, 1035, 27163, 616, 2922, 585, 741, 10130, 547, 3548, 269, 3600, 27163, 616, 519, 4829, 540, 519, 18073, 3529, 267, 543, 789, 616, 1419, 1336, 593, 519, 2666, 9944, 18073, 4054, 269, 1358, 616, 1507, 267, 2182, 267, 543, 723, 513, 6960, 610, 15454, 7387, 269, 634, 3330, 540, 606, 1035, 1941, 568, 3043, 543, 17580, 267, 543, 621, 3568, 513, 2582, 17830, 269, 3600, 27163, 616, 513, 1434, 2707, 540, 1426, 585, 1082, 2831, 267, 1519, 25277, 267, 5017, 267, 543, 13650, 269, 1924, 267, 616, 1035, 27163, 2922, 585, 25647, 14918, 286, 634, 2626, 568, 9811, 256, 3600, 27163, 616, 2922, 585, 25647, 14918, 547, 3548, 267, 543, 789, 666, 2965, 581, 3833, 1434, 585, 873, 269, 3600, 27163, 616, 513, 1434, 2707, 540, 1082, 5567, 602, 25647, 14918, 991, 267, 1519, 3940, 267, 3170, 267, 543, 6775, 269, 1358, 849, 2270, 12192, 661, 267, 799, 568, 1271, 585, 2635, 2960, 543, 9663, 269, 2986, 1576, 267, 596, 12582, 1405, 1175, 2285, 707, 25647, 6477, 513, 19625, 540, 1035, 27163, 543, 1577, 873, 979, 547, 4884, 269, 3600, 27163, 1058, 581, 2016, 538, 20208, 267, 543, 789, 1058, 2141, 581, 2016, 2898, 267, 711, 7745, 610, 16760, 269, 901, 568, 1317, 519, 7387, 540, 606, 1035, 1941, 666, 581, 8325, 267, 543, 621, 1223, 10413, 707, 25647, 6477, 952, 789, 2119, 547, 3548, 621, 269, 1403, 596, 1616, 547, 2285, 707, 25647, 6477, 1035, 27163, 267, 1376, 676, 4758, 873, 835, 610, 1079, 693, 513, 942, 269, 1403, 789, 3100, 547, 899, 873, 543, 972, 616, 1100, 8801, 2360, 267, 596, 666, 7444, 2333, 519, 2179, 596, 2285, 873, 269, 1306, 609, 1022, 1007, 1426, 267, 621, 781, 2141, 513, 1434, 2856, 547, 4585, 707, 25647, 6477, 5702, 1310, 789, 3548, 1035, 27163, 547, 1118, 2386, 789, 616, 7558, 532, 873, 5265, 543, 1810, 1405, 3100, 547, 581, 7680, 1022, 2042, 269, 15788, 267, 1035, 27163, 616, 2922, 585, 25647, 14918, 543, 666, 2965, 581, 3833, 6225, 585, 873, 269, 1403, 596, 6430, 547, 2285, 707, 25647, 6477, 1035, 27163, 267, 581, 2386, 547, 798, 865, 538, 20208, 543, 1152, 2285, 873, 2898, 1035, 27163, 269, 1635, 3257, 713, 267, 596, 666, 581, 2386, 602, 707, 25647, 6477, 786, 3251, 2635, 543, 6126, 2336, 1692, 1454, 1035, 1941, 1058, 513, 25647, 6477, 3548, 888, 288, 25647, 6477, 1058, 3548, 827, 1079, 26486, 540, 1035, 1941, 829, 1554, 563, 1432, 616, 519, 2640, 540, 1035, 27163, 585, 25647, 14918, 888, 763, 2640, 540, 1035, 27163, 585, 25647, 14918, 616, 1082, 543, 9867, 269, 3600, 27163, 1683, 1898, 5567, 602, 25647, 14918, 991, 585, 1434, 1072, 267, 1519, 3940, 267, 1898, 9761, 7408, 267, 8324, 267, 543, 6886, 269, 3600, 27163, 616, 849, 513, 1434, 2707, 540, 8192, 6775, 267, 799, 568, 1271, 585, 16063, 1072, 269, 3958, 267, 1035, 27163, 2270, 14434, 602, 666, 948, 547, 2149, 1996, 10408, 3441, 269, 19892, 14918, 3335, 3548, 1472, 476, 273, 268, 274, 260, 540, 741, 1560, 2597, 538, 3819, 1426, 829, 1554, 269, 1280, 513, 2635, 2937, 25647, 6477, 267, 602, 1131, 581, 5111, 476, 272, 270, 279, 547, 476, 272, 270, 275, 7484, 540, 3819, 1426, 829, 1554, 269, 3600, 27163, 666, 581, 10480, 607, 851, 540, 513, 25647, 6477, 781, 3819, 1426, 32311, 267, 610, 607, 513, 1521, 269, 1879, 8023, 1035, 27163, 607, 513, 1521, 267, 621, 568, 1271, 547, 2709, 1152, 513, 1507, 2179, 693, 513, 942, 267, 607, 1932, 1082, 1035, 27163, 666, 1291, 547, 8377, 269, 3600, 27163, 616, 513, 1434, 2707, 540, 3940, 267, 1898, 9761, 7408, 267, 8324, 267, 543, 6886, 1306, 513, 1164, 3491, 12888, 1426, 267, 1035, 27163, 666, 948, 547, 1489, 519, 2208, 543, 5826, 540, 4887, 5160, 269, 3958, 267, 519, 1898, 9761, 7408, 538, 1035, 27163, 616, 1271, 585, 2960, 543, 10359, 1072, 267, 543, 519, 6171, 543, 7777, 1543, 2337, 547, 1489, 2949, 1072, 543, 1134, 5630, 269, 634, 8192, 6775, 538, 1035, 27163, 568, 1271, 585, 16063, 1072, 26678, 6775, 2337, 547, 1832, 519, 16063, 8778, 2635, 676, 5009, 2834, 640, 543, 7303, 19228, 269, 3958, 267, 6775, 2337, 547, 2569, 519, 1981, 540, 16063, 4713, 971, 607, 31818, 7781, 2068, 543, 897, 28030, 2860, 269, 3600, 27163, 2270, 14434, 602, 666, 948, 547, 2149, 1996, 10408, 3441, 634, 14434, 538, 1035, 27163, 666, 948, 547, 2149, 2281, 689, 3441, 3361, 676, 1863, 18119, 269, 3958, 267, 14434, 723, 1044, 3254, 547, 723, 4550, 13611, 543, 4761, 23418, 677, 633, 2360, 269, 769, 3932, 267, 519, 2640, 540, 1035, 27163, 585, 25647, 14918, 616, 1082, 543, 9867, 269, 3600, 27163, 616, 513, 1434, 2707, 540, 1898, 5567, 267, 8192, 6775, 267, 543, 14434, 269, 1879, 10480, 538, 20208, 267, 1035, 27163, 666, 948, 547, 1489, 519, 2949, 1072, 543, 1134, 5630, 540, 25647, 14918, 563, 6701, 972, 1022, 4220, 2404, 609, 8023, 1035, 27163, 547, 25647, 14918, 888, 2467, 616, 1896, 4220, 2404, 609, 8023, 1035, 27163, 547, 25647, 14918, 269, 3600, 27163, 2270, 1164, 2157, 540, 512, 2335, 1231, 267, 799, 666, 1291, 547, 16063, 11605, 543, 3978, 1072, 2042, 899, 6797, 2068, 269, 1358, 849, 2270, 513, 6219, 1572, 844, 2075, 564, 514, 267, 799, 666, 2014, 17350, 538, 25647, 14918, 269, 3600, 27163, 1058, 2760, 581, 2016, 547, 25647, 14918, 267, 607, 1256, 513, 1507, 2179, 666, 2014, 3978, 1072, 2042, 563, 1692, 1419, 666, 25647, 14918, 3548, 1035, 27163, 888, 10907, 27163, 616, 513, 14312, 267, 1164, 19339, 1426, 2707, 602, 666, 581, 13881, 676, 25647, 14918, 593, 513, 2834, 4493, 269, 2755, 972, 568, 1100, 17046, 2626, 593, 875, 1419, 25647, 14918, 666, 3548, 1035, 27163, 267, 789, 666, 3622, 581, 2016, 513, 1906, 1035, 27163, 829, 1554, 607, 851, 540, 513, 7059, 2732, 269, 3600, 27163, 616, 606, 5140, 2707, 540, 5567, 585, 25647, 14918, 267, 607, 789, 616, 1164, 538, 3170, 543, 2270, 513, 3099, 540, 8324, 543, 6886, 269, 769, 1880, 267, 1035, 27163, 616, 513, 1434, 2707, 540, 6171, 661, 267, 799, 568, 1898, 585, 25647, 14918, 262, 2960, 543, 10359, 1072, 269, 3600, 27163, 616, 849, 513, 1434, 2707, 540, 8192, 6775, 267, 799, 666, 948, 1832, 25647, 14918, 262, 9667, 1949, 8647, 5265, 269, 9603, 547, 741, 1164, 3170, 1543, 267, 1035, 27163, 1058, 581, 2016, 547, 25647, 14918, 538, 20208, 269, 3958, 267, 621, 568, 1271, 547, 1118, 2386, 602, 1035, 27163, 616, 2016, 607, 851, 540, 513, 9867, 2732, 602, 2882, 824, 2959, 540, 5567, 269, 1635, 3257, 865, 267, 25647, 14918, 666, 2972, 519, 2640, 540, 1035, 27163, 1247, 1869, 2226, 741, 2949, 1072, 563, 1432, 824, 3536, 666, 25647, 14918, 3548, 2059, 609, 1035, 27163, 888, 10907, 27163, 616, 513, 1826, 540, 2428, 602, 8813, 689, 18073, 4054, 269, 1358, 616, 513, 2442, 1426, 585, 1082, 2831, 267, 1519, 25647, 14918, 269, 769, 519, 3552, 267, 25647, 14918, 1419, 3548, 513, 3099, 540, 3536, 267, 1519, 1035, 27163, 269, 2755, 1035, 27163, 616, 2922, 585, 25647, 14918, 547, 3548, 267, 789, 1058, 711, 581, 519, 1152, 1426, 538, 741, 2732, 269, 589, 2732, 602, 568, 1932, 1164, 538, 1035, 27163, 666, 2014, 13165, 543, 824, 16063, 2152, 269, 769, 1840, 547, 1035, 27163, 267, 25647, 14918, 666, 3548, 513, 3099, 540, 824, 5613, 267, 5388, 267, 543, 18720, 269, 2368, 1434, 3681, 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 ]

[ 0, 8080, 547, 606, 3078, 3460, 883, 519, 1158, 540, 519, 1480, 1560, 256, 4653, 267, 649, 2811, 2469, 547, 1451, 827, 875, 938, 14401, 960, 543, 1946, 789, 616, 865, 1271, 269, 1411, 1522, 4898, 267, 834, 1432, 798, 891, 2370, 21167, 11057, 8219, 798, 8119, 4270, 267, 1577, 803, 2995, 596, 910, 789, 1404, 513, 1713, 1909, 538, 5329, 721, 2635, 2439, 5331, 952, 594, 5795, 596, 513, 4837, 2407, 540, 1216, 543, 4280, 596, 547, 4235, 621, 782, 693, 2899, 269, 2659, 1560, 1131, 991, 547, 1205, 7759, 540, 930, 3063, 5714, 267, 1318, 286, 2334, 781, 1141, 519, 14401, 2097, 538, 13561, 269, 1358, 957, 607, 12086, 585, 707, 1973, 267, 9427, 3653, 2472, 543, 4430, 12862, 1247, 849, 13326, 856, 1898, 6886, 899, 9770, 267, 11379, 267, 543, 7513, 269, 2991, 19003, 267, 1018, 3788, 7140, 883, 10729, 799, 1287, 3762, 519, 1560, 998, 519, 15485, 543, 23443, 628, 571, 269, 30474, 3579, 267, 26001, 2496, 3086, 4952, 2348, 513, 2816, 607, 513, 15705, 945, 18274, 909, 17885, 538, 513, 2749, 1169, 1554, 269, 6884, 972, 666, 581, 1932, 1454, 20203, 533, 6150, 909, 593, 1978, 10754, 282, 13974, 267, 950, 2576, 8813, 2192, 610, 27499, 14432, 1426, 267, 811, 22837, 1628, 909, 538, 519, 1560, 982, 8912, 269, 589, 12963, 26669, 6331, 626, 568, 1175, 899, 602, 15705, 855, 4481, 5059, 593, 4543, 1453, 2226, 2973, 543, 1134, 1922, 4233, 532, 14401, 269, 1452, 7189, 20647, 538, 23235, 543, 8156, 1585, 2175, 7133, 3214, 262, 8459, 1072, 267, 971, 607, 5563, 267, 15110, 4719, 4713, 267, 16991, 3676, 267, 543, 1256, 1164, 1973, 2604, 780, 4263, 6280, 3292, 899, 519, 835, 5018, 538, 519, 4367, 267, 2104, 12963, 26669, 6331, 1235, 4685, 2620, 883, 1620, 3388, 827, 519, 14401, 1107, 689, 4974, 1950, 2564, 2665, 547, 7900, 23361, 630, 604, 2877, 264, 543, 10647, 14262, 1382, 269, 1635, 3257, 865, 267, 789, 2327, 789, 1683, 1283, 27677, 577, 1416, 547, 948, 7210, 3214, 22919, 741, 4222, 543, 2661, 25747, 780, 2080, 781, 606, 4277, 1249, 281, 9894, 596, 917, 602, 20691, 1995, 2242, 538, 741, 4703, 1282, 2230, 2951, 1813, 547, 2890, 6588, 6143, 286, 2290, 8037, 1689, 4523, 1369, 741, 17256, 1949, 1317, 8904, 1100, 3476, 27605, 15629, 12862, 18746, 4724, 519, 2539, 17119, 885, 269, 1306, 513, 1267, 267, 519, 2295, 3085, 1405, 723, 547, 6802, 1996, 8904, 547, 2132, 1973, 1394, 547, 519, 5580, 1560, 267, 3056, 547, 2799, 1973, 2095, 547, 519, 2212, 269, 1924, 267, 3173, 1353, 875, 891, 2189, 6381, 1860, 20691, 262, 8459, 1599, 267, 3850, 873, 547, 1020, 4831, 1889, 9778, 547, 1832, 938, 12703, 17701, 2922, 543, 2635, 1282, 13485, 269, 1215, 5863, 568, 602, 31841, 3383, 1985, 942, 596, 946, 519, 1964, 3336, 267, 3314, 1346, 2182, 11529, 14401, 3330, 596, 267, 23900, 7738, 1919, 909, 543, 4509, 3666, 269, 1656, 6148, 14693, 267, 596, 1223, 1831, 513, 12963, 26669, 6331, 626, 3054, 267, 4180, 824, 3214, 1332, 2178, 543, 2635, 7064, 547, 741, 5265, 8647, 14401, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 14188, 596, 585, 707, 1719, 538, 519, 2160, 540, 12309, 17925, 13605, 327, 14347, 31776, 2866, 1982, 269, 3776, 1982, 814, 513, 1279, 1686, 540, 2866, 519, 3401, 540, 14182, 538, 519, 2127, 540, 1382, 267, 7245, 543, 3461, 1416, 563, 2171, 616, 6131, 547, 3246, 4791, 2866, 543, 1382, 3255, 547, 5721, 3811, 4081, 12963, 26669, 6331, 1235, 269, 1677, 713, 1439, 267, 649, 723, 2185, 6663, 563, 5575, 267, 649, 20089, 547, 5838, 513, 3102, 6437, 602, 22316, 27466, 525, 585, 4830, 2259, 269, 3245, 4098, 15364, 16758, 538, 519, 1101, 1032, 547, 9591, 606, 1528, 633, 609, 6131, 942, 13991, 547, 5312, 543, 8650, 31533, 267, 938, 1982, 11363, 519, 3946, 6823, 1565, 3255, 602, 8451, 689, 1463, 3461, 1416, 269, 11916, 1416, 543, 23913, 1565, 616, 21284, 676, 938, 12353, 6437, 3126, 269, 901, 1576, 2636, 27466, 525, 547, 30075, 741, 4791, 1702, 609, 2596, 2619, 30986, 267, 2013, 2861, 1565, 543, 7041, 585, 519, 17925, 13605, 327, 14347, 4425, 1841, 269, 17925, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 769, 519, 5318, 5251, 540, 2564, 2259, 267, 972, 6818, 513, 3982, 543, 2565, 9015, 602, 6212, 593, 519, 1560, 781, 4102, 1418, 910, 519, 2960, 269, 32536, 1108, 267, 607, 513, 7463, 2361, 1369, 4915, 267, 814, 7960, 3648, 2094, 922, 2038, 2395, 267, 10489, 2056, 3564, 6071, 23815, 4145, 547, 7854, 3309, 3344, 540, 11528, 3676, 543, 2790, 1072, 269, 634, 1909, 540, 513, 17172, 6048, 11498, 2484, 3564, 23235, 30919, 282, 621, 3340, 606, 6946, 1620, 540, 1480, 8226, 543, 922, 7096, 3310, 593, 3461, 1416, 269, 1677, 5963, 5660, 713, 2189, 25246, 540, 4915, 267, 1577, 721, 5490, 4514, 883, 519, 1158, 540, 17172, 1108, 267, 2625, 532, 1312, 3140, 2796, 543, 4207, 4644, 780, 2414, 2253, 609, 267, 1018, 1281, 513, 17172, 6048, 798, 286, 589, 17172, 6048, 568, 513, 2564, 4387, 945, 24870, 538, 8156, 2175, 1644, 547, 519, 2960, 267, 4552, 267, 18969, 267, 543, 29935, 17011, 269, 1452, 4648, 10929, 11826, 2866, 267, 1519, 2185, 1296, 540, 2564, 1153, 4553, 676, 513, 5934, 1614, 4458, 32031, 1982, 6131, 9003, 547, 17172, 1670, 1353, 269, 6270, 3573, 2069, 28382, 873, 609, 519, 2556, 1983, 547, 4383, 3388, 689, 1455, 2960, 2152, 899, 18383, 610, 26253, 547, 811, 1950, 4713, 971, 607, 16991, 1025, 3563, 532, 3676, 610, 2759, 10389, 9726, 5557, 780, 23338, 547, 2500, 17172, 11043, 1416, 568, 519, 1523, 540, 8226, 269, 1306, 3220, 269, 24697, 681, 269, 674, 15505, 2006, 12006, 1282, 1010, 22644, 539, 29366, 1338, 590, 269, 12389, 797, 700, 624, 999, 1222, 267, 2550, 262, 11994, 3337, 741, 2833, 543, 20241, 540, 3782, 2533, 269, 11569, 267, 513, 3461, 781, 2949, 12705, 540, 741, 7237, 609, 513, 3782, 8502, 568, 6766, 711, 1152, 676, 519, 4791, 6364, 855, 849, 676, 1447, 15889, 2188, 971, 607, 7996, 942, 267, 14375, 2792, 267, 543, 2168, 10450, 269, 4475, 267, 14237, 2318, 11994, 3587, 14063, 538, 5807, 3811, 9354, 24816, 543, 7393, 15984, 547, 2126, 4566, 780, 11101, 267, 13500, 262, 11994, 540, 824, 12665, 666, 1764, 10319, 3646, 543, 6038, 3310, 3461, 4093, 269, 10251, 267, 20887, 827, 17172, 1108, 1869, 6414, 1851, 1978, 20453, 540, 519, 2564, 9992, 24471, 269, 1280, 3236, 267, 930, 3119, 1416, 13500, 949, 22426, 31681, 827, 13288, 2550, 547, 17172, 5505, 1813, 547, 9228, 3908, 9165, 540, 2259, 610, 1761, 8488, 538, 20499, 269, 1717, 267, 1382, 17591, 338, 891, 10054, 269, 2290, 1353, 3370, 538, 808, 24717, 32536, 1108, 1336, 602, 5401, 3277, 23552, 630, 5976, 514, 1079, 4374, 264, 547, 17172, 5505, 3366, 547, 4824, 10368, 6111, 543, 4389, 3790, 3379, 547, 16607, 29492, 269, 4935, 267, 4101, 17888, 11475, 543, 5009, 15834, 2463, 1223, 1291, 547, 1732, 7471, 1416, 3631, 780, 1103, 1840, 547, 2757, 5107, 267, 2413, 17172, 5505, 1265, 2933, 10188, 3209, 11182, 4547, 8521, 676, 6639, 7760, 543, 9687, 6848, 6788, 269, 17791, 25924, 267, 2899, 2808, 606, 7755, 9417, 3028, 267, 1631, 4249, 513, 11358, 1909, 538, 9750, 1569, 547, 17172, 11043, 6791, 267, 2523, 538, 6552, 2127, 9207, 5703, 676, 11285, 19190, 269, 5015, 267, 519, 28622, 540, 17172, 1108, 609, 1857, 1072, 2152, 19329, 6626, 4656, 543, 6278, 269, 6333, 267, 585, 1383, 267, 519, 3395, 6284, 540, 7292, 13103, 538, 17172, 11043, 5868, 543, 2359, 269, 17148, 899, 3857, 559, 15282, 543, 27441, 1419, 1459, 8335, 1759, 593, 6803, 4282, 267, 8506, 15520, 6213, 4485, 543, 15398, 28858, 689, 9439, 780, 2026, 938, 2486, 12066, 956, 609, 2810, 3928, 540, 2960, 2860, 267, 10172, 5095, 267, 543, 24567, 2790, 1072, 16839, 267, 519, 10083, 540, 17172, 1108, 17648, 3152, 23473, 269, 1635, 19825, 519, 16082, 7915, 538, 713, 7936, 540, 4915, 267, 2104, 3782, 7426, 1796, 547, 3986, 711, 1152, 741, 1378, 12117, 855, 849, 3565, 547, 11455, 8171, 2066, 2950, 269, 2991, 782, 267, 607, 7150, 1714, 13228, 1836, 676, 26194, 20215, 5128, 267, 834, 763, 8783, 2832, 540, 4915, 568, 547, 11177, 519, 7210, 547, 1072, 267, 547, 10826, 2068, 267, 855, 8449, 1271, 568, 519, 6454, 540, 519, 2298, 540, 1272, 1701, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 310, 2562, 4306, 2177, 4149, 3201, 4932, 267, 715, 5861, 269, 1107, 24697, 681, 269, 674, 15505, 2006, 267, 631, 6185, 1421, 1912, 6185, 1421, 513, 17172, 6048, 693, 654, 820, 11206, 2160, 23837, 6481, 4741, 267, 5063, 9447, 519, 29366, 1338, 590, 269, 12389, 797, 700, 624, 999, 1222, 693, 519, 1977, 9142, 540, 32536, 1108, 779, 476, 5038, 628, 16316, 20051, 538, 5842, 12770, 267, 2836, 604, 269, 901, 20380, 15872, 1222, 729, 3964, 538, 476, 1960, 274, 563, 293, 15505, 2006, 4843, 513, 11000, 267, 968, 19185, 15332, 519, 645, 7451, 540, 3776, 13574, 7981, 2906, 2223, 799, 9619, 519, 2956, 540, 8226, 543, 922, 1764, 593, 519, 10629, 1790, 520, 1304, 2078, 269, 968, 30535, 685, 24221, 540, 741, 1072, 1416, 7426, 543, 519, 2298, 540, 1416, 789, 4309, 689, 873, 616, 11954, 676, 741, 3003, 1995, 538, 519, 5604, 2223, 1767, 674, 15505, 2006, 269, 968, 11997, 267, 5883, 11994, 568, 1360, 1271, 3034, 293, 15505, 2006, 849, 5941, 875, 8226, 540, 519, 2564, 2146, 666, 1860, 519, 4093, 540, 3461, 1416, 543, 875, 8226, 5540, 3347, 1063, 2564, 32258, 563, 2108, 291, 12938, 5505, 10355, 1294, 2550, 4171, 2960, 2068, 729, 3927, 7307, 676, 513, 1875, 1673, 12938, 6048, 269, 3244, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 291, 12938, 6048, 257, 607, 851, 540, 834, 25503, 1315, 4284, 5974, 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, 4495, 2390, 513, 942, 267, 538, 513, 1507, 4884, 3957, 24442, 6807, 267, 5030, 1079, 1655, 2828, 267, 15207, 519, 26286, 543, 22123, 519, 8293, 597, 7758, 269, 1358, 6068, 4730, 1927, 267, 4687, 9162, 267, 543, 4543, 1142, 824, 269, 2290, 13566, 1554, 267, 789, 4956, 547, 979, 593, 513, 17552, 5371, 538, 519, 4104, 780, 20755, 3240, 4547, 1010, 5172, 22788, 11276, 7703, 267, 1247, 22123, 5645, 1200, 10477, 12899, 4216, 4904, 609, 26345, 32409, 269, 1879, 789, 6603, 519, 17552, 5371, 5544, 267, 789, 8068, 602, 972, 941, 1100, 10824, 610, 11680, 547, 2972, 741, 1426, 269, 15207, 5433, 8909, 1317, 646, 2731, 4941, 547, 2671, 1010, 26889, 609, 22123, 855, 4769, 1405, 917, 875, 1510, 10824, 269, 3807, 1287, 267, 22123, 1185, 606, 2856, 256, 2701, 3576, 856, 1079, 2462, 3762, 689, 513, 7404, 3529, 543, 1767, 267, 834, 16100, 267, 15207, 256, 1284, 666, 946, 891, 3762, 607, 10824, 15323, 20755, 3240, 20493, 543, 7691, 1945, 1271, 910, 950, 596, 1745, 8909, 267, 6158, 827, 621, 610, 4466, 3435, 2306, 596, 1745, 1732, 269, 901, 729, 1010, 1101, 1900, 2509, 1620, 16508, 11106, 630, 292, 304, 1070, 799, 2337, 721, 1174, 938, 4606, 543, 1346, 540, 1866, 1472, 721, 269, 898, 849, 1797, 6616, 1018, 547, 798, 865, 602, 3025, 7959, 6126, 780, 9202, 267, 789, 2219, 827, 10425, 269, 1703, 941, 1100, 11680, 2901, 269, 1809, 7227, 256, 22123, 8068, 602, 741, 1216, 14569, 1185, 561, 1749, 269, 1924, 1352, 5402, 23953, 930, 1216, 883 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1357, 607, 649, 917, 621, 2221, 568, 7361, 21438, 267, 609, 513, 19625, 540, 2462, 10509, 3549, 2531, 3215, 519, 2230, 269, 1809, 713, 7012, 1406, 2141, 519, 2013, 269, 634, 4950, 543, 519, 1158, 2647, 1357, 941, 7620, 3710, 593, 513, 1297, 540, 1930, 3498, 10873, 602, 941, 18228, 267, 7175, 5698, 543, 5647, 269, 1452, 10873, 3769, 26824, 585, 23142, 6054, 267, 674, 9143, 585, 3758, 4483, 267, 15382, 9143, 267, 22558, 4338, 543, 623, 8008, 274, 585, 4757, 267, 594, 13612, 543, 2473, 6573, 303, 585, 10004, 267, 543, 22665, 585, 11837, 2780, 4408, 547, 7379, 9607, 267, 1851, 1866, 563, 4913, 267, 609, 519, 11944, 540, 5680, 273, 267, 6531, 543, 16335, 4066, 267, 1082, 540, 891, 10873, 941, 7493, 539, 2476, 267, 543, 3079, 267, 649, 723, 26824, 543, 22665, 1869, 4922, 1031, 267, 609, 824, 10873, 4742, 1447, 543, 1447, 4143, 269, 901, 6521, 2509, 21438, 1357, 2861, 30424, 2533, 729, 18965, 538, 5680, 273, 267, 609, 2462, 10509, 3549, 899, 5616, 267, 9365, 267, 17749, 267, 543, 6215, 871, 2531, 3215, 519, 2230, 563, 763, 6521, 2476, 689, 519, 4295, 3498, 10873, 540, 519, 1357, 729, 9141, 676, 513, 1297, 540, 2188, 267, 1519, 519, 11944, 540, 16389, 267, 799, 4957, 1018, 621, 5921, 547, 581, 513, 7817, 593, 519, 1357, 269, 9521, 11380, 339, 3591, 267, 16389, 14059, 519, 2228, 1995, 689, 606, 813, 23867, 5133, 267, 609, 8924, 2813, 585, 1808, 5867, 899, 15692, 610, 25515, 269, 901, 6521, 538, 1445, 729, 3983, 585, 519, 1930, 4441, 540, 519, 1357, 267, 609, 14103, 276, 267, 519, 8789, 1665, 1575, 1893, 540, 519, 1357, 267, 13934, 676, 5065, 16335, 813, 1646, 10850, 563, 763, 1482, 1404, 1504, 1223, 1134, 1404, 856, 609, 5680, 274, 952, 649, 2461, 711, 6297, 269, 5680, 274, 814, 922, 1378, 18228, 3889, 543, 10873, 267, 899, 4441, 971, 607, 661, 13612, 268, 736, 585, 21797, 267, 661, 13612, 268, 278, 2641, 585, 1875, 1922, 2426, 1043, 21797, 267, 543, 519, 3955, 17839, 8767, 11711, 3590, 18228, 4859, 3060, 269, 1809, 519, 8273, 2243, 568, 952, 1524, 519, 1899, 649, 3580, 1294, 513, 2147, 23304, 731, 585, 519, 4295, 10873, 540, 5680, 274, 563, 2414, 2327, 1686, 3085, 1406, 10956, 3294, 267, 621, 17188, 547, 1491, 646, 539, 689, 519, 4245, 540, 519, 2250, 269, 2290, 13922, 602, 519, 1930, 10873, 543, 3156, 540, 5680, 274, 8853, 267, 607, 952, 789, 2611, 519, 8789, 5867, 538, 713, 1007, 5736, 267, 5680, 274, 786, 723, 7307, 547, 2661, 909, 547, 922, 6788, 269, 12344, 649, 786, 1294, 1945, 538, 519, 5957, 1963, 610, 8121, 270, 23623, 12415, 602, 7519, 338, 519, 2230, 538, 513, 2318, 1259, 267, 610, 6148, 5680, 274, 786, 3136, 547, 3048, 622, 543, 2057, 519, 25354, 540, 3844, 1436, 269, 8307, 942, 786, 2995, 269, 0, 7628, 713, 2817, 31421, 10644, 13600, 543, 3564, 2507, 649, 666, 782, 948, 3247, 2942, 6386, 543, 3079, 5000, 11587, 267, 10343, 543, 10014, 563, 2108, 15919, 1945, 1223, 581, 2469, 593, 3544, 519, 1153, 543, 519, 1126, 786, 3142, 621, 883, 519, 1153, 2223, 1767, 1153, 24468, 267, 18466, 548, 667, 20462, 5174, 4026, 612, 563, 14071, 2119, 547, 1205, 547, 519, 5377, 540, 621, 543, 1294, 1946, 621, 779, 1256, 9648, 543, 1287, 2119, 547, 4001, 875, 547, 1118, 513, 1732, 3903, 543, 875, 547, 581, 513, 1732, 1268, 3034, 5591, 1126, 1058, 581, 12922, 547, 979, 547, 1153, 269, 31421, 5932, 1279, 18835, 3441, 269, 5901, 519, 3515, 540, 2792, 1930, 543, 15260, 675, 873, 602, 621, 779, 711, 741, 13337, 563, 291, 20462, 5174, 4026, 612, 4422, 883, 2776, 11860, 998, 476, 273, 630, 275, 547, 476, 280, 26188, 6040, 264, 13460, 543, 12909, 827, 519, 4191, 540, 11648, 267, 1018, 547, 1413, 585, 267, 875, 547, 1867, 621, 267, 519, 3017, 1063, 11648, 543, 513, 1611, 4090, 610, 11648, 543, 513, 4655, 269, 2701, 3081, 952, 621, 779, 5963, 513, 11648, 4090, 267, 2141, 1867, 621, 547, 606, 2937, 269, 589, 4655, 596, 666, 1101, 2119, 547, 960, 621, 856, 563, 29467, 779, 513, 4642, 10892, 585, 11648, 1934, 2223, 519, 1153, 24468, 1767, 563, 6097, 547, 18466, 548, 267, 11648, 4523, 936, 543, 936, 1586, 282, 621, 779, 711, 1175, 513, 835, 6066, 3364, 269, 898, 779, 835, 21758, 543, 3483, 995, 269, 1403, 891, 7592, 2097, 909, 9846, 1287, 621, 779, 11648, 269, 1656, 972, 616, 2185, 1114, 2010, 563, 2108, 16498, 11648, 267, 11913, 11648, 267, 1514, 11648, 2443, 1141, 596, 946, 707, 2828, 547, 2014, 2800, 547, 1866, 267, 6880, 11648, 2094, 594, 917, 513, 2603, 540, 938, 2370, 2828, 899, 547, 979, 1753, 543, 946, 1591, 11436, 610, 14342, 2223, 1767, 667, 20462, 5174, 4026, 612, 269, 6145, 2921, 606, 13311, 4605, 610, 3381, 267, 711, 1514, 2923, 693, 713, 2085, 563, 31624, 2391, 568, 3006, 513, 4121, 2623, 267, 543, 1419, 519, 1126, 3085, 1406, 1256, 917, 789, 2461, 4929, 2800, 610, 9292, 1154, 2576, 563, 2108, 3383, 649, 723, 547, 1397, 873, 267, 2048, 30750, 267, 621, 3085, 1406, 1745, 1434, 16224, 621, 2306, 1004, 8909, 2443, 8909, 1457, 982, 8909, 3034, 5445, 949, 2097, 689, 513, 1753, 1141, 6469, 5208, 568, 513, 1455, 2049, 8896, 563, 2108, 3719, 1934, 693, 1153, 2443, 1832, 3946, 267, 3952, 267, 782, 824, 3615, 547, 3054, 543, 789, 1810, 1406, 2731, 9787, 602, 1523, 2394, 621, 1281, 10413, 18825, 3034, 2252, 596, 1126, 568, 1373, 13032, 1221, 267, 18466, 548, 7512, 3237, 547, 1289, 519, 1153, 267, 519, 7245, 267, 519, 1153, 24468, 269, 1358, 666, 2322, 606, 3063, 1305, 540, 4064, 593, 519, 2875, 563, 2108, 19400, 585, 4191, 540, 711, 16462, 547, 2097, 547, 1153, 267, 4585, 585, 4191, 540, 3207, 1689, 267, 4189, 6208, 1689, 267, 32584, 7063, 267, 1022, 2186, 540, 1689, 538, 707, 2875, 2443, 972, 779, 2356, 513, 2601, 1848, 0, 268, 2776, 325, 5419, 566, 538, 4070, 6971, 942, 543, 3790, 1247, 5355, 2298, 543, 5009, 6940, 563, 268, 589, 2647, 2039, 540, 3156, 538, 10821, 543, 5010, 4070, 1118, 4776, 5419, 566, 3810, 11684, 563, 268, 32255, 5374, 568, 513, 23163, 1570, 538, 4776, 5419, 566, 1813, 547, 922, 4222, 267, 15006, 267, 543, 6940, 563, 268, 25351, 9771, 12992, 267, 6366, 13063, 267, 543, 5911, 22203, 616, 1883, 16243, 5374, 3334, 538, 519, 4776, 5419, 566, 1184, 563, 2252, 707, 1870, 3322, 4070, 267, 596, 917, 782, 1932, 1134, 875, 1454, 942, 543, 2724, 621, 3217, 547, 2347, 513, 1788, 269, 2334, 779, 1946, 519, 1158, 540, 4776, 5419, 566, 568, 4742, 5051, 2442, 269, 2776, 325, 5419, 566, 568, 3274, 519, 1184, 540, 14335, 2679, 3334, 6619, 540, 942, 538, 513, 12051, 610, 13186, 4259, 543, 1287, 24317, 873, 547, 519, 4070, 3135, 547, 581, 8704, 269, 901, 5816, 2022, 786, 2263, 519, 1202, 543, 16080, 540, 4776, 5419, 566, 267, 922, 2640, 267, 543, 1946, 621, 779, 4742, 5051, 2442, 538, 2413, 4070, 4213, 563, 19119, 540, 2776, 325, 5419, 566, 454, 7093, 325, 5419, 566, 814, 1082, 5383, 936, 2757, 4070, 2409, 269, 744, 1111, 550, 1307, 267, 621, 568, 18334, 543, 811, 3608, 1317, 519, 960, 3217, 1747, 538, 513, 12051, 610, 13186, 543, 568, 2944, 896, 6417, 2175, 267, 799, 1797, 621, 779, 711, 1641, 547, 1022, 4365, 5829, 17799, 269, 3958, 267, 1317, 519, 4070, 3217, 1747, 538, 513, 12051, 267, 972, 568, 1447, 3653, 267, 799, 6038, 2164, 538, 1942, 9806, 269, 3371, 616, 930, 2188, 547, 1491, 883, 2272, 912, 3080, 540, 519, 3119, 2640, 540, 4776, 5419, 566, 538, 519, 2413, 4070, 2872, 568, 519, 1713, 5786, 538, 1788, 28868, 269, 2060, 3334, 543, 13838, 1373, 3710, 8195, 1055, 21935, 1247, 3135, 7041, 4386, 267, 4070, 16131, 666, 581, 11880, 1243, 269, 901, 568, 2523, 1713, 538, 4683, 2127, 1141, 10893, 4070, 28868, 666, 2569, 21463, 543, 3790, 563, 5194, 8101, 5413, 540, 4776, 5419, 566, 568, 519, 6454, 538, 2949, 2298, 269, 1306, 519, 2679, 3334, 616, 14475, 538, 513, 6417, 12051, 1604, 267, 789, 616, 711, 6534, 547, 10792, 4365, 2175, 267, 799, 666, 3006, 1860, 519, 2298, 540, 2326, 538, 2757, 4070, 3157, 269, 3958, 267, 12051, 5468, 1419, 1246, 22608, 2298, 1852, 10873, 267, 4180, 519, 3812, 3334, 15666, 547, 1164, 4441, 543, 16551, 563, 306, 7739, 1464, 568, 513, 3395, 6161, 538, 519, 4070, 2872, 267, 543, 4776, 5419, 566, 3091, 513, 3070, 269, 2060, 922, 3608, 946, 540, 2326, 543, 5786, 538, 3653, 267, 4776, 5419, 566, 20383, 609, 4264, 2679, 2853, 269, 5015, 267, 1055, 21935, 4070, 1797, 7864, 5434, 689, 6283, 6472, 547, 519, 3135, 267, 1818, 621, 606, 13476, 7874, 4781, 563, 21104, 725, 540, 2776, 325, 5419, 566, 454, 7093, 325, 5419, 566, 814, 513, 5318, 2039, 540, 3156, 538, 519, 2413, 4070, 2872, 269, 898, 666, 581, 1031, 538, 1312, 10821, 543, 5010, 4070, 267, 689, 1507, 8397, 3785, 899, 5321, 543, 5604, 5656, 547, 1804, 8397, 3785, 899, 10506, 543, 3506, 563, 763, 2029, 814, 1256, 1336, 946, 538, 2189, 5468, 267, 971, 607, 9568, 8323, 543, 6552, 4070, 267, 1141, 2757, 2679, 2409, 1522, 711, 581, 15164, 269, 1280, 3236, 267, 4776, 5419, 730, 4559, 666, 581, 3533, 19632, 538, 9568, 3613, 4459, 523, 2127, 547, 1683, 10151, 8027, 543, 2564, 6703, 563, 7093, 325, 5419, 566, 779, 8465, 10626, 267, 5916, 609, 519, 2640, 12006, 4505, 267, 568, 1818, 621, 606, 5051, 10694, 4781, 585, 4213, 538, 519, 4070, 5823, 563, 763, 12411, 12546, 540, 32255, 13082, 454, 1103, 519, 7706, 540, 4776, 5419, 566, 267, 16243, 5374, 814, 7153, 607, 513, 9053, 1570, 19962, 547, 922, 4222, 267, 15006, 267, 543, 4187, 547, 14809, 269, 898, 568, 3810, 11684, 543, 666, 581, 9862, 547, 1585, 4070, 2115, 267, 1818, 621, 4998, 585, 4776, 5419, 730, 3334, 269, 5015, 267, 16243, 5374, 568, 513, 4264, 1570, 607, 621, 568, 476, 1911, 260, 6691, 762, 267, 26936, 609, 519, 10357, 7888, 3344, 540, 4776, 5419, 730, 4070, 269, 3371, 616, 930, 3156, 540, 16243, 5374, 538, 4776, 5419, 566, 912, 305, 624, 9771, 16243, 5374, 12992, 723, 513, 2647, 5044, 540, 3156, 538, 519, 7706, 540, 4776, 5419, 566, 1813, 547, 741, 4222, 543, 17545, 269, 2290, 540, 519, 1713, 4853, 3096, 540, 14328, 16243, 5374, 12992, 568, 538, 519, 4070, 540, 4776, 5419, 730, 2679, 14604, 269, 1452, 12992, 2709, 24077, 7293, 6617, 267, 543, 7064, 547, 741, 14328, 3337, 267, 789, 1450, 585, 6099, 2230, 13345, 1369, 519, 2679, 1374, 269, 901, 4999, 540, 4222, 543, 3608, 2230, 13345, 2306, 873, 606, 4998, 3903, 585, 4776, 5419, 730, 4070, 563, 14503, 520, 13063, 616, 1776, 2442, 3903, 538, 4776, 5419, 730, 4070, 1813, 547, 741, 544, 4150, 1464, 543, 8897, 540, 946, 269, 634, 17545, 540, 6366, 13063, 1797, 789, 666, 581, 1031, 585, 1585, 3156, 267, 1519, 804, 32061, 267, 32072, 267, 543, 7293, 7028, 269, 1358, 849, 2709, 5140, 12716, 9029, 950, 1031, 607, 16538, 26088, 538, 4776, 5419, 730, 5656, 563, 310, 790, 22203, 616, 513, 4105, 5057, 538, 4776, 5419, 730, 4070, 267, 2523, 538, 519, 2504, 540, 5374, 2173, 21983, 1106, 4103, 1031, 585, 6405, 269, 1452, 22203, 1683, 7293, 1489, 543, 2327, 602, 519, 1106, 1740, 15387, 922, 3337, 1282, 519, 26311, 543, 4259, 540, 6405, 269, 3958, 267, 5911, 22203, 666, 849, 581, 1031, 607, 15699, 538, 22606, 3774, 8440, 267, 7700, 547, 519, 2949, 4222, 543, 6617, 540, 4776, 5419, 730, 3889, 563, 7093, 325, 5419, 566, 568, 513, 3395, 7678, 538, 2413, 4070, 4213, 269, 3245, 4389, 4070, 2053, 547, 1447, 3653, 543, 2539, 3790, 267, 519, 2640, 540, 4776, 5419, 566, 616, 2312, 269, 1656, 609, 519, 7760, 538, 2029, 602, 1118, 621, 4443, 982, 2479, 1354, 267, 621, 779, 4742, 811, 543, 811, 2442, 269, 1403, 596, 2461, 3238, 538, 4070, 267, 621, 779, 6157, 1945, 596, 1058, 2015, 585, 707, 1985, 1788, 269, 0, 305, 13741, 1080, 616, 811, 982, 1175, 20036, 543, 524, 3291, 569, 10130, 1107, 789, 2461, 11537, 2818, 540, 1082, 3885, 1472, 519, 1158, 269, 1809, 609, 1390, 2648, 2501, 1390, 5539, 267, 2523, 950, 621, 2501, 547, 5329, 938, 24566, 2828, 2635, 543, 2922, 269, 2290, 540, 519, 7887, 4145, 585, 15529, 5411, 568, 2436, 741, 11537, 536, 22324, 1223, 7639, 513, 3032, 4323, 563, 290 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 713, 1576, 1770, 267, 649, 786, 5490, 883, 519, 4241, 1158, 540, 8613, 14789, 543, 28910, 2528, 998, 519, 7828, 540, 654, 2454, 2023, 5441, 781, 5993, 12139, 267, 634, 700, 2086, 1056, 269, 1635, 6313, 32461, 689, 634, 700, 2086, 1056, 267, 649, 2832, 547, 2263, 875, 8613, 14789, 616, 9112, 267, 6719, 267, 543, 10057, 1369, 2442, 2923, 27964, 269, 901, 1770, 11394, 547, 4161, 1053, 547, 1589, 9691, 827, 519, 1950, 2078, 1063, 8613, 267, 21239, 267, 543, 2686, 1379, 780, 1262, 4089, 476, 272, 281, 20472, 532, 1855, 4582, 2213, 5772, 885, 4373, 1103, 1931, 547, 1174, 519, 1909, 540, 8613, 14789, 538, 4207, 2486, 267, 621, 568, 1898, 602, 649, 4983, 519, 1184, 540, 14335, 741, 9163, 269, 901, 4070, 4386, 1312, 593, 1606, 10547, 543, 1055, 1606, 10547, 267, 5473, 2789, 8069, 971, 607, 12696, 267, 5830, 267, 1857, 1235, 267, 543, 11655, 269, 1280, 3236, 267, 2015, 519, 2081, 538, 799, 4583, 654, 2454, 2023, 5441, 620, 30282, 1522, 581, 17814, 538, 634, 700, 2086, 1056, 282, 891, 26007, 1419, 11168, 1808, 3344, 540, 741, 1915, 610, 4876, 10781, 267, 13167, 6386, 602, 13469, 609, 3988, 780, 265, 11314, 281, 21302, 606, 2376, 689, 634, 700, 2086, 1056, 10023, 513, 8037, 654, 2454, 2023, 5441, 620, 4379, 639, 945, 814, 22002, 513, 4876, 538, 8613, 269, 6333, 2055, 899, 281, 1215, 1281, 519, 1893, 1031, 3565, 547, 519, 5250, 540, 713, 1367, 781, 3961, 286, 1548, 2609, 540, 741, 1268, 320, 616, 12006, 267, 543, 1946, 1522, 1346, 1880, 3344, 723, 1044, 6074, 2496, 1262, 4089, 476, 273, 281, 11724, 725, 540, 5295, 543, 16958, 4373, 5938, 7697, 14789, 4749, 19582, 7158, 540, 1379, 543, 6392, 267, 2436, 607, 1007, 2675, 7539, 267, 2911, 1397, 14747, 267, 610, 4641, 6801, 269, 1452, 5107, 3337, 11994, 540, 6791, 543, 3310, 1514, 25327, 269, 5047, 267, 789, 6318, 2565, 2152, 4478, 6041, 267, 4763, 267, 543, 10014, 269, 3414, 922, 3817, 267, 634, 700, 2086, 1056, 3091, 3255, 547, 23827, 622, 519, 6384, 540, 1379, 5665, 1369, 751, 4582, 529, 783, 5624, 780, 265, 11314, 281, 25826, 4930, 538, 634, 700, 2086, 1056, 7234, 1585, 2010, 540, 8613, 14789, 269, 14484, 593, 875, 1114, 3029, 540, 1379, 543, 6392, 616, 4843, 267, 13934, 267, 610, 18674, 269, 9181, 1761, 6286, 585, 13588, 262, 8456, 2509, 6392, 5515, 538, 2489, 780, 1262, 4089, 476, 274, 281, 3117, 11167, 18270, 640, 9177, 4373, 23895, 14896, 640, 2528, 4249, 513, 1713, 851, 538, 5935, 2413, 7082, 2853, 269, 3245, 1587, 23596, 906, 547, 23335, 2358, 267, 8613, 14789, 1419, 4196, 607, 6725, 2645, 2966, 547, 9029, 547, 3376, 9458, 269, 1306, 6800, 4497, 609, 891, 28245, 267, 789, 7119, 538, 5571, 3157, 540, 7242, 14708, 543, 2495, 268, 18586, 269, 5548, 1324, 883, 634, 700, 2086, 1056, 781, 21517, 2636, 1053, 547, 5659, 3270, 540, 4616, 2404, 609, 751, 4582, 2213, 14789, 780, 265, 11314, 281, 31385, 22099, 12286, 538, 2250, 21820, 540, 634, 700, 2086, 1056, 269, 5808, 616, 930, 540, 519, 7986, 5515, 27479, 532, 2472, 267, 543, 1018, 6835, 798, 891, 23596, 906, 6655, 286, 3958, 267, 1865, 1022, 4296, 1063, 28910, 32107, 2994, 543, 9962, 6848, 2418, 610, 8155, 780, 1262, 4089, 476, 275, 281, 27684, 27639, 543, 12160, 2218, 13756, 4373, 293, 753, 1404, 513, 2629, 1909, 538, 4509, 28910, 4529, 998, 3742, 6278, 609, 5172, 2982, 267, 3197, 267, 543, 22407, 269, 6732, 5867, 5512, 10178, 2950, 547, 8853, 267, 2870, 2230, 585, 5717, 267, 10319, 13144, 267, 543, 1256, 17933, 269, 4841, 949, 946, 2200, 3177, 676, 634, 700, 2086, 1056, 547, 8495, 519, 1764, 540, 535, 24655, 593, 4207, 8613, 8916, 780, 265, 11314, 281, 10812, 5022, 610, 8292, 6810, 1369, 634, 700, 2086, 1056, 1141, 3988, 2671, 741, 4555, 593, 1585, 3584, 1644, 547, 654, 2454, 2023, 5441, 620, 30282, 610, 824, 8613, 14789, 269, 1215, 798, 891, 4205, 9414, 6626, 3466, 538, 29355, 2528, 286, 5015, 267, 2708, 875, 891, 7391, 5732, 3310, 2104, 11269, 540, 891, 2043, 593, 5496, 780, 3528, 2502, 7184, 609, 5931, 899, 634, 700, 2086, 1056, 267, 713, 1576, 1770, 7512, 1053, 547, 9772, 13857, 5380, 593, 519, 6946, 3347, 1851, 7900, 6575, 267, 8613, 267, 543, 28910, 2528, 269, 11086, 267, 5807, 2565, 3206, 1983, 1472, 891, 5396, 16877, 6267, 547, 6330, 1950, 25358, 5054, 811, 3927, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 21776, 1923, 476, 1001, 276, 454, 763, 5993, 12139, 585, 6196, 27258, 543, 14886, 540, 654, 2454, 2023, 5441, 454, 8855, 532, 938, 15468, 267, 476, 1911, 1296, 593, 454, 310, 2454, 2023, 5441, 6196, 27258, 685, 5948, 3040, 18161, 13340, 476, 8182, 10463, 267, 654, 2454, 2023, 267, 715, 313, 476, 277, 2190, 273, 3040, 20052, 281, 476, 6860, 476, 26764, 476, 26562, 278, 3040, 19478, 281, 4757, 11333, 2593, 454, 763, 700, 2086, 1056, 1923, 476, 1001, 276, 454, 3041, 306, 16604, 3143, 269, 476, 1839, 454, 310, 2454, 2023, 5441, 744, 10621, 18161, 13340, 476, 8182, 10463, 267, 654, 2454, 2023, 476, 277, 2190, 273, 20052, 281, 476, 6860, 476, 26764, 476, 26562, 278, 19478, 281, 18078, 17106, 11333, 3820, 454, 515, 700, 2086, 1056, 568, 3370, 12422, 585, 620, 30282, 543, 2828, 540, 654, 2454, 2023, 5441, 563, 302, 11017, 687, 6829, 798, 711, 454, 293, 27518, 267, 476, 736, 5239, 910, 10732, 267, 476, 2420, 5239, 476, 1001, 278, 454, 928, 947, 3320, 2992, 519, 5784, 540, 454, 8489, 616, 1411, 888, 1492, 5948, 610, 519, 5441, 269, 8028, 298, 301, 8582, 29612, 294, 4932, 19006, 281, 19577, 15105, 676, 16500, 681, 6016, 630, 4198, 280, 866, 8618, 1040, 5246, 2526, 1570, 13859, 676, 519, 5441, 779, 5246, 22999, 267, 623, 5417, 1014, 928, 715, 2465, 569, 269, 700, 2086, 1056, 7418, 267, 5955, 543, 10372, 616, 2141, 10950, 543, 666, 581, 2366, 547, 721, 693, 519, 1657, 2232, 269, 1284, 5660, 6217, 3377, 543, 1967, 2984, 607, 1134, 607, 8823, 543, 5955, 910, 649, 454, 2171, 917, 1034, 540, 596, 616, 711, 2965, 4503, 610, 7508, 1862, 530, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 25783, 19489, 300, 5058, 8121, 4811, 1315, 27657, 1315, 4937, 1315, 7641, 9608, 885, 543, 18270, 640, 9177, 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, 5149, 476, 276, 281, 19088, 545, 11470, 910, 10289, 519, 570, 4459, 3122, 1488, 3832, 6943, 538, 9085, 543, 28037, 9047, 692, 1103, 713, 1770, 267, 649, 5490, 883, 519, 4241, 7706, 540, 7242, 545, 5708, 267, 4481, 6313, 519, 8945, 3122, 18840, 6943, 1336, 2066, 1585, 4529, 543, 23447, 269, 1284, 2253, 676, 3695, 9478, 23720, 781, 1523, 540, 519, 8945, 3122, 4137, 607, 606, 20032, 540, 2150, 3139, 7399, 1369, 1480, 9637, 269, 901, 5012, 721, 547, 2015, 519, 1909, 540, 519, 8945, 3122, 538, 4207, 3332, 543, 21576, 267, 5373, 4296, 1063, 3140, 19183, 543, 2413, 12496, 269, 3414, 2502, 5717, 543, 16367, 9382, 267, 649, 10625, 519, 15851, 9029, 540, 891, 3197, 543, 741, 10083, 547, 938, 2729, 2221, 780, 296, 269, 4985, 547, 19088, 545, 11470, 543, 519, 570, 4459, 3122, 1488, 3832, 6943, 692, 288, 269, 20223, 19088, 545, 11470, 454, 6524, 11362, 883, 519, 2295, 540, 519, 2339, 267, 1577, 721, 3715, 513, 2324, 4214, 540, 7242, 545, 5708, 269, 769, 9759, 267, 7242, 545, 5708, 4016, 547, 6386, 602, 6451, 2609, 689, 7242, 3098, 267, 17691, 267, 18691, 267, 543, 18912, 8941, 1247, 20808, 513, 2178, 27733, 538, 4641, 269, 1452, 2984, 1419, 4183, 28531, 7068, 267, 16750, 5759, 267, 610, 824, 16447, 569, 5468, 7258, 1950, 1915, 1646, 543, 13857, 4798, 780, 289, 269, 1133, 17569, 532, 519, 570, 4459, 3122, 1488, 3832, 6943, 454, 4263, 922, 4295, 267, 519, 8945, 3122, 18840, 6943, 4564, 14784, 543, 4524, 267, 4101, 3964, 8155, 543, 14908, 998, 524, 7342, 267, 3765, 27815, 267, 610, 30739, 18326, 269, 1306, 7074, 676, 9478, 23720, 267, 519, 8945, 3122, 5713, 607, 513, 31026, 527, 585, 23257, 1819, 1761, 885, 1369, 519, 1480, 20369, 3832, 267, 27200, 14461, 2790, 21437, 543, 20872, 2123, 2208, 269, 10801, 1686, 267, 5515, 899, 595, 1195, 1774, 630, 30943, 1977, 1070, 1323, 753, 328, 630, 26156, 3979, 1070, 19555, 525, 630, 31528, 1070, 700, 758, 328, 630, 301, 16017, 1070, 543, 681, 13273, 630, 5575, 8315, 264, 723, 24009, 713, 1599, 538, 3309, 2686, 8658, 780, 290, 269, 20710, 3101, 19088, 1108, 543, 7073, 9012, 454, 2026, 23011, 661, 6975, 32625, 267, 9413, 4749, 2263, 4514, 4798, 9944, 741, 2627, 6386, 267, 1818, 873, 15417, 2666, 585, 5599, 519, 8945, 3122, 18840, 6943, 269, 1635, 7421, 7986, 1806, 689, 3332, 543, 21576, 267, 649, 666, 1732, 1174, 875, 891, 3504, 6698, 3136, 547, 3337, 543, 1217, 4207, 9423, 780, 2862, 269, 8466, 12745, 543, 12472, 540, 519, 570, 4459, 3122, 7612, 692, 288, 269, 9061, 4211, 8590, 10313, 11143, 454, 2414, 5963, 9787, 519, 829, 11663, 4369, 540, 519, 8945, 3122, 18840, 6943, 267, 621, 568, 1898, 547, 4983, 922, 16221, 23200, 2066, 1114, 12977, 269, 3245, 519, 15931, 17178, 1323, 753, 328, 538, 4639, 3979, 561, 648, 547, 519, 5546, 327, 14823, 5601, 700, 758, 328, 538, 25245, 13299, 267, 891, 9988, 9846, 18220, 2147, 7592, 5103, 5318, 10923, 543, 26567, 17337, 780, 289, 269, 16723, 21126, 454, 19465, 2390, 28044, 1014, 3069, 267, 799, 29102, 519, 6228, 540, 8471, 18840, 18196, 1369, 519, 7104, 17499, 267, 649, 2263, 875, 519, 8945, 3122, 24151, 3344, 540, 8103, 781, 3838, 5626, 6561, 269, 1635, 6236, 519, 8945, 3122, 607, 513, 3090, 540, 1065, 5962, 13821, 267, 32436, 25372, 267, 543, 24353, 5876, 267, 649, 2744, 3407, 4030, 883, 519, 11972, 9029, 540, 971, 5515, 2429, 1686, 780, 7656, 269, 12634, 2494, 28685, 725, 540, 519, 570, 4459, 3122, 1488, 3832, 6943, 538, 9085, 543, 28037, 9047, 692, 288, 269, 8865, 5525, 281, 5096, 344, 595, 13702, 9116, 543, 645, 13903, 645, 22324, 454, 10521, 11599, 1977, 1402, 2528, 5515, 1765, 12506, 4536, 2006, 5096, 344, 595, 13702, 9116, 543, 20419, 15529, 645, 13903, 645, 22324, 1765, 1410, 6374, 1518, 519, 8945, 3122, 18840, 6943, 538, 2189, 2081, 269, 14301, 16198, 1063, 891, 9583, 19635, 3197, 8761, 9670, 19320, 602, 22113, 6626, 3270, 1369, 1977, 7242, 6194, 780, 289, 269, 1546, 24554, 532, 5403, 19640, 570, 4459, 9094, 454, 8070, 19640, 3332, 1419, 2591, 2757, 2239, 3889, 267, 8508, 26610, 267, 13509, 267, 543, 1558, 2378, 12302, 2553, 269, 24167, 1568, 899, 7338, 623, 2106, 577, 517, 781, 834, 763, 595, 11538, 540, 20769, 476, 5392, 2437, 918, 4669, 966, 517, 10864, 583, 781, 834, 17954, 752, 9724, 540, 29073, 2437, 610, 4911, 11253, 25020, 781, 834, 763, 10552, 344, 25679, 257, 2636, 721, 547, 5660, 875, 4589, 13861, 1106, 543, 1543, 547, 1711, 3982, 1947, 8938, 23867, 2540, 1651, 7568, 725, 540, 519, 8945, 3122, 4137, 780, 4353, 269, 10390, 281, 16871, 24755, 657, 543, 29203, 538, 27884, 692, 3528, 2502, 609, 519, 3638, 13795, 540, 7242, 545, 5708, 543, 519, 15491, 8945, 3122, 18840, 6943, 267, 649, 11349, 513, 811, 10427, 7071, 585, 519, 1148, 540, 9423, 3294, 269, 20876, 519, 1871, 540, 14784, 267, 27171, 267, 543, 6988, 6087, 721, 547, 6330, 606, 5051, 10562, 2943, 5762, 3293, 1158, 267, 18136, 721, 547, 9784, 10462, 607, 513, 18463, 585, 7004, 543, 2208, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 291, 8283, 595, 13702, 9116, 2201, 853, 2794, 267, 8609, 543, 24897, 454, 2750, 1356, 14186, 689, 519, 14232, 1433, 676, 11518, 670, 1021, 454, 347, 834, 29909, 782, 1875, 2000, 30185, 13299, 814, 513, 8945, 3122, 268, 12516, 540, 930, 2186, 269, 3267, 1656, 972, 781, 513, 1360, 2027, 3959, 538, 519, 8945, 3122, 281, 646, 2141, 9397, 538, 267, 1175, 607, 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 ]

[ 936, 476, 275, 2929, 1453, 543, 1762, 1004, 1565, 1282, 1153, 5008, 999, 267, 1519, 476, 272, 269, 278, 2929, 6267, 538, 6281, 1153, 543, 7028, 519, 2197, 779, 1935, 540, 16471, 3068, 3562, 19904, 543, 2228, 1565, 563, 291, 5085, 8379, 320, 2882, 1079, 15961, 602, 2832, 547, 7794, 4244, 1565, 11444, 543, 1983, 1646, 585, 12790, 2516, 540, 1453, 543, 1762, 1004, 269, 3689, 267, 519, 8892, 10341, 585, 2353, 630, 12396, 275, 288, 264, 6663, 547, 7794, 11865, 540, 267, 543, 2569, 16526, 538, 267, 3059, 1983, 1646, 269, 901, 4745, 1788, 568, 9447, 676, 6167, 32019, 538, 11450, 609, 519, 12080, 540, 4065, 267, 17111, 7913, 19004, 15278, 267, 6226, 328, 543, 1488, 639, 267, 10223, 519, 2956, 540, 3818, 5498, 2758, 11450, 547, 2327, 2298, 1236, 3739, 3255, 269, 674, 306, 275, 288, 814, 8329, 547, 15364, 540, 1565, 1282, 519, 5046, 268, 866, 6855, 267, 609, 476, 3953, 267, 4335, 2189, 3755, 543, 811, 982, 476, 278, 2412, 267, 1822, 2985, 5784, 563, 28403, 1944, 519, 991, 547, 4497, 6267, 998, 1585, 5867, 267, 674, 306, 275, 288, 1543, 729, 6905, 547, 519, 29831, 8892, 10341, 28607, 27717, 8756, 267, 1141, 7044, 616, 1071, 29931, 730, 609, 1453, 269, 634, 8756, 814, 13631, 3592, 476, 1691, 267, 7785, 13794, 543, 936, 476, 273, 269, 278, 2929, 5784, 540, 519, 7044, 11540, 269, 17111, 18966, 540, 519, 32664, 568, 8876, 856, 1071, 268, 21551, 11925, 609, 3610, 543, 1053, 547, 1118, 674, 306, 275, 288, 1565, 2326, 1256, 811, 3015, 585, 1453, 609, 9124, 676, 1519, 1129, 1893, 7664, 269, 12697, 616, 849, 896, 1259, 547, 2699, 30472, 22356, 20164, 585, 12790, 1453, 945, 3668, 1569, 547, 3059, 3457, 543, 5924, 2228, 1565, 563, 763, 2034, 10872, 267, 6820, 22893, 1222, 4065, 630, 24774, 3633, 1070, 568, 13988, 547, 519, 3084, 6437, 543, 11394, 547, 7794, 8938, 23867, 2540, 1983, 543, 28093, 826, 513, 2208, 14820, 269, 634, 717, 290, 3633, 9074, 267, 513, 1106, 540, 18523, 1565, 267, 729, 9250, 593, 519, 667, 5085, 8379, 320, 3760, 538, 4989, 476, 1708, 272, 269, 898, 6663, 547, 7668, 6267, 547, 4497, 543, 8263, 3742, 18523, 5107, 1312, 12725, 543, 11451, 282, 547, 3068, 543, 8207, 2518, 2591, 282, 543, 547, 1831, 14942, 20334, 547, 513, 1158, 602, 568, 811, 1175, 267, 12560, 267, 27031, 267, 8537, 267, 5150, 543, 4264, 563, 763, 9074, 13071, 1053, 543, 3610, 1569, 4245, 1759, 593, 717, 290, 3633, 3785, 538, 2185, 2127, 281, 6128, 267, 2257, 267, 1686, 543, 11585, 269, 4841, 2263, 1271, 2035, 689, 1142, 1641, 998, 1483, 3734, 2152, 899, 2916, 1689, 267, 519, 5046, 268, 866, 6855, 267, 1569, 547, 2298, 2069, 267, 543, 4008, 7862, 269, 4595, 922, 4989, 10131, 267, 519, 717, 290, 3633, 9074, 814, 6603, 936, 476, 3199, 267, 1822, 3755, 609, 519, 1788, 2861, 4245, 563, 29310, 609, 4891, 267, 6167, 32019, 568, 2502, 609, 519, 12080, 540, 4065, 543, 14570, 1014, 29277, 4972, 593, 513, 12681, 547, 8831, 667, 5085, 8379, 320, 547, 476, 4335, 1700, 8517, 1453, 543, 1762, 1004, 538, 30969, 269, 4706, 1292, 1445, 568, 5499, 4485, 1644, 547, 2890, 29931, 323, 1113, 338, 543, 2104, 1983, 1646, 269, 0, 2005, 779, 5412, 476, 7277, 274, 269, 589, 5230, 7088, 986, 2471, 2066, 519, 6532, 269, 3807, 1055, 519, 13272, 267, 2282, 14529, 531, 476, 3066, 267, 519, 12284, 540, 519, 6833, 3619, 25005, 24410, 342, 19380, 922, 6370, 1996, 519, 4262, 543, 2842, 269, 634, 6928, 29826, 1318, 3544, 519, 2922, 3771, 13118, 269, 634, 6928, 779, 18535, 267, 1519, 14546, 689, 519, 10787, 5101, 267, 799, 941, 547, 581, 21775, 538, 519, 13814, 1310, 513, 1279, 3460, 267, 1106, 606, 4277, 18849, 344, 585, 6809, 601, 11824, 1260, 1499, 563, 12988, 1287, 267, 11824, 1260, 6883, 729, 2907, 13166, 19275, 543, 11824, 1260, 1499, 1131, 12404, 538, 519, 546, 17480, 267, 7996, 585, 18535, 547, 11547, 11849, 648, 269, 2290, 1554, 267, 621, 1131, 581, 29054, 540, 14723, 543, 804, 7174, 282, 1776, 1554, 267, 1225, 787, 269, 1358, 1031, 891, 14546, 2786, 2476, 269, 10395, 1441, 609, 1178, 11803, 543, 513, 2370, 630, 1778, 264, 4248, 267, 789, 4646, 513, 17705, 6006, 538, 799, 519, 11824, 1260, 1499, 1131, 3434, 741, 5779, 267, 3165, 543, 5388, 269, 901, 568, 875, 6809, 601, 4362, 519, 1082, 7399, 540, 1114, 14546, 689, 3833, 2038, 593, 269, 634, 11824, 1260, 1499, 5423, 741, 1426, 538, 2027, 17031, 31781, 281, 11824, 1260, 828, 779, 31781, 269, 8729, 547, 741, 17031, 3337, 267, 519, 3595, 519, 11824, 1260, 1499, 1131, 3434, 741, 1426, 593, 7948, 1406, 581, 19481, 689, 513, 3845, 269, 4653, 781, 11824, 1260, 828, 7594, 568, 5423, 593, 513, 2027, 6366, 6149, 269, 634, 2407, 8137, 540, 519, 4195, 3165, 267, 5388, 543, 5779, 568, 12873, 7064, 547, 694, 2130, 519, 1426, 2047, 593, 519, 3905, 6149, 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 ]

[ 14701, 338, 780, 1892, 20638, 476, 1556, 1700, 275, 281, 594, 666, 1265, 519, 3070, 547, 20270, 333, 23685, 3667, 346, 628, 24995, 333, 17353, 3667, 346, 628, 22288, 268, 323, 12801, 24267, 5276, 10001, 11679, 780, 1012, 10789, 692, 2162, 14497, 281, 27284, 14497, 540, 10789, 692, 288, 9971, 540, 4110, 1269, 333, 2330, 333, 8961, 1269, 303, 13375, 3287, 9368, 6661, 346, 320, 13925, 333, 2410, 343, 8703, 333, 15396, 346, 320, 13925, 333, 268, 272, 2410, 343, 8703, 333, 268, 272, 23180, 26984, 1341, 346, 320, 13925, 273, 2410, 343, 8703, 273, 15396, 346, 320, 13925, 272, 26507, 266, 346, 320, 13925, 271, 6525, 303, 3287, 6661, 320, 5332, 343, 18898, 1341, 513, 3709, 333, 268, 272, 26507, 3867, 333, 268, 272, 348, 1341, 1422, 26984, 1341, 513, 318, 273, 343, 317, 273, 1341, 513, 318, 272, 343, 1341, 513, 318, 271, 8961, 20270, 320, 13925, 333, 4153, 928, 476, 271, 2330, 320, 5332, 315, 928, 476, 271, 8961, 814, 4010, 1269, 333, 2330, 333, 259, 2188, 267, 10203, 3818, 2364, 885, 780, 2162, 4856, 3326, 776, 692, 3528, 27284, 14497, 540, 10789, 267, 1269, 303, 13375, 3287, 9368, 6661, 346, 320, 13925, 333, 2410, 343, 8703, 333, 15396, 346, 320, 13925, 333, 268, 272, 2410, 343, 8703, 333, 268, 272, 23180, 26984, 1341, 346, 320, 13925, 273, 2410, 343, 8703, 273, 15396, 346, 320, 13925, 272, 26507, 266, 346, 320, 13925, 271, 13157, 271, 2330, 303, 3287, 6661, 320, 5332, 343, 18898, 1341, 513, 3709, 333, 268, 272, 26507, 3867, 333, 268, 272, 348, 1341, 1422, 26984, 1341, 513, 318, 273, 343, 317, 273, 1341, 513, 318, 272, 343, 1341, 513, 318, 271, 284, 271, 8961, 1141, 20270, 320, 13925, 333, 4153, 928, 476, 271, 2330, 320, 5332, 315, 928, 476, 271, 8961, 814, 4010, 1269, 333, 2330, 333, 259, 3435, 780, 2162, 14572, 27155, 12307, 692, 2971, 20518, 5737, 16296, 543, 20023, 8605, 16296, 540, 13216, 10606, 692, 265, 7078, 476, 4905, 692, 259, 343, 317, 274, 21147, 284, 271, 1422, 23976, 1535, 3287, 317, 273, 266, 272, 6661, 271, 11138, 1422, 23976, 1535, 284, 271, 1422, 3667, 346, 610, 7684, 1535, 317, 273, 266, 272, 284, 271, 11138, 1422, 23976, 1535, 284, 271, 1422, 3667, 346, 610, 7684, 1535, 317, 273, 15871, 272, 11138, 1422, 23976, 1535, 284, 271, 1422, 3667, 346, 610, 7684, 1535, 15871, 328, 1422, 3667, 346, 610, 7684, 1535, 284, 328, 6911, 259, 320, 12757, 8703, 273, 15396, 321, 343, 25239, 284, 271, 22382, 343, 7807, 2765, 24877, 321, 22144, 315, 6912, 13997, 321, 8703, 273, 18511, 275, 659, 12453, 273, 320, 6525, 1314, 317, 273, 17070, 343, 25239, 284, 271, 1422, 23976, 1535, 7807, 13320, 24877, 321, 315, 10975, 25490, 15830, 317, 273, 268, 275, 659, 12453, 273, 320, 10592, 7462, 5494, 3234, 5364, 692, 763, 5806, 5364, 540, 513, 13392, 3830, 1269, 320, 12757, 8703, 273, 15396, 321, 343, 25239, 284, 271, 2330, 1314, 317, 273, 17070, 343, 25239, 284, 271, 259, 568, 20270, 321, 8703, 273, 18511, 275, 659, 2330, 321, 317, 273, 268, 275, 659, 16859, 763, 5806, 5364, 568, 1031, 547, 3313, 519, 2010, 540, 5072, 547, 513, 13392, 3830, 1384, 1892, 1403, 20270, 321, 8703, 273, 18511, 275, 659, 285, 271, 11377, 6234, 536, 317, 273, 268, 275, 659, 285, 271, 8961, 519, 519, 5072, 267, 20270, 337, 13925, 272, 9574, 346, 337, 13925, 273, 6525, 337, 318, 272, 267, 678, 318, 273, 259, 616, 3982, 630, 328, 4318, 1421, 1114, 264, 1483, 2338, 16963, 1892, 1403, 20270, 321, 8703, 273, 18511, 275, 659, 284, 271, 11377, 6234, 536, 317, 273, 268, 275, 659, 284, 271, 8961, 519, 519, 5072, 267, 20270, 337, 13925, 272, 13157, 346, 337, 13925, 273, 6525, 337, 318, 272, 815, 678, 318, 273, 259, 568, 513, 7368, 630, 328, 4318, 1421, 3818, 13109, 476, 273, 264, 1483, 1297, 16963, 1892, 1403, 20270, 321, 8703, 273, 18511, 275, 659, 283, 271, 11377, 6234, 536, 317, 273, 268, 275, 659, 283, 271, 8961, 519, 519, 5072, 267, 20270, 337, 13925, 272, 9574, 346, 337, 13925, 273, 6525, 337, 318, 272, 267, 678, 318, 273, 259, 31669, 6292, 540, 1950, 2338, 780, 7078, 476, 6349, 692, 259, 343, 317, 273, 14870, 266, 272, 284, 271, 1422, 23976, 1535, 7807, 13320, 24877, 8987, 272, 9385, 10975, 25490, 346, 8987, 272, 8203, 273, 268, 275, 263, 272, 7565, 272, 264, 12453, 273, 263, 272, 264, 27874, 1422, 23976, 1535, 7807, 13320, 346, 272, 315, 10975, 25490, 346, 272, 268, 275, 12453, 273, 27874, 1422, 23976, 1535, 7807, 13320, 346, 272, 315, 10975, 25490, 24877, 274, 12453, 273, 27874, 1422, 23976, 1535, 7807, 13320, 346, 272, 25829, 25490, 346, 274, 12453, 273, 348, 1422, 3667, 346, 610, 7684, 1535, 7807, 13320, 346, 272, 266, 328, 25490, 346, 274, 12453, 273, 10592, 288, 13392, 6438, 3830, 814, 519, 1106, 281, 1269, 320, 12757, 8703, 273, 333, 15396, 321, 12757, 8703, 333, 15396, 322, 284, 271, 19885, 22174, 1422, 13992, 23334, 6525, 315, 6234, 4949, 3867, 273, 333, 15396, 321, 343, 3867, 333, 15396, 322, 284, 271, 267, 562, 22174, 315, 13992, 23334, 31859, 7462, 6396, 547, 16534, 28065, 6441, 833, 12307, 454, 272, 269, 2913, 1269, 340, 28121, 343, 8703, 333, 6525, 315, 6234, 579, 24210, 3867, 333, 4151, 543, 12990, 883, 519, 13392, 6438, 3830, 16963, 273, 269, 16748, 1269, 320, 346, 340, 8703, 273, 15396, 25975, 25239, 284, 271, 22382, 315, 3847, 26086, 266, 338, 9368, 9385, 3847, 26086, 266, 339, 9368, 6661, 271, 11377, 6234, 14193, 317, 273, 17070, 340, 25239, 284, 271, 1422, 23976, 630, 340, 266, 338, 7565, 340, 266, 339, 6661, 271, 8961, 1141, 4399, 3847, 4433, 9368, 9385, 3847, 6025, 9368, 6661, 322, 2330, 263, 338, 7565, 339, 6661, 322, 259, 543, 1269, 338, 266, 339, 284, 321, 2330, 338, 266, 339, 284, 321, 259, 16963, 274, 269, 16534, 538, 2474, 540, 1269, 340, 2330, 340, 259, 281, 4399, 6234, 630, 340, 266, 338, 7565, 340, 266, 339, 6661, 271, 1422, 23976, 630, 340, 266, 338, 7565, 340, 266, 339, 6661, 271, 1422, 23976, 579, 15871, 338, 1422, 3667, 346, 610, 7684, 579, 15871, 339, 259, 16963, 275, 269, 16534, 538, 2474, 540, 1269, 343, 2330, 343, 259, 281, 1269, 340, 15871, 338, 22382, 346, 343, 8703, 333, 13157, 268, 338, 22382, 343, 7807, 3847, 8987, 338, 3189, 2431, 264, 23685, 2765, 346, 272, 2410, 333, 3686, 11377, 6234, 579, 15871, 338, 1422, 23976, 1535, 3867, 333, 13157, 268, 338, 1422, 23976, 1535, 284, 8987, 338, 8203, 3189, 2765, 346, 272, 2410, 333, 3686, 7445, 2908, 1467, 1269, 340, 15871, 339, 22382, 346, 343, 8703, 333, 13157, 268, 339, 22382, 343, 7807, 3847, 8987, 339, 3189, 2431, 264, 23685, 2765, 346, 272, 2410, 333, 3686, 11377, 6234, 579, 15871, 339, 1422, 23976, 1535, 3867, 333, 13157, 268, 339, 1422, 23976, 1535, 284, 8987, 339, 8203, 3189, 2765, 346, 272, 2410, 333, 32556, 7078, 476, 6734, 692, 259, 343, 317, 275, 266, 274, 343, 317, 273, 266, 275, 284, 271, 1422, 3667, 346, 2913, 7684, 579, 24210, 317, 273, 8607, 1422, 23976, 579, 317, 273, 266, 274, 340, 266, 275, 284, 271, 8607, 1422, 23976, 579, 7807, 2765, 24877, 274, 315, 10975, 25490, 346, 274, 317, 273, 268, 275, 263, 272, 7565, 275, 264, 12453, 273, 263, 272, 264, 27874, 1422, 23976, 579, 7807, 2765, 24877, 274, 315, 10975, 25490, 346, 280, 268, 1626, 12453, 273, 263, 272, 264, 27874, 1422, 23976, 579, 7807, 2765, 24877, 274, 25829, 25490, 346, 276, 12453, 273, 348, 1422, 3667, 346, 610, 7684, 579, 7807, 2765, 24877, 274, 266, 328, 25490, 346, 276, 12453, 273, 348, 8607, 1422, 23976, 1535, 317, 273, 7807, 2765, 24877, 274, 25829, 25490, 346, 276, 12453, 273, 348, 1422, 3667, 346, 610, 7684, 1535, 317, 273, 7807, 2765, 24877, 274, 266, 328, 25490, 346, 276, 12453, 273, 348, 8607, 1422, 23976, 1535, 7807, 6912, 3189, 2765, 24877, 274, 25829, 25490, 346, 276, 12453, 273, 3686, 1422, 3667, 346, 610, 7684, 1535, 7807, 6912, 3189, 2765, 24877, 274, 266, 328, 25490, 346, 276, 12453, 273, 32556, 1103, 1931, 547, 2328, 519, 3435, 538, 3044, 7047, 14198, 1106, 267, 649, 786, 991, 547, 946, 2029, 269, 1280, 1383, 267, 538, 4223, 11490, 320, 1384, 25991, 343, 272, 28949, 1483, 851, 540, 21762, 263, 8987, 274, 25829, 265, 6912, 263, 276, 4297, 315, 273, 264, 2608, 264, 273, 3725, 314, 306, 5720, 314, 8987, 274, 16927, 265, 306, 5720, 314, 276, 8079, 315, 273, 316, 274, 454, 275, 28949, 16494, 851, 540, 21762, 263, 8987, 274, 25829, 265, 6912, 263, 276, 4297, 315, 273, 264, 2608, 264, 276, 3412, 314, 306, 5720, 314, 8987, 274, 16927, 265, 306, 5720, 314, 276, 8079, 315, 273, 6540, 2971, 16338, 540, 5565, 10699, 525, 692, 259, 346, 320, 8703, 274, 2410, 343, 8703, 274, 18511, 346, 321, 8703, 274, 13157, 271, 22382, 315, 3847, 263, 1314, 1532, 9368, 9385, 3847, 20719, 320, 8703, 273, 2410, 343, 8703, 273, 15396, 629, 343, 266, 346, 321, 8703, 273, 4153, 2431, 6661, 271, 11377, 6234, 513, 317, 274, 343, 317, 274, 1532, 317, 274, 815, 476, 271, 1422, 23976, 1422, 3847, 263, 1314, 1532, 9368, 9385, 3847, 5416, 317, 273, 343, 317, 273, 266, 629, 343, 17070, 317, 273, 9368, 6661, 271, 6911, 7078, 476, 6187, 692, 259, 279, 343, 317, 274, 268, 272, 284, 271, 8607, 1422, 23976, 476, 273, 317, 274, 343, 317, 274, 268, 272, 317, 274, 284, 271, 8607, 1422, 23976, 1422, 3847, 263, 273, 343, 268, 272, 9368, 9385, 3847, 263, 273, 317, 273, 343, 317, 273, 23444, 273, 7565, 272, 32589, 266, 272, 317, 273, 9368, 6661, 271, 11138, 1422, 23976, 1422, 3847, 263, 273, 343, 268, 272, 9368, 9385, 3847, 263, 275, 343, 317, 273, 266, 273, 343, 266, 272, 9368, 6661, 271, 11138, 1422, 23976, 476, 273, 343, 268, 272, 284, 271, 1422, 3667, 346, 610, 7684, 476, 275, 343, 317, 273, 266, 273, 343, 266, 272, 284, 271, 8607, 1422, 23976, 1535, 7807, 13320, 346, 272, 2410, 273, 348, 1422, 3667, 346, 610, 7684, 1535, 7807, 13320, 24877, 272, 25829, 25490, 346, 274, 12453, 275, 348, 1422, 3667, 346, 610, 7684, 1535, 7807, 13320, 24877, 272, 266, 328, 25490, 346, 274, 12453, 275, 10592, 2971, 5681, 540, 5565, 10699, 525, 692, 259, 346, 320, 8703, 274, 2410, 343, 8703, 274, 15396, 346, 321, 8703, 274, 13157, 271, 22382, 315, 3847, 263, 1314, 17070, 9368, 9385, 3847, 20719, 320, 8703, 273, 2410, 343, 8703, 273, 18511, 629, 343, 266, 346, 321, 8703, 273, 4153, 2431, 6661, 271, 11377, 6234, 513, 317, 274, 343, 317, 274, 17070, 317, 274, 815, 476, 271, 1422, 23976, 1422, 3847, 263, 1314, 17070, 9368, 9385, 3847, 5416, 317, 273, 343, 317, 273, 268, 629, 343, 17070, 317, 273, 9368, 6661, 271, 6911, 2971, 15531, 2098, 14058, 4635, 21929, 17848, 14497, 543, 27155, 610, 16522, 4854, 10406, 692, 11693, 519, 9971, 20270, 320, 13925, 333, 2410, 343, 8703, 333, 15396, 346, 320, 13925, 333, 268, 272, 2410, 343, 8703, 333, 268, 272, 23180, 26984, 1341, 346, 320, 13925, 273, 2410, 343, 8703, 273, 15396, 346, 320, 13925, 272, 26507, 266, 346, 320, 13925, 271, 13157, 271, 267, 346, 320, 13925, 333, 4153, 928, 476, 271, 2330, 320, 5332, 343, 18898, 266, 320, 3709, 333, 268, 272, 26507, 3867, 333, 268, 272, 23180, 26984, 1341, 513, 318, 273, 343, 317, 273, 266, 320, 318, 272, 343, 266, 320, 318, 271, 284, 271, 28083, 5332, 315, 928, 476, 271, 6911, 4131, 20270, 335, 13925, 272, 9574, 346, 335, 13925, 273, 9574, 346, 335, 13925, 274, 9574, 315, 25854, 2330, 335, 318, 272, 28872, 318, 273, 28872, 318, 274, 12101, 24126, 259, 581, 519, 2188, 540, 20270, 320, 13925, 271, 6525, 320, 318, 271, 10608, 2913, 20270, 336, 13925, 272, 9574, 346, 336, 13925, 273, 9574, 346, 336, 13925, 274, 9574, 315, 25854, 2330, 336, 318, 272, 267, 336, 318, 273, 267, 336, 318, 274, 12101, 24126, 259, 581, 519, 2188, 540, 20270, 320, 13925, 333, 6525, 320, 5332, 10608, 3973, 519, 1305, 540, 1761, 7787, 5072, 540, 519, 9971, 616, 1384, 7445, 3847, 315, 3189, 2765, 13997, 335, 13925, 272, 12453, 346, 336, 13925, 272, 3686, 267, 10559, 2765, 13997, 335, 13925, 272, 12453, 346, 336, 13925, 272, 3686, 12101, 2765, 13997, 335, 13925, 272, 12453, 346, 336, 13925, 273, 3686, 267, 10559, 2765, 13997, 335 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 10819, 609, 30759, 543, 3007, 17211, 4713, 267, 607, 1134, 607, 3007, 17211, 30759, 4524, 267, 849, 1634, 607, 11838, 267, 616, 21022, 267, 16895, 3494, 267, 538, 1453, 945, 25058, 513, 1434, 6712, 540, 741, 942, 547, 7801, 3817, 563, 2791, 666, 1256, 1820, 856, 930, 543, 3180, 513, 7801, 6735, 10838, 707, 3214, 610, 707, 1362, 269, 898, 568, 782, 1932, 1455, 585, 519, 7801, 9212, 602, 616, 2016, 856, 543, 3144, 1753, 547, 1831, 4503, 267, 14324, 267, 610, 1835, 636, 9482, 909, 269, 30052, 971, 8697, 7801, 3817, 616, 1100, 946, 585, 519, 6735, 15042, 269, 14268, 666, 581, 25009, 547, 979, 2228, 543, 1820, 856, 10682, 7792, 7801, 3817, 269, 898, 1152, 3340, 513, 2780, 267, 5769, 4276, 267, 543, 513, 17002, 547, 2097, 909, 609, 971, 513, 16311, 7127, 10682, 563, 1103, 1931, 585, 513, 1126, 547, 581, 6126, 543, 1020, 1134, 267, 519, 1909, 602, 3237, 1404, 568, 5393, 2565, 269, 1358, 616, 519, 1126, 27231, 1101, 12325, 543, 2828, 269, 5753, 1451, 1034, 540, 741, 1101, 4245, 543, 2035, 540, 519, 1158, 1472, 873, 689, 741, 3237, 269, 901, 568, 1946, 3237, 1058, 1174, 519, 2081, 547, 2322, 741, 1126, 27231, 5876, 543, 2790, 5759, 547, 2318, 946, 269, 7324, 519, 15864, 2081, 547, 798, 713, 568, 998, 8716, 519, 1453, 538, 7801, 693, 513, 1762, 2085, 269, 5753, 945, 2253, 7801, 693, 606, 2038, 2085, 723, 7864, 2790, 2042, 982, 1346, 945, 21645, 269, 1358, 616, 849, 1732, 5830, 543, 5159, 267, 723, 2407, 518, 4337, 5209, 267, 543, 1451, 1271, 1272, 4245, 543, 2418, 811, 3362, 563, 2252, 596, 723, 2780, 267, 17002, 543, 4950, 693, 707, 1753, 596, 21645, 723, 547, 6108, 593, 519, 7199, 7801, 2835, 15042, 547, 4001, 9251, 3214, 693, 1753, 269, 898, 568, 1175, 513, 2339, 540, 3764, 269, 1411, 666, 5612, 1205, 519, 7801, 3817, 936, 519, 4950, 543, 1376, 8228, 519, 3817, 269, 1411, 4688, 513, 1390, 4308, 540, 2724, 563, 763, 5318, 2338, 540, 2640, 547, 1453, 8026, 593, 7801, 3817, 3274, 666, 711, 581, 936, 26061, 689, 513, 5626, 1448, 540, 2070, 269, 4706, 1271, 547, 1376, 1453, 593, 2653, 2592, 865, 602, 789, 666, 1995, 513, 2631, 540, 9740, 269, 1306, 741, 7801, 5578, 10607, 267, 789, 666, 581, 2016, 811, 1950, 3270, 543, 2592, 547, 2681, 269, 29179, 1453, 2835, 543, 3817, 547, 2681, 568, 513, 3810, 2500, 1259, 547, 948, 873, 1831, 1732, 5159, 543, 5830, 267, 547, 5512, 873, 547, 13404, 1732, 267, 547, 2569, 519, 10171, 602, 789, 786, 7985, 689, 2790, 2042, 267, 543, 547, 4001, 873, 1271, 1272, 4245, 543, 2418, 269, 5753, 945, 2253, 7801, 693, 513, 1762, 2085, 786, 2972, 519, 2640, 621, 666, 1655, 578, 585, 1296, 547, 2097, 563, 30357, 13192, 1067, 2742, 573, 7990, 532, 11824, 7801, 9212, 8020, 4486, 10856, 28581, 7801, 17500, 26818, 4302, 523, 25258, 556, 785, 17621, 7801, 771, 2284, 7990, 676, 2338, 585, 4079, 521, 9017, 7801, 1863, 7792, 5961, 540, 562, 18356, 10207, 519, 28581, 7990, 532, 1433, 1093, 651, 3000, 7801, 6486, 6777, 2006, 7801, 6656, 26818, 4302, 523, 1286, 25258, 13792, 7990, 532, 1863, 7792, 28581, 7801, 5961, 7792, 521, 9017, 5961, 20036, 28581, 7801, 5961, 1187, 5961, 547, 2681, 8020, 4486, 10856, 1286, 7990, 795, 11047, 710, 7801, 5961, 7792, 2915, 5961, 0, 8505, 4379, 2165, 476, 1708, 271, 454, 2419, 5190, 281, 835, 2460, 540, 938, 6249, 713, 2165, 568, 8628, 2242, 267, 585, 1383, 267, 1282, 519, 5986, 1184, 950, 1818, 3694, 610, 2250, 787, 269, 6271, 2460, 568, 27822, 543, 713, 786, 1331, 960, 593, 2048, 28062, 27014, 685, 1148, 1141, 649, 786, 1413, 693, 519, 960, 540, 5159, 543, 519, 2326, 789, 1031, 1354, 2870, 938, 1378, 4773, 540, 1148, 269, 27822, 8964, 568, 1187, 543, 649, 786, 2263, 1114, 8747, 540, 519, 1482, 5152, 543, 6430, 799, 649, 899, 1655, 256, 1284, 786, 849, 556, 14025, 2025, 3615, 547, 1118, 1945, 1007, 610, 1114, 269, 4438, 4563, 3778, 13600, 649, 786, 2263, 519, 570, 532, 320, 570, 532, 320, 2511, 540, 11247, 799, 12090, 538, 5101, 4000, 282, 519, 960, 6273, 676, 519, 5159, 685, 10450, 267, 519, 1292, 8984, 540, 570, 532, 320, 570, 532, 320, 10367, 1373, 15956, 269, 769, 1840, 1142, 20194, 786, 960, 593, 513, 2123, 1788, 1759, 593, 1010, 17017, 4690, 267, 585, 1383, 267, 31530, 7999, 547, 25587, 25624, 619, 267, 6004, 2142, 534, 610, 8111, 12516, 525, 269, 0, 7072, 1215, 547, 946, 713, 14469, 3391, 269, 589, 304, 288, 589, 273, 10334, 10495, 8160, 617, 2544, 476, 275, 281, 6052, 267, 6513, 543, 8033, 8462, 269, 4985, 269, 6052, 3761, 21085, 267, 16617, 543, 5786, 269, 16071, 11853, 269, 1763, 17508, 269, 27834, 543, 11558, 269, 5851, 23980, 269, 32471, 748, 11558, 269, 5811, 543, 5610, 269, 4053, 3380, 269, 769, 615, 13330, 269, 7352, 566, 269, 19139, 543, 4720, 269, 19032, 269, 7736, 6361, 21524, 2544, 2055, 8160, 617, 2544, 476, 276, 281, 5113, 269, 4985, 269, 6052, 2095, 998, 8134, 269, 715, 22021, 9979, 269, 26954, 2553, 269, 18868, 540, 8134, 269, 5274, 2238, 543, 519, 1604, 269, 7736, 6361, 21524, 2544, 2055, 269, 25715, 281, 11929, 9669, 269, 12226, 547, 2656, 2638, 2055, 269, 12226, 547, 1439, 6361, 21524, 2544, 2055, 269, 12039, 563, 3725, 341, 1047, 589, 273, 10334, 585, 589, 304, 288, 645, 676, 24023, 3367, 454, 28723, 5426, 10334, 585, 589, 304, 288, 454, 5825, 539, 910, 15020, 6153, 454, 303, 792, 5459, 4065, 17290, 454, 9349, 4605, 568, 585, 3879, 13577, 5301, 1152, 267, 4890, 11006, 267, 3382, 610, 7160, 949, 4268, 563, 1607, 568, 513, 1031, 1433, 910, 972, 568, 1100, 29400, 519, 1249, 621, 814, 1044, 1224, 676, 2576, 3116, 543, 621, 786, 1397, 4191, 540, 5957, 543, 3105, 946, 269, 15788, 649, 2503, 621, 547, 581, 538, 1360, 1434, 2783, 267, 855, 952, 596, 616, 711, 7357, 13854, 5225, 1205, 538, 5905, 609, 721, 269, 0, 309, 1204, 569, 2854, 543, 3015, 267, 634, 14564, 15244, 7507, 781, 7415, 4720, 689, 8498, 267, 547, 21257, 267, 547, 14081, 267, 543, 5555, 547, 835, 17907, 4341, 676, 606, 17169, 4171, 1379, 693, 922, 8445, 21401, 689, 10430, 547, 12925, 543, 519, 20407, 9503, 269, 674, 3305, 569, 16135, 538, 3504, 5339, 543, 1570, 2959, 267, 519, 1433, 6257, 543, 23607, 2101, 2797, 543, 4108, 21056, 267, 689, 519, 15722, 545, 12668, 267, 547, 19332, 781, 21037, 540, 717, 4954, 543, 1010, 15385, 540, 519, 11676, 6625, 267, 547, 519, 11802, 540, 4239, 822, 1014, 936, 4460, 4165, 3415, 267, 543, 547, 4790, 14932, 781, 10073, 540, 8567, 269, 898, 849, 12857, 971, 9159, 2043, 607, 30567, 756, 531, 267, 631, 603, 5090, 919, 267, 25048, 701, 344, 267, 595, 545, 3266, 267, 7581, 641, 21358, 267, 31217, 267, 700, 14746, 267, 715, 3266, 267, 29849, 589, 675, 2993, 639, 267, 543, 1744, 777, 584, 269, 634, 4589, 3382, 2152, 602, 1869, 13720, 2413, 2829, 5001, 267, 1519, 13137, 267, 10504, 2679, 267, 13618, 585, 3101, 267, 543, 2797, 26610, 269, 1358, 849, 11753, 1350, 31663, 525, 540, 1082, 3344, 540, 4948, 4936, 1272, 543, 5133, 734, 7945, 607, 519, 1909, 540, 2021, 267, 3332, 267, 9913, 267, 4884, 13807, 8911, 267, 2823, 571, 8132, 267, 543, 4984, 734, 12047, 2970, 908, 875, 7507, 781, 2208, 607, 513, 1533, 568, 538, 29323, 762, 689, 922, 1514, 543, 2686, 1646, 563, 29613, 531, 585, 6030, 538, 4936, 1686, 543, 4936, 10340, 267, 634, 14564, 568, 8476, 676, 3592, 476, 1911, 12383, 267, 811, 982, 476, 1789, 7851, 630, 2865, 3812, 676, 519, 9147, 2622, 29570, 4741, 1070, 543, 476, 2420, 21849, 21555, 602, 1683, 4241, 2686, 7422, 1500, 676, 3504, 14564, 2933, 269, 0, 18698, 14691, 5678, 15339, 538, 3131, 331, 454, 2421, 9291, 670, 5661, 454, 10831, 540, 3817, 281, 476, 3607, 279, 454, 1607, 1433, 6799, 606, 13016, 543, 7874, 4367, 547, 930, 540, 519, 4295, 2093, 538, 2413, 2780, 2257, 267, 1210, 519, 5752, 1893, 3131, 331, 607, 922, 6174, 269, 634, 1433, 3217, 519, 1106, 540, 513, 3126, 540, 2324, 3705, 1562, 585, 519, 1893, 623, 9928, 22351, 267, 799, 568, 513, 14583, 540, 30868, 269, 3962, 4528, 540, 519, 3705, 614, 13976, 2390, 519, 3105, 835, 267, 2394, 676, 519, 1439, 540, 519, 1433, 519, 623, 9928, 22351, 1893, 568, 3833, 4628, 6198, 543, 814, 930, 4277, 26208, 563, 12709, 2985, 29250, 454, 12606, 610, 1224, 621, 2228, 585, 1863, 1934, 912, 2421, 7917, 18491, 2401, 910, 744, 262, 3725, 11035, 9012, 454, 763, 1433, 3217, 513, 4195, 1413, 693, 3301, 1646, 269, 6355, 1004, 786, 1451, 875, 2473, 303, 6087, 6075, 3491, 13559, 1067, 2792, 585, 3608, 543, 8465, 4170, 11018, 269, 5358, 11302, 786, 1294, 875, 2473, 303, 2636, 873, 547, 1491, 11348, 538, 741, 4739, 563, 2421, 18238, 932, 1961, 339, 267, 853, 553, 645, 2131, 2006, 910, 744, 262, 3725, 11035, 454, 7116, 30648, 331, 568, 606, 28833, 9074, 602, 13976, 519, 3131, 331, 2047, 883, 519, 28833, 1357, 7746, 269, 2060, 1110, 30648, 331, 595, 22835, 20072, 2196, 476, 2004, 2053, 5488, 267, 596, 666, 11753, 12240, 609, 519, 7746, 269, 634, 1433, 568, 827, 2679, 267, 1210, 267, 5752, 267, 543, 17306, 1110, 30648, 331, 563, 2421, 22735, 654, 784, 910, 744, 262, 3725, 11035, 454, 10870, 951, 7097, 532, 547, 519, 5680, 267, 9238, 11422, 1606, 13996, 2792, 267, 1603, 5680, 7218, 585, 1455, 4247, 3678, 26494, 267, 7020, 540, 7745, 6402, 593, 513, 3896, 269, 634, 1433, 540, 1719, 547, 1357, 16984, 267, 1133, 1460, 23501, 543, 3301, 9367, 563, 2421, 6985, 1738, 910, 2201, 344, 343, 3026, 517, 4964, 454, 17457, 3131, 331, 568, 835, 1259, 547, 4766, 875, 4810, 543, 2500, 3131, 331, 476, 276, 23501, 960, 269, 1358, 946, 1893, 18986, 1682, 269, 1358, 1491, 5413, 540, 519, 8713, 3198, 269, 1358, 2811, 2369, 714, 2406, 3131, 1501, 267, 543, 789, 1397, 1434, 23477, 543, 513, 2407, 1620, 540, 3131, 331, 269, 0, 7212, 5640, 1419, 9305, 547, 28622, 607, 513, 3069, 267, 476, 275, 621, 568, 2731, 711, 519, 1826, 540, 1523, 609, 799, 1082, 3744, 602, 616, 1514, 5432, 269, 2334, 568, 267, 28622, 1281, 711, 723, 1022, 4295, 2609, 610, 4632, 1831, 10512, 1242, 543, 10686, 1227, 7318, 269, 1306, 513, 1267, 267, 649, 2061, 519, 2165, 1523, 538, 1489, 540, 2474, 971, 607, 585, 1383, 7811, 5943, 610, 5133, 602, 20301, 28622, 607, 513, 2603, 811, 540, 606, 10763, 5943, 610, 17565, 982, 513, 6671, 3069, 602, 568, 1449, 762, 269, 15742, 569, 267, 28622, 8977, 338, 689, 2757, 24118, 267, 1979, 12786, 24173, 267, 543, 26447, 26336, 799, 723, 8032, 6646, 267, 2489, 2489, 2489, 2489, 1857, 9716, 267, 10123, 519, 824, 1514, 9443, 538, 513, 1297, 540, 1883, 1797, 269, 589, 4901, 602, 568, 3102, 540, 21441, 568, 3564, 519, 2039, 609, 713, 2376, 269, 17968, 267, 1284, 3277, 8436, 547, 32544, 543, 3474, 571, 5336, 539, 2088, 779, 1428, 11108, 3184, 593, 28622, 543, 2021, 779, 9716, 585, 799, 789, 30881, 519, 21441, 10838, 519, 2025, 1922, 5831, 539, 24118, 267, 1979, 12786, 24173, 267, 543, 26447, 26336, 543, 28622, 563, 2171, 1413, 693, 519, 4295, 3741, 540, 28622, 1082, 3810, 4143, 547, 2489, 1857, 9716, 547, 581, 519, 1739, 281, 630, 272, 264, 1514, 9163, 5749, 1405, 5094, 543, 796, 573, 7645, 855, 3875, 543, 12969, 532, 267, 630, 273, 264, 11570, 689, 3875, 13840, 31345, 543, 12790, 6887, 616, 519, 17122, 610, 4358, 1747, 267, 543, 630, 274, 264, 3875, 1514, 9163, 1282, 519, 2890, 4110, 630, 514, 824, 1913, 1421, 28963, 540, 5198, 267, 4008, 267, 543, 590, 2464, 264, 12969, 609, 12550, 24038, 7293, 18125, 630, 1721, 1383, 1421, 6710, 267, 10168, 267, 543, 3023, 1143, 264, 547, 9414, 610, 1711, 19635, 9716, 2164, 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 ]

[ 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, 8080, 547, 938, 1148, 1362, 256, 4653, 649, 2811, 2469, 547, 1451, 827, 1945, 2731, 3579, 1572, 834, 333, 1551, 894, 1869, 1272, 1701, 5620, 596, 2479, 6743, 5702, 693, 606, 1843, 543, 2219, 827, 782, 519, 1114, 2984, 621, 1223, 2995, 286, 2334, 781, 1018, 2870, 513, 2239, 1869, 1272, 568, 782, 827, 256, 1284, 786, 3442, 930, 3688, 602, 1611, 1945, 2027, 547, 721, 267, 6582, 873, 538, 513, 2189, 1259, 267, 543, 1287, 2721, 610, 5862, 873, 547, 3142, 1346, 3615, 547, 1272, 780, 5575, 267, 1577, 781, 1376, 676, 6158, 827, 1018, 1869, 1272, 1797, 269, 1411, 1522, 723, 4862, 713, 2165, 1354, 1107, 6148, 707, 4116, 610, 2576, 3116, 5018, 621, 950, 789, 941, 7234, 1148, 269, 15439, 2322, 267, 1869, 1272, 4016, 547, 11247, 602, 6212, 593, 538, 534, 1493, 630, 2254, 9800, 264, 3615, 899, 5613, 267, 5810, 267, 642, 1162, 267, 2835, 267, 9162, 267, 610, 4376, 3116, 602, 3085, 1405, 1847, 1472, 593, 922, 1378, 269, 20551, 1419, 1305, 909, 891, 3615, 1927, 538, 4277, 12417, 543, 7001, 873, 538, 741, 1148, 4773, 780, 3086, 267, 4952, 952, 649, 3576, 1346, 1482, 3615, 543, 5795, 873, 513, 5728, 1650, 610, 3773, 513, 6456, 5048, 3297, 873, 269, 1635, 3257, 865, 267, 649, 2981, 938, 2241, 1869, 1272, 883, 513, 2239, 1869, 1272, 256, 901, 1826, 540, 1148, 3096, 3615, 547, 2671, 513, 6209, 1650, 610, 6655, 4664, 602, 2339, 547, 721, 13948, 269, 9462, 492, 357, 27077, 357, 692, 4131, 803, 2285, 596, 606, 1383, 269, 14597, 596, 2648, 7836, 942, 13964, 543, 1616, 547, 2671, 602, 6612, 998, 707, 1148, 269, 1280, 707, 2239, 1869, 1272, 267, 596, 5531, 3688, 899, 513, 5172, 11058, 267, 19482, 25192, 267, 10822, 22811, 338, 267, 543, 3552, 25154, 269, 1879, 11231, 5402, 267, 891, 3615, 7618, 13588, 540, 4190, 9035, 1851, 2470, 269, 1656, 950, 6537, 5578, 2685, 267, 1866, 666, 1745, 519, 7772, 543, 10761, 596, 1995, 1282, 707, 9205, 15322, 269, 15346, 267, 1318, 31841, 6524, 11362, 883, 5373, 610, 7206, 1175, 2943, 267, 972, 616, 1079, 1898, 3268, 547, 2015, 281, 25786, 519, 3615, 543, 1565, 875, 547, 1655, 9446, 873, 538, 707, 1148, 4062, 269, 2913, 781, 1865, 1142, 835, 2630, 780, 1262, 3721, 476, 272, 281, 28081, 2659, 27014, 4373, 2691, 4259, 909, 707, 3615, 267, 1589, 21176, 256, 6333, 875, 789, 9305, 547, 1142, 824, 543, 799, 7158, 1131, 1413, 1034, 10578, 269, 8347, 11093, 873, 2673, 1927, 610, 10825, 873, 6306, 267, 17568, 873, 1164, 610, 1970, 267, 610, 1256, 20718, 873, 5594, 269, 5457, 267, 4657, 519, 4463, 267, 5086, 267, 3845, 267, 543, 10066, 540, 707, 3615, 8591, 3178, 543, 1719, 547, 707, 5888, 269, 1924, 1810, 1405, 19292, 547, 4603, 2394, 596, 1265, 519, 3501, 11768, 780, 1262, 3721, 476, 273, 281, 9457, 9866, 3569, 543, 26435, 4373, 2414, 5963, 7001, 707, 6074, 3615, 538, 513, 9159, 6073, 267, 2259, 16994, 8343, 543, 1020, 4396, 4480, 269, 30488, 949, 3006, 26777, 3877, 899, 20224, 267, 18759, 267, 610, 1507, 18282, 602, 1039, 17779, 543, 1915, 547, 519, 960, 269, 1809, 4250, 711, 256, 594, 6415, 1934, 547, 3391, 596, 1169, 1900, 540, 519, 1259, 780, 9359, 676, 1210, 1434, 8654, 269, 9255, 707, 14764, 2282, 513, 6885, 609, 2067, 1769, 610, 1985, 547, 513, 17689, 269, 3973, 2695, 842, 707, 4064, 1247, 1350, 3496, 693, 707, 6429, 1765, 4777, 532, 865, 29776, 1950, 5546, 543, 8711, 1883, 2127, 547, 1445, 593, 269, 1306, 596, 2721, 610, 5862, 267, 3314, 547, 2736, 1524, 3677, 3615, 883, 4130, 2694, 543, 10994, 873, 7930, 269, 5213, 1405, 7340, 547, 7747, 543, 30712, 519, 8728, 267, 15174, 267, 14258, 267, 543, 32725, 8308, 269, 9796, 3007, 547, 27864, 1932, 282, 18632, 18565, 5815, 1141, 519, 1769, 2707, 3884, 1405, 8757, 267, 4946, 10155, 543, 1818, 519, 3615, 2408, 811, 10853, 780, 5629, 596, 4312, 3893, 519, 13793, 540, 4977, 6041, 267, 2119, 6220, 22192, 7436, 547, 21592, 707, 2239, 1869, 1272, 2417, 269, 5890, 4809, 7436, 3277, 547, 11453, 560, 15809, 610, 3515, 602, 979, 3564, 6071, 18643, 540, 4641, 269, 1452, 18532, 7912, 8460, 666, 2303, 3350, 267, 7099, 267, 610, 7553, 1369, 707, 11247, 269, 5994, 5923, 6853, 12269, 16841, 16213, 22488, 20224, 2066, 707, 3615, 267, 610, 5310, 5230, 986, 785, 28979, 1253, 15659, 519, 2070, 5705, 569, 269, 4635, 22192, 7436, 6087, 596, 547, 5968, 1454, 811, 982, 8806, 25718, 23079, 780, 3528, 1631, 267, 596, 1590, 581, 11235, 547, 1205, 3323, 256, 3807, 3314, 602, 9639, 543, 18094, 2628, 1055, 269, 2060, 2614, 11428, 543, 15131, 267, 4166, 2614, 267, 596, 3513, 1711, 22539, 2239, 1869, 2729, 4904, 609, 8903, 2984, 7996, 547, 11200, 269, 8414, 2870, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 301, 1551, 894, 12846, 5020, 5741, 454, 10743, 1711, 1367, 1869, 12468, 602, 946, 3615, 547, 2099, 2239, 2984, 827, 5396, 1271, 547, 873, 269, 4841, 1101, 946, 10565, 8654, 543, 2099, 1049, 2553, 547, 12927, 22423, 543, 2930, 1983, 269, 8921, 1053, 2263, 875, 22192, 7436, 666, 948, 18427, 4514, 2035, 563, 763, 9059, 540, 513, 1869, 1272, 568, 602, 621, 666, 1397, 721, 513, 1007, 1259, 540, 3168, 693, 519, 8723, 3615, 1472, 721, 269, 4495, 3615, 616, 5116, 883, 513, 1808, 11460, 543, 1287, 9676, 538, 5862, 267, 13504, 267, 2250, 601, 267, 610, 1022, 824, 5420, 910, 519, 3615, 1491, 593, 513, 2898, 1007, 2495, 269, 1358, 616, 28093, 4240, 609, 513, 1272, 3564, 519, 8723, 269, 4256, 6228, 3587, 6592, 538, 942, 269, 634, 1292, 6662, 540, 713, 1788, 568, 585, 1053, 547, 1711, 2123, 1869, 1272, 5396, 602, 6813, 513, 2239, 1650, 610, 3152, 12572, 2495, 269, 589, 1869, 1272, 568, 606, 7499, 6041, 540, 538, 534, 1493, 3615, 267, 2356, 4948, 1919, 971, 607, 669, 778, 330, 625, 267, 4829, 267, 5810, 563, 19352, 532, 689, 1272, 2636, 5159, 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, 7689, 7170, 281, 31327, 2659, 13574, 18768, 281, 589, 8342, 6651, 547, 15775, 12085, 667, 821, 2439, 20756, 972, 267, 2104, 3401, 256, 5620, 596, 2479, 4941, 547, 1711, 1945, 5863, 609, 707, 2828, 286, 9320, 1628, 513, 8773, 267, 1544, 513, 2146, 2680, 267, 610, 2328, 513, 1650, 1927, 286, 4270, 267, 7058, 1018, 286, 1411, 666, 798, 621, 256, 1656, 649, 2811, 1934, 547, 948, 596, 1451, 875, 547, 4383, 707, 1378, 3785, 899, 513, 605, 269, 1284, 1289, 713, 12474, 15369, 5678, 19019, 267, 1141, 596, 1451, 1007, 1983, 1247, 2348, 1187, 538, 513, 4914, 1893, 1362, 269, 4653, 267, 1577, 781, 4685, 883, 519, 1158, 540, 1788, 2359, 2439, 1262, 1432, 1281, 621, 1611, 547, 4383, 513, 1788, 15140, 19061, 2359, 1797, 12180, 543, 3056, 513, 1895, 540, 1004, 547, 2347, 513, 1808, 4305, 1369, 513, 1978, 942, 7406, 269, 898, 1522, 3280, 2352, 693, 1101, 267, 855, 1810, 1405, 5855, 1107, 676, 1565, 930, 2241, 3268, 267, 596, 666, 1831, 513, 9735, 1788, 9614, 2439, 265, 5331, 602, 596, 543, 707, 25097, 1616, 547, 1376, 513, 12202, 8630, 693, 1153, 269, 1677, 4383, 713, 1788, 267, 596, 786, 991, 547, 17041, 692, 272, 269, 16294, 519, 3804, 910, 32341, 1018, 2186, 540, 4677, 596, 1616, 543, 1946, 563, 273, 269, 4643, 6619, 910, 7994, 950, 543, 1141, 596, 3513, 960, 593, 519, 4677, 563, 274, 269, 19147, 4247, 910, 25849, 6009, 547, 1142, 4759, 267, 899, 14450, 2371, 610, 2679, 6659, 15135, 563, 275, 269, 13773, 12592, 910, 11559, 3025, 547, 1832, 2324, 2182, 2509, 519, 1455, 3804, 563, 276, 269, 28509, 3790, 910, 6056, 827, 2081, 547, 1205, 2200, 267, 899, 3037, 610, 5452, 267, 1510, 7836, 1932, 1454, 2724, 780, 1262, 3963, 568, 9363, 12592, 1271, 15140, 300, 582, 10474, 568, 2629, 1317, 621, 2337, 721, 3251, 5059, 543, 9599, 827, 8757, 938, 3853, 269, 1879, 1919, 3100, 9157, 267, 19551, 1946, 649, 3323, 519, 1788, 8952, 721, 2469, 2178, 269, 1280, 1383, 267, 952, 835, 1554, 2576, 7959, 13110, 610, 796, 15517, 539, 538, 519, 12202, 8630, 267, 3206, 827, 875, 4190, 519, 4677, 786, 1413, 543, 782, 519, 3579, 7068, 789, 1223, 4482, 786, 5818, 741, 1648, 1586, 2439, 1262, 1692, 666, 594, 6023, 1788, 3790, 15140, 31572, 3790, 3085, 1406, 2141, 1611, 1210, 6266, 540, 2724, 269, 5502, 267, 1589, 21176, 256, 9105, 2199, 4213, 585, 23190, 267, 946, 13381, 2326, 267, 610, 1256, 3984, 2508, 24597, 2621, 269, 5457, 267, 1169, 29784, 12523, 267, 865, 5329, 3950, 540, 9276, 5849, 596, 4465, 1405, 2196, 856, 540, 7482, 1354, 18138, 707, 1788, 780, 1262, 3086, 267, 616, 596, 4712, 547, 1291, 707, 1378, 3785, 15140, 2080, 781, 513, 2656, 973, 777, 540, 1018, 596, 4121, 2221, 1384, 265, 5741, 2359, 3322, 10747, 3853, 267, 2870, 513, 1544, 267, 12270, 4247, 267, 4509, 15131, 267, 543, 9013, 3790, 563, 265, 31802, 4249, 513, 1713, 1909, 538, 3811, 1788, 12032, 563, 265, 12754, 995, 3206, 17990, 2724, 543, 2306, 3785, 811, 4264, 780, 3383, 979, 6619, 543, 5531, 707, 2319, 256, 2060, 891, 2645, 896, 707, 12966, 267, 596, 2811, 5423, 547, 7832, 593, 1022, 7045, 543, 3142, 6909, 2093, 547, 1272, 269, 8414, 9544, 267, 8193, 267, 6427, 532, 267, 610, 8726, 3116, 8743, 956, 707, 16681, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 20428, 281, 4317, 7070, 267, 4065, 27511, 281, 2875, 3785, 282, 2875, 1788, 2359, 282, 1942, 282, 8404, 454, 15697, 281, 476, 280, 4728, 476, 1708, 274, 630, 6349, 281, 4366, 281, 6021, 595, 4953, 994, 22923, 1788, 2359, 568, 4742, 5051, 1271, 538, 1585, 5468, 971, 607, 2930, 15731, 267, 4058, 15731, 267, 543, 1382, 20682, 269, 1717, 267, 2500, 16097, 585, 5883, 2875, 21445, 3785, 723, 711, 2943, 1044, 3964, 269, 901, 1353, 6663, 547, 2232, 1883, 2152, 1644, 547, 1942, 543, 8404, 538, 2875, 21445, 3785, 543, 15974, 2500, 6454, 4566, 269, 634, 4644, 540, 713, 1353, 6013, 538, 922, 1761, 547, 2697, 2591, 5185, 538, 1699, 2875, 1788, 2359, 2853, 543, 2709, 3435, 547, 11574, 4220, 269, 1635, 4687, 938, 4681, 267, 649, 2832, 547, 5000, 2417, 1382, 593, 713, 1888, 543, 3895, 519, 10073, 540, 2500, 16097, 585, 5883, 2875, 21445, 3785, 563, 2752, 12087, 4041, 1923, 8222, 281, 1015, 269, 20385, 4510, 270, 2181, 21646, 1708, 21709, 269, 30203, 271, 18192, 272, 454, 20428, 281, 4317, 7070, 267, 4065, 27511, 281, 32492, 23008, 2524, 282, 6732, 4804, 282, 2289, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 32098, 15369, 5678, 19019, 257, 607, 851, 540, 834, 3633, 24102, 1315, 645, 13308, 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, 7689, 281, 10515 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7736, 6361, 21509, 5516, 693, 5851, 281, 589, 18043, 16709, 540, 16610, 267, 7351, 12367, 267, 543, 7464, 21509, 6201, 692, 7072, 692, 2026, 2564, 4648, 267, 621, 568, 1898, 547, 1174, 519, 14960, 4478, 1439, 6361, 3734, 630, 292, 5357, 264, 1416, 267, 2523, 950, 9447, 1369, 519, 4313, 540, 513, 3461, 781, 1753, 269, 901, 1106, 540, 1416, 11865, 814, 6591, 1713, 3007, 1813, 547, 4657, 15295, 3466, 267, 7760, 538, 3782, 2029, 267, 543, 3395, 7375, 1851, 2550, 543, 741, 3885, 269, 769, 713, 3184, 267, 649, 5490, 883, 1585, 3344, 540, 661, 5357, 1416, 693, 1753, 267, 1519, 922, 4214, 267, 2640, 267, 2591, 267, 14104, 3681, 267, 543, 3609, 6286, 269, 1284, 2253, 676, 3695, 519, 1523, 540, 661, 5357, 1416, 693, 1753, 543, 1946, 621, 6927, 538, 4207, 3782, 11407, 780, 8139, 7736, 6361, 21509, 5516, 693, 5851, 692, 17484, 6361, 3734, 1416, 4016, 547, 519, 1489, 3177, 547, 2043, 945, 616, 683, 2130, 519, 12363, 5933, 540, 741, 2729, 269, 634, 2622, 2657, 9257, 11225, 23080, 14306, 1416, 267, 799, 2882, 661, 5357, 1416, 267, 607, 606, 1935, 6322, 693, 5355, 2298, 540, 1272, 585, 2550, 543, 741, 3885, 6849, 1272, 29438, 1746, 10108, 998, 6604, 267, 2038, 8446, 267, 4879, 267, 543, 2359, 540, 2168, 2589, 267, 26447, 2152, 267, 543, 5289, 11605, 269, 1879, 971, 1416, 568, 13950, 1369, 513, 1268, 781, 15335, 267, 621, 3587, 1634, 607, 661, 5357, 1416, 693, 1753, 780, 763, 4644, 540, 661, 5357, 1416, 693, 1753, 14340, 689, 1896, 2188, 269, 3689, 267, 8441, 538, 4915, 723, 3366, 547, 2799, 15325, 267, 4611, 538, 3677, 10172, 5095, 8506, 7463, 1416, 269, 5822, 267, 1082, 1004, 2769, 513, 7287, 547, 6108, 741, 3803, 2395, 11303, 676, 5432, 5054, 543, 6068, 3283, 2864, 982, 538, 12250, 5468, 899, 10506, 610, 8808, 5321, 269, 12059, 267, 3246, 661, 5357, 1416, 693, 1753, 949, 1267, 538, 8101, 1942, 9806, 3379, 547, 6413, 3074, 1247, 4509, 6697, 4093, 780, 19119, 543, 12694, 540, 21278, 7736, 6361, 21509, 5516, 693, 5851, 692, 3080, 3119, 5413, 540, 12419, 661, 5357, 1416, 693, 1753, 25701, 547, 4824, 3461, 9547, 543, 5626, 8171, 269, 5525, 1397, 602, 2550, 8391, 1753, 2861, 1416, 1995, 4389, 4160, 543, 4965, 2157, 267, 2362, 4080, 2298, 540, 1272, 267, 543, 1732, 10835, 1852, 3379, 547, 1346, 23493, 538, 5238, 269, 5015, 267, 1920, 2818, 7674, 607, 13016, 15637, 1419, 17589, 2495, 543, 3483, 689, 12391, 585, 741, 6068, 3283, 1282, 891, 2565, 8090, 780, 4913, 267, 3246, 661, 5357, 1416, 693, 1753, 2501, 609, 2189, 2591, 269, 1280, 3236, 267, 5883, 1950, 4791, 2175, 3544, 2757, 3782, 6703, 666, 6961, 18447, 585, 1312, 2550, 543, 741, 15637, 269, 7457, 547, 3617, 2200, 267, 3937, 267, 6527, 267, 543, 9952, 10986, 949, 10460, 2845, 6750, 23665, 269, 5047, 267, 10188, 5683, 21140, 2404, 609, 3375, 6194, 1472, 3853, 540, 1416, 267, 4359, 1463, 1161, 267, 543, 798, 27677, 9113, 19895, 10028, 9753, 3340, 8417, 543, 6791, 780, 19226, 3496, 18169, 543, 8889, 19047, 692, 8469, 545, 732, 543, 27083, 1404, 2629, 5107, 538, 14104, 661, 5357, 1416, 2533, 538, 519, 2136, 2276, 269, 13018, 267, 896, 519, 24310, 9869, 823, 5484, 24674, 267, 14718, 18689, 25808, 666, 1569, 513, 2039, 540, 11215, 1416, 2533, 3358, 2509, 5870, 741, 2168, 267, 3929, 267, 1514, 267, 543, 5289, 2115, 269, 1452, 2533, 7854, 1928, 2359, 267, 10835, 8323, 267, 581, 516, 29713, 13508, 267, 543, 15321, 1489, 267, 1851, 1866, 269, 12830, 569, 267, 519, 15544, 585, 24310, 1299, 27083, 7896, 630, 290, 5960, 264, 32158, 2720, 525, 4662, 1182, 1210, 513, 829, 1019, 655, 8569, 1062, 267, 4180, 22150, 8907, 12535, 585, 3028, 7426, 780, 8601, 891, 14074, 267, 10616, 6414, 538, 5466, 3309, 661, 5357, 1416, 2115, 18113, 269, 25408, 267, 7687, 13684, 593, 1225, 894, 5574, 896, 4540, 6142, 10850, 1711, 7496, 547, 12905, 1569, 543, 11558, 1063, 1114, 3782, 9922, 269, 1677, 2232, 891, 28919, 267, 5499, 3631, 6220, 1871, 2861, 11033, 543, 4244, 8569, 6127, 723, 7153, 269, 6270, 4485, 10996, 643, 1125, 1164, 7779, 267, 3608, 1416, 6765, 2066, 2789, 5468, 267, 7551, 7393, 2949, 15364, 543, 15774, 1145, 780, 6962, 692, 1103, 3932, 267, 661, 5357, 1416, 693, 1753, 4564, 606, 9687, 2361, 6353, 676, 3875, 3255, 543, 2591, 269, 1306, 2564, 9439, 267, 11543, 15334, 538, 713, 6389, 19329, 16565, 13654, 1702, 3823, 1655, 2853, 267, 6932, 3466, 267, 543, 2963, 2861, 7459, 269, 1635, 3257, 865, 267, 649, 3565, 547, 5807, 6099, 1416, 2833, 585, 938, 7218, 1247, 18245, 741, 13190, 543, 8497, 15683, 2429, 519, 12955, 1184, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 17484, 6361, 21509, 5516, 543, 9869, 823, 26959, 454, 26296, 4145, 666, 1118, 1439, 6361, 3734, 3664, 1256, 811, 4101, 269, 4855, 856, 875, 24310, 543, 27083, 666, 8897, 519, 2724, 2042, 596, 1522, 581, 6849, 563, 17484, 6361, 3734, 3664, 616, 2141, 2352, 267, 2943, 789, 2461, 2556, 5079, 1034, 4892, 786, 3068, 585, 2933, 610, 513, 6068, 835, 563, 25567, 753, 6170, 1269, 275, 269, 274, 18265, 593, 1072, 1416, 538, 476, 1708, 272, 269, 898, 779, 6059, 602, 476, 1015, 260, 1107, 1269, 25396, 5479, 1107, 540, 602, 729, 6170, 593, 1439, 6361, 3734, 1416, 543, 4662, 823, 3790, 269, 27819, 3368, 540, 24310, 2550, 8359, 922, 4662, 823, 4324, 267, 930, 585, 835, 610, 1079, 2395, 267, 930, 585, 3670, 3275, 610, 3476, 563, 22137, 1265, 602, 4662, 823, 1416, 666, 3648, 2539, 519, 1942, 540, 1439, 6361, 3734, 2564, 9276, 267, 3226, 952, 513, 3461, 22939, 811, 982, 476, 1428, 2395, 538, 4662, 823, 563, 7197, 1439, 6361, 3734, 3664, 616, 1759, 711, 1152, 593, 513, 3461, 779, 2115, 267, 855, 849, 593, 2883, 12588, 269, 4197, 4662, 823, 3790, 543, 824, 1439, 6361, 3734, 3681, 666, 948, 8897, 2566, 267, 543, 1291, 547, 3664, 602, 4324, 519, 3461, 543, 1039, 547, 519, 4018, 328, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 17484, 6361, 21509, 5516, 693, 5851, 257, 607, 851, 540, 834, 25503, 1315, 16711, 1315, 5851, 1299, 7991, 5516, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 634, 10020, 540, 29550, 267, 12752, 267, 543, 6554, 538, 26472, 8562, 983, 19004, 543, 12655, 5071, 692, 1103, 713, 1576, 1770, 267, 649, 786, 5490, 883, 519, 1523, 540, 519, 10222, 921, 4477, 1460, 2203, 540, 6280, 11897, 2722, 3766, 17922, 3347, 543, 2263, 875, 621, 666, 3565, 547, 5009, 9764, 4346, 543, 4264, 1374, 2853, 269, 1284, 786, 4983, 519, 9687, 5107, 540, 891, 1614, 1883, 11051, 538, 5807, 5647, 267, 5698, 267, 543, 11528, 1689, 2509, 513, 811, 4264, 2104, 269, 3414, 606, 538, 3829, 2079, 540, 519, 3332, 267, 2013, 2090, 267, 543, 6932, 3466, 267, 596, 786, 2744, 513, 4396, 1620, 540, 519, 1950, 16799, 1851, 9945, 267, 6080, 267, 543, 6608, 538, 5935, 938, 1587, 1374, 5251, 780, 272, 269, 3245, 11633, 5980, 547, 11310, 5980, 281, 1323, 11137, 540, 519, 10222, 921, 4477, 1460, 7844, 692, 2026, 7239, 27636, 2429, 1686, 267, 789, 7960, 998, 1114, 5933, 6353, 676, 3982, 14227, 3889, 543, 8789, 5238, 269, 4438, 519, 11633, 7169, 267, 972, 729, 513, 2178, 8561, 593, 22713, 267, 1141, 4213, 543, 6608, 5129, 1713, 5107, 538, 6117, 2804, 2208, 269, 1717, 267, 519, 21554, 540, 519, 11310, 5980, 814, 14754, 513, 17565, 6521, 267, 13296, 9945, 723, 7153, 607, 2565, 5716, 7258, 741, 2757, 13413, 1765, 321, 5350, 525, 543, 6608, 780, 1607, 7004, 3366, 547, 519, 4367, 540, 519, 10222, 921, 4477, 1460, 2203, 676, 8361, 661, 16379, 330, 578, 6308, 538, 519, 2038, 476, 1960, 271, 338, 269, 4340, 547, 713, 5943, 267, 3811, 5698, 1851, 9945, 267, 2872, 267, 543, 2229, 5012, 547, 2799, 3255, 585, 5647, 267, 20835, 267, 543, 6237, 1646, 269, 769, 2490, 267, 971, 12352, 7520, 519, 5137, 540, 3209, 2472, 267, 2533, 267, 543, 3157, 602, 616, 13988, 609, 6940, 3741, 543, 9764, 4346, 3853, 780, 272, 269, 28628, 1944, 15689, 540, 2160, 268, 26581, 787, 8566, 17922, 17716, 692, 288, 4295, 4557, 564, 540, 519, 10222, 921, 4477, 1460, 2203, 3322, 16471, 1585, 3334, 6508, 689, 4081, 1382, 267, 4357, 5823, 7341, 267, 543, 1857, 3609, 3646, 269, 1635, 9256, 3309, 5380, 267, 1983, 267, 2200, 267, 543, 6791, 267, 2189, 12250, 12417, 8451, 267, 3056, 547, 8476, 1966, 9010, 7207, 543, 13710, 3435, 269, 1452, 29528, 16637, 6671, 6302, 543, 1711, 6422, 5867, 585, 1071, 268, 21551, 267, 17634, 267, 543, 1565, 2066, 9922, 780, 2690, 3236, 267, 9945, 949, 4497, 538, 4294, 1382, 3785, 602, 8597, 4481, 547, 2872, 2115, 1247, 4509, 741, 7029, 547, 4909, 8906, 269, 11531, 267, 3549, 1223, 9772, 1930, 5647, 2994, 602, 4125, 23712, 609, 24243, 543, 824, 5007, 4891, 547, 1569, 5969, 12967, 4066, 543, 4195, 2093, 269, 22749, 1522, 849, 9784, 3818, 3613, 820, 14516, 4485, 950, 3384, 4507, 543, 6042, 6322, 693, 5885, 4264, 1646, 6859, 543, 27513, 2590, 2344, 19718, 540, 10357, 7888, 6272, 780, 272, 269, 16743, 18868, 543, 11300, 20121, 2315, 538, 12655, 5071, 692, 297, 24944, 5576, 2794, 2678, 781, 3069, 540, 3860, 9552, 29102, 602, 16851, 29263, 593, 6024, 17522, 543, 25430, 267, 799, 6038, 8309, 547, 1279, 3856, 13884, 269, 1879, 7311, 713, 10206, 1369, 519, 2796, 540, 4264, 1374, 543, 9764, 4346, 267, 649, 7747, 2147, 3270, 540, 26688, 10124, 543, 1870, 3631, 602, 4161, 4540, 8155, 543, 14908, 780, 14300, 32736, 538, 6080, 8151, 689, 6752, 547, 11418, 267, 1141, 30596, 543, 3964, 10909, 7567, 6338, 5499, 1587, 6272, 543, 3028, 17008, 602, 3895, 4199, 4398, 267, 15325, 267, 1065, 2967, 4599, 1006, 267, 6691, 1464, 267, 543, 4687, 269, 6270, 7835, 1419, 10836, 998, 3444, 5498, 28118, 24816, 5473, 9945, 267, 4213, 267, 543, 6608, 2324, 1927, 547, 7903, 519, 4395, 4536, 540, 1018, 13054, 4264, 1374, 2259, 780, 272, 269, 7464, 21509, 10241, 540, 519, 10222, 921, 4477, 1460, 13979, 538, 8562, 983, 19004, 543, 12655, 5071, 692, 6624, 4525, 1472, 519, 1158, 723, 2907, 13175, 7598, 10222, 921, 4477, 1460, 2994, 547, 4434, 9764, 4346, 989, 31789, 543, 6536, 4264, 1374, 2069, 267, 1382, 267, 543, 5647, 269, 1280, 1383, 1384, 265, 769, 2342, 267, 519, 3864, 4659, 540, 16743, 543, 5303, 630, 292, 3951, 264, 6770, 1927, 2362, 2069, 5238, 267, 1382, 3906, 267, 543, 16904, 547, 10994, 10296, 6848, 2591, 267, 1519, 2916, 1689, 543, 4199, 20317, 269, 2290, 8037, 11036, 568, 661, 3951, 8693, 11860, 2975, 267, 799, 6212, 12799, 593, 23960, 519, 5912, 2509, 513, 4642, 28003, 267, 9764, 4346, 563, 265, 769, 5607, 267, 14135, 781, 2817, 3194, 7690, 7028, 681, 22936, 2238, 10704, 593, 4264, 4683, 1949, 998, 922, 28941, 585, 3194, 28742, 1656, 25895, 27617, 630, 290, 3918, 12442, 1040, 10738, 595, 3918, 12442, 267, 3486, 4891, 12840, 5702, 547, 2232, 2152, 17640, 547, 3039, 5656, 267, 5100, 21870, 267, 2973, 1648, 267, 1216, 2359, 267, 543, 3653, 5786, 563, 265, 769, 3345, 3013, 267, 519, 12590, 4659, 540, 5303, 630, 300, 3951, 264, 5713, 607, 513, 6305, 12013, 541, 540, 9945, 8508, 741, 5539, 607, 8069, 540, 1689, 269, 20037, 14747, 3875, 7740, 267, 22475, 267, 543, 3292, 6131, 547, 14027, 6940, 267, 1082, 540, 799, 8362, 4497, 609, 2872, 3401, 543, 14519, 547, 14377, 3621, 23484, 883, 4052, 3156, 780, 9961, 713, 1576, 1770, 267, 649, 723, 8268, 519, 11358, 1909, 540, 9945, 267, 2872, 267, 543, 2229, 538, 5009, 9764, 4346, 543, 4264, 1374, 269, 1306, 2518, 2591, 1831, 5051, 1950, 543, 10562, 267, 19713, 519, 7104, 4987, 543, 2200, 540, 2789, 8639, 3587, 1898, 585, 8236, 2318, 4093, 269, 4475, 267, 14237, 7347, 10222, 921, 4477, 1460, 5121, 543, 14637, 3444, 5498, 28118, 19929, 1058, 2611 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6635, 18003, 568, 606, 1930, 2707, 2780, 8800, 543, 3301, 2754, 267, 1788, 267, 543, 3593, 2146, 602, 6272, 543, 3302, 999, 2582, 1532, 13635, 29668, 619, 543, 29668, 518, 20164, 585, 2679, 3059, 3457, 543, 7317, 3615, 602, 666, 2631, 543, 1852, 3615, 538, 519, 2168, 1158, 269, 634, 1788, 781, 2472, 616, 7856, 607, 1930, 21299, 8800, 543, 3301, 267, 799, 616, 13931, 896, 519, 717, 26214, 10815, 518, 4937, 5398, 17821, 630, 299, 294, 12195, 264, 610, 519, 717, 26214, 4937, 5398, 17821, 630, 294, 12195, 1070, 28498, 519, 5478, 540, 20798, 12545, 543, 3301, 3892, 676, 4896, 269, 20798, 12545, 616, 2139, 20749, 538, 840, 553, 5145, 1194, 1106, 267, 610, 607, 798, 32717, 3917, 712, 1345, 630, 14888, 312, 264, 20164, 563, 6944, 1503, 513, 4039, 599, 609, 20798, 20861, 258, 476, 276, 269, 623, 269, 631, 4115, 269, 818, 18003, 5850, 282, 769, 713, 2656, 20798, 5850, 594, 786, 2491, 875, 596, 666, 1852, 513, 20794, 1210, 519, 20798, 563, 1015, 269, 31584, 23081, 515, 598, 8299, 337, 1783, 18480, 269, 20798, 586, 320, 6446, 1609, 324, 721, 320, 19448, 5706, 16780, 807, 6446, 562, 657, 7989, 924, 598, 20973, 7843, 1602, 714, 11456, 269, 20704, 14764, 3890, 8930, 300, 1712, 9638, 514, 273, 563, 763, 20798, 781, 5752, 1893, 2306, 623, 310, 300, 2653, 547, 946, 282, 3274, 1289, 12746, 2237, 9638, 514, 267, 10279, 290, 19564, 1070, 1141, 10279, 290, 19564, 568, 513, 1871, 689, 476, 271, 547, 476, 14838, 563, 307, 18556, 714, 11456, 1483, 714, 5964, 598, 20798, 6167, 302, 20562, 718, 320, 700, 7374, 476, 1626, 343, 273, 23621, 11391, 334, 2123, 14184, 670, 295, 281, 27493, 281, 9399, 1290, 334, 554, 27468, 5979, 563, 21659, 582, 14022, 20798, 476, 277, 288, 343, 529, 4419, 334, 6513, 6022, 2280, 1944, 20798, 631, 9298, 16348, 271, 29790, 269, 7843, 1602, 714, 11456, 476, 30019, 1295, 583, 657, 269, 674, 6359, 756, 582, 267, 606, 32534, 9891, 2419, 1173, 532, 31584, 563, 307, 2858, 324, 18372, 598, 11465, 562, 826, 17383, 605, 344, 624, 334, 803, 4907, 328, 3288, 1966, 339, 3821, 632, 10540, 518, 1852, 541, 1714, 1609, 5964, 632, 3288, 536, 831, 320, 9067, 334, 632, 476, 273, 13767, 323, 553, 6446, 3351, 21289, 563, 5475, 1565, 875, 547, 8755, 513, 2582, 10896, 593, 707, 20798, 267, 596, 616, 4440, 3168, 585, 513, 1259, 547, 1118, 3579, 3270, 267, 855, 1745, 3908, 676, 519, 946, 540, 8488, 14061, 1403, 596, 2307, 563, 3519, 1609, 657, 10256, 1714, 20798, 812, 3385, 17485, 24421, 657, 620, 9920, 829, 334, 598, 1714, 700, 27840, 291, 522, 1714, 700, 29218, 301, 1714, 5102, 810, 3138, 1252, 334, 679, 3288, 31584, 476, 273, 1666, 5964, 679, 1714, 6539, 632, 669, 12118, 632, 9279, 515, 476, 275, 563, 1015, 11550, 312, 17614, 5308, 24315, 288, 570, 308, 8121, 291, 308, 2562, 302, 6845, 322, 650, 657, 586, 1011, 545, 15606, 16948, 900, 19649, 541, 267, 605, 344, 624, 657, 818, 18003, 21246, 5050, 525, 267, 6845, 322, 650, 657, 586, 1100, 21915, 334, 267, 16515, 4412, 1470, 16009, 4302, 8773, 563, 8505, 528, 570, 335, 4815, 281, 1496, 307, 18556, 714, 11456, 20798, 681, 12839, 26712, 9873, 278, 630, 299, 5866, 476, 276, 1691, 275, 1654, 8240, 264, 476, 271, 6490, 321, 4592, 552, 476, 272, 16731, 14397, 1609, 334, 513, 2357, 1609, 324, 512, 335, 4815, 269, 1656, 337, 291, 269, 22387, 31584, 563, 12507, 334, 8773, 598, 20798, 292, 6470, 31918, 269, 3933, 334, 8773, 598, 20798, 11968, 18699, 3930, 1642, 476, 272, 9389, 714, 11456, 17485, 13005, 818, 18003, 267, 8930, 476, 279, 679, 670, 26996, 630, 334, 524, 783, 638, 1512, 17333, 549, 8930, 1916, 307, 18556, 714, 11456, 32190, 632, 1102, 32057, 549, 329, 657, 632, 20798, 670, 27468, 796, 5547, 334, 632, 521, 4532, 1258, 714, 659, 514, 632, 620, 3279, 3348, 529, 514, 3351, 714, 18372, 13121, 6845, 810, 637, 632, 1102, 32057, 549, 329, 657, 632, 536, 26953, 1942, 334, 586, 796, 563, 307, 18556, 714, 11456, 1483, 714, 5964, 598, 20798, 6167, 302, 20562, 718, 320, 700, 7374, 476, 1626, 343, 273, 23621, 11391, 334, 2123, 14184, 670, 295, 281, 27493, 281, 9399, 1290, 334, 554, 27468, 5979, 281, 1215, 547, 798, 621, 563, 306, 517, 541, 814, 2141, 1044, 513, 4241, 1641, 267, 519, 3039, 21686, 4604, 543, 31300, 1359, 15956, 8204, 10546, 14742, 543, 20140, 1149, 814, 2760, 11074, 4241, 519, 15908, 626, 563, 2791, 949, 723, 2938, 891, 1187, 267, 2770, 27918, 12269, 16304, 538, 2576, 32075, 338, 2777, 610, 5604, 607, 1769, 26892, 269, 1284, 32075, 516, 2469, 547, 3082, 519, 1374, 547, 581, 513, 28707, 269, 962, 1575, 267, 513, 9649, 267, 2770, 27918, 267, 6531, 8032, 28707, 269, 4746, 267, 621, 4465, 32075, 339, 581, 6531, 4448, 267, 855, 621, 786, 946, 513, 7735, 547, 1689, 3270, 267, 799, 585, 938, 5301, 2965, 1568, 1732, 563, 1607, 1788, 666, 581, 3730, 585, 596, 952, 596, 723, 513, 3896, 602, 596, 666, 946, 547, 1832, 519, 1239, 269, 634, 1455, 1259, 568, 547, 1305, 519, 661, 9915, 279, 2918, 277, 547, 7746, 7154, 543, 1921, 547, 621, 689, 519, 4950, 676, 10024, 707, 18760, 7379, 2232, 538, 513, 11422, 269, 3733, 4950, 8502, 1810, 32075, 339, 1577, 803, 798, 602, 676, 4657, 1250, 7379, 2232, 1142, 942, 594, 4283, 519, 7379, 2232, 563, 6635, 18003, 12545, 616, 1390, 585, 17634, 269, 1411, 1175, 11690, 519, 12904, 538, 267, 543, 519, 4296, 3251, 972, 609, 5614, 3196, 269, 2201, 519, 824, 1688, 267, 789, 849, 7485, 856, 3833, 3362, 267, 865, 594, 2919, 606, 20798, 1133, 334, 26456, 602, 950, 519, 19984, 568, 9395, 2989, 267, 621, 849, 9395, 839, 1524, 519, 12904, 2469, 883, 519, 4604, 267, 1327, 6362, 873, 1524, 543, 3246, 513, 1434, 2179, 540, 8833, 8323, 563, 5575, 540, 782, 267, 596, 991, 513, 5078, 14164, 24891, 609, 513, 7008, 540, 1863, 26838, 2182, 12210, 2230, 630, 331, 2320, 2456, 666, 581, 5230, 3006, 1040, 7427, 519, 15775, 29035, 3296, 540, 8073, 547, 1205, 707, 19835, 3118, 909, 543, 4881, 630, 577, 5366, 29974, 31583, 3892, 267, 585, 1383, 1916, 21010, 532, 547, 519, 4950, 814, 711, 1044, 4443, 267, 2060, 519, 4417, 540, 519, 1007, 594, 5588, 630, 5769, 540, 1919, 264, 9074, 661, 9915, 279, 2918, 277, 922, 513, 30089, 547, 1921, 707, 29668, 518, 543, 20798, 3785, 547, 519, 4950, 563, 2005, 7140, 856, 602, 621, 568, 3833, 2653, 547, 1205, 5981, 320, 5968, 609, 20798, 3842, 30722, 13100, 609, 19219, 7304, 3633, 269, 2353, 596, 723, 547, 798, 568, 16459, 1079, 19219, 7304, 3633, 13838, 543, 14764, 909, 513, 19219, 7304, 3633, 10046, 609, 5981, 320, 10871, 543, 20798, 9136, 269, 3371, 594, 723, 513, 1788, 799, 814, 5981, 320, 2490, 593, 543, 1055, 1079, 10896, 8279, 607, 513, 1629, 334, 563, 20779, 2970, 919, 875, 547, 1305, 606, 681, 12839, 15372, 585, 519, 20798, 20023, 543, 631, 298, 305, 1911, 271, 901, 1383, 3009, 568, 538, 519, 1857, 6389, 563, 289, 14979, 330, 568, 513, 25957, 609, 25515, 543, 15692, 8924, 547, 1852, 20798, 267, 30722, 13100, 543, 519, 15055, 936, 519, 5769, 269, 898, 781, 513, 3059, 21686, 4580, 1141, 596, 666, 1628, 513, 8642, 563, 6635, 18003, 1744, 3658, 20798, 623, 2931, 20444, 932, 12118, 3474, 320, 31584, 476, 14096, 7825, 10897, 592, 623, 5357, 305, 13612, 6860, 288, 1773, 20403, 16948, 20444, 570, 4932, 303, 3036, 22003, 4696, 3036, 595, 2975, 299, 2975, 302, 28217, 290, 269, 476, 276, 295, 9460, 23813, 298, 9460, 296, 12208, 7464, 21289, 563, 303, 528, 3473, 10044, 986, 345, 333, 3288, 1303, 2784, 320, 20444, 642, 16695, 632, 2848, 5816, 1965, 1852, 632, 13121, 4419, 657, 3242, 1304, 324, 618, 324, 598, 20798, 269, 2073, 31584, 267, 4419, 334, 476, 272, 1290, 550, 9222, 9389, 714, 11456, 563, 3682, 344, 624, 657, 20798, 586, 562, 3437, 3547, 632, 20798, 19782, 1512, 334, 3775, 339, 4815, 586, 721, 340, 9222, 3110, 3770, 632, 26189, 1963, 7605, 334, 13510, 20345, 688, 1212, 5964, 796, 562, 826, 17383, 8773, 598, 1714, 6446, 795, 13610, 796, 553, 563, 307, 18556, 714, 11456, 1483, 714, 5964, 598, 20798, 6167, 302, 20562, 718, 320, 700, 7374, 476, 1626, 343, 273, 23621, 11391, 334, 2123, 14184, 670, 295, 281, 27493, 281, 9399, 1290, 334, 554, 27468, 5979, 281, 6754, 519, 8773, 5373, 18536, 476, 277, 1296, 3516, 454, 15187, 306, 16428, 568, 606, 20798, 14173, 799, 2636, 596, 547, 6895, 707, 4055, 689, 9170, 538, 519, 1158, 3842, 5769, 563, 5472, 596, 1131, 991, 568, 513, 11422, 543, 713, 6539, 814, 782, 519, 8800, 2838, 547, 6895, 707, 4055, 543, 2638, 952, 922, 3636, 267, 711, 1932, 18519, 543, 952, 2576, 814, 7745, 883, 707, 1753, 563, 296, 4941, 513, 5100, 31296, 602, 4951, 803, 711, 5874, 689, 606, 21236, 267, 729, 1507, 2614, 547, 5957, 267, 543, 1185, 513, 22507, 762, 6007, 602, 16768, 585, 693, 2547, 513, 1554, 269, 594, 2813, 1250, 1378, 11197, 4585, 1759, 593, 606, 20798, 269, 898, 568, 513, 5100, 31296, 1759, 593, 606, 20798, 9910, 605, 267, 799, 568, 4448, 547, 519, 21236, 936, 29402, 269, 0, 763, 4469, 5792, 15858, 6087, 1053, 547, 13713, 1451, 827, 513, 1641, 1991, 547, 11504, 1362, 6185, 1030, 6873, 4469, 5792, 4804, 568, 513, 1505, 540, 3450, 538, 799, 2757, 4928, 15872, 616, 8719, 676, 3381, 18862, 269, 9502, 540, 1166, 5792, 4928, 910, 2296, 9218, 269, 513, 3450, 1505, 538, 799, 1053, 1101, 1451, 827, 513, 1007, 1641, 693, 1753, 267, 2523, 2228, 267, 543, 1287, 723, 5717, 593, 621, 538, 1362, 31677, 10206, 540, 513, 4469, 5792, 15858, 13979, 281, 634, 4469, 5792, 7844, 814, 1044, 7550, 2066, 513, 2647, 2039, 540, 3872, 8658, 267, 543, 2296, 5678, 763, 2757, 10206, 540, 4928, 2861, 1565, 568, 5828, 593, 922, 2212, 281, 2290, 4122, 6709, 6838, 4214, 568, 602, 6780, 3587, 1166, 5792, 4928, 630, 680, 1116, 1166, 5792, 13460, 1040, 589, 4928, 602, 3096, 519, 1166, 5792, 1565, 1062, 540, 2069, 269, 27511, 281, 1166, 6235, 4928, 267, 1603, 5578, 267, 2296, 607, 513, 4914, 1893, 267, 1053, 8456, 16638, 713, 4214, 267, 2609, 540, 519, 10558, 6261, 15462, 6261, 28558, 630, 13048, 303, 264, 543, 17130, 15369, 5678, 9752, 630, 307, 13993, 307, 264, 4485, 616, 1336, 547, 3514, 538, 513, 19154, 14292, 1982, 630, 4537, 12609, 267, 476, 1001, 271, 1040, 12428, 4436, 2296, 5053, 3943, 12355, 7969, 5545, 10656, 14470, 14082, 4936, 1014, 6739, 2529, 2514, 1166, 5792, 4928, 538, 281, 5680, 269, 16103, 269, 9502, 269, 9218, 269, 1548, 568, 513, 1166, 5792, 4928, 286, 4495, 513, 1007, 2856, 3587, 513, 18388, 5320, 267, 8930, 940, 1524, 519, 4214, 666, 1831, 513, 512, 611, 811, 4101, 269, 634, 1166, 5792, 1565, 3060, 814, 2919, 1018, 789, 4126, 786, 581, 2938, 607, 519, 17046, 4214, 31802, 543, 5042, 4452, 538, 519, 1166, 5792, 4928, 281, 9502, 267, 24117, 543, 513, 1289, 585, 1382, 12171, 331, 6235, 519, 4928, 585, 2296, 1893, 6267, 547, 6536, 3742, 1565, 563, 20663, 2667, 13554, 5678, 4804, 267, 476, 2764, 263, 272, 1070, 476, 279, 866, 277, 269, 8222, 281, 476, 1015, 269, 10482, 271, 270, 271, 4817, 6434, 273, 2641, 269, 1001, 275, 269, 280, 6858, 3583, 272, 269, 589, 8772, 17263, 4116, 786, 2936, 513, 1166, 5792, 4928, 8335, 982, 513, 1164, 1153, 2296, 4116, 2529, 1550, 1142, 4116, 786, 2626, 602, 2243, 538, 513, 1114, 1259, 267, 972, 568, 1100, 971, 3364, 607, 835, 4214, 540, 519, 1166, 5792, 4928, 269, 645, 9347, 814, 3989, 519, 1166, 5792, 4928, 607, 2348, 2185, 1883, 2609, 630, 1001, 274, 2567, 476, 272, 269, 3629, 606, 4316, 585, 1053, 547, 2744, 1101, 4598, 547, 1576, 1570, 1991, 547, 1362, 267, 2436, 998, 11000, 7044, 610, 5496, 4751, 338, 269, 476, 273, 1215, 4469, 6235, 519, 15858, 2052, 13724, 519, 12465, 17976, 269, 476, 278, 18738, 519, 4469, 5792, 15858, 476, 1015, 4706, 513, 4469, 6235, 7169, 476, 1724, 19331, 731, 513, 5871, 9502, 540, 4469, 5792, 4804, 476, 1428, 4469, 5792, 4804, 28024, 696, 6291, 1411, 516, 13156, 13334, 538, 2296, 563, 2791, 666, 1689, 713, 13283, 2630, 11053, 8084, 281, 3778, 543, 4214, 540, 4469, 5792, 15858, 269, 1166, 5792, 4928, 910, 5131, 4214, 2164, 689, 936, 476, 10204, 271, 2228, 21594, 7868 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 21247, 269, 634, 5413, 540, 519, 21247, 568, 602, 621, 568, 12001, 547, 2620, 632, 324, 533, 11158, 630, 19749, 353, 18458, 333, 332, 264, 543, 814, 513, 1360, 1970, 8143, 7269, 11664, 269, 744, 269, 30323, 1372, 267, 631, 269, 1234, 573, 32304, 267, 590, 269, 5576, 3530, 1676, 267, 543, 808, 269, 645, 622, 2006, 267, 20348, 3557, 5303, 2019, 269, 476, 3066, 1100, 269, 476, 280, 630, 5353, 696, 476, 2735, 277, 264, 533, 269, 476, 8099, 454, 15031, 1181, 19087, 1210, 21957, 2645, 454, 1103, 513, 1462, 1462, 3821, 476, 673, 331, 21957, 21957, 30918, 1062, 900, 4806, 568, 2966, 609, 513, 1769, 4050, 593, 513, 30932, 18422, 8546, 269, 634, 3977, 540, 519, 21957, 1062, 568, 2356, 538, 519, 1106, 540, 513, 9352, 1239, 563, 763, 634, 13005, 1239, 616, 1101, 476, 1009, 12261, 883, 3684, 1893, 543, 1287, 10299, 547, 606, 9804, 267, 6475, 11237, 267, 610, 8955, 1062, 543, 6368, 1374, 5546, 593, 519, 9633, 269, 476, 279, 454, 288, 8955, 4806, 5108, 1062, 454, 18893, 923, 910, 17943, 543, 5262, 3555, 5262, 3555, 769, 1931, 547, 1174, 519, 7207, 540, 2413, 530, 29195, 4598, 1949, 649, 786, 991, 547, 2689, 930, 2596, 2035, 827, 1769, 543, 9804, 1062, 269, 3040, 3040, 454, 305, 599, 16439, 630, 817, 11167, 1769, 12599, 538, 2786, 3515, 264, 1568, 1134, 607, 1279, 607, 519, 7516, 616, 1804, 3379, 547, 18494, 1775, 269, 552, 269, 9325, 2470, 540, 519, 1769, 269, 2311, 4130, 7516, 267, 32250, 2360, 20441, 1775, 4318, 1421, 5951, 2470, 540, 519, 1769, 269, 17435, 5014, 593, 519, 9633, 616, 13380, 547, 519, 15423, 540, 519, 1769, 269, 1403, 519, 27934, 568, 593, 519, 1931, 540, 18494, 267, 519, 1769, 19082, 856, 1310, 8429, 998, 519, 27934, 269, 630, 763, 4130, 519, 27934, 267, 519, 811, 621, 19082, 856, 4700, 634, 1769, 602, 10596, 998, 519, 27934, 630, 332, 2532, 264, 11438, 609, 621, 519, 1344, 593, 519, 2450, 543, 3337, 540, 602, 27934, 630, 22563, 823, 4806, 1916, 763, 1769, 886, 26167, 547, 9962, 9962, 23109, 11438, 519, 1344, 827, 519, 32067, 3877, 540, 519, 589, 13630, 675, 630, 22563, 823, 4806, 1070, 799, 616, 4503, 1101, 950, 7828, 540, 13113, 2450, 1015, 568, 946, 454, 310, 29195, 22452, 7010, 2450, 540, 519, 3239, 630, 323, 3554, 2678, 1916, 23086, 8228, 568, 5827, 540, 1164, 6571, 855, 814, 30849, 8919, 24186, 269, 769, 19763, 267, 32250, 2360, 616, 7413, 269, 3040, 1160, 343, 14383, 8228, 3112, 3362, 1820, 2934, 2630, 513, 1906, 18725, 332, 630, 21955, 585, 1535, 11920, 1949, 1040, 18648, 6571, 1813, 547, 32250, 2360, 267, 2838, 476, 272, 2473, 9633, 269, 3040, 5741, 542, 8228, 2488, 1164, 6571, 543, 1970, 8919, 24186, 543, 1422, 2531, 7149, 2221, 269, 3040, 30003, 16879, 1949, 946, 5786, 25852, 630, 273, 311, 910, 476, 276, 311, 1070, 1900, 543, 10956, 610, 1900, 476, 1321, 543, 11571, 7344, 1949, 267, 1820, 3980, 376, 476, 2004, 530, 2378, 619, 10774, 712, 530, 2378, 619, 10774, 712, 543, 1942, 1942, 1269, 276, 910, 476, 1015, 300, 563, 19061, 542, 5741, 542, 7010, 7010, 630, 29163, 29163, 5262, 847, 328, 5262, 3555, 593, 3738, 3040, 1452, 616, 519, 8789, 1949, 538, 946, 3040, 3040, 3040, 3040, 3040, 3040, 3040, 454, 339, 3736, 269, 13437, 568, 2356, 4330, 538, 2474, 540, 3040, 6571, 3040, 3178, 540, 1445, 3040, 2361, 540, 2070, 3040, 25244, 4483, 1599, 3040, 12972, 6111, 3040, 998, 1584, 476, 1724, 454, 1692, 2673, 1927, 666, 789, 581, 543, 1869, 581, 17251, 538, 519, 3239, 1544, 888, 10521, 1507, 11105, 2934, 593, 513, 9633, 454, 2793, 568, 519, 2702, 540, 30776, 547, 5531, 1769, 269, 1769, 1547, 681, 21591, 272, 269, 2420, 16575, 535, 546, 454, 272, 269, 2420, 16575, 535, 562, 263, 273, 535, 5609, 14668, 12467, 271, 269, 8618, 16575, 562, 5609, 14668, 454, 284, 918, 476, 272, 16575, 19364, 454, 8489, 562, 814, 1044, 3769, 585, 1252, 1275, 1252, 1275, 543, 568, 519, 4994, 540, 1201, 3555, 540, 519, 1570, 1063, 519, 1843, 543, 519, 7828, 543, 681, 568, 519, 5934, 4183, 476, 1691, 2450, 269, 2450, 563, 21653, 540, 519, 3239, 630, 323, 3554, 2678, 1916, 291, 3704, 540, 519, 1445, 630, 23077, 293, 264, 3040, 454, 2026, 728, 31035, 689, 689, 519, 886, 545, 7411, 12804, 1399, 540, 1804, 1804, 14485, 267, 972, 568, 849, 513, 1713, 2721, 1394, 547, 1210, 2362, 10230, 27934, 630, 2793, 1070, 540, 513, 7828, 269, 1403, 24818, 568, 519, 593, 7852, 2619, 3259, 3017, 693, 519, 3970, 540, 519, 1445, 267, 1287, 519, 2619, 3259, 3017, 585, 513, 18422, 689, 519, 6316, 540, 519, 13675, 27934, 568, 3274, 24818, 6523, 15184, 269, 634, 681, 1446, 662, 7355, 585, 3178, 540, 519, 1445, 568, 3274, 602, 891, 1079, 13080, 711, 8428, 676, 811, 982, 18494, 270, 275, 1775, 269, 552, 1421, 18494, 454, 284, 24818, 6567, 24818, 5430, 15184, 16564, 476, 273, 24818, 15184, 476, 273, 815, 24818, 476, 272, 6567, 630, 272, 6567, 3738, 9881, 483, 2073, 8263, 476, 273, 476, 273, 9881, 483, 5609, 16564, 21591, 323, 476, 273, 535, 454, 23077, 293, 815, 24818, 815, 13008, 454, 284, 19364, 630, 529, 513, 2268, 540, 875, 1454, 540, 519, 886, 26167, 1769, 519, 7828, 24693, 543, 3239, 264, 18494, 454, 273, 263, 19364, 264, 476, 273, 454, 284, 13008, 918, 476, 273, 454, 263, 19364, 264, 476, 273, 454, 330, 273, 568, 2356, 4603, 958, 5462, 269, 476, 1704, 454, 1607, 3178, 540, 1445, 568, 593, 519, 1482, 1931, 607, 519, 5706, 4494, 11098, 3294, 563, 9556, 1637, 18734, 9577, 630, 21587, 293, 264, 3040, 454, 21587, 293, 568, 513, 2268, 540, 519, 9804, 4334, 538, 519, 19666, 3239, 676, 519, 4598, 1062, 269, 634, 2362, 519, 24211, 293, 519, 1732, 519, 9804, 4334, 269, 24211, 293, 540, 606, 3239, 666, 581, 3989, 607, 454, 1892, 589, 946, 14673, 3730, 331, 1219, 328, 2822, 527, 6491, 1470, 9357, 333, 540, 519, 22883, 807, 8901, 331, 25843, 540, 4052, 1769, 2959, 585, 12776, 2762, 568, 3274, 3040, 590, 284, 3040, 454, 296, 3193, 6567, 594, 1295, 594, 3193, 1341, 594, 1295, 454, 21587, 293, 1213, 320, 4679, 28140, 609, 609, 1232, 337, 3526, 320, 1574, 514, 2206, 326, 15423, 269, 1280, 1804, 1804, 9028, 4183, 579, 816, 2450, 2450, 24211, 293, 24211, 293, 568, 568, 9322, 9322, 907, 1306, 519, 535, 552, 2137, 2450, 11081, 32250, 2360, 2014, 519, 24211, 293, 31358, 547, 6368, 6603, 4642, 950, 519, 2934, 616, 865, 5702, 22274, 602, 972, 568, 1100, 6967, 4334, 538, 519, 3239, 563, 331, 662, 1769, 339, 11877, 2707, 2781, 5603, 5603, 564, 552, 614, 2144, 27772, 7828, 8006, 454, 1892, 4698, 328, 19750, 1608, 1769, 1769, 11877, 322, 2959, 1965, 616, 616, 711, 711, 1448, 2959, 269, 4475, 267, 519, 1769, 11495, 519, 9633, 786, 711, 581, 7077, 6329, 269, 3040, 11978, 3821, 15380, 561, 569, 23463, 590, 9625, 476, 271, 269, 276, 476, 271, 269, 276, 547, 547, 476, 271, 269, 278, 476, 271, 269, 278, 538, 2413, 2413, 1949, 563, 23086, 543, 1160, 343, 14383, 7010, 630, 674, 637, 6773, 454, 23087, 540, 530, 29195, 8228, 1949, 454, 6944, 320, 13555, 524, 339, 1820, 8228, 3824, 19523, 1062, 1661, 1087, 1766, 520, 7500, 552, 538, 519, 519, 2282, 2361, 610, 674, 637, 6773, 32250, 12512, 269, 12512, 269, 1703, 1703, 568, 620, 342, 2141, 513, 903, 930, 930, 7934, 7934, 914, 933, 1063, 679, 519, 519, 9633, 543, 5706, 269, 3040, 634, 634, 7098, 328, 19666, 620, 4337, 3239, 552, 666, 666, 581, 931, 1526, 745, 512, 1192, 324, 524, 1540, 546, 676, 31935, 1448, 2959, 1369, 519, 27934, 267, 1142, 10237, 908, 20085, 6329, 630, 295, 8500, 326, 839, 5951, 7410, 1040, 3040, 3955, 325, 3955, 325, 699, 552, 5270, 562, 576, 2498, 324, 2360, 524, 1206, 543, 543, 886, 337, 886, 847, 2962, 9357, 1267, 538, 968, 2590, 532, 892, 543, 10825, 3544, 519, 27934, 269, 3040, 674, 637, 674, 637, 928, 562, 749, 886, 886, 571, 476, 847, 524, 339, 1470, 9357, 333, 813, 2993, 10039, 1965, 950, 950, 454, 1892, 3040, 3040, 454, 1103, 519, 3346, 8228, 1062, 2073, 513, 1360, 1164, 6571, 3239, 568, 3812, 1775, 269, 552, 1421, 5934, 32250, 1198, 269, 1062, 267, 519, 6571, 31358, 1317, 540, 2282, 2361, 769, 513, 16133, 8228, 1062, 267, 674, 637, 6773, 32250, 2360, 269, 769, 519, 16879, 8228, 1062, 2073, 32250, 2360, 616, 31965, 676, 11093, 513, 7828, 1063, 9633, 543, 519, 530, 29195, 269, 1656, 1445, 519, 27934, 27934, 593, 519, 530, 29195, 269, 898, 568, 2312, 2312, 689, 519, 4137, 4137, 602, 519, 5543, 340, 6571, 512, 542, 540, 540, 519, 9938, 574, 16133, 621, 344, 1062, 1062, 568, 17071, 547, 1312, 540, 519, 824, 1949, 269, 901, 568, 1946, 16879, 1949, 616, 1031, 538, 5663, 2221, 563, 4415, 328, 2060, 4883, 713, 713, 2039, 267, 2039, 267, 519, 6922, 340, 5934, 544, 5543, 15344, 4183, 2450, 568, 454, 7078, 281, 952, 575, 815, 476, 736, 18725, 332, 543, 606, 575, 11060, 1769, 630, 275, 3607, 333, 332, 264, 2707, 568, 1031, 267, 654, 2381, 9881, 486, 18414, 330, 16575, 326, 654, 1295, 476, 274, 18725, 332, 269, 11978, 3821, 30003, 331, 1871, 1871, 540, 737, 568, 5008, 2673, 552, 547, 476, 272, 543, 543, 901, 568, 1454, 3677, 1287, 519, 10155, 1031, 538, 2413, 966, 299, 10485, 13365, 1547, 1717, 267, 585, 3498, 538, 2620, 839, 593, 19919, 1184, 269, 799, 2934, 2450, 616, 15095, 609, 873, 267, 16133, 23252, 616, 606, 22237, 3070, 269, 476, 2641, 454, 28097, 6286, 540, 1739, 9819, 585, 519, 1099, 6048, 602, 602, 1590, 5478, 27820, 609, 476, 271, 269, 276, 18725, 332, 2934, 269, 0, 268, 4208, 798, 649, 18634, 543, 1449, 888, 268, 1215, 798, 596, 1376, 513, 18634, 888, 268, 1548, 2501, 1310, 519, 18634, 888, 268, 1215, 30384, 616, 3812, 888, 268, 1548, 568, 519, 1292, 4162, 540, 513, 18634, 888, 268, 1215, 568, 513, 18634, 1114, 689, 519, 8737, 1587, 888, 268, 1548, 568, 519, 3017, 1063, 1216, 6420, 2203, 543, 18634, 2203, 888, 268, 4208, 798, 649, 991, 513, 18634, 888, 268, 1548, 568, 606, 1383, 540, 513, 18634, 888, 268, 1879, 1131, 596, 946, 513, 12235, 12537, 18634, 888, 268, 1548, 568, 519, 2495, 540, 18634, 888, 268, 1548, 616, 519, 1614, 2010, 540, 30384, 888, 268, 1548, 568, 513, 1434, 18634, 888, 268, 1548, 568, 513, 2203, 543, 18634, 888, 268, 1548, 568, 3301, 1486, 19685, 2203, 543, 922, 2956, 888, 268, 1548, 568, 1776, 2262, 585, 18634, 888, 268, 1548, 616, 519, 2010, 540, 18634, 888, 268, 1548, 568, 18634, 2203, 543, 922, 5383, 543, 11393, 888, 3963, 798, 649, 18634, 543, 1449, 888, 763, 3483, 540, 4152, 513, 18634, 568, 547, 1118, 2386, 942, 543, 2724, 979, 883, 2870, 519, 681, 20846, 1587, 563, 4517, 950, 596, 1449, 513, 18634, 267, 1818, 1374, 2242, 568, 3728, 543, 2653, 563, 1103, 519, 1279, 2196, 267, 621, 786, 4688, 596, 942, 267, 2724, 267, 543, 14331, 2864, 982, 3257, 782, 540, 707, 772, 311, 4152, 950, 513, 1587, 568, 5176, 2347, 10756, 1692, 798, 596, 1376, 513, 18634, 888, 2080, 616, 2185, 3268, 547, 1205, 707, 1101, 18634, 3710, 865, 596, 666, 2490, 707, 2856, 883, 513, 31601, 267, 19311, 1587, 5861, 5273, 513, 10417, 28220, 269, 634, 1101, 1900, 4724, 7432, 707, 2856, 883, 4641, 568, 3478, 621, 1524, 593, 1957, 269, 2560, 3763, 513, 14044, 5019, 9189, 269, 2560, 12706, 513, 8447, 5019, 9189, 269, 2560, 700, 11229, 513, 13583, 25033, 563, 1432, 2501, 1310, 519, 18634, 888, 5475, 519, 4702, 18634, 814, 1044, 6707, 7318, 267, 513, 2504, 18634, 568, 2813, 269, 901, 568, 519, 2063, 21533, 1354, 6272, 616, 5950, 585, 2527, 1790, 3174, 1907, 532, 269, 2560, 634, 2504, 18634, 568, 1031, 585, 4359, 4152, 267, 9117, 547, 19472, 519, 3803, 1062, 1374, 563, 1692, 30384, 616, 3812, 888, 303, 3174, 18634, 607, 7363, 1114, 538, 1312, 3498, 543, 8247, 689, 606, 7177, 610, 21826, 5019, 9189, 269, 7177, 18634, 568, 513, 14475, 5057, 610, 10198, 602, 568, 1031, 547, 6218, 519, 1587, 2773, 610, 1599, 269, 2560, 1452, 1950, 2934, 666, 581, 3812, 1210, 513, 18981, 1984, 610, 4234, 515, 3684, 563, 1432, 568, 519, 1292, 4162, 540, 513, 18634, 888, 288, 18634, 568, 513, 25229, 21747, 2324, 3732, 267, 2203, 267, 23769 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4139, 5351, 849, 5129, 513, 2629, 1909, 267, 2523, 689, 3906, 899, 519, 2136, 8315, 28057, 543, 29407, 10029, 630, 7419, 305, 6938, 6393, 12244, 22830, 281, 19147, 1053, 883, 1507, 2516, 543, 3651, 1142, 1895, 513, 4305, 2147, 547, 1346, 2038, 6051, 3785, 5018, 4505, 630, 2193, 2130, 6299, 1076, 267, 28472, 9897, 267, 3092, 12175, 5620, 873, 16540, 2994, 543, 2200, 2877, 547, 2347, 519, 4247, 1210, 3908, 7727, 543, 6578, 10148, 269, 9181, 19320, 1063, 741, 3435, 543, 4890, 3140, 2409, 6964, 1282, 2022, 21351, 16646, 780, 4089, 476, 274, 281, 11572, 570, 5014, 27933, 25608, 454, 4407, 2168, 11808, 27636, 7444, 267, 2797, 13253, 1138, 332, 1229, 9944, 519, 2627, 269, 5565, 1292, 6105, 7153, 1107, 519, 21340, 2817, 8644, 3130, 13571, 630, 292, 4456, 264, 543, 519, 15061, 5259, 2229, 4229, 6462, 5097, 676, 6628, 269, 3962, 2427, 6322, 547, 11851, 1852, 936, 10255, 781, 2104, 4287, 3056, 547, 513, 3540, 2112, 689, 476, 3707, 277, 547, 476, 3707, 280, 1634, 607, 519, 5259, 6406, 2782, 780, 7078, 281, 6333, 1079, 12543, 2713, 1985, 7450, 547, 1142, 824, 538, 6917, 10255, 269, 5637, 15068, 519, 3520, 5558, 540, 24918, 855, 3180, 15852, 5784, 3823, 10255, 781, 2619, 4464, 269, 4256, 22195, 15583, 622, 267, 4929, 20711, 1206, 1369, 17052, 267, 3885, 267, 543, 3003, 14252, 269, 16828, 267, 11439, 7526, 21074, 2429, 519, 3148, 267, 1266, 5285, 532, 17608, 21127, 538, 5208, 543, 10462, 780, 6962, 912, 763, 3460, 2509, 2022, 21351, 16646, 538, 10255, 729, 9808, 9853, 609, 9465, 267, 32333, 267, 543, 29217, 269, 3414, 5698, 267, 4199, 6888, 267, 543, 22406, 16177, 267, 16380, 7930, 32206, 741, 695, 13593, 2486, 269, 1717, 267, 2620, 15523, 7283, 10423, 1279, 1310, 3984, 1988, 30403, 267, 22348, 721, 602, 7067, 1419, 3217, 2484, 3476, 982, 3274, 21338, 7745, 5656, 610, 13123, 269, 2913, 721, 1451, 3407, 4245, 689, 1686, 267, 5807, 9322, 543, 6568, 8164, 2009, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 28494, 21788, 4753, 281, 968, 293, 15127, 22210, 902, 538, 17721, 8187, 15227, 525, 2223, 538, 4168, 3163, 18554, 267, 5292, 269, 476, 2568, 267, 3143, 269, 476, 13301, 267, 5181, 476, 277, 267, 476, 3422, 279, 267, 533, 269, 476, 280, 563, 314, 1103, 519, 1739, 6404, 2689, 267, 7085, 541, 31234, 602, 590, 650, 527, 4141, 2982, 1390, 5578, 538, 589, 10326, 593, 9605, 267, 855, 602, 519, 3209, 14543, 607, 1390, 1148, 24358, 299, 3716, 1913, 22551, 539, 267, 2571, 1913, 22883, 269, 589, 27615, 660, 538, 513, 3190, 540, 16563, 267, 513, 9240, 534, 538, 513, 1158, 781, 513, 4221, 269, 589, 3529, 593, 3595, 267, 513, 2777, 593, 3595, 267, 513, 4182, 593, 3595, 267, 513, 1158, 711, 1256, 8384, 563, 288, 24788, 748, 20893, 540, 2621, 269, 589, 1350, 7867, 532, 5134, 540, 1913, 8929, 609, 2370, 1769, 11789, 540, 3134, 580, 1090, 543, 2220, 597, 1194, 676, 865, 582, 344, 1196, 323, 625, 540, 561, 755, 269, 634, 7376, 945, 16339, 2478, 1346, 945, 1810, 1405, 1174, 1864, 11652, 2306, 1100, 4674, 547, 1174, 873, 269, 634, 7376, 607, 4620, 1399, 31376, 543, 2101, 6408, 282, 519, 7376, 607, 522, 2378, 267, 18854, 267, 804, 1144, 267, 13680, 16629, 534, 13960, 269, 634, 7376, 607, 9568, 2141, 827, 547, 4755, 267, 513, 2186, 540, 12457, 1799, 29561, 282, 519, 7376, 607, 21042, 903, 6509, 543, 607, 10917, 652, 6681, 4487, 540, 513, 10917, 652, 6681, 267, 31523, 7622, 269, 634, 7376, 607, 7376, 269, 634, 7376, 607, 21142, 590, 650, 527, 4141, 269, 590, 650, 527, 4141, 607, 3025, 563, 1607, 568, 513, 562, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 8070, 8862, 541, 25608, 543, 15348, 257, 607, 851, 540, 834, 19615, 1315, 2342, 1315, 10255, 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, 5629, 2390, 513, 942, 267, 972, 729, 513, 2370, 1907, 3957, 15207, 519, 7305, 27517, 269, 15207, 5030, 538, 513, 2462, 13186, 4904, 609, 782, 12204, 540, 2645, 543, 6191, 269, 4634, 1498, 15207, 729, 1507, 267, 646, 1185, 2462, 9909, 540, 4543, 1004, 1628, 4190, 1919, 269, 1809, 15207, 729, 1114, 689, 519, 824, 2645, 1317, 646, 4769, 1405, 991, 4896, 547, 3180, 1864, 610, 2490, 1010, 6023, 282, 646, 1185, 1010, 1378, 5179, 543, 6007, 2439, 3080, 1554, 267, 1247, 15207, 729, 16889, 538, 1010, 12123, 6728, 267, 646, 23986, 731, 1079, 4600, 6158, 827, 1945, 1572, 4965, 543, 4160, 269, 15207, 7012, 1405, 2386, 1018, 1346, 1913, 5921, 267, 855, 789, 32131, 3978, 269, 1261, 4956, 547, 2307, 835, 540, 519, 7874, 3425, 7404, 267, 8861, 780, 257, 27880, 2437, 4280, 15207, 267, 834, 6343, 616, 4965, 543, 4160, 12482, 27880, 20493, 27145, 543, 14452, 267, 834, 11039, 267, 15207, 267, 3006, 1004, 1745, 2731, 8909, 610, 14126, 585, 1100, 1880, 2601, 269, 898, 781, 899, 4743, 13110, 1256, 1310, 2348, 7899, 540, 3207, 267, 610, 1373, 18901, 1510, 4376, 17559, 8345, 3010, 20755, 3240, 2219, 827, 713, 585, 513, 4090, 269, 834, 3383, 875, 798, 1004, 4368, 621, 286, 2052, 594, 948, 873, 8119, 646, 9289, 16965, 780, 257, 8133, 267, 596, 666, 10590, 1767, 8861, 269, 834, 9617, 676, 3257, 707, 2816, 1765, 3559, 4771, 1004, 1711, 1919, 32503, 3142, 7772, 543, 3483, 883, 741, 2729, 269, 8490, 2337, 16297, 8186, 689, 2942, 4555, 543, 2488, 513, 2631, 540, 22920, 269, 1656, 3314, 267, 1169, 1268, 12523, 543, 6927, 267, 1175, 899, 1142, 1907, 538, 713, 13186, 3010, 30342, 9415, 267, 15207, 4682, 1394, 547, 960, 519, 1985, 1554, 609, 17105, 25525, 269, 1306, 646, 5280, 7585, 1628, 513, 11308, 11442, 14500, 585, 1010, 8250, 267, 646, 8068, 602, 7585, 8604, 18668, 543, 811, 17159, 269, 9320, 5969, 3574, 543, 2679, 519, 4773, 1927, 1500, 7585, 7340, 827, 1010, 19048, 585, 513, 1247, 780, 3719, 1287, 267, 10393, 267, 15207, 3323, 1818, 9490, 4992, 267, 543, 1010, 16405, 9327, 1405, 8095, 607, 3728, 607, 1354, 269, 7937, 1100, 256, 12984, 15207, 7745, 286, 14348, 646, 711, 581, 2111, 547, 948, 15042, 2496, 8450, 532, 15207, 781, 11605, 267, 8861, 3357, 936, 547, 2638, 593, 1864, 269, 2701, 6045, 602, 3025, 2115, 513, 2736, 3006, 267, 1519, 2645, 269, 3807, 607, 1352, 2877, 547, 22507, 1200, 6049, 267, 15207, 2877, 547, 3579, 1524, 865, 1010, 5179, 9327, 1405, 6633, 856, 269, 2991, 513, 2110, 1964, 267, 15207, 5433, 1732, 982, 2479, 2439, 5804, 602, 1554, 4464, 267, 15207, 4797, 547, 4217, 1004, 538, 2870, 8748, 3785, 267, 6616, 602, 646, 5129, 513, 1909, 538, 6505, 2287, 2576, 781, 1554, 269, 769, 1010, 1378, 1259, 267, 15207, 6026, 1866, 602, 2921, 1416, 540, 13951, 568, 1898, 267, 2436, 596, 2811, 513, 3349, 4718, 610, 513, 1480, 269, 8625, 267, 649, 666, 7753, 2591, 543, 1265, 8788, 998, 5876, 543, 4276, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 32091, 5272, 7853, 267, 4653, 594, 1131, 899, 547, 6338, 1215, 547, 1118, 589, 16353, 7305, 27517, 4635, 8682, 5336, 19318, 543, 23996, 5295, 269, 901, 7305, 27517, 814, 476, 273, 12331, 4718, 281, 6693, 20181, 24266, 8955, 3797, 2306, 946, 540, 11909, 9543, 27510, 1036, 9512, 540, 4552, 538, 930, 29235, 5722, 1004, 269, 674, 5914, 8955, 3797, 568, 5340, 538, 7936, 27243, 18916, 29473, 2424, 609, 31004, 30046, 950, 3308, 1035, 8462, 568, 22485, 547, 8938, 270, 3228, 344, 610, 1447, 3330, 1614, 3275, 540, 29473, 2424, 269, 9615, 623, 9417, 622, 22007, 30231, 624, 1162, 540, 1492, 17534, 267, 11469, 267, 11263, 267, 543, 22405, 543, 2960, 3622, 3100, 538, 2663, 6689, 543, 18273, 4887, 6001, 656, 585, 20015, 343, 1143, 10958, 5418, 2145, 476, 2004, 16936, 593, 1899, 563, 763, 3968, 666, 581, 3665, 538, 6375, 665, 20234, 668, 2213, 7606, 543, 20169, 12256, 267, 543, 6765, 12889, 666, 4755, 952, 513, 9176, 8004, 3587, 7783, 269, 634, 11186, 12180, 16415, 693, 519, 13020, 344, 540, 3043, 1591, 7048, 949, 1459, 513, 3833, 8984, 538, 1022, 824, 2013, 6093, 11491, 592, 25959, 748, 15087, 269, 7981, 1242, 2281, 538, 519, 14401, 1964, 538, 519, 5104, 868, 698, 331, 9593, 983, 12227, 1940, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 4317, 11762, 1315, 12870, 1299, 10076, 29520, 1315, 17520, 15136, 267, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 513, 476, 276, 4458, 6040, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 518, 710, 540, 519, 15179, 1920, 670, 597, 1495, 514, 13160, 269, 4706, 1079, 28849, 9742, 538, 519, 22615, 28569, 689, 32720, 3127, 998, 18310, 547, 27060, 267, 7187, 10476, 267, 543, 1175, 883, 3624, 269, 898, 4386, 538, 5757, 23898, 543, 27726, 3574, 539, 7823, 31393, 693, 15627, 1063, 476, 272, 267, 1822, 1700, 275, 267, 1822, 544, 630, 274, 267, 4968, 1700, 1724, 267, 1911, 10264, 264, 15820, 267, 1141, 621, 20097, 538, 10125, 9944, 936, 28702, 338, 593, 7299, 30917, 267, 18413, 1614, 610, 2185, 3043, 5798, 538, 606, 20583, 16095, 9566, 563, 1607, 31994, 814, 4544, 15918, 871, 5580, 30672, 609, 513, 17804, 3043, 678, 2794, 267, 543, 3043, 896, 30672, 269, 898, 20998, 922, 2673, 14077, 267, 519, 7489, 2777, 31994, 543, 1455, 2777, 31994, 267, 855, 7429, 1346, 2249, 621, 814, 513, 3109, 11563, 543, 3109, 9333, 841, 269, 898, 20555, 538, 1166, 4169, 609, 824, 2220, 718, 3298, 267, 20414, 13733, 543, 824, 7786, 538, 8184, 269, 898, 568, 1641, 547, 32456, 543, 15495, 267, 855, 922, 4567, 1369, 922, 3908, 2039, 5526, 5150, 269, 8110, 12320, 1014, 31994, 454, 763, 3131, 12320, 1014, 31994, 630, 3682, 326, 928, 9597, 19148, 328, 264, 568, 513, 2249, 540, 6177, 538, 519, 1920, 670, 597, 1495, 514, 13160, 269, 898, 568, 1336, 538, 18475, 543, 2484, 14926, 615, 16266, 563, 21132, 2067, 9249, 616, 31210, 610, 9341, 5848, 1970, 1633, 4104, 267, 31210, 610, 9341, 5848, 1395, 339, 2033, 4104, 267, 31210, 610, 9341, 3819, 1970, 1633, 31922, 267, 31210, 610, 9341, 1164, 268, 5306, 3363, 31922, 267, 27892, 1633, 267, 543, 4683, 2127, 269, 898, 568, 12219, 676, 7226, 2530, 269, 7093, 1380, 781, 29384, 15179, 454, 7093, 1380, 781, 29384, 15179, 630, 30821, 10635, 3559, 573, 517, 840, 1380, 328, 1070, 849, 1634, 607, 2776, 1380, 781, 15179, 267, 568, 513, 2249, 540, 6177, 538, 519, 1920, 670, 597, 1495, 514, 13160, 269, 3682, 326, 928, 454, 3682, 326, 928, 568, 513, 12593, 540, 5017, 269, 634, 12593, 2012, 4016, 547, 28540, 928, 630, 394, 510, 16708, 32703, 24681, 14832, 24341, 1070, 513, 29631, 8004, 945, 729, 5828, 883, 513, 15179, 547, 4688, 1200, 689, 1200, 9393, 269, 2701, 1185, 7166, 741, 5067, 547, 1285, 3188, 519, 22149, 540, 1200, 11078, 2529, 663, 31994, 454, 763, 5070, 31994, 630, 305, 760, 7559, 18009, 7559, 264, 610, 3864, 5070, 31994, 267, 4871, 15179, 538, 519, 17113, 267, 543, 2458, 1563, 5070, 31994, 538, 519, 4095, 4427, 29657, 267, 568, 513, 27436, 1780, 518, 710, 6177, 538, 519, 15179, 1920, 269, 898, 814, 513, 2647, 2039, 538, 4832, 267, 8508, 18374, 519, 2898, 540, 2342, 543, 519, 11335, 2477, 267, 851, 540, 7187, 5607, 543, 849, 3345, 3013, 269, 898, 24475, 538, 9456, 543, 7013, 4000, 267, 3162, 3013, 543, 519, 4095, 4427, 29657, 2529, 1177, 26310, 454, 763, 4718, 2914, 902, 267, 25360, 573, 641, 10635, 928, 267, 568, 513, 1507, 12593, 540, 1780, 518, 710, 5017, 538, 519, 15179, 1920, 269, 634, 1455, 2012, 540, 713, 1895, 568, 6508, 689, 519, 11315, 9018, 6316, 540, 519, 9018, 3119, 13692, 593, 519, 13617, 267, 799, 568, 11315, 1813, 547, 9888, 1386, 3046, 2125, 269, 634, 1599, 540, 713, 568, 7164, 269, 634, 5017, 616, 476, 1556, 1700, 1704, 4699, 1279, 543, 3109, 610, 3109, 7146, 22554, 538, 7990, 269, 634, 12593, 814, 606, 3979, 3892, 543, 782, 2249, 666, 581, 1336, 25061, 936, 4104, 543, 28816, 2529, 1400, 10394, 31994, 454, 763, 590, 1400, 10394, 31994, 630, 3682, 326, 928, 521, 1400, 334, 2801, 264, 568, 513, 2249, 540, 6177, 538, 519, 1920, 670, 597, 1495, 514, 13160, 563, 2005, 14981, 12931, 20325, 6053, 538, 22406, 29384, 8188, 1369, 12566, 27984, 752, 7733, 540, 519, 23683, 8496, 516, 12769, 1211, 531, 540, 7262, 6792, 269, 3465, 25390, 27540, 5638, 849, 2097, 689, 5617, 1125, 543, 30188, 269, 898, 568, 10924, 547, 5162, 538, 3162, 3013, 2529, 4822, 31994, 454, 763, 7013, 31994, 630, 3682, 326, 928, 1605, 7540, 264, 568, 513, 2249, 540, 6177, 538, 519, 1920, 670, 597, 1495, 514, 13160, 563, 2005, 568, 1336, 538, 18335, 543, 7013, 30643, 6902, 538, 5162, 621, 4955, 6233, 547, 519, 7262, 8835, 19438, 563, 21132, 2067, 9249, 616, 31210, 610, 9341, 5848, 1970, 1633, 4104, 267, 31210, 610, 9341, 5848, 1395, 339, 2033, 4104, 267, 31210, 610, 9341, 3819, 1970, 1633, 31922, 267, 31210, 610, 9341, 1164, 268, 5306, 3363, 31922, 267, 543, 4683, 2127, 2529, 342, 9994, 454, 763, 2220, 718, 3298, 267, 12004, 1231, 543, 4718, 2914, 902, 267, 610, 670, 597, 1495, 514, 13160, 267, 616, 513, 1920, 540, 1780, 518, 710, 5017, 1336, 1472, 519, 1158, 593, 782, 17407, 267, 1519, 12212, 538, 19778, 269, 4400, 569, 9862, 547, 19666, 8023, 267, 789, 723, 513, 10058, 5920, 269, 634, 2165, 4210, 9994, 568, 1031, 30351, 6053, 538, 2342, 607, 513, 28395, 585, 519, 28561, 15179, 269, 1703, 616, 1472, 476, 3445, 2249, 540, 670, 597, 1495, 514, 13160, 267, 5258, 883, 476, 866, 25281, 267, 609, 519, 6574, 4763, 1336, 538, 4000, 267, 799, 568, 849, 2219, 547, 581, 1141, 789, 7960, 607, 8559, 268, 5886, 1562, 269, 1358, 849, 2049, 593, 513, 1297, 540, 30173, 10195, 269, 589, 1297, 540, 3864, 543, 3345, 1977, 2249, 616, 1279, 26591, 20404, 282, 676, 4334, 267, 519, 4639, 543, 3162, 3979, 2220, 718, 3298, 616, 1875, 2173, 580, 24022, 563, 1607, 1920, 13408, 1079, 1016, 325, 7056, 625, 281, 28342, 665, 3559, 573, 517, 2088, 324, 630, 1492, 5757, 12004, 1231, 540, 519, 12593, 28342, 665, 3559, 573, 517, 264, 543, 670, 597, 1495, 514, 2088, 324, 630, 718, 824, 2220, 718, 3298, 267, 12004, 1231, 543, 4718, 2914, 902, 1040, 10738, 519, 6196, 2622, 267, 519, 2012, 31994, 11148, 547, 581, 1031, 585, 519, 4009, 337, 26904, 2249, 267, 543, 519, 2012, 15179, 585, 519, 811, 23643, 26904, 2249, 282, 2705, 267, 972, 568, 1100, 3621, 11984, 1063, 891, 1079, 2516, 269, 10738, 519, 1715, 2622, 267, 834, 27926, 514, 257, 568, 11603, 585, 2818, 540, 519, 12593, 4273, 928, 269, 630, 4322, 1079, 1949, 616, 3743, 585, 519, 5070, 31994, 1373, 1572, 834, 23810, 15179, 257, 538, 519, 1715, 2622, 4700, 0, 13356, 476, 1556, 267, 476, 1001, 275, 693, 476, 6187, 281, 3451, 6751, 454, 763, 546, 9579, 1782, 2679, 538, 519, 5961, 568, 540, 570, 10183, 543, 12465, 29844, 538, 2051, 3405, 4884, 267, 1325, 338, 864, 269, 898, 568, 513, 11308, 1958, 597, 743, 532, 6885, 282, 519, 27864, 540, 519, 2679, 568, 11108, 543, 22539, 269, 3371, 538, 519, 2051, 3405, 596, 786, 1294, 513, 1804, 1297, 540, 8748, 12465, 8490, 269, 634, 27610, 543, 1390, 7293, 4702, 596, 1265, 538, 2051, 3405, 4884, 568, 2731, 11108, 543, 835, 540, 519, 2749, 1034, 16122, 3601, 269, 634, 552, 14431, 540, 519, 2679, 568, 5963, 5863, 269, 1325, 338, 864, 568, 519, 11359, 2000, 8636, 23057, 540, 519, 476, 2767, 13102, 540, 5333, 538, 1858, 8513, 269, 901, 4990, 540, 1325, 338, 520, 1014, 17681, 7293, 4702, 1646, 568, 726, 550, 3814, 538, 8220, 2694, 540, 5125, 267, 2943, 741, 1808, 5763, 538, 1325, 338, 864, 568, 7640, 539, 547, 3309, 4128, 269, 570, 10183, 543, 12465, 29844, 616, 1082, 538, 713, 1858, 269, 1325, 338, 520, 1014, 12465, 8490, 540, 16025, 532, 729, 1336, 547, 6318, 519, 8594, 540, 18723, 269, 769, 2250, 2053, 267, 27142, 3459, 547, 5862, 519, 17021, 3043, 538, 2921, 1310, 609, 2142, 14513, 5025, 337, 1206, 7835, 269, 1677, 25339, 891, 1325, 338, 520, 1014, 4190, 7291, 519, 8664, 781, 7060, 5795, 6578, 776, 13344, 547, 519, 31269, 547, 5862, 519, 17021, 538, 1114, 24698, 267, 609, 513, 1808, 1439, 3804, 547, 2097, 1394, 547, 519, 1101, 1544, 269, 634, 1514, 7928, 540, 519, 1325, 338, 520, 1014, 32761, 267, 2147, 547, 538, 824, 4062, 540, 5125, 267, 2051, 3405, 17175, 12122, 13408, 540, 8075, 2919, 609, 3900, 619, 3514, 607, 513, 535, 1497, 1570, 538, 1377, 17981, 269, 570, 10183, 543, 12465, 29844, 616, 2731, 4190, 269, 769, 5239, 476, 9692, 274, 267, 2398, 17892, 543, 15212, 16091, 7187, 1325, 338, 864, 267, 607, 513, 5057, 540, 741, 6370, 547, 11177, 519, 3943, 2229, 269, 634, 3943, 8136, 22755, 519, 11371, 644, 619, 856, 267, 543, 1310, 602, 519, 3943, 21829, 2229, 3181, 4106, 730, 6114, 1996, 519, 1325, 338, 520, 1014, 17069, 864, 267, 7247, 789, 30199, 585, 1373, 4436, 4891, 269, 674, 2431, 2989, 267, 3875, 2043, 2451, 741, 5321, 538, 1325, 338, 864, 543, 14612, 7532, 543, 5087, 883, 4436, 11890, 267, 585, 1383, 267, 14068, 523, 543, 519, 6022, 520, 3729, 269, 634, 774, 8812, 13012, 2782, 630, 14065, 279, 268, 13932, 279, 264, 2813, 2283, 1049, 2242, 538, 2342, 269, 5125, 543, 1325, 338, 864, 941, 3226, 6766, 269, 634, 2112, 3769, 513, 1713, 1297, 540, 519, 6082, 540, 2342, 267, 543, 729, 21246, 958, 513, 4161, 1063, 7826, 17710, 543, 17557, 17710, 269, 1325, 338, 864, 729, 1851, 519, 6370, 3033, 338, 269, 6969, 519, 2112, 781, 1439, 267, 5125, 729, 811, 669, 5792, 982, 1022, 942, 538, 2487, 3965, 269, 4706, 3875, 11182, 267, 585, 1383, 267, 28554, 7559, 267, 4639, 13921, 807, 267, 543, 1866, 267, 5828, 856, 547, 581, 11207, 5131, 2829, 543, 7283, 602, 2619, 585, 1079, 5553, 269, 634, 2197, 540, 5125, 2760, 4625, 556, 14765, 1441, 2394, 476, 6942, 272, 563, 13356, 476, 4962, 267, 476, 1001, 275, 693, 476, 6734, 281, 1015, 7537, 454, 2080, 538, 519, 8666, 596, 666, 1294, 513, 22510, 543, 546, 9579, 1782, 570, 10183, 540, 31790, 609, 10875, 2070, 267, 621, 568, 5963, 1917, 340, 4979, 269, 634, 7291, 540, 519, 8466, 8490, 538, 2051, 3405, 267, 1325, 338, 864, 568, 2731, 20559, 1043, 543, 835, 540, 519, 2749, 1034, 1898, 4162, 269, 1325, 338, 864, 568, 519, 11359, 2000, 8636, 23057, 540, 519, 476, 2767, 2127, 540, 5333, 538, 1858, 7997, 269, 898, 568, 835, 540, 519, 18749, 2173, 739, 5394, 569, 2220, 28534, 543, 13026, 9634, 538, 5333, 282, 519, 4070, 9781, 540, 519, 2749, 5899, 553, 13118, 326, 568, 26648, 269, 634, 2797, 4567, 540, 1325, 338, 864, 814, 1044, 22393, 1764, 676, 2357, 16666, 5079, 267, 10617, 267, 543, 1898, 22257, 2152, 269, 634, 2749, 568, 519, 10160, 540, 3309, 4139, 15278, 269, 18127, 1194, 8490, 568, 519, 1898, 1448, 540, 1719, 538, 519, 2051, 3405, 4884, 269, 570, 10183, 540, 31790, 568, 1360, 4583, 1934, 269, 634, 1062, 540, 1818, 519, 2679, 9001, 11566, 16302, 11325, 543, 22393, 7369, 543, 8678, 4626, 1499, 609, 10549, 17956, 676, 5458, 11308, 8930, 269, 23305, 4058, 540, 3368, 2389, 574, 828, 532, 729, 1336, 547, 6318, 519, 10171, 540, 18723, 269, 769, 2250, 2053, 267, 9468, 656, 3323, 547, 5862, 519, 17021, 3043, 538, 2921, 1310, 609, 2142, 14513, 5025, 337, 1206, 7835, 269, 634, 2777, 799, 568, 8612, 538, 519, 8666, 568, 1500, 540, 689, 1390, 6149, 267, 609, 513, 1283, 711, 577, 6149, 269, 3962, 8466, 8490, 1185, 606, 1378, 14952, 538, 2051, 3405, 4884, 269, 1280, 513, 21233, 267, 9583, 267, 1325, 338, 864, 568, 5333, 781, 1655, 9174, 3384, 8664, 269, 634, 9174, 540, 1325, 338, 864, 568, 3812, 1210, 18683, 543, 568, 682, 8898, 538, 27272, 9821, 269, 1775, 4318, 269, 910, 2927, 640, 610, 3819, 3043, 25299, 950, 4334, 539, 609, 519, 824, 1713, 9174, 3384, 1327, 1446, 540, 5333, 910, 26990, 1495, 344, 799, 3622, 10953, 519, 2699, 9174, 610, 645, 867, 324, 14513, 910, 1586, 9174, 1500, 856, 540, 18683, 2705, 5310, 5768, 3373, 1016, 20598, 269, 1325, 338, 520, 1014, 9174, 1131, 538, 1082, 2665, 723, 519, 1880, 10992, 540, 834, 2704, 338, 864, 257, 593, 519, 795, 1872, 543, 538, 713, 1259, 1118, 741, 1378, 29267, 626, 752, 762, 7209, 269, 9866, 10810, 547, 1034, 267, 1325, 338, 864, 568, 11338, 835, 540, 5333, 781, 1034, 11327, 1786, 342, 3384, 13102, 269, 4495, 538, 2051, 3405, 267, 519, 1101, 2497, 547, 10950, 596, 786, 581, 519, 9835, 2025, 16456, 6728, 910, 717, 732, 1546, 2051, 3405, 269, 14956, 2989, 538, 476, 5002, 278, 267, 621, 568, 835, 540, 519, 1655, 9709, 16456, 10473, 538, 5333, 1336, 6899, 6316, 540, 519, 2025, 4884, 540, 2051, 3405, 269, 3690, 7964, 616, 16434, 543, 2285, 1390, 1569, 547, 782, 2694, 540, 2051 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 281, 14869, 543, 666, 3563, 6272, 267, 1312, 540, 799, 2445, 13897, 538, 513, 31432, 730, 9126, 269, 1280, 1034, 540, 519, 1686, 540, 12511, 2973, 619, 267, 891, 723, 1044, 519, 1034, 2442, 6272, 267, 855, 972, 616, 1082, 811, 2081, 547, 19022, 519, 32137, 1062, 269, 1284, 786, 1413, 693, 930, 540, 891, 538, 519, 1985, 3296, 543, 811, 1344, 281, 3047, 1667, 7749, 0, 15650, 540, 16142, 723, 11478, 585, 936, 476, 6110, 2929, 1296, 538, 519, 1158, 779, 12084, 269, 1358, 616, 2484, 4587, 982, 3425, 543, 824, 11864, 267, 1346, 20036, 267, 8949, 30226, 619, 269, 1744, 10225, 616, 4587, 982, 17878, 543, 1256, 4587, 982, 4054, 563, 15371, 596, 723, 513, 968, 18196, 540, 16142, 892, 30573, 11015, 547, 4137, 856, 267, 616, 15205, 513, 3014, 540, 1744, 1046, 2622, 267, 610, 723, 2141, 1044, 5461, 538, 891, 5694, 344, 3954, 714, 839, 540, 519, 2620, 267, 649, 4076, 3893, 596, 4988, 563, 19185, 547, 1451, 827, 12016, 16142, 286, 26812, 3990, 676, 519, 1533, 569, 4544, 16356, 286, 2107, 6148, 596, 4718, 606, 21425, 16356, 693, 513, 1857, 16983, 543, 616, 8049, 547, 1451, 811, 563, 1103, 713, 2376, 267, 649, 786, 2263, 519, 1082, 1114, 2010, 540, 16142, 602, 2291, 610, 2899, 11478, 269, 3245, 519, 7887, 16356, 2479, 602, 32170, 16385, 547, 519, 9510, 16356, 9800, 267, 972, 616, 2614, 1187, 5013, 827, 16142, 547, 1832, 596, 13026, 585, 513, 1360, 1279, 942, 563, 1432, 616, 519, 7756, 9537, 540, 1744, 10225, 888, 4537, 10225, 616, 930, 540, 519, 1034, 2189, 2831, 596, 786, 2479, 1265, 538, 519, 9533, 543, 7414, 744, 10895, 269, 3245, 10800, 16142, 547, 11818, 16142, 267, 789, 616, 3165, 899, 1022, 824, 269, 5221, 16142, 723, 1082, 3604, 602, 1118, 873, 17709, 540, 3478, 547, 917, 1732, 563, 1692, 3509, 9537, 540, 1744, 10225, 616, 972, 888, 2467, 616, 1152, 513, 1906, 16142, 602, 7001, 519, 2442, 9345, 267, 2356, 1317, 789, 2170, 609, 721, 3425, 538, 930, 1271, 1259, 269, 1809, 875, 1082, 1114, 2010, 540, 16142, 616, 972, 888, 2467, 616, 936, 476, 4335, 2249, 547, 581, 1336, 538, 519, 1158, 779, 12084, 950, 10203, 782, 2010, 540, 16142, 1634, 547, 812, 269, 25392, 16142, 723, 1044, 1472, 585, 7366, 540, 6634, 540, 1296, 267, 713, 568, 513, 9425, 1970, 1297, 563, 3719, 16142, 616, 19918, 1134, 9862, 547, 519, 2825, 12137, 1127, 789, 1265, 2933, 538, 269, 1306, 513, 1267, 267, 789, 11457, 543, 884, 857, 622, 3833, 7444, 269, 1744, 10225, 723, 27058, 741, 2392, 2218, 5759, 543, 1810, 1406, 1689, 1360, 1454, 936, 519, 552, 976, 269, 23985, 649, 30226, 619, 547, 519, 6429, 1058, 3314, 563, 3383, 1548, 7392, 540, 10960, 568, 513, 1744, 1046, 888, 2005, 4667, 6654, 602, 16142, 616, 3165, 269, 2991, 782, 267, 16356, 575, 1571, 616, 1360, 6654, 269, 1744, 10225, 849, 723, 27634, 543, 2661, 538, 519, 1216, 269, 1809, 616, 16142, 513, 1826, 540, 3165, 899, 1022, 824, 1107, 610, 568, 972, 811, 547, 891, 2831, 982, 10742, 519, 3750, 888, 6701, 1744, 10225, 513, 7392, 540, 12551, 888, 4537, 10225, 616, 3165, 855, 789, 616, 827, 607, 2484, 6569, 689, 824, 3165, 607, 596, 666, 1205, 1247, 1869, 1373, 20248, 1644, 547, 824, 3165, 269, 2368, 267, 899, 21425, 16142, 267, 1413, 4986, 899, 513, 6093, 16356, 269, 2755, 1866, 899, 519, 3109, 339, 760, 11818, 16356, 616, 5929, 538, 5920, 563, 4537, 10225, 8237, 1055, 689, 824, 3165, 1472, 476, 25396, 2929, 1296, 3516, 267, 799, 568, 513, 12732, 540, 942, 602, 568, 811, 610, 1447, 3564, 938, 2702, 547, 10146, 269, 1635, 6476, 267, 20133, 558, 1227, 2413, 3425, 723, 1152, 1044, 1472, 585, 476, 4335, 267, 1822, 547, 476, 272, 2929, 1296, 269, 1744, 10225, 616, 3504, 563, 1432, 7392, 540, 2480, 2297, 798, 1744, 10225, 723, 888, 4537, 10225, 1810, 1406, 723, 10253, 693, 782, 269, 3962, 1826, 540, 11818, 16356, 814, 5694, 344, 1486, 6350, 687, 1572, 546, 1069, 531, 7202, 2873, 269, 1744, 10225, 1810, 1406, 723, 10253, 693, 782, 269, 3962, 1826, 540, 11818, 16356, 814, 5694, 344, 1486, 6350, 687, 1572, 546, 1069, 531, 7202, 2873, 269, 1452, 968, 338, 7219, 4522, 892, 616, 1500, 540, 20018, 267, 519, 1482, 3940, 602, 2306, 909, 476, 3445, 260, 540, 707, 2960, 563, 2690, 16142, 267, 20018, 2861, 546, 1069, 531, 7202, 2873, 2569, 31285, 543, 1450, 873, 547, 1732, 2759, 998, 519, 1216, 563, 1432, 9537, 540, 1744, 1046, 29726, 616, 972, 888, 4537, 1046, 4522, 2097, 538, 513, 31417, 5044, 540, 5546, 267, 7306, 267, 543, 3029, 547, 9290, 1142, 1826, 540, 16356, 269, 769, 1249, 267, 621, 1131, 1491, 606, 2376, 7466, 713, 1279, 547, 2285, 596, 513, 3020, 15059, 540, 519, 2010, 540, 16356, 4522, 602, 2291, 563, 5278, 16356, 2249, 602, 723, 2523, 9490, 4522, 1331, 519, 979, 4565, 514, 16356, 269, 3962, 979, 4565, 514, 16356, 814, 4922, 22274, 4522, 1305, 538, 513, 9490, 581, 752, 563, 5194, 568, 519, 2823, 795, 11055, 16356, 269, 4256, 4522, 616, 6366, 2864, 982, 8325, 1317, 519, 2823, 795, 11055, 16356, 568, 513, 1826, 540, 16356, 602, 20555, 593, 2182, 1606, 17850, 539, 10352, 563, 21982, 513, 1849, 29141, 6733, 693, 3962, 7392, 540, 1744, 1046, 15661, 454, 4537, 10225, 2097, 538, 606, 6909, 5044, 540, 3029, 267, 689, 6263, 2249, 899, 519, 9490, 979, 4565, 514, 16142, 267, 9992, 2683, 16356, 267, 543, 533, 6680, 11739, 4177, 16356, 563, 3719, 540, 782, 519, 1114, 2010, 540, 16142, 856, 972, 267, 519, 7887, 16142, 616, 538, 930, 2081, 519, 1034, 3078, 269, 1924, 1577, 779, 1376, 972, 281, 1018, 568, 519, 7887, 16356, 286, 1656, 616, 891, 23766, 5906, 547, 3425, 888, 2662, 1446, 1744, 10225, 281, 22918, 548, 16902, 1218, 540, 519, 12213, 454, 2005, 666, 581, 2182, 547, 16833, 707, 2212, 1472, 1175, 875, 7372, 4628, 6738, 17962, 16142, 616, 269, 3962, 540, 519, 15013, 538, 519, 24611, 16983, 17962, 16356, 8858, 729, 936, 476, 1691, 3952, 1279, 269, 6904, 568, 5458, 585, 24095, 16142, 855, 1869, 1360, 1454, 9002, 3379, 547, 606, 2937, 563, 763, 4102, 17962, 16356, 9672, 729, 476, 8618, 3952, 1279, 269, 1358, 616, 519, 4102, 1875, 332, 2459, 6501, 9451, 24260, 2831, 538, 6228, 282, 1152, 513, 1906, 2010, 540, 16385, 616, 18219, 543, 3476, 982, 789, 616, 269, 769, 1249, 267, 789, 616, 519, 4102, 16356, 2249, 538, 519, 1158, 563, 1432, 798, 1733, 1446, 1744, 10225, 16202, 888, 2791, 8910, 1589, 7466, 827, 2469, 585, 513, 7669, 952, 596, 6785, 972, 941, 476, 2568, 20356, 17962, 16142, 7996, 547, 2879, 2255, 596, 269, 4256, 28182, 616, 811, 982, 2947, 3952, 2066, 282, 7899, 1804, 2614, 547, 15179, 596, 2898, 563, 4913, 267, 17962, 16142, 3049, 14311, 593, 28506, 2023, 543, 1507, 3165, 269, 769, 1249, 267, 741, 4522, 616, 811, 899, 513, 24095, 540, 6263, 533, 4459, 956, 2864, 982, 3020, 4522, 269, 5221, 1100, 24146, 610, 21400, 568, 2838, 950, 596, 6882, 3049, 593, 28506, 2023, 5215, 540, 2053, 4130, 982, 596, 563, 5415, 1733, 1446, 1744, 1046, 12700, 912, 2662, 1446, 16142, 267, 899, 1034, 24095, 16142, 267, 616, 865, 9543, 602, 596, 666, 7669, 7258, 610, 1256, 554, 3558, 513, 11878, 593, 835, 779, 533, 624, 7394, 27634, 538, 1082, 2477, 563, 2662, 1446, 16142, 4782, 9341, 7297, 899, 519, 20337, 658, 4095, 744, 10895, 543, 2057, 4025, 899, 519, 11335, 4262, 267, 1141, 824, 16142, 2661, 563, 289, 27965, 1744, 10225, 281, 519, 7046, 4826, 31207, 16376, 518, 454, 763, 20036, 1666, 6362, 16356, 2249, 949, 1413, 17116, 693, 513, 13680, 16145, 269, 23883, 950, 596, 1294, 875, 2647, 922, 5023, 666, 1930, 269, 1717, 267, 891, 803, 8615, 3165, 616, 2965, 28506, 2023, 29650, 267, 1739, 15649, 540, 28506, 2023, 267, 1507, 29068, 267, 543, 6263, 3165, 538, 1930, 7297, 563, 2414, 25501, 789, 7902, 547, 581, 1666, 6362, 538, 519, 3141, 2282, 519, 2627, 267, 8754, 741, 1455, 2012, 269, 769, 4641, 267, 891, 3500, 2173, 8221, 16142, 1780, 1947, 6882, 856, 10352, 689, 519, 1216, 1210, 741, 575, 1571, 269, 645, 27965, 16142, 2523, 2648, 2941, 788, 16104, 269, 6904, 616, 2484, 267, 2484, 4130, 982, 1022, 1480, 269, 1924, 596, 723, 4986, 547, 4250, 689, 513, 1666, 6362, 16356, 4323, 563, 5415, 645, 27965, 1744, 1046, 12700, 912, 268, 645, 27965, 16142, 941, 20749, 32170, 585, 513, 1279, 942, 585, 741, 3282, 11656, 561, 1392, 269, 3509, 5095, 25540, 689, 519, 2604, 855, 1631, 1034, 616, 6870, 563, 268, 4107, 16142, 4782, 9341, 7297, 855, 1666, 6362, 16142, 4782, 22465, 547, 21617, 7297, 269, 1358, 786, 849, 22109, 609, 519, 12405, 547, 1246, 3638, 28506, 2023, 18742, 563, 300, 20235, 31788, 281, 30947, 1744, 1046, 540, 2776, 20931, 454, 3528, 2484, 519, 1034, 4583, 8093, 16356, 568, 519, 803, 6549, 31788, 630, 302, 339, 21402, 803, 6549, 31788, 1040, 898, 19306, 519, 9345, 1317, 621, 729, 519, 512, 3146, 343, 540, 519, 21007, 18152, 12084, 563, 7617, 267, 538, 2013, 596, 5749, 1406, 5432, 609, 27230, 22184, 338, 267, 729, 711, 602, 1279, 3516, 269, 631, 20235, 31788, 1152, 4682, 17255, 1472, 476, 274, 2929, 1296, 3516, 267, 585, 4128, 711, 4628, 6956, 563, 19853, 4522, 2303, 602, 789, 616, 5702, 1644, 547, 519, 1390, 3043, 16356, 269, 1809, 2487, 2090, 1265, 602, 519, 3337, 568, 811, 1813, 547, 4780, 7217, 4720, 281, 803, 6549, 617, 976, 10480, 593, 1804, 7286, 11864, 865, 789, 2919, 4522, 2147, 547, 602, 540, 513, 1390, 3043, 585, 519, 2816, 563, 300, 20235, 617, 976, 616, 5672, 651, 7758, 16142, 543, 4061, 11397, 30980, 540, 1390, 16543, 269, 1809, 1100, 835, 6487, 952, 789, 2965, 6743, 899, 513, 1390, 3043, 610, 711, 267, 607, 596, 2356, 1294, 538, 10411, 15297, 563, 29128, 649, 1265, 513, 22403, 267, 1018, 803, 6549, 31788, 2965, 6743, 899, 786, 2611, 513, 1390, 9814, 827, 891, 3504, 803, 8615, 16142, 563, 1432, 568, 519, 8262, 7465, 1744, 1046, 888, 763, 7887, 16356, 2249, 2479, 568, 2693, 2901, 519, 17962, 16356, 610, 519, 803, 6549, 31788, 269, 898, 568, 2182, 547, 917, 585, 2386, 1317, 16356, 7729, 30416, 616, 865, 5393, 4686, 543, 649, 1810, 1406, 723, 1022, 803, 6549, 31788, 7729, 30416, 547, 960, 609, 267, 1152, 8093, 1242, 16356, 4522, 563, 3719, 2413, 9193, 585, 803, 6549, 31788, 16356, 2450, 693, 922, 5021, 616, 12341, 1063, 476, 2412, 543, 476, 3583, 3952, 269, 6904, 568, 5594, 3677, 982, 519, 13074, 1634, 17962, 16142, 563, 1607, 2306, 519, 803, 6549, 31788, 519, 7887, 16356, 2479, 630, 7474, 649, 917, 540, 1040, 2334, 1767, 267, 519, 3328, 803, 6549, 31788, 16356, 2450, 729, 2693, 968, 21671, 892, 476, 1789, 3952, 1279, 563, 5415, 631, 20235, 31788, 12700, 454, 268, 634, 3621, 2012, 968, 332, 20235, 31788, 892, 12777, 1797, 968, 15927, 5694, 3034, 268, 26187, 559, 17962, 7633, 723, 1044, 1336, 609, 26711, 602, 2303, 6285, 689, 519, 803, 6549, 31788, 20599, 16356, 563, 268, 14755, 8093, 16356, 4522, 267, 649, 1256, 723, 8093, 16356, 31997, 630, 19817, 1503, 2572, 264, 5156, 547, 723, 2097, 689, 803, 6549, 31788, 563, 1432, 568, 519, 4107, 667, 836, 2730, 1744, 1046, 888, 2252, 596, 616, 513, 7928, 7260, 30559, 518, 899, 803, 1287, 693, 930, 1448, 596, 1590, 723, 9289, 1018, 1826, 540, 16356, 568, 808, 9155, 286, 2991, 782, 267, 519, 9543, 17962, 543, 1666, 6362, 16142, 6157, 1810, 1406, 3548, 1004, 563, 763, 803, 6549, 31788, 20599, 16356, 1131, 4440, 1265, 3425, 8949, 269, 31453, 621, 20374, 630, 8413, 264, 513, 1906, 2929, 1296, 3516, 269, 2913, 779, 2911, 827, 930, 2392, 2218, 16142, 563, 763, 667, 836, 2730, 10671, 22044, 1744, 10225, 454, 8253, 782, 1270, 22044, 16356, 2249, 616, 5906, 547, 1004, 269, 2368, 267, 971, 607, 519, 3623, 5652, 16142, 267, 616, 1507, 3165, 3887, 11596, 269, 634, 3623, 5652, 16356, 666, 3362, 581, 19451, 585, 824, 267, 811, 10728, 2249, 899, 3109, 339, 760, 11818, 16142, 693, 513, 13680, 16145, 563, 4913, 267, 1270, 22044, 16142, 630, 10193, 1634, 607, 513, 11818, 16356, 610, 2666, 16142, 264, 616, 2309, 2065, 267, 3728, 267, 543, 20437, 269, 1280, 1383, 267, 519, 17642, 564, 760, 11818, 16356, 568, 1507, 2943, 568, 849, 1634, 547, 11116, 4129, 593, 14147, 18625, 563, 7712, 14147, 18625, 616, 513, 7928, 1747, 585, 4129, 547, 3049, 3552 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 851, 540, 834, 31900, 1299, 22957, 1315, 14295, 2762, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 547, 938, 5986, 7045, 998, 519, 4190, 10195, 540, 519, 12144, 543, 4639, 28851, 256, 4653, 267, 649, 3513, 2263, 835, 540, 922, 1034, 8949, 543, 29316, 8286, 910, 20299, 4618, 7603, 330, 26560, 609, 7233, 1622, 269, 901, 8670, 786, 6338, 721, 547, 519, 2189, 6492, 540, 20299, 4618, 7603, 330, 17897, 532, 543, 930, 15813, 1989, 3739, 2553, 256, 1924, 10544, 707, 24203, 976, 543, 1577, 781, 4685, 1318, 538, 2439, 2162, 1548, 781, 7603, 330, 17897, 532, 2496, 5331, 3054, 593, 513, 9341, 6532, 11303, 676, 12627, 2312, 7297, 543, 18932, 3039, 7733, 269, 1306, 596, 3802, 2059, 513, 22501, 11824, 267, 596, 6952, 513, 627, 858, 540, 1945, 5863, 4947, 689, 513, 7404, 554, 583, 4904, 609, 5023, 22476, 24462, 269, 2334, 17175, 24710, 568, 1018, 649, 1289, 1412, 329, 17064, 9538, 898, 2501, 689, 513, 2027, 11100, 540, 11922, 543, 14546, 1572, 20299, 4618, 7603, 330, 17897, 532, 269, 2368, 1455, 5820, 1336, 538, 28478, 802, 4005, 902, 616, 782, 4944, 823, 267, 16815, 1889, 267, 13342, 267, 22323, 267, 24036, 267, 2428, 332, 1122, 267, 20909, 267, 1085, 582, 577, 13755, 6339, 18717, 630, 6518, 2285, 621, 513, 2370, 14736, 1070, 543, 1082, 824, 5728, 1920, 10346, 5293, 1524, 998, 5481, 780, 3086, 267, 1354, 649, 4019, 938, 795, 17064, 4005, 532, 547, 519, 9269, 267, 1577, 781, 1451, 827, 606, 1898, 12146, 1107, 519, 22800, 2030, 664, 256, 5620, 596, 2479, 6836, 2030, 1622, 1354, 286, 1358, 1413, 899, 2462, 5835, 20397, 267, 855, 3972, 803, 267, 891, 5749, 1405, 5921, 585, 12899, 10833, 256, 681, 6559, 2030, 1622, 723, 513, 6653, 8137, 2147, 547, 513, 3575, 1063, 19337, 543, 22481, 2650, 269, 962, 636, 256, 1879, 11273, 5265, 267, 741, 9403, 3587, 2571, 543, 27598, 1175, 899, 11792, 1117, 12277, 269, 16319, 4277, 267, 3085, 1405, 621, 286, 3767, 4952, 875, 1434, 789, 1131, 6492, 950, 19610, 909, 609, 938, 1990, 17965, 795, 17064, 9269, 2439, 4131, 781, 2322, 1927, 938, 1360, 1378, 19471, 795, 17064, 4005, 532, 1210, 2241, 20562, 787, 25411, 1255, 1384, 265, 476, 273, 512, 26138, 6960, 4006, 454, 265, 476, 272, 512, 26138, 13099, 27996, 454, 265, 476, 272, 512, 26138, 13342, 8869, 454, 265, 476, 272, 512, 26138, 22323, 8869, 454, 265, 476, 272, 512, 26138, 12015, 16815, 1889, 3762, 454, 265, 476, 272, 512, 26138, 2666, 782, 4944, 823, 454, 265, 476, 272, 512, 26138, 3109, 14723, 454, 265, 476, 272, 512, 4944, 2666, 24036, 454, 265, 476, 272, 512, 4944, 2666, 2428, 332, 1122, 454, 265, 476, 272, 270, 275, 512, 4944, 524, 599, 26413, 14723, 630, 28436, 267, 4470, 593, 875, 1454, 3002, 596, 4782, 2020, 300, 1460, 3388, 1134, 538, 513, 1507, 12826, 2394, 4628, 5916, 269, 5590, 11735, 827, 1079, 26486, 4502, 540, 713, 7848, 585, 2663, 282, 649, 3513, 991, 621, 1310, 649, 3434, 938, 9269, 780, 11742, 547, 5965, 938, 5182, 12146, 910, 519, 9269, 256, 1280, 1655, 2164, 267, 3442, 2960, 1652, 9269, 25427, 338, 2094, 789, 3251, 5848, 543, 13035, 1256, 1282, 1164, 13463, 520, 1989, 3739, 269, 3213, 520, 1142, 4062, 1252, 3585, 609, 14462, 3282, 1287, 20057, 548, 873, 5391, 518, 958, 609, 938, 28448, 1500, 795, 17064, 4005, 532, 269, 5269, 2386, 1169, 562, 809, 543, 1835, 15967, 4991, 4988, 865, 602, 519, 10366, 23309, 2620, 3330, 269, 2913, 1346, 17944, 1964, 1247, 649, 960, 593, 1776, 1271, 5057, 910, 519, 14036, 2439, 5978, 3638, 543, 8126, 344, 14036, 814, 3178, 7064, 547, 835, 1883, 12146, 281, 17292, 1901, 653, 320, 28397, 576, 269, 1403, 596, 10093, 1405, 4862, 540, 621, 2943, 267, 1100, 19048, 256, 16514, 513, 5347, 267, 4158, 11954, 11337, 577, 1575, 29689, 609, 3636, 14546, 971, 607, 804, 7174, 267, 24036, 267, 543, 782, 4944, 823, 269, 4495, 8118, 267, 922, 2927, 640, 20416, 25361, 519, 4055, 14678, 269, 1677, 1711, 938, 22023, 626, 1043, 1019, 6137, 14036, 267, 9192, 3160, 2694, 540, 11337, 577, 1575, 267, 17292, 1901, 653, 320, 28397, 576, 267, 11945, 524, 3187, 16693, 267, 543, 9932, 269, 13648, 713, 598, 1723, 794, 7444, 936, 1970, 3002, 2394, 4389, 5594, 267, 2870, 513, 23198, 11007, 3501, 585, 15098, 938, 30861, 795, 17064, 9269, 4773, 780, 7661, 267, 1934, 2501, 519, 1187, 851, 910, 717, 6020, 17247, 5058, 256, 6787, 596, 2811, 18822, 2614, 547, 723, 606, 9205, 1989, 650, 610, 12758, 609, 606, 11255, 4528, 267, 4250, 711, 256, 5637, 2409, 6556, 9735, 2164, 269, 2776, 17742, 707, 6074, 3926, 547, 5420, 30041, 3002, 269, 9255, 519, 19023, 9269, 5402, 5196, 519, 1989, 919, 1818, 2386, 972, 781, 6190, 2230, 1063, 1142, 4062, 269, 19171, 519, 19984, 543, 1450, 873, 547, 521, 11170, 548, 2476, 3768, 626, 32328, 585, 1472, 2947, 3764, 829, 2427, 269, 30850, 267, 2569, 519, 2837, 547, 1970, 267, 3382, 1586, 267, 543, 3136, 5986, 2394, 4835, 5210, 3914, 476, 13679, 13790, 630, 12671, 4557, 811, 3764, 1040, 5213, 1405, 7340, 547, 536, 4292, 4749, 609, 938, 632, 937, 762, 14036, 2429, 519, 1184, 2439, 4407, 7996, 585, 938, 1292, 16007, 267, 1577, 781, 2490, 938, 3007, 1394, 547, 1346, 26345, 2030, 1622, 649, 1305, 11735, 4505, 269, 15439, 20105, 873, 25241, 958, 883, 3368, 20878, 5394, 21100, 269, 14333, 909, 513, 1236, 32576, 6067, 1078, 21066, 609, 7423, 610, 3282, 936, 5420, 3002, 269, 5410, 519, 5423, 2030, 664, 21100, 543, 1094, 583, 2946, 873, 9900, 2394, 11344, 6960, 269, 4469, 760, 12212, 547, 2327, 1312, 5011, 3035, 6099, 26546, 1465, 269, 14109, 30257, 609, 6070, 547, 6492, 269, 1635, 1631, 267, 707, 10051, 1590, 9329, 31676, 2439, 5629, 2944, 267, 4483, 519, 9269, 5196, 513, 6676, 20898, 609, 1957, 28734, 547, 10110, 1022, 4430, 7509, 269, 570, 550, 29101, 609, 23240, 547, 1832, 3636, 269, 14190, 519, 5779, 547, 1964, 585, 5111, 2947, 3764, 1354, 7674, 269, 4438, 713, 942, 267, 519, 4887, 11103, 6001, 267, 20808, 10475, 23238, 1369, 267, 4180, 1142, 11116, 28377, 609, 5021, 8137, 780, 306, 2925, 7258, 938, 9985, 1989, 2683, 795, 17064, 9269, 616, 519, 1286, 14712, 1242, 2030, 1622, 649, 5249, 2182, 593, 4505, 269, 30449, 873, 609, 3063, 11603, 795, 17064, 4005, 532, 543, 938, 9416, 268, 5585, 532, 3766, 797, 14036, 269, 17949, 713, 11477, 3460, 2066, 519, 10875, 24528, 540, 519, 12144, 543, 4639, 28851, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 9616, 281, 594, 4076, 8242, 713, 11600, 547, 2604, 3434, 585, 476, 1015, 3764, 269, 594, 1031, 547, 4363, 476, 1321, 3764, 267, 855, 519, 9269, 666, 1205, 22848, 10541, 2523, 952, 596, 2461, 1989, 3739, 26063, 563, 6826, 2386, 547, 946, 2030, 1622, 543, 711, 20397, 267, 543, 789, 1058, 581, 22691, 269, 589, 22691, 2030, 664, 5654, 2186, 540, 936, 268, 686, 701, 538, 519, 8666, 1657, 563, 19522, 543, 15240, 4801, 454, 1607, 11600, 3096, 20299, 4618, 795, 17064, 4005, 532, 602, 568, 711, 1932, 25970, 563, 2252, 596, 1616, 547, 1118, 621, 838, 545, 1512, 267, 596, 666, 1039, 8857, 577, 13755, 6339, 3905, 14036, 610, 29656, 22872, 8857, 577, 13755, 6339, 18717, 547, 707, 9269, 2261, 514, 1228, 563, 6826, 2386, 547, 946, 513, 1769, 5905, 267, 1317, 789, 2461, 25970, 18717, 256, 10201, 2299, 596, 1223, 946, 513, 7646, 518, 31625, 14723, 563, 763, 11600, 7125, 585, 17292, 1901, 653, 320, 28397, 576, 799, 568, 513, 20299, 4618, 7873, 2939, 5627, 23984, 541, 785, 269, 594, 993, 2111, 547, 1265, 621, 538, 1250, 2834, 17365, 4558, 1141, 519, 3046, 13069, 826, 27156, 616, 4421, 269, 1411, 666, 849, 1265, 621, 593, 32312, 563, 2691, 596, 2461, 4227, 519, 14036, 267, 4585, 585, 10943, 2660, 269, 594, 946, 513, 10943, 2660, 5496, 563, 2252, 596, 1810, 1406, 723, 1569, 547, 513, 1989, 650, 596, 666, 9096, 621, 1055, 538, 519, 14089, 593, 519, 2156, 559, 3936, 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, 4821, 4618, 7603, 330, 17897, 532, 543, 6182, 3739, 9828, 257, 607, 851, 540, 834, 23733, 1315, 13636, 1299, 8836, 1315, 12144, 1299, 4639, 4095, 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, 8923, 1246, 891, 3268, 5402, 547, 2057, 10539, 267, 17140, 267, 610, 26516, 4539, 780, 1262, 3721, 476, 272, 281, 21733, 790, 519, 3026, 10354, 10049, 4373, 265, 2878, 1432, 596, 991, 5093, 589, 5299, 540, 519, 5177, 4528, 540, 3933, 30496, 4604, 3014, 267, 1519, 519, 3014, 4216, 267, 4604, 267, 21797, 267, 4960, 6486, 267, 2146, 9221, 6486, 267, 2724, 267, 543, 18062, 563, 265, 2878, 8489, 547, 1205, 621, 5093, 1411, 666, 6718, 519, 3014, 693, 513, 10685, 4558, 602, 23619, 9162, 543, 3756, 630, 324, 3052, 1421, 1677, 903, 681, 2974, 267, 14803, 657, 264, 610, 2228, 998, 606, 552, 19645, 3760, 899, 8835, 563, 453, 266, 1677, 979, 547, 513, 10685, 4558, 912, 453, 453, 268, 4855, 513, 2679, 609, 4191, 10834, 621, 781, 513, 11442, 4558, 630, 19972, 585, 10477, 27291, 543, 1913, 899, 834, 2414, 903, 681, 2974, 257, 1916, 453, 453, 268, 13979, 519, 13675, 543, 7903, 9706, 1638, 519, 7450, 1930, 630, 24119, 2056, 593, 922, 1374, 1916, 453, 453, 268, 12532, 3330, 543, 1413, 1472, 585, 21684, 5627, 4604, 3756, 563, 453, 453, 268, 700, 11229, 519, 3933, 30496, 3296, 543, 4584, 909, 513, 5299, 540, 519, 5177, 4528, 563, 453, 453, 268, 1160, 3865, 547, 519, 2638, 719, 4831, 543, 1688, 936, 707, 8569, 1505, 630, 322, 1662, 270, 920, 9016, 3556, 1916, 453, 453, 268, 634, 6666, 1512, 786, 1184, 707, 11834, 543, 1683, 596, 609, 519, 3014, 563, 453, 266, 1677, 4444, 2228, 912, 453, 453, 268, 2422, 513, 2780, 610, 5985, 3926, 4448, 547, 519, 4950, 563, 453, 453, 268, 7046, 513, 1357, 11422, 630, 3697, 5616, 24904, 610, 6380, 926, 264, 543, 6330, 547, 606, 552, 19645, 3896, 630, 324, 3052, 1421, 32312, 16691, 16896, 1916, 453, 453, 268, 9612, 585, 834, 20084, 3933, 30496, 4604, 3014, 257, 1210, 519, 3406, 3046, 563, 453, 453, 268, 8437, 593, 519, 5551, 1587, 17609, 543, 8399, 547, 2638, 856, 563, 453, 453, 268, 9373, 707, 11288, 2232, 543, 8569, 3877, 607, 19430, 563, 453, 453, 268, 27016, 585, 519, 3014, 547, 12446, 3842, 2022, 531, 3028, 610, 4172, 8175, 780, 1262, 3721, 476, 273, 281, 25800, 23126, 609, 519, 10794, 22020, 4373, 265, 2878, 15411, 519, 3014, 4216, 5093, 15579, 519, 4216, 609, 1312, 3946, 267, 835, 1688, 593, 2901, 2427, 267, 543, 9900, 12740, 519, 19984, 1055, 676, 17444, 20733, 563, 265, 2878, 2750, 8533, 519, 9115, 5093, 28392, 4894, 519, 3688, 689, 519, 4216, 543, 1747, 873, 593, 513, 6366, 2627, 1369, 3914, 563, 265, 2878, 26368, 1883, 3334, 26279, 453, 266, 8274, 281, 589, 1804, 267, 16784, 762, 6656, 609, 12383, 540, 1585, 6753, 538, 519, 5177, 563, 453, 266, 15480, 839, 281, 9540, 19562, 1149, 1031, 547, 2099, 5716, 262, 5322, 630, 324, 3052, 1421, 8845, 773, 2915, 267, 1283, 11058, 1916, 453, 266, 667, 823, 281, 5565, 1507, 18695, 609, 2338, 476, 272, 268, 277, 593, 1142, 3068, 267, 1031, 585, 8159, 3350, 9883, 563, 453, 266, 26554, 543, 7991, 30446, 6486, 281, 1546, 4242, 540, 6486, 609, 5528, 610, 20507, 270, 2548, 4926, 585, 29863, 563, 453, 266, 14559, 281, 7591, 9304, 1031, 585, 8852, 1282, 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 ]

[ 543, 1715, 10215, 563, 7659, 4681, 689, 519, 11968, 13353, 2689, 3769, 912, 1432, 6496, 621, 2353, 6399, 888, 21893, 772, 2529, 269, 1353, 4951, 930, 2312, 12205, 1369, 1142, 1104, 4099, 1063, 519, 12136, 540, 15038, 538, 1560, 2837, 543, 1981, 2188, 267, 971, 607, 2085, 543, 9742, 2437, 3004, 889, 5937, 1173, 28739, 6045, 563, 3080, 7681, 519, 14830, 12579, 1336, 729, 811, 11506, 2837, 5638, 1851, 7820, 9640, 982, 4587, 9640, 693, 782, 1614, 1104, 7740, 563, 9199, 889, 5937, 1173, 28739, 6700, 621, 781, 2009, 602, 7820, 9640, 1223, 581, 693, 2362, 1981, 585, 3384, 11506, 5210, 1813, 547, 3668, 540, 1995, 609, 2011, 3560, 543, 5924, 18687, 547, 3560, 2566, 563, 24679, 781, 849, 2009, 602, 519, 3339, 1560, 2837, 585, 930, 540, 891, 7820, 2831, 568, 827, 519, 476, 6200, 269, 276, 13790, 630, 4343, 269, 277, 13790, 264, 3989, 607, 11506, 585, 713, 1867, 2437, 1352, 1767, 563, 9827, 267, 3004, 889, 5937, 1173, 28739, 7074, 602, 834, 293, 1845, 2103, 941, 693, 3152, 1981, 982, 824, 14981, 585, 11506, 5210, 693, 1312, 15829, 5025, 2975, 543, 12924, 288, 2975, 282, 1100, 674, 1845, 2103, 941, 16865, 998, 10790, 2975, 1701, 2701, 3773, 602, 2417, 3877, 1644, 547, 1946, 1978, 14981, 3100, 811, 2693, 547, 1020, 606, 11506, 1560, 2837, 941, 3544, 519, 9165, 540, 713, 1880, 1353, 563, 12234, 267, 834, 763, 9860, 540, 11506, 5210, 1851, 9640, 538, 31741, 9867, 676, 4099, 267, 543, 972, 8604, 547, 581, 606, 3310, 540, 4099, 711, 4330, 676, 519, 2139, 1239, 2437, 3004, 889, 5937, 1173, 28739, 7074, 267, 4946, 602, 972, 941, 2693, 3606, 2188, 711, 12649, 538, 519, 1699, 1353, 602, 6766, 519, 11506, 5210, 538, 930, 540, 519, 9640, 563, 7661, 267, 3004, 889, 5937, 1173, 28739, 13713, 5941, 513, 2783, 1572, 5626, 2566, 14001, 4473, 538, 4295, 2837, 630, 4916, 305, 6311, 264, 602, 814, 1044, 4330, 538, 519, 3332, 281, 834, 2005, 4667, 2009, 602, 930, 540, 519, 11506, 1560, 5210, 4810, 676, 16865, 9640, 593, 12625, 693, 519, 1104, 4099, 267, 3226, 1346, 602, 17251, 1510, 2126, 610, 609, 513, 2582, 9570, 540, 715, 6347, 2839, 267, 2099, 513, 1106, 540, 11553, 306, 6311, 4799, 7212, 519, 1699, 1353, 26857, 513, 3984, 540, 1344, 827, 519, 9860, 540, 11506, 1560, 2837, 538, 16865, 9640, 267, 972, 568, 1454, 2451, 547, 1451, 281, 834, 26046, 540, 519, 4540, 1239, 4857, 1896, 2188, 2404, 609, 1981, 540, 606, 15038, 538, 2837, 2437, 3004, 889, 5937, 1173, 28739, 11943, 267, 15663, 602, 3606, 1382, 568, 2877, 547, 10502, 22942, 519, 2014, 540, 543, 5574, 585, 891, 11506, 5210, 1851, 16865, 9640, 563, 11514, 25068, 281, 16418, 519, 5796, 540, 513, 11727, 16943, 1354, 23312, 609, 1022, 5868, 267, 2126, 267, 610, 3797, 269, 0, 288, 1940, 762, 25059, 2348, 513, 2527, 540, 476, 278, 4846, 543, 513, 3444, 22891, 1858, 540, 476, 277, 4699, 273, 20637, 476, 271, 269, 1704, 12387, 540, 606, 4998, 3154, 538, 513, 7299, 12718, 269, 634, 25059, 15942, 1510, 11508, 538, 519, 12718, 269, 634, 3544, 540, 519, 12718, 568, 6854, 693, 11626, 2604, 267, 476, 272, 269, 25320, 9943, 10755, 14529, 563, 320, 264, 1548, 568, 519, 2604, 538, 519, 12718, 888, 321, 264, 1215, 1454, 960, 568, 2944, 676, 519, 3154, 950, 922, 2837, 568, 2799, 689, 476, 736, 9180, 547, 476, 25134, 9180, 888, 322, 264, 1548, 729, 519, 1689, 538, 519, 14965, 1761, 1648, 540, 519, 25059, 888, 323, 264, 1635, 1018, 4463, 729, 519, 25059, 6659, 286, 0, 293, 677, 645, 754, 6019, 1193, 1161, 547, 581, 519, 1034, 1920, 7874, 2146, 538, 7147, 676, 3246, 513, 1164, 2298, 267, 23429, 543, 2922, 1604, 269, 3962, 8257, 543, 1528, 633, 5604, 2488, 3728, 267, 7874, 3028, 547, 922, 5561, 543, 16111, 1193, 1161, 547, 581, 1297, 835, 538, 4398, 543, 7145, 269, 634, 8189, 619, 7040, 7208, 1571, 922, 5718, 1909, 676, 3246, 2556, 2200, 547, 519, 13646, 543, 13623, 547, 9585, 741, 11645, 543, 3853, 676, 9591, 23348, 267, 4507, 543, 5773, 547, 1118, 519, 1034, 3608, 946, 540, 519, 2200, 543, 676, 8362, 13197, 2298, 4213, 547, 12398, 538, 10783, 645, 754, 6019, 563, 293, 677, 645, 754, 6019, 568, 4092, 538, 519, 20279, 23195, 1858, 540, 22703, 7147, 269, 898, 13315, 513, 2698, 540, 476, 279, 4037, 269, 271, 4009, 5195, 630, 6321, 273, 267, 28794, 14143, 1040, 634, 14099, 9775, 689, 1377, 547, 9900, 12902, 609, 6173, 725, 689, 476, 5379, 547, 476, 14096, 3952, 1657, 4262, 1377, 267, 609, 606, 3328, 15038, 540, 476, 5952, 3952, 269, 2475, 476, 6795, 21986, 525, 519, 4099, 540, 519, 6019, 689, 22583, 547, 22236, 267, 1247, 2475, 476, 3445, 288, 22613, 689, 7532, 547, 7178, 269, 3557, 4400, 1811, 630, 17239, 264, 476, 277, 267, 476, 3607, 543, 476, 4200, 1683, 1271, 5087, 1606, 1926, 11507, 269, 27199, 321, 1681, 17521, 616, 21388, 267, 4858, 345, 18319, 267, 20831, 267, 9931, 518, 543, 1733, 691, 517, 563, 763, 3395, 4005, 568, 476, 30640, 2395, 267, 609, 606, 3328, 5993, 11811, 540, 476, 3393, 269, 274, 6279, 269, 634, 3328, 1101, 19068, 4266, 538, 519, 2887, 568, 5412, 476, 278, 267, 543, 519, 3328, 2063, 19068, 4266, 568, 5988, 476, 1691, 269, 31301, 2137, 2039, 689, 513, 1611, 5934, 538, 5130, 540, 476, 6078, 23263, 547, 513, 1611, 5021, 538, 5147, 540, 476, 11152, 23263, 269, 634, 13323, 540, 6792, 568, 4092, 1152, 476, 2004, 5195, 689, 10783, 645, 754, 6019, 543, 922, 2673, 16133, 2337, 547, 3180, 519, 4832, 543, 5162, 5210, 547, 9793, 2157, 269, 6987, 23767, 538, 20296, 2242, 616, 2356, 2110, 538, 8653, 563, 293, 677, 645, 754, 6019, 814, 5111, 476, 1556, 4009, 5195, 540, 2627, 1216, 538, 8933, 267, 524, 872, 802, 543, 1507, 12647, 269, 634, 6019, 568, 27071, 676, 519, 4858, 345, 657, 543, 5842, 24527, 23117, 607, 1134, 607, 744, 344, 3122, 15880, 269, 634, 4858, 345, 657, 5211, 4646, 513, 3376, 782, 12320, 658, 14860, 267, 909, 547, 4557, 5195, 2647, 538, 4025, 269, 634, 4611, 15417, 11934, 723, 1044, 513, 2101, 7700, 3815, 547, 519, 6694, 2872, 538, 519, 6019, 563, 763, 1614, 18385, 10581, 762, 25825, 538, 10783, 645, 754, 6019, 616, 519, 4858, 345, 657, 5211, 267, 519, 5842, 24527, 5211, 5045, 540, 12426, 547, 10369, 10003, 476, 4510, 273, 267, 543, 744, 344, 3122, 15880, 5045, 540, 3557, 23681, 476, 277, 269, 634, 5842, 24527, 5211, 5045, 540, 3955, 8063, 23681, 476, 1015, 568, 513, 4005, 958, 10581, 762, 1216, 3118, 267, 3838, 593, 519, 7178, 609, 11105, 17521, 269, 1924, 2812, 4268, 689, 519, 3638, 782, 12320, 658, 11934, 538, 519, 4858, 345, 657, 5211, 9503, 547, 22501, 3138, 600, 543, 10036, 593, 519, 9299, 597, 625, 269, 7111, 4054, 1331, 890, 4754, 267, 18073, 267, 11849, 543, 10412, 6229, 267, 609, 930, 2025, 5377, 1633, 7733, 6967, 2059, 25825, 563, 14737, 1968, 2200, 1331, 3282, 267, 3154, 267, 543, 16247, 269, 9995, 267, 10036, 267, 543, 18574, 616, 20749, 3812, 269, 0, 15697, 7467, 26643, 454, 290, 984, 933, 2125, 538, 519, 19922, 267, 7452, 593, 519, 21300, 22403, 267, 8983, 538, 4859, 910, 513, 18660, 9754, 2164, 538, 4057, 21233, 1995, 543, 4057, 10070, 11091, 269, 769, 513, 9754, 267, 27194, 2731, 568, 1985, 547, 5601, 17349, 269, 7467, 27686, 17943, 7710, 3388, 596, 991, 547, 917, 827, 7738, 707, 10070, 269, 19893, 1451, 950, 547, 2973, 910, 543, 950, 711, 547, 2973, 269, 1358, 849, 1451, 875, 547, 1118, 1346, 3664, 269, 11762, 2039, 689, 2596, 2777, 15209, 547, 1808, 2553, 585, 1808, 3615, 269, 1411, 786, 1451, 1946, 7738, 568, 1271, 543, 875, 547, 2061, 3441, 950, 7738, 269, 1284, 786, 1413, 693, 1808, 2553, 602, 7413, 3441, 1247, 3478, 519, 960, 2944, 269, 1656, 649, 786, 1865, 950, 547, 1289, 538, 513, 11285, 267, 971, 607, 513, 11122, 1807, 269, 4841, 786, 1711, 513, 2777, 15209, 8261, 585, 741, 9872, 563, 273, 264, 3397, 757, 540, 667, 2678, 1640, 566, 454, 274, 264, 2657, 543, 3106, 585, 519, 1843, 543, 585, 596, 454, 275, 264, 16811, 543, 7727, 454, 276, 264, 27686, 2553, 454, 278, 264, 11354, 27686, 281, 5600, 15209, 15015, 454, 27396, 1218, 538, 7467, 27686, 17943, 960, 998, 6810, 693, 741, 1378, 10605, 269, 26189, 528, 717, 4958, 7770, 18722, 568, 2139, 585, 16516, 4757, 1489, 269, 10049, 543, 2200, 1331, 2228, 3332, 267, 13472, 15872, 543, 13972, 1063, 1053, 543, 2228, 669, 1846, 3366, 676, 519, 14357, 269, 634, 1576, 568, 3908, 547, 476, 736, 5171, 563, 300, 5237, 27686, 17943, 8255, 3670, 4374, 269, 1677, 15395, 513, 5544, 538, 519, 1576, 267, 5225, 2628, 693, 5291, 2517, 4178, 31815, 3005, 3249, 3820, 14121, 553, 14121, 553, 11258, 1403, 596, 723, 8373, 5225, 3346, 24796, 1325, 1084, 693, 18078, 17106, 11333, 3820, 454, 22923, 22227, 585, 9049, 24241, 281, 7467, 27686, 17943, 912, 763, 1576, 1543, 543, 15872, 941, 1360, 13181, 267, 519, 16929, 941, 1360, 5363, 543, 16990, 267, 543, 519, 10467, 267, 3226, 519, 3946, 6823, 4255, 543, 7738, 267, 4547, 519, 15872, 547, 1272, 267, 607, 649, 13736, 1018, 649, 1185, 4121, 563, 296, 17329, 519, 1806, 602, 4553, 519, 3137, 269, 901, 5280, 547, 11617, 1397, 1018, 1185, 1044, 5941, 563, 288, 1360, 13181, 1576, 2507, 13318, 1192, 832, 941, 1360, 18164, 543, 1500, 519, 5295, 4812, 15872, 1187, 269, 594, 2285, 596, 606, 834, 288, 257, 2336, 296, 17329, 519, 1249, 602, 519, 1362, 729, 5393, 1134, 6896, 269, 1284, 1705, 711, 3653, 942, 1247, 519, 14357, 23125, 856, 1018, 547, 798, 1985, 563, 296, 17329, 602, 1164, 9754, 4441, 941, 14593, 585, 7738, 630, 10472, 568, 1360, 1271, 1070, 855, 602, 519, 14357, 630, 294, 4958, 7770, 18722, 264, 1705, 711, 18149, 333, 1346, 945, 1223, 711, 2936, 1169, 2582, 25246, 269, 594, 917, 649, 666, 2936, 1034, 267, 855, 711, 1169, 2582, 3364, 693, 1250, 9872, 269, 901, 568, 6157, 519, 2013, 693, 15882, 4130, 982, 1250, 9872, 269, 594, 3494, 1169, 9754, 9441, 6499, 519, 1360, 1655, 585, 519, 9754, 13742, 267, 855, 3006, 12250, 7482, 2061, 2407, 6388, 269, 11048, 267, 1004, 1058, 917, 1655, 9754, 2853, 543, 11441, 547, 2743, 873, 607, 1454, 607, 2009, 563, 30606, 338, 11122, 1807, 717, 4958, 7770, 18722, 4121, 1200, 4739, 693, 519, 1977, 7467, 540, 7849, 3778, 267, 519, 28834, 781, 11094, 30551, 6997, 267, 519, 8225, 11094, 4659, 267, 5192, 1399, 11094, 6997, 267, 519, 11968, 13353, 6019, 7467, 540, 3203, 267, 543, 519, 16506, 8466, 5980, 269, 2701, 3964, 519, 5726, 8257, 693, 519, 3163, 7467, 540, 16506, 538, 476, 2735, 280, 269, 2701, 568, 519, 1071, 27236, 540, 589, 4591, 2065, 13979, 547, 7467, 28814, 5004, 267, 513, 2930, 6978, 2280, 585, 519, 1977, 5948, 585, 3557, 543, 10871, 3778, 543, 3964, 513, 11826, 7379, 300, 1982, 585, 519, 3163, 7467, 269, 2701, 729, 513, 1883, 4759, 538, 519, 4058, 2319, 602, 2966, 543, 3710, 513, 1007, 9744, 585, 519, 3163, 7467, 540, 16506, 269, 901, 20089, 8507, 538, 711, 1152, 513, 1533, 540, 519, 1148, 14266, 543, 4859, 9744, 267, 855, 849, 513, 2101, 8313, 827, 519, 1995, 540, 2679, 513, 1007, 9754, 543, 2870, 519, 2953, 5054, 281, 25021, 519, 13738, 269, 769, 476, 1220, 280, 1352, 7608, 519, 2990, 540, 11122, 1807, 543, 2212, 540, 519, 5726, 3296, 693, 519, 31257, 7467, 540, 7849, 3778, 538, 29016, 269, 15516, 269, 18722, 568, 513, 4759, 540, 519, 1977, 4659, 585, 11094, 543, 519, 5980, 585, 519, 27264, 540, 7849, 3778, 26888, 269, 2701, 15872, 543, 6799, 11925, 593, 15324, 5726, 267, 7379, 300, 267, 7738, 538, 15882, 267, 543, 4052, 2409, 543, 2326, 585, 4859, 540, 10070, 269, 0, 288, 1507, 2197, 827, 519, 2450, 540, 15930, 610, 28599, 267, 32678, 814, 513, 3982, 569, 4190, 267, 18932, 5251, 1178, 1027, 609, 26377, 267, 1507, 11396, 593, 12902, 15113, 1938, 267, 27726, 10239, 267, 12647, 267, 543, 22747, 563, 8601, 621, 1390, 2067, 5898, 267, 32678, 729, 519, 3135, 540, 835, 540, 4000, 779, 4102, 1024, 665, 1938, 538, 2487, 942, 269, 9737, 4989, 476, 278, 543, 4873, 476, 1704, 267, 476, 1960, 275, 267, 538, 519, 2230, 540, 1152, 476, 1911, 2395, 267, 670, 583, 639, 19856, 3042, 998, 519, 2197, 543, 1793, 4381, 1229, 606, 6059, 476, 8517, 267, 1822 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 779, 4683, 18992, 267, 595, 3559, 22855, 23392, 267, 17842, 2934, 2789, 18226, 3681, 267, 606, 2937, 1152, 7535, 1299, 535, 328, 512, 1145, 1858, 543, 7731, 8342, 18630, 1519, 25708, 17842, 779, 1152, 11255, 1216, 13472, 543, 17055, 536, 18365, 625, 256, 2913, 595, 3559, 22855, 1397, 596, 1018, 779, 8345, 538, 519, 2749, 267, 938, 11623, 616, 1175, 519, 4098, 563, 322, 3559, 572, 1807, 15193, 2593, 1315, 476, 272, 268, 8517, 4211, 4047, 299, 10345, 288, 630, 25838, 268, 6872, 274, 273, 264, 476, 3451, 15168, 337, 731, 9335, 4639, 269, 17842, 267, 10396, 631, 276, 294, 594, 313, 275, 454, 1432, 779, 2228, 10812, 6423, 307, 528, 15193, 3086, 2593, 585, 811, 9623, 267, 2200, 543, 3377, 596, 666, 946, 547, 1118, 519, 1034, 540, 707, 3643, 563, 341, 3245, 519, 1655, 8225, 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, 10481, 3073, 1014, 29879, 13474, 570, 2293, 257, 607, 851, 540, 834, 307, 30728, 1315, 5607, 1315, 25763, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 593, 8220, 632, 18586, 609, 25107, 6138, 267, 593, 875, 547, 798, 713, 267, 593, 741, 4485, 547, 14165, 267, 593, 519, 26117, 540, 930, 540, 1546, 28553, 781, 2093, 267, 540, 875, 5096, 1749, 517, 10607, 593, 14216, 5090, 320, 543, 654, 8636, 2102, 7322, 267, 593, 2372, 710, 5288, 5096, 1749, 517, 267, 593, 606, 1843, 542, 547, 2067, 1143, 267, 593, 1373, 513, 10178, 540, 6323, 267, 593, 16678, 3615, 267, 593, 4550, 31475, 7469, 9713, 22204, 538, 2372, 710, 543, 5096, 1749, 517, 267, 593, 1843, 687, 547, 4207, 5033, 24939, 267, 593, 918, 8692, 651, 543, 21042, 9713, 17779, 267, 593, 875, 5096, 1749, 517, 666, 581, 15095, 609, 918, 8692, 651, 543, 17127, 267, 593, 519, 7954, 540, 11129, 267, 543, 593, 2760, 23115, 856, 1018, 5339, 3069, 729, 3257, 269, 901, 835, 4422, 547, 519, 17909, 563, 274, 281, 4456, 281, 1432, 1500, 596, 1831, 513, 14544, 888, 21579, 24747, 518, 8633, 281, 296, 729, 513, 12200, 4819, 693, 513, 1507, 12666, 6575, 2852, 538, 11882, 267, 2713, 593, 13464, 585, 1454, 540, 1250, 6689, 269, 1703, 729, 513, 4832, 16222, 972, 267, 543, 594, 1085, 709, 978, 539, 513, 2816, 607, 17895, 268, 30236, 1575, 4819, 270, 1126, 17076, 269, 594, 19557, 547, 5717, 827, 2696, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 11682, 6579, 5308, 8008, 14176, 1315, 20603, 1315, 3525, 531, 20603, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 769, 513, 30152, 14925, 267, 2282, 519, 1656, 668, 20364, 1062, 267, 5030, 1079, 1655, 2828, 3957, 2098, 756, 2692, 543, 631, 2135, 773, 269, 1358, 941, 8049, 2370, 30659, 945, 6068, 3695, 519, 7122, 540, 7044, 3756, 269, 4256, 5172, 729, 1412, 30252, 12668, 281, 634, 1849, 821, 12668, 910, 28691, 629, 518, 13660, 1564, 8339, 2290, 1554, 789, 9289, 267, 834, 8005, 568, 519, 957, 816, 543, 6752, 14704, 602, 5795, 9739, 547, 938, 11537, 3197, 12482, 313, 756, 2692, 267, 1373, 519, 811, 23963, 20916, 3659, 267, 6700, 789, 7832, 593, 513, 1391, 547, 1265, 856, 256, 1924, 267, 1055, 789, 4682, 883, 2230, 267, 16144, 2509, 4541, 3047, 269, 4635, 1010, 9910, 5624, 1222, 781, 4359, 2029, 267, 2098, 756, 2692, 4951, 631, 2135, 773, 875, 1769, 536, 1742, 1813, 547, 8904, 607, 789, 5293, 676, 7372, 6801, 30867, 5863, 4159, 540, 18160, 781, 4937, 4039, 18356, 2439, 26796, 8757, 3047, 267, 789, 21503, 1439, 8393, 267, 1565, 827, 3381, 3014, 2504, 543, 5639, 16213, 269, 22582, 267, 789, 4362, 1945, 9058, 282, 519, 16805, 957, 816, 543, 6752, 14704, 789, 8179, 729, 9039, 824, 982, 12891, 2917, 661, 1188, 7322, 256, 2701, 1185, 18991, 17814, 13259, 338, 24499, 570, 8457, 2429, 1585, 10060, 12668, 2923, 269, 4173, 5876, 4769, 1405, 3247, 693, 8888, 10875, 9660, 282, 1352, 4547, 7772, 547, 9118, 7919, 2066, 15270, 998, 1200, 5639, 1740, 780, 30342, 12913, 267, 2098, 756, 2692, 543, 631, 2135, 773, 5423, 547, 2132, 1753, 950, 10393, 741, 6928, 29840, 539, 256, 898, 8604, 930, 12904, 3893, 18084, 1247, 4974, 5122, 11387, 1282, 741, 7634, 269, 1325, 553, 267, 1510, 1697, 2645, 610, 2200, 593, 1688, 267, 21338, 519, 6928, 1131, 1491, 3476, 982, 4397, 269, 1809, 3079, 540, 3443, 10107, 267, 789, 15422, 1018, 789, 4121, 827, 1966, 9010, 543, 8990, 689, 741, 7045, 269, 4935, 267, 5103, 6849, 6397, 2591, 267, 741, 7279, 7283, 5337, 1243, 543, 4712, 585, 2104, 29293, 780, 7437, 14488, 267, 789, 6956, 519, 2956, 540, 7041, 1354, 5887, 1005, 856, 883, 7164, 8513, 269, 6884, 649, 1810, 1405, 1205, 7525, 21368, 267, 2943, 1142, 4161, 3091, 3407, 4245, 910, 2436, 26500, 11580, 540, 9018, 2230, 610, 13215, 707, 1360, 1378, 8279, 629, 518, 546, 3241, 256, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 2108, 12585, 519, 1739, 2243, 281, 674, 2562, 3201, 12327, 4456, 476, 7726, 476, 272, 269, 10060, 12668, 281, 634, 1849, 821, 12668, 1107, 28691, 629, 518, 13660, 1564, 2934, 799, 957, 816, 543, 6752, 14704, 538, 513, 5639, 9117, 1909, 888, 12585, 912, 2414, 1265, 519, 2953, 2626, 267, 594, 991, 547, 1382, 519, 3381, 3014, 834, 30252, 12668, 281, 634, 1849, 821, 12668, 1107, 28691, 629, 518, 13660, 1564, 257, 547, 2697, 799, 957, 816, 543, 6752, 14704, 21350, 5367, 513, 1915, 538, 519, 3014, 269, 8528, 4131, 781, 2736, 519, 4305, 1524, 1384, 272, 269, 6733, 909, 1344, 827, 519, 3014, 834, 30252, 12668, 281, 634, 1849, 821, 12668, 1107, 28691, 629, 518, 13660, 1564, 4799, 273, 269, 10576, 799, 957, 816, 267, 945, 568, 849, 513, 6752, 14704, 267, 5526, 538, 519, 3014, 781, 5639, 5641, 780, 4131, 781, 2253, 891, 4247, 269, 8528, 734, 454, 5475, 10647, 513, 2620, 2228, 3406, 267, 10992, 3014, 17099, 543, 3444, 19295, 9535, 609, 12240, 585, 5639, 11051, 267, 594, 1336, 602, 957, 816, 543, 6752, 14704, 267, 12891, 2917, 661, 1188, 7322, 267, 21350, 5367, 513, 1915, 538, 713, 10060, 12668, 3381, 3014, 269, 8528, 2026, 327, 2917, 661, 1188, 7322, 568, 1634, 711, 1152, 585, 1200, 9117, 4876, 267, 1141, 1352, 5639, 19500, 519, 1915, 13259, 338, 24499, 570, 8457, 538, 713, 10060, 12668, 3014, 543, 824, 1644, 7641, 3126, 267, 855, 849, 585, 646, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 3848, 476, 279, 281, 29325, 4370, 543, 5685, 5109, 910, 17006, 7822, 543, 10466, 547, 2659, 2274, 1430, 18768, 692, 5970, 596, 2479, 9289, 875, 16463, 5370, 1205, 741, 7524, 4778, 286, 2107, 1946, 930, 16463, 338, 616, 2571, 1247, 1866, 723, 513, 19756, 1745, 286, 4270, 267, 602, 781, 782, 7064, 547, 10085, 4370, 543, 18138, 2553, 256, 1452, 3157, 1039, 2681, 543, 4027, 547, 707, 16463, 3785, 267, 1818, 873, 1413, 1390, 543, 2063, 3476, 269, 2913, 781, 4685, 883, 891, 4241, 4739, 1983, 2439, 1262, 4089, 476, 272, 281, 27759, 2659, 2274, 1430, 4373, 6524, 7311, 1022, 24470, 610, 26088, 267, 621, 781, 1898, 547, 5965, 707, 16463, 7157, 269, 901, 1184, 3322, 7738, 543, 2554, 516, 2084, 519, 1570, 547, 2327, 1256, 10338, 540, 519, 2472, 269, 1411, 666, 946, 2241, 7622, 3688, 899, 521, 18150, 12853, 610, 8670, 28052, 550, 6404, 609, 1216, 547, 2973, 1055, 13897, 543, 11041, 269, 30850, 267, 1577, 519, 16463, 3819, 4625, 1354, 3001, 593, 547, 519, 1985, 1900, 780, 1262, 4089, 476, 273, 281, 16792, 667, 6614, 4373, 3086, 2501, 519, 1187, 851, 1107, 4946, 2681, 547, 707, 1788, 256, 1703, 616, 1585, 2010, 540, 16463, 24470, 2139, 267, 971, 607, 4568, 2861, 267, 1216, 2861, 267, 543, 6891, 2861, 269, 3962, 814, 922, 5383, 543, 11393, 267, 865, 3442, 835, 1759, 593, 707, 7375, 543, 519, 1826, 540, 16463, 596, 2811, 2324, 609, 269, 11408, 3314, 547, 1449, 519, 20004, 593, 513, 1507, 6456, 1858, 1101, 547, 2327, 17356, 780, 2414, 4019, 519, 20004, 267, 596, 666, 946, 1114, 2645, 899, 29008, 525, 267, 26814, 267, 610, 12308, 338, 269, 5269, 2386, 547, 3382, 519, 3003, 2627, 14961, 543, 1628, 909, 6106, 952, 2877, 269, 14190, 1142, 4494, 547, 3819, 8499, 1354, 4946, 1776, 835, 269, 4793, 1466, 568, 1883, 1934, 1317, 678, 5241, 998, 713, 3942, 949, 1267, 538, 19514, 2681, 3892, 780, 1262, 4089, 476, 274, 281, 1530, 2718, 543, 27986, 2659, 4518, 4373, 5629, 596, 4312, 6913, 707, 5551, 2681, 267, 621, 781, 942, 547, 2149, 707, 20100, 256, 5685, 5109, 8069, 1711, 513, 11064, 1063, 519, 16463, 543, 5007, 2609, 267, 7303, 5957, 543, 15237, 936, 942, 269, 2368, 1455, 9096, 3681, 1331, 1035, 787, 331, 923, 267, 14589, 525, 267, 543, 759, 1231, 269, 5381, 547, 24470, 267, 789, 2097, 538, 1585, 3029, 267, 1519, 838, 7590, 267, 2250, 525, 267, 543, 15559, 780, 28274, 513, 13021, 656, 5205, 513, 2147, 4806, 607, 20004, 3498, 269, 2422, 3617, 2645, 630, 7945, 607, 17371, 26814, 264, 543, 960, 18928, 2066, 519, 3003, 4062, 269, 5213, 1405, 7340, 8728, 543, 1212, 341, 1182, 256, 13038, 6094, 25151, 2356, 6556, 1732, 2164, 982, 835, 5394, 10359, 269, 5457, 547, 1450, 1697, 27955, 2053, 1063, 3156, 780, 1262, 4089, 476, 275, 281, 8342, 12700, 6168, 2274, 1430, 11529, 4373, 12441, 596, 917, 602, 1004, 723, 1044, 1210, 16463, 585, 5215, 540, 1296, 286, 3245, 7802, 543, 31321, 547, 11149, 543, 16560, 13742, 267, 16463, 814, 5129, 513, 1713, 1909, 538, 1480, 1686, 269, 1635, 1565, 827, 10085, 4370, 543, 18138, 2553, 267, 596, 2811, 11173, 513, 3638, 2245, 5293, 1524, 998, 5481, 780, 11101, 267, 1620, 891, 2409, 10741, 9885, 547, 3875, 3860, 7399, 269, 5994, 8888, 2688, 530, 24548, 267, 26797, 267, 11435, 267, 610, 1256, 13544, 1115, 256, 2060, 2259, 267, 9639, 267, 543, 6612, 267, 972, 781, 1100, 3970, 547, 1018, 596, 666, 1711, 780, 1103, 5758, 267, 8600, 267, 12955, 267, 543, 27575, 16463, 8591, 1272, 543, 15325, 547, 707, 3785, 269, 22737, 713, 3504, 4739, 267, 4603, 609, 4778, 543, 26088, 267, 543, 25793, 1662, 707, 6418, 7376, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 14483, 1239, 6119, 454, 19425, 1882, 1239, 13847, 454, 28049, 1893, 2200, 454, 292, 6470, 1224, 1543, 454, 7069, 8921, 8844, 454, 7069, 8921, 8844, 585, 27851, 454, 300, 328, 2398, 6759, 343, 24982, 17131, 334, 454, 302, 265, 25892, 8943, 4045, 528, 454, 22512, 518, 16709, 13088, 454, 11847, 2176, 1299, 26671, 454, 302, 265, 25892, 1325, 569, 5171, 454, 22897, 10341, 1299, 13088, 5955, 454, 297, 984, 8193, 6351, 454, 302, 265, 25892, 5358, 7044, 454, 16158, 7896, 3755, 454, 302, 265, 25892, 538, 11059, 454, 302, 265, 25892, 5455, 30098, 1129, 5346, 454, 29791, 547, 2974, 454, 7069, 8921, 8844, 454, 300, 328, 2398, 6759, 343, 24982, 17131, 334, 454, 7069, 8921, 8844, 585, 27851, 454, 302, 265, 25892, 5680, 7896, 454, 10574, 14635, 5358, 454, 308, 2529, 269, 4972, 540, 8534, 454, 8450, 811, 281, 20431, 566, 12525, 16860, 454, 302, 265, 25892, 4149, 8016, 476, 1001, 280, 23909, 454, 19859, 7809, 9185, 22369, 454, 302, 265, 25892, 4149, 8016, 476, 1001, 280, 8943, 454, 302, 265, 25892, 4149, 8016, 476, 1001, 280, 7170, 454, 29991, 543, 25666, 4507, 543, 1683, 2949, 4287, 540, 3549, 610, 4357, 543, 1857, 5823, 3906, 1369, 4808, 1305, 909, 676, 513, 4604, 540, 19971, 610, 2147, 12044, 1560, 269, 4643, 267, 1463, 267, 610, 11282, 10512, 2238, 693, 519, 5207, 1377, 540, 2359, 609, 519, 948, 540, 29884, 26933, 543, 5234, 9946, 563, 2419, 3971, 20885, 12079, 619, 454, 10870, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 291, 344, 4370, 543, 5685, 5109, 257, 607, 851, 540, 834, 290, 32323, 4811, 1299, 670, 15477, 10292, 2464, 1315, 2274, 1430, 1740, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7464, 3465, 775, 540, 4906, 2441, 269, 1280, 23597, 2523, 267, 789, 5963, 3494, 602, 1282, 7136, 267, 3694, 543, 9174, 1831, 519, 4890, 10610, 543, 10552, 540, 2441, 12544, 14985, 1572, 1098, 889, 560, 656, 2747, 269, 30850, 267, 519, 13394, 3603, 3984, 630, 1492, 6967, 3694, 264, 568, 5116, 538, 513, 4190, 8708, 1572, 513, 1395, 1598, 766, 865, 602, 1004, 666, 2097, 543, 740, 648, 4906, 538, 713, 1106, 780, 3849, 1681, 4906, 3414, 27302, 1656, 14506, 454, 14343, 14945, 7628, 661, 1276, 541, 2065, 1520, 2610, 267, 596, 1522, 1294, 1004, 9054, 9934, 267, 7555, 267, 610, 9361, 23900, 1247, 3168, 2390, 519, 645, 1652, 539, 15762, 26963, 269, 2368, 949, 1224, 23075, 15102, 16965, 267, 973, 924, 19001, 267, 610, 3274, 1199, 10028, 3623, 1836, 269, 8535, 1419, 4249, 28663, 538, 519, 4282, 269, 4658, 2356, 7390, 661, 1276, 541, 2065, 1520, 2610, 14350, 267, 1498, 3006, 2516, 979, 1927, 1932, 269, 10705, 972, 616, 16516, 3108, 585, 661, 1276, 541, 2065, 1520, 2610, 1169, 1554, 282, 1866, 15395, 1808, 2053, 899, 3689, 2605, 12156, 630, 14140, 11016, 540, 1142, 3923, 6393, 3963, 1684, 10271, 12160, 622, 769, 661, 1276, 541, 2065, 1520, 2610, 888, 24801, 19030, 2690, 1082, 10271, 267, 7836, 942, 1354, 519, 645, 1652, 539, 15762, 26963, 3091, 4313, 267, 4708, 267, 7067, 267, 5583, 267, 4222, 267, 543, 6667, 269, 1358, 1745, 6251, 547, 2696, 543, 811, 7184, 4448, 609, 741, 5132, 2146, 269, 3958, 267, 2094, 4906, 1128, 21114, 519, 661, 1276, 30658, 693, 519, 7831, 2672, 3899, 630, 821, 2063, 7594, 3838, 609, 2828, 1070, 10283, 538, 661, 1276, 541, 2065, 1520, 2610, 2636, 10271, 547, 8956, 3571, 15093, 543, 3314, 13924, 23816, 569, 780, 4131, 781, 1234, 5115, 2483, 1366, 19567, 265, 8567, 3459, 607, 513, 1507, 1895, 538, 3504, 5840, 3366, 676, 4906, 563, 265, 11534, 3789, 543, 20655, 7142, 10271, 547, 2743, 31205, 2394, 789, 1223, 3715, 2933, 16175, 563, 265, 2290, 971, 11018, 5828, 883, 6101, 1242, 12738, 267, 1519, 661, 1276, 541, 2065, 1520, 2610, 563, 265, 661, 1276, 541, 2065, 1520, 2610, 3322, 9602, 8086, 543, 11755, 1354, 519, 645, 1652, 539, 15762, 26963, 563, 265, 3509, 10271, 1265, 24176, 267, 19015, 267, 543, 5289, 2208, 1282, 741, 942, 6170, 538, 661, 1276, 541, 2065, 1520, 2610, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8110, 15582, 543, 12004, 10455, 3256, 941, 3844, 547, 519, 1995, 540, 519, 2038, 10271, 563, 15900, 3131, 15582, 540, 8567, 454, 763, 16961, 32267, 542, 540, 2441, 729, 1472, 519, 1032, 476, 1789, 5084, 267, 543, 519, 4984, 540, 8567, 3459, 607, 513, 1507, 3190, 1014, 545, 3350, 1369, 21157, 267, 855, 621, 3533, 3262, 856, 2066, 519, 4936, 7276, 563, 2005, 1131, 581, 2182, 547, 21467, 560, 1493, 519, 2956, 540, 20655, 538, 519, 1650, 540, 8567, 269, 634, 7613, 540, 12004, 10455, 3256, 568, 4909, 547, 519, 2038, 4168, 1995, 543, 14820, 269, 898, 729, 1483, 1107, 711, 606, 608, 12000, 3130, 267, 607, 930, 5640, 723, 10645, 563, 24938, 10455, 568, 513, 5259, 2262, 602, 1797, 968, 342, 5893, 1848, 6742, 10455, 3256, 568, 10423, 538, 519, 1433, 540, 20450, 267, 799, 28420, 519, 12004, 10455, 3256, 540, 15537, 267, 519, 1101, 630, 528, 968, 2889, 1729, 14615, 12004, 10455, 269, 15537, 779, 12004, 10455, 3256, 267, 543, 782, 12004, 10455, 3256, 267, 568, 6766, 676, 519, 1249, 602, 789, 10847, 2576, 945, 729, 16961, 1881, 676, 519, 14564, 269, 4906, 2441, 5128, 1305, 519, 30675, 540, 12955, 585, 519, 5132, 563, 763, 12004, 10455, 3256, 540, 15537, 568, 606, 9565, 2203, 593, 519, 2856, 602, 267, 693, 519, 4090, 540, 2669, 267, 519, 12103, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 292, 1276, 541, 2065, 1520, 2610, 257, 607, 851, 540, 834, 32628, 1315, 4168, 681, 3770, 338, 1299, 6657, 1315, 654, 11208, 1299, 22175, 21395, 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, 1262, 6637, 476, 1724, 281, 10435, 14559, 6732, 910, 1323, 4985, 547, 10500, 559, 5573, 16373, 4373, 5970, 596, 2479, 4862, 827, 1004, 1818, 2724, 2228, 286, 9320, 707, 4587, 24107, 610, 3237, 917, 2576, 945, 1281, 621, 267, 610, 6148, 596, 4718, 1945, 827, 621, 593, 7641, 610, 519, 4950, 269, 21894, 519, 2013, 949, 581, 267, 621, 781, 3020, 256, 1703, 616, 6634, 540, 1004, 1472, 519, 1158, 945, 7118, 741, 2713, 998, 2228, 4213, 269, 2290, 2442, 1259, 547, 798, 713, 568, 998, 24988, 6725, 780, 3383, 1018, 4010, 568, 24988, 6725, 286, 4270, 267, 4952, 596, 1378, 513, 21097, 1796, 269, 1411, 6133, 8949, 19471, 21097, 547, 707, 12543, 267, 2828, 267, 543, 4896, 8429, 676, 269, 1809, 3006, 267, 950, 1870, 568, 3500, 267, 596, 6999, 811, 1004, 6785, 827, 707, 15813, 21097, 269, 2334, 781, 1141, 28930, 919, 2097, 538, 269, 1358, 948, 3262, 519, 2262, 827, 707, 21097, 1796, 547, 824, 1004, 267, 543, 952, 1346, 1004, 1439, 909, 9140, 707, 21097, 267, 596, 2671, 930, 540, 707, 12434, 609, 873, 607, 513, 9684, 596, 269, 901, 568, 519, 2596, 2856, 3297, 24988, 6725, 1107, 5009, 2472, 610, 2533, 2813, 676, 1866, 1247, 15980, 513, 10243, 585, 1142, 9042, 1500, 998, 707, 2189, 29748, 3095, 780, 2080, 781, 1946, 24988, 6725, 666, 581, 606, 5140, 4316, 585, 1647, 30595, 899, 596, 1384, 265, 2878, 20181, 1376, 5346, 3790, 5093, 9521, 2757, 1753, 2861, 4213, 971, 607, 9513, 19323, 5370, 610, 29586, 13492, 267, 4358, 606, 24988, 6725, 1870, 2356, 3085, 1405, 2154, 1454, 3355, 5092, 269, 2353, 596, 991, 568, 513, 2780, 610, 16335, 609, 606, 4950, 4276, 267, 543, 596, 2811, 1434, 547, 979, 2336, 265, 2878, 13480, 689, 9170, 5093, 4595, 3388, 4523, 2228, 267, 596, 666, 960, 593, 707, 24988, 6725, 3785, 8164, 543, 16382, 596, 1616, 269, 3143, 991, 547, 3251, 23132, 539, 909, 693, 1753, 282, 1745, 1863, 547, 3142, 707, 15291, 547, 513, 6995, 6300, 267, 5399, 267, 610, 1256, 513, 6288, 14541, 2336, 265, 2878, 17484, 1652, 7399, 5093, 634, 5898, 540, 24988, 6725, 6013, 538, 922, 17545, 269, 6787, 596, 2811, 13730, 827, 3381, 3756, 267, 2835, 267, 6752, 267, 610, 8516, 267, 972, 786, 2141, 581, 4143, 2472, 543, 2533, 2139, 585, 13319, 269, 9578, 267, 1007, 3091, 1402, 909, 3232, 267, 4180, 4195, 3255, 547, 2263, 780, 3086, 1577, 781, 1413, 693, 513, 1483, 3734, 1383, 547, 1732, 1174, 875, 24988, 6725, 1568, 1384, 22428, 596, 2648, 4730, 5985, 3756, 543, 1419, 2995, 707, 15032, 827, 519, 5767, 13847, 269, 22628, 606, 4316, 267, 596, 6430, 547, 1129, 909, 585, 606, 24988, 1982, 6035, 676, 10794, 313, 8759, 267, 513, 2754, 21751, 538, 11080, 17960, 543, 25584, 269, 2991, 1373, 7608, 883, 519, 1982, 267, 10794, 313, 8759, 2488, 596, 609, 513, 2189, 29748, 3009, 630, 2280, 781, 2161, 621, 781, 717, 28719, 297, 290, 23669, 264, 547, 3950, 6455, 6383, 998, 707, 3260, 687, 780, 9202, 267, 596, 1711, 513, 5816, 2022, 17265, 707, 5172, 3014, 543, 8732, 1302, 2446, 875, 1390, 10794, 313, 8759, 781, 12616, 12123, 14950, 1131, 9148, 5716, 262, 11080, 1305, 5725, 269, 10738, 519, 2022, 267, 596, 7696, 707, 29748, 3009, 607, 513, 5409, 15062, 28068, 3988, 547, 10794, 313, 8759, 781, 3896, 269, 19196, 1243, 676, 707, 16252, 267, 1896, 540, 707, 15032, 4945, 519, 3095, 543, 6718, 519, 12123, 21181, 269, 1306, 16219, 267, 10794, 313, 8759, 12587, 596, 609, 513, 6871, 540, 1142, 9042, 1107, 2161, 267, 476, 276, 260, 1107, 4946, 3063, 6666, 547, 707, 17927, 2439, 8170, 1576, 267, 1967, 2984, 1810, 1405, 1175, 4755, 16074, 269, 8490, 513, 19311, 24988, 6725, 1870, 3217, 9639, 267, 11428, 267, 543, 7580, 4058, 269, 1677, 1205, 3323, 267, 2015, 891, 4388, 1384, 272, 269, 7994, 513, 13395, 596, 22992, 2972, 543, 616, 18164, 827, 269, 32425, 4422, 513, 1279, 1259, 538, 2870, 8903, 1543, 602, 24889, 609, 1761, 5561, 563, 273, 269, 3194, 1585, 24988, 3292, 1369, 707, 6074, 13395, 543, 5635, 741, 2474, 267, 862, 3827, 267, 23739, 546, 15342, 267, 3092, 1421, 547, 1265, 519, 1655, 3514, 585, 596, 563, 274, 269, 8073, 1164, 7779, 1543, 602, 8591, 1871, 585, 707, 5304, 269, 10312, 593, 3246, 5363, 1344, 2864, 982, 3274, 11319, 2472, 610, 2533, 563, 275, 269, 32754, 5683, 2853, 2429, 707, 11044, 269, 11408, 30035, 707, 30901, 609, 12478, 543, 2760, 3765, 548, 611, 610, 13587, 633, 707, 13794, 563, 276, 269, 13773, 10770, 543, 1832, 1565, 256, 21988, 2344, 619, 16111, 13599, 2933, 593, 2872, 3466, 267, 3060, 609, 9905, 267, 543, 4603, 609, 1114, 2994, 2394, 789, 1265, 1018, 1568, 1655, 780, 1103, 3932, 267, 24988, 6725, 6799, 513, 1187, 543, 14785, 1259, 585, 1647, 30595, 899, 596, 547, 16702, 707, 19462, 883, 519, 5318, 5836, 540, 2228, 20835, 269, 1635, 1739, 938, 4808, 543, 9363, 6131, 547, 707, 3853, 267, 649, 4126, 602, 4166, 2614, 267, 596, 1932, 786, 28231, 519, 2640, 540, 4687, 707, 18653, 609, 519, 1158, 543, 3478, 9104, 730, 585, 3257, 865, 269, 8414, 6725, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 293, 710, 1259, 540, 7713, 267, 543, 3728, 573, 1190, 2376, 547, 1491, 5013, 3823, 1250, 6881, 1888, 267, 799, 1775, 993, 454, 4707, 547, 5838, 538, 1153, 269, 5351, 20410, 9627, 454, 2005, 781, 2469, 547, 581, 10678, 540, 9553, 1554, 267, 4849, 1354, 9096, 594, 993, 2542, 454, 10472, 9735, 4062, 540, 1603, 547, 2087, 1250, 1702, 563, 18484, 622, 585, 20410, 9627, 454, 15916, 3025, 1250, 2012, 568, 6276, 18412, 1775, 993, 689, 772, 14389, 1775, 6557, 4758, 513, 21981, 593, 875, 594, 8678, 519, 7629, 6058, 10620, 7015, 3125, 267, 594, 729, 3843, 547, 6443, 713, 3919, 585, 865, 1082, 1296, 1631, 267, 594, 729, 1085, 25428, 676, 16995, 8665, 538, 5045, 4000, 543, 267, 594, 729, 1524, 1775, 1223, 711, 3049, 1250, 1582, 543, 1250, 1920, 15042, 543, 594, 6836, 547, 1118, 2724, 676, 782, 1797, 855, 782, 538, 642, 664, 267, 594, 729, 12922, 547, 3346, 1022, 7629, 6058, 10620, 8665, 1317, 789, 723, 3548, 1250, 2724, 267, 835, 1554, 594, 3357, 2066, 513, 2022, 540, 2576, 4758, 513, 21981, 982, 6362, 513, 812, 1572, 3627, 5261, 585, 4543, 1864, 547, 6443, 519, 7629, 6058, 10620, 7015, 3125, 267, 1287, 594, 6743, 693, 519, 812, 779, 4757, 543, 519, 6049, 1297, 602, 729, 2854, 972, 267, 594, 729, 12922, 547, 3346, 1864, 1317, 1775, 729, 1085, 25428, 513, 2603, 540, 942, 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, 5851, 15369, 24371, 1315, 10500, 559, 5573, 16373, 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, 19731, 13734, 543, 11038, 5004, 538, 15215, 281, 589, 10312, 593, 8567, 543, 623, 12298, 1143, 692, 1103, 4207, 2486, 267, 2883, 2359, 543, 19642, 1404, 1713, 5107, 538, 1312, 1367, 2729, 543, 10721, 4238, 269, 901, 3184, 786, 5490, 883, 891, 2565, 2127, 676, 3695, 741, 4276, 547, 4984, 267, 4481, 8567, 543, 922, 2078, 547, 623, 12298, 1143, 269, 1635, 6313, 7097, 1116, 13210, 267, 3140, 8658, 267, 4052, 3156, 267, 543, 2413, 2591, 267, 713, 4901, 6663, 547, 1683, 513, 4514, 1620, 540, 875, 5132, 2950, 666, 3927, 4383, 2200, 1247, 16180, 741, 5692, 543, 5075, 780, 296, 269, 14644 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 18439, 337, 6021, 692, 296, 4312, 2141, 1044, 13730, 827, 3695, 13395, 4690, 1107, 835, 540, 873, 1373, 7088, 31743, 269, 12389, 538, 4993, 814, 922, 2640, 2094, 649, 12212, 1205, 930, 21173, 4365, 3270, 12902, 538, 689, 519, 7414, 7909, 269, 2290, 6640, 267, 594, 530, 5803, 909, 2038, 547, 29677, 513, 10053, 20893, 4871, 10567, 547, 5734, 519, 23795, 2282, 1250, 1753, 269, 9741, 1705, 594, 917, 602, 713, 9583, 20027, 2067, 7613, 1131, 2490, 1250, 3232, 862, 1393, 883, 606, 20605, 7045, 4904, 609, 17409, 267, 2673, 7125, 267, 543, 22406, 9810, 780, 7069, 1286, 729, 16041, 609, 782, 519, 30304, 585, 13830, 10875, 22089, 281, 12514, 267, 14485, 267, 7552, 16104, 267, 9075, 267, 543, 1256, 16152, 630, 20357, 945, 6487, 875, 1279, 594, 9364, 581, 12758, 538, 713, 20893, 286, 1040, 1306, 594, 22755, 2509, 519, 9381, 19814, 267, 519, 5134, 8057, 23198, 543, 16437, 518, 267, 28277, 1472, 803, 899, 513, 14927, 24120, 269, 6250, 2225, 12628, 20427, 282, 621, 5433, 607, 952, 594, 941, 17158, 539, 538, 10412, 17711, 267, 855, 1510, 519, 6653, 6492, 780, 2026, 594, 4797, 2059, 519, 23090, 9897, 267, 1250, 2295, 986, 1027, 1169, 942, 1776, 6174, 7902, 856, 540, 24076, 267, 6071, 3952, 2476, 269, 3733, 1164, 20832, 25139, 6263, 20256, 17735, 538, 4571, 1515, 267, 2870, 606, 552, 24809, 6429, 24188, 540, 513, 16897, 7260, 269, 2311, 602, 4090, 267, 594, 7691, 1175, 875, 5906, 20893, 1223, 581, 950, 5665, 513, 5179, 6174, 780, 4517, 1287, 3357, 519, 6397, 4729, 6335, 13718, 306, 19488, 267, 9624, 519, 3043, 705, 903, 338, 267, 594, 4718, 1945, 5963, 29737, 1107, 19421, 540, 1004, 21039, 538, 2407, 1085, 18866, 10591, 267, 7555, 7258, 519, 4155, 256, 898, 3576, 803, 513, 2034, 547, 1184, 1018, 594, 729, 7487, 267, 855, 4166, 2614, 267, 20185, 546, 1177, 2740, 2390, 803, 281, 789, 1590, 723, 9709, 513, 1895, 4685, 693, 513, 7404, 11824, 267, 1152, 547, 1265, 2933, 1266, 5285, 539, 676, 519, 6727, 20893, 4871, 269, 4256, 3070, 286, 27016, 585, 519, 20893, 547, 2312, 1247, 11981, 14254, 593, 519, 2427, 540, 519, 4155, 780, 8450, 532, 1346, 4129, 16064, 539, 856, 538, 683, 641, 16867, 17015, 267, 13968, 267, 543, 13688, 1500, 803, 14902, 865, 2182, 602, 594, 3592, 29709, 827, 519, 30217, 748, 5397, 6619, 269, 1809, 1310, 27300, 1159, 3796, 543, 6329, 267, 594, 20399, 593, 1189, 267, 5462, 547, 7001, 519, 3501, 8929, 540, 519, 20893, 6879, 709, 4765, 5251, 780, 9961, 1250, 3460, 267, 594, 11402, 1896, 811, 2516, 540, 18843, 539, 4129, 267, 1142, 835, 4946, 547, 519, 21494, 640, 540, 519, 3510, 269, 16828, 267, 594, 6603, 1250, 10278, 543, 9676, 18198, 2592, 540, 519, 20893, 10145, 7566, 519, 30917, 543, 5836, 2630, 780, 8269, 22162, 593, 713, 1995, 267, 594, 6591, 513, 4514, 7071, 585, 1312, 2470, 781, 5898, 543, 922, 1761, 10898, 269, 2334, 1554, 18056, 803, 2760, 547, 30391, 519, 1379, 540, 20893, 950, 3297, 519, 8868, 269, 5047, 267, 5103, 519, 28842, 1466, 3361, 547, 519, 4129, 267, 972, 729, 513, 2178, 2631, 540, 23274, 10838, 873, 267, 1818, 1769, 540, 519, 3510, 543, 7432, 621, 883, 606, 791, 668, 696, 340, 11018, 269, 901, 18674, 1250, 3661, 602, 2950, 1106, 538, 519, 1034, 12691, 4025, 267, 8087, 676, 3838, 2833, 543, 8994, 2463, 780, 3383, 1985, 942, 596, 3068, 20893, 4445, 2175, 267, 2436, 596, 2811, 6117, 610, 7722, 538, 1022, 2534, 267, 3314, 547, 3251, 21713, 267, 22537, 267, 543, 1930, 547, 4466, 7772, 538, 1272, 781, 2370, 26208, 269, 2991, 782, 267, 3006, 890, 320, 17339, 20893, 5012, 547, 9058, 13341, 256, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 2108, 293, 690, 568, 4646, 676, 1216, 11517, 7873, 14819, 538, 519, 2011, 267, 543, 20893, 1879, 6117, 267, 20893, 568, 606, 21677, 610, 513, 12042, 8896, 602, 2306, 1919, 21372, 269, 9717, 891, 5013, 267, 1018, 666, 581, 1216, 11517, 7873, 14819, 538, 2011, 581, 513, 12042, 8896, 547, 1851, 519, 1739, 3681, 281, 910, 4189, 476, 910, 6117, 476, 910, 6668, 476, 910, 4764, 476, 910, 3350, 476, 910, 8105, 476, 910, 6472, 476, 910, 5986, 454, 288, 912, 16449, 519, 2016, 3681, 267, 1216, 11517, 7873, 14819, 538, 519, 2011, 267, 3056, 547, 20893, 267, 666, 3335, 581, 513, 12042, 8896, 547, 6117, 267, 3350, 267, 8105, 267, 543, 6472, 780, 272, 269, 32010, 281, 674, 690, 13514, 513, 1713, 8594, 1247, 6117, 267, 607, 621, 16094, 6971, 15287, 585, 10256, 269, 18648, 15287, 666, 1291, 547, 14887, 5114, 2053, 543, 606, 2799, 10171, 540, 21611, 269, 667, 31034, 991, 547, 581, 5393, 18762, 1282, 20893, 4445, 2175, 267, 1210, 741, 20893, 8279, 543, 1970, 15515, 600, 2212, 7547, 547, 2087, 15287, 267, 1247, 849, 13302, 741, 3432, 547, 2226, 513, 2922, 3845, 689, 824, 6472, 269, 18171, 1841, 593, 519, 4155, 949, 849, 581, 9875, 547, 13498, 267, 2417, 2810, 519, 1981, 540, 10913, 780, 273, 269, 8844, 332, 10640, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 1684, 711, 1376, 609, 5220, 899, 476, 834, 5629, 2390, 513, 942, 257, 607, 713, 568, 513, 14703, 2022, 543, 711, 513, 3209, 267, 596, 1058, 849, 2057, 4358, 609, 5929, 5220, 899, 834, 288, 1906, 1296, 3516, 257, 610, 834, 288, 1906, 1296, 1394, 2580, 581, 3860, 269, 0, 4495, 2390, 513, 942, 267, 538, 513, 2244, 2484, 2476, 267, 972, 729, 513, 9589, 1153, 1572, 2233, 24728, 9142, 269, 901, 1153, 1185, 1053, 689, 782, 936, 519, 1158, 945, 3357, 547, 1451, 827, 2257, 543, 9059, 256, 1809, 1256, 1498, 621, 729, 513, 9589, 1747, 267, 519, 1053, 1869, 2877, 547, 1745, 2922, 543, 5150, 865, 789, 1223, 1445, 593, 741, 2090, 780, 32459, 7625, 29216, 24711, 6785, 875, 1271, 621, 729, 585, 1200, 1053, 547, 1745, 2922, 267, 865, 1352, 1500, 2386, 602, 519, 30028, 1185, 1283, 27677, 577, 13464, 3354, 269, 1703, 941, 2141, 7874, 22651, 1273, 13764, 519, 31508, 267, 1818, 2386, 3025, 729, 2922, 269, 1358, 849, 1185, 2027, 19269, 899, 834, 20776, 557, 11462, 1975, 12742, 257, 602, 1223, 1294, 543, 5873, 3388, 267, 543, 834, 28770, 11765, 1744, 3658, 257, 602, 1131, 2149, 4896, 538, 8594, 780, 3080, 1554, 267, 1945, 9490, 5949, 269, 2368, 540, 519, 24028, 11462, 1975, 12742, 4682, 7508, 267, 543, 519, 17073, 1744, 3658, 11074, 2324, 256, 25867, 29216, 24711, 729, 14126, 267, 855, 1352, 4769, 1405, 1616, 547, 29057, 519, 1053, 269, 1924, 267, 1352, 4280, 1079, 15931, 1053, 3957, 7665, 543, 15039, 547, 8495, 780, 16655, 543, 15039, 941, 8049, 543, 12703, 269, 1358, 3323, 6998, 2055, 543, 3168, 585, 10881, 269, 2755, 6158, 547, 835, 540, 519, 22651, 267, 789, 4121, 827, 5201, 1107, 519, 1648, 602, 2306, 19269, 960, 256, 634, 9856, 6045, 602, 2576, 1590, 723, 512, 2086, 1229, 609, 519, 3354, 1062, 267, 4929, 621, 547, 29840, 269, 2060, 713, 1007, 1702, 267, 7665, 543, 15039, 1305, 856, 547, 1265, 519, 27521, 780, 5445, 4166, 4362, 602, 513, 3765, 2151, 31773, 13442, 3957, 717, 8145, 4802, 1185, 3361, 519, 14784, 256, 717, 8145, 4802, 6068, 4730, 929, 3471, 267, 855, 646, 4769, 1405, 8275, 875, 1010, 3527, 4299, 1866, 269, 1879, 7665, 543, 15039, 6045, 519, 2956, 540, 3354, 543, 519, 1523, 540, 1412, 14490, 262, 910, 519, 4960, 540, 1945, 3983, 8345, 910, 717, 8145, 4802, 5433, 20994, 585, 1018, 646, 1705, 269, 1261, 16219, 2760, 547, 1199, 323, 548, 609, 519, 3354, 1062, 1586, 780, 4913, 267, 711, 782, 2042, 3893, 17251, 269, 4634, 1498, 717, 8145, 4802, 23294, 1242, 267, 519, 3354, 3937, 729, 1869, 7745, 269, 898, 1131, 1491, 930, 942, 547, 4368, 621, 269, 769, 519, 29291, 267, 519, 1053, 1185, 547, 7048, 593, 1142, 824, 543, 519, 6967, 22651, 585, 4027, 269, 9282, 513, 2370, 18901, 267, 3025, 6956, 519, 3510, 1732, 1631, 269, 5020, 3884, 1405, 3501, 267, 3006, 938, 20038, 3111, 721, 267, 855, 649, 666, 1451, 689, 1346, 8090, 267, 1332, 6793, 1927, 267, 543, 1832, 3001, 4464, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 22081, 1281, 13464, 3354, 1764, 1053, 262, 4743, 540, 3106, 543, 3354, 888, 296, 1810, 1405, 723, 2123, 2833, 610, 4664, 269, 2705, 267, 538, 2489, 267, 13464, 3354, 666, 3648, 1764, 1053, 262, 4606, 540, 3106, 543, 3354, 269, 950, 513, 13464, 814, 513, 1134, 2389, 11712, 543, 7298, 3354, 4527, 267, 1053, 616, 811, 2693, 547, 1745, 2922, 543, 5150, 1247, 11504, 5049, 267, 10283, 538, 29599, 2238, 267, 610, 3274, 6972, 1472, 13464, 269, 10123, 267, 2500, 3354, 3800, 267, 971, 607, 13178, 12514, 543, 6595, 1289, 10833, 267, 666, 948, 1053, 1745, 811, 5150, 543, 6870, 538, 519, 2680, 540, 606, 6595, 610, 1761, 3463, 269, 593, 519, 824, 1688, 267, 950, 13464, 3354, 568, 16283, 610, 896, 560, 3530, 539, 267, 1053, 949, 1745, 7925, 543, 31536, 633, 827, 741, 3106, 267, 3056, 547, 2539, 2875, 27907, 543, 11874, 18363, 741, 2949, 2852, 1995, 14325, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]