JingzeShi/decay_dataset_processed · Datasets at Hugging Face

input_ids sequencelengths 1 2.05k	attention_mask sequencelengths 1 2.05k
[ 2750, 4624, 476, 271, 267, 271, 547, 711, 581, 3330, 1899, 4840, 825, 7682, 630, 2254, 561, 275, 18994, 318, 1231, 728, 263, 273, 267, 476, 279, 24270, 834, 2750, 4624, 476, 273, 267, 279, 547, 711, 581, 3330, 1899, 5016, 825, 1948, 2638, 17781, 454, 825, 524, 272, 815, 17781, 263, 272, 267, 476, 272, 267, 476, 276, 994, 825, 7682, 630, 322, 272, 10947, 318, 31709, 3890, 2652, 476, 276, 1070, 834, 2750, 4624, 476, 276, 855, 3893, 834, 1341, 1193, 6262, 272, 10947, 318, 31709, 15405, 825, 7682, 630, 322, 272, 10947, 30648, 9014, 3890, 2652, 630, 273, 265, 4118, 32564, 265, 276, 24270, 834, 2750, 4624, 476, 1015, 265, 7032, 855, 3893, 834, 1341, 1193, 6262, 272, 10947, 30648, 9014, 15405, 825, 7682, 630, 322, 272, 10947, 318, 19327, 3890, 2652, 630, 4118, 32564, 265, 1839, 24270, 834, 2750, 4624, 476, 1839, 265, 7032, 855, 3893, 834, 1341, 1193, 6262, 272, 10947, 318, 19327, 15405, 825, 7682, 630, 322, 272, 18994, 318, 1231, 728, 263, 273, 267, 476, 273, 24270, 834, 2750, 4624, 476, 273, 267, 273, 547, 581, 3330, 5858, 4840, 825, 7682, 630, 2254, 524, 272, 18994, 318, 1231, 728, 263, 278, 267, 476, 273, 24270, 834, 2750, 4624, 476, 278, 267, 273, 547, 711, 581, 3330, 5858, 4840, 825, 7682, 630, 2254, 524, 272, 18994, 318, 1231, 728, 263, 274, 267, 476, 736, 24270, 834, 2750, 4624, 476, 274, 267, 736, 547, 711, 581, 3330, 5858, 5016, 825, 1948, 2638, 13551, 454, 825, 678, 272, 815, 25351, 4120, 8987, 1015, 267, 476, 736, 267, 476, 1911, 267, 476, 1911, 994, 825, 7682, 630, 337, 272, 10947, 13448, 3890, 2652, 910, 1015, 1070, 834, 2750, 4624, 910, 1015, 855, 3893, 834, 1341, 1193, 16868, 272, 10947, 13448, 15405, 825, 7682, 630, 337, 272, 10947, 14729, 3890, 2652, 476, 736, 1070, 834, 2750, 4624, 476, 736, 855, 3893, 834, 1341, 1193, 16868, 272, 10947, 14729, 15405, 825, 7682, 630, 337, 272, 10947, 30648, 9014, 3890, 2652, 476, 6110, 1070, 834, 2750, 4624, 476, 6110, 855, 3893, 834, 1341, 1193, 16868, 272, 10947, 30648, 9014, 15405, 825, 7682, 630, 337, 272, 10947, 318, 19327, 3890, 2652, 476, 1015, 318, 1822, 1070, 834, 2750, 4624, 476, 1015, 267, 1822, 855, 3893, 834, 1341, 1193, 16868, 272, 10947, 318, 19327, 15405, 825, 7682, 630, 337, 272, 18994, 318, 1231, 728, 263, 2004, 267, 476, 2568, 24270, 834, 2750, 4624, 476, 2004, 267, 476, 2568, 547, 581, 3330, 13551, 4840, 825, 7682, 630, 2254, 678, 272, 18994, 318, 1231, 728, 263, 2412, 267, 476, 271, 24270, 834, 2750, 4624, 476, 2412, 267, 476, 271, 547, 711, 581, 3330, 13551, 5016, 454, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1292, 4590, 0, 3698, 1183, 9109, 263, 6919, 8029, 825, 24008, 815, 1412, 9590, 292, 5495, 262, 1477, 825, 795, 4548, 815, 338, 9285, 263, 6919, 5157, 281, 329, 316, 585, 1775, 267, 1535, 538, 26246, 263, 6919, 264, 585, 795, 538, 2039, 9217, 1341, 476, 272, 267, 7003, 263, 6919, 264, 1341, 476, 272, 264, 952, 1535, 538, 24008, 3418, 825, 1820, 27203, 4548, 3418, 825, 2132, 7003, 27203, 4548, 3418, 3698, 588, 22115, 263, 6919, 8029, 825, 24008, 815, 1412, 9590, 292, 5495, 262, 1477, 825, 795, 4548, 815, 338, 9285, 263, 6919, 5157, 281, 329, 316, 585, 1775, 267, 1535, 538, 26246, 263, 6919, 264, 585, 795, 538, 2039, 9217, 1341, 476, 272, 267, 7003, 263, 6919, 264, 1341, 476, 272, 264, 952, 1535, 711, 538, 24008, 3418, 825, 1820, 27203, 4548, 3418, 825, 2132, 12759, 27203, 4548, 264, 10142, 3698, 1292, 263, 28128, 8029, 825, 952, 588, 22115, 263, 28128, 264, 3436, 1183, 9109, 630, 28128, 8029, 1038, 2132, 1412, 560, 22115, 2367, 836, 262, 1477, 825, 8640, 588, 22115, 263, 28128, 264, 2652, 1183, 9109, 630, 28128, 8029, 1038, 2132, 1412, 338, 29800, 262, 1477, 825, 3116, 6769, 1038, 2132, 1412, 651, 9109, 2367, 836, 262, 5897, 2745, 9852, 664, 3488, 291, 5058, 291, 5058, 291, 2177, 31270, 5058, 307, 3201, 298, 262, 4297, 0, 12528, 18045, 284, 271, 454, 4818, 18045, 284, 271, 454, 5228, 4351, 1104, 2608, 692, 3698, 735, 10031, 14851, 1566, 2525, 272, 912, 453, 16596, 9497, 7723, 5602, 453, 19197, 1566, 2525, 273, 912, 453, 16596, 9497, 17549, 5602, 453, 19197, 1566, 2525, 274, 912, 453, 16596, 9497, 2675, 1170, 528, 5602, 3698, 6149, 10031, 453, 29514, 3593, 18045, 454, 453, 29514, 735, 18045, 454, 14851, 1566, 2525, 272, 912, 453, 16596, 27719, 333, 4910, 738, 2433, 14275, 2433, 347, 4840, 453, 19197, 1566, 2525, 273, 912, 453, 453, 4818, 18045, 23785, 272, 454, 453, 16596, 27719, 333, 4910, 738, 2433, 596, 6336, 2433, 2891, 454, 453, 19197, 1566, 2525, 274, 912, 453, 453, 12528, 18045, 23785, 272, 454, 453, 16596, 27719, 333, 4910, 738, 2433, 596, 3094, 6902, 264, 4840, 3698, 1957, 10031, 453, 29514, 3593, 18045, 454, 453, 29514, 735, 18045, 454, 14851, 1566, 2525, 272, 912, 453, 453, 12528, 18045, 23785, 272, 454, 453, 16596, 27719, 333, 4910, 738, 2433, 596, 3094, 6902, 264, 4840, 453, 19197, 1566, 2525, 273, 912, 453, 16596, 27719, 333, 4910, 738, 2433, 14275, 2433, 347, 4840, 453, 19197, 1566, 2525, 274, 912, 453, 453, 4818, 18045, 23785, 272, 454, 453, 16596, 27719, 333, 4910, 738, 2433, 596, 6336, 2433, 2891, 454, 3698, 1085, 1170, 528, 10031, 453, 29514, 3593, 18045, 454, 453, 29514, 735, 18045, 454, 14851, 1566, 2525, 272, 912, 453, 453, 4818, 18045, 23785, 272, 454, 453, 16596, 27719, 333, 4910, 738, 2433, 596, 6336, 2433, 2891, 454, 453, 19197, 1566, 2525, 273, 912, 453, 453, 12528, 18045, 23785, 272, 454, 453, 16596, 27719, 333, 4910, 738, 2433, 596, 3094, 6902, 264, 4840, 453, 19197, 1566, 2525, 274, 912, 453, 16596, 27719, 333, 4910, 738, 2433, 14275, 2433, 347, 4840, 6112, 6936, 912, 453, 641, 14352, 8681, 842, 263, 272, 267, 274, 4917, 453, 12528, 284, 6358, 2891, 476, 1411, 567, 2433, 19515, 13537, 2891, 20663, 281, 14307, 754, 284, 3269, 994, 13537, 263, 4818, 15405, 14851, 3593, 2525, 257, 7723, 13426, 453, 13537, 263, 7723, 15405, 453, 19197, 3593, 2525, 257, 17549, 13426, 453, 13537, 9638, 1653, 15405, 453, 19197, 3593, 2525, 257, 2675, 1170, 528, 13426, 453, 13537, 263, 2675, 1170, 528, 28829, 28768, 13537, 19629, 333, 7312, 18745, 2433, 15079, 2668, 8971, 263, 12528, 18045, 1070, 754, 6889, 19515, 13537, 19629, 339, 20663, 18745, 2433, 15079, 1422, 333, 14826, 2668, 8971, 263, 4818, 18045, 4917, 14851, 3593, 18045, 2525, 1015, 610, 735, 18045, 2525, 1015, 912, 453, 14851, 3593, 18045, 2525, 1015, 912, 4848, 13537, 2891, 23558, 593, 707, 11802, 32405, 4848, 453, 19874, 454, 453, 28432, 912, 4848, 13537, 2891, 28989, 585, 596, 2530, 32405, 4848, 453, 19874, 19638, 4848, 692, 0, 343, 17342, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 267, 279, 267, 280, 267, 1015, 267, 1556, 2639, 344, 17342, 2639, 992, 25507, 9272, 2891, 11767, 1100, 269, 1993, 9343, 281, 27328, 3712, 25507, 9272, 2891, 11767, 1100, 269, 540, 897, 338, 281, 27328, 1721, 1775, 538, 2039, 263, 271, 267, 992, 2187, 453, 344, 6910, 8443, 7481, 1721, 1775, 538, 2039, 263, 271, 267, 992, 2187, 22610, 795, 538, 2039, 263, 271, 267, 3712, 2187, 453, 453, 344, 5157, 4940, 6572, 27203, 2020, 1721, 1775, 538, 2039, 263, 271, 267, 992, 2187, 22610, 795, 538, 2039, 263, 271, 267, 3712, 2187, 453, 453, 344, 5157, 6012, 329, 24557, 842, 9272, 15405, 2745, 12169, 2020, 343, 17342, 2639, 1721, 1775, 538, 2039, 263, 271, 267, 992, 2187, 453, 343, 6910, 8443, 7481, 1721, 1775, 538, 2039, 263, 271, 267, 992, 2187, 22610, 795, 538, 2039, 263, 271, 267, 3712, 2187, 453, 453, 343, 5157, 4940, 6572, 27203, 994, 1721, 1775, 538, 2039, 263, 271, 267, 992, 2187, 22610, 795, 538, 2039, 263, 271, 267, 3712, 2187, 453, 453, 343, 5157, 6012, 329, 24557, 344, 5157, 6012, 329, 27994, 272, 454, 2745, 3287, 2020, 345, 17342, 2639, 1721, 1775, 538, 2039, 263, 271, 267, 992, 2187, 453, 345, 6910, 8443, 7481, 1721, 1775, 538, 2039, 263, 271, 267, 992, 2187, 22610, 795, 538, 2039, 263, 271, 267, 3712, 2187, 453, 453, 345, 5157, 4940, 6572, 27203, 994, 1721, 1775, 538, 2039, 263, 271, 267, 992, 2567, 4848, 454, 22610, 795, 538, 2039, 263, 271, 267, 3712, 2187, 453, 453, 345, 5157, 6012, 329, 24557, 343, 5157, 6012, 329, 27994, 272, 454, 2745, 18750, 2020, 28768, 320, 284, 272, 454, 321, 284, 272, 454, 322, 284, 272, 28768, 1721, 1775, 538, 2039, 263, 271, 267, 992, 2187, 22610, 795, 538, 2039, 263, 271, 267, 3712, 2187, 453, 14851, 1775, 2525, 329, 912, 4848, 453, 320, 30381, 265, 344, 5157, 6012, 329, 2639, 4848, 453, 321, 284, 321, 20080, 5157, 6012, 329, 2639, 4848, 453, 322, 284, 322, 265, 345, 5157, 6012, 329, 2639, 15235, 454, 2745, 2891, 24001, 1341, 15079, 1341, 15079, 815, 834, 269, 8971, 5416, 14720, 22698, 1070, 320, 17070, 25239, 994, 0, 992, 25507, 9272, 2891, 11767, 519, 9343, 281, 27328, 1721, 1775, 538, 2039, 263, 272, 267, 992, 266, 272, 2187, 14851, 1775, 2525, 272, 912, 453, 22610, 795, 538, 2039, 263, 272, 267, 273, 2187, 4848, 13537, 2891, 265, 5602, 28432, 912, 453, 22610, 795, 538, 2039, 263, 272, 267, 992, 266, 272, 25829, 2187, 4848, 13537, 263, 754, 6889, 19515, 453, 22610, 795, 538, 2039, 263, 272, 267, 328, 2187, 4848, 13537, 2891, 265, 2580, 754, 284, 3269, 994, 453, 22610, 795, 538, 2039, 263, 272, 267, 328, 2187, 4848, 13537, 2891, 265, 2580, 754, 284, 3269, 994, 13537, 3890, 0, 3698, 1292, 10031, 476, 1820, 2891, 1607, 1982, 568, 786, 960, 899, 513, 18185, 5602, 476, 721, 323, 815, 859, 531, 9272, 2891, 8923, 4283, 519, 2179, 538, 20430, 281, 1269, 27363, 476, 538, 337, 815, 721, 323, 2608, 476, 10602, 454, 476, 1820, 2891, 763, 9411, 2179, 538, 20430, 1269, 2580, 639, 323, 2437, 883, 5442, 305, 568, 14307, 514, 337, 2020, 10852, 4590, 0, 3698, 1292, 10031, 476, 1820, 2891, 1607, 1982, 568, 4855, 519, 32671, 2165, 540, 25828, 10022, 5602, 476, 1003, 815, 703, 9272, 2891, 8923, 4283, 519, 2165, 540, 25828, 281, 27363, 476, 1820, 2891, 763, 1871, 693, 2580, 11133, 2437, 6570, 568, 2580, 325, 756, 16325, 11723, 3698, 4017, 16325, 2187, 476, 952, 1003, 27045, 271, 912, 825, 1820, 2891, 18823, 8091, 18452, 5602, 476, 8640, 1003, 2652, 476, 272, 10778, 825, 2132, 476, 272, 454, 476, 8640, 1003, 2652, 476, 273, 10778, 825, 2132, 476, 272, 454, 476, 3116, 10778, 825, 2132, 4017, 263, 1003, 268, 272, 3738, 1341, 4017, 16325, 268, 273, 2020, 10852, 4590, 0, 5814, 2979, 454, 3698, 1292, 10031, 476, 1820, 2891, 1607, 1982, 568, 1031, 547, 4137, 856, 519, 4266, 540, 14914, 5602, 476, 1032, 815, 859, 531, 9272, 2891, 8923, 4283, 606, 1032, 281, 27363, 476, 524, 815, 1032, 12262, 476, 1911, 454, 476, 3134, 716, 284, 630, 279, 1341, 630, 290, 12262, 476, 275, 264, 910, 595, 1341, 16733, 3199, 266, 1724, 264, 12262, 476, 1839, 264, 1341, 476, 1556, 263, 1032, 4939, 476, 866, 4297, 4939, 476, 1789, 454, 476, 1820, 2891, 19368, 540, 3134, 716, 568, 14307, 3134, 716, 2020, 10852, 4590, 0, 3698, 3529, 294, 9512, 263, 2017, 3891, 697, 267, 1293, 267, 5595, 2187, 825, 952, 1293, 2652, 476, 271, 912, 1038, 2132, 1225, 3891, 697, 454, 825, 952, 5595, 2652, 6936, 912, 1038, 2132, 3529, 294, 9512, 263, 273, 265, 2017, 3891, 697, 267, 1293, 910, 476, 272, 267, 8771, 994, 825, 3116, 912, 1038, 2132, 3529, 294, 9512, 263, 2017, 3891, 697, 1341, 476, 272, 267, 1293, 910, 476, 272, 267, 6936, 994, 13872, 13872, 322, 1162, 815, 703, 9272, 31156, 1721, 2013, 538, 2039, 263, 271, 22698, 1162, 2187, 825, 1293, 815, 703, 9272, 15405, 825, 1820, 6025, 872, 294, 9512, 263, 272, 267, 1293, 267, 6936, 4297 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2237, 513, 9226, 1982, 547, 1265, 519, 27353, 540, 513, 1297, 1210, 3252, 1477, 3698, 27353, 16325, 8029, 825, 1249, 815, 476, 272, 1477, 825, 585, 1775, 538, 2039, 263, 272, 267, 1003, 266, 272, 8029, 1038, 1249, 815, 1249, 265, 328, 1477, 825, 2132, 1249, 1477, 15893, 25507, 9272, 2891, 11767, 1022, 1297, 547, 1265, 27353, 281, 834, 17903, 14310, 815, 27353, 28840, 3418, 2745, 2891, 763, 27353, 540, 4939, 323, 815, 4939, 323, 257, 260, 630, 15893, 267, 1267, 4297, 0, 322, 739, 815, 10581, 9272, 2891, 27087, 7640, 539, 281, 834, 4297, 265, 1911, 454, 20135, 318, 23915, 815, 476, 271, 454, 20135, 318, 23915, 6834, 703, 6262, 739, 270, 1839, 994, 322, 739, 815, 1942, 260, 1839, 454, 20135, 318, 23915, 6834, 703, 6262, 739, 270, 1015, 994, 322, 739, 815, 1942, 260, 1015, 454, 20135, 318, 23915, 6834, 703, 6262, 739, 270, 276, 994, 322, 739, 815, 1942, 260, 276, 454, 20135, 318, 23915, 6834, 703, 6262, 739, 270, 272, 994, 322, 739, 815, 1942, 260, 272, 454, 2745, 6025, 4973, 318, 23915, 264, 0, 5814, 1119, 704, 454, 5228, 17511, 1104, 8838, 1308, 454, 3698, 1292, 28442, 281, 1598, 267, 2063, 4067, 281, 1598, 284, 1399, 704, 269, 26855, 2163, 3488, 30670, 2085, 281, 18893, 1308, 27776, 24557, 1399, 704, 20166, 1632, 263, 24222, 335, 668, 696, 8782, 1692, 2025, 616, 596, 3299, 21533, 7272, 668, 696, 18989, 1070, 476, 6101, 281, 321, 944, 25716, 2187, 453, 12163, 453, 306, 599, 28624, 547, 715, 28719, 267, 26840, 958, 609, 513, 4534, 18431, 4067, 563, 453, 2252, 4534, 845, 531, 568, 1031, 269, 519, 28551, 568, 1360, 6101, 454, 453, 12163, 14851, 6101, 912, 453, 453, 332, 20687, 815, 1412, 14187, 4303, 7055, 453, 453, 2056, 815, 1399, 704, 269, 5882, 6600, 262, 346, 4067, 348, 2715, 18431, 4067, 20467, 1411, 723, 2715, 720, 348, 1296, 2025, 3299, 535, 326, 284, 1399, 704, 31815, 832, 14371, 3918, 2894, 267, 12050, 18989, 994, 28432, 912, 453, 453, 332, 20687, 815, 1412, 6343, 338, 909, 562, 580, 8615, 7055, 453, 453, 2056, 815, 1119, 704, 269, 5882, 6600, 257, 346, 4067, 348, 2715, 18431, 4067, 20467, 1411, 723, 2715, 720, 348, 1296, 2025, 2580, 535, 326, 284, 1399, 704, 31815, 832, 15030, 295, 25492, 267, 536, 326, 284, 1399, 704, 31815, 832, 10611, 3633, 994, 453, 15200, 815, 1119, 704, 269, 5882, 3488, 930, 1007, 2934, 3299, 1025, 1074, 18989, 267, 896, 1467, 18989, 2020, 453, 1399, 704, 269, 3663, 334, 9852, 20687, 1341, 10678, 1341, 7132, 2020, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 453, 1399, 704, 269, 14725, 9852, 664, 994, 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 7042, 454, 5035, 623, 4526, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1239, 267, 2985, 15481, 2187, 1038, 1582, 21606, 815, 1239, 476, 1948, 17276, 478, 375, 12255, 29004, 362, 454, 1038, 1582, 269, 2457, 15481, 815, 2985, 15481, 476, 1948, 13127, 491, 499, 421, 350, 369, 27962, 16533, 493, 454, 1038, 1582, 18994, 318, 11034, 815, 8771, 454, 1038, 1582, 18994, 318, 754, 815, 8771, 454, 1038, 1582, 21606, 18045, 815, 7003, 16597, 994, 1038, 1582, 12785, 318, 2457, 815, 476, 271, 476, 1948, 476, 31284, 13601, 421, 350, 369, 454, 1038, 1582, 269, 2181, 2365, 318, 2457, 815, 476, 271, 476, 1948, 476, 31968, 13601, 421, 350, 369, 454, 1038, 1582, 269, 2457, 19571, 815, 1582, 21606, 18045, 1315, 2985, 15481, 476, 1948, 17276, 478, 375, 421, 350, 369, 12255, 454, 1038, 952, 1582, 269, 2457, 19571, 2652, 703, 4311, 269, 2457, 19571, 2187, 2018, 1582, 269, 2457, 19571, 815, 703, 4311, 269, 2457, 19571, 994, 1038, 3116, 912, 2018, 1582, 269, 2457, 19571, 815, 703, 4311, 269, 2457, 19571, 264, 1341, 476, 272, 692, 825, 1219, 2985, 12774, 4311, 267, 2985, 2187, 1038, 8173, 1038, 29635, 492, 371, 9463, 500, 13601, 421, 350, 369, 7511, 12255, 29004, 362, 454, 1038, 2433, 12407, 2985, 281, 476, 28884, 13213, 498, 18713, 508, 12255, 29004, 362, 7511, 421, 350, 369, 419, 510, 479, 454, 1038, 2433, 8873, 281, 13127, 28187, 31563, 421, 350, 369, 419, 510, 479, 420, 370, 483, 13213, 485, 26233, 375, 421, 350, 369, 419, 510, 479, 8147, 13213, 498, 18713, 508, 419, 358, 374, 28578, 23989, 8147, 12571, 355, 10254, 503, 13213, 498, 18713, 508, 13601, 421, 350, 369, 7511, 12255, 29004, 362, 454, 1038, 8173, 1038, 952, 2985, 3436, 1582, 269, 2457, 19571, 912, 2018, 2132, 11713, 1038, 1582, 12785, 318, 2457, 815, 2985, 1341, 476, 272, 454, 1038, 1582, 269, 2181, 2365, 318, 2457, 815, 2985, 910, 476, 272, 454, 1038, 952, 2985, 2652, 476, 272, 912, 2018, 1582, 18994, 318, 11034, 815, 6936, 454, 1038, 8640, 2985, 2652, 1582, 269, 2457, 19571, 912, 2018, 1582, 18994, 318, 754, 815, 6936, 454, 1038, 952, 1582, 18994, 318, 754, 912, 2018, 2132, 1582, 21606, 27007, 2457, 910, 476, 272, 264, 2608, 1582, 269, 2457, 15481, 281, 2639, 1038, 3116, 912, 2018, 2132, 1582, 21606, 27007, 2457, 910, 476, 272, 264, 2608, 1582, 269, 2457, 15481, 281, 2457, 2608, 1582, 269, 2457, 15481, 6540, 692, 0, 5814, 21267, 28272, 607, 12301, 454, 5814, 11885, 607, 5286, 454, 5814, 21795, 607, 19073, 454, 5814, 4351, 454, 5228, 28189, 269, 583, 2812, 1104, 695, 28984, 454, 5228, 28189, 1104, 14449, 267, 5276, 31200, 454, 5228, 28189, 269, 5471, 7879, 1104, 1611, 5334, 32464, 318, 19587, 267, 678, 273, 23962, 692, 327, 17639, 815, 695, 28984, 9638, 323, 18667, 32269, 2891, 327, 17639, 27406, 8442, 2020, 258, 8307, 513, 4183, 630, 20135, 318, 7741, 994, 343, 815, 19073, 6185, 1092, 20988, 22607, 17639, 9131, 20135, 318, 7741, 11172, 2020, 258, 4635, 513, 2603, 540, 2934, 630, 314, 20135, 318, 7741, 267, 8027, 318, 4364, 1014, 318, 720, 267, 2698, 318, 5523, 7741, 267, 2551, 267, 10820, 267, 11667, 18425, 2492, 7481, 258, 1535, 815, 19073, 6185, 1092, 20988, 22607, 17639, 267, 9587, 284, 9131, 327, 17639, 318, 4364, 1014, 318, 720, 3299, 1412, 20135, 318, 7741, 3299, 1412, 28134, 3299, 1412, 5264, 9302, 3299, 1412, 4364, 1014, 18425, 2492, 11172, 2020, 258, 25779, 630, 4364, 1014, 318, 5264, 19056, 994, 344, 815, 19073, 6185, 1092, 20988, 22607, 17639, 9131, 4364, 1014, 318, 5264, 19056, 11172, 2020, 327, 17639, 13448, 17601, 815, 1535, 11468, 268, 736, 2639, 327, 17639, 13448, 15305, 815, 1535, 15631, 736, 281, 6540, 327, 17639, 14729, 17601, 815, 586, 11468, 268, 736, 2639, 327, 17639, 14729, 15305, 815, 586, 15631, 736, 281, 6540, 258, 8073, 606, 3236, 540, 5276, 2203, 454, 15035, 318, 7116, 531, 815, 5276, 31200, 11482, 710, 541, 8802, 1833, 10797, 258, 21541, 543, 3514, 519, 2203, 454, 15035, 318, 7116, 531, 32265, 22607, 17639, 13448, 17601, 267, 8027, 14729, 17601, 2020, 258, 6744, 519, 476, 11236, 454, 327, 17639, 14729, 28177, 815, 5276, 318, 7116, 531, 4877, 9438, 22607, 17639, 13448, 15305, 9239, 2745, 3488, 290, 4141, 13266, 281, 1422, 333, 3299, 5276, 318, 7116, 531, 16691, 1030, 318, 2020, 2745, 2891, 13614, 16302, 5470, 281, 4939, 269, 273, 325, 4840, 8587, 4939, 1611, 5334, 32464, 318, 19587, 22607, 17639, 14729, 15305, 267, 8027, 14729, 28177, 11723, 2745, 3488, 24868, 766, 6060, 281, 4939, 269, 273, 325, 262, 4939, 678, 273, 23962, 22607, 17639, 14729, 15305, 267, 8027, 14729, 28177, 11723, 258, 1948, 18140, 17016, 454, 258, 12301, 31892, 2660, 22607, 17639, 13448, 15305, 267, 8027, 14729, 15305, 267, 476, 2681, 8782, 18872, 5073, 258, 12301, 19502, 22607, 17639, 13448, 15305, 267, 8027, 14729, 28177, 267, 2681, 8782, 19990, 3299, 1899, 12296, 284, 274, 2020, 258, 12301, 269, 868, 6506, 263, 15405, 258, 12301, 269, 12682, 6506, 263, 31156, 258, 12301, 20481, 3890, 0, 5228, 10070, 1104, 632, 4302, 692, 3698, 536, 12028, 14116, 1429, 267, 3355, 11966, 267, 568, 318, 2998, 531, 2187, 476, 20313, 815, 632, 4302, 4590, 476, 10272, 815, 1305, 4590, 476, 20313, 6910, 9230, 30976, 11966, 267, 1496, 28413, 476, 10272, 14491, 263, 30976, 11966, 994, 476, 1247, 263, 28255, 2187, 825, 6843, 267, 2619, 815, 20313, 4877, 963, 1111, 4590, 825, 952, 568, 318, 2998, 531, 27316, 2187, 8587, 2132, 6843, 267, 2619, 454, 825, 6843, 318, 539, 2471, 815, 3113, 19559, 1712, 2639, 825, 585, 6316, 9078, 8475, 267, 3077, 17045, 538, 6843, 318, 539, 2471, 29096, 10031, 8587, 952, 3077, 17045, 711, 538, 10272, 912, 1038, 10272, 14491, 6025, 13759, 17045, 994, 1038, 20313, 6910, 9230, 339, 13759, 17045, 267, 2619, 1341, 1496, 8354, 9078, 8475, 28413, 476, 2132, 7183, 454, 0, 16766, 288, 284, 14277, 288, 2006, 14824, 305, 1690, 14824, 288, 628, 541, 9366, 14824, 305, 1276, 328, 31116, 16766, 289, 284, 14277, 288, 2006, 14824, 21946, 18223, 14824, 3849, 640, 320, 14824, 288, 344, 2313, 14824, 288, 628, 541, 9366, 31116, 16766, 290, 284, 14277, 305, 1690, 14824, 305, 1276, 328, 14824, 309, 539, 656, 14824, 288, 628, 541, 9366, 257, 6540, 6352, 320, 284, 6352, 14116, 4981, 288, 994, 6352, 321, 284, 6352, 14116, 4981, 289, 2020, 2745, 2891, 8266, 540, 1053, 945, 2901, 1404, 25319, 610, 3983, 332, 842, 542, 855, 711, 1312, 15419, 14310, 290, 8042, 17342, 30092, 4148, 698, 284, 271, 3248, 1721, 1775, 538, 2039, 12759, 320, 2187, 476, 585, 795, 538, 2039, 12759, 321, 2187, 825, 952, 14116, 4981, 288, 5157, 316, 2525, 16766, 289, 14728, 316, 2187, 8587, 9206, 284, 272, 3248, 476, 952, 630, 4148, 698, 2525, 271, 2187, 825, 1267, 290, 8042, 6910, 14116, 4981, 288, 5157, 7481, 476, 9206, 284, 271, 282, 7531, 1721, 1775, 538, 2039, 12759, 321, 2187, 476, 585, 795, 538, 2039, 12759, 320, 17107, 825, 952, 14116, 4981, 289, 5157, 316, 2525, 16766, 288, 14728, 316, 2187, 8587, 9206, 284, 272, 3248, 476, 952, 630, 4148, 698, 2525, 271, 2187, 825, 1267, 290, 8042, 6910, 14116, 4981, 289, 5157, 8079, 3248, 476, 9206, 284, 271, 16963, 2745, 31114, 290, 8042, 264, 0, 1598, 284, 6358, 2891, 11767, 519, 5569, 281, 5602, 11357, 284, 6358, 2891, 11767, 519, 1016, 5569, 281, 5602, 329, 284, 271, 7531, 1721, 1775, 538, 2039, 12759, 19304, 15892, 825, 952, 19304, 5157, 316, 2525, 11357, 14728, 316, 2187, 1038, 795, 284, 329, 266, 272, 454, 1038, 952, 795, 2525, 6352, 4433, 889, 2187, 16875, 4994, 284, 328, 24179, 6352, 4433, 889, 9984, 272, 994, 16875, 2736, 3248, 825, 3116, 912, 1038, 795, 284, 271, 454, 2745, 263, 8161, 264, 0, 5814, 21795, 607, 19073, 454, 5814, 11885, 607, 5286, 692, 3698, 840, 15263, 5334, 574, 921, 6025, 20995, 27133, 267, 10505, 318, 4900, 16229, 2187, 825, 5727, 7093, 15263, 519, 1239, 585, 16861, 2203, 2679, 780, 825, 901, 5932, 513, 2866, 1305, 1141, 1142, 4737, 568, 513, 942, 3126, 540, 513, 454, 825, 1808, 12550, 11296, 13525, 585, 513, 1808, 2197, 269, 634, 2387, 311, 319, 3349, 454, 825, 2882, 519, 942, 3126, 689, 476, 3192, 273, 547, 476, 1220, 277, 267, 543, 519, 1412, 312, 262, 3349, 2882, 454, 825, 519, 942, 3126, 2418, 585, 476, 1220, 278, 269, 31932, 2418, 616, 27573, 607, 10878, 28213, 780, 825, 2473, 543, 962, 1152, 1331, 9343, 585, 799, 649, 991, 547, 1118, 22347, 3827, 585, 519, 454, 825, 6735, 269, 8892, 23200, 786, 1331, 811, 9343, 547, 946, 607, 454, 825, 2934, 780, 825, 16849, 912, 11434, 2473, 630, 335, 323, 6185, 1092, 20988, 2567, 2934, 585, 12605, 454, 11434, 962, 630, 335, 323, 2529, 7685, 2567, 9072, 585, 12605, 454, 825, 29185, 825, 1948, 8564, 9343, 585, 12605, 1152, 454, 825, 2473, 815, 2866, 27133, 7456, 665, 314, 11357, 2466, 318, 4900, 16229, 6540, 825, 1948, 8564, 543, 556, 4067, 9587, 454, 825, 2473, 815, 2473, 269, 559, 665, 18020, 32473, 274, 2639, 825, 2473, 815, 2473, 269, 1066, 877, 10857, 10033, 1535, 281, 703, 3287, 21858, 3488, 1412, 25011, 271, 25818, 7852, 284, 272, 2020, 825, 1948, 590, 5902, 12605, 543, 3077, 454, 825, 962, 815, 2473, 269, 559, 665, 18020, 910, 272, 316, 476, 1948, 476, 1220, 278, 454, 825, 2473, 815, 2473, 269, 559, 665, 18020, 32473, 272, 316, 476, 1948, 476, 3192, 273, 281, 1220, 277, 692, 825, 2132, 2473, 267, 962, 692, 3698, 840, 15263, 318, 1721, 24449, 714, 6025, 20995, 27133, 267, 10505, 318, 4900, 16229, 2187, 825, 5727, 7093, 15263, 519, 1239, 585, 14839, 780, 825, 8564, 338, 9343, 585, 12605, 543, 556, 12849, 9587, 563, 825, 29185 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7116, 346, 275, 301, 266, 272, 6525, 269, 3973, 3230, 344, 14352, 337, 333, 315, 10975, 272, 8358, 273, 2330, 543, 2655, 23082, 883, 30967, 272, 14638, 3947, 3230, 333, 343, 317, 273, 24179, 333, 268, 272, 7565, 337, 333, 315, 10975, 272, 8203, 273, 284, 272, 315, 574, 18680, 1535, 317, 273, 284, 337, 317, 273, 333, 317, 273, 24179, 337, 317, 273, 315, 5404, 273, 337, 264, 333, 315, 5404, 273, 337, 266, 272, 269, 2330, 2913, 3230, 343, 284, 337, 333, 8584, 2330, 865, 3230, 333, 7807, 2765, 21151, 317, 273, 315, 10975, 273, 337, 268, 272, 2410, 273, 571, 8573, 317, 273, 315, 10975, 273, 337, 18098, 2765, 272, 346, 275, 337, 317, 273, 4153, 3847, 263, 273, 571, 266, 337, 317, 273, 315, 5404, 273, 337, 10954, 2765, 346, 337, 317, 273, 16868, 315, 10975, 275, 20972, 273, 320, 8573, 315, 10975, 273, 4153, 2431, 14638, 799, 6971, 547, 3230, 273, 3867, 330, 266, 274, 13157, 332, 266, 273, 337, 10954, 2765, 346, 337, 16868, 315, 10975, 275, 14587, 332, 2330, 2094, 3230, 337, 333, 315, 10975, 272, 284, 273, 344, 2330, 543, 3230, 344, 284, 273, 317, 330, 29634, 30860, 602, 713, 19862, 568, 3833, 2147, 547, 707, 5973, 1890, 3948, 269, 634, 8545, 568, 6508, 689, 519, 1062, 3230, 338, 343, 284, 1399, 284, 275, 317, 330, 268, 272, 2330, 543, 3230, 343, 20742, 284, 273, 3867, 330, 266, 272, 6525, 267, 799, 538, 2490, 568, 6697, 547, 6061, 3230, 560, 284, 322, 263, 275, 317, 330, 268, 272, 14638, 543, 3230, 338, 266, 339, 284, 322, 24206, 273, 3867, 330, 266, 272, 6525, 269, 769, 519, 19862, 1657, 267, 649, 616, 3168, 585, 9981, 3230, 338, 25722, 2330, 971, 602, 3230, 560, 284, 337, 16868, 315, 10975, 275, 14638, 543, 3230, 338, 266, 339, 284, 273, 317, 298, 268, 273, 337, 29634, 1892, 1684, 596, 1611, 1269, 312, 284, 273, 344, 259, 286, 8734, 476, 2641, 267, 476, 1708, 271, 693, 476, 1240, 281, 1321, 454, 1892, 3143, 269, 1269, 275, 3799, 268, 272, 264, 344, 317, 273, 284, 275, 263, 275, 301, 266, 272, 268, 272, 264, 344, 317, 273, 284, 301, 263, 275, 344, 8203, 273, 10608, 8734, 476, 2641, 267, 476, 1708, 271, 693, 476, 736, 281, 1839, 692, 1607, 568, 1175, 513, 20726, 267, 799, 949, 581, 3730, 267, 711, 513, 2407, 2626, 780, 2330, 263, 273, 317, 330, 268, 272, 7565, 273, 317, 330, 266, 272, 6661, 263, 273, 317, 330, 14870, 7565, 273, 317, 330, 21147, 264, 339, 9681, 5804, 713, 649, 1294, 602, 3230, 343, 2330, 1058, 581, 9642, 269, 1656, 2653, 547, 6961, 602, 519, 30967, 273, 317, 330, 14870, 267, 273, 317, 330, 21147, 6661, 272, 2330, 1306, 519, 3230, 273, 317, 330, 21147, 3436, 476, 273, 317, 330, 268, 272, 2330, 543, 3230, 273, 317, 330, 21147, 3436, 476, 273, 317, 330, 266, 272, 2330, 585, 519, 3230, 343, 285, 272, 2330, 1287, 30967, 273, 317, 330, 21147, 267, 273, 317, 330, 268, 272, 6661, 320, 3436, 476, 272, 2330, 543, 30967, 273, 317, 330, 21147, 267, 273, 317, 330, 266, 272, 6661, 321, 3436, 476, 272, 2330, 543, 30967, 320, 14720, 6661, 272, 2330, 543, 3230, 629, 284, 273, 317, 330, 21147, 29634, 4131, 8263, 602, 30967, 273, 317, 330, 268, 272, 267, 273, 317, 330, 14870, 6661, 322, 2330, 543, 30967, 273, 317, 330, 266, 272, 267, 273, 317, 330, 14870, 6661, 323, 2330, 1287, 15069, 30967, 320, 22698, 6661, 272, 18079, 30967, 320, 28504, 6661, 272, 18079, 30967, 321, 22698, 6661, 272, 18079, 30967, 321, 28504, 6661, 272, 18079, 30967, 323, 22698, 6661, 272, 2330, 543, 3230, 7251, 284, 273, 317, 330, 14870, 21974, 1656, 3230, 320, 14720, 22698, 28504, 2330, 616, 9642, 269, 3230, 659, 1923, 476, 273, 317, 330, 268, 272, 2330, 3230, 321, 323, 1923, 476, 273, 317, 330, 266, 272, 2330, 3230, 629, 266, 7251, 284, 273, 3867, 330, 266, 272, 6525, 3230, 629, 2275, 323, 284, 273, 343, 9681, 5804, 713, 621, 4667, 602, 972, 1058, 581, 930, 3070, 267, 855, 4440, 585, 519, 3230, 330, 2330, 268, 338, 585, 799, 519, 3230, 273, 317, 330, 268, 272, 2330, 543, 3230, 273, 317, 330, 266, 272, 2330, 814, 2614, 16975, 269, 769, 713, 9165, 621, 568, 849, 4277, 547, 2015, 519, 10854, 781, 11532, 692, 1892, 8799, 20726, 2807, 855, 568, 1250, 2626, 849, 4502, 540, 1373, 1572, 513, 20726, 7790, 594, 993, 513, 3983, 19444, 693, 1297, 3069, 267, 855, 594, 723, 2944, 519, 1655, 540, 1018, 594, 666, 2807, 8734, 476, 2641, 267, 476, 1708, 271, 693, 476, 1556, 281, 7871, 454, 1892, 4208, 713, 568, 3020, 286, 18159, 273, 317, 330, 14870, 267, 273, 317, 330, 21147, 6661, 272, 259, 286, 1022, 20726, 286, 8734, 476, 2641, 267, 476, 1708, 271, 693, 476, 1626, 281, 1015, 454, 1892, 27539, 1269, 273, 317, 330, 14870, 284, 12320, 259, 543, 1269, 273, 317, 330, 21147, 284, 583, 259, 1287, 1269, 273, 3867, 330, 266, 272, 13157, 340, 17635, 266, 339, 7751, 607, 519, 1269, 343, 259, 568, 9642, 1287, 1269, 340, 8961, 1269, 341, 259, 543, 1269, 339, 259, 616, 9642, 269, 1924, 519, 1269, 340, 259, 1058, 581, 1269, 272, 10608, 8734, 476, 2641, 267, 476, 1708, 271, 693, 476, 1626, 281, 1691, 454, 1892, 2311, 1899, 476, 278, 267, 12582, 1405, 834, 663, 257, 581, 834, 528, 22172, 8734, 476, 2641, 267, 476, 1708, 271, 693, 476, 1704, 281, 3607, 454, 1892, 7711, 306, 1051, 516, 20994, 519, 2626, 568, 1279, 267, 1577, 803, 1265, 513, 942, 547, 1174, 519, 3877, 269, 8734, 476, 2641, 267, 476, 1708, 271, 693, 476, 1704, 281, 3393, 692, 2690, 3230, 330, 315, 613, 476, 272, 2330, 543, 3230, 271, 267, 15475, 2330, 263, 273, 3867, 273, 330, 18511, 343, 317, 273, 264, 1923, 630, 273, 3867, 273, 330, 18511, 272, 14638, 1721, 930, 3230, 343, 285, 272, 18079, 543, 8754, 602, 3230, 273, 3867, 273, 330, 18511, 343, 317, 273, 2330, 568, 7768, 1152, 540, 519, 6305, 2188, 540, 3230, 273, 3867, 273, 330, 18511, 272, 2330, 855, 19330, 835, 610, 811, 540, 873, 630, 528, 5310, 3568, 782, 540, 519, 3982, 2188, 855, 609, 835, 610, 811, 540, 873, 547, 513, 14758, 1379, 6393, 13295, 1577, 2330, 273, 3867, 273, 330, 18511, 272, 14352, 273, 317, 330, 268, 272, 7565, 273, 317, 330, 266, 272, 6661, 335, 336, 337, 24206, 588, 340, 2330, 663, 15475, 267, 585, 930, 3230, 343, 285, 272, 18079, 602, 2330, 273, 3867, 273, 330, 18511, 343, 317, 273, 284, 335, 336, 24206, 588, 340, 2330, 663, 8754, 17337, 3230, 273, 3867, 273, 330, 18511, 272, 29634, 10190, 2094, 585, 3230, 343, 315, 613, 272, 18079, 2330, 273, 3867, 273, 330, 18511, 343, 317, 273, 14352, 273, 317, 330, 14870, 7565, 273, 317, 330, 21147, 14638, 663, 8754, 519, 2040, 2330, 263, 273, 317, 330, 14870, 11924, 263, 273, 317, 330, 21147, 6661, 273, 3867, 330, 266, 272, 6525, 6533, 2330, 335, 336, 337, 266, 560, 340, 284, 335, 336, 266, 560, 340, 284, 273, 3867, 330, 266, 272, 6525, 6518, 568, 7543, 780, 17798, 621, 568, 2312, 602, 9427, 835, 610, 811, 6305, 2188, 689, 2901, 3230, 273, 317, 330, 268, 272, 2330, 610, 3230, 273, 317, 330, 266, 272, 18079, 1247, 6028, 519, 824, 1039, 754, 16856, 267, 1590, 1118, 741, 2040, 1447, 982, 3230, 273, 3867, 330, 266, 272, 6525, 269, 12846, 1447, 666, 741, 2040, 581, 3230, 273, 3867, 330, 266, 272, 6525, 952, 835, 610, 811, 6305, 2188, 616, 6569, 689, 1312, 3230, 273, 317, 330, 268, 272, 2330, 543, 3230, 273, 317, 330, 266, 272, 29634, 763, 6967, 7872, 568, 602, 9427, 835, 610, 811, 6305, 2188, 689, 1312, 3230, 273, 317, 330, 268, 272, 2330, 543, 3230, 273, 317, 330, 266, 272, 2330, 543, 556, 268, 1551, 4474, 519, 6967, 6305, 2188, 267, 1522, 6556, 513, 2040, 3230, 284, 273, 3867, 330, 266, 272, 6525, 780, 292, 3052, 269, 585, 3230, 330, 284, 277, 18079, 30967, 273, 317, 330, 268, 272, 7565, 273, 317, 330, 266, 272, 6661, 8287, 24206, 4792, 284, 274, 317, 273, 24206, 278, 24206, 276, 24206, 1724, 18079, 543, 2330, 274, 317, 273, 24206, 278, 266, 276, 24206, 1724, 284, 273, 3867, 330, 266, 272, 13157, 273, 317, 278, 2330, 7230, 8221, 835, 3230, 274, 2330, 268, 26476, 543, 556, 268, 1551, 4474, 519, 2185, 6967, 3982, 6305, 2188, 538, 519, 5722, 2009, 2081, 649, 1205, 2330, 274, 24206, 278, 266, 276, 24206, 1724, 284, 10436, 2330, 2330, 274, 24206, 276, 266, 278, 24206, 1724, 284, 11793, 2330, 2330, 274, 24206, 1724, 266, 276, 24206, 1724, 284, 10619, 2330, 2330, 274, 266, 278, 24206, 276, 24206, 1724, 284, 3393, 279, 2330, 2330, 276, 266, 274, 24206, 278, 24206, 1724, 284, 30116, 2330, 2330, 278, 266, 274, 24206, 276, 24206, 1724, 284, 1708, 2330, 2330, 1724, 266, 274, 24206, 276, 24206, 278, 284, 14093, 2330, 8253, 26312, 1934, 568, 602, 782, 18304, 616, 9642, 23385, 540, 3230, 273, 317, 272, 29634, 2690, 3230, 330, 284, 1015, 18079, 9427, 835, 540, 519, 3230, 276, 2330, 268, 2399, 832, 689, 3230, 273, 3867, 273, 330, 18511, 272, 284, 9083, 274, 24206, 9083, 276, 284, 274, 24206, 1556, 24206, 4029, 24206, 276, 317, 273, 24206, 6078, 18079, 594, 1265, 519, 19939, 2009, 18304, 540, 1079, 1039, 1742, 5627, 519, 6967, 2947, 3982, 22136, 616, 782, 9642, 23385, 540, 3230, 273, 317, 273, 29634, 2252, 621, 1223, 581, 3254, 267, 1287, 267, 602, 782, 971, 18304, 12270, 3230, 273, 3867, 273, 330, 18511, 272, 2330, 616, 9642, 23385, 540, 930, 1379, 540, 3230, 273, 18079, 543, 8754, 711, 3160, 547, 3230, 273, 3867, 330, 266, 272, 6525, 267, 621, 1131, 1246, 602, 267, 585, 3230, 330, 315, 613, 272, 2330, 543, 3230, 343, 285, 272, 18079, 3230, 273, 3867, 273, 330, 18511, 343, 317, 273, 2330, 1281, 711, 7941, 3230, 273, 3867, 273, 330, 18511, 272, 29634, 1607, 540, 1576, 568, 711, 513, 2407, 2626, 267, 855, 621, 23933, 856, 513, 2009, 1935, 780, 1892, 594, 1810, 1405, 3494, 707, 2626, 568, 2953, 269, 1269, 273, 3867, 273, 330, 18511, 343, 317, 273, 284, 335, 336, 24206, 588, 340, 259, 568, 711, 519, 1152, 7872, 269, 621, 1223, 581, 1269, 273, 3867, 273, 330, 18511, 343, 317, 273, 284, 1186, 24206, 8913, 259, 610, 1269, 335, 560, 24206, 579, 259, 610, 1022, 824, 10659, 269, 8734, 476, 736, 267, 476, 1708, 271, 693, 476, 866, 281, 2537, 454, 1892, 7711, 290, 12171, 14371, 269, 734, 296, 3858, 267, 972, 616, 1082, 7399, 269, 594, 729, 1152, 15194, 856, 513, 1906, 540, 873, 547, 1376, 609, 267, 12077, 2665, 1141, 519, 6305, 2188, 2611, 24240, 538, 835, 540, 519, 1039, 1742, 855, 519, 824, 1039, 754, 19330, 835, 610, 811, 540, 519, 6305, 2188, 1336, 538, 1269, 273, 3867, 273, 330, 18511, 272, 10608, 594, 979, 593, 547, 1118, 930, 7422, 827, 519, 6967, 7399, 269, 8734, 476, 2641, 267, 476, 1708, 271, 693, 476, 271, 281, 5881, 454, 1892, 7711, 10955, 1189, 303, 528, 3250, 320, 594, 1589, 602, 972, 616, 1869, 811, 7399, 982, 1018, 596, 723, 2808, 269, 1280, 1383, 267, 596, 1223, 4894, 930, 2188, 689, 1269, 273, 317, 330, 268, 272, 259, 543, 9062, 930, 540, 1346, 5196, 1269, 273, 317, 330, 266, 272, 10608, 8734, 476, 2641, 267, 476, 1708, 271, 693, 476, 274, 281, 7367, 454, 1892, 7711, 24171, 289, 20621, 646, 814, 2907, 5018, 621, 32465, 8734, 476, 2641, 267, 476, 1708, 271, 693, 476, 275, 281, 2190, 454, 1892, 594, 6836, 547, 2015, 602, 269, 1280, 1269, 330, 284, 277, 259, 594, 6569, 513, 1269, 274, 27572, 26476, 689, 1269, 273, 317, 330, 268, 272, 8961, 543, 1287, 538, 519, 8772, 32089, 6569, 1269, 278, 259, 689, 1269, 273, 317, 330, 268, 272, 259, 543, 16611, 621, 5196, 1269, 273, 317, 330, 266, 272, 8961, 543, 538, 519, 15795, 32089, 6569, 1269, 274, 259, 689, 1269, 273, 317, 330, 268, 272, 259, 543, 16611, 621, 5196, 1269, 273, 317, 330, 266, 272, 10608, 2107, 568, 602, 711, 1018, 596, 5921, 286, 8734, 476, 2641, 267, 476, 1708, 271, 693, 476, 275, 281, 1839, 692, 2252, 596, 9364, 2648, 547, 267, 596, 949, 1491, 621, 607, 513, 6085, 269, 594, 993, 1175, 8380, 909 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5351, 540, 513, 1297, 540, 20522, 1072, 5829, 4255, 269, 1703, 616, 1082, 2241, 3562, 28273, 543, 782, 5991, 1823, 4485, 540, 8236, 5351, 689, 4745, 15319, 1145, 563, 28319, 559, 779, 804, 1177, 814, 9863, 547, 581, 3811, 538, 519, 16185, 540, 1560, 4745, 31199, 269, 4634, 865, 267, 621, 568, 513, 1434, 2856, 547, 2638, 609, 513, 2564, 3318, 6619, 540, 3843, 713, 1935, 269, 1703, 616, 1896, 1004, 945, 2220, 792, 676, 922, 4398, 267, 543, 922, 4390, 547, 2126, 11213, 10549, 267, 10451, 10688, 4443, 563, 10908, 1075, 657, 8533, 814, 1044, 3927, 9916, 267, 543, 568, 9833, 547, 581, 606, 1360, 3532, 1505, 540, 1574, 532, 12263, 9636, 269, 1717, 267, 538, 930, 3871, 267, 2427, 2164, 798, 2049, 563, 26452, 5686, 540, 12263, 991, 3875, 2553, 540, 4058, 540, 6722, 657, 8533, 269, 3194, 723, 7152, 602, 713, 1587, 666, 581, 3608, 563, 4913, 267, 621, 568, 9244, 6700, 547, 3355, 2638, 609, 609, 707, 4387, 1175, 1354, 3843, 856, 713, 14984, 1587, 563, 295, 273, 334, 16185, 568, 606, 3606, 1134, 8153, 10826, 585, 4745, 1928, 563, 2005, 568, 849, 4857, 607, 1216, 7098, 984, 923, 607, 621, 3340, 3257, 3982, 12204, 540, 7098, 984, 923, 23736, 538, 513, 7535, 563, 297, 2002, 31199, 568, 6157, 711, 3232, 1272, 17116, 267, 855, 621, 666, 9090, 2014, 513, 1390, 4308, 540, 7092, 543, 11605, 267, 2870, 621, 1851, 513, 2582, 540, 519, 1034, 27676, 3871, 2479, 11402, 676, 5256, 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 ]
[ 12467, 263, 12467, 329, 512, 795, 512, 795, 454, 329, 512, 454, 344, 512, 554, 552, 546, 552, 554, 552, 546, 454, 295, 795, 552, 454, 324, 512, 552, 1696, 454, 324, 454, 339, 512, 512, 512, 454, 324, 454, 6440, 5788, 454, 383, 371, 21680, 454, 383, 371, 6440, 21680, 6440, 454, 284, 21591, 23751, 331, 561, 454, 263, 274, 269, 273, 994, 4467, 14658, 18440, 3815, 454, 14294, 1023, 543, 7010, 318, 8245, 517, 454, 295, 599, 7219, 1299, 31550, 11709, 966, 8696, 454, 274, 454, 293, 537, 8175, 11724, 725, 540, 6178, 1023, 1299, 700, 2316, 7010, 22263, 11724, 725, 540, 6178, 1023, 1299, 700, 2316, 7010, 454, 6224, 22790, 454, 274, 269, 22039, 3210, 912, 263, 3738, 630, 12467, 329, 454, 295, 795, 554, 552, 546, 454, 564, 454, 324, 512, 512, 454, 6440, 454, 383, 371, 454, 383, 371, 6440, 454, 23751, 331, 454, 263, 274, 269, 274, 994, 266, 21069, 1106, 1950, 1297, 524, 815, 513, 1341, 795, 321, 912, 1173, 346, 7684, 795, 524, 454, 322, 524, 552, 815, 1141, 454, 263, 12467, 273, 476, 273, 476, 272, 454, 663, 2415, 346, 7684, 16009, 454, 321, 454, 320, 454, 322, 513, 536, 524, 454, 383, 371, 454, 284, 1341, 21591, 266, 21069, 1106, 585, 670, 630, 16660, 2187, 1173, 346, 630, 3738, 8679, 263, 3738, 630, 12467, 329, 670, 795, 454, 295, 795, 670, 795, 552, 454, 324, 454, 324, 552, 21591, 3602, 2715, 7684, 630, 3738, 13804, 3363, 3210, 543, 2415, 630, 3738, 18001, 1365, 333, 572, 670, 795, 670, 795, 552, 552, 815, 21591, 263, 3738, 630, 12467, 263, 3738, 2715, 7684, 630, 3738, 2415, 795, 512, 670, 795, 454, 344, 512, 670, 795, 552, 454, 324, 552, 454, 324, 454, 32504, 23751, 7078, 476, 274, 269, 272, 25846, 18065, 281, 22039, 3210, 454, 763, 20949, 3210, 540, 519, 1062, 11341, 547, 519, 3403, 6453, 547, 519, 6453, 454, 659, 1484, 519, 19218, 538, 8431, 269, 476, 274, 269, 273, 8431, 269, 476, 274, 269, 273, 568, 6508, 538, 7151, 476, 272, 269, 2641, 607, 454, 13045, 272, 454, 263, 3738, 630, 12467, 339, 25846, 454, 327, 512, 552, 579, 512, 454, 13612, 454, 383, 371, 454, 23751, 8340, 606, 4082, 585, 519, 4908, 3210, 267, 543, 454, 7120, 519, 9588, 543, 5123, 3210, 563, 14294, 1023, 543, 7010, 318, 8245, 517, 454, 295, 599, 7219, 1299, 31550, 11709, 966, 8696, 454, 275, 454, 293, 537, 8175, 11724, 725, 540, 6178, 1023, 1299, 700, 2316, 7010, 22263, 11724, 725, 540, 6178, 1023, 1299, 700, 2316, 7010, 454, 6224, 22790, 454, 283, 2999, 22069, 269, 285, 3752, 269, 11417, 8201, 476, 274, 269, 273, 630, 335, 269, 476, 3192, 264, 7612, 476, 274, 269, 273, 630, 335, 269, 476, 3192, 994, 13612, 5547, 585, 7151, 476, 274, 269, 272, 563, 263, 3738, 630, 3738, 512, 512, 552, 454, 564, 454, 339, 454, 323, 552, 579, 552, 454, 13612, 454, 329, 670, 454, 329, 454, 13612, 454, 383, 371, 454, 6440, 454, 6440, 21680, 454, 383, 371, 454, 331, 454, 23751, 272, 454, 339, 454, 339, 552, 454, 323, 552, 454, 13612, 454, 13612, 454, 329, 454, 331, 454, 6440, 454, 2008, 563, 347, 692, 315, 454, 2008, 266, 21680, 454, 23751, 271, 454, 272, 454, 272, 454, 272, 454, 271, 454, 272, 476, 272, 454, 272, 454, 329, 454, 13612, 454, 324, 454, 13612, 454, 329, 454, 13612, 454, 324, 512, 454, 324, 454, 6440, 454, 347, 11406, 383, 371, 30492, 2008, 315, 4586, 383, 371, 454, 23751, 347, 11406, 32504, 2008, 315, 4586, 263, 3738, 476, 272, 476, 271, 454, 272, 454, 272, 476, 272, 454, 383, 371, 454, 2008, 563, 347, 692, 315, 454, 2008, 32504, 383, 371, 454, 23751, 13612, 454, 329, 454, 13612, 454, 324, 454, 13612, 454, 329, 454, 13612, 454, 272, 454, 272, 454, 32504, 23751, 324, 454, 293, 15968, 3210, 912, 300, 1725, 3363, 3210, 912, 263, 12467, 273, 454, 273, 454, 272, 454, 272, 454, 2008, 563, 347, 692, 315, 454, 2008, 32504, 23751, 13612, 454, 13612, 454, 329, 670, 454, 324, 454, 324, 454, 4942, 848, 3210, 912, 263, 3738, 2715, 7684, 630, 3738, 25846, 795, 670, 552, 552, 818, 551, 534, 2415, 21680, 21591, 8993, 269, 476, 274, 269, 277, 630, 320, 264, 543, 630, 321, 264, 8431, 269, 476, 274, 269, 277, 630, 320, 264, 543, 630, 321, 994, 14294, 1023, 543, 7010, 318, 8245, 517, 454, 295, 599, 7219, 1299, 31550, 11709, 966, 8696, 454, 276, 454, 273, 454, 339, 454, 275, 454, 339, 454, 273, 454, 339, 454, 383, 371, 454, 275, 454, 339, 454, 383, 371, 454, 324, 454, 263, 3738, 2715, 7684, 2415, 670, 14247, 454, 324, 454, 263, 3738, 670, 14247, 454, 293, 537, 8175, 11724, 725, 540, 6178, 1023, 1299, 700, 2316, 7010, 22263, 11724, 725, 540, 6178, 1023, 1299, 700, 2316, 7010, 454, 6224, 22790, 454, 8201, 476, 274, 269, 274, 630, 335, 269, 476, 2735, 264, 7612, 476, 274, 269, 274, 630, 335, 269, 476, 2735, 994, 293, 15968, 3210, 540, 519, 25846, 5547, 538, 8431, 269, 476, 274, 269, 273, 269, 630, 320, 264, 13804, 3363, 3210, 563, 6357, 264, 18001, 3210, 563, 266, 661, 3394, 7407, 543, 14802, 10818, 540, 700, 2316, 1062, 454, 314, 288, 316, 23120, 6066, 2013, 912, 272, 269, 661, 3394, 10517, 19948, 281, 8431, 269, 476, 274, 269, 275, 630, 320, 264, 8431, 269, 476, 274, 269, 275, 630, 320, 264, 630, 3738, 2715, 7684, 630, 3738, 512, 512, 670, 3331, 361, 341, 642, 21591, 14294, 1023, 543, 7010, 318, 8245, 517, 454, 295, 599, 7219, 1299, 31550, 11709, 966, 8696, 454, 277, 454, 293, 537, 8175, 11724, 725, 540, 6178, 1023, 1299, 700, 2316, 7010, 22263, 11724, 725, 540, 6178, 1023, 1299, 700, 2316, 7010, 454, 6224, 22790, 454, 8201, 476, 274, 269, 275, 630, 335, 269, 476, 2735, 994, 26877, 755, 1674, 540, 519, 14802, 10818, 3959, 540, 5276, 1949, 269, 634, 2962, 540, 454, 1492, 1062, 593, 606, 14802, 10818, 3403, 568, 8691, 676, 519, 7222, 454, 324, 3394, 7407, 269, 630, 320, 264, 4937, 14802, 10818, 1341, 263, 339, 264, 610, 1341, 314, 333, 316, 543, 14802, 7407, 3331, 361, 563, 6357, 264, 13216, 18980, 18042, 14802, 10818, 552, 454, 27826, 454, 663, 14802, 7407, 670, 263, 16660, 1916, 6262, 264, 13216, 18980, 18042, 14802, 10818, 552, 454, 329, 4002, 454, 663, 14802, 7407, 670, 16216, 454, 329, 302, 454, 1916, 263, 3738, 1496, 9948, 562, 3331, 361, 341, 454, 295, 454, 263, 3738, 512, 642, 454, 263, 3738, 1496, 9948, 562, 642, 454, 263, 3738, 512, 3331, 361, 341, 630, 12467, 329, 512, 454, 295, 795, 552, 454, 324, 454, 324, 454, 295, 454, 329, 512, 454, 324, 454, 324, 454, 295, 454, 329, 562, 454, 324, 454, 302, 630, 12467, 329, 795, 562, 454, 295, 552, 552, 454, 302, 744, 454, 292, 3394, 10818, 281, 630, 12467, 329, 512, 454, 339, 552, 454, 324, 454, 341, 21591, 292, 3394, 7407, 281, 630, 3738, 670, 795, 3331, 361, 552, 21591, 273, 269, 1403, 552, 454, 330, 454, 529, 606, 14802, 19066, 540, 513, 5119, 589, 609, 14802, 7407, 3331, 361, 454, 330, 454, 267, 1287, 454, 330, 737, 737, 454, 383, 361, 815, 32363, 552, 454, 6635, 4226, 9009, 3403, 815, 22051, 2706, 21752, 540, 14802, 325, 17313, 454, 3519, 23728, 5106, 1230, 23728, 5106, 2485, 361, 2485, 361, 18527, 18527, 454, 2750, 269, 18452, 912, 263, 12467, 382, 363, 454, 23751, 23751, 300, 454, 330, 454, 339, 795, 454, 330, 454, 330, 454, 324, 513, 512, 1535, 454, 272, 454, 324, 454, 20479, 912, 263, 3738, 630, 12467, 382, 363, 454, 23751, 23751, 300, 454, 330, 454, 339, 795, 454, 330, 454, 330, 454, 324, 795, 670, 513, 512, 586, 454, 272, 454, 324, 454, 324, 454, 14294, 1023, 543, 7010, 318, 8245, 517, 454, 295, 599, 7219, 1299, 31550, 11709, 966, 8696, 454, 278, 454, 293, 537, 8175, 11724, 725, 540, 6178, 1023, 1299, 700, 2316, 7010, 22263, 11724, 725, 540, 6178, 1023, 1299, 700, 2316, 7010, 454, 6224, 22790, 454, 314, 289, 316, 2598, 4740, 6066, 2013, 912, 272, 269, 661, 3394, 10517, 19948, 281, 8431, 269, 476, 274, 269, 275, 630, 322, 264, 8431, 269, 476, 274, 269, 275, 630, 322, 264, 630, 1496, 476, 8079, 1496, 9948, 670, 562, 562, 642, 3331, 361, 341, 21591, 292, 3394, 10818, 281, 1496, 23378, 329, 562, 454, 333, 552, 642, 454, 302, 454, 23751, 292, 3394, 7407, 281, 630, 12467, 329, 454, 295, 552, 3331, 361, 454, 302, 454, 23751, 273, 269, 18452, 912, 272, 454, 314, 23378, 330, 454, 300, 454, 329, 562, 454, 330, 454, 330, 454, 343, 562, 513, 552, 454, 302, 454, 23751, 23751, 382, 363, 454, 20479, 912, 263, 12467, 272, 454, 314, 23378, 330, 454, 300, 454, 329, 562, 795, 454, 330, 454, 330, 454, 344, 562, 513, 670, 552, 552, 454, 302, 744, 454, 23751, 23751, 382, 363, 454, 274, 269, 274, 476, 274, 269, 274, 22263, 11724, 725, 585, 9050, 5049, 540, 6178, 1023, 22263, 11724, 725, 585, 9050, 5049, 540, 6178, 1023, 454, 266, 9050, 3982, 22263, 11269, 281, 7305, 476, 274, 269, 272, 7305, 476, 274, 269, 272, 563, 14294, 1023, 543, 7010, 318, 8245, 517, 454, 295, 599, 7219, 1299, 31550, 11709, 966, 8696, 454, 279, 454, 293, 537, 8175, 11724, 725, 540, 6178, 1023, 1299, 700, 2316, 7010, 22263, 11724, 725, 540, 6178, 1023, 1299, 700, 2316, 7010, 454, 6224, 22790, 454, 271, 476, 271, 454, 529, 519, 555, 23191, 540, 4586, 329, 330, 512, 795, 512, 454, 324, 737, 552, 454, 324, 552, 454, 32504, 274, 269, 634, 1950, 18980, 6950, 1163, 27203, 330, 302, 454, 334, 454, 333, 264, 616, 715, 12656, 1675, 923, 538, 519, 4908, 4994, 737, 563, 283, 2999, 335, 325, 269, 285, 533, 325, 269, 285, 630, 3738, 562, 795, 330, 562, 795, 301, 562, 918, 715, 795, 454, 324, 552, 552, 454, 271, 476, 271, 476, 271, 454, 302, 744, 744, 30492, 23751, 333, 795, 301, 562, 795, 454, 324, 552, 454, 271, 454, 273, 744, 454, 23751, 339, 562, 795, 330, 454, 324, 454, 271, 454, 302, 454, 23751, 2467, 616, 1152, 715, 3982, 1950, 18980, 6950, 540, 519, 1106, 1163, 27203, 330, 302, 454, 271, 454, 333, 994, 29019, 581, 1031, 538, 26169, 269, 630, 274, 269, 275, 1916, 292, 336, 269, 630, 274, 269, 275, 994, 271, 454, 272, 454, 271, 454, 263, 3738, 1496, 23378, 301, 454, 329, 330, 562, 454, 330, 454, 343, 512, 589, 737, 552, 454, 383, 371, 454, 302, 454, 23751, 23751, 382, 363, 454, 263, 274, 269, 277, 994, 266, 6641, 5471, 1845, 538, 1535, 25208, 14158, 274, 269, 274, 269, 272, 476, 274, 269, 274, 269, 272, 11270, 545, 6178, 1023, 281, 22263, 10022, 11724, 725, 11270, 545, 6178, 1023, 281, 22263, 10022, 11724, 725, 454, 272, 269, 1535, 19559, 316, 815, 15768, 6066, 5365, 609, 4909, 1974, 715, 269, 667, 307, 12396, 540, 1535, 19559, 316, 568, 454, 271, 454, 314, 9948, 1496, 23378, 329, 330, 562, 454, 330, 454, 343, 562, 589, 737, 552, 454, 302, 454, 23751, 382, 363, 630, 274, 269, 275, 994, 302, 454, 334, 454, 284, 476, 273, 339, 21610, 21680, 27284, 454, 325, 15968, 540, 1535, 19559, 2639, 273, 269, 1535, 6025, 264, 815, 6024, 6066, 5365, 609, 4909, 1974, 570, 269, 674, 306, 540, 1535, 6025, 264, 568, 454, 271, 454, 263, 3738, 1496, 23378, 329, 330, 512, 454, 330, 454, 343, 512, 589, 737, 552, 454, 324, 454, 23751, 382, 363, 630, 274, 269, 276, 994, 324, 454, 334, 454, 284, 476, 273, 339, 20081, 21680, 27284, 454, 325, 15968, 540, 1535, 6025, 994, 266, 968, 317, 892, 18575, 16977, 1871, 269, 589, 25208, 316, 815, 519, 2597, 4294, 547, 519, 737, 454, 628, 454, 327, 1301, 4577, 563, 330, 815, 21680, 630, 301, 21680, 476, 272, 8358, 273, 547, 630, 301, 21680, 476, 272, 8358, 273, 454, 14294, 1023, 543, 7010, 318, 8245, 517, 454, 295, 599, 7219, 1299, 31550, 11709, 966, 8696, 454, 280, 454, 293, 537, 8175, 11724, 725, 540, 6178, 1023, 1299, 700, 2316, 7010, 22263, 11724, 725, 540, 6178, 1023, 1299, 700, 2316, 7010, 454, 6224, 22790, 454, 275, 269, 23120, 6066, 1950, 18980, 1355, 1163, 27203, 651, 454, 271, 454, 339, 264, 609 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 532, 513, 4605, 454, 2419, 6064, 532, 270, 30112, 1377, 676, 1377, 1403, 513, 4214, 3322, 2789, 6106, 540, 3067, 13294, 269, 6423, 28001, 781, 8847, 585, 4399, 29166, 27432, 27572, 29148, 267, 5555, 4399, 29166, 27432, 27572, 29148, 267, 4399, 29166, 27432, 27572, 611, 6254, 267, 3092, 563, 2026, 6362, 930, 6006, 2055, 585, 513, 2016, 2361, 769, 1939, 1464, 3069, 267, 596, 1058, 2141, 581, 6998, 834, 3674, 713, 1599, 2698, 610, 9864, 8119, 610, 3116, 596, 1981, 4742, 11821, 780, 1103, 5276, 7223, 630, 15290, 2944, 538, 513, 11282, 6954, 1259, 264, 835, 1058, 2141, 2307, 834, 529, 713, 6152, 2230, 13113, 8820, 12482, 296, 1589, 930, 824, 4610, 849, 723, 713, 2186, 540, 2243, 602, 596, 1058, 2141, 581, 6998, 540, 3615, 780, 1012, 18467, 547, 3432, 1919, 909, 692, 2467, 616, 1896, 2081, 547, 3432, 909, 4882, 330, 760, 3268, 538, 519, 1657, 3349, 267, 865, 602, 835, 3085, 1405, 6108, 1932, 1454, 942, 593, 8847, 780, 2162, 32303, 344, 1620, 692, 3080, 2856, 568, 547, 18178, 3843, 547, 2731, 9240, 330, 513, 4214, 693, 1101, 267, 543, 1294, 1018, 3983, 1919, 1522, 4755, 269, 634, 2856, 568, 547, 1287, 1152, 2097, 1394, 547, 519, 4214, 950, 835, 2115, 3877, 689, 621, 269, 901, 568, 2147, 547, 27823, 6268, 538, 5752, 780, 2162, 8490, 1055, 2147, 8847, 692, 2252, 513, 2147, 4214, 814, 1175, 1044, 3989, 630, 663, 835, 814, 3144, 519, 942, 547, 1174, 621, 1070, 513, 2147, 4214, 786, 711, 991, 607, 1454, 942, 547, 1174, 630, 821, 1152, 2115, 547, 1445, 593, 519, 3604, 1063, 519, 1079, 8847, 1040, 1280, 3236, 267, 1310, 835, 814, 6956, 1305, 9769, 267, 835, 666, 5266, 3533, 1174, 1305, 10167, 780, 2162, 1234, 2391, 593, 1995, 543, 20932, 692, 30631, 1302, 267, 1310, 835, 814, 6594, 513, 2603, 540, 6128, 267, 1620, 8847, 3587, 811, 13128, 269, 2290, 666, 2744, 606, 20932, 540, 799, 3268, 616, 1271, 585, 513, 1880, 4214, 267, 610, 950, 547, 6108, 930, 942, 543, 950, 547, 1847, 3533, 269, 0, 258, 27387, 281, 4009, 5072, 543, 2942, 20581, 692, 272, 269, 12361, 4009, 5072, 543, 2942, 20581, 692, 2889, 12378, 912, 8340, 519, 3970, 269, 630, 2252, 596, 991, 547, 946, 910, 610, 2073, 4283, 910, 2562, 293, 2562, 14510, 610, 5442, 293, 2562, 14510, 24355, 296, 1131, 2491, 1018, 476, 633, 2944, 538, 811, 1469, 267, 855, 1775, 917, 708, 7508, 1945, 1813, 547, 1535, 16042, 2258, 269, 20581, 267, 855, 1775, 1705, 9062, 519, 1657, 1187, 551, 269, 676, 922, 31669, 547, 1205, 630, 343, 268, 272, 19422, 343, 30026, 3597, 540, 1535, 317, 273, 266, 275, 343, 1040, 1215, 1131, 1775, 979, 827, 713, 286, 11289, 596, 269, 910, 292, 7079, 692, 273, 269, 20323, 17397, 676, 5345, 534, 14389, 574, 807, 454, 2889, 12378, 912, 8340, 519, 3970, 269, 630, 2252, 596, 991, 547, 946, 910, 610, 2073, 4283, 910, 2562, 293, 2562, 14510, 610, 5442, 293, 2562, 14510, 24355, 296, 1131, 2491, 1018, 476, 633, 2944, 538, 811, 1469, 267, 855, 1775, 917, 708, 7508, 1945, 1813, 547, 1535, 16042, 2258, 269, 20581, 267, 855, 1775, 1705, 9062, 519, 1657, 1187, 551, 269, 676, 922, 31669, 547, 1205, 630, 343, 268, 272, 19422, 343, 30026, 3597, 540, 1535, 317, 273, 266, 275, 343, 1040, 1215, 1131, 1775, 979, 827, 713, 286, 11289, 596, 269, 910, 292, 7079, 454, 4131, 4399, 6234, 1535, 815, 910, 339, 259, 543, 5173, 4399, 6234, 1422, 3916, 3709, 339, 1422, 21375, 1341, 1422, 13727, 348, 1422, 3847, 263, 1422, 6912, 346, 512, 317, 273, 910, 476, 275, 339, 348, 910, 512, 9368, 7751, 780, 274, 269, 21411, 1934, 568, 1018, 1775, 723, 13718, 338, 336, 10174, 6025, 317, 273, 268, 275, 339, 9984, 339, 2608, 13483, 10174, 6025, 317, 273, 268, 275, 339, 11924, 339, 454, 2411, 734, 454, 272, 2608, 13483, 10174, 6025, 317, 273, 268, 275, 339, 11924, 339, 692, 339, 317, 273, 268, 275, 339, 2389, 317, 273, 454, 1366, 955, 8894, 338, 336, 10174, 6025, 317, 273, 268, 275, 339, 11924, 339, 692, 4621, 13521, 622, 899, 2474, 1287, 7941, 676, 512, 19601, 268, 275, 454, 1366, 9339, 8894, 265, 13483, 10174, 6025, 317, 273, 268, 275, 339, 11924, 272, 692, 6011, 666, 1775, 5265, 4194, 585, 519, 14009, 609, 519, 13483, 10174, 3238, 286, 594, 723, 1945, 593, 1957, 602, 4991, 803, 13483, 10174, 6025, 268, 275, 11924, 272, 799, 568, 1034, 2693, 4636, 269, 8729, 780, 275, 269, 20323, 17397, 676, 5345, 534, 14389, 574, 807, 454, 302, 330, 1934, 568, 1018, 1775, 723, 13718, 338, 336, 10174, 6025, 317, 273, 268, 275, 339, 9984, 339, 2608, 13483, 10174, 6025, 317, 273, 268, 275, 339, 11924, 339, 454, 2411, 734, 454, 272, 2608, 13483, 10174, 6025, 317, 273, 268, 275, 339, 11924, 339, 692, 339, 317, 273, 268, 275, 339, 2389, 317, 273, 454, 1366, 955, 8894, 338, 336, 10174, 6025, 317, 273, 268, 275, 339, 11924, 339, 692, 4621, 13521, 622, 899, 2474, 1287, 7941, 676, 512, 19601, 268, 275, 454, 1366, 9339, 8894, 265, 13483, 10174, 6025, 317, 273, 268, 275, 339, 11924, 272, 692, 6011, 666, 1775, 5265, 4194, 585, 519, 14009, 609, 519, 13483, 10174, 3238, 286, 594, 723, 1945, 593, 1957, 602, 4991, 803, 13483, 10174, 6025, 268, 275, 11924, 272, 799, 568, 1034, 2693, 4636, 269, 8729, 563, 2691, 596, 5258, 519, 14009, 676, 512, 267, 596, 8959, 547, 7941, 519, 4009, 3597, 2165, 676, 512, 269, 634, 2953, 4082, 568, 4399, 6234, 1422, 2765, 24877, 275, 7346, 6912, 346, 272, 910, 1422, 2765, 346, 275, 2410, 339, 3686, 1341, 476, 272, 23201, 3767, 1491, 519, 2838, 3970, 780, 276, 269, 594, 1294, 269, 1215, 1131, 1775, 5265, 7941, 512, 676, 519, 14009, 286, 594, 917, 713, 568, 2653, 267, 855, 1250, 7223, 568, 1055, 269, 594, 917, 12270, 676, 512, 538, 519, 13483, 10174, 530, 2632, 2731, 960, 8259, 512, 3294, 568, 1369, 513, 4009, 3597, 267, 865, 512, 284, 13483, 10174, 6025, 317, 273, 1070, 993, 1775, 1318, 286, 1403, 602, 338, 865, 267, 1287, 1775, 666, 1294, 13483, 10174, 6025, 317, 273, 268, 275, 339, 994, 339, 9506, 883, 630, 272, 268, 275, 14121, 1070, 855, 1131, 660, 519, 476, 272, 2490, 883, 476, 272, 4882, 336, 10174, 3287, 317, 273, 264, 799, 1131, 3160, 476, 271, 286, 594, 917, 708, 4636, 267, 1175, 3206, 856, 10978, 780, 9827, 267, 596, 6045, 713, 1732, 982, 1250, 2979, 4116, 2221, 267, 7064, 585, 3388, 780, 277, 269, 20323, 17397, 676, 5345, 534, 14389, 574, 807, 454, 296, 1294, 269, 1215, 1131, 1775, 5265, 7941, 512, 676, 519, 14009, 286, 594, 917, 713, 568, 2653, 267, 855, 1250, 7223, 568, 1055, 269, 594, 917, 12270, 676, 512, 538, 519, 13483, 10174, 530, 2632, 2731, 960, 8259, 512, 3294, 568, 1369, 513, 4009, 3597, 267, 865, 512, 284, 13483, 10174, 6025, 317, 273, 1070, 993, 1775, 1318, 286, 1403, 602, 338, 865, 267, 1287, 1775, 666, 1294, 13483, 10174, 6025, 317, 273, 268, 275, 339, 994, 339, 9506, 883, 630, 272, 268, 275, 14121, 1070, 855, 1131, 660, 519, 476, 272, 2490, 883, 476, 272, 4882, 336, 10174, 3287, 317, 273, 264, 799, 1131, 3160, 476, 271, 286, 594, 917, 708, 4636, 267, 1175, 3206, 856, 10978, 780, 9827, 267, 596, 6045, 713, 1732, 982, 1250, 2979, 4116, 2221, 267, 7064, 585, 3388, 563, 2791, 7941, 1142, 2165, 538, 519, 14009, 676, 512, 780, 291, 1204, 532, 519, 4009, 3597, 2165, 676, 512, 1568, 538, 519, 1259, 596, 723, 4330, 269, 1656, 950, 596, 7941, 519, 824, 2165, 676, 512, 630, 663, 602, 824, 2165, 568, 512, 264, 1287, 596, 1205, 512, 14121, 815, 476, 272, 269, 1924, 596, 1439, 909, 609, 513, 14009, 607, 594, 11540, 269, 0, 266, 271, 692, 258, 5225, 948, 692, 271, 454, 10463, 454, 272, 692, 2252, 1079, 26852, 616, 6537, 689, 513, 2721, 518, 5627, 476, 277, 15454, 26852, 543, 476, 279, 4544, 26852, 267, 1287, 1018, 568, 519, 5506, 540, 3478, 513, 20083, 6292, 2496, 9802, 476, 1691, 267, 476, 1708, 271, 692, 2162, 476, 272, 266, 271, 12226, 692, 258, 272, 454, 266, 25546, 7871, 454, 271, 692, 2791, 666, 1205, 513, 20083, 15454, 6292, 610, 513, 20083, 4544, 6292, 1384, 294, 9445, 281, 1109, 476, 277, 270, 1691, 1535, 476, 276, 270, 1724, 1109, 815, 1109, 476, 1428, 270, 11011, 692, 23325, 281, 1109, 476, 279, 270, 1691, 1535, 476, 278, 270, 1724, 1109, 815, 1109, 476, 275, 270, 1724, 692, 29002, 891, 1927, 547, 1205, 519, 3803, 2626, 281, 1109, 476, 6246, 270, 11011, 692, 9802, 476, 1691, 267, 476, 1708, 271, 0, 258, 14581, 6435, 281, 11512, 566, 910, 2578, 269, 24665, 566, 543, 19358, 1113, 24665, 566, 10484, 272, 269, 9947, 476, 278, 267, 476, 1220, 280, 692, 2162, 6264, 3064, 343, 692, 272, 269, 634, 1966, 3948, 267, 782, 4632, 543, 2016, 270, 4385, 1239, 454, 10521, 4542, 593, 17040, 6517, 616, 27410, 513, 9764, 2490, 267, 543, 789, 723, 519, 1482, 1298, 269, 10231, 269, 1717, 267, 519, 2619, 540, 1286, 589, 814, 513, 8953, 540, 476, 4366, 544, 267, 1247, 602, 540, 1286, 645, 568, 476, 3607, 544, 269, 14419, 519, 32311, 540, 16070, 838, 539, 540, 1286, 589, 547, 519, 16070, 3432, 540, 1286, 645, 563, 273, 269, 31999, 4834, 454, 341, 273, 815, 6695, 18652, 2330, 273, 1341, 678, 273, 692, 8809, 815, 642, 273, 29265, 454, 274, 269, 634, 3801, 693, 513, 3070, 454, 810, 11214, 1775, 3893, 519, 1318, 2626, 676, 2921, 519, 4009, 3597, 540, 630, 274, 270, 275, 1040, 26023, 1775, 993, 11842, 952, 2576, 1223, 948, 803, 979, 998, 519, 7223, 547, 1205, 519, 3803, 1267, 780, 12552, 454, 272, 269, 634, 1966, 3948, 267, 782, 4632, 543, 2016, 270, 4385, 1239, 692, 273, 269, 31999, 4834, 692, 274, 269, 634, 3801, 693, 513, 3070, 692, 273, 269, 9947, 476, 278, 267, 476, 1220, 280, 692, 2162, 6264, 3064, 343, 692, 716, 1302, 1775, 917, 875, 547, 798, 519, 3473, 3630, 1018, 1775, 5921, 547, 2307, 729, 1946, 568, 621, 555, 4009, 10174, 540, 630, 274, 270, 275, 264, 543, 711, 630, 275, 270, 274, 2020, 274, 269, 9947, 476, 278, 267, 476, 1220, 280, 692, 2162, 4224, 8807, 516, 752, 5780, 278, 692, 2330, 293, 7807, 18652, 317, 273, 678, 9681, 2330, 293, 318, 288, 7807, 18652, 318, 288, 317, 273, 678, 318, 288, 9681, 2330, 293, 29758, 7807, 18652, 29758, 317, 273, 678, 29758, 9681, 337, 288, 284, 4366, 454, 337, 289, 284, 3607, 692, 2791, 1616, 547, 1205, 530, 288, 11320, 289, 780, 7712, 14174, 284, 293, 289, 18092, 14174, 22077, 289, 284, 272, 692, 9989, 713, 948, 6029, 875, 547, 1205, 519, 2626, 2496, 275, 269, 9947, 476, 278, 267, 476, 1220, 280, 692, 2162, 6264, 3064, 343, 692, 13433, 256, 2433, 264, 7064, 1360, 1454, 8627, 0, 258, 1215, 547, 1265, 519, 32671, 1297, 2496, 1892, 5239, 476, 3066, 628, 267, 476, 1001, 274, 267, 476, 5400, 281, 2537, 6751, 454, 9188, 328, 309, 6400, 454, 1692, 547, 1265, 519, 32671, 1297, 888, 1432, 568, 519, 1982, 827, 2496, 1607, 1982, 814, 476, 273, 4247, 563, 3080, 568, 547, 1820, 782, 519, 1256, 2338, 689, 476, 271, 547, 476, 1911, 454, 13553, 568, 547, 4283, 513, 1297, 1063, 476, 272, 547, 476, 1015, 543, 723, 519, 1982, 1820, 1169, 32671, 1297, 1063, 476, 271, 543, 476, 1911, 269, 1280, 1383, 267, 952, 596, 4283, 476, 276, 1287, 476, 271, 267, 476, 276, 267, 476, 1015, 267, 476, 1428, 267, 476, 736, 10371, 476, 4817, 267, 476, 1911, 568, 9102, 780, 1432, 568, 519, 1966, 2496, 296, 2907, 6192, 4305, 835, 269, 1656, 2034, 4305, 594, 1589, 594, 993, 3592, 2944, 568, 547, 1820, 519, 32671, 1297, 855, 594, 991, 519, 4542, 602, 9060, 519, 32671, 1297, 563, 3383, 875, 666, 602, 581, 2944, 780, 24927, 23241, 3499, 5814, 28162, 269, 583, 559, 2529, 4754, 1676, 282, 1857, 1362, 4634, 301, 4548, 2715, 1857, 11979, 20704, 1292, 263, 21642, 26571, 314, 8079, 2715, 703, 1256, 19617, 284, 273, 282, 703, 1297, 282, 703, 1775, 282, 2480, 534, 1676, 521, 815, 1007, 2480, 534, 1676, 263, 21902, 23357, 5148, 585, 16216, 1597, 19617, 284, 273, 282, 16838, 19617, 27045, 1911, 282, 16838, 19617, 23785, 273, 264, 3590, 269, 719, 31428, 16216 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 513, 1978, 2564, 5868, 267, 607, 519, 4576, 666, 4434, 3533, 563, 29819, 540, 1773, 6558, 538, 17268, 454, 291, 9233, 602, 6876, 20575, 616, 1447, 1034, 2693, 547, 1020, 2564, 2068, 543, 616, 3335, 28105, 269, 1403, 789, 798, 7866, 4791, 4191, 540, 519, 4576, 267, 891, 786, 581, 20060, 24594, 543, 1522, 2874, 540, 912, 268, 1323, 24803, 6179, 6242, 454, 268, 769, 4148, 3139, 9726, 9136, 454, 2467, 616, 476, 274, 2010, 540, 20575, 267, 1022, 540, 799, 1522, 1764, 707, 22578, 563, 268, 32686, 4577, 20575, 1107, 634, 1034, 6093, 1826, 540, 20575, 269, 898, 5222, 519, 9726, 15374, 543, 2982, 607, 28332, 9726, 9136, 563, 268, 623, 12149, 4577, 20575, 1107, 19732, 839, 950, 962, 11641, 529, 8764, 919, 519, 9641, 267, 799, 3622, 3123, 16415, 543, 799, 568, 5393, 11763, 563, 268, 1530, 10364, 2438, 20575, 1107, 10552, 3968, 538, 799, 519, 17900, 2333, 538, 519, 1973, 563, 3725, 3517, 1280, 1773, 6558, 538, 17268, 454, 763, 17900, 962, 619, 27091, 11641, 529, 568, 519, 1463, 2601, 585, 519, 20575, 267, 799, 568, 3335, 4362, 538, 23224, 630, 337, 1846, 267, 8983, 267, 25277, 267, 8423, 9094, 264, 543, 538, 519, 7904, 553, 602, 3049, 2390, 873, 269, 1879, 513, 22578, 13788, 5905, 609, 513, 13572, 887, 4823, 779, 19975, 267, 28797, 267, 610, 5160, 267, 646, 7475, 909, 1373, 6534, 547, 962, 11641, 529, 269, 589, 4620, 2915, 1522, 11338, 4579, 519, 4576, 952, 3787, 1084, 676, 513, 13572, 7904, 320, 269, 17268, 602, 2661, 538, 2127, 1141, 962, 11641, 529, 568, 21049, 267, 971, 607, 538, 519, 6917, 7178, 540, 519, 2136, 2276, 267, 616, 693, 3152, 8594, 585, 20575, 269, 769, 891, 6753, 267, 621, 568, 15695, 602, 596, 1832, 707, 22578, 3330, 610, 593, 513, 682, 1662, 950, 16538, 563, 21357, 23369, 540, 1773, 6558, 538, 17268, 454, 18814, 547, 519, 1249, 602, 519, 4191, 585, 20575, 616, 20060, 24594, 267, 519, 17022, 1522, 711, 3494, 20575, 1318, 2476, 269, 18242, 519, 17022, 609, 513, 2698, 1686, 2429, 519, 16861, 6268, 267, 9967, 540, 519, 12614, 543, 1377, 540, 1022, 4791, 4191, 596, 4767, 269, 634, 17022, 786, 4163, 856, 513, 5730, 1072, 6514, 543, 1685, 1973, 4255, 543, 2712, 1400, 1736, 547, 1205, 7759, 540, 824, 2009, 2175, 607, 513, 2014, 585, 707, 22578, 779, 4191, 563, 5522, 6558, 568, 3622, 9571, 676, 7114, 962, 11641, 529, 538, 707, 22578, 779, 1973, 610, 5160, 269, 27842, 1522, 581, 9715, 998, 513, 9726, 6843, 8321, 622, 267, 3003, 1973, 1449, 267, 610, 513, 2220, 629, 540, 513, 1951, 1456, 12992, 15319, 269, 1452, 4529, 616, 1034, 6325, 952, 789, 616, 3144, 1991, 547, 1022, 13310, 11216, 616, 13950, 267, 1498, 4255, 1590, 1869, 581, 5340, 1256, 952, 707, 22578, 814, 2965, 4867, 1044, 6035, 6646, 269, 1635, 8159, 519, 1880, 11248, 267, 519, 17022, 568, 1454, 1732, 2111, 547, 4363, 1697, 2126, 269, 27842, 786, 581, 2366, 856, 547, 606, 2404, 2978, 585, 9584, 1813, 547, 519, 8594, 540, 3662, 3562, 25993, 6771, 563, 21675, 540, 1773, 6558, 538, 17268, 454, 21675, 568, 3622, 13175, 1991, 547, 513, 598, 5477, 2564, 5868, 568, 1500, 267, 607, 519, 4576, 666, 4434, 2731, 6385, 269, 634, 17022, 786, 17982, 1585, 13310, 11216, 4470, 2390, 519, 1377, 540, 707, 22578, 779, 2068, 269, 25792, 5061, 602, 1522, 581, 5227, 2874, 540, 912, 7712, 972, 568, 513, 8594, 602, 519, 20575, 1522, 1847, 689, 707, 22578, 547, 596, 267, 707, 22578, 786, 2154, 547, 581, 32509, 2429, 519, 21380, 8653, 952, 519, 17022, 14659, 602, 646, 814, 519, 20575, 269, 634, 29164, 8653, 585, 20575, 538, 5243, 8677, 689, 835, 1554, 547, 835, 3018, 269, 3465, 5524, 11216, 786, 1034, 1034, 2693, 581, 22280, 267, 1498, 2899, 707, 22578, 8761, 23053, 540, 2564, 19349, 267, 519, 17022, 1522, 2303, 28720, 6646, 30375, 563, 3891, 2718, 540, 1773, 6558, 538, 17268, 454, 5522, 6558, 568, 513, 1990, 3019, 5328, 4576, 267, 543, 4352, 2915, 3562, 25993, 6771, 568, 8966, 267, 621, 568, 1869, 2009, 269, 901, 568, 1946, 621, 568, 1271, 602, 596, 6615, 3346, 609, 707, 22578, 2429, 519, 21380, 8653, 269, 4495, 519, 20575, 2564, 5868, 814, 2965, 1044, 24019, 267, 519, 17022, 786, 1832, 707, 22578, 32509, 11489, 707, 22578, 814, 2965, 973, 10967, 730, 18113, 547, 6175, 519, 8594, 540, 6771, 563, 2252, 596, 2661, 538, 513, 4087, 538, 799, 962, 11641, 529, 568, 21049, 267, 1118, 1978, 602, 596, 946, 7904, 320, 1852, 6646, 22991, 799, 596, 711, 5512, 707, 22578, 547, 588, 2651, 3362, 267, 607, 6382, 707, 22578, 1522, 581, 5368, 2739, 539, 269, 7799, 2787, 707, 22578, 689, 10024, 883, 1289, 609, 3552, 23224, 610, 741, 3276, 4900, 267, 543, 3346, 707, 6237, 1857, 1072, 8128, 1318, 2476, 952, 596, 3494, 602, 707, 22578, 1522, 723, 26438, 519, 20575, 269, 0, 12218, 476, 274, 18438, 454, 2691, 11778, 543, 9502, 6119, 2270, 1114, 8827, 19590, 267, 519, 4611, 31992, 568, 711, 2953, 269, 769, 930, 6381, 267, 519, 11410, 565, 1807, 5360, 1622, 602, 519, 8544, 1127, 798, 711, 16937, 630, 15290, 789, 1058, 1070, 543, 538, 1866, 519, 11410, 565, 730, 2361, 2418, 616, 26987, 676, 513, 3815, 1644, 547, 519, 3017, 538, 8827, 19590, 563, 763, 1966, 568, 602, 519, 11410, 565, 1807, 3112, 1224, 8827, 19590, 689, 513, 9502, 11711, 630, 21671, 513, 11778, 11711, 1070, 543, 538, 713, 2013, 17648, 789, 616, 9838, 538, 1312, 6119, 630, 328, 4318, 269, 519, 6151, 2418, 616, 11410, 565, 730, 1510, 3617, 18440, 1040, 634, 4611, 7180, 666, 581, 17450, 543, 8827, 5149, 8200, 269, 1280, 1383, 912, 268, 3604, 538, 519, 20099, 1770, 949, 1267, 538, 7805, 9864, 610, 1875, 27492, 331, 777, 540, 8544, 1127, 630, 1492, 8545, 4611, 538, 5821, 540, 31992, 1916, 268, 3604, 538, 1022, 8827, 5149, 786, 1267, 538, 606, 7805, 18440, 540, 519, 11410, 565, 730, 2361, 2418, 563, 2690, 11931, 1533, 9273, 1141, 519, 31992, 568, 3811, 267, 519, 24626, 949, 1869, 2196, 547, 19427, 269, 1717, 267, 585, 23644, 9273, 519, 3803, 3070, 568, 8200, 593, 519, 3355, 2175, 543, 786, 581, 11234, 563, 9616, 602, 950, 16198, 540, 1079, 11778, 6119, 568, 5340, 1210, 519, 12433, 20212, 4781, 267, 519, 4611, 16338, 4632, 454, 5591, 960, 19925, 568, 4867, 2139, 269, 0, 10387, 3827, 540, 12971, 343, 666, 581, 2901, 705, 730, 610, 6417, 676, 3119, 3800, 610, 1166, 826, 3154, 2126, 4066, 269, 12729, 3800, 585, 12971, 343, 1852, 949, 581, 5258, 883, 519, 1739, 6688, 912, 14315, 518, 5688, 5314, 585, 12971, 343, 1852, 630, 1410, 947, 2011, 1852, 267, 6633, 518, 5386, 25122, 994, 1515, 588, 1645, 630, 1478, 13933, 2011, 610, 1079, 22533, 13674, 994, 4148, 826, 3154, 973, 597, 27218, 454, 325, 3241, 588, 1645, 630, 14315, 518, 856, 540, 3028, 267, 4492, 1979, 2084, 267, 6450, 9506, 610, 1614, 3942, 13674, 994, 869, 12971, 343, 6633, 619, 454, 289, 1248, 518, 5688, 5314, 2553, 543, 1970, 12971, 343, 6633, 619, 616, 1031, 547, 6922, 1047, 519, 5250, 540, 12971, 343, 1282, 13674, 269, 769, 2011, 588, 1645, 543, 1166, 826, 3154, 973, 597, 27218, 4066, 267, 519, 2832, 568, 547, 2569, 519, 5135, 8244, 547, 948, 2569, 12971, 343, 5250, 543, 2347, 519, 13674, 269, 769, 4492, 588, 1645, 267, 5892, 4646, 12971, 343, 568, 4389, 547, 9436, 543, 5135, 1369, 519, 19460, 630, 306, 3716, 543, 30738, 553, 11867, 267, 476, 1960, 277, 1916, 27650, 3800, 585, 12971, 343, 1852, 630, 14315, 518, 5688, 5314, 267, 1970, 12971, 343, 6633, 619, 543, 936, 13933, 2011, 264, 616, 1631, 2808, 7533, 2694, 540, 513, 9241, 3710, 1379, 2030, 543, 4540, 4559, 27164, 7257, 873, 8164, 789, 616, 2838, 547, 2569, 741, 12971, 343, 5434, 269, 590, 10135, 568, 7608, 2429, 519, 1158, 607, 519, 8810, 5010, 4781, 547, 3035, 1164, 12971, 343, 8851, 269, 1717, 267, 1007, 7835, 538, 3119, 3800, 267, 971, 607, 3498, 540, 519, 6450, 9506, 1184, 693, 1804, 4336, 267, 4359, 6450, 9506, 607, 1134, 607, 2022, 10687, 321, 755, 542, 1166, 826, 3154, 2126, 971, 607, 19301, 10135, 543, 5916, 14298, 273, 270, 17472, 343, 1852, 1949, 1058, 2709, 8925, 547, 590, 10135, 538, 519, 2104, 269, 0, 1607, 9074, 6663, 693, 2866, 1053, 538, 519, 1646, 540, 513, 10386, 4640, 543, 519, 5542, 540, 3732, 4559, 585, 1808, 2010, 540, 10386, 2409, 563, 5415, 4481, 267, 676, 519, 1439, 540, 519, 9074, 267, 1053, 1058, 581, 2111, 547, 267, 9935, 547, 513, 1382, 2243, 543, 606, 3617, 1353, 1374, 547, 2626, 547, 602, 2243, 912, 1700, 7600, 1227, 2824, 519, 1826, 540, 3732, 547, 581, 6537, 543, 17854, 741, 3903, 454, 1700, 3763, 513, 10386, 4640, 602, 2882, 281, 8446, 540, 2596, 3732, 4559, 543, 1797, 547, 3927, 3914, 1346, 2596, 3732, 4559, 630, 324, 3052, 1421, 10386, 14604, 267, 5542, 540, 645, 24746, 994, 16914, 1042, 1243, 607, 513, 570, 1886, 10955, 4359, 1576, 454, 9359, 4266, 281, 476, 275, 628, 694, 4697, 476, 1001, 279, 454, 17484, 4266, 281, 476, 1428, 628, 694, 4697, 476, 1001, 279, 454, 10831, 540, 4025, 454, 10743, 11504, 713, 1576, 1058, 723, 3105, 1702, 630, 3698, 6873, 543, 2101, 2934, 267, 5383, 543, 11393, 264, 593, 2241, 4351, 10386, 267, 14404, 1881, 10386, 267, 844, 7974, 10386, 267, 12440, 10386, 267, 9836, 10386, 267, 6777, 4252, 10386, 267, 4431, 550, 9141, 10386, 563, 1103, 519, 1101, 851, 540, 519, 1576, 267, 2035, 593, 10386, 786, 581, 12649, 543, 786, 3382, 454, 272, 269, 4985, 547, 10386, 912, 272, 269, 272, 269, 1548, 2306, 513, 1434, 3732, 286, 19047, 827, 2099, 520, 4369, 267, 5007, 543, 4835, 14496, 3248, 272, 269, 273, 269, 6341, 7204, 543, 1875, 1606, 600, 7204, 6959, 281, 4351, 6959, 267, 9186, 543, 1476, 895, 619, 563, 273, 269, 3245, 8888, 513, 1434, 3732, 547, 7446, 10386, 4559, 912, 273, 269, 272, 269, 5871, 3732, 6272, 538, 27496, 543, 2101, 2934, 281, 2241, 4351, 10386, 267, 14404, 1881, 10386, 267, 844, 7974, 10386, 267, 12440, 10386, 267, 9836, 10386, 267, 6777, 4252, 10386, 267, 4431, 550, 9141, 10386, 3248, 5475, 17265, 519, 9115, 1657, 5018, 267, 649, 786, 1445, 593, 875, 547, 1374, 2500, 10386, 2994, 267, 1775, 4318, 267, 875, 547, 979, 689, 519, 7811, 10386, 5650, 547, 2731, 3478, 519, 2596, 3732, 4559, 2877, 547, 2626, 519, 1382, 2243, 269, 4935, 267, 649, 786, 1445, 593, 912, 274, 269, 3903, 540, 10386, 14604, 543, 10386, 4559, 2687, 547, 513, 2016, 1826, 540, 3732, 267, 8600, 2361, 960, 630, 324, 3052, 1421, 8600, 8261, 338, 585, 10018, 532, 602, 1346, 10655, 1239, 616, 2111, 547, 2824, 519, 645, 24746, 609, 513, 5934, 9186, 2009, 563, 15411, 2394, 4098, 540, 5181, 476, 1001, 278, 630, 15905, 1297, 540, 7477, 17473, 1916, 10743, 1058, 723, 1991, 1702, 593, 2010, 540, 5439, 543, 741, 2596, 1374, 543, 593, 19106, 540, 3732, 2450, 563, 10743, 1058, 581, 21295, 538, 2296, 610, 14082, 563, 25583, 540, 2296, 15334, 4397, 281, 9215, 9128, 299, 1449, 6060, 476, 22659, 2780, 2861, 610, 476, 20862, 1957, 2861, 610, 476, 8064, 268, 3199, 4950, 2861, 610, 28568, 6512, 476, 277, 269, 271, 563, 10743, 15861, 547, 513, 5398, 7070, 1644, 9457, 779, 23422, 19510, 949, 6443, 713, 1576, 630, 324, 3052, 269, 21050, 10955, 8416, 1040 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 912, 825, 1948, 453, 453, 258, 674, 9229, 610, 16309, 910, 798, 1945, 827, 621, 454, 825, 1948, 28432, 912, 825, 1948, 453, 453, 258, 15822, 12122, 910, 798, 1945, 1114, 827, 621, 454, 825, 7575, 815, 1496, 454, 2018, 1496, 2903, 25292, 267, 834, 303, 257, 16689, 2018, 1496, 684, 2903, 25292, 267, 834, 307, 257, 16689, 2018, 1496, 29589, 16689, 2018, 1496, 2903, 25292, 267, 834, 307, 257, 3910, 3097, 2018, 1496, 684, 2903, 25292, 267, 834, 303, 257, 16689, 2018, 1496, 1873, 777, 25292, 267, 834, 307, 257, 16689, 2018, 1496, 1873, 777, 25292, 267, 834, 303, 257, 16689, 1038, 23378, 825, 3193, 5091, 3704, 815, 7003, 27331, 14285, 264, 1341, 476, 272, 454, 825, 1219, 7936, 263, 9690, 318, 29674, 267, 3493, 628, 2187, 1038, 1699, 815, 1699, 318, 29674, 314, 271, 2639, 1038, 700, 815, 1699, 318, 29674, 314, 272, 2639, 1038, 952, 3493, 628, 13843, 3193, 5091, 3704, 912, 2018, 2132, 1699, 318, 29674, 454, 1038, 7058, 525, 815, 11713, 1038, 9041, 332, 7174, 815, 7575, 11468, 2639, 1038, 1948, 1403, 972, 616, 7575, 267, 1577, 781, 4894, 519, 3283, 602, 1118, 1100, 2631, 563, 1038, 1948, 26759, 1810, 1405, 3444, 267, 1287, 3444, 267, 1287, 3444, 563, 1038, 1948, 31798, 1015, 454, 1038, 952, 1699, 912, 2018, 952, 1699, 15631, 272, 316, 2652, 1496, 29589, 14158, 3546, 9041, 332, 7174, 31927, 8443, 29589, 7481, 2018, 952, 1699, 15631, 272, 6012, 271, 316, 2652, 23396, 25292, 912, 3546, 9041, 332, 7174, 31927, 8443, 1873, 777, 25292, 267, 1699, 15631, 272, 6012, 272, 316, 7481, 2018, 952, 4425, 520, 269, 2515, 2652, 476, 271, 912, 3546, 9041, 332, 7174, 31927, 8443, 684, 2903, 25292, 267, 834, 307, 257, 7481, 3546, 9041, 332, 7174, 6910, 8443, 684, 2903, 25292, 267, 834, 307, 257, 7481, 2018, 952, 4425, 520, 269, 2515, 2652, 476, 272, 912, 3546, 9041, 332, 7174, 31927, 8443, 684, 2903, 25292, 267, 834, 303, 257, 7481, 3546, 9041, 332, 7174, 6910, 8443, 684, 2903, 25292, 267, 834, 303, 257, 7481, 1038, 585, 1847, 538, 9041, 332, 7174, 912, 2018, 1007, 318, 29674, 815, 1699, 11468, 2639, 2018, 1007, 318, 29674, 6910, 9852, 913, 994, 2018, 952, 1847, 11203, 1496, 29589, 14158, 3546, 1544, 815, 14840, 23945, 28956, 318, 29674, 267, 19382, 267, 9406, 267, 4425, 520, 267, 7982, 1575, 994, 2018, 3116, 912, 3546, 1544, 815, 476, 271, 454, 2018, 952, 1544, 2652, 476, 271, 912, 3546, 1699, 318, 29674, 815, 7936, 8443, 2908, 318, 29674, 267, 7003, 27331, 14285, 264, 3910, 3493, 628, 1341, 476, 272, 994, 3546, 952, 1699, 318, 29674, 314, 272, 316, 11203, 910, 272, 912, 7386, 7058, 525, 6910, 263, 9690, 318, 29674, 994, 3546, 3116, 912, 7386, 2132, 1699, 318, 29674, 454, 2018, 8640, 1544, 2652, 476, 272, 912, 3546, 2132, 1496, 2908, 318, 29674, 267, 910, 272, 2639, 1038, 1655, 815, 1496, 9690, 267, 476, 1911, 271, 2639, 1038, 585, 7058, 538, 7058, 525, 912, 2018, 952, 7058, 314, 272, 316, 2999, 1655, 314, 272, 14158, 3546, 1655, 815, 7058, 454, 1038, 2132, 1655, 454, 825, 7058, 815, 20886, 3910, 476, 271, 2639, 825, 2025, 318, 29674, 815, 7058, 454, 825, 1247, 7058, 314, 272, 316, 11203, 910, 272, 912, 1038, 7058, 815, 7936, 263, 29674, 267, 476, 271, 994, 1038, 952, 7058, 11203, 2025, 318, 29674, 912, 2018, 2025, 318, 29674, 815, 7058, 454, 1038, 3116, 912, 2018, 695, 28984, 9852, 7174, 994, 825, 2518, 1544, 454, 825, 1544, 815, 7058, 314, 271, 6540, 825, 2132, 476, 272, 476, 1948, 1411, 786, 991, 547, 1689, 713, 540, 1576, 910, 11214, 780, 3698, 14840, 23945, 4433, 727, 318, 17839, 267, 29381, 267, 14738, 32390, 13331, 267, 12988, 1575, 2187, 825, 8173, 825, 13079, 1393, 519, 1699, 4971, 5311, 910, 593, 513, 2973, 3014, 1533, 692, 825, 1403, 519, 4971, 5311, 1281, 711, 2014, 606, 22247, 12122, 267, 713, 1599, 786, 454, 825, 2132, 912, 2018, 476, 271, 453, 268, 476, 453, 2252, 519, 3014, 1533, 568, 711, 513, 3070, 454, 2018, 476, 272, 453, 268, 476, 453, 2252, 519, 3014, 1533, 568, 513, 3070, 454, 825, 19227, 519, 1599, 7024, 910, 272, 454, 825, 8173, 825, 2518, 13290, 692, 825, 19268, 14682, 877, 27331, 14285, 267, 14738, 32390, 13331, 267, 12988, 1575, 2020, 825, 13290, 284, 339, 1845, 266, 272, 692, 825, 952, 7003, 4433, 727, 318, 17839, 264, 2525, 271, 281, 453, 453, 258, 19461, 8900, 1544, 454, 1038, 2132, 476, 271, 692, 825, 585, 1775, 538, 2039, 12759, 4433, 727, 318, 17839, 15892, 1038, 952, 630, 16341, 318, 17839, 5157, 6012, 271, 316, 2525, 29589, 2187, 2018, 586, 284, 16341, 318, 17839, 5157, 6012, 271, 28488, 289, 13331, 994, 1038, 3116, 912, 2018, 586, 284, 16341, 318, 17839, 5157, 6012, 271, 28488, 16341, 318, 17839, 5157, 6012, 272, 3910, 29381, 267, 14738, 32390, 13331, 994, 2018, 1535, 284, 13765, 26077, 27331, 14285, 267, 14738, 32390, 13331, 994, 2018, 952, 1535, 2525, 268, 272, 610, 586, 2525, 271, 912, 3546, 2132, 910, 272, 453, 258, 11778, 538, 606, 22247, 12122, 692, 2018, 952, 1535, 2525, 272, 912, 3546, 1820, 834, 11405, 1336, 29755, 2698, 13290, 284, 2580, 339, 1845, 2437, 1544, 3259, 284, 2580, 6352, 4433, 727, 318, 17839, 994, 3546, 2132, 476, 272, 454, 825, 2132, 476, 271, 692, 604, 6449, 4067, 1029, 2525, 257, 1029, 10852, 1029, 257, 1384, 825, 19382, 318, 306, 728, 284, 4289, 4590, 825, 9406, 318, 306, 728, 284, 4289, 4590, 825, 19382, 318, 12988, 1575, 284, 4289, 4590, 825, 13290, 284, 271, 454, 825, 4425, 520, 284, 577, 531, 1575, 320, 10797, 825, 3355, 1125, 14682, 877, 263, 274, 267, 274, 267, 29381, 318, 306, 728, 264, 476, 1948, 2999, 734, 2659, 3070, 1058, 960, 609, 476, 274, 27683, 267, 476, 274, 1004, 2336, 825, 19382, 318, 12988, 1575, 284, 4289, 27331, 14285, 318, 306, 728, 264, 453, 258, 2999, 734, 594, 1223, 556, 2987, 527, 658, 1125, 267, 855, 1946, 711, 1175, 1118, 513, 5299, 2496, 825, 1544, 284, 4289, 3890, 453, 258, 3371, 256, 594, 6415, 4758, 596, 606, 8900, 1544, 256, 2549, 594, 3502, 30330, 3814, 888, 7386, 1948, 630, 604, 596, 1810, 1405, 1205, 602, 267, 596, 10093, 1405, 2938, 3794, 14508, 1807, 2020, 825, 1948, 11910, 707, 3406, 3009, 547, 1628, 519, 3070, 547, 713, 1966, 454, 825, 9612, 2690, 23945, 263, 17839, 267, 29381, 318, 306, 728, 267, 14738, 318, 306, 728, 32390, 13331, 267, 29381, 318, 12988, 1575, 2020, 825, 1948, 1284, 723, 513, 3070, 256, 1577, 781, 2196, 621, 543, 1294, 875, 621, 1568, 454, 825, 19268, 14682, 877, 27331, 14285, 318, 306, 728, 267, 14738, 318, 306, 728, 32390, 13331, 267, 29381, 318, 12988, 1575, 994, 825, 1820, 834, 29381, 17121, 453, 453, 289, 13331, 4848, 453, 14738, 17121, 4840, 825, 585, 1775, 538, 2039, 12759, 263, 17839, 15892, 1038, 952, 1544, 5157, 6012, 271, 316, 2525, 29589, 912, 2018, 1820, 834, 15899, 532, 30882, 2018, 1544, 5157, 6012, 271, 28488, 289, 13331, 994, 1038, 3116, 912, 2018, 1544, 5157, 6012, 271, 28488, 17839, 5157, 6012, 272, 3910, 29381, 318, 306, 728, 267, 14738, 318, 306, 728, 32390, 13331, 994, 1038, 952, 4425, 520, 269, 2515, 2525, 271, 912, 2018, 1820, 19382, 318, 306, 728, 2437, 453, 2580, 289, 13331, 269, 4186, 757, 2437, 4848, 453, 2580, 14738, 318, 306, 728, 454, 1038, 3116, 912, 2018, 1820, 19382, 318, 306, 728, 2437, 4848, 453, 2580, 289, 13331, 269, 4186, 757, 2437, 453, 2580, 14738, 318, 306, 728, 692, 825, 1820, 834, 291, 821, 15323, 0, 19399, 10310, 5992, 2162, 454, 16482, 258, 11483, 290, 667, 10019, 910, 589, 276, 910, 22532, 17978, 585, 8760, 454, 16482, 258, 2659, 512, 553, 1934, 568, 547, 2936, 519, 4834, 543, 6620, 454, 258, 2838, 547, 5721, 513, 22532, 8416, 547, 1685, 8760, 454, 258, 540, 1688, 27787, 9704, 269, 634, 3804, 568, 547, 7794, 707, 454, 258, 1620, 540, 454, 16482, 258, 8416, 2497, 454, 258, 16376, 268, 3453, 26398, 454, 258, 18438, 19106, 454, 258, 18438, 1394, 1790, 1886, 698, 566, 454, 16482, 258, 2659, 3009, 786, 581, 1572, 676, 22532, 301, 1115, 6831, 648, 318, 21923, 454, 258, 1282, 2866, 543, 4152, 563, 16482, 258, 1411, 723, 1569, 547, 519, 1739, 2518, 1239, 630, 718, 454, 258, 4776, 12089, 676, 1412, 10468, 1116, 301, 1115, 318, 29514, 12774, 9538, 12467, 16482, 258, 715, 318, 719, 453, 453, 268, 7089, 540, 3977, 11409, 630, 821, 829, 454, 258, 4449, 7857, 538, 713, 2013, 267, 865, 713, 568, 6378, 454, 258, 4848, 476, 693, 476, 1015, 267, 9704, 616, 476, 271, 547, 476, 280, 994, 258, 715, 18425, 453, 453, 268, 7089, 540, 11378, 269, 6226, 1080, 538, 938, 454, 258, 4848, 476, 1966, 2874, 540, 513, 5119, 540, 454, 258, 4848, 476, 476, 279, 343, 279, 19641, 267, 865, 476, 5038, 11378, 7132, 476, 272, 454, 258, 4848, 476, 585, 519, 9186, 2165, 815, 476, 4792, 454, 258, 715, 20189, 5200, 453, 268, 7089, 540, 6456, 2000, 9707, 4559, 269, 3097, 258, 4848, 476, 649, 786, 5721, 5121, 609, 3097, 258, 4848, 476, 1114, 2338, 540, 4559, 269, 6423, 454, 258, 4848, 476, 519, 29187, 18306, 11053, 311, 307, 585, 811, 3877, 454, 258, 4848, 476, 8074, 602, 519, 4890, 1297, 540, 3097, 258, 4848, 476, 11409, 568, 715, 20189, 5200, 268, 272, 267, 855, 649, 723, 454, 258, 4848, 476, 835, 3063, 7127, 585, 519, 9186, 2165, 2336, 258, 13672, 453, 453, 268, 634, 3060, 781, 1565, 2557, 269, 5590, 676, 454, 258, 4848, 476, 519, 22532, 301, 1115, 318, 8181, 3890, 1599, 563, 258, 521, 580, 25292, 453, 268, 7392, 540, 521, 10176, 18042, 1599, 547, 946, 2676, 258, 4848, 476, 476, 271, 9847, 26848, 267, 476, 272, 9847, 16009, 327, 454, 16482, 258, 654, 318, 1470, 453, 453, 268, 1280, 5121, 609, 12971, 6456, 4494, 2676, 258, 4848, 476, 713, 3947, 519, 12035, 8220, 454, 258, 4848, 476, 11378, 547, 3977, 11409, 563, 258, 4848, 476, 901, 5044, 568, 540, 2450, 630, 301, 18425, 267, 715, 318, 719, 994, 258, 4848, 476, 543, 654, 318, 1470, 9217, 25814, 264, 3947, 519, 2597, 454, 258, 4848, 476, 8220, 3403, 1775, 547, 3977, 795, 454, 16482, 258, 654, 318, 8811, 453, 453, 268, 1280, 5121, 609, 6456, 4494, 267, 3097, 258, 4848, 476, 713, 3568, 519, 12035, 16046, 454, 258, 4848, 476, 11378, 547, 6456, 4494, 11409, 563, 258, 4848, 476, 519, 818, 787, 814, 2450, 630, 301, 18425, 267, 715, 20189, 5200, 268, 272, 994, 258, 4848, 476, 630, 300, 18853, 519, 910, 272, 26695, 16482, 258, 654, 318, 14833, 453, 453, 268, 1280, 5121, 609, 6456, 4494, 2676, 258, 4848, 476, 713, 3947, 519, 12035, 8220, 454, 258, 4848, 476, 11409, 538, 519, 6456, 4494, 547, 454, 258, 4848, 476, 4559, 538, 519, 3977, 4494, 269, 634, 454, 258, 4848, 476, 5044, 568, 540, 2450, 630, 301, 20189, 5200, 267, 715, 318, 719, 994, 258, 3097, 258, 1684, 711, 1039, 1022, 3606, 2518, 1239, 563, 16482, 258, 853, 6621, 3009, 281, 674, 12282, 9950, 269, 3057, 269, 476, 1001, 274, 267, 21213, 3967, 269, 476, 1001, 275, 454, 19399, 10310, 5992, 1012, 692, 5814, 22532, 301, 1115, 318, 29514, 12774, 607, 575, 11907, 454, 5814, 4351, 454, 5814, 2979, 454, 5228, 11885, 1104, 2608, 692, 3698, 521, 31451, 3287, 2187, 825, 952, 630, 326, 11907, 4732, 580, 25292, 2187, 1038, 2132, 6025, 534, 1506, 335, 3287, 4917, 825, 3116, 912, 1038, 2132, 263, 8421, 2065, 3287, 11723, 3698, 26848, 3287, 2187, 825, 2132, 630, 272, 269, 271, 19422, 272, 269, 271, 1341, 2979, 4318, 2878, 11196, 343, 11723, 3698, 16009, 1506, 335, 3287, 2187, 825, 2132, 2979, 6745, 534, 327, 3287, 2020, 3698, 521, 31451, 318, 18905, 5416, 2187, 825, 952, 630, 326, 11907, 4732, 580, 25292, 2187, 1038, 2132, 476, 272, 269, 271, 910, 513, 1262, 273, 454, 825, 3116, 912, 1038, 2132, 513, 2608, 630, 272, 910, 513, 2020, 3698, 16376, 2690, 1189, 9272, 5334, 2217, 2187, 19399, 10310, 5992, 1012, 454, 258, 901, 1599, 1939, 525, 519, 3049, 268, 3453, 11852, 540, 454, 258, 1142, 22813, 538, 519, 3060, 269, 3097, 16482, 258, 1280, 5121, 609, 1100, 6456, 4494, 267, 519, 3049, 268, 3453, 1780, 454, 258, 568, 3551, 269, 634, 3403, 3732, 2907, 3568, 782, 454, 258, 519, 1344, 596, 991, 630, 10175, 519, 9186, 2165, 1916, 16482, 258, 1280, 5121, 609 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 9612, 676, 13445, 692, 2971, 8249, 28562, 609, 7089, 3069, 2147, 547, 2372, 6758, 1384, 23742, 614, 676, 281, 12474, 1826, 912, 25111, 912, 20806, 3188, 1377, 1384, 2162, 1703, 616, 476, 2420, 2164, 692, 289, 5802, 11762, 3436, 10606, 543, 519, 7089, 3590, 3436, 7089, 3069, 692, 2162, 11408, 17828, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 17004, 602, 952, 596, 1039, 476, 272, 547, 519, 1587, 540, 2185, 15654, 2338, 519, 2626, 568, 9338, 310, 17751, 306, 513, 3501, 4009, 780, 2162, 19940, 7089, 18868, 966, 692, 7462, 8609, 281, 476, 275, 543, 476, 276, 692, 763, 3803, 540, 2947, 4930, 799, 2270, 324, 519, 6169, 540, 1946, 519, 5311, 5189, 538, 2376, 10001, 2901, 10301, 519, 6378, 1448, 476, 271, 610, 519, 5311, 13788, 513, 18110, 4783, 540, 2185, 2418, 780, 2162, 8550, 11788, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 2252, 513, 1079, 7857, 1297, 814, 922, 9704, 20328, 543, 519, 4130, 540, 519, 1079, 2338, 568, 10208, 539, 689, 519, 3677, 267, 6961, 519, 3017, 666, 2760, 581, 6305, 780, 2162, 19940, 7089, 18868, 4083, 692, 7462, 8609, 281, 476, 275, 543, 476, 276, 692, 1607, 2376, 11498, 519, 5717, 538, 834, 2662, 1961, 1297, 6384, 594, 2668, 8033, 5224, 519, 6169, 602, 267, 585, 782, 4358, 2798, 267, 519, 8414, 7089, 5311, 4422, 883, 513, 8520, 610, 5321, 538, 593, 513, 6378, 1448, 780, 2162, 1703, 781, 513, 23423, 692, 7462, 8609, 281, 476, 275, 543, 476, 276, 7420, 5426, 1384, 18439, 519, 4797, 6824, 281, 476, 273, 266, 274, 14370, 273, 266, 274, 14370, 273, 266, 274, 270, 273, 266, 1862, 4297, 1548, 798, 596, 5469, 950, 20422, 2474, 616, 3144, 286, 1548, 4523, 547, 519, 2474, 952, 519, 6824, 4422, 593, 22543, 17802, 2496, 2162, 25586, 781, 8293, 4100, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 292, 17526, 1336, 2185, 2898, 2338, 971, 602, 519, 2040, 540, 1022, 1079, 540, 519, 2338, 568, 513, 3501, 4009, 13718, 2162, 4144, 2684, 14932, 715, 2389, 340, 1255, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 4692, 596, 2491, 1946, 513, 5311, 540, 4238, 2141, 3947, 596, 3501, 10945, 2496, 2162, 19940, 7089, 18868, 8633, 692, 7462, 8609, 281, 476, 275, 543, 476, 276, 692, 1103, 713, 3791, 540, 2947, 4930, 649, 6961, 602, 8726, 2898, 1297, 649, 1376, 609, 585, 519, 8414, 7089, 5311, 649, 786, 2141, 1439, 909, 609, 930, 1305, 540, 2338, 1373, 7368, 936, 543, 936, 1586, 780, 2162, 18103, 1229, 590, 4548, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 4131, 513, 3799, 264, 581, 519, 1297, 540, 2081, 540, 11589, 519, 8870, 562, 607, 606, 10288, 2040, 540, 476, 272, 781, 543, 476, 273, 781, 269, 2913, 536, 3799, 264, 581, 519, 1297, 540, 2081, 540, 11589, 562, 607, 606, 10288, 2040, 540, 9981, 3152, 982, 476, 272, 269, 630, 328, 264, 12433, 269, 1547, 1547, 16317, 2162, 7089, 16390, 910, 15528, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 4692, 596, 18609, 803, 540, 1142, 540, 519, 1739, 281, 1403, 513, 4009, 1297, 568, 16611, 676, 513, 4009, 1297, 519, 1587, 568, 9338, 310, 17751, 306, 513, 4009, 1297, 13718, 2162, 589, 9741, 8752, 15154, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 2080, 568, 513, 3684, 609, 2185, 25549, 8279, 269, 2052, 596, 1118, 1079, 8279, 6467, 593, 693, 2899, 286, 8422, 8279, 286, 2353, 2185, 8279, 2496, 2162, 2859, 3057, 7632, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 296, 1376, 609, 513, 2699, 267, 513, 4544, 267, 513, 3039, 543, 513, 5835, 18899, 269, 594, 666, 4123, 1022, 540, 1250, 27371, 585, 1614, 1866, 267, 835, 540, 1142, 7990, 269, 2052, 594, 1439, 909, 609, 4010, 1079, 27371, 540, 1142, 7990, 2496, 2162, 26419, 6004, 269, 20607, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 12893, 317, 273, 815, 630, 8099, 1535, 476, 6344, 264, 1341, 476, 1839, 267, 602, 568, 476, 15171, 1839, 476, 279, 4817, 317, 273, 815, 630, 279, 3445, 1535, 476, 12010, 264, 1341, 476, 1839, 267, 602, 568, 476, 3199, 272, 28276, 2052, 596, 2491, 1018, 568, 8345, 543, 2489, 1047, 2496, 2162, 589, 2290, 538, 18599, 26554, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 1432, 568, 519, 14230, 950, 476, 273, 3867, 13932, 348, 529, 5258, 676, 476, 278, 2496, 2162, 3057, 7632, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 296, 1376, 609, 513, 2699, 267, 513, 3039, 543, 513, 4544, 18899, 269, 594, 666, 4123, 1022, 540, 1250, 27371, 585, 1079, 1866, 267, 835, 540, 1142, 7990, 269, 2052, 594, 1439, 909, 609, 2947, 811, 4544, 27371, 982, 2699, 1310, 513, 1297, 540, 971, 23194, 2496, 2162, 20212, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 4692, 596, 10018, 602, 267, 585, 1022, 1614, 2338, 596, 3442, 267, 519, 1587, 540, 741, 3604, 786, 2141, 581, 606, 1256, 1297, 2496, 2162, 1215, 13518, 2052, 1284, 1975, 754, 2496, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 288, 2197, 814, 4956, 547, 723, 1175, 1079, 1114, 11113, 267, 476, 274, 345, 543, 476, 276, 345, 11113, 269, 6904, 9103, 1023, 666, 581, 1500, 286, 1772, 972, 513, 4102, 2698, 602, 3112, 581, 1500, 286, 1215, 798, 596, 917, 2496, 2162, 5437, 880, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 320, 264, 589, 2185, 7857, 1297, 630, 514, 3490, 476, 1015, 264, 513, 13741, 568, 513, 3501, 4009, 269, 9181, 2081, 540, 18928, 4466, 713, 1297, 269, 630, 321, 264, 28171, 602, 476, 1556, 3867, 1015, 18511, 272, 568, 16883, 676, 476, 1911, 780, 2162, 4578, 932, 16218, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 10574, 568, 2366, 538, 25098, 540, 1079, 1114, 7306, 910, 513, 5835, 32004, 814, 476, 276, 3197, 543, 513, 4544, 32004, 814, 476, 280, 3197, 269, 589, 1239, 18921, 540, 2450, 476, 4029, 3112, 581, 4010, 4904, 609, 513, 4999, 540, 5835, 543, 269, 1547, 1547, 16317, 2162, 24796, 781, 1230, 915, 675, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 13900, 523, 1500, 519, 28756, 675, 602, 834, 22336, 2789, 540, 3670, 814, 811, 2188, 982, 519, 1079, 2338, 2901, 2427, 540, 621, 2668, 1772, 713, 28756, 675, 3020, 2496, 2162, 7316, 2052, 1284, 16731, 2496, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 13142, 12340, 543, 2806, 328, 2322, 513, 4831, 593, 476, 5655, 269, 1358, 9289, 952, 789, 1223, 3643, 782, 519, 824, 2338, 593, 741, 476, 272, 268, 1911, 4604, 267, 3001, 519, 4831, 1210, 1175, 891, 1079, 4238, 281, 1535, 273, 543, 910, 276, 269, 1548, 798, 596, 1589, 2496, 2162, 5899, 1052, 10606, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 5472, 9490, 2338, 616, 6305, 269, 5272, 835, 7857, 6305, 1297, 568, 9490, 543, 513, 1297, 540, 1079, 610, 811, 9704, 568, 9490, 952, 543, 1152, 952, 865, 616, 519, 1079, 2338, 5833, 689, 621, 676, 522, 2466, 1154, 2901, 269, 1547, 1547, 1547, 0, 258, 28116, 476, 272, 268, 273, 268, 274, 692, 24280, 519, 4320, 543, 2627, 1858, 540, 519, 13306, 13235, 291, 9128, 21203, 952, 912, 320, 264, 1315, 5723, 270, 815, 476, 275, 4699, 454, 321, 264, 15943, 540, 3774, 13235, 291, 568, 476, 2420, 4699, 454, 322, 264, 519, 2040, 540, 519, 13080, 540, 782, 8728, 540, 519, 13306, 568, 476, 1789, 4699, 780, 28557, 1267, 1384, 309, 272, 815, 476, 1109, 5038, 4699, 274, 454, 306, 272, 815, 476, 1109, 9834, 4699, 273, 454, 309, 273, 815, 476, 1109, 14917, 269, 23841, 4699, 274, 454, 306, 273, 815, 476, 1109, 8687, 269, 276, 4699, 273, 454, 309, 274, 815, 476, 1109, 1428, 269, 27698, 4699, 274, 454, 306, 274, 815, 476, 1109, 4391, 269, 276, 4699, 273, 692, 2971, 8827, 1384, 2171, 1131, 581, 20938, 952, 596, 1265, 606, 5470, 538, 519, 2262, 1966, 267, 10259, 9073, 267, 610, 538, 3147, 340, 20874, 543, 6494, 621, 547, 721, 269, 11289, 596, 2439, 19522, 547, 1644, 2228, 26732, 454, 31738, 281, 3776, 4320, 4559, 20303, 786, 948, 596, 609, 519, 7503, 540, 4320, 4559, 780, 1012, 8921, 2147, 2979, 2042, 1384, 1892, 634, 3490, 476, 273, 454, 763, 3490, 8006, 540, 513, 1318, 13409, 568, 476, 1626, 9492, 543, 621, 781, 1793, 656, 4463, 568, 476, 1321, 9492, 269, 589, 269, 3738, 4855, 519, 13902, 4463, 540, 519, 13409, 547, 476, 272, 8918, 1747, 269, 645, 269, 3738, 4855, 519, 4320, 540, 519, 13409, 267, 6460, 547, 476, 274, 1713, 4137, 269, 6875, 2650, 815, 274, 269, 1691, 454, 1892, 634, 21641, 454, 5475, 8375, 676, 476, 2412, 9077, 519, 21641, 1942, 476, 1015, 269, 2004, 20789, 338, 269, 1215, 1454, 1705, 713, 21641, 1942, 952, 621, 2799, 538, 3902, 676, 1152, 476, 736, 260, 3079, 540, 476, 2412, 260, 888, 1892, 7981, 1560, 454, 6781, 913, 1142, 3774, 540, 513, 13306, 609, 606, 6316, 513, 815, 476, 1789, 4699, 267, 513, 2834, 29105, 18158, 609, 513, 4463, 540, 476, 1428, 4699, 568, 9112, 269, 4855, 519, 4320, 540, 519, 4611, 1560, 563, 1892, 28116, 11149, 454, 3725, 2897, 519, 1079, 13306, 11057, 11149, 609, 476, 271, 269, 279, 546, 332, 543, 476, 271, 269, 277, 546, 332, 8728, 609, 513, 2582, 13306, 11057, 835, 865, 602, 621, 814, 519, 1482, 4320, 607, 519, 1079, 3312, 3283, 1927, 269, 1548, 568, 519, 3259, 540, 519, 6316, 540, 713, 13306, 888, 1892, 7351, 538, 519, 18364, 454, 24280, 519, 1699, 538, 519, 18364, 630, 514, 544, 288, 264, 952, 621, 568, 4448, 547, 513, 476, 275, 269, 276, 966, 6453, 2707, 543, 922, 4187, 568, 476, 736, 630, 2129, 332, 1916, 1892, 634, 15941, 454, 1432, 568, 519, 4187, 540, 513, 27129, 17689, 950, 621, 568, 4448, 547, 513, 476, 280, 309, 6007, 543, 814, 513, 1699, 540, 476, 6344, 544, 288, 888, 1892, 17897, 531, 9042, 454, 763, 11332, 2968, 14949, 593, 519, 12119, 9042, 676, 476, 2420, 9077, 799, 568, 476, 6434, 20789, 338, 269, 2311, 1018, 3902, 568, 621, 4421, 1631, 888, 1892, 1323, 20987, 454, 2304, 20987, 13733, 476, 13893, 271, 5998, 538, 476, 273, 476, 272, 270, 275, 3108, 269, 1548, 568, 922, 3328, 3432, 538, 5998, 829, 5662, 888, 1892, 476, 6344, 10808, 454, 19667, 728, 476, 6344, 10808, 538, 513, 5223, 540, 476, 275, 281, 476, 277, 563, 1892, 5565, 15945, 454, 1103, 1079, 1114, 15945, 267, 519, 1482, 1236, 529, 1185, 519, 1482, 3902, 269, 769, 519, 1101, 267, 2705, 267, 789, 1101, 2968, 811, 7199, 676, 476, 736, 260, 543, 1287, 14949, 676, 476, 276, 10065, 769, 519, 2034, 267, 789, 941, 1101, 14949, 676, 476, 276, 260, 543, 1287, 811, 7199, 676, 476, 1789, 9077, 865, 1310, 891, 11941, 538, 519, 454, 1892, 570, 592, 2354, 454, 8170, 519, 476, 6344, 32482, 2354, 538, 519, 4677, 267, 476, 3393, 616, 2699, 267, 476, 5780, 616, 5835, 267, 519, 1964, 616, 1490, 26295, 269, 1548, 6871, 540, 32482, 2354, 538, 519, 4677, 616, 1490, 26295, 888, 1892, 476, 1691, 1296, 454, 298, 5451, 10937, 568, 476, 1691, 1296, 2025, 269, 16474, 476, 4510, 269, 1215, 1082, 1296, 786, 3158, 581, 476, 275, 2053, 4587, 888, 1892, 19933, 679, 5145, 956, 454, 275, 7544, 679, 5145, 956, 941, 15472, 693, 519, 13037, 269, 7183, 1185, 1447, 982, 476, 1015, 543, 811, 982, 476, 736, 2818, 269, 2353, 25249, 689, 930, 540, 519, 1079, 679, 5145, 956, 941, 6719, 538, 1142, 7544, 269, 3689, 267, 476, 4029, 5171, 941, 593, 519, 3942, 267, 1287, 476, 3953, 267, 476, 4097, 267, 476, 3374, 267, 476, 4391, 267, 543, 476, 4343, 269, 1215, 1082, 546, 4545, 454, 1892, 15051, 609, 5036, 454, 763, 1305, 645, 910, 589, 814, 7466, 607, 7864, 2609, 982, 519, 1305, 589, 910, 645, 543, 2185, 2053, 7864, 2609, 982, 519, 1305, 589, 3980, 358, 645, 269, 1215, 1082, 2053, 811, 2609, 1281, 519, 1305, 589, 723, 982, 519, 1305, 645, 888, 1892, 16265, 24219, 5036, 454, 2690, 1079, 5036, 918, 267, 700, 568, 3020, 281, 918, 814, 476, 1789, 2609, 267, 700, 814, 476, 2767, 2609, 543, 519, 1305, 700, 910, 918, 814, 476, 2420, 2609, 269, 1215, 1082, 2609, 1281, 519, 1305, 918, 910, 700, 723, 888, 1892, 12384, 10651, 454, 763, 12202, 12733, 609, 7516, 540, 476, 5197, 544, 543, 476, 4968, 544, 568, 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 ]
[ 2320, 730, 780, 6546, 1767, 267, 594, 1336, 519, 476, 1015, 547, 476, 1911, 271, 7447, 9670, 780, 763, 1268, 6998, 519, 2243, 18387, 1405, 2938, 519, 3529, 269, 1261, 568, 8806, 16116, 835, 856, 540, 519, 18137, 780, 306, 599, 513, 3529, 814, 476, 1911, 13212, 269, 22067, 3735, 15489, 1022, 13212, 786, 2887, 267, 547, 4557, 267, 547, 835, 267, 543, 1287, 547, 9039, 780, 763, 1249, 602, 8723, 11945, 4054, 3921, 27274, 723, 1100, 13212, 693, 2547, 12651, 519, 7872, 780, 271, 547, 476, 1911, 271, 13212, 1131, 6157, 581, 2953, 269, 6904, 568, 1018, 649, 1616, 780, 1692, 1082, 9489, 616, 538, 1250, 23129, 286, 630, 296, 10093, 1405, 6743, 24355, 257, 262, 296, 5213, 1405, 5700, 262, 257, 568, 513, 4143, 25627, 2022, 1384, 314, 6021, 281, 6349, 316, 2473, 281, 875, 1082, 13212, 616, 538, 513, 3529, 3544, 2496, 314, 6021, 281, 6349, 316, 2473, 281, 1775, 4312, 2760, 2938, 621, 543, 9444, 723, 596, 692, 314, 6021, 281, 6349, 316, 4432, 773, 10045, 281, 476, 1015, 547, 476, 1911, 271, 692, 296, 1810, 1405, 917, 1018, 621, 568, 267, 4010, 267, 827, 602, 5385, 1862, 855, 594, 723, 513, 2864, 11877, 532, 5114, 547, 621, 269, 594, 1611, 267, 621, 4667, 10169, 1862, 594, 1810, 1405, 917, 519, 2165, 267, 14669, 2501, 14191, 855, 9090, 3884, 1405, 2953, 282, 607, 1498, 950, 2576, 1202, 1235, 593, 1210, 10230, 6114, 547, 513, 3948, 834, 514, 1931, 547, 2061, 10539, 257, 543, 1287, 8098, 1080, 602, 3257, 865, 568, 607, 2693, 547, 16578, 10539, 4534, 1134, 267, 621, 4667, 899, 971, 513, 3364, 568, 2864, 1875, 1922, 8816, 995, 780, 3674, 621, 2731, 865, 2182, 547, 2161, 834, 2467, 568, 13385, 1239, 585, 513, 6209, 16253, 257, 2496, 1692, 1281, 27378, 519, 4267, 1039, 547, 519, 1964, 540, 519, 5619, 2496, 2005, 781, 513, 23363, 1449, 267, 799, 568, 630, 3467, 610, 1447, 264, 513, 1449, 540, 875, 1134, 596, 9794, 519, 6111, 540, 707, 7058, 525, 269, 1215, 4977, 707, 7058, 3294, 729, 568, 711, 1271, 1934, 4849, 950, 24565, 538, 519, 1769, 540, 519, 6015, 1377, 596, 8655, 547, 519, 476, 1428, 26188, 3887, 2416, 17574, 6015, 8884, 780, 2750, 1061, 585, 1004, 945, 5949, 547, 723, 519, 1032, 540, 1496, 1042, 716, 539, 2680, 316, 8357, 1242, 267, 3025, 781, 2626, 547, 519, 1101, 540, 891, 1079, 2055, 729, 513, 7058, 269, 2368, 1004, 781, 7058, 525, 941, 811, 13473, 982, 1866, 267, 855, 519, 1271, 851, 568, 711, 519, 6111, 540, 519, 7058, 267, 855, 875, 1134, 519, 6111, 540, 519, 7058, 13475, 519, 6015, 1377, 780, 2171, 1223, 1449, 938, 23363, 676, 3274, 16460, 513, 2603, 540, 891, 8424, 540, 2055, 267, 1287, 7311, 513, 1697, 18176, 4341, 269, 1809, 602, 4667, 899, 18530, 856, 1344, 269, 17610, 569, 649, 1223, 26215, 622, 5488, 952, 649, 2811, 4847, 547, 946, 938, 6111, 607, 2963, 2496, 295, 7795, 286, 3143, 267, 602, 781, 3478, 811, 1344, 267, 711, 18530, 856, 1344, 269, 1411, 666, 1405, 26215, 622, 952, 596, 1810, 1405, 917, 707, 6111, 267, 865, 621, 781, 711, 2312, 547, 803, 1018, 596, 1611, 676, 834, 9994, 539, 3010, 29973, 569, 267, 519, 1152, 1344, 596, 666, 1205, 689, 513, 2582, 3611, 777, 2002, 568, 2436, 610, 711, 596, 1174, 519, 3398, 1464, 540, 476, 271, 610, 476, 1911, 607, 17831, 630, 327, 842, 281, 789, 5749, 1405, 1040, 1403, 596, 1616, 547, 513, 3730, 23363, 267, 596, 991, 6266, 540, 3611, 777, 2002, 338, 780, 8253, 1018, 594, 5921, 269, 1280, 834, 13678, 2952, 2437, 1224, 834, 332, 699, 569, 1701, 594, 1611, 602, 950, 596, 1205, 6266, 540, 3611, 777, 2002, 338, 267, 543, 26215, 622, 689, 873, 267, 596, 666, 946, 707, 6111, 593, 519, 1101, 2694, 538, 513, 21950, 1259, 982, 1175, 519, 9352, 2638, 540, 2436, 789, 8593, 1369, 707, 6015, 11996, 610, 711, 780, 763, 1259, 713, 568, 3335, 2944, 568, 676, 19310, 1746, 811, 982, 1079, 2338, 547, 1628, 519, 3892, 856, 540, 269, 1280, 1383, 267, 594, 1522, 2307, 596, 585, 513, 4266, 865, 2038, 602, 596, 1589, 972, 781, 1152, 513, 476, 276, 260, 4960, 621, 5949, 1354, 602, 4266, 267, 1287, 513, 4266, 865, 3735, 602, 596, 1589, 972, 781, 1152, 513, 476, 276, 260, 4960, 621, 5949, 1310, 602, 4266, 267, 1287, 2119, 547, 4137, 856, 519, 512, 1068, 3796, 610, 14415, 3796, 780, 30860, 602, 594, 5249, 689, 519, 3544, 538, 268, 950, 1004, 2119, 547, 2097, 909, 609, 513, 3844, 7447, 543, 1287, 4952, 13065, 1472, 602, 3844, 7447, 267, 899, 538, 962, 341, 664, 781, 19310, 2787, 267, 789, 798, 3648, 8338, 982, 952, 11461, 676, 606, 1134, 27059, 1184, 269, 630, 2791, 666, 1294, 606, 1383, 540, 606, 4274, 19310, 2787, 1184, 1934, 24355, 3080, 596, 4312, 2944, 713, 267, 596, 4312, 3893, 811, 2143, 25510, 267, 543, 596, 666, 6218, 519, 10822, 5095, 269, 9497, 295, 332, 267, 594, 1152, 723, 476, 1015, 260, 538, 1250, 2539, 512, 1068, 850, 268, 594, 11129, 547, 4188, 1250, 9193, 1524, 2072, 1701, 2020, 10144, 1419, 3514, 14778, 1759, 593, 19310, 1243, 2418, 267, 855, 789, 3513, 2911, 513, 2603, 609, 519, 4966, 827, 3337, 267, 547, 1118, 2386, 621, 13352, 519, 4274, 781, 4978, 269, 630, 5445, 4043, 547, 946, 1919, 513, 2603, 811, 10427, 982, 26977, 267, 3622, 6074, 865, 602, 28662, 10311, 616, 10375, 4700, 594, 1810, 1405, 1589, 594, 4312, 2938, 1454, 540, 602, 538, 519, 6389, 540, 23363, 267, 1498, 780, 1411, 1223, 946, 602, 17501, 5650, 547, 3132, 513, 811, 5730, 7447, 540, 707, 533, 267, 543, 1287, 946, 602, 538, 707, 1697, 18176, 4341, 547, 3313, 707, 6060, 538, 2258, 550, 16552, 267, 543, 865, 713, 1223, 581, 3730, 585, 23363, 269, 2755, 594, 1589, 713, 1223, 2333, 8856, 538, 707, 23363, 6482, 267, 594, 1810, 1405, 917, 952, 621, 1131, 2965, 2087, 519, 6111, 540, 707, 23363, 6482, 269, 1879, 3257, 7194, 267, 621, 781, 2182, 547, 1118, 909, 585, 3668, 540, 1239, 998, 946, 540, 15931, 2553, 780, 12552, 585, 602, 3095, 267, 543, 585, 15738, 856, 519, 4480, 799, 4667, 899, 513, 1434, 11360, 269, 630, 1103, 519, 8799, 2631, 540, 519, 2262, 24355, 6546, 23363, 2243, 2965, 6659, 513, 2243, 585, 803, 269, 594, 10093, 1405, 2938, 713, 2243, 6659, 267, 4352, 594, 14353, 621, 814, 543, 594, 1175, 10093, 1405, 1336, 519, 4901, 607, 2943, 282, 952, 865, 267, 5225, 1448, 803, 538, 519, 1318, 4287, 780, 763, 1448, 267, 538, 2110, 267, 568, 602, 1250, 8937, 5114, 547, 28798, 1250, 16148, 5506, 3934, 725, 568, 834, 296, 6415, 711, 5461, 538, 3843, 547, 581, 513, 2780, 1701, 1306, 2484, 607, 594, 917, 267, 782, 519, 1871, 594, 4312, 20335, 856, 540, 7787, 626, 2259, 814, 1044, 1454, 811, 12007, 982, 5506, 9273, 267, 971, 607, 4742, 3222, 540, 543, 1565, 547, 5469, 519, 16148, 4743, 540, 7863, 513, 1726, 25979, 3661, 689, 5013, 269, 630, 11900, 1068, 519, 3044, 13946, 1846, 267, 5225, 4700, 594, 6415, 711, 2386, 1018, 594, 1131, 2744, 676, 2921, 519, 942, 547, 5721, 8885, 547, 581, 1732, 693, 10451, 10230, 9193, 540, 1250, 10171, 540, 1373, 2953, 827, 1250, 7058, 525, 780, 1103, 713, 1880, 2013, 267, 594, 31665, 476, 13679, 271, 1759, 593, 1250, 1702, 602, 13053, 729, 3257, 1010, 3364, 538, 519, 4571, 547, 3735, 27867, 2540, 269, 594, 2322, 513, 476, 4792, 260, 6015, 593, 519, 476, 1428, 4458, 8884, 267, 23115, 602, 621, 1522, 581, 513, 22510, 3787, 2663, 982, 476, 13679, 271, 855, 711, 1768, 1026, 569, 1454, 269, 898, 7140, 856, 602, 594, 729, 4636, 827, 602, 8884, 267, 865, 594, 917, 1631, 602, 1759, 593, 602, 3510, 543, 519, 2179, 540, 6015, 594, 5433, 267, 594, 1058, 4440, 2119, 513, 4130, 6015, 7447, 269, 1215, 1454, 4130, 594, 2731, 1810, 1405, 917, 282, 594, 14353, 602, 781, 1018, 713, 834, 295, 517, 648, 24174, 781, 4341, 257, 1866, 616, 6158, 827, 9607, 780, 3719, 519, 3364, 568, 267, 594, 6415, 711, 2386, 1018, 594, 1131, 2744, 952, 621, 5828, 856, 602, 476, 4792, 260, 729, 2731, 519, 1318, 7058, 547, 1118, 269, 1403, 1250, 6015, 9193, 2490, 856, 547, 581, 2731, 267, 2731, 1134, 3620, 19861, 267, 865, 1018, 2496, 4002, 519, 1166, 2354, 728, 267, 952, 621, 5828, 856, 602, 476, 2568, 260, 729, 519, 1318, 7058, 547, 1118, 543, 594, 6108, 930, 942, 26215, 908, 1250, 1378, 5506, 9193, 267, 1018, 798, 594, 2744, 676, 3257, 602, 286, 2334, 1522, 581, 3407, 585, 2679, 606, 3642, 267, 855, 594, 6415, 513, 1514, 10196, 267, 711, 606, 3642, 11001, 269, 594, 1265, 621, 3407, 547, 5469, 519, 4058, 2887, 2329, 538, 2962, 267, 855, 594, 1810, 1405, 1265, 621, 1768, 1026, 569, 5363, 547, 581, 9952, 693, 267, 2161, 267, 6616, 602, 1250, 7058, 540, 1373, 476, 5952, 260, 2693, 547, 12446, 609, 513, 476, 276, 18826, 14345, 540, 950, 594, 2161, 568, 1360, 2693, 547, 581, 4977, 269, 1548, 781, 5363, 568, 6616, 602, 513, 2016, 7552, 11148, 547, 1491, 827, 476, 1839, 3764, 543, 602, 10169, 5781, 855, 9583, 14477, 6808, 786, 1118, 621, 1491, 476, 2412, 3764, 267, 865, 952, 594, 991, 547, 581, 593, 942, 594, 4734, 476, 2412, 3764, 1354, 594, 991, 547, 581, 972, 855, 609, 1919, 594, 666, 798, 585, 476, 1428, 3764, 2899, 594, 6415, 972, 538, 2013, 6808, 568, 5347, 269, 3143, 8763, 17831, 2877, 780, 3719, 594, 1294, 713, 1870, 827, 1565, 547, 1118, 1732, 6857, 5506, 9193, 4947, 909, 9425, 1419, 593, 10815, 654, 3994, 269, 898, 729, 1256, 513, 6249, 538, 519, 645, 2393, 6682, 1186, 952, 594, 1174, 7157, 269, 1924, 2901, 3833, 513, 1297, 540, 1360, 5100, 1004, 945, 6108, 741, 942, 3206, 827, 7787, 640, 782, 7307, 547, 27721, 593, 3024, 532, 1945, 602, 3085, 1405, 2965, 2339, 602, 1454, 547, 7787, 640, 267, 610, 594, 6415, 7508, 1945, 780, 25898, 2576, 798, 803, 519, 21806, 540, 4543, 803, 1294, 1018, 594, 6415, 15151, 9420, 547, 1934, 2496, 4953, 288, 281, 594, 1175, 7691, 602, 519, 4341, 3025, 568, 6158, 827, 1590, 581, 1018, 12968, 648, 24174, 13890, 538, 519, 1291, 2022, 540, 713, 4901, 269, 590, 13446, 585, 711, 711, 6005, 602, 269, 1809, 1250, 4295, 2243, 3788, 2439, 2467, 781, 1100, 1434, 1259, 547, 798, 713, 1210, 1152, 519, 5470, 540, 513, 1448, 7447, 267, 621, 5673, 593, 519, 3337, 540, 519, 3892, 596, 3651, 269, 1280, 1383, 267, 4952, 2576, 945, 666, 1405, 3314, 2436, 930, 2680, 5949, 538, 476, 15433, 273, 610, 476, 6245, 273, 267, 865, 14477, 7058, 525, 476, 15433, 273, 609, 476, 2004, 260, 6015, 269, 1403, 519, 2953, 2626, 729, 476, 6245, 273, 267, 713, 1268, 729, 1055, 676, 476, 1220, 1296, 267, 855, 1869, 1360, 1134, 26215, 730, 269, 0, 258, 11150, 382, 370, 692, 1012, 7763, 22899, 1383, 281, 15613, 585, 9412, 7433, 2480, 19538, 382, 370, 692, 763, 3014, 540, 9412, 7433, 2480, 19538, 568, 513, 1455, 1612, 331, 712, 3014, 1063, 1079, 5716, 945, 4584, 476, 272, 540, 476, 274, 3681, 8195, 1384, 272, 269, 9412, 799, 20054, 2480, 19538, 16963, 273, 269, 7433, 799, 20054, 9412, 16963, 274, 269, 2480, 19538, 799, 20054, 7433, 692, 13295, 267, 713, 14687, 547, 513, 16453, 4813, 10794, 609, 1384, 272, 269, 5565, 5716, 630, 2330, 301, 284, 273, 2330, 6393, 273, 269, 634, 2962, 5036, 616, 281, 6695, 24837, 31505, 20731, 272, 7807, 24837, 31505, 20731, 273, 7807, 3189, 3667, 23334, 1442, 9574, 1422, 3667, 346, 26261, 9574, 1422, 3667, 346, 9928, 19538, 4153, 15732, 274, 269, 634, 2628, 4752, 3252, 616, 2016, 676, 519, 14290, 3230, 288, 267, 645, 2330, 1141, 519, 1101, 4737, 610, 6241, 14687, 547, 6695, 3667, 23334, 1442, 6525, 267, 519, 2034, 547, 6695, 3667, 346, 26261, 6525, 543, 519, 3791, 547, 6695, 3667, 346, 9928, 19538, 6525, 780, 7445, 8218, 346, 20889, 348, 288, 815, 1422, 8218, 32413, 348, 476, 271, 1299, 910, 272, 1299, 476, 272, 8607, 476, 272, 1299, 476, 271, 1299, 910, 272, 11138, 910, 272, 1299, 476, 272, 1299, 476, 271, 11138, 1422, 754, 32413, 4153, 754, 346, 20889, 21456, 7445, 8218, 346, 20889, 348, 289, 815, 910, 589, 815, 1422, 8218, 32413, 348, 476, 271, 1299, 476, 272, 1299, 910, 272, 8607, 910 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1496, 9654, 269, 2190, 4940, 634, 1739, 1032, 646, 7608, 513, 2990, 538, 519, 6128, 8257, 693, 519, 2160, 540, 670, 4150, 267, 1141, 646, 6170, 519, 1964, 540, 1010, 4081, 4876, 269, 1703, 267, 1010, 13206, 4106, 725, 338, 577, 337, 3424, 729, 1586, 13991, 547, 1297, 3069, 267, 543, 18808, 609, 14759, 540, 512, 1716, 776, 13392, 3029, 269, 12005, 689, 281, 1305, 3069, 538, 634, 5839, 17524, 534, 15610, 454, 2005, 729, 693, 670, 4150, 602, 22616, 528, 779, 26393, 267, 661, 706, 731, 1261, 710, 267, 729, 2324, 593, 2352, 2042, 5473, 25066, 3126, 267, 543, 646, 5461, 22616, 528, 538, 519, 1966, 540, 8159, 519, 2175, 896, 799, 513, 25066, 3126, 540, 519, 1106, 454, 684, 1664, 569, 6719, 513, 2016, 1599, 269, 769, 824, 1913, 267, 1223, 621, 581, 602, 1079, 1114, 25066, 3126, 1223, 2099, 519, 1482, 1599, 286, 1261, 710, 1185, 3254, 267, 538, 476, 6942, 271, 267, 602, 952, 535, 3287, 264, 568, 6024, 538, 2489, 630, 328, 4318, 1421, 585, 782, 855, 513, 13113, 1297, 540, 2798, 540, 19944, 8462, 267, 693, 799, 2798, 1261, 710, 3773, 602, 519, 1599, 991, 711, 8209, 581, 13113, 1070, 519, 6041, 568, 2189, 952, 649, 31274, 602, 519, 3126, 568, 25144, 4780, 7217, 547, 535, 538, 2489, 269, 22616, 528, 729, 2111, 547, 3715, 1454, 811, 2489, 2164, 267, 543, 538, 2947, 4574, 2854, 1063, 476, 6942, 271, 543, 476, 6942, 273, 646, 729, 2111, 547, 1397, 602, 971, 11269, 941, 2189, 1256, 952, 606, 12808, 1297, 540, 11108, 2798, 941, 4847, 267, 865, 1279, 607, 891, 11108, 2798, 630, 328, 4318, 1421, 2798, 693, 799, 519, 1599, 8959, 547, 581, 6024, 264, 941, 7856, 936, 519, 6389, 540, 519, 1599, 779, 4214, 538, 513, 1880, 1259, 267, 7587, 5024, 1018, 22616, 528, 1572, 968, 4812, 5036, 540, 519, 1101, 2249, 1848, 3571, 2090, 540, 891, 543, 1644, 1448, 5036, 5555, 3366, 22616, 528, 547, 1010, 1454, 811, 7493, 543, 3532, 3069, 540, 5036, 543, 13816, 9548, 2338, 269, 8672, 5036, 540, 519, 1101, 2249, 941, 5036, 623, 585, 799, 267, 2016, 922, 5311, 540, 6508, 5036, 630, 1492, 6508, 1305, 623, 12664, 540, 513, 1305, 623, 568, 519, 1305, 540, 782, 519, 3970, 2798, 540, 623, 1070, 972, 729, 930, 13113, 562, 971, 602, 519, 32671, 6508, 1305, 623, 333, 540, 623, 729, 13113, 267, 543, 3976, 519, 630, 333, 1341, 476, 272, 264, 560, 6508, 1305, 729, 8900, 267, 1775, 4318, 1421, 623, 333, 266, 272, 815, 3980, 483, 269, 898, 729, 22616, 528, 779, 7766, 1353, 540, 12808, 5276, 1448, 5036, 602, 1131, 5555, 1291, 547, 1010, 5137, 540, 13816, 9548, 1305, 3069, 538, 519, 476, 6642, 271, 338, 269, 630, 2690, 811, 3877, 827, 713, 267, 1294, 1305, 3069, 1496, 4353, 269, 2420, 19926, 273, 4940, 994, 6524, 646, 1705, 865, 267, 22616, 528, 1101, 3459, 547, 2263, 519, 6286, 540, 1010, 960, 593, 25066, 3126, 543, 519, 2497, 540, 519, 1483, 2338, 538, 1896, 4574, 267, 835, 540, 799, 729, 547, 22499, 6128, 538, 513, 4909, 1259, 269, 634, 1101, 540, 891, 4574, 729, 3370, 538, 476, 6942, 275, 267, 543, 16004, 519, 21030, 6681, 2140, 968, 383, 506, 828, 552, 710, 661, 580, 839, 577, 10762, 964, 769, 321, 1122, 337, 858, 525, 782, 518, 556, 749, 523, 7223, 4593, 1156, 2098, 1695, 6352, 892, 12462, 4002, 513, 3959, 540, 519, 4015, 540, 782, 1483, 15821, 2338, 26158, 769, 713, 1957, 267, 22616, 528, 9863, 602, 519, 1305, 540, 782, 15821, 1483, 2338, 729, 1293, 2406, 12808, 1496, 7656, 269, 1556, 4940, 1548, 729, 12316, 827, 519, 1957, 267, 2705, 267, 729, 602, 646, 849, 9863, 602, 519, 1305, 540, 782, 1483, 2338, 729, 711, 1293, 762, 267, 543, 1590, 581, 540, 513, 2362, 1931, 540, 20581, 982, 519, 1293, 2406, 12808, 1305, 540, 2067, 2338, 269, 1261, 8120, 547, 713, 1267, 538, 476, 6245, 272, 609, 513, 1007, 1935, 267, 519, 14262, 1505, 540, 15497, 1436, 267, 547, 6961, 538, 513, 1360, 1463, 1259, 602, 519, 1305, 540, 1483, 2338, 568, 4608, 870, 2406, 12808, 269, 22616, 528, 779, 2034, 1271, 1957, 540, 519, 8717, 7902, 538, 476, 6942, 279, 267, 968, 292, 514, 2142, 527, 4048, 1990, 584, 28553, 580, 325, 5306, 580, 651, 1080, 548, 327, 516, 892, 12462, 288, 9295, 547, 519, 3069, 540, 27960, 25257, 538, 799, 646, 9863, 630, 5976, 513, 14356, 25768, 4661, 264, 519, 23223, 766, 540, 10155, 267, 513, 11532, 1101, 7157, 9863, 676, 536, 709, 4546, 1496, 9654, 269, 4037, 316, 538, 476, 4489, 272, 269, 9737, 476, 6942, 280, 543, 476, 6642, 275, 22616, 528, 3370, 3670, 4574, 2966, 547, 7291, 519, 2596, 2609, 540, 1010, 1007, 3206, 827, 5036, 269, 1261, 1101, 2808, 1018, 5949, 952, 513, 1305, 941, 711, 540, 519, 1101, 2249, 676, 10962, 6698, 585, 519, 12808, 17523, 2877, 547, 2697, 971, 5036, 269, 1280, 1383, 267, 513, 1305, 623, 729, 1767, 547, 581, 540, 519, 2034, 2249, 952, 972, 729, 1100, 13113, 562, 971, 602, 519, 32671, 6508, 1305, 623, 333, 540, 623, 729, 13113, 269, 1261, 1287, 2808, 519, 2013, 538, 799, 519, 10167, 540, 782, 519, 6508, 5036, 540, 623, 630, 4067, 569, 623, 12664, 267, 623, 16357, 267, 1547, 1547, 476, 1421, 623, 333, 11783, 1547, 1547, 264, 729, 1586, 606, 12808, 1305, 267, 799, 646, 11280, 623, 31236, 269, 901, 1305, 267, 2094, 621, 729, 12808, 267, 1185, 513, 6508, 1305, 607, 1134, 267, 623, 31236, 266, 272, 267, 543, 713, 3366, 538, 1249, 547, 606, 3003, 5311, 540, 6508, 5036, 540, 519, 2034, 2249, 281, 623, 31236, 267, 623, 31236, 266, 272, 11783, 1547, 476, 1421, 623, 31236, 266, 333, 267, 1547, 1547, 476, 1421, 623, 273, 31236, 11783, 1547, 10371, 769, 1010, 1101, 4574, 593, 12808, 5276, 5036, 267, 891, 17523, 585, 6508, 5036, 7283, 968, 8882, 514, 3202, 6698, 27535, 602, 568, 267, 3457, 585, 23243, 1063, 1114, 5036, 269, 1809, 538, 1010, 30421, 526, 331, 10402, 552, 10719, 782, 613, 1889, 514, 523, 28553, 580, 325, 5306, 580, 651, 1080, 548, 327, 516, 12462, 28062, 725, 540, 513, 2489, 1305, 3069, 25257, 3370, 538, 476, 6642, 274, 267, 891, 6698, 2968, 519, 1101, 13816, 9548, 2338, 281, 519, 13816, 9548, 3921, 1400, 2338, 269, 1452, 2338, 3459, 609, 28911, 267, 519, 13816, 9548, 3921, 1400, 1297, 8204, 519, 5311, 540, 2067, 2338, 476, 272, 267, 476, 273, 267, 476, 274, 11783, 1547, 476, 1421, 799, 1223, 849, 581, 2219, 540, 607, 519, 1101, 12808, 3921, 1400, 1297, 1310, 782, 540, 519, 13113, 2898, 2338, 269, 769, 519, 30421, 526, 331, 10402, 267, 22616, 528, 711, 1152, 25282, 519, 2596, 2934, 540, 513, 13816, 9548, 12980, 585, 891, 2338, 267, 855, 646, 3177, 513, 2143, 10952, 8878, 540, 519, 1007, 2338, 269, 31158, 1194, 3101, 519, 12316, 2470, 540, 1018, 646, 729, 10962, 267, 646, 11130, 602, 519, 1007, 2035, 941, 2556, 538, 1931, 547, 3035, 5730, 6310, 2164, 602, 646, 1223, 3489, 676, 1100, 824, 1797, 269, 22616, 528, 779, 1655, 8153, 6310, 5137, 267, 2705, 267, 519, 13816, 9548, 29039, 2338, 267, 799, 646, 20922, 1210, 519, 12355, 4484, 513, 548, 874, 267, 941, 5189, 1152, 2663, 267, 538, 519, 476, 6245, 271, 338, 269, 1358, 941, 1101, 2016, 2407, 1163, 3789, 538, 513, 6292, 540, 4574, 630, 6245, 276, 267, 476, 6245, 278, 264, 602, 27648, 1010, 968, 6826, 527, 337, 7564, 613, 1990, 584, 23548, 745, 526, 2426, 3541, 13816, 8181, 523, 631, 1263, 523, 548, 327, 516, 892, 12462, 6944, 1026, 1903, 547, 519, 15713, 540, 13816, 9548, 1305, 3069, 26158, 769, 1079, 4930, 3370, 538, 7527, 27528, 1323, 2522, 523, 267, 646, 711, 1152, 1305, 856, 1010, 3069, 540, 13816, 9548, 3921, 1400, 543, 29039, 2338, 267, 607, 1134, 607, 741, 818, 603, 27027, 267, 855, 849, 6045, 1010, 3069, 540, 1931, 2010, 267, 12077, 519, 1114, 3601, 17820, 676, 519, 5036, 540, 2067, 267, 7787, 267, 543, 1483, 2338, 2808, 538, 741, 2067, 9753, 269, 1703, 646, 849, 7150, 630, 8117, 1223, 711, 6961, 264, 1010, 4583, 27795, 8367, 1496, 4353, 269, 2420, 19926, 276, 3910, 12077, 602, 519, 1379, 630, 528, 29039, 1297, 264, 540, 519, 27795, 540, 782, 1483, 2338, 568, 519, 1985, 4102, 12808, 1305, 630, 528, 29039, 1297, 264, 1310, 519, 1293, 2406, 12808, 1305, 540, 2067, 2338, 2073, 519, 3556, 514, 1275, 540, 799, 729, 3144, 547, 581, 476, 271, 403, 494, 269, 22616, 528, 6829, 519, 27795, 8367, 7223, 1227, 607, 519, 3948, 602, 476, 273, 476, 272, 815, 13913, 494, 271, 403, 494, 269, 1635, 519, 1439, 540, 1010, 4876, 22616, 528, 1185, 4607, 8956, 776, 5232, 689, 4914, 9945, 543, 519, 595, 963, 344, 29274, 540, 519, 9576, 5980, 585, 1010, 1390, 7418, 547, 6128, 267, 855, 972, 941, 4179, 2517, 14142, 269, 920, 323, 648, 12401, 2593, 270, 20880, 14121, 8084, 11305, 656, 528, 318, 613, 3073, 454, 2889, 21793, 609, 1305, 3069, 602, 941, 3564, 1010, 19206, 547, 16185, 269, 634, 1034, 23892, 585, 1082, 22697, 941, 519, 968, 656, 514, 558, 625, 892, 540, 1305, 3069, 281, 519, 19433, 525, 2322, 4464, 676, 519, 15055, 540, 645, 1116, 328, 293, 677, 328, 543, 678, 639, 8688, 1496, 9654, 269, 10170, 4940, 769, 476, 6245, 278, 519, 5449, 3370, 519, 19433, 16109, 689, 519, 4015, 540, 782, 3921, 1400, 2338, 267, 519, 3921, 1400, 1297, 540, 799, 1058, 581, 606, 3921, 1400, 1297, 3152, 982, 1022, 538, 519, 4015, 540, 782, 3921, 1400, 2338, 269, 769, 476, 5002, 272, 519, 8545, 4362, 519, 19433, 540, 519, 1362, 540, 782, 5049, 602, 616, 711, 2818, 540, 2933, 281, 568, 621, 513, 4759, 540, 3294, 610, 711, 286, 630, 8450, 519, 6433, 538, 519, 13210, 540, 6128, 1496, 2862, 269, 278, 19926, 273, 269, 272, 316, 4700, 22616, 528, 5128, 729, 3222, 540, 519, 32475, 602, 21256, 689, 6236, 519, 10070, 540, 782, 13816, 9548, 3921, 1400, 610, 29039, 2338, 267, 543, 1018, 741, 3921, 1400, 610, 29039, 2338, 1522, 581, 269, 634, 3070, 22616, 528, 7550, 729, 547, 2543, 971, 10070, 607, 1932, 1804, 267, 543, 711, 2731, 5036, 693, 782, 267, 855, 968, 514, 4621, 11962, 27960, 892, 607, 646, 1572, 873, 269, 11524, 267, 899, 2098, 1069, 601, 334, 267, 3459, 547, 24936, 25959, 1125, 1305, 3069, 538, 606, 4674, 547, 23868, 519, 7872, 540, 32475, 269, 634, 1079, 1034, 3532, 2164, 540, 519, 14206, 2540, 547, 9148, 22616, 528, 779, 960, 616, 1346, 540, 575, 7238, 23437, 1496, 9654, 269, 10844, 316, 630, 15367, 3964, 519, 11007, 540, 519, 27795, 8367, 609, 1990, 1069, 601, 334, 1700, 325, 571, 523, 30448, 1305, 3069, 1496, 4353, 269, 2420, 19926, 274, 8079, 543, 6754, 28137, 630, 15367, 5462, 519, 7115, 540, 519, 27795, 8367, 689, 2098, 1069, 601, 334, 1700, 293, 571, 523, 30448, 1305, 3069, 1070, 519, 8545, 6368, 9591, 519, 791, 1601, 2225, 540, 18445, 519, 27795, 8367, 269, 22616, 528, 779, 9371, 585, 519, 1686, 540, 6128, 814, 5963, 1044, 12316, 269, 26361, 782, 267, 1010, 13816, 9548, 1305, 3069, 585, 519, 1101, 942, 5795, 22697, 519, 1797, 540, 7231, 609, 2035, 540, 519, 12808, 538, 513, 6297, 543, 5730, 1259, 269, 4329, 7335, 667, 879, 17754, 267, 808, 269, 654, 269, 476, 1960, 271, 269, 9677, 22616, 528, 269, 3571, 9119, 543, 13898, 540, 519, 5606, 9548, 269, 23134, 267, 2073, 27359, 281, 23134, 2160, 4964, 269, 630, 5575, 3370, 538, 476, 3192, 279, 676, 12370, 2160, 4964, 12175, 667, 879, 17754, 267, 808, 269, 654, 269, 476, 1220, 276, 269, 9677, 22616, 528, 543, 519, 6370, 585, 13816, 9548, 1305, 3069, 269, 769, 26366, 996, 744, 269, 2904, 700, 624, 999, 540, 519, 8225, 5980, 585, 3778, 543, 13898, 540, 9119, 267, 12995, 676, 11709, 645, 5300, 17745, 523, 267, 717, 269, 543, 918, 4176, 517, 267, 631, 1421, 6032, 269, 476, 21854, 268, 6078, 269, 1715, 3840, 281, 22219, 269, 667, 879, 17754, 267, 808, 269, 654, 269, 476, 1220, 276, 269, 9677, 22616, 528, 269, 7433, 593, 519, 968, 28062, 725, 540, 513, 2489, 1305, 3069, 892, 630, 6642, 274, 1040, 769, 8092, 5658, 13360, 902, 538, 5375, 9119, 476, 13932, 271, 268, 3707, 271, 267, 12995, 676, 6182, 3430, 534, 8566, 340, 514, 1145, 267, 594, 1421, 6032, 269, 476, 7785, 268, 1321, 269, 5507, 281, 30296 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 513, 6015, 8884, 1070, 596, 666, 2995, 875, 1454, 519, 8369, 543, 2623, 540, 519, 3732, 596, 5619, 568, 2693, 547, 1821, 5573, 689, 898, 666, 581, 7229, 607, 513, 2789, 540, 519, 3044, 5470, 267, 609, 519, 3815, 4470, 540, 519, 1377, 540, 6015, 5551, 282, 513, 14345, 540, 835, 3044, 5470, 3947, 513, 476, 6924, 260, 6015, 4935, 267, 519, 5021, 14345, 540, 5470, 4564, 606, 5580, 3808, 547, 519, 10462, 282, 835, 568, 693, 2547, 476, 4817, 260, 1978, 602, 519, 834, 25152, 257, 6871, 568, 1369, 519, 5021, 14345, 540, 5470, 540, 901, 2306, 16022, 2631, 1317, 950, 715, 815, 562, 267, 519, 3732, 3587, 513, 14829, 543, 10386, 5470, 3587, 544, 2393, 269, 5291, 2517, 2675, 28291, 3820, 8276, 1173, 514, 6361, 270, 845, 3121, 2173, 1173, 514, 6361, 268, 19587, 21703, 454, 1432, 568, 513, 11752, 27085, 634, 6746, 2209, 540, 891, 4834, 616, 17031, 547, 1079, 8918, 4025, 269, 7147, 29698, 30263, 268, 10695, 9578, 8641, 532, 18185, 8266, 12313, 281, 1269, 14983, 269, 4200, 24246, 13242, 281, 1269, 3374, 269, 876, 24246, 1715, 281, 1269, 10844, 269, 4200, 7343, 28508, 585, 6673, 10803, 543, 20145, 293, 604, 1399, 5668, 27701, 10819, 538, 17438, 609, 10298, 630, 291, 1478, 7734, 593, 9119, 264, 293, 1042, 15104, 4107, 11839, 8266, 12313, 281, 1269, 278, 269, 4817, 24246, 13242, 281, 6744, 856, 938, 10803, 18623, 1222, 8525, 547, 4019, 2336, 300, 1173, 514, 2986, 18438, 18185, 454, 763, 3903, 540, 512, 18802, 8957, 1990, 1606, 14537, 1281, 711, 1118, 1454, 4052, 3017, 950, 519, 3732, 2450, 568, 1360, 1804, 269, 4112, 534, 2218, 543, 15863, 25159, 281, 1548, 3657, 519, 20212, 286, 1215, 547, 12433, 12540, 514, 540, 18438, 630, 341, 8721, 264, 1548, 568, 513, 12540, 514, 540, 18438, 888, 17798, 713, 5750, 666, 581, 9450, 547, 824, 6015, 21159, 607, 1134, 269, 670, 514, 345, 18860, 6686, 2102, 7591, 29812, 530, 518, 6577, 15074, 23565, 1862, 898, 31234, 513, 10171, 630, 2254, 513, 22979, 264, 602, 519, 1267, 689, 513, 3732, 568, 2673, 547, 519, 1297, 835, 1131, 1205, 952, 519, 2898, 2551, 1185, 1044, 844, 518, 1221, 269, 1215, 1677, 4855, 12540, 514, 2986, 18438, 2060, 30151, 3955, 1998, 8158, 476, 1220, 277, 268, 4962, 268, 4029, 269, 9745, 9129, 518, 5894, 267, 700, 269, 630, 4489, 279, 1040, 834, 4002, 519, 1871, 540, 513, 1611, 607, 7229, 689, 513, 3732, 8487, 306, 7773, 10767, 928, 2160, 540, 5303, 269, 12540, 514, 2986, 18438, 9185, 634, 1283, 6712, 12125, 5506, 5860, 1996, 4890, 6871, 267, 6029, 519, 3448, 5506, 602, 519, 4890, 6871, 568, 1483, 2213, 267, 1759, 593, 519, 25541, 6871, 269, 1323, 17745, 6577, 1855, 559, 523, 2725, 15590, 9253, 6577, 631, 7238, 577, 11687, 5918, 10523, 525, 11473, 5283, 6577, 286, 654, 2273, 15074, 23565, 2483, 1103, 2665, 1141, 562, 568, 1932, 1507, 630, 514, 2489, 267, 1447, 982, 476, 1789, 264, 585, 519, 6239, 23423, 14497, 547, 581, 1031, 267, 855, 596, 1869, 1589, 519, 1239, 3357, 689, 513, 3339, 3892, 267, 12540, 514, 2986, 18438, 9502, 7490, 2824, 513, 20394, 269, 25092, 676, 519, 3617, 1990, 265, 268, 7407, 630, 516, 2536, 547, 519, 1657, 3349, 1040, 769, 2259, 649, 949, 711, 8209, 917, 585, 1978, 1018, 519, 2551, 3044, 11539, 2731, 568, 563, 300, 1173, 514, 2986, 18438, 9185, 454, 19913, 12340, 29967, 523, 26566, 267, 476, 747, 544, 7238, 577, 974, 20146, 1531, 531, 1084, 681, 6686, 1188, 326, 7564, 978, 580, 5672, 1156, 5576, 12340, 29967, 523, 667, 625, 525, 11473, 568, 339, 562, 32218, 2357, 325, 6686, 326, 8663, 269, 4855, 519, 2565, 1871, 269, 12540, 514, 2986, 18438, 18185, 30151, 3955, 10094, 910, 15531, 12726, 12025, 910, 667, 21516, 281, 476, 279, 281, 5379, 4414, 5211, 5441, 29216, 2871, 903, 476, 6507, 269, 5780, 274, 589, 18860, 745, 10623, 476, 279, 281, 5379, 30151, 8884, 476, 272, 1923, 5606, 22460, 7194, 1923, 17438, 543, 10803, 1923, 16679, 9142, 910, 12540, 514, 2986, 18438, 30151, 3955, 1998, 18185, 17312, 22230, 1157, 4258, 2284, 267, 543, 476, 273, 260, 1131, 8917, 585, 25453, 715, 14575, 18025, 2678, 595, 877, 14765, 563, 2026, 1776, 1383, 267, 952, 519, 3020, 1871, 568, 476, 2004, 1004, 267, 543, 519, 18802, 814, 513, 6015, 8884, 8953, 540, 476, 276, 1004, 267, 1287, 649, 1522, 2161, 519, 14345, 540, 5470, 568, 476, 276, 1294, 1934, 2991, 8159, 519, 3617, 1871, 540, 1990, 10382, 270, 273, 267, 9062, 676, 519, 3044, 11539, 269, 1809, 952, 519, 3312, 2551, 568, 21354, 7729, 14954, 267, 814, 2789, 19589, 267, 543, 5924, 814, 856, 11502, 267, 3173, 899, 519, 3732, 2450, 547, 581, 1256, 3677, 269, 26629, 15873, 538, 10803, 281, 1548, 568, 621, 1031, 585, 286, 9890, 476, 273, 4555, 593, 968, 1692, 547, 12433, 12540, 514, 540, 18438, 538, 14168, 17778, 892, 19375, 661, 15590, 28727, 4728, 476, 278, 267, 476, 1001, 277, 693, 476, 274, 281, 2412, 10681, 645, 18847, 1215, 1677, 4855, 12540, 514, 2986, 18438, 2201, 23621, 476, 10019, 454, 27839, 1372, 27524, 606, 267, 19804, 796, 1052, 332, 612, 2940, 769, 15595, 974, 1990, 340, 5283, 6577, 269, 901, 3296, 6257, 875, 547, 1265, 519, 2565, 1871, 267, 950, 519, 10386, 3892, 540, 519, 18802, 568, 3339, 610, 5176, 3339, 269, 6744, 856, 519, 3446, 2987, 920, 2084, 1433, 602, 781, 5227, 2542, 693, 10228, 2160, 256, 713, 2985, 24498, 6402, 22816, 756, 23697, 814, 811, 593, 519, 1888, 540, 281, 12540, 514, 540, 5470, 18171, 1168, 1074, 601, 267, 5760, 1408, 267, 1196, 269, 630, 1220, 272, 1070, 834, 11293, 5558, 267, 3069, 540, 2580, 15610, 540, 9119, 267, 22219, 267, 9768, 7818, 268, 272, 268, 4649, 277, 5400, 268, 18089, 268, 275, 1284, 529, 7322, 267, 18238, 654, 269, 834, 300, 1173, 514, 540, 18438, 8487, 3719, 875, 568, 519, 14345, 540, 5470, 7229, 286, 12540, 514, 2986, 18438, 16754, 10789, 476, 273, 901, 1377, 568, 519, 6871, 540, 1135, 3149, 267, 952, 7368, 609, 519, 1482, 1374, 543, 5650, 267, 4171, 14345, 540, 5470, 1472, 519, 4080, 6871, 1131, 1331, 519, 834, 25152, 257, 6871, 269, 7324, 5619, 5171, 267, 519, 1611, 3446, 15304, 3328, 630, 294, 5183, 264, 729, 476, 273, 269, 278, 267, 543, 519, 3044, 11539, 729, 476, 271, 269, 275, 563, 763, 14009, 540, 938, 4542, 5161, 540, 519, 4009, 3597, 540, 519, 3732, 2450, 269, 24576, 540, 15051, 7712, 972, 616, 2789, 3268, 609, 1114, 12980, 3268, 267, 519, 1931, 540, 4238, 568, 1360, 1271, 454, 14188, 596, 23463, 1721, 19142, 909, 256, 634, 12540, 514, 540, 18438, 666, 581, 7229, 538, 1079, 2081, 281, 12540, 514, 540, 5470, 815, 11879, 1871, 1535, 9208, 11539, 12540, 514, 540, 5470, 815, 11879, 1871, 1535, 9208, 5470, 540, 519, 18802, 654, 3317, 5918, 581, 328, 13334, 606, 613, 332, 15505, 564, 536, 626, 267, 737, 2335, 560, 5918, 10523, 525, 11473, 1990, 340, 552, 10719, 7591, 4289, 554, 514, 345, 18860, 6686, 2102, 269, 12540, 514, 2986, 18438, 16754, 1160, 15251, 634, 3044, 5470, 630, 271, 269, 28318, 610, 476, 272, 269, 277, 8472, 2337, 547, 2285, 513, 2631, 540, 519, 6111, 540, 23715, 787, 781, 6059, 6871, 630, 5325, 260, 1916, 763, 3020, 533, 2600, 6015, 8884, 568, 519, 8884, 1496, 320, 267, 536, 316, 602, 3568, 533, 2600, 540, 519, 3892, 267, 543, 1141, 630, 1911, 6567, 533, 8358, 273, 2600, 540, 519, 3892, 6013, 2630, 513, 267, 543, 7490, 2824, 513, 20394, 269, 634, 2872, 3044, 568, 476, 4817, 10065, 5192, 2859, 27084, 2098, 4149, 14537, 9701, 596, 2769, 519, 2565, 1871, 607, 513, 512, 18802, 610, 607, 513, 1990, 1606, 14537, 888, 22428, 519, 2551, 3044, 11539, 568, 476, 271, 269, 277, 13728, 269, 1411, 1522, 849, 2972, 281, 6178, 909, 1703, 729, 606, 5470, 269, 3947, 596, 519, 3044, 5470, 269, 589, 14345, 540, 5470, 6645, 596, 875, 1082, 6871, 2798, 707, 2164, 786, 8428, 689, 519, 1483, 2551, 1871, 563, 290, 7185, 13163, 269, 570, 4149, 14537, 5288, 269, 1411, 666, 1689, 713, 13283, 2630, 269, 1990, 265, 268, 11749, 1132, 585, 29120, 630, 8110, 1417, 720, 264, 30151, 20946, 20587, 720, 30151, 1990, 265, 268, 19368, 476, 3199, 476, 272, 269, 2764, 476, 3445, 476, 272, 269, 277, 3393, 476, 4817, 476, 272, 269, 9834, 476, 7176, 476, 273, 269, 3451, 476, 4200, 476, 273, 269, 6812, 8074, 602, 891, 2418, 616, 3144, 689, 519, 3044, 3339, 630, 313, 268, 264, 3892, 563, 1692, 547, 12433, 12540, 514, 540, 18438, 538, 14168, 17778, 729, 2063, 9168, 281, 4728, 476, 2420, 526, 267, 476, 1001, 277, 676, 1656, 1446, 1635, 1656, 1446, 1923, 4864, 476, 2190, 267, 476, 1001, 274, 1923, 29138, 13281, 1923, 476, 273, 22227, 1923, 7602, 494, 24951, 21159, 769, 513, 32469, 13359, 1062, 267, 1141, 519, 16771, 568, 519, 11134, 609, 519, 1034, 16018, 267, 621, 568, 1271, 547, 917, 945, 568, 6619, 269, 589, 512, 265, 268, 7407, 568, 835, 602, 2501, 689, 513, 512, 1673, 626, 9084, 609, 562, 910, 476, 272, 5232, 540, 5191, 269, 3371, 781, 606, 1383, 281, 14597, 602, 519, 11829, 1575, 9257, 781, 5767, 3542, 25541, 476, 272, 267, 1822, 1004, 689, 519, 2136, 2276, 267, 543, 519, 2164, 1397, 602, 476, 26392, 1004, 630, 7367, 8472, 1589, 519, 7022, 568, 3257, 513, 454, 9202, 267, 649, 1265, 519, 3044, 5470, 540, 519, 1611, 267, 1210, 519, 1739, 3830, 281, 590, 2750, 815, 521, 1315, 21762, 263, 562, 3738, 815, 476, 271, 269, 275, 1315, 21762, 263, 476, 12010, 3738, 815, 476, 271, 269, 275, 1315, 476, 1789, 815, 1280, 1383, 267, 519, 1858, 1063, 1990, 265, 284, 272, 269, 2764, 543, 1990, 15871, 272, 269, 2764, 568, 5111, 476, 271, 269, 3199, 269, 4340, 547, 606, 5239, 476, 273, 267, 476, 1220, 275, 5619, 676, 5240, 15553, 267, 476, 5325, 260, 540, 10805, 17037, 1131, 8917, 585, 3627, 23715, 787, 270, 11990, 29885, 952, 519, 9550, 941, 4371, 593, 602, 1554, 267, 476, 3393, 260, 1131, 8917, 585, 9768, 271, 268, 276, 4097, 268, 31874, 8618, 268, 275, 563, 763, 14345, 540, 5470, 540, 606, 7447, 568, 519, 3368, 2914, 5954, 540, 519, 6015, 8884, 3267, 9745, 853, 10280, 267, 22118, 928, 282, 8751, 5617, 514, 630, 1220, 275, 1040, 834, 1432, 568, 513, 12540, 514, 540, 18438, 8119, 630, 14457, 1040, 634, 14345, 540, 5470, 585, 513, 1880, 10386, 1505, 568, 9247, 519, 1482, 7488, 540, 2436, 519, 2551, 540, 1719, 568, 519, 2450, 540, 513, 1153, 267, 2749, 267, 1533, 267, 610, 2197, 267, 607, 1548, 568, 513, 12540, 514, 540, 18438, 20587, 720, 286, 589, 4351, 3732, 540, 2450, 476, 10384, 25148, 1822, 1822, 1822, 1822, 271, 27501, 510, 1911, 876, 786, 2285, 513, 14345, 540, 5470, 693, 519, 476, 4817, 260, 6015, 1377, 540, 476, 271, 269, 7176, 270, 1911, 267, 610, 476, 271, 269, 27947, 279, 1765, 3286, 896, 476, 272, 10065, 0, 8923, 946, 938, 13561, 3406, 1599, 2630, 547, 1265, 5078, 2472, 585, 707, 9452, 1504, 22627, 2336, 763, 3206, 1983, 2243, 2985, 568, 2966, 607, 513, 4199, 547, 4217, 538, 519, 1646, 540, 2362, 1377, 3206, 1983, 609, 1453, 269, 898, 568, 1759, 593, 25204, 781, 12525, 16860, 543, 5267, 2055, 602, 666, 581, 4280, 693, 1142, 1114, 1377, 585, 1808, 1453, 781, 3332, 563, 8005, 2052, 2422, 281, 11334, 267, 14268, 267, 5516, 326, 1392, 267, 20157, 12579, 454, 12812, 1934, 585, 18467, 547, 946, 15154, 10341, 454, 12812, 1934, 585, 513, 12726, 8525, 454, 1805, 800, 1504, 22627, 3270, 616, 5679, 26860, 543, 5186, 3832, 1540, 12470, 564, 3270, 602, 666, 581, 1031, 547, 2995, 2442, 1453, 781, 2984, 269, 2422, 540, 26095, 10782, 539, 15144, 2429, 2306, 519, 12470, 1115, 4625, 11547, 762, 563, 12812, 1934, 585, 12726, 18963, 630, 1260, 921, 1540, 3785, 994, 1805, 800, 1504, 22627, 12754, 20929, 616, 2966, 547, 4217, 3610, 538, 3232, 7924, 4058, 269, 634, 1079, 547, 1614, 2985, 4199, 10274, 2270, 3875, 6437, 1644, 2238, 602, 666, 581, 6192, 1354, 267, 1282, 267, 543, 1310, 519, 2542, 540, 513, 1650, 269, 1452, 942, 9494, 2200, 2270, 1034, 540, 519, 2609, 602, 596, 949, 2154, 585, 513, 3102, 7924, 1544, 563, 12812, 1934, 585, 2081, 547, 946, 12754, 20929, 454, 12812, 1934, 585, 513, 3732, 12754, 6651, 0, 306, 1222, 20761, 585, 30488, 454, 2421, 12448, 13879, 25844, 19376, 454, 10831, 540, 3817 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4448, 547, 11105, 8731, 6244, 334, 6810, 676, 1797, 540, 3044, 4745, 13164, 269, 589, 1297, 540, 17453, 27103, 2209, 616, 22274, 2234, 6053, 827, 519, 20085, 4745, 1063, 519, 13557, 21650, 269, 1635, 28729, 1437, 908, 519, 27103, 2209, 267, 519, 4745, 536, 1742, 519, 6174, 827, 922, 19976, 7852, 269, 634, 2604, 540, 519, 4478, 5420, 1996, 519, 3001, 6174, 3123, 519, 6174, 547, 2490, 538, 519, 4287, 540, 519, 18846, 269, 13689, 593, 519, 27103, 2209, 15181, 267, 519, 6174, 666, 581, 1500, 547, 18846, 267, 610, 2490, 267, 538, 1022, 4287, 267, 1818, 585, 513, 3810, 23603, 762, 6174, 269, 634, 13994, 1637, 4559, 723, 8465, 3382, 17011, 936, 519, 2230, 1063, 519, 13557, 21650, 865, 607, 547, 1459, 513, 5347, 2627, 547, 519, 4478, 5420, 543, 8754, 711, 3507, 2406, 2333, 519, 8749, 593, 519, 8731, 6244, 334, 563, 30238, 634, 2136, 2276, 540, 3013, 607, 6719, 676, 519, 14199, 540, 519, 13108, 4793, 757, 912, 268, 25674, 20368, 2678, 1436, 540, 7913, 21476, 454, 268, 15089, 641, 14835, 31281, 3737, 11747, 22107, 3547, 585, 18965, 1617, 626, 788, 1979, 665, 520, 4519, 454, 268, 12197, 8848, 9092, 20085, 14015, 6174, 454, 268, 13583, 675, 2409, 11341, 547, 513, 29884, 14251, 1807, 5044, 454, 268, 2098, 7644, 25321, 8656, 589, 2207, 8104, 30600, 6789, 590, 18510, 22552, 2969, 2464, 11123, 5990, 590, 3036, 303, 3582, 6730, 667, 4488, 302, 6573, 5308, 296, 3582, 5508, 9215, 311, 2975, 10758, 294, 3198, 8008, 295, 5308, 15771, 3036, 302, 4785, 17985, 19006, 454, 763, 8798, 4330, 23954, 949, 581, 14475, 543, 1031, 676, 610, 585, 519, 6554, 540, 519, 2136, 2276, 540, 3013, 585, 22257, 5301, 1510, 519, 8569, 540, 1022, 10424, 2906, 972, 517, 610, 4061, 11065, 19272, 294, 4629, 26685, 5508, 5990, 5442, 309, 2894, 3582, 454, 263, 272, 264, 12197, 540, 519, 769, 3685, 454, 763, 1459, 8798, 12211, 547, 606, 14015, 6174, 2348, 513, 1164, 4110, 540, 23603, 1464, 267, 543, 9388, 811, 3226, 609, 606, 14015, 6174, 2348, 3289, 13866, 1227, 957, 18050, 267, 13994, 4327, 10549, 547, 1852, 519, 3350, 540, 519, 6174, 998, 519, 1216, 563, 263, 273, 264, 13517, 540, 519, 13405, 3203, 454, 3519, 14846, 14015, 6472, 267, 971, 607, 8731, 6244, 3996, 267, 616, 2966, 538, 513, 2786, 543, 28608, 6752, 865, 602, 789, 786, 2196, 3020, 269, 1452, 2010, 540, 6472, 616, 3335, 2838, 547, 2196, 693, 1164, 3432, 538, 513, 3622, 2786, 2619, 4724, 513, 3077, 269, 5345, 5297, 2962, 676, 519, 3077, 3340, 519, 6174, 547, 723, 513, 4110, 540, 23603, 1464, 538, 1931, 547, 6707, 4497, 519, 3077, 269, 6008, 1359, 27634, 616, 3177, 267, 3335, 693, 519, 513, 1111, 1439, 540, 519, 6174, 267, 547, 1852, 519, 4287, 540, 519, 6174, 269, 1717, 267, 519, 7145, 540, 519, 27634, 568, 4389, 676, 519, 2786, 543, 28608, 3337, 540, 519, 6174, 269, 6008, 1359, 642, 6951, 949, 849, 581, 3177, 693, 519, 4464, 1439, 540, 519, 6174, 585, 2799, 23603, 1464, 269, 1717, 267, 971, 642, 6951, 7494, 2333, 519, 6174, 781, 8749, 269, 634, 2799, 8749, 1131, 2154, 519, 6174, 547, 723, 513, 3677, 27668, 1770, 610, 519, 6174, 1131, 1847, 811, 7444, 998, 519, 1216, 269, 589, 3677, 27668, 1770, 949, 1267, 538, 2799, 2450, 267, 1942, 543, 2234, 7007, 6846, 267, 543, 513, 14887, 6174, 949, 581, 24835, 762, 540, 1140, 8724, 519, 3077, 563, 5194, 1505, 799, 666, 581, 1031, 547, 23603, 513, 6174, 568, 547, 18846, 519, 6174, 538, 519, 5551, 4287, 540, 2951, 269, 1306, 519, 6174, 12599, 998, 519, 1216, 538, 513, 2786, 2619, 267, 513, 13581, 18846, 540, 519, 4464, 1439, 538, 835, 4287, 1131, 1267, 538, 2799, 2604, 1996, 519, 6587, 2427, 540, 519, 6174, 269, 1280, 1383, 267, 19755, 519, 4464, 1439, 540, 519, 6174, 547, 519, 1318, 540, 519, 3355, 2619, 2164, 538, 2799, 2604, 1996, 519, 2451, 2427, 540, 519, 6174, 269, 634, 2799, 2604, 4229, 519, 6174, 547, 2490, 547, 519, 1318, 269, 1677, 1450, 19755, 540, 519, 6174, 267, 519, 6174, 949, 581, 13994, 4327, 267, 1775, 4318, 1421, 3177, 609, 513, 1297, 540, 8465, 10549, 269, 7201, 4248, 6472, 609, 8465, 10549, 616, 1134, 1634, 538, 519, 1148, 269, 634, 1016, 11302, 1043, 4262, 5721, 540, 1290, 2125, 267, 4793, 269, 3143, 269, 476, 274, 267, 275, 4281, 267, 278, 1556, 267, 814, 513, 1297, 540, 1016, 11302, 1043, 18535, 8043, 13745, 1927, 543, 2966, 547, 581, 6287, 539, 998, 519, 1216, 676, 513, 4464, 27668, 1770, 269, 11576, 832, 1369, 519, 6287, 539, 8043, 19334, 3440, 770, 15450, 799, 2226, 1697, 3448, 26255, 3599, 543, 21477, 10885, 540, 519, 8043, 543, 2226, 519, 6287, 539, 8043, 538, 1899, 609, 519, 27668, 1770, 269, 634, 4464, 27668, 1770, 2488, 519, 4287, 531, 1852, 585, 519, 4262, 5721, 543, 972, 568, 1100, 7271, 1369, 519, 4559, 585, 3246, 1318, 543, 2451, 1852, 540, 519, 4559, 269, 634, 1062, 568, 711, 9862, 585, 14015, 6472, 2348, 606, 513, 1111, 27668, 1770, 267, 971, 607, 2413, 8731, 6244, 3996, 269, 17018, 341, 1245, 267, 4793, 269, 3143, 269, 476, 274, 267, 5379, 272, 267, 279, 3066, 267, 6257, 513, 1062, 585, 8220, 543, 23376, 513, 14593, 6077, 267, 971, 607, 513, 536, 1618, 1373, 14593, 676, 513, 512, 1872, 29539, 269, 634, 1062, 5161, 540, 513, 8471, 23993, 8220, 519, 536, 1618, 543, 512, 1872, 29539, 607, 1134, 607, 17516, 15791, 689, 519, 512, 1872, 29539, 547, 519, 536, 1618, 269, 634, 15791, 616, 2628, 539, 538, 543, 856, 547, 1683, 23376, 540, 519, 536, 1618, 269, 634, 1062, 568, 9862, 585, 2627, 8043, 543, 2488, 4287, 531, 1852, 1152, 538, 513, 8880, 7077, 563, 2467, 568, 513, 991, 547, 1683, 606, 4824, 1505, 540, 23603, 532, 513, 1164, 3432, 267, 513, 1111, 9141, 267, 14015, 6174, 799, 1281, 711, 3507, 2406, 2333, 8749, 610, 2154, 513, 3677, 27668, 1770, 585, 519, 6174, 269, 1717, 267, 2016, 519, 1804, 11891, 543, 5092, 538, 1459, 8731, 6244, 3996, 267, 519, 23603, 532, 1505, 1590, 581, 2111, 547, 581, 27164, 7257, 1369, 519, 2489, 9511, 540, 1459, 8731, 6244, 3996, 543, 1590, 2417, 581, 2111, 547, 8415, 4540, 8731, 6244, 334, 3334, 2529, 9331, 300, 14473, 5508, 5990, 5442, 309, 2894, 3582, 454, 6097, 569, 267, 621, 568, 513, 2489, 3483, 543, 1843, 540, 519, 1459, 8798, 547, 1683, 513, 3810, 23603, 762, 14015, 6174, 799, 15387, 519, 1459, 267, 1279, 20425, 3337, 540, 1459, 8731, 6244, 3996, 563, 5194, 1843, 568, 547, 1683, 513, 3810, 23603, 762, 14015, 6174, 2348, 513, 23603, 532, 1062, 799, 666, 1852, 3350, 540, 519, 8731, 6244, 334, 538, 513, 4999, 540, 8880, 543, 7299, 14742, 950, 519, 8731, 6244, 334, 814, 606, 513, 1111, 27668, 5397, 563, 288, 1869, 2417, 1843, 568, 547, 1683, 513, 23603, 532, 1062, 799, 666, 581, 27164, 7257, 547, 4540, 8731, 6244, 3996, 543, 799, 18252, 1699, 8731, 6244, 334, 3334, 563, 4322, 3615, 616, 12913, 609, 519, 1459, 8798, 676, 3246, 13994, 1637, 4559, 4092, 1063, 519, 2101, 6810, 267, 1775, 4318, 1421, 2766, 13409, 267, 4492, 7382, 543, 31139, 6810, 267, 540, 606, 4540, 8731, 6244, 334, 269, 3962, 13994, 1637, 1770, 5161, 540, 1079, 13557, 21650, 4448, 676, 513, 20085, 4745, 269, 634, 13557, 21650, 616, 4448, 547, 11105, 8731, 6244, 334, 6810, 543, 519, 20085, 4745, 1063, 519, 13557, 21650, 2636, 519, 16070, 10047, 540, 835, 8731, 6244, 334, 3296, 609, 2463, 547, 519, 824, 269, 3962, 13994, 1637, 1770, 814, 513, 1297, 540, 17453, 27103, 2209, 799, 1852, 519, 16070, 10047, 693, 519, 20085, 4745, 269, 634, 13994, 1637, 4559, 723, 8465, 3382, 17011, 936, 519, 2230, 1063, 519, 13557, 21650, 865, 607, 547, 1459, 513, 5347, 2627, 547, 519, 4478, 5420, 543, 8754, 711, 3507, 2406, 2333, 519, 8749, 593, 519, 8731, 6244, 334, 269, 1635, 28729, 1437, 908, 519, 17453, 27103, 2209, 267, 519, 8731, 6244, 334, 666, 581, 1500, 547, 18846, 543, 3976, 23603, 998, 519, 1216, 11065, 6020, 9128, 23370, 31304, 303, 3582, 5508, 5990, 667, 6938, 310, 5058, 306, 454, 288, 811, 2347, 1620, 540, 519, 8798, 543, 1082, 540, 519, 7390, 656, 5383, 972, 1729, 786, 581, 11593, 15874, 607, 519, 1482, 3587, 1732, 6956, 676, 4704, 547, 519, 1739, 2143, 6609, 950, 2808, 538, 14966, 609, 519, 18913, 12400, 13296, 7222, 4704, 3197, 5815, 7222, 2694, 2429, 519, 1896, 5784, 540, 519, 12400, 543, 13296, 912, 20983, 269, 476, 272, 2982, 513, 2427, 2070, 540, 513, 3044, 8731, 6244, 334, 3248, 20983, 269, 476, 273, 2982, 519, 8731, 6244, 334, 540, 16658, 269, 476, 272, 19034, 609, 519, 13994, 1637, 4559, 540, 519, 1459, 8798, 3248, 20983, 269, 476, 274, 2982, 513, 3444, 3296, 531, 2070, 540, 606, 13994, 1637, 1770, 3144, 2059, 519, 7852, 2473, 734, 311, 540, 519, 8731, 6244, 334, 282, 543, 454, 20983, 269, 476, 275, 2982, 513, 2070, 540, 513, 8731, 6244, 334, 609, 519, 27103, 2209, 540, 519, 13994, 1637, 1770, 15181, 585, 7432, 519, 8731, 6244, 334, 6185, 2464, 31304, 303, 3582, 5508, 5990, 28217, 29052, 305, 3633, 661, 11586, 7495, 8379, 7728, 454, 8269, 518, 2590, 1631, 547, 16658, 269, 476, 272, 267, 972, 568, 3254, 513, 2427, 2070, 540, 513, 1991, 1148, 8731, 6244, 334, 476, 1015, 269, 8776, 6244, 334, 476, 1015, 568, 540, 3044, 28608, 20425, 1374, 2348, 2185, 6810, 281, 513, 1852, 3296, 476, 1015, 320, 282, 513, 31139, 3296, 476, 1015, 321, 282, 513, 4492, 7382, 3296, 476, 1015, 322, 282, 543, 513, 2766, 13409, 3296, 476, 1015, 323, 269, 634, 6810, 616, 4448, 676, 1797, 540, 4745, 13164, 476, 1321, 269, 29114, 13409, 3296, 476, 1015, 323, 3568, 519, 27668, 1770, 630, 2254, 3254, 264, 585, 519, 8731, 6244, 334, 799, 7140, 519, 4412, 25527, 476, 1691, 3254, 607, 546, 14414, 9944, 695, 9613, 476, 1626, 269, 29114, 13409, 3296, 476, 1015, 323, 2417, 2882, 14927, 532, 642, 6951, 476, 1240, 543, 7432, 27634, 476, 736, 269, 667, 2086, 532, 642, 6951, 476, 1240, 4196, 547, 2061, 12902, 540, 519, 8731, 6244, 334, 827, 922, 19976, 7852, 2473, 734, 311, 269, 634, 4287, 540, 2951, 540, 8731, 6244, 334, 476, 1015, 568, 5462, 676, 519, 10066, 540, 7432, 27634, 476, 736, 607, 6417, 689, 1852, 3296, 476, 1015, 320, 538, 513, 6073, 1134, 1634, 538, 519, 8731, 6244, 334, 1148, 563, 8269, 518, 2590, 1631, 547, 16658, 269, 476, 273, 267, 8731, 6244, 334, 476, 1015, 568, 3254, 609, 13994, 1637, 4559, 476, 2420, 19034, 1063, 519, 6810, 476, 1015, 320, 1673, 269, 634, 13994, 1637, 4559, 476, 2420, 616, 4448, 1063, 519, 6810, 676, 1797, 540, 606, 3606, 4745, 6512, 476, 1321, 267, 971, 602, 513, 4745, 1063, 6810, 540, 519, 8731, 6244, 334, 1631, 2882, 513, 4745, 6512, 476, 1321, 593, 2901, 2427, 540, 13994, 1637, 1770, 476, 2420, 269, 634, 13994, 1637, 4559, 476, 2420, 616, 1031, 547, 1852, 519, 4287, 540, 2951, 540, 519, 8731, 6244, 334, 971, 602, 7432, 27634, 476, 736, 8612, 538, 16658, 269, 476, 272, 616, 1100, 3476, 2556, 543, 723, 711, 1044, 3254, 538, 16658, 269, 476, 273, 269, 898, 786, 581, 15874, 602, 7432, 27634, 476, 736, 1223, 2611, 547, 1683, 32118, 4287, 531, 1852, 540, 8731, 6244, 334, 476, 1015, 269, 28582, 2590, 1631, 547, 16658, 269, 476, 274, 267, 972, 568, 3254, 513, 3444, 3296, 540, 606, 13994, 1637, 1770, 476, 2420, 8704, 1063, 1079, 6810, 476, 1015, 320, 543, 476, 1015, 321, 540, 8731, 6244, 334, 476, 1015, 267, 3144, 2059, 519, 7852, 2473, 734, 311, 269, 8307, 513, 6712, 540, 8731, 6244, 334, 6810, 476, 1015, 320, 543, 476, 1015, 321, 723, 1044, 3254, 543, 621, 786, 581, 6956, 602, 13994, 1637, 1770, 476, 2420, 949, 581, 8704, 1063, 1022, 1079, 8731, 6244, 334, 6810, 269, 3958, 267, 538, 519, 9053, 20032, 3254, 267, 519, 2934, 540, 13994, 1637, 1770, 476, 2420, 616, 2938, 547, 581, 27101, 827, 519, 7852, 2473, 734, 311, 269, 1280, 9355, 267, 4704, 3197, 585, 930, 2934, 723, 1044, 8612, 593, 1152, 835, 2427, 540, 7852, 2473, 734, 311, 269, 3203, 545, 1637, 1770, 476, 2420, 814, 513, 4464, 13557, 3650, 476, 2190, 543, 606, 513, 1111, 13557, 3650, 476, 2918, 799, 616, 4646, 547, 19898, 609, 8731, 6244, 334, 6810, 476, 1015, 320, 543, 476, 1015, 321, 267, 6606, 267, 543, 609, 4745, 13164 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5591, 2914, 514, 21345, 3510, 454, 4415, 519, 1082, 15076, 2469, 883, 5375, 2342, 689, 2112, 2389, 1941, 2127, 971, 607, 16850, 543, 12925, 267, 594, 993, 1134, 18056, 540, 1250, 960, 609, 24752, 6259, 15076, 538, 519, 4182, 540, 16888, 593, 1312, 519, 5101, 543, 4639, 24434, 540, 519, 16888, 5211, 269, 594, 5249, 609, 519, 631, 3317, 31354, 6239, 9730, 630, 300, 6717, 1070, 513, 8323, 3919, 267, 538, 519, 476, 4198, 271, 338, 563, 21595, 652, 15687, 29240, 2968, 15076, 538, 476, 3707, 279, 267, 1310, 5840, 2968, 513, 1533, 269, 3509, 15076, 19679, 547, 519, 7603, 747, 334, 1858, 267, 1141, 519, 2244, 568, 476, 8517, 3952, 2630, 4262, 1377, 269, 31301, 2137, 10355, 6749, 547, 2630, 476, 3393, 5232, 18278, 538, 5162, 269, 7603, 747, 334, 849, 814, 10036, 3037, 689, 799, 554, 7491, 941, 3710, 2427, 8386, 20933, 676, 543, 585, 519, 15076, 269, 681, 725, 585, 1426, 941, 3177, 676, 519, 2136, 8315, 269, 594, 19443, 538, 631, 6717, 7802, 14778, 547, 519, 15076, 267, 543, 891, 941, 24603, 9660, 689, 519, 2136, 2276, 269, 9861, 513, 21345, 568, 16970, 543, 8966, 10751, 267, 609, 3388, 4503, 4849, 519, 7802, 12816, 269, 27051, 476, 10384, 267, 1822, 6259, 15076, 8507, 689, 519, 1101, 6259, 270, 29994, 328, 2112, 538, 476, 3707, 279, 563, 2467, 941, 5111, 476, 4343, 267, 1822, 15076, 538, 519, 7603, 747, 334, 589, 336, 19487, 808, 629, 4011, 8805, 269, 1703, 941, 824, 3606, 7404, 13122, 971, 607, 661, 514, 29001, 630, 292, 1501, 320, 779, 674, 20667, 1040, 1879, 1101, 4947, 547, 519, 10513, 8092, 267, 594, 5280, 538, 3043, 31290, 23572, 543, 5321, 585, 15076, 538, 21861, 1415, 269, 901, 3177, 585, 1732, 26149, 538, 519, 17743, 902, 269, 1703, 941, 1079, 540, 721, 7555, 593, 513, 21117, 267, 799, 2221, 13013, 11190, 1131, 7494, 7106, 17311, 540, 267, 3257, 519, 3043, 31290, 269, 2311, 835, 1448, 267, 519, 21117, 13264, 1524, 282, 594, 267, 676, 4960, 267, 1336, 513, 15309, 344, 267, 7745, 17970, 593, 519, 2666, 538, 519, 13946, 543, 554, 2459, 1229, 621, 883, 519, 21117, 609, 513, 6149, 269, 1284, 941, 1287, 2111, 547, 3136, 519, 3043, 31290, 269, 13536, 267, 594, 6026, 6259, 21345, 8695, 538, 519, 631, 3317, 31354, 1153, 538, 7603, 747, 334, 543, 849, 6026, 693, 14886, 27258, 3427, 538, 10548, 718, 1695, 267, 2282, 13243, 563, 1103, 476, 3422, 278, 267, 5840, 9676, 519, 1964, 630, 736, 2600, 264, 540, 519, 2244, 540, 21157, 689, 16888, 269, 634, 15076, 689, 589, 336, 19487, 808, 629, 4011, 21345, 3786, 1287, 7962, 1221, 543, 19679, 547, 519, 5101, 7813, 883, 519, 4182, 540, 16888, 269, 11109, 1500, 2947, 2132, 15143, 547, 16888, 267, 594, 723, 1336, 519, 21345, 3510, 1256, 8338, 269, 26219, 15076, 2221, 7904, 4370, 883, 5697, 3864, 2477, 568, 513, 1100, 2914, 514, 3510, 585, 891, 15076, 269, 0, 763, 2817, 5244, 6796, 568, 5275, 1857, 3403, 547, 1489, 519, 1646, 540, 513, 19731, 13734, 4643, 585, 519, 5101, 543, 4639, 623, 1180, 1858, 540, 519, 25706, 7345, 13812, 25083, 269, 634, 1544, 568, 538, 519, 2038, 5933, 540, 1646, 267, 543, 519, 2817, 5244, 6796, 2115, 707, 948, 7114, 1883, 2152, 543, 1761, 2359, 2994, 269, 2913, 721, 917, 1018, 596, 1589, 2336, 1692, 547, 1205, 3238, 454, 12585, 891, 2055, 543, 948, 721, 2697, 2152, 547, 2232, 912, 2252, 596, 4867, 3643, 519, 5101, 610, 4639, 623, 4637, 267, 1018, 798, 596, 2972, 827, 519, 1858, 888, 2252, 596, 798, 711, 7363, 3643, 713, 1858, 267, 568, 972, 1022, 1880, 2601, 1946, 888, 1432, 568, 519, 6288, 3257, 1134, 693, 5101, 610, 4639, 623, 1180, 602, 596, 1131, 899, 547, 1294, 3136, 888, 5970, 596, 8067, 1229, 693, 891, 4609, 538, 519, 2250, 286, 1215, 798, 596, 1589, 519, 6288, 666, 3927, 4497, 13538, 538, 519, 19642, 540, 891, 2127, 630, 5408, 811, 1344, 2630, 25145, 1692, 1131, 596, 899, 547, 1294, 519, 6288, 2936, 519, 5075, 540, 519, 476, 1001, 275, 4937, 5004, 4643, 888, 8923, 6494, 4267, 547, 519, 715, 4916, 12020, 267, 5113, 543, 5398, 19410, 3896, 630, 10059, 2517, 335, 1046, 680, 8911, 8542, 1186, 10993, 13478, 974, 2072, 1222, 23945, 1070, 610, 13875, 873, 547, 519, 1739, 2232, 912, 294, 622, 3118, 2817, 28046, 9351, 454, 13975, 1715, 3840, 22971, 2676, 16920, 333, 281, 5101, 543, 4639, 623, 1180, 19731, 13734, 4643, 454, 21809, 523, 6816, 267, 12924, 476, 9818, 4962, 454, 763, 6085, 1974, 32195, 593, 4873, 476, 278, 267, 476, 1708, 273, 563, 288, 5691, 1930, 2777, 729, 18799, 593, 2904, 476, 1704, 269, 3807, 1616, 513, 5299, 540, 519, 6881, 286, 3371, 621, 568, 563, 29919, 7046, 5600, 547, 1865, 519, 5101, 543, 4639, 623, 1180, 19731, 13734, 4643, 563, 21761, 18542, 5999, 454, 1432, 13664, 1858, 786, 519, 5101, 543, 4639, 623, 1180, 19731, 13734, 4643, 3382, 888, 763, 9165, 540, 519, 2359, 1544, 568, 519, 5101, 543, 4639, 623, 4637, 593, 681, 592, 619, 4446, 670, 817, 1442, 547, 519, 5087, 540, 16340, 19305, 267, 607, 1134, 607, 519, 4478, 2127, 3015, 547, 8436, 540, 519, 25706, 7345, 13812, 25083, 6250, 3218, 4741, 543, 922, 4478, 18162, 543, 4612, 894, 15225, 563, 1432, 568, 519, 3483, 540, 519, 5101, 543, 4639, 623, 1180, 19731, 13734, 4643, 286, 1215, 1281, 621, 9305, 547, 1991, 4566, 888, 763, 2063, 6101, 1544, 585, 519, 5101, 543, 4639, 623, 1180, 1858, 729, 6192, 538, 476, 2735, 272, 269, 13518, 814, 4957, 2094, 1287, 281, 2916, 1689, 543, 4262, 1377, 4473, 723, 13175, 547, 21279, 519, 1858, 282, 7649, 5092, 538, 519, 25083, 814, 2799, 282, 519, 5888, 540, 18508, 543, 21426, 814, 2849, 335, 1117, 282, 7226, 814, 1044, 9927, 282, 543, 715, 4916, 2359, 4507, 723, 7960, 269, 1306, 4683, 1646, 5170, 543, 2067, 3338, 616, 12012, 2066, 519, 23195, 1858, 267, 519, 25083, 814, 1831, 811, 1271, 982, 2479, 267, 1312, 547, 519, 20276, 656, 5065, 2371, 543, 2831, 8200, 2390, 922, 9249, 585, 741, 6668, 267, 543, 547, 519, 1004, 945, 1265, 11005, 543, 18399, 972, 16638, 602, 2796, 267, 519, 3483, 540, 713, 1544, 568, 547, 8190, 543, 2149, 713, 11537, 1858, 676, 7114, 543, 3384, 2994, 547, 4434, 2359, 3853, 538, 1896, 2127, 269, 634, 19731, 13734, 4643, 786, 2697, 2359, 3527, 1644, 547, 519, 4027, 540, 2200, 1519, 15195, 22253, 267, 27436, 6177, 2249, 267, 17055, 7320, 2249, 267, 12748, 2200, 267, 10575, 663, 9249, 267, 2357, 2522, 20115, 267, 19126, 267, 543, 4992, 7870, 269, 634, 19731, 13734, 4643, 786, 849, 7291, 6859, 1644, 547, 2502, 513, 3309, 2146, 540, 8436, 543, 13538, 267, 5883, 513, 7347, 15321, 13781, 267, 2069, 543, 7664, 267, 543, 3246, 3255, 585, 4797, 1857, 946, 543, 18399, 540, 519, 5101, 543, 4639, 623, 1180, 1858, 563, 1692, 1281, 519, 5101, 543, 4639, 623, 1180, 19731, 13734, 4643, 9305, 547, 519, 6288, 779, 4937, 5004, 4643, 888, 763, 13057, 3561, 585, 519, 5101, 543, 4639, 623, 1180, 1858, 568, 19835, 3118, 779, 476, 1001, 275, 4937, 5004, 4643, 630, 294, 6573, 1070, 799, 2488, 513, 476, 736, 4458, 5075, 585, 519, 3003, 6288, 269, 634, 717, 6573, 3964, 6288, 2359, 10851, 547, 4766, 519, 5551, 2175, 585, 6288, 2200, 543, 21233, 2833, 538, 1142, 1858, 540, 519, 6288, 269, 634, 3003, 5101, 543, 4639, 623, 1180, 1858, 8813, 538, 519, 7849, 18630, 267, 799, 11225, 3768, 324, 975, 539, 2127, 602, 616, 7307, 547, 8190, 2067, 2200, 1247, 849, 3850, 585, 930, 12809, 18883, 543, 18399, 267, 971, 607, 6972, 543, 7320, 13156, 269, 10738, 519, 7849, 18630, 267, 519, 2027, 6213, 4199, 1016, 29773, 11225, 2067, 2127, 602, 15549, 519, 5207, 1377, 540, 4027, 267, 971, 607, 519, 5101, 543, 4639, 623, 4637, 2933, 543, 741, 11105, 6070, 332, 1513, 1127, 269, 1452, 2127, 616, 3617, 585, 3621, 7634, 267, 5464, 267, 543, 11808, 267, 855, 1857, 1569, 568, 11658, 547, 7413, 5222, 269, 8802, 8973, 5752, 267, 519, 717, 6573, 1572, 585, 519, 25706, 7345, 13812, 25083, 547, 2611, 513, 2442, 10278, 585, 2470, 1353, 267, 2825, 2069, 267, 543, 2470, 2861, 7664, 1247, 2502, 6107, 543, 3885, 998, 2470, 2861, 3872, 543, 19642, 3292, 269, 3204, 8973, 5989, 267, 519, 717, 6573, 9788, 519, 24536, 585, 606, 9450, 3060, 540, 18162, 267, 4604, 19789, 802, 543, 2470, 1353, 6703, 630, 324, 3052, 1421, 1085, 8554, 267, 9420, 338, 267, 8343, 1232, 802, 264, 547, 7520, 1582, 28621, 3660, 3408, 607, 1134, 607, 4612, 633, 19150, 543, 3872, 5752, 2429, 519, 7849, 18630, 269, 3204, 8973, 2200, 267, 519, 717, 6573, 1572, 585, 9249, 693, 25706, 7345, 13812, 25083, 267, 1519, 519, 5101, 543, 4639, 623, 4637, 267, 547, 581, 6870, 543, 9738, 267, 2523, 547, 1489, 513, 4763, 540, 27436, 5017, 269, 7053, 267, 519, 717, 6573, 7125, 585, 519, 9675, 547, 2333, 27436, 6177, 8446, 267, 10203, 267, 543, 1382, 269, 634, 19731, 13734, 4643, 11394, 547, 4434, 1142, 540, 891, 1463, 1161, 689, 519, 717, 6573, 676, 13994, 6819, 3853, 267, 6859, 267, 543, 2404, 2359, 2994, 563, 1432, 568, 519, 15415, 585, 519, 1646, 540, 519, 5101, 543, 4639, 623, 1180, 19731, 13734, 4643, 286, 1879, 786, 519, 1857, 723, 3403, 883, 519, 1544, 888, 294, 622, 3118, 568, 4867, 5275, 2038, 1857, 6278, 593, 2152, 547, 581, 9619, 610, 11117, 538, 713, 1544, 269, 589, 1883, 1900, 538, 519, 1857, 6278, 568, 513, 5691, 1930, 2777, 547, 581, 4371, 593, 2904, 476, 1704, 267, 476, 1708, 273, 693, 476, 278, 281, 876, 533, 6230, 1421, 1282, 799, 715, 4916, 5234, 786, 6338, 519, 19731, 13734, 4643, 4674, 269, 19893, 616, 849, 9415, 547, 10505, 2055, 538, 4434, 540, 519, 2680, 950, 789, 11578, 269, 2859, 1344, 827, 713, 2680, 267, 1519, 14261, 267, 666, 581, 1336, 1934, 281, 4179, 2517, 560, 1168, 1841, 327, 2089, 17427, 4318, 1203, 321, 1679, 2593, 269, 5804, 4989, 476, 2918, 547, 4873, 476, 278, 267, 476, 1708, 273, 267, 2043, 267, 2229, 8041, 267, 1875, 268, 7443, 543, 585, 17416, 3906, 616, 849, 20888, 547, 1683, 5955, 998, 519, 715, 4916, 12020, 267, 5113, 543, 5398, 19410, 3896, 630, 10059, 2517, 335, 1046, 680, 8911, 8542, 1186, 10993, 13478, 974, 2072, 1222, 23945, 264, 25791, 2923, 31822, 22017, 3118, 333, 1186, 593, 9365, 610, 12108, 1070, 610, 538, 1603, 693, 19835, 3118, 2817, 28046, 9351, 630, 2969, 307, 301, 281, 5101, 543, 4639, 623, 1180, 19731, 13734, 4643, 1070, 476, 13975, 1715, 3840, 22971, 267, 6465, 523, 6816, 267, 1715, 3840, 476, 9818, 4962, 269, 5475, 519, 1857, 6085, 1974, 32195, 593, 4873, 476, 278, 267, 476, 1708, 273, 267, 715, 4916, 5234, 786, 2689, 3403, 4607, 543, 6451, 8292, 883, 519, 1646, 540, 513, 8908, 19731, 13734, 4643, 269, 19835, 3118, 786, 849, 3132, 513, 3561, 6029, 875, 621, 814, 2808, 267, 11117, 267, 543, 11368, 1857, 5955, 269, 2060, 713, 3403, 538, 1688, 267, 715, 4916, 5234, 786, 2263, 14323, 2035, 543, 2994, 267, 3313, 4143, 10832, 543, 29676, 267, 543, 5531, 1344, 543, 6791, 7868, 1267, 540, 713, 4674, 786, 581, 513, 8908, 19731, 13734, 4643, 602, 786, 10929, 1857, 543, 30393, 2689, 1354, 715, 4916, 5234, 6218, 10220, 543, 15360, 2115, 267, 2347, 15360, 543, 10220, 267, 543, 3803, 1125, 519, 1544, 269, 4438, 519, 6388, 5123, 267, 519, 19731, 13734, 4643, 786, 1489, 519, 1646, 540, 3044, 5665, 10873, 602, 786, 1291, 547, 519, 5551, 4093, 4857, 538, 519, 4643, 585, 519, 5101, 543, 4639, 623, 4637, 269, 634, 19731, 13734, 4643, 786, 1683, 513, 31387, 585, 7674, 8436, 543, 25137, 2067, 2200, 936, 519, 1985, 2947, 3562, 268, 1084, 1296, 269, 0, 1692, 1082, 2609, 814, 623, 10490, 1070, 952, 589, 815, 3852, 355, 888, 2171, 917, 602, 952, 589, 568, 513, 1305, 609, 544, 2609, 1775, 4318, 1421, 562, 10490, 264, 815, 544, 267, 1287, 562, 314, 303, 10490, 13580, 815, 476, 273, 332, 563, 2252, 589, 815, 3852, 355, 267, 1287, 562, 10490, 264, 815, 476, 271, 563, 30043, 562, 314, 303, 10490, 13580, 815, 476, 736, 815, 476, 272, 454, 17798, 267, 623, 10490, 264, 814, 835, 3693, 563, 3674, 972, 606, 5470, 538, 713, 2243, 610, 3070, 888, 21581, 20861, 338, 1280, 2353, 23527, 0, 292, 4777, 6833, 2350, 27198, 10361, 267, 5484, 514, 8003, 267, 13280, 267, 1309, 269, 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 ]
[ 269, 670, 269, 12844, 652, 324, 601, 4083, 729, 538, 4971, 689, 4873, 2394, 5437, 476, 3707, 275, 267, 543, 20727, 269, 2637, 269, 670, 269, 595, 269, 2398, 3430, 729, 538, 4971, 689, 5412, 476, 3707, 275, 2394, 5437, 476, 3707, 276, 267, 1310, 519, 2673, 540, 3984, 1988, 269, 634, 8109, 16470, 16710, 267, 8385, 1572, 29036, 16470, 16710, 267, 729, 27648, 593, 476, 1704, 4728, 476, 3707, 272, 267, 2059, 609, 519, 824, 18626, 772, 269, 590, 269, 8878, 12981, 269, 898, 729, 2699, 30472, 730, 519, 8109, 26308, 540, 15051, 593, 476, 2190, 5412, 476, 3707, 272, 269, 4438, 782, 713, 1974, 700, 339, 269, 2637, 269, 670, 269, 589, 269, 3220, 636, 729, 21276, 569, 16710, 532, 4937, 267, 3689, 8136, 543, 8109, 630, 301, 677, 8603, 264, 16470, 16710, 630, 763, 831, 540, 15051, 1040, 634, 8109, 26308, 540, 15051, 729, 10411, 21114, 519, 8109, 16470, 16710, 476, 1556, 4728, 476, 3707, 273, 269, 4937, 3220, 636, 729, 16309, 538, 1312, 19206, 538, 476, 3707, 274, 676, 700, 339, 269, 2637, 269, 6723, 6182, 684, 1068, 267, 945, 6039, 607, 16710, 532, 4937, 267, 8109, 16470, 16710, 267, 476, 279, 5239, 476, 3707, 274, 268, 4029, 5147, 476, 3707, 276, 269, 23394, 269, 2637, 269, 918, 269, 623, 269, 7083, 2968, 2920, 532, 16710, 532, 4937, 267, 8109, 16470, 16710, 267, 476, 272, 4864, 476, 3707, 276, 543, 4371, 519, 2022, 2394, 476, 1428, 4728, 476, 3707, 277, 267, 950, 519, 4971, 729, 19944, 4240, 269, 634, 6239, 543, 8828, 16470, 2155, 1343, 267, 519, 6967, 18626, 772, 269, 590, 269, 12981, 267, 941, 2760, 519, 11596, 540, 4238, 563, 27987, 547, 519, 7305, 540, 12937, 454, 8310, 8242, 476, 866, 5239, 476, 1220, 275, 0, 4504, 571, 5025, 20294, 11831, 3019, 623, 18804, 454, 290, 3300, 335, 6160, 566, 538, 799, 513, 23028, 1770, 15222, 1242, 609, 519, 3461, 781, 6850, 15258, 328, 6945, 6385, 25361, 513, 17891, 538, 519, 513, 677, 320, 609, 26775, 610, 3327, 8166, 538, 2038, 1019, 770, 1961, 543, 17355, 340, 919, 519, 17891, 693, 519, 12614, 540, 30918, 1961, 269, 1306, 519, 17891, 4870, 919, 267, 621, 12651, 513, 20294, 1019, 770, 4301, 2604, 267, 543, 607, 621, 1219, 331, 919, 267, 621, 24506, 513, 20294, 30918, 4301, 2604, 269, 634, 1267, 568, 513, 6175, 538, 2451, 5887, 14152, 960, 543, 2799, 26961, 658, 543, 15672, 13526, 4288, 563, 2750, 947, 633, 13250, 540, 3063, 341, 6018, 5714, 538, 519, 5761, 267, 606, 16315, 540, 513, 3978, 5817, 2068, 610, 4524, 269, 17240, 14004, 30046, 11151, 3608, 623, 8085, 300, 2177, 14473, 717, 3008, 12327, 6224, 3198, 12283, 538, 519, 623, 8085, 300, 2177, 14473, 9338, 12717, 25459, 267, 543, 666, 581, 1272, 18446, 563, 22102, 15450, 267, 1419, 15498, 762, 267, 2966, 585, 17303, 21528, 519, 2295, 267, 2356, 519, 700, 9128, 307, 966, 7728, 30278, 4041, 267, 547, 6802, 1973, 269, 1358, 2874, 540, 513, 23028, 12068, 543, 513, 1379, 2707, 267, 799, 949, 581, 13148, 610, 11207, 5007, 547, 519, 1560, 543, 15181, 676, 13590, 16546, 563, 303, 18804, 602, 11226, 519, 2067, 2534, 540, 519, 2295, 269, 630, 291, 528, 1633, 267, 476, 2767, 628, 1196, 994, 15761, 2350, 23705, 648, 531, 6490, 1962, 2033, 27488, 566, 454, 17951, 328, 6955, 7360, 267, 11831, 3019, 267, 20840, 776, 454, 763, 11808, 540, 1973, 3761, 547, 519, 26961, 1756, 269, 630, 5804, 16910, 1633, 267, 476, 2764, 628, 1196, 994, 8196, 540, 1102, 16272, 540, 674, 296, 16576, 2562, 5357, 312, 12087, 17985, 19006, 547, 6861, 610, 23271, 555, 668, 6798, 538, 1973, 8043, 610, 21271, 21910, 338, 563, 9391, 303, 3583, 14333, 27691, 1442, 26287, 1231, 454, 763, 2360, 267, 1312, 2199, 543, 11528, 267, 3361, 676, 519, 11116, 540, 14662, 3036, 303, 12778, 306, 563, 288, 4480, 585, 21528, 519, 10009, 676, 13302, 519, 1310, 2903, 540, 519, 2451, 28602, 548, 543, 11160, 13586, 519, 1019, 770, 4301, 2604, 269, 898, 949, 581, 6913, 676, 12499, 8584, 20294, 17891, 267, 610, 676, 5579, 13589, 513, 2027, 23028, 3926, 538, 519, 9221, 267, 610, 608, 27238, 676, 7311, 513, 2942, 2604, 547, 519, 2539, 17119, 885, 1282, 13487, 30918, 1961, 563, 294, 25353, 275, 3690, 5524, 16748, 454, 13434, 1800, 540, 519, 4090, 3562, 2173, 30291, 30402, 12067, 4229, 540, 519, 16777, 11286, 607, 15810, 5196, 1585, 4609, 593, 519, 1560, 781, 2627, 267, 30431, 730, 607, 513, 22185, 1599, 540, 942, 269, 634, 10916, 568, 16913, 676, 513, 16439, 593, 3500, 3001, 5750, 1957, 610, 676, 11287, 621, 593, 513, 3556, 3930, 322, 2100, 267, 799, 568, 513, 595, 26059, 7495, 292, 17241, 312, 570, 18510, 292, 20591, 303, 6369, 312, 563, 11947, 268, 21328, 1744, 1442, 31515, 454, 11947, 268, 600, 680, 3363, 13496, 6329, 267, 2066, 799, 5860, 267, 2604, 267, 543, 9325, 6991, 1689, 20427, 269, 634, 7344, 3196, 689, 891, 8710, 6329, 666, 581, 1031, 585, 2964, 1227, 27200, 8031, 543, 12074, 563, 305, 14508, 2762, 540, 519, 15466, 1062, 540, 519, 2295, 4887, 1310, 13297, 540, 513, 4334, 5420, 563, 22137, 1031, 547, 1449, 1696, 328, 11043, 19165, 538, 799, 31921, 827, 606, 4598, 547, 2322, 894, 21465, 2188, 616, 6508, 689, 1239, 11341, 547, 4162, 540, 7606, 896, 1353, 610, 547, 2621, 610, 2833, 538, 741, 2250, 269, 634, 1898, 4183, 568, 602, 930, 540, 519, 7606, 896, 1353, 723, 519, 2068, 610, 6364, 540, 1719, 543, 741, 4162, 616, 3379, 609, 1346, 540, 19448, 26327, 7606, 563, 1103, 11987, 3157, 540, 519, 16757, 6821, 540, 519, 2295, 630, 300, 312, 8016, 2752, 14888, 9331, 264, 799, 1267, 538, 5945, 547, 519, 13487, 4887, 2281, 630, 300, 312, 8016, 312, 307, 2464, 267, 27334, 14888, 3722, 1040, 2494, 28685, 725, 2039, 689, 1016, 30570, 547, 6727, 2669, 630, 14701, 26059, 267, 590, 11070, 291, 2894, 1040, 3733, 18201, 4345, 538, 7681, 609, 13487, 14524, 568, 9286, 607, 12982, 27334, 14888, 6865, 312, 8008, 2969, 14176, 2356, 3361, 676, 5442, 293, 4488, 3582, 267, 16991, 3676, 267, 610, 6114, 547, 6757, 6878, 269, 3733, 18201, 4345, 568, 849, 513, 1455, 2014, 540, 667, 6579, 28714, 27334, 14888, 6865, 312, 8008, 2969, 14176, 543, 824, 6315, 3912, 13771, 625, 563, 288, 23644, 2451, 5887, 14152, 3284, 673, 14524, 610, 17891, 532, 10483, 676, 6850, 15258, 328, 4919, 630, 4488, 294, 264, 570, 5951, 538, 951, 687, 269, 901, 25983, 1275, 568, 2404, 609, 1164, 2157, 540, 29640, 17248, 5357, 4456, 2562, 2464, 267, 2901, 13950, 610, 1439, 4094, 3585, 9658, 1540, 689, 513, 10510, 610, 1282, 3665, 2566, 563, 25332, 3569, 540, 513, 2551, 585, 513, 6190, 1297, 540, 7606, 936, 513, 6190, 1297, 540, 1296, 547, 5352, 11841, 610, 9019, 3928, 7766, 547, 519, 5542, 540, 519, 1353, 1895, 563, 29587, 22859, 20567, 267, 5403, 268, 14813, 541, 794, 454, 299, 659, 3130, 610, 751, 2130, 540, 13487, 8031, 17729, 1310, 31253, 8016, 2752, 14888, 3201, 5442, 293, 2752, 290, 3582, 563, 17357, 517, 776, 5516, 19590, 454, 763, 6413, 1770, 538, 799, 2550, 609, 8650, 13487, 4713, 4309, 14021, 1416, 563, 21296, 5029, 23299, 454, 291, 1392, 542, 540, 519, 2095, 540, 1973, 689, 519, 13675, 540, 519, 1318, 693, 8922, 2047, 547, 519, 513, 677, 320, 630, 528, 3185, 7394, 16050, 264, 3842, 606, 5135, 1807, 3976, 21271, 532, 1312, 519, 2295, 543, 9641, 563, 288, 26945, 2783, 538, 799, 519, 2295, 568, 8572, 547, 6802, 856, 6190, 1973, 547, 2743, 519, 10894, 991, 540, 519, 1560, 269, 9839, 5821, 666, 581, 3361, 676, 7293, 12889, 267, 6198, 17244, 630, 309, 7728, 30278, 8085, 2752, 667, 22076, 293, 7419, 290, 3582, 1070, 610, 513, 6727, 20358, 3564, 922, 4390, 269, 18127, 2295, 5821, 568, 811, 1455, 982, 8650, 2295, 5821, 799, 2164, 689, 6727, 29405, 547, 13487, 1599, 267, 971, 607, 31253, 8016, 2752, 14888, 3201, 5442, 293, 2752, 290, 3582, 563, 26073, 1670, 2175, 5473, 519, 16777, 11286, 1519, 922, 7293, 543, 6198, 17244, 563, 17357, 517, 776, 1488, 6670, 1635, 10139, 454, 9391, 303, 3445, 14333, 27691, 1442, 26287, 1231, 454, 288, 1362, 540, 17834, 28421, 8085, 2752, 8863, 4338, 2207, 2177, 2464, 4171, 2818, 957, 538, 519, 7271, 540, 590, 5456, 2793, 299, 13138, 3198, 16256, 10813, 3582, 676, 5254, 2207, 302, 2839, 23414, 7968, 307, 27633, 563, 7093, 19387, 2281, 30758, 547, 16174, 883, 13487, 1250, 14231, 630, 300, 312, 8016, 312, 307, 2464, 267, 27334, 14888, 3722, 1916, 288, 1362, 540, 8579, 5773, 585, 21501, 519, 6668, 1599, 630, 10818, 540, 942, 267, 4358, 609, 513, 2551, 476, 1911, 260, 1134, 693, 513, 2016, 942, 543, 3246, 519, 6871, 540, 519, 2551, 1869, 1134, 693, 2663, 2053, 1040, 634, 6668, 2079, 568, 1287, 1031, 585, 1818, 31921, 827, 519, 2360, 540, 5574, 267, 1322, 333, 8251, 2188, 267, 23927, 267, 543, 824, 23656, 919, 593, 519, 1599, 563, 309, 550, 14152, 20029, 531, 22859, 20567, 454, 299, 659, 3130, 610, 751, 2130, 540, 519, 966, 7728, 30278, 8085, 2752, 590, 7968, 307, 9331, 267, 2356, 3361, 676, 31253, 8016, 2752, 14888, 3201, 5442, 293, 2752, 290, 3582, 563, 16676, 6681, 15474, 5794, 3118, 16242, 454, 288, 4480, 540, 7929, 3797, 267, 538, 2901, 31380, 7244, 610, 2964, 1227, 5887, 23624, 2550, 267, 538, 799, 21572, 2604, 568, 9738, 1657, 11626, 2604, 2429, 519, 7929, 4783, 676, 2046, 584, 1436, 540, 519, 5887, 559, 2218, 5547, 269, 630, 4002, 6441, 710, 6481, 9218, 1496, 25542, 4940, 1715, 31069, 2390, 14977, 928, 263, 20084, 2567, 634, 2160, 1546, 696, 269, 540, 6481, 2201, 19223, 281, 634, 9435, 25446, 289, 5741, 282, 524, 1960, 278, 268, 1220, 274, 1496, 322, 1243, 476, 1220, 274, 4455, 476, 1704, 4940, 12232, 689, 281, 5291, 2517, 4754, 1356, 19986, 8542, 743, 28482, 16896, 270, 558, 323, 270, 994, 294, 2940, 20309, 19938, 267, 25833, 454, 9391, 303, 2767, 14333, 27691, 1442, 26287, 1231, 454, 288, 1016, 26967, 540, 1507, 3002, 6879, 1442, 5946, 602, 1599, 607, 7636, 669, 1653, 2158, 602, 5351, 538, 1201, 13783, 540, 1875, 28921, 5946, 269, 1358, 1404, 513, 8825, 1909, 602, 4679, 10408, 6668, 1282, 2053, 540, 2566, 563, 29587, 4406, 557, 1160, 560, 4185, 1955, 8690, 566, 454, 306, 17790, 24450, 540, 10991, 1570, 547, 7816, 13676, 610, 30428, 2295, 17901, 563, 294, 25353, 276, 3690, 5524, 16748, 454, 288, 1895, 594, 669, 1653, 13908, 3940, 602, 3029, 519, 22902, 6438, 2497, 540, 519, 669, 1653, 13908, 1950, 269, 898, 568, 606, 23731, 9593, 545, 3940, 609, 513, 10058, 2497, 540, 27552, 1016, 28493, 267, 11231, 538, 1079, 14034, 540, 5722, 1016, 28493, 1142, 269, 634, 3940, 729, 8385, 6594, 538, 645, 3722, 9898, 8656, 1141, 621, 568, 4122, 5219, 547, 607, 23108, 5085, 3940, 563, 12179, 1505, 540, 5841, 7244, 602, 18271, 7344, 610, 1875, 24578, 22817, 1797, 547, 3196, 519, 2011, 883, 543, 856, 540, 519, 9641, 269, 14464, 19344, 610, 14910, 568, 1031, 538, 2043, 945, 723, 11074, 7244, 610, 723, 19419, 303, 7644, 2969, 12088, 5442, 24746, 13697, 2975, 296, 27301, 312, 547, 2333, 741, 6981, 540, 5135, 630, 302, 273, 264, 543, 608, 17917, 540, 3327, 8166, 630, 4596, 273, 1916, 21809, 6750, 3631, 799, 4766, 519, 2078, 1063, 513, 12007, 8200, 4756, 630, 7474, 568, 267, 835, 799, 666, 1491, 1152, 1978, 15768, 2418, 267, 971, 607, 519, 4527, 610, 9000, 540, 513, 2068, 264, 543, 606, 4830, 4756, 269, 589, 1455, 3498, 568, 538, 27496, 585, 21501, 606, 1367, 781, 1981, 630, 22238, 1464, 540, 513, 2068, 264, 607, 513, 1599, 540, 513, 2016, 1981, 3815, 563, 288, 1895, 540, 3676, 538, 799, 519, 8789, 4183, 568, 519, 9525, 540, 519, 27334, 14888, 3722, 631, 4785, 290, 4041, 3294, 269, 9315, 328, 3912, 13771, 625, 616, 9286, 2687, 547, 741, 12880, 2619, 19398, 8344, 2934, 630, 291, 6579, 28714, 27334, 14888, 6865, 312, 8008, 2969, 14176, 282, 670, 24688, 12224, 4629, 15771, 2975, 27334, 14888, 6865, 312, 8008, 2969, 14176, 282, 681, 12239, 30278, 20937, 27334, 14888, 6865, 312, 8008, 2969, 14176, 264, 610, 741, 1696, 8344, 9706, 987, 1670, 2188, 630, 290, 2752, 14888, 6865, 312, 8008, 2969, 14176, 267, 9338, 4596, 295, 5357, 2975, 282, 13673, 291, 8016, 2752, 14888, 3201, 674, 29368, 4629, 5085, 17129, 5308, 3041, 1916, 288, 1305, 540, 2553, 1031, 950, 8390, 538, 1896, 4632, 814, 547, 581, 6594, 8195, 269, 769, 7194, 267, 1617 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2750, 4624, 476, 271, 267, 271, 547, 711, 581, 3330, 1899, 4840, 825, 7682, 630, 2254, 561, 275, 18994, 318, 1231, 728, 263, 273, 267, 476, 279, 24270, 834, 2750, 4624, 476, 273, 267, 279, 547, 711, 581, 3330, 1899, 5016, 825, 1948, 2638, 17781, 454, 825, 524, 272, 815, 17781, 263, 272, 267, 476, 272, 267, 476, 276, 994, 825, 7682, 630, 322, 272, 10947, 318, 31709, 3890, 2652, 476, 276, 1070, 834, 2750, 4624, 476, 276, 855, 3893, 834, 1341, 1193, 6262, 272, 10947, 318, 31709, 15405, 825, 7682, 630, 322, 272, 10947, 30648, 9014, 3890, 2652, 630, 273, 265, 4118, 32564, 265, 276, 24270, 834, 2750, 4624, 476, 1015, 265, 7032, 855, 3893, 834, 1341, 1193, 6262, 272, 10947, 30648, 9014, 15405, 825, 7682, 630, 322, 272, 10947, 318, 19327, 3890, 2652, 630, 4118, 32564, 265, 1839, 24270, 834, 2750, 4624, 476, 1839, 265, 7032, 855, 3893, 834, 1341, 1193, 6262, 272, 10947, 318, 19327, 15405, 825, 7682, 630, 322, 272, 18994, 318, 1231, 728, 263, 273, 267, 476, 273, 24270, 834, 2750, 4624, 476, 273, 267, 273, 547, 581, 3330, 5858, 4840, 825, 7682, 630, 2254, 524, 272, 18994, 318, 1231, 728, 263, 278, 267, 476, 273, 24270, 834, 2750, 4624, 476, 278, 267, 273, 547, 711, 581, 3330, 5858, 4840, 825, 7682, 630, 2254, 524, 272, 18994, 318, 1231, 728, 263, 274, 267, 476, 736, 24270, 834, 2750, 4624, 476, 274, 267, 736, 547, 711, 581, 3330, 5858, 5016, 825, 1948, 2638, 13551, 454, 825, 678, 272, 815, 25351, 4120, 8987, 1015, 267, 476, 736, 267, 476, 1911, 267, 476, 1911, 994, 825, 7682, 630, 337, 272, 10947, 13448, 3890, 2652, 910, 1015, 1070, 834, 2750, 4624, 910, 1015, 855, 3893, 834, 1341, 1193, 16868, 272, 10947, 13448, 15405, 825, 7682, 630, 337, 272, 10947, 14729, 3890, 2652, 476, 736, 1070, 834, 2750, 4624, 476, 736, 855, 3893, 834, 1341, 1193, 16868, 272, 10947, 14729, 15405, 825, 7682, 630, 337, 272, 10947, 30648, 9014, 3890, 2652, 476, 6110, 1070, 834, 2750, 4624, 476, 6110, 855, 3893, 834, 1341, 1193, 16868, 272, 10947, 30648, 9014, 15405, 825, 7682, 630, 337, 272, 10947, 318, 19327, 3890, 2652, 476, 1015, 318, 1822, 1070, 834, 2750, 4624, 476, 1015, 267, 1822, 855, 3893, 834, 1341, 1193, 16868, 272, 10947, 318, 19327, 15405, 825, 7682, 630, 337, 272, 18994, 318, 1231, 728, 263, 2004, 267, 476, 2568, 24270, 834, 2750, 4624, 476, 2004, 267, 476, 2568, 547, 581, 3330, 13551, 4840, 825, 7682, 630, 2254, 678, 272, 18994, 318, 1231, 728, 263, 2412, 267, 476, 271, 24270, 834, 2750, 4624, 476, 2412, 267, 476, 271, 547, 711, 581, 3330, 13551, 5016, 454, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1292, 4590, 0, 3698, 1183, 9109, 263, 6919, 8029, 825, 24008, 815, 1412, 9590, 292, 5495, 262, 1477, 825, 795, 4548, 815, 338, 9285, 263, 6919, 5157, 281, 329, 316, 585, 1775, 267, 1535, 538, 26246, 263, 6919, 264, 585, 795, 538, 2039, 9217, 1341, 476, 272, 267, 7003, 263, 6919, 264, 1341, 476, 272, 264, 952, 1535, 538, 24008, 3418, 825, 1820, 27203, 4548, 3418, 825, 2132, 7003, 27203, 4548, 3418, 3698, 588, 22115, 263, 6919, 8029, 825, 24008, 815, 1412, 9590, 292, 5495, 262, 1477, 825, 795, 4548, 815, 338, 9285, 263, 6919, 5157, 281, 329, 316, 585, 1775, 267, 1535, 538, 26246, 263, 6919, 264, 585, 795, 538, 2039, 9217, 1341, 476, 272, 267, 7003, 263, 6919, 264, 1341, 476, 272, 264, 952, 1535, 711, 538, 24008, 3418, 825, 1820, 27203, 4548, 3418, 825, 2132, 12759, 27203, 4548, 264, 10142, 3698, 1292, 263, 28128, 8029, 825, 952, 588, 22115, 263, 28128, 264, 3436, 1183, 9109, 630, 28128, 8029, 1038, 2132, 1412, 560, 22115, 2367, 836, 262, 1477, 825, 8640, 588, 22115, 263, 28128, 264, 2652, 1183, 9109, 630, 28128, 8029, 1038, 2132, 1412, 338, 29800, 262, 1477, 825, 3116, 6769, 1038, 2132, 1412, 651, 9109, 2367, 836, 262, 5897, 2745, 9852, 664, 3488, 291, 5058, 291, 5058, 291, 2177, 31270, 5058, 307, 3201, 298, 262, 4297, 0, 12528, 18045, 284, 271, 454, 4818, 18045, 284, 271, 454, 5228, 4351, 1104, 2608, 692, 3698, 735, 10031, 14851, 1566, 2525, 272, 912, 453, 16596, 9497, 7723, 5602, 453, 19197, 1566, 2525, 273, 912, 453, 16596, 9497, 17549, 5602, 453, 19197, 1566, 2525, 274, 912, 453, 16596, 9497, 2675, 1170, 528, 5602, 3698, 6149, 10031, 453, 29514, 3593, 18045, 454, 453, 29514, 735, 18045, 454, 14851, 1566, 2525, 272, 912, 453, 16596, 27719, 333, 4910, 738, 2433, 14275, 2433, 347, 4840, 453, 19197, 1566, 2525, 273, 912, 453, 453, 4818, 18045, 23785, 272, 454, 453, 16596, 27719, 333, 4910, 738, 2433, 596, 6336, 2433, 2891, 454, 453, 19197, 1566, 2525, 274, 912, 453, 453, 12528, 18045, 23785, 272, 454, 453, 16596, 27719, 333, 4910, 738, 2433, 596, 3094, 6902, 264, 4840, 3698, 1957, 10031, 453, 29514, 3593, 18045, 454, 453, 29514, 735, 18045, 454, 14851, 1566, 2525, 272, 912, 453, 453, 12528, 18045, 23785, 272, 454, 453, 16596, 27719, 333, 4910, 738, 2433, 596, 3094, 6902, 264, 4840, 453, 19197, 1566, 2525, 273, 912, 453, 16596, 27719, 333, 4910, 738, 2433, 14275, 2433, 347, 4840, 453, 19197, 1566, 2525, 274, 912, 453, 453, 4818, 18045, 23785, 272, 454, 453, 16596, 27719, 333, 4910, 738, 2433, 596, 6336, 2433, 2891, 454, 3698, 1085, 1170, 528, 10031, 453, 29514, 3593, 18045, 454, 453, 29514, 735, 18045, 454, 14851, 1566, 2525, 272, 912, 453, 453, 4818, 18045, 23785, 272, 454, 453, 16596, 27719, 333, 4910, 738, 2433, 596, 6336, 2433, 2891, 454, 453, 19197, 1566, 2525, 273, 912, 453, 453, 12528, 18045, 23785, 272, 454, 453, 16596, 27719, 333, 4910, 738, 2433, 596, 3094, 6902, 264, 4840, 453, 19197, 1566, 2525, 274, 912, 453, 16596, 27719, 333, 4910, 738, 2433, 14275, 2433, 347, 4840, 6112, 6936, 912, 453, 641, 14352, 8681, 842, 263, 272, 267, 274, 4917, 453, 12528, 284, 6358, 2891, 476, 1411, 567, 2433, 19515, 13537, 2891, 20663, 281, 14307, 754, 284, 3269, 994, 13537, 263, 4818, 15405, 14851, 3593, 2525, 257, 7723, 13426, 453, 13537, 263, 7723, 15405, 453, 19197, 3593, 2525, 257, 17549, 13426, 453, 13537, 9638, 1653, 15405, 453, 19197, 3593, 2525, 257, 2675, 1170, 528, 13426, 453, 13537, 263, 2675, 1170, 528, 28829, 28768, 13537, 19629, 333, 7312, 18745, 2433, 15079, 2668, 8971, 263, 12528, 18045, 1070, 754, 6889, 19515, 13537, 19629, 339, 20663, 18745, 2433, 15079, 1422, 333, 14826, 2668, 8971, 263, 4818, 18045, 4917, 14851, 3593, 18045, 2525, 1015, 610, 735, 18045, 2525, 1015, 912, 453, 14851, 3593, 18045, 2525, 1015, 912, 4848, 13537, 2891, 23558, 593, 707, 11802, 32405, 4848, 453, 19874, 454, 453, 28432, 912, 4848, 13537, 2891, 28989, 585, 596, 2530, 32405, 4848, 453, 19874, 19638, 4848, 692, 0, 343, 17342, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 267, 279, 267, 280, 267, 1015, 267, 1556, 2639, 344, 17342, 2639, 992, 25507, 9272, 2891, 11767, 1100, 269, 1993, 9343, 281, 27328, 3712, 25507, 9272, 2891, 11767, 1100, 269, 540, 897, 338, 281, 27328, 1721, 1775, 538, 2039, 263, 271, 267, 992, 2187, 453, 344, 6910, 8443, 7481, 1721, 1775, 538, 2039, 263, 271, 267, 992, 2187, 22610, 795, 538, 2039, 263, 271, 267, 3712, 2187, 453, 453, 344, 5157, 4940, 6572, 27203, 2020, 1721, 1775, 538, 2039, 263, 271, 267, 992, 2187, 22610, 795, 538, 2039, 263, 271, 267, 3712, 2187, 453, 453, 344, 5157, 6012, 329, 24557, 842, 9272, 15405, 2745, 12169, 2020, 343, 17342, 2639, 1721, 1775, 538, 2039, 263, 271, 267, 992, 2187, 453, 343, 6910, 8443, 7481, 1721, 1775, 538, 2039, 263, 271, 267, 992, 2187, 22610, 795, 538, 2039, 263, 271, 267, 3712, 2187, 453, 453, 343, 5157, 4940, 6572, 27203, 994, 1721, 1775, 538, 2039, 263, 271, 267, 992, 2187, 22610, 795, 538, 2039, 263, 271, 267, 3712, 2187, 453, 453, 343, 5157, 6012, 329, 24557, 344, 5157, 6012, 329, 27994, 272, 454, 2745, 3287, 2020, 345, 17342, 2639, 1721, 1775, 538, 2039, 263, 271, 267, 992, 2187, 453, 345, 6910, 8443, 7481, 1721, 1775, 538, 2039, 263, 271, 267, 992, 2187, 22610, 795, 538, 2039, 263, 271, 267, 3712, 2187, 453, 453, 345, 5157, 4940, 6572, 27203, 994, 1721, 1775, 538, 2039, 263, 271, 267, 992, 2567, 4848, 454, 22610, 795, 538, 2039, 263, 271, 267, 3712, 2187, 453, 453, 345, 5157, 6012, 329, 24557, 343, 5157, 6012, 329, 27994, 272, 454, 2745, 18750, 2020, 28768, 320, 284, 272, 454, 321, 284, 272, 454, 322, 284, 272, 28768, 1721, 1775, 538, 2039, 263, 271, 267, 992, 2187, 22610, 795, 538, 2039, 263, 271, 267, 3712, 2187, 453, 14851, 1775, 2525, 329, 912, 4848, 453, 320, 30381, 265, 344, 5157, 6012, 329, 2639, 4848, 453, 321, 284, 321, 20080, 5157, 6012, 329, 2639, 4848, 453, 322, 284, 322, 265, 345, 5157, 6012, 329, 2639, 15235, 454, 2745, 2891, 24001, 1341, 15079, 1341, 15079, 815, 834, 269, 8971, 5416, 14720, 22698, 1070, 320, 17070, 25239, 994, 0, 992, 25507, 9272, 2891, 11767, 519, 9343, 281, 27328, 1721, 1775, 538, 2039, 263, 272, 267, 992, 266, 272, 2187, 14851, 1775, 2525, 272, 912, 453, 22610, 795, 538, 2039, 263, 272, 267, 273, 2187, 4848, 13537, 2891, 265, 5602, 28432, 912, 453, 22610, 795, 538, 2039, 263, 272, 267, 992, 266, 272, 25829, 2187, 4848, 13537, 263, 754, 6889, 19515, 453, 22610, 795, 538, 2039, 263, 272, 267, 328, 2187, 4848, 13537, 2891, 265, 2580, 754, 284, 3269, 994, 453, 22610, 795, 538, 2039, 263, 272, 267, 328, 2187, 4848, 13537, 2891, 265, 2580, 754, 284, 3269, 994, 13537, 3890, 0, 3698, 1292, 10031, 476, 1820, 2891, 1607, 1982, 568, 786, 960, 899, 513, 18185, 5602, 476, 721, 323, 815, 859, 531, 9272, 2891, 8923, 4283, 519, 2179, 538, 20430, 281, 1269, 27363, 476, 538, 337, 815, 721, 323, 2608, 476, 10602, 454, 476, 1820, 2891, 763, 9411, 2179, 538, 20430, 1269, 2580, 639, 323, 2437, 883, 5442, 305, 568, 14307, 514, 337, 2020, 10852, 4590, 0, 3698, 1292, 10031, 476, 1820, 2891, 1607, 1982, 568, 4855, 519, 32671, 2165, 540, 25828, 10022, 5602, 476, 1003, 815, 703, 9272, 2891, 8923, 4283, 519, 2165, 540, 25828, 281, 27363, 476, 1820, 2891, 763, 1871, 693, 2580, 11133, 2437, 6570, 568, 2580, 325, 756, 16325, 11723, 3698, 4017, 16325, 2187, 476, 952, 1003, 27045, 271, 912, 825, 1820, 2891, 18823, 8091, 18452, 5602, 476, 8640, 1003, 2652, 476, 272, 10778, 825, 2132, 476, 272, 454, 476, 8640, 1003, 2652, 476, 273, 10778, 825, 2132, 476, 272, 454, 476, 3116, 10778, 825, 2132, 4017, 263, 1003, 268, 272, 3738, 1341, 4017, 16325, 268, 273, 2020, 10852, 4590, 0, 5814, 2979, 454, 3698, 1292, 10031, 476, 1820, 2891, 1607, 1982, 568, 1031, 547, 4137, 856, 519, 4266, 540, 14914, 5602, 476, 1032, 815, 859, 531, 9272, 2891, 8923, 4283, 606, 1032, 281, 27363, 476, 524, 815, 1032, 12262, 476, 1911, 454, 476, 3134, 716, 284, 630, 279, 1341, 630, 290, 12262, 476, 275, 264, 910, 595, 1341, 16733, 3199, 266, 1724, 264, 12262, 476, 1839, 264, 1341, 476, 1556, 263, 1032, 4939, 476, 866, 4297, 4939, 476, 1789, 454, 476, 1820, 2891, 19368, 540, 3134, 716, 568, 14307, 3134, 716, 2020, 10852, 4590, 0, 3698, 3529, 294, 9512, 263, 2017, 3891, 697, 267, 1293, 267, 5595, 2187, 825, 952, 1293, 2652, 476, 271, 912, 1038, 2132, 1225, 3891, 697, 454, 825, 952, 5595, 2652, 6936, 912, 1038, 2132, 3529, 294, 9512, 263, 273, 265, 2017, 3891, 697, 267, 1293, 910, 476, 272, 267, 8771, 994, 825, 3116, 912, 1038, 2132, 3529, 294, 9512, 263, 2017, 3891, 697, 1341, 476, 272, 267, 1293, 910, 476, 272, 267, 6936, 994, 13872, 13872, 322, 1162, 815, 703, 9272, 31156, 1721, 2013, 538, 2039, 263, 271, 22698, 1162, 2187, 825, 1293, 815, 703, 9272, 15405, 825, 1820, 6025, 872, 294, 9512, 263, 272, 267, 1293, 267, 6936, 4297 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2237, 513, 9226, 1982, 547, 1265, 519, 27353, 540, 513, 1297, 1210, 3252, 1477, 3698, 27353, 16325, 8029, 825, 1249, 815, 476, 272, 1477, 825, 585, 1775, 538, 2039, 263, 272, 267, 1003, 266, 272, 8029, 1038, 1249, 815, 1249, 265, 328, 1477, 825, 2132, 1249, 1477, 15893, 25507, 9272, 2891, 11767, 1022, 1297, 547, 1265, 27353, 281, 834, 17903, 14310, 815, 27353, 28840, 3418, 2745, 2891, 763, 27353, 540, 4939, 323, 815, 4939, 323, 257, 260, 630, 15893, 267, 1267, 4297, 0, 322, 739, 815, 10581, 9272, 2891, 27087, 7640, 539, 281, 834, 4297, 265, 1911, 454, 20135, 318, 23915, 815, 476, 271, 454, 20135, 318, 23915, 6834, 703, 6262, 739, 270, 1839, 994, 322, 739, 815, 1942, 260, 1839, 454, 20135, 318, 23915, 6834, 703, 6262, 739, 270, 1015, 994, 322, 739, 815, 1942, 260, 1015, 454, 20135, 318, 23915, 6834, 703, 6262, 739, 270, 276, 994, 322, 739, 815, 1942, 260, 276, 454, 20135, 318, 23915, 6834, 703, 6262, 739, 270, 272, 994, 322, 739, 815, 1942, 260, 272, 454, 2745, 6025, 4973, 318, 23915, 264, 0, 5814, 1119, 704, 454, 5228, 17511, 1104, 8838, 1308, 454, 3698, 1292, 28442, 281, 1598, 267, 2063, 4067, 281, 1598, 284, 1399, 704, 269, 26855, 2163, 3488, 30670, 2085, 281, 18893, 1308, 27776, 24557, 1399, 704, 20166, 1632, 263, 24222, 335, 668, 696, 8782, 1692, 2025, 616, 596, 3299, 21533, 7272, 668, 696, 18989, 1070, 476, 6101, 281, 321, 944, 25716, 2187, 453, 12163, 453, 306, 599, 28624, 547, 715, 28719, 267, 26840, 958, 609, 513, 4534, 18431, 4067, 563, 453, 2252, 4534, 845, 531, 568, 1031, 269, 519, 28551, 568, 1360, 6101, 454, 453, 12163, 14851, 6101, 912, 453, 453, 332, 20687, 815, 1412, 14187, 4303, 7055, 453, 453, 2056, 815, 1399, 704, 269, 5882, 6600, 262, 346, 4067, 348, 2715, 18431, 4067, 20467, 1411, 723, 2715, 720, 348, 1296, 2025, 3299, 535, 326, 284, 1399, 704, 31815, 832, 14371, 3918, 2894, 267, 12050, 18989, 994, 28432, 912, 453, 453, 332, 20687, 815, 1412, 6343, 338, 909, 562, 580, 8615, 7055, 453, 453, 2056, 815, 1119, 704, 269, 5882, 6600, 257, 346, 4067, 348, 2715, 18431, 4067, 20467, 1411, 723, 2715, 720, 348, 1296, 2025, 2580, 535, 326, 284, 1399, 704, 31815, 832, 15030, 295, 25492, 267, 536, 326, 284, 1399, 704, 31815, 832, 10611, 3633, 994, 453, 15200, 815, 1119, 704, 269, 5882, 3488, 930, 1007, 2934, 3299, 1025, 1074, 18989, 267, 896, 1467, 18989, 2020, 453, 1399, 704, 269, 3663, 334, 9852, 20687, 1341, 10678, 1341, 7132, 2020, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 453, 1399, 704, 269, 14725, 9852, 664, 994, 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 7042, 454, 5035, 623, 4526, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1239, 267, 2985, 15481, 2187, 1038, 1582, 21606, 815, 1239, 476, 1948, 17276, 478, 375, 12255, 29004, 362, 454, 1038, 1582, 269, 2457, 15481, 815, 2985, 15481, 476, 1948, 13127, 491, 499, 421, 350, 369, 27962, 16533, 493, 454, 1038, 1582, 18994, 318, 11034, 815, 8771, 454, 1038, 1582, 18994, 318, 754, 815, 8771, 454, 1038, 1582, 21606, 18045, 815, 7003, 16597, 994, 1038, 1582, 12785, 318, 2457, 815, 476, 271, 476, 1948, 476, 31284, 13601, 421, 350, 369, 454, 1038, 1582, 269, 2181, 2365, 318, 2457, 815, 476, 271, 476, 1948, 476, 31968, 13601, 421, 350, 369, 454, 1038, 1582, 269, 2457, 19571, 815, 1582, 21606, 18045, 1315, 2985, 15481, 476, 1948, 17276, 478, 375, 421, 350, 369, 12255, 454, 1038, 952, 1582, 269, 2457, 19571, 2652, 703, 4311, 269, 2457, 19571, 2187, 2018, 1582, 269, 2457, 19571, 815, 703, 4311, 269, 2457, 19571, 994, 1038, 3116, 912, 2018, 1582, 269, 2457, 19571, 815, 703, 4311, 269, 2457, 19571, 264, 1341, 476, 272, 692, 825, 1219, 2985, 12774, 4311, 267, 2985, 2187, 1038, 8173, 1038, 29635, 492, 371, 9463, 500, 13601, 421, 350, 369, 7511, 12255, 29004, 362, 454, 1038, 2433, 12407, 2985, 281, 476, 28884, 13213, 498, 18713, 508, 12255, 29004, 362, 7511, 421, 350, 369, 419, 510, 479, 454, 1038, 2433, 8873, 281, 13127, 28187, 31563, 421, 350, 369, 419, 510, 479, 420, 370, 483, 13213, 485, 26233, 375, 421, 350, 369, 419, 510, 479, 8147, 13213, 498, 18713, 508, 419, 358, 374, 28578, 23989, 8147, 12571, 355, 10254, 503, 13213, 498, 18713, 508, 13601, 421, 350, 369, 7511, 12255, 29004, 362, 454, 1038, 8173, 1038, 952, 2985, 3436, 1582, 269, 2457, 19571, 912, 2018, 2132, 11713, 1038, 1582, 12785, 318, 2457, 815, 2985, 1341, 476, 272, 454, 1038, 1582, 269, 2181, 2365, 318, 2457, 815, 2985, 910, 476, 272, 454, 1038, 952, 2985, 2652, 476, 272, 912, 2018, 1582, 18994, 318, 11034, 815, 6936, 454, 1038, 8640, 2985, 2652, 1582, 269, 2457, 19571, 912, 2018, 1582, 18994, 318, 754, 815, 6936, 454, 1038, 952, 1582, 18994, 318, 754, 912, 2018, 2132, 1582, 21606, 27007, 2457, 910, 476, 272, 264, 2608, 1582, 269, 2457, 15481, 281, 2639, 1038, 3116, 912, 2018, 2132, 1582, 21606, 27007, 2457, 910, 476, 272, 264, 2608, 1582, 269, 2457, 15481, 281, 2457, 2608, 1582, 269, 2457, 15481, 6540, 692, 0, 5814, 21267, 28272, 607, 12301, 454, 5814, 11885, 607, 5286, 454, 5814, 21795, 607, 19073, 454, 5814, 4351, 454, 5228, 28189, 269, 583, 2812, 1104, 695, 28984, 454, 5228, 28189, 1104, 14449, 267, 5276, 31200, 454, 5228, 28189, 269, 5471, 7879, 1104, 1611, 5334, 32464, 318, 19587, 267, 678, 273, 23962, 692, 327, 17639, 815, 695, 28984, 9638, 323, 18667, 32269, 2891, 327, 17639, 27406, 8442, 2020, 258, 8307, 513, 4183, 630, 20135, 318, 7741, 994, 343, 815, 19073, 6185, 1092, 20988, 22607, 17639, 9131, 20135, 318, 7741, 11172, 2020, 258, 4635, 513, 2603, 540, 2934, 630, 314, 20135, 318, 7741, 267, 8027, 318, 4364, 1014, 318, 720, 267, 2698, 318, 5523, 7741, 267, 2551, 267, 10820, 267, 11667, 18425, 2492, 7481, 258, 1535, 815, 19073, 6185, 1092, 20988, 22607, 17639, 267, 9587, 284, 9131, 327, 17639, 318, 4364, 1014, 318, 720, 3299, 1412, 20135, 318, 7741, 3299, 1412, 28134, 3299, 1412, 5264, 9302, 3299, 1412, 4364, 1014, 18425, 2492, 11172, 2020, 258, 25779, 630, 4364, 1014, 318, 5264, 19056, 994, 344, 815, 19073, 6185, 1092, 20988, 22607, 17639, 9131, 4364, 1014, 318, 5264, 19056, 11172, 2020, 327, 17639, 13448, 17601, 815, 1535, 11468, 268, 736, 2639, 327, 17639, 13448, 15305, 815, 1535, 15631, 736, 281, 6540, 327, 17639, 14729, 17601, 815, 586, 11468, 268, 736, 2639, 327, 17639, 14729, 15305, 815, 586, 15631, 736, 281, 6540, 258, 8073, 606, 3236, 540, 5276, 2203, 454, 15035, 318, 7116, 531, 815, 5276, 31200, 11482, 710, 541, 8802, 1833, 10797, 258, 21541, 543, 3514, 519, 2203, 454, 15035, 318, 7116, 531, 32265, 22607, 17639, 13448, 17601, 267, 8027, 14729, 17601, 2020, 258, 6744, 519, 476, 11236, 454, 327, 17639, 14729, 28177, 815, 5276, 318, 7116, 531, 4877, 9438, 22607, 17639, 13448, 15305, 9239, 2745, 3488, 290, 4141, 13266, 281, 1422, 333, 3299, 5276, 318, 7116, 531, 16691, 1030, 318, 2020, 2745, 2891, 13614, 16302, 5470, 281, 4939, 269, 273, 325, 4840, 8587, 4939, 1611, 5334, 32464, 318, 19587, 22607, 17639, 14729, 15305, 267, 8027, 14729, 28177, 11723, 2745, 3488, 24868, 766, 6060, 281, 4939, 269, 273, 325, 262, 4939, 678, 273, 23962, 22607, 17639, 14729, 15305, 267, 8027, 14729, 28177, 11723, 258, 1948, 18140, 17016, 454, 258, 12301, 31892, 2660, 22607, 17639, 13448, 15305, 267, 8027, 14729, 15305, 267, 476, 2681, 8782, 18872, 5073, 258, 12301, 19502, 22607, 17639, 13448, 15305, 267, 8027, 14729, 28177, 267, 2681, 8782, 19990, 3299, 1899, 12296, 284, 274, 2020, 258, 12301, 269, 868, 6506, 263, 15405, 258, 12301, 269, 12682, 6506, 263, 31156, 258, 12301, 20481, 3890, 0, 5228, 10070, 1104, 632, 4302, 692, 3698, 536, 12028, 14116, 1429, 267, 3355, 11966, 267, 568, 318, 2998, 531, 2187, 476, 20313, 815, 632, 4302, 4590, 476, 10272, 815, 1305, 4590, 476, 20313, 6910, 9230, 30976, 11966, 267, 1496, 28413, 476, 10272, 14491, 263, 30976, 11966, 994, 476, 1247, 263, 28255, 2187, 825, 6843, 267, 2619, 815, 20313, 4877, 963, 1111, 4590, 825, 952, 568, 318, 2998, 531, 27316, 2187, 8587, 2132, 6843, 267, 2619, 454, 825, 6843, 318, 539, 2471, 815, 3113, 19559, 1712, 2639, 825, 585, 6316, 9078, 8475, 267, 3077, 17045, 538, 6843, 318, 539, 2471, 29096, 10031, 8587, 952, 3077, 17045, 711, 538, 10272, 912, 1038, 10272, 14491, 6025, 13759, 17045, 994, 1038, 20313, 6910, 9230, 339, 13759, 17045, 267, 2619, 1341, 1496, 8354, 9078, 8475, 28413, 476, 2132, 7183, 454, 0, 16766, 288, 284, 14277, 288, 2006, 14824, 305, 1690, 14824, 288, 628, 541, 9366, 14824, 305, 1276, 328, 31116, 16766, 289, 284, 14277, 288, 2006, 14824, 21946, 18223, 14824, 3849, 640, 320, 14824, 288, 344, 2313, 14824, 288, 628, 541, 9366, 31116, 16766, 290, 284, 14277, 305, 1690, 14824, 305, 1276, 328, 14824, 309, 539, 656, 14824, 288, 628, 541, 9366, 257, 6540, 6352, 320, 284, 6352, 14116, 4981, 288, 994, 6352, 321, 284, 6352, 14116, 4981, 289, 2020, 2745, 2891, 8266, 540, 1053, 945, 2901, 1404, 25319, 610, 3983, 332, 842, 542, 855, 711, 1312, 15419, 14310, 290, 8042, 17342, 30092, 4148, 698, 284, 271, 3248, 1721, 1775, 538, 2039, 12759, 320, 2187, 476, 585, 795, 538, 2039, 12759, 321, 2187, 825, 952, 14116, 4981, 288, 5157, 316, 2525, 16766, 289, 14728, 316, 2187, 8587, 9206, 284, 272, 3248, 476, 952, 630, 4148, 698, 2525, 271, 2187, 825, 1267, 290, 8042, 6910, 14116, 4981, 288, 5157, 7481, 476, 9206, 284, 271, 282, 7531, 1721, 1775, 538, 2039, 12759, 321, 2187, 476, 585, 795, 538, 2039, 12759, 320, 17107, 825, 952, 14116, 4981, 289, 5157, 316, 2525, 16766, 288, 14728, 316, 2187, 8587, 9206, 284, 272, 3248, 476, 952, 630, 4148, 698, 2525, 271, 2187, 825, 1267, 290, 8042, 6910, 14116, 4981, 289, 5157, 8079, 3248, 476, 9206, 284, 271, 16963, 2745, 31114, 290, 8042, 264, 0, 1598, 284, 6358, 2891, 11767, 519, 5569, 281, 5602, 11357, 284, 6358, 2891, 11767, 519, 1016, 5569, 281, 5602, 329, 284, 271, 7531, 1721, 1775, 538, 2039, 12759, 19304, 15892, 825, 952, 19304, 5157, 316, 2525, 11357, 14728, 316, 2187, 1038, 795, 284, 329, 266, 272, 454, 1038, 952, 795, 2525, 6352, 4433, 889, 2187, 16875, 4994, 284, 328, 24179, 6352, 4433, 889, 9984, 272, 994, 16875, 2736, 3248, 825, 3116, 912, 1038, 795, 284, 271, 454, 2745, 263, 8161, 264, 0, 5814, 21795, 607, 19073, 454, 5814, 11885, 607, 5286, 692, 3698, 840, 15263, 5334, 574, 921, 6025, 20995, 27133, 267, 10505, 318, 4900, 16229, 2187, 825, 5727, 7093, 15263, 519, 1239, 585, 16861, 2203, 2679, 780, 825, 901, 5932, 513, 2866, 1305, 1141, 1142, 4737, 568, 513, 942, 3126, 540, 513, 454, 825, 1808, 12550, 11296, 13525, 585, 513, 1808, 2197, 269, 634, 2387, 311, 319, 3349, 454, 825, 2882, 519, 942, 3126, 689, 476, 3192, 273, 547, 476, 1220, 277, 267, 543, 519, 1412, 312, 262, 3349, 2882, 454, 825, 519, 942, 3126, 2418, 585, 476, 1220, 278, 269, 31932, 2418, 616, 27573, 607, 10878, 28213, 780, 825, 2473, 543, 962, 1152, 1331, 9343, 585, 799, 649, 991, 547, 1118, 22347, 3827, 585, 519, 454, 825, 6735, 269, 8892, 23200, 786, 1331, 811, 9343, 547, 946, 607, 454, 825, 2934, 780, 825, 16849, 912, 11434, 2473, 630, 335, 323, 6185, 1092, 20988, 2567, 2934, 585, 12605, 454, 11434, 962, 630, 335, 323, 2529, 7685, 2567, 9072, 585, 12605, 454, 825, 29185, 825, 1948, 8564, 9343, 585, 12605, 1152, 454, 825, 2473, 815, 2866, 27133, 7456, 665, 314, 11357, 2466, 318, 4900, 16229, 6540, 825, 1948, 8564, 543, 556, 4067, 9587, 454, 825, 2473, 815, 2473, 269, 559, 665, 18020, 32473, 274, 2639, 825, 2473, 815, 2473, 269, 1066, 877, 10857, 10033, 1535, 281, 703, 3287, 21858, 3488, 1412, 25011, 271, 25818, 7852, 284, 272, 2020, 825, 1948, 590, 5902, 12605, 543, 3077, 454, 825, 962, 815, 2473, 269, 559, 665, 18020, 910, 272, 316, 476, 1948, 476, 1220, 278, 454, 825, 2473, 815, 2473, 269, 559, 665, 18020, 32473, 272, 316, 476, 1948, 476, 3192, 273, 281, 1220, 277, 692, 825, 2132, 2473, 267, 962, 692, 3698, 840, 15263, 318, 1721, 24449, 714, 6025, 20995, 27133, 267, 10505, 318, 4900, 16229, 2187, 825, 5727, 7093, 15263, 519, 1239, 585, 14839, 780, 825, 8564, 338, 9343, 585, 12605, 543, 556, 12849, 9587, 563, 825, 29185 ]

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

[ 7116, 346, 275, 301, 266, 272, 6525, 269, 3973, 3230, 344, 14352, 337, 333, 315, 10975, 272, 8358, 273, 2330, 543, 2655, 23082, 883, 30967, 272, 14638, 3947, 3230, 333, 343, 317, 273, 24179, 333, 268, 272, 7565, 337, 333, 315, 10975, 272, 8203, 273, 284, 272, 315, 574, 18680, 1535, 317, 273, 284, 337, 317, 273, 333, 317, 273, 24179, 337, 317, 273, 315, 5404, 273, 337, 264, 333, 315, 5404, 273, 337, 266, 272, 269, 2330, 2913, 3230, 343, 284, 337, 333, 8584, 2330, 865, 3230, 333, 7807, 2765, 21151, 317, 273, 315, 10975, 273, 337, 268, 272, 2410, 273, 571, 8573, 317, 273, 315, 10975, 273, 337, 18098, 2765, 272, 346, 275, 337, 317, 273, 4153, 3847, 263, 273, 571, 266, 337, 317, 273, 315, 5404, 273, 337, 10954, 2765, 346, 337, 317, 273, 16868, 315, 10975, 275, 20972, 273, 320, 8573, 315, 10975, 273, 4153, 2431, 14638, 799, 6971, 547, 3230, 273, 3867, 330, 266, 274, 13157, 332, 266, 273, 337, 10954, 2765, 346, 337, 16868, 315, 10975, 275, 14587, 332, 2330, 2094, 3230, 337, 333, 315, 10975, 272, 284, 273, 344, 2330, 543, 3230, 344, 284, 273, 317, 330, 29634, 30860, 602, 713, 19862, 568, 3833, 2147, 547, 707, 5973, 1890, 3948, 269, 634, 8545, 568, 6508, 689, 519, 1062, 3230, 338, 343, 284, 1399, 284, 275, 317, 330, 268, 272, 2330, 543, 3230, 343, 20742, 284, 273, 3867, 330, 266, 272, 6525, 267, 799, 538, 2490, 568, 6697, 547, 6061, 3230, 560, 284, 322, 263, 275, 317, 330, 268, 272, 14638, 543, 3230, 338, 266, 339, 284, 322, 24206, 273, 3867, 330, 266, 272, 6525, 269, 769, 519, 19862, 1657, 267, 649, 616, 3168, 585, 9981, 3230, 338, 25722, 2330, 971, 602, 3230, 560, 284, 337, 16868, 315, 10975, 275, 14638, 543, 3230, 338, 266, 339, 284, 273, 317, 298, 268, 273, 337, 29634, 1892, 1684, 596, 1611, 1269, 312, 284, 273, 344, 259, 286, 8734, 476, 2641, 267, 476, 1708, 271, 693, 476, 1240, 281, 1321, 454, 1892, 3143, 269, 1269, 275, 3799, 268, 272, 264, 344, 317, 273, 284, 275, 263, 275, 301, 266, 272, 268, 272, 264, 344, 317, 273, 284, 301, 263, 275, 344, 8203, 273, 10608, 8734, 476, 2641, 267, 476, 1708, 271, 693, 476, 736, 281, 1839, 692, 1607, 568, 1175, 513, 20726, 267, 799, 949, 581, 3730, 267, 711, 513, 2407, 2626, 780, 2330, 263, 273, 317, 330, 268, 272, 7565, 273, 317, 330, 266, 272, 6661, 263, 273, 317, 330, 14870, 7565, 273, 317, 330, 21147, 264, 339, 9681, 5804, 713, 649, 1294, 602, 3230, 343, 2330, 1058, 581, 9642, 269, 1656, 2653, 547, 6961, 602, 519, 30967, 273, 317, 330, 14870, 267, 273, 317, 330, 21147, 6661, 272, 2330, 1306, 519, 3230, 273, 317, 330, 21147, 3436, 476, 273, 317, 330, 268, 272, 2330, 543, 3230, 273, 317, 330, 21147, 3436, 476, 273, 317, 330, 266, 272, 2330, 585, 519, 3230, 343, 285, 272, 2330, 1287, 30967, 273, 317, 330, 21147, 267, 273, 317, 330, 268, 272, 6661, 320, 3436, 476, 272, 2330, 543, 30967, 273, 317, 330, 21147, 267, 273, 317, 330, 266, 272, 6661, 321, 3436, 476, 272, 2330, 543, 30967, 320, 14720, 6661, 272, 2330, 543, 3230, 629, 284, 273, 317, 330, 21147, 29634, 4131, 8263, 602, 30967, 273, 317, 330, 268, 272, 267, 273, 317, 330, 14870, 6661, 322, 2330, 543, 30967, 273, 317, 330, 266, 272, 267, 273, 317, 330, 14870, 6661, 323, 2330, 1287, 15069, 30967, 320, 22698, 6661, 272, 18079, 30967, 320, 28504, 6661, 272, 18079, 30967, 321, 22698, 6661, 272, 18079, 30967, 321, 28504, 6661, 272, 18079, 30967, 323, 22698, 6661, 272, 2330, 543, 3230, 7251, 284, 273, 317, 330, 14870, 21974, 1656, 3230, 320, 14720, 22698, 28504, 2330, 616, 9642, 269, 3230, 659, 1923, 476, 273, 317, 330, 268, 272, 2330, 3230, 321, 323, 1923, 476, 273, 317, 330, 266, 272, 2330, 3230, 629, 266, 7251, 284, 273, 3867, 330, 266, 272, 6525, 3230, 629, 2275, 323, 284, 273, 343, 9681, 5804, 713, 621, 4667, 602, 972, 1058, 581, 930, 3070, 267, 855, 4440, 585, 519, 3230, 330, 2330, 268, 338, 585, 799, 519, 3230, 273, 317, 330, 268, 272, 2330, 543, 3230, 273, 317, 330, 266, 272, 2330, 814, 2614, 16975, 269, 769, 713, 9165, 621, 568, 849, 4277, 547, 2015, 519, 10854, 781, 11532, 692, 1892, 8799, 20726, 2807, 855, 568, 1250, 2626, 849, 4502, 540, 1373, 1572, 513, 20726, 7790, 594, 993, 513, 3983, 19444, 693, 1297, 3069, 267, 855, 594, 723, 2944, 519, 1655, 540, 1018, 594, 666, 2807, 8734, 476, 2641, 267, 476, 1708, 271, 693, 476, 1556, 281, 7871, 454, 1892, 4208, 713, 568, 3020, 286, 18159, 273, 317, 330, 14870, 267, 273, 317, 330, 21147, 6661, 272, 259, 286, 1022, 20726, 286, 8734, 476, 2641, 267, 476, 1708, 271, 693, 476, 1626, 281, 1015, 454, 1892, 27539, 1269, 273, 317, 330, 14870, 284, 12320, 259, 543, 1269, 273, 317, 330, 21147, 284, 583, 259, 1287, 1269, 273, 3867, 330, 266, 272, 13157, 340, 17635, 266, 339, 7751, 607, 519, 1269, 343, 259, 568, 9642, 1287, 1269, 340, 8961, 1269, 341, 259, 543, 1269, 339, 259, 616, 9642, 269, 1924, 519, 1269, 340, 259, 1058, 581, 1269, 272, 10608, 8734, 476, 2641, 267, 476, 1708, 271, 693, 476, 1626, 281, 1691, 454, 1892, 2311, 1899, 476, 278, 267, 12582, 1405, 834, 663, 257, 581, 834, 528, 22172, 8734, 476, 2641, 267, 476, 1708, 271, 693, 476, 1704, 281, 3607, 454, 1892, 7711, 306, 1051, 516, 20994, 519, 2626, 568, 1279, 267, 1577, 803, 1265, 513, 942, 547, 1174, 519, 3877, 269, 8734, 476, 2641, 267, 476, 1708, 271, 693, 476, 1704, 281, 3393, 692, 2690, 3230, 330, 315, 613, 476, 272, 2330, 543, 3230, 271, 267, 15475, 2330, 263, 273, 3867, 273, 330, 18511, 343, 317, 273, 264, 1923, 630, 273, 3867, 273, 330, 18511, 272, 14638, 1721, 930, 3230, 343, 285, 272, 18079, 543, 8754, 602, 3230, 273, 3867, 273, 330, 18511, 343, 317, 273, 2330, 568, 7768, 1152, 540, 519, 6305, 2188, 540, 3230, 273, 3867, 273, 330, 18511, 272, 2330, 855, 19330, 835, 610, 811, 540, 873, 630, 528, 5310, 3568, 782, 540, 519, 3982, 2188, 855, 609, 835, 610, 811, 540, 873, 547, 513, 14758, 1379, 6393, 13295, 1577, 2330, 273, 3867, 273, 330, 18511, 272, 14352, 273, 317, 330, 268, 272, 7565, 273, 317, 330, 266, 272, 6661, 335, 336, 337, 24206, 588, 340, 2330, 663, 15475, 267, 585, 930, 3230, 343, 285, 272, 18079, 602, 2330, 273, 3867, 273, 330, 18511, 343, 317, 273, 284, 335, 336, 24206, 588, 340, 2330, 663, 8754, 17337, 3230, 273, 3867, 273, 330, 18511, 272, 29634, 10190, 2094, 585, 3230, 343, 315, 613, 272, 18079, 2330, 273, 3867, 273, 330, 18511, 343, 317, 273, 14352, 273, 317, 330, 14870, 7565, 273, 317, 330, 21147, 14638, 663, 8754, 519, 2040, 2330, 263, 273, 317, 330, 14870, 11924, 263, 273, 317, 330, 21147, 6661, 273, 3867, 330, 266, 272, 6525, 6533, 2330, 335, 336, 337, 266, 560, 340, 284, 335, 336, 266, 560, 340, 284, 273, 3867, 330, 266, 272, 6525, 6518, 568, 7543, 780, 17798, 621, 568, 2312, 602, 9427, 835, 610, 811, 6305, 2188, 689, 2901, 3230, 273, 317, 330, 268, 272, 2330, 610, 3230, 273, 317, 330, 266, 272, 18079, 1247, 6028, 519, 824, 1039, 754, 16856, 267, 1590, 1118, 741, 2040, 1447, 982, 3230, 273, 3867, 330, 266, 272, 6525, 269, 12846, 1447, 666, 741, 2040, 581, 3230, 273, 3867, 330, 266, 272, 6525, 952, 835, 610, 811, 6305, 2188, 616, 6569, 689, 1312, 3230, 273, 317, 330, 268, 272, 2330, 543, 3230, 273, 317, 330, 266, 272, 29634, 763, 6967, 7872, 568, 602, 9427, 835, 610, 811, 6305, 2188, 689, 1312, 3230, 273, 317, 330, 268, 272, 2330, 543, 3230, 273, 317, 330, 266, 272, 2330, 543, 556, 268, 1551, 4474, 519, 6967, 6305, 2188, 267, 1522, 6556, 513, 2040, 3230, 284, 273, 3867, 330, 266, 272, 6525, 780, 292, 3052, 269, 585, 3230, 330, 284, 277, 18079, 30967, 273, 317, 330, 268, 272, 7565, 273, 317, 330, 266, 272, 6661, 8287, 24206, 4792, 284, 274, 317, 273, 24206, 278, 24206, 276, 24206, 1724, 18079, 543, 2330, 274, 317, 273, 24206, 278, 266, 276, 24206, 1724, 284, 273, 3867, 330, 266, 272, 13157, 273, 317, 278, 2330, 7230, 8221, 835, 3230, 274, 2330, 268, 26476, 543, 556, 268, 1551, 4474, 519, 2185, 6967, 3982, 6305, 2188, 538, 519, 5722, 2009, 2081, 649, 1205, 2330, 274, 24206, 278, 266, 276, 24206, 1724, 284, 10436, 2330, 2330, 274, 24206, 276, 266, 278, 24206, 1724, 284, 11793, 2330, 2330, 274, 24206, 1724, 266, 276, 24206, 1724, 284, 10619, 2330, 2330, 274, 266, 278, 24206, 276, 24206, 1724, 284, 3393, 279, 2330, 2330, 276, 266, 274, 24206, 278, 24206, 1724, 284, 30116, 2330, 2330, 278, 266, 274, 24206, 276, 24206, 1724, 284, 1708, 2330, 2330, 1724, 266, 274, 24206, 276, 24206, 278, 284, 14093, 2330, 8253, 26312, 1934, 568, 602, 782, 18304, 616, 9642, 23385, 540, 3230, 273, 317, 272, 29634, 2690, 3230, 330, 284, 1015, 18079, 9427, 835, 540, 519, 3230, 276, 2330, 268, 2399, 832, 689, 3230, 273, 3867, 273, 330, 18511, 272, 284, 9083, 274, 24206, 9083, 276, 284, 274, 24206, 1556, 24206, 4029, 24206, 276, 317, 273, 24206, 6078, 18079, 594, 1265, 519, 19939, 2009, 18304, 540, 1079, 1039, 1742, 5627, 519, 6967, 2947, 3982, 22136, 616, 782, 9642, 23385, 540, 3230, 273, 317, 273, 29634, 2252, 621, 1223, 581, 3254, 267, 1287, 267, 602, 782, 971, 18304, 12270, 3230, 273, 3867, 273, 330, 18511, 272, 2330, 616, 9642, 23385, 540, 930, 1379, 540, 3230, 273, 18079, 543, 8754, 711, 3160, 547, 3230, 273, 3867, 330, 266, 272, 6525, 267, 621, 1131, 1246, 602, 267, 585, 3230, 330, 315, 613, 272, 2330, 543, 3230, 343, 285, 272, 18079, 3230, 273, 3867, 273, 330, 18511, 343, 317, 273, 2330, 1281, 711, 7941, 3230, 273, 3867, 273, 330, 18511, 272, 29634, 1607, 540, 1576, 568, 711, 513, 2407, 2626, 267, 855, 621, 23933, 856, 513, 2009, 1935, 780, 1892, 594, 1810, 1405, 3494, 707, 2626, 568, 2953, 269, 1269, 273, 3867, 273, 330, 18511, 343, 317, 273, 284, 335, 336, 24206, 588, 340, 259, 568, 711, 519, 1152, 7872, 269, 621, 1223, 581, 1269, 273, 3867, 273, 330, 18511, 343, 317, 273, 284, 1186, 24206, 8913, 259, 610, 1269, 335, 560, 24206, 579, 259, 610, 1022, 824, 10659, 269, 8734, 476, 736, 267, 476, 1708, 271, 693, 476, 866, 281, 2537, 454, 1892, 7711, 290, 12171, 14371, 269, 734, 296, 3858, 267, 972, 616, 1082, 7399, 269, 594, 729, 1152, 15194, 856, 513, 1906, 540, 873, 547, 1376, 609, 267, 12077, 2665, 1141, 519, 6305, 2188, 2611, 24240, 538, 835, 540, 519, 1039, 1742, 855, 519, 824, 1039, 754, 19330, 835, 610, 811, 540, 519, 6305, 2188, 1336, 538, 1269, 273, 3867, 273, 330, 18511, 272, 10608, 594, 979, 593, 547, 1118, 930, 7422, 827, 519, 6967, 7399, 269, 8734, 476, 2641, 267, 476, 1708, 271, 693, 476, 271, 281, 5881, 454, 1892, 7711, 10955, 1189, 303, 528, 3250, 320, 594, 1589, 602, 972, 616, 1869, 811, 7399, 982, 1018, 596, 723, 2808, 269, 1280, 1383, 267, 596, 1223, 4894, 930, 2188, 689, 1269, 273, 317, 330, 268, 272, 259, 543, 9062, 930, 540, 1346, 5196, 1269, 273, 317, 330, 266, 272, 10608, 8734, 476, 2641, 267, 476, 1708, 271, 693, 476, 274, 281, 7367, 454, 1892, 7711, 24171, 289, 20621, 646, 814, 2907, 5018, 621, 32465, 8734, 476, 2641, 267, 476, 1708, 271, 693, 476, 275, 281, 2190, 454, 1892, 594, 6836, 547, 2015, 602, 269, 1280, 1269, 330, 284, 277, 259, 594, 6569, 513, 1269, 274, 27572, 26476, 689, 1269, 273, 317, 330, 268, 272, 8961, 543, 1287, 538, 519, 8772, 32089, 6569, 1269, 278, 259, 689, 1269, 273, 317, 330, 268, 272, 259, 543, 16611, 621, 5196, 1269, 273, 317, 330, 266, 272, 8961, 543, 538, 519, 15795, 32089, 6569, 1269, 274, 259, 689, 1269, 273, 317, 330, 268, 272, 259, 543, 16611, 621, 5196, 1269, 273, 317, 330, 266, 272, 10608, 2107, 568, 602, 711, 1018, 596, 5921, 286, 8734, 476, 2641, 267, 476, 1708, 271, 693, 476, 275, 281, 1839, 692, 2252, 596, 9364, 2648, 547, 267, 596, 949, 1491, 621, 607, 513, 6085, 269, 594, 993, 1175, 8380, 909 ]

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

[ 5351, 540, 513, 1297, 540, 20522, 1072, 5829, 4255, 269, 1703, 616, 1082, 2241, 3562, 28273, 543, 782, 5991, 1823, 4485, 540, 8236, 5351, 689, 4745, 15319, 1145, 563, 28319, 559, 779, 804, 1177, 814, 9863, 547, 581, 3811, 538, 519, 16185, 540, 1560, 4745, 31199, 269, 4634, 865, 267, 621, 568, 513, 1434, 2856, 547, 2638, 609, 513, 2564, 3318, 6619, 540, 3843, 713, 1935, 269, 1703, 616, 1896, 1004, 945, 2220, 792, 676, 922, 4398, 267, 543, 922, 4390, 547, 2126, 11213, 10549, 267, 10451, 10688, 4443, 563, 10908, 1075, 657, 8533, 814, 1044, 3927, 9916, 267, 543, 568, 9833, 547, 581, 606, 1360, 3532, 1505, 540, 1574, 532, 12263, 9636, 269, 1717, 267, 538, 930, 3871, 267, 2427, 2164, 798, 2049, 563, 26452, 5686, 540, 12263, 991, 3875, 2553, 540, 4058, 540, 6722, 657, 8533, 269, 3194, 723, 7152, 602, 713, 1587, 666, 581, 3608, 563, 4913, 267, 621, 568, 9244, 6700, 547, 3355, 2638, 609, 609, 707, 4387, 1175, 1354, 3843, 856, 713, 14984, 1587, 563, 295, 273, 334, 16185, 568, 606, 3606, 1134, 8153, 10826, 585, 4745, 1928, 563, 2005, 568, 849, 4857, 607, 1216, 7098, 984, 923, 607, 621, 3340, 3257, 3982, 12204, 540, 7098, 984, 923, 23736, 538, 513, 7535, 563, 297, 2002, 31199, 568, 6157, 711, 3232, 1272, 17116, 267, 855, 621, 666, 9090, 2014, 513, 1390, 4308, 540, 7092, 543, 11605, 267, 2870, 621, 1851, 513, 2582, 540, 519, 1034, 27676, 3871, 2479, 11402, 676, 5256, 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 ]

[ 12467, 263, 12467, 329, 512, 795, 512, 795, 454, 329, 512, 454, 344, 512, 554, 552, 546, 552, 554, 552, 546, 454, 295, 795, 552, 454, 324, 512, 552, 1696, 454, 324, 454, 339, 512, 512, 512, 454, 324, 454, 6440, 5788, 454, 383, 371, 21680, 454, 383, 371, 6440, 21680, 6440, 454, 284, 21591, 23751, 331, 561, 454, 263, 274, 269, 273, 994, 4467, 14658, 18440, 3815, 454, 14294, 1023, 543, 7010, 318, 8245, 517, 454, 295, 599, 7219, 1299, 31550, 11709, 966, 8696, 454, 274, 454, 293, 537, 8175, 11724, 725, 540, 6178, 1023, 1299, 700, 2316, 7010, 22263, 11724, 725, 540, 6178, 1023, 1299, 700, 2316, 7010, 454, 6224, 22790, 454, 274, 269, 22039, 3210, 912, 263, 3738, 630, 12467, 329, 454, 295, 795, 554, 552, 546, 454, 564, 454, 324, 512, 512, 454, 6440, 454, 383, 371, 454, 383, 371, 6440, 454, 23751, 331, 454, 263, 274, 269, 274, 994, 266, 21069, 1106, 1950, 1297, 524, 815, 513, 1341, 795, 321, 912, 1173, 346, 7684, 795, 524, 454, 322, 524, 552, 815, 1141, 454, 263, 12467, 273, 476, 273, 476, 272, 454, 663, 2415, 346, 7684, 16009, 454, 321, 454, 320, 454, 322, 513, 536, 524, 454, 383, 371, 454, 284, 1341, 21591, 266, 21069, 1106, 585, 670, 630, 16660, 2187, 1173, 346, 630, 3738, 8679, 263, 3738, 630, 12467, 329, 670, 795, 454, 295, 795, 670, 795, 552, 454, 324, 454, 324, 552, 21591, 3602, 2715, 7684, 630, 3738, 13804, 3363, 3210, 543, 2415, 630, 3738, 18001, 1365, 333, 572, 670, 795, 670, 795, 552, 552, 815, 21591, 263, 3738, 630, 12467, 263, 3738, 2715, 7684, 630, 3738, 2415, 795, 512, 670, 795, 454, 344, 512, 670, 795, 552, 454, 324, 552, 454, 324, 454, 32504, 23751, 7078, 476, 274, 269, 272, 25846, 18065, 281, 22039, 3210, 454, 763, 20949, 3210, 540, 519, 1062, 11341, 547, 519, 3403, 6453, 547, 519, 6453, 454, 659, 1484, 519, 19218, 538, 8431, 269, 476, 274, 269, 273, 8431, 269, 476, 274, 269, 273, 568, 6508, 538, 7151, 476, 272, 269, 2641, 607, 454, 13045, 272, 454, 263, 3738, 630, 12467, 339, 25846, 454, 327, 512, 552, 579, 512, 454, 13612, 454, 383, 371, 454, 23751, 8340, 606, 4082, 585, 519, 4908, 3210, 267, 543, 454, 7120, 519, 9588, 543, 5123, 3210, 563, 14294, 1023, 543, 7010, 318, 8245, 517, 454, 295, 599, 7219, 1299, 31550, 11709, 966, 8696, 454, 275, 454, 293, 537, 8175, 11724, 725, 540, 6178, 1023, 1299, 700, 2316, 7010, 22263, 11724, 725, 540, 6178, 1023, 1299, 700, 2316, 7010, 454, 6224, 22790, 454, 283, 2999, 22069, 269, 285, 3752, 269, 11417, 8201, 476, 274, 269, 273, 630, 335, 269, 476, 3192, 264, 7612, 476, 274, 269, 273, 630, 335, 269, 476, 3192, 994, 13612, 5547, 585, 7151, 476, 274, 269, 272, 563, 263, 3738, 630, 3738, 512, 512, 552, 454, 564, 454, 339, 454, 323, 552, 579, 552, 454, 13612, 454, 329, 670, 454, 329, 454, 13612, 454, 383, 371, 454, 6440, 454, 6440, 21680, 454, 383, 371, 454, 331, 454, 23751, 272, 454, 339, 454, 339, 552, 454, 323, 552, 454, 13612, 454, 13612, 454, 329, 454, 331, 454, 6440, 454, 2008, 563, 347, 692, 315, 454, 2008, 266, 21680, 454, 23751, 271, 454, 272, 454, 272, 454, 272, 454, 271, 454, 272, 476, 272, 454, 272, 454, 329, 454, 13612, 454, 324, 454, 13612, 454, 329, 454, 13612, 454, 324, 512, 454, 324, 454, 6440, 454, 347, 11406, 383, 371, 30492, 2008, 315, 4586, 383, 371, 454, 23751, 347, 11406, 32504, 2008, 315, 4586, 263, 3738, 476, 272, 476, 271, 454, 272, 454, 272, 476, 272, 454, 383, 371, 454, 2008, 563, 347, 692, 315, 454, 2008, 32504, 383, 371, 454, 23751, 13612, 454, 329, 454, 13612, 454, 324, 454, 13612, 454, 329, 454, 13612, 454, 272, 454, 272, 454, 32504, 23751, 324, 454, 293, 15968, 3210, 912, 300, 1725, 3363, 3210, 912, 263, 12467, 273, 454, 273, 454, 272, 454, 272, 454, 2008, 563, 347, 692, 315, 454, 2008, 32504, 23751, 13612, 454, 13612, 454, 329, 670, 454, 324, 454, 324, 454, 4942, 848, 3210, 912, 263, 3738, 2715, 7684, 630, 3738, 25846, 795, 670, 552, 552, 818, 551, 534, 2415, 21680, 21591, 8993, 269, 476, 274, 269, 277, 630, 320, 264, 543, 630, 321, 264, 8431, 269, 476, 274, 269, 277, 630, 320, 264, 543, 630, 321, 994, 14294, 1023, 543, 7010, 318, 8245, 517, 454, 295, 599, 7219, 1299, 31550, 11709, 966, 8696, 454, 276, 454, 273, 454, 339, 454, 275, 454, 339, 454, 273, 454, 339, 454, 383, 371, 454, 275, 454, 339, 454, 383, 371, 454, 324, 454, 263, 3738, 2715, 7684, 2415, 670, 14247, 454, 324, 454, 263, 3738, 670, 14247, 454, 293, 537, 8175, 11724, 725, 540, 6178, 1023, 1299, 700, 2316, 7010, 22263, 11724, 725, 540, 6178, 1023, 1299, 700, 2316, 7010, 454, 6224, 22790, 454, 8201, 476, 274, 269, 274, 630, 335, 269, 476, 2735, 264, 7612, 476, 274, 269, 274, 630, 335, 269, 476, 2735, 994, 293, 15968, 3210, 540, 519, 25846, 5547, 538, 8431, 269, 476, 274, 269, 273, 269, 630, 320, 264, 13804, 3363, 3210, 563, 6357, 264, 18001, 3210, 563, 266, 661, 3394, 7407, 543, 14802, 10818, 540, 700, 2316, 1062, 454, 314, 288, 316, 23120, 6066, 2013, 912, 272, 269, 661, 3394, 10517, 19948, 281, 8431, 269, 476, 274, 269, 275, 630, 320, 264, 8431, 269, 476, 274, 269, 275, 630, 320, 264, 630, 3738, 2715, 7684, 630, 3738, 512, 512, 670, 3331, 361, 341, 642, 21591, 14294, 1023, 543, 7010, 318, 8245, 517, 454, 295, 599, 7219, 1299, 31550, 11709, 966, 8696, 454, 277, 454, 293, 537, 8175, 11724, 725, 540, 6178, 1023, 1299, 700, 2316, 7010, 22263, 11724, 725, 540, 6178, 1023, 1299, 700, 2316, 7010, 454, 6224, 22790, 454, 8201, 476, 274, 269, 275, 630, 335, 269, 476, 2735, 994, 26877, 755, 1674, 540, 519, 14802, 10818, 3959, 540, 5276, 1949, 269, 634, 2962, 540, 454, 1492, 1062, 593, 606, 14802, 10818, 3403, 568, 8691, 676, 519, 7222, 454, 324, 3394, 7407, 269, 630, 320, 264, 4937, 14802, 10818, 1341, 263, 339, 264, 610, 1341, 314, 333, 316, 543, 14802, 7407, 3331, 361, 563, 6357, 264, 13216, 18980, 18042, 14802, 10818, 552, 454, 27826, 454, 663, 14802, 7407, 670, 263, 16660, 1916, 6262, 264, 13216, 18980, 18042, 14802, 10818, 552, 454, 329, 4002, 454, 663, 14802, 7407, 670, 16216, 454, 329, 302, 454, 1916, 263, 3738, 1496, 9948, 562, 3331, 361, 341, 454, 295, 454, 263, 3738, 512, 642, 454, 263, 3738, 1496, 9948, 562, 642, 454, 263, 3738, 512, 3331, 361, 341, 630, 12467, 329, 512, 454, 295, 795, 552, 454, 324, 454, 324, 454, 295, 454, 329, 512, 454, 324, 454, 324, 454, 295, 454, 329, 562, 454, 324, 454, 302, 630, 12467, 329, 795, 562, 454, 295, 552, 552, 454, 302, 744, 454, 292, 3394, 10818, 281, 630, 12467, 329, 512, 454, 339, 552, 454, 324, 454, 341, 21591, 292, 3394, 7407, 281, 630, 3738, 670, 795, 3331, 361, 552, 21591, 273, 269, 1403, 552, 454, 330, 454, 529, 606, 14802, 19066, 540, 513, 5119, 589, 609, 14802, 7407, 3331, 361, 454, 330, 454, 267, 1287, 454, 330, 737, 737, 454, 383, 361, 815, 32363, 552, 454, 6635, 4226, 9009, 3403, 815, 22051, 2706, 21752, 540, 14802, 325, 17313, 454, 3519, 23728, 5106, 1230, 23728, 5106, 2485, 361, 2485, 361, 18527, 18527, 454, 2750, 269, 18452, 912, 263, 12467, 382, 363, 454, 23751, 23751, 300, 454, 330, 454, 339, 795, 454, 330, 454, 330, 454, 324, 513, 512, 1535, 454, 272, 454, 324, 454, 20479, 912, 263, 3738, 630, 12467, 382, 363, 454, 23751, 23751, 300, 454, 330, 454, 339, 795, 454, 330, 454, 330, 454, 324, 795, 670, 513, 512, 586, 454, 272, 454, 324, 454, 324, 454, 14294, 1023, 543, 7010, 318, 8245, 517, 454, 295, 599, 7219, 1299, 31550, 11709, 966, 8696, 454, 278, 454, 293, 537, 8175, 11724, 725, 540, 6178, 1023, 1299, 700, 2316, 7010, 22263, 11724, 725, 540, 6178, 1023, 1299, 700, 2316, 7010, 454, 6224, 22790, 454, 314, 289, 316, 2598, 4740, 6066, 2013, 912, 272, 269, 661, 3394, 10517, 19948, 281, 8431, 269, 476, 274, 269, 275, 630, 322, 264, 8431, 269, 476, 274, 269, 275, 630, 322, 264, 630, 1496, 476, 8079, 1496, 9948, 670, 562, 562, 642, 3331, 361, 341, 21591, 292, 3394, 10818, 281, 1496, 23378, 329, 562, 454, 333, 552, 642, 454, 302, 454, 23751, 292, 3394, 7407, 281, 630, 12467, 329, 454, 295, 552, 3331, 361, 454, 302, 454, 23751, 273, 269, 18452, 912, 272, 454, 314, 23378, 330, 454, 300, 454, 329, 562, 454, 330, 454, 330, 454, 343, 562, 513, 552, 454, 302, 454, 23751, 23751, 382, 363, 454, 20479, 912, 263, 12467, 272, 454, 314, 23378, 330, 454, 300, 454, 329, 562, 795, 454, 330, 454, 330, 454, 344, 562, 513, 670, 552, 552, 454, 302, 744, 454, 23751, 23751, 382, 363, 454, 274, 269, 274, 476, 274, 269, 274, 22263, 11724, 725, 585, 9050, 5049, 540, 6178, 1023, 22263, 11724, 725, 585, 9050, 5049, 540, 6178, 1023, 454, 266, 9050, 3982, 22263, 11269, 281, 7305, 476, 274, 269, 272, 7305, 476, 274, 269, 272, 563, 14294, 1023, 543, 7010, 318, 8245, 517, 454, 295, 599, 7219, 1299, 31550, 11709, 966, 8696, 454, 279, 454, 293, 537, 8175, 11724, 725, 540, 6178, 1023, 1299, 700, 2316, 7010, 22263, 11724, 725, 540, 6178, 1023, 1299, 700, 2316, 7010, 454, 6224, 22790, 454, 271, 476, 271, 454, 529, 519, 555, 23191, 540, 4586, 329, 330, 512, 795, 512, 454, 324, 737, 552, 454, 324, 552, 454, 32504, 274, 269, 634, 1950, 18980, 6950, 1163, 27203, 330, 302, 454, 334, 454, 333, 264, 616, 715, 12656, 1675, 923, 538, 519, 4908, 4994, 737, 563, 283, 2999, 335, 325, 269, 285, 533, 325, 269, 285, 630, 3738, 562, 795, 330, 562, 795, 301, 562, 918, 715, 795, 454, 324, 552, 552, 454, 271, 476, 271, 476, 271, 454, 302, 744, 744, 30492, 23751, 333, 795, 301, 562, 795, 454, 324, 552, 454, 271, 454, 273, 744, 454, 23751, 339, 562, 795, 330, 454, 324, 454, 271, 454, 302, 454, 23751, 2467, 616, 1152, 715, 3982, 1950, 18980, 6950, 540, 519, 1106, 1163, 27203, 330, 302, 454, 271, 454, 333, 994, 29019, 581, 1031, 538, 26169, 269, 630, 274, 269, 275, 1916, 292, 336, 269, 630, 274, 269, 275, 994, 271, 454, 272, 454, 271, 454, 263, 3738, 1496, 23378, 301, 454, 329, 330, 562, 454, 330, 454, 343, 512, 589, 737, 552, 454, 383, 371, 454, 302, 454, 23751, 23751, 382, 363, 454, 263, 274, 269, 277, 994, 266, 6641, 5471, 1845, 538, 1535, 25208, 14158, 274, 269, 274, 269, 272, 476, 274, 269, 274, 269, 272, 11270, 545, 6178, 1023, 281, 22263, 10022, 11724, 725, 11270, 545, 6178, 1023, 281, 22263, 10022, 11724, 725, 454, 272, 269, 1535, 19559, 316, 815, 15768, 6066, 5365, 609, 4909, 1974, 715, 269, 667, 307, 12396, 540, 1535, 19559, 316, 568, 454, 271, 454, 314, 9948, 1496, 23378, 329, 330, 562, 454, 330, 454, 343, 562, 589, 737, 552, 454, 302, 454, 23751, 382, 363, 630, 274, 269, 275, 994, 302, 454, 334, 454, 284, 476, 273, 339, 21610, 21680, 27284, 454, 325, 15968, 540, 1535, 19559, 2639, 273, 269, 1535, 6025, 264, 815, 6024, 6066, 5365, 609, 4909, 1974, 570, 269, 674, 306, 540, 1535, 6025, 264, 568, 454, 271, 454, 263, 3738, 1496, 23378, 329, 330, 512, 454, 330, 454, 343, 512, 589, 737, 552, 454, 324, 454, 23751, 382, 363, 630, 274, 269, 276, 994, 324, 454, 334, 454, 284, 476, 273, 339, 20081, 21680, 27284, 454, 325, 15968, 540, 1535, 6025, 994, 266, 968, 317, 892, 18575, 16977, 1871, 269, 589, 25208, 316, 815, 519, 2597, 4294, 547, 519, 737, 454, 628, 454, 327, 1301, 4577, 563, 330, 815, 21680, 630, 301, 21680, 476, 272, 8358, 273, 547, 630, 301, 21680, 476, 272, 8358, 273, 454, 14294, 1023, 543, 7010, 318, 8245, 517, 454, 295, 599, 7219, 1299, 31550, 11709, 966, 8696, 454, 280, 454, 293, 537, 8175, 11724, 725, 540, 6178, 1023, 1299, 700, 2316, 7010, 22263, 11724, 725, 540, 6178, 1023, 1299, 700, 2316, 7010, 454, 6224, 22790, 454, 275, 269, 23120, 6066, 1950, 18980, 1355, 1163, 27203, 651, 454, 271, 454, 339, 264, 609 ]

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

[ 532, 513, 4605, 454, 2419, 6064, 532, 270, 30112, 1377, 676, 1377, 1403, 513, 4214, 3322, 2789, 6106, 540, 3067, 13294, 269, 6423, 28001, 781, 8847, 585, 4399, 29166, 27432, 27572, 29148, 267, 5555, 4399, 29166, 27432, 27572, 29148, 267, 4399, 29166, 27432, 27572, 611, 6254, 267, 3092, 563, 2026, 6362, 930, 6006, 2055, 585, 513, 2016, 2361, 769, 1939, 1464, 3069, 267, 596, 1058, 2141, 581, 6998, 834, 3674, 713, 1599, 2698, 610, 9864, 8119, 610, 3116, 596, 1981, 4742, 11821, 780, 1103, 5276, 7223, 630, 15290, 2944, 538, 513, 11282, 6954, 1259, 264, 835, 1058, 2141, 2307, 834, 529, 713, 6152, 2230, 13113, 8820, 12482, 296, 1589, 930, 824, 4610, 849, 723, 713, 2186, 540, 2243, 602, 596, 1058, 2141, 581, 6998, 540, 3615, 780, 1012, 18467, 547, 3432, 1919, 909, 692, 2467, 616, 1896, 2081, 547, 3432, 909, 4882, 330, 760, 3268, 538, 519, 1657, 3349, 267, 865, 602, 835, 3085, 1405, 6108, 1932, 1454, 942, 593, 8847, 780, 2162, 32303, 344, 1620, 692, 3080, 2856, 568, 547, 18178, 3843, 547, 2731, 9240, 330, 513, 4214, 693, 1101, 267, 543, 1294, 1018, 3983, 1919, 1522, 4755, 269, 634, 2856, 568, 547, 1287, 1152, 2097, 1394, 547, 519, 4214, 950, 835, 2115, 3877, 689, 621, 269, 901, 568, 2147, 547, 27823, 6268, 538, 5752, 780, 2162, 8490, 1055, 2147, 8847, 692, 2252, 513, 2147, 4214, 814, 1175, 1044, 3989, 630, 663, 835, 814, 3144, 519, 942, 547, 1174, 621, 1070, 513, 2147, 4214, 786, 711, 991, 607, 1454, 942, 547, 1174, 630, 821, 1152, 2115, 547, 1445, 593, 519, 3604, 1063, 519, 1079, 8847, 1040, 1280, 3236, 267, 1310, 835, 814, 6956, 1305, 9769, 267, 835, 666, 5266, 3533, 1174, 1305, 10167, 780, 2162, 1234, 2391, 593, 1995, 543, 20932, 692, 30631, 1302, 267, 1310, 835, 814, 6594, 513, 2603, 540, 6128, 267, 1620, 8847, 3587, 811, 13128, 269, 2290, 666, 2744, 606, 20932, 540, 799, 3268, 616, 1271, 585, 513, 1880, 4214, 267, 610, 950, 547, 6108, 930, 942, 543, 950, 547, 1847, 3533, 269, 0, 258, 27387, 281, 4009, 5072, 543, 2942, 20581, 692, 272, 269, 12361, 4009, 5072, 543, 2942, 20581, 692, 2889, 12378, 912, 8340, 519, 3970, 269, 630, 2252, 596, 991, 547, 946, 910, 610, 2073, 4283, 910, 2562, 293, 2562, 14510, 610, 5442, 293, 2562, 14510, 24355, 296, 1131, 2491, 1018, 476, 633, 2944, 538, 811, 1469, 267, 855, 1775, 917, 708, 7508, 1945, 1813, 547, 1535, 16042, 2258, 269, 20581, 267, 855, 1775, 1705, 9062, 519, 1657, 1187, 551, 269, 676, 922, 31669, 547, 1205, 630, 343, 268, 272, 19422, 343, 30026, 3597, 540, 1535, 317, 273, 266, 275, 343, 1040, 1215, 1131, 1775, 979, 827, 713, 286, 11289, 596, 269, 910, 292, 7079, 692, 273, 269, 20323, 17397, 676, 5345, 534, 14389, 574, 807, 454, 2889, 12378, 912, 8340, 519, 3970, 269, 630, 2252, 596, 991, 547, 946, 910, 610, 2073, 4283, 910, 2562, 293, 2562, 14510, 610, 5442, 293, 2562, 14510, 24355, 296, 1131, 2491, 1018, 476, 633, 2944, 538, 811, 1469, 267, 855, 1775, 917, 708, 7508, 1945, 1813, 547, 1535, 16042, 2258, 269, 20581, 267, 855, 1775, 1705, 9062, 519, 1657, 1187, 551, 269, 676, 922, 31669, 547, 1205, 630, 343, 268, 272, 19422, 343, 30026, 3597, 540, 1535, 317, 273, 266, 275, 343, 1040, 1215, 1131, 1775, 979, 827, 713, 286, 11289, 596, 269, 910, 292, 7079, 454, 4131, 4399, 6234, 1535, 815, 910, 339, 259, 543, 5173, 4399, 6234, 1422, 3916, 3709, 339, 1422, 21375, 1341, 1422, 13727, 348, 1422, 3847, 263, 1422, 6912, 346, 512, 317, 273, 910, 476, 275, 339, 348, 910, 512, 9368, 7751, 780, 274, 269, 21411, 1934, 568, 1018, 1775, 723, 13718, 338, 336, 10174, 6025, 317, 273, 268, 275, 339, 9984, 339, 2608, 13483, 10174, 6025, 317, 273, 268, 275, 339, 11924, 339, 454, 2411, 734, 454, 272, 2608, 13483, 10174, 6025, 317, 273, 268, 275, 339, 11924, 339, 692, 339, 317, 273, 268, 275, 339, 2389, 317, 273, 454, 1366, 955, 8894, 338, 336, 10174, 6025, 317, 273, 268, 275, 339, 11924, 339, 692, 4621, 13521, 622, 899, 2474, 1287, 7941, 676, 512, 19601, 268, 275, 454, 1366, 9339, 8894, 265, 13483, 10174, 6025, 317, 273, 268, 275, 339, 11924, 272, 692, 6011, 666, 1775, 5265, 4194, 585, 519, 14009, 609, 519, 13483, 10174, 3238, 286, 594, 723, 1945, 593, 1957, 602, 4991, 803, 13483, 10174, 6025, 268, 275, 11924, 272, 799, 568, 1034, 2693, 4636, 269, 8729, 780, 275, 269, 20323, 17397, 676, 5345, 534, 14389, 574, 807, 454, 302, 330, 1934, 568, 1018, 1775, 723, 13718, 338, 336, 10174, 6025, 317, 273, 268, 275, 339, 9984, 339, 2608, 13483, 10174, 6025, 317, 273, 268, 275, 339, 11924, 339, 454, 2411, 734, 454, 272, 2608, 13483, 10174, 6025, 317, 273, 268, 275, 339, 11924, 339, 692, 339, 317, 273, 268, 275, 339, 2389, 317, 273, 454, 1366, 955, 8894, 338, 336, 10174, 6025, 317, 273, 268, 275, 339, 11924, 339, 692, 4621, 13521, 622, 899, 2474, 1287, 7941, 676, 512, 19601, 268, 275, 454, 1366, 9339, 8894, 265, 13483, 10174, 6025, 317, 273, 268, 275, 339, 11924, 272, 692, 6011, 666, 1775, 5265, 4194, 585, 519, 14009, 609, 519, 13483, 10174, 3238, 286, 594, 723, 1945, 593, 1957, 602, 4991, 803, 13483, 10174, 6025, 268, 275, 11924, 272, 799, 568, 1034, 2693, 4636, 269, 8729, 563, 2691, 596, 5258, 519, 14009, 676, 512, 267, 596, 8959, 547, 7941, 519, 4009, 3597, 2165, 676, 512, 269, 634, 2953, 4082, 568, 4399, 6234, 1422, 2765, 24877, 275, 7346, 6912, 346, 272, 910, 1422, 2765, 346, 275, 2410, 339, 3686, 1341, 476, 272, 23201, 3767, 1491, 519, 2838, 3970, 780, 276, 269, 594, 1294, 269, 1215, 1131, 1775, 5265, 7941, 512, 676, 519, 14009, 286, 594, 917, 713, 568, 2653, 267, 855, 1250, 7223, 568, 1055, 269, 594, 917, 12270, 676, 512, 538, 519, 13483, 10174, 530, 2632, 2731, 960, 8259, 512, 3294, 568, 1369, 513, 4009, 3597, 267, 865, 512, 284, 13483, 10174, 6025, 317, 273, 1070, 993, 1775, 1318, 286, 1403, 602, 338, 865, 267, 1287, 1775, 666, 1294, 13483, 10174, 6025, 317, 273, 268, 275, 339, 994, 339, 9506, 883, 630, 272, 268, 275, 14121, 1070, 855, 1131, 660, 519, 476, 272, 2490, 883, 476, 272, 4882, 336, 10174, 3287, 317, 273, 264, 799, 1131, 3160, 476, 271, 286, 594, 917, 708, 4636, 267, 1175, 3206, 856, 10978, 780, 9827, 267, 596, 6045, 713, 1732, 982, 1250, 2979, 4116, 2221, 267, 7064, 585, 3388, 780, 277, 269, 20323, 17397, 676, 5345, 534, 14389, 574, 807, 454, 296, 1294, 269, 1215, 1131, 1775, 5265, 7941, 512, 676, 519, 14009, 286, 594, 917, 713, 568, 2653, 267, 855, 1250, 7223, 568, 1055, 269, 594, 917, 12270, 676, 512, 538, 519, 13483, 10174, 530, 2632, 2731, 960, 8259, 512, 3294, 568, 1369, 513, 4009, 3597, 267, 865, 512, 284, 13483, 10174, 6025, 317, 273, 1070, 993, 1775, 1318, 286, 1403, 602, 338, 865, 267, 1287, 1775, 666, 1294, 13483, 10174, 6025, 317, 273, 268, 275, 339, 994, 339, 9506, 883, 630, 272, 268, 275, 14121, 1070, 855, 1131, 660, 519, 476, 272, 2490, 883, 476, 272, 4882, 336, 10174, 3287, 317, 273, 264, 799, 1131, 3160, 476, 271, 286, 594, 917, 708, 4636, 267, 1175, 3206, 856, 10978, 780, 9827, 267, 596, 6045, 713, 1732, 982, 1250, 2979, 4116, 2221, 267, 7064, 585, 3388, 563, 2791, 7941, 1142, 2165, 538, 519, 14009, 676, 512, 780, 291, 1204, 532, 519, 4009, 3597, 2165, 676, 512, 1568, 538, 519, 1259, 596, 723, 4330, 269, 1656, 950, 596, 7941, 519, 824, 2165, 676, 512, 630, 663, 602, 824, 2165, 568, 512, 264, 1287, 596, 1205, 512, 14121, 815, 476, 272, 269, 1924, 596, 1439, 909, 609, 513, 14009, 607, 594, 11540, 269, 0, 266, 271, 692, 258, 5225, 948, 692, 271, 454, 10463, 454, 272, 692, 2252, 1079, 26852, 616, 6537, 689, 513, 2721, 518, 5627, 476, 277, 15454, 26852, 543, 476, 279, 4544, 26852, 267, 1287, 1018, 568, 519, 5506, 540, 3478, 513, 20083, 6292, 2496, 9802, 476, 1691, 267, 476, 1708, 271, 692, 2162, 476, 272, 266, 271, 12226, 692, 258, 272, 454, 266, 25546, 7871, 454, 271, 692, 2791, 666, 1205, 513, 20083, 15454, 6292, 610, 513, 20083, 4544, 6292, 1384, 294, 9445, 281, 1109, 476, 277, 270, 1691, 1535, 476, 276, 270, 1724, 1109, 815, 1109, 476, 1428, 270, 11011, 692, 23325, 281, 1109, 476, 279, 270, 1691, 1535, 476, 278, 270, 1724, 1109, 815, 1109, 476, 275, 270, 1724, 692, 29002, 891, 1927, 547, 1205, 519, 3803, 2626, 281, 1109, 476, 6246, 270, 11011, 692, 9802, 476, 1691, 267, 476, 1708, 271, 0, 258, 14581, 6435, 281, 11512, 566, 910, 2578, 269, 24665, 566, 543, 19358, 1113, 24665, 566, 10484, 272, 269, 9947, 476, 278, 267, 476, 1220, 280, 692, 2162, 6264, 3064, 343, 692, 272, 269, 634, 1966, 3948, 267, 782, 4632, 543, 2016, 270, 4385, 1239, 454, 10521, 4542, 593, 17040, 6517, 616, 27410, 513, 9764, 2490, 267, 543, 789, 723, 519, 1482, 1298, 269, 10231, 269, 1717, 267, 519, 2619, 540, 1286, 589, 814, 513, 8953, 540, 476, 4366, 544, 267, 1247, 602, 540, 1286, 645, 568, 476, 3607, 544, 269, 14419, 519, 32311, 540, 16070, 838, 539, 540, 1286, 589, 547, 519, 16070, 3432, 540, 1286, 645, 563, 273, 269, 31999, 4834, 454, 341, 273, 815, 6695, 18652, 2330, 273, 1341, 678, 273, 692, 8809, 815, 642, 273, 29265, 454, 274, 269, 634, 3801, 693, 513, 3070, 454, 810, 11214, 1775, 3893, 519, 1318, 2626, 676, 2921, 519, 4009, 3597, 540, 630, 274, 270, 275, 1040, 26023, 1775, 993, 11842, 952, 2576, 1223, 948, 803, 979, 998, 519, 7223, 547, 1205, 519, 3803, 1267, 780, 12552, 454, 272, 269, 634, 1966, 3948, 267, 782, 4632, 543, 2016, 270, 4385, 1239, 692, 273, 269, 31999, 4834, 692, 274, 269, 634, 3801, 693, 513, 3070, 692, 273, 269, 9947, 476, 278, 267, 476, 1220, 280, 692, 2162, 6264, 3064, 343, 692, 716, 1302, 1775, 917, 875, 547, 798, 519, 3473, 3630, 1018, 1775, 5921, 547, 2307, 729, 1946, 568, 621, 555, 4009, 10174, 540, 630, 274, 270, 275, 264, 543, 711, 630, 275, 270, 274, 2020, 274, 269, 9947, 476, 278, 267, 476, 1220, 280, 692, 2162, 4224, 8807, 516, 752, 5780, 278, 692, 2330, 293, 7807, 18652, 317, 273, 678, 9681, 2330, 293, 318, 288, 7807, 18652, 318, 288, 317, 273, 678, 318, 288, 9681, 2330, 293, 29758, 7807, 18652, 29758, 317, 273, 678, 29758, 9681, 337, 288, 284, 4366, 454, 337, 289, 284, 3607, 692, 2791, 1616, 547, 1205, 530, 288, 11320, 289, 780, 7712, 14174, 284, 293, 289, 18092, 14174, 22077, 289, 284, 272, 692, 9989, 713, 948, 6029, 875, 547, 1205, 519, 2626, 2496, 275, 269, 9947, 476, 278, 267, 476, 1220, 280, 692, 2162, 6264, 3064, 343, 692, 13433, 256, 2433, 264, 7064, 1360, 1454, 8627, 0, 258, 1215, 547, 1265, 519, 32671, 1297, 2496, 1892, 5239, 476, 3066, 628, 267, 476, 1001, 274, 267, 476, 5400, 281, 2537, 6751, 454, 9188, 328, 309, 6400, 454, 1692, 547, 1265, 519, 32671, 1297, 888, 1432, 568, 519, 1982, 827, 2496, 1607, 1982, 814, 476, 273, 4247, 563, 3080, 568, 547, 1820, 782, 519, 1256, 2338, 689, 476, 271, 547, 476, 1911, 454, 13553, 568, 547, 4283, 513, 1297, 1063, 476, 272, 547, 476, 1015, 543, 723, 519, 1982, 1820, 1169, 32671, 1297, 1063, 476, 271, 543, 476, 1911, 269, 1280, 1383, 267, 952, 596, 4283, 476, 276, 1287, 476, 271, 267, 476, 276, 267, 476, 1015, 267, 476, 1428, 267, 476, 736, 10371, 476, 4817, 267, 476, 1911, 568, 9102, 780, 1432, 568, 519, 1966, 2496, 296, 2907, 6192, 4305, 835, 269, 1656, 2034, 4305, 594, 1589, 594, 993, 3592, 2944, 568, 547, 1820, 519, 32671, 1297, 855, 594, 991, 519, 4542, 602, 9060, 519, 32671, 1297, 563, 3383, 875, 666, 602, 581, 2944, 780, 24927, 23241, 3499, 5814, 28162, 269, 583, 559, 2529, 4754, 1676, 282, 1857, 1362, 4634, 301, 4548, 2715, 1857, 11979, 20704, 1292, 263, 21642, 26571, 314, 8079, 2715, 703, 1256, 19617, 284, 273, 282, 703, 1297, 282, 703, 1775, 282, 2480, 534, 1676, 521, 815, 1007, 2480, 534, 1676, 263, 21902, 23357, 5148, 585, 16216, 1597, 19617, 284, 273, 282, 16838, 19617, 27045, 1911, 282, 16838, 19617, 23785, 273, 264, 3590, 269, 719, 31428, 16216 ]

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

[ 513, 1978, 2564, 5868, 267, 607, 519, 4576, 666, 4434, 3533, 563, 29819, 540, 1773, 6558, 538, 17268, 454, 291, 9233, 602, 6876, 20575, 616, 1447, 1034, 2693, 547, 1020, 2564, 2068, 543, 616, 3335, 28105, 269, 1403, 789, 798, 7866, 4791, 4191, 540, 519, 4576, 267, 891, 786, 581, 20060, 24594, 543, 1522, 2874, 540, 912, 268, 1323, 24803, 6179, 6242, 454, 268, 769, 4148, 3139, 9726, 9136, 454, 2467, 616, 476, 274, 2010, 540, 20575, 267, 1022, 540, 799, 1522, 1764, 707, 22578, 563, 268, 32686, 4577, 20575, 1107, 634, 1034, 6093, 1826, 540, 20575, 269, 898, 5222, 519, 9726, 15374, 543, 2982, 607, 28332, 9726, 9136, 563, 268, 623, 12149, 4577, 20575, 1107, 19732, 839, 950, 962, 11641, 529, 8764, 919, 519, 9641, 267, 799, 3622, 3123, 16415, 543, 799, 568, 5393, 11763, 563, 268, 1530, 10364, 2438, 20575, 1107, 10552, 3968, 538, 799, 519, 17900, 2333, 538, 519, 1973, 563, 3725, 3517, 1280, 1773, 6558, 538, 17268, 454, 763, 17900, 962, 619, 27091, 11641, 529, 568, 519, 1463, 2601, 585, 519, 20575, 267, 799, 568, 3335, 4362, 538, 23224, 630, 337, 1846, 267, 8983, 267, 25277, 267, 8423, 9094, 264, 543, 538, 519, 7904, 553, 602, 3049, 2390, 873, 269, 1879, 513, 22578, 13788, 5905, 609, 513, 13572, 887, 4823, 779, 19975, 267, 28797, 267, 610, 5160, 267, 646, 7475, 909, 1373, 6534, 547, 962, 11641, 529, 269, 589, 4620, 2915, 1522, 11338, 4579, 519, 4576, 952, 3787, 1084, 676, 513, 13572, 7904, 320, 269, 17268, 602, 2661, 538, 2127, 1141, 962, 11641, 529, 568, 21049, 267, 971, 607, 538, 519, 6917, 7178, 540, 519, 2136, 2276, 267, 616, 693, 3152, 8594, 585, 20575, 269, 769, 891, 6753, 267, 621, 568, 15695, 602, 596, 1832, 707, 22578, 3330, 610, 593, 513, 682, 1662, 950, 16538, 563, 21357, 23369, 540, 1773, 6558, 538, 17268, 454, 18814, 547, 519, 1249, 602, 519, 4191, 585, 20575, 616, 20060, 24594, 267, 519, 17022, 1522, 711, 3494, 20575, 1318, 2476, 269, 18242, 519, 17022, 609, 513, 2698, 1686, 2429, 519, 16861, 6268, 267, 9967, 540, 519, 12614, 543, 1377, 540, 1022, 4791, 4191, 596, 4767, 269, 634, 17022, 786, 4163, 856, 513, 5730, 1072, 6514, 543, 1685, 1973, 4255, 543, 2712, 1400, 1736, 547, 1205, 7759, 540, 824, 2009, 2175, 607, 513, 2014, 585, 707, 22578, 779, 4191, 563, 5522, 6558, 568, 3622, 9571, 676, 7114, 962, 11641, 529, 538, 707, 22578, 779, 1973, 610, 5160, 269, 27842, 1522, 581, 9715, 998, 513, 9726, 6843, 8321, 622, 267, 3003, 1973, 1449, 267, 610, 513, 2220, 629, 540, 513, 1951, 1456, 12992, 15319, 269, 1452, 4529, 616, 1034, 6325, 952, 789, 616, 3144, 1991, 547, 1022, 13310, 11216, 616, 13950, 267, 1498, 4255, 1590, 1869, 581, 5340, 1256, 952, 707, 22578, 814, 2965, 4867, 1044, 6035, 6646, 269, 1635, 8159, 519, 1880, 11248, 267, 519, 17022, 568, 1454, 1732, 2111, 547, 4363, 1697, 2126, 269, 27842, 786, 581, 2366, 856, 547, 606, 2404, 2978, 585, 9584, 1813, 547, 519, 8594, 540, 3662, 3562, 25993, 6771, 563, 21675, 540, 1773, 6558, 538, 17268, 454, 21675, 568, 3622, 13175, 1991, 547, 513, 598, 5477, 2564, 5868, 568, 1500, 267, 607, 519, 4576, 666, 4434, 2731, 6385, 269, 634, 17022, 786, 17982, 1585, 13310, 11216, 4470, 2390, 519, 1377, 540, 707, 22578, 779, 2068, 269, 25792, 5061, 602, 1522, 581, 5227, 2874, 540, 912, 7712, 972, 568, 513, 8594, 602, 519, 20575, 1522, 1847, 689, 707, 22578, 547, 596, 267, 707, 22578, 786, 2154, 547, 581, 32509, 2429, 519, 21380, 8653, 952, 519, 17022, 14659, 602, 646, 814, 519, 20575, 269, 634, 29164, 8653, 585, 20575, 538, 5243, 8677, 689, 835, 1554, 547, 835, 3018, 269, 3465, 5524, 11216, 786, 1034, 1034, 2693, 581, 22280, 267, 1498, 2899, 707, 22578, 8761, 23053, 540, 2564, 19349, 267, 519, 17022, 1522, 2303, 28720, 6646, 30375, 563, 3891, 2718, 540, 1773, 6558, 538, 17268, 454, 5522, 6558, 568, 513, 1990, 3019, 5328, 4576, 267, 543, 4352, 2915, 3562, 25993, 6771, 568, 8966, 267, 621, 568, 1869, 2009, 269, 901, 568, 1946, 621, 568, 1271, 602, 596, 6615, 3346, 609, 707, 22578, 2429, 519, 21380, 8653, 269, 4495, 519, 20575, 2564, 5868, 814, 2965, 1044, 24019, 267, 519, 17022, 786, 1832, 707, 22578, 32509, 11489, 707, 22578, 814, 2965, 973, 10967, 730, 18113, 547, 6175, 519, 8594, 540, 6771, 563, 2252, 596, 2661, 538, 513, 4087, 538, 799, 962, 11641, 529, 568, 21049, 267, 1118, 1978, 602, 596, 946, 7904, 320, 1852, 6646, 22991, 799, 596, 711, 5512, 707, 22578, 547, 588, 2651, 3362, 267, 607, 6382, 707, 22578, 1522, 581, 5368, 2739, 539, 269, 7799, 2787, 707, 22578, 689, 10024, 883, 1289, 609, 3552, 23224, 610, 741, 3276, 4900, 267, 543, 3346, 707, 6237, 1857, 1072, 8128, 1318, 2476, 952, 596, 3494, 602, 707, 22578, 1522, 723, 26438, 519, 20575, 269, 0, 12218, 476, 274, 18438, 454, 2691, 11778, 543, 9502, 6119, 2270, 1114, 8827, 19590, 267, 519, 4611, 31992, 568, 711, 2953, 269, 769, 930, 6381, 267, 519, 11410, 565, 1807, 5360, 1622, 602, 519, 8544, 1127, 798, 711, 16937, 630, 15290, 789, 1058, 1070, 543, 538, 1866, 519, 11410, 565, 730, 2361, 2418, 616, 26987, 676, 513, 3815, 1644, 547, 519, 3017, 538, 8827, 19590, 563, 763, 1966, 568, 602, 519, 11410, 565, 1807, 3112, 1224, 8827, 19590, 689, 513, 9502, 11711, 630, 21671, 513, 11778, 11711, 1070, 543, 538, 713, 2013, 17648, 789, 616, 9838, 538, 1312, 6119, 630, 328, 4318, 269, 519, 6151, 2418, 616, 11410, 565, 730, 1510, 3617, 18440, 1040, 634, 4611, 7180, 666, 581, 17450, 543, 8827, 5149, 8200, 269, 1280, 1383, 912, 268, 3604, 538, 519, 20099, 1770, 949, 1267, 538, 7805, 9864, 610, 1875, 27492, 331, 777, 540, 8544, 1127, 630, 1492, 8545, 4611, 538, 5821, 540, 31992, 1916, 268, 3604, 538, 1022, 8827, 5149, 786, 1267, 538, 606, 7805, 18440, 540, 519, 11410, 565, 730, 2361, 2418, 563, 2690, 11931, 1533, 9273, 1141, 519, 31992, 568, 3811, 267, 519, 24626, 949, 1869, 2196, 547, 19427, 269, 1717, 267, 585, 23644, 9273, 519, 3803, 3070, 568, 8200, 593, 519, 3355, 2175, 543, 786, 581, 11234, 563, 9616, 602, 950, 16198, 540, 1079, 11778, 6119, 568, 5340, 1210, 519, 12433, 20212, 4781, 267, 519, 4611, 16338, 4632, 454, 5591, 960, 19925, 568, 4867, 2139, 269, 0, 10387, 3827, 540, 12971, 343, 666, 581, 2901, 705, 730, 610, 6417, 676, 3119, 3800, 610, 1166, 826, 3154, 2126, 4066, 269, 12729, 3800, 585, 12971, 343, 1852, 949, 581, 5258, 883, 519, 1739, 6688, 912, 14315, 518, 5688, 5314, 585, 12971, 343, 1852, 630, 1410, 947, 2011, 1852, 267, 6633, 518, 5386, 25122, 994, 1515, 588, 1645, 630, 1478, 13933, 2011, 610, 1079, 22533, 13674, 994, 4148, 826, 3154, 973, 597, 27218, 454, 325, 3241, 588, 1645, 630, 14315, 518, 856, 540, 3028, 267, 4492, 1979, 2084, 267, 6450, 9506, 610, 1614, 3942, 13674, 994, 869, 12971, 343, 6633, 619, 454, 289, 1248, 518, 5688, 5314, 2553, 543, 1970, 12971, 343, 6633, 619, 616, 1031, 547, 6922, 1047, 519, 5250, 540, 12971, 343, 1282, 13674, 269, 769, 2011, 588, 1645, 543, 1166, 826, 3154, 973, 597, 27218, 4066, 267, 519, 2832, 568, 547, 2569, 519, 5135, 8244, 547, 948, 2569, 12971, 343, 5250, 543, 2347, 519, 13674, 269, 769, 4492, 588, 1645, 267, 5892, 4646, 12971, 343, 568, 4389, 547, 9436, 543, 5135, 1369, 519, 19460, 630, 306, 3716, 543, 30738, 553, 11867, 267, 476, 1960, 277, 1916, 27650, 3800, 585, 12971, 343, 1852, 630, 14315, 518, 5688, 5314, 267, 1970, 12971, 343, 6633, 619, 543, 936, 13933, 2011, 264, 616, 1631, 2808, 7533, 2694, 540, 513, 9241, 3710, 1379, 2030, 543, 4540, 4559, 27164, 7257, 873, 8164, 789, 616, 2838, 547, 2569, 741, 12971, 343, 5434, 269, 590, 10135, 568, 7608, 2429, 519, 1158, 607, 519, 8810, 5010, 4781, 547, 3035, 1164, 12971, 343, 8851, 269, 1717, 267, 1007, 7835, 538, 3119, 3800, 267, 971, 607, 3498, 540, 519, 6450, 9506, 1184, 693, 1804, 4336, 267, 4359, 6450, 9506, 607, 1134, 607, 2022, 10687, 321, 755, 542, 1166, 826, 3154, 2126, 971, 607, 19301, 10135, 543, 5916, 14298, 273, 270, 17472, 343, 1852, 1949, 1058, 2709, 8925, 547, 590, 10135, 538, 519, 2104, 269, 0, 1607, 9074, 6663, 693, 2866, 1053, 538, 519, 1646, 540, 513, 10386, 4640, 543, 519, 5542, 540, 3732, 4559, 585, 1808, 2010, 540, 10386, 2409, 563, 5415, 4481, 267, 676, 519, 1439, 540, 519, 9074, 267, 1053, 1058, 581, 2111, 547, 267, 9935, 547, 513, 1382, 2243, 543, 606, 3617, 1353, 1374, 547, 2626, 547, 602, 2243, 912, 1700, 7600, 1227, 2824, 519, 1826, 540, 3732, 547, 581, 6537, 543, 17854, 741, 3903, 454, 1700, 3763, 513, 10386, 4640, 602, 2882, 281, 8446, 540, 2596, 3732, 4559, 543, 1797, 547, 3927, 3914, 1346, 2596, 3732, 4559, 630, 324, 3052, 1421, 10386, 14604, 267, 5542, 540, 645, 24746, 994, 16914, 1042, 1243, 607, 513, 570, 1886, 10955, 4359, 1576, 454, 9359, 4266, 281, 476, 275, 628, 694, 4697, 476, 1001, 279, 454, 17484, 4266, 281, 476, 1428, 628, 694, 4697, 476, 1001, 279, 454, 10831, 540, 4025, 454, 10743, 11504, 713, 1576, 1058, 723, 3105, 1702, 630, 3698, 6873, 543, 2101, 2934, 267, 5383, 543, 11393, 264, 593, 2241, 4351, 10386, 267, 14404, 1881, 10386, 267, 844, 7974, 10386, 267, 12440, 10386, 267, 9836, 10386, 267, 6777, 4252, 10386, 267, 4431, 550, 9141, 10386, 563, 1103, 519, 1101, 851, 540, 519, 1576, 267, 2035, 593, 10386, 786, 581, 12649, 543, 786, 3382, 454, 272, 269, 4985, 547, 10386, 912, 272, 269, 272, 269, 1548, 2306, 513, 1434, 3732, 286, 19047, 827, 2099, 520, 4369, 267, 5007, 543, 4835, 14496, 3248, 272, 269, 273, 269, 6341, 7204, 543, 1875, 1606, 600, 7204, 6959, 281, 4351, 6959, 267, 9186, 543, 1476, 895, 619, 563, 273, 269, 3245, 8888, 513, 1434, 3732, 547, 7446, 10386, 4559, 912, 273, 269, 272, 269, 5871, 3732, 6272, 538, 27496, 543, 2101, 2934, 281, 2241, 4351, 10386, 267, 14404, 1881, 10386, 267, 844, 7974, 10386, 267, 12440, 10386, 267, 9836, 10386, 267, 6777, 4252, 10386, 267, 4431, 550, 9141, 10386, 3248, 5475, 17265, 519, 9115, 1657, 5018, 267, 649, 786, 1445, 593, 875, 547, 1374, 2500, 10386, 2994, 267, 1775, 4318, 267, 875, 547, 979, 689, 519, 7811, 10386, 5650, 547, 2731, 3478, 519, 2596, 3732, 4559, 2877, 547, 2626, 519, 1382, 2243, 269, 4935, 267, 649, 786, 1445, 593, 912, 274, 269, 3903, 540, 10386, 14604, 543, 10386, 4559, 2687, 547, 513, 2016, 1826, 540, 3732, 267, 8600, 2361, 960, 630, 324, 3052, 1421, 8600, 8261, 338, 585, 10018, 532, 602, 1346, 10655, 1239, 616, 2111, 547, 2824, 519, 645, 24746, 609, 513, 5934, 9186, 2009, 563, 15411, 2394, 4098, 540, 5181, 476, 1001, 278, 630, 15905, 1297, 540, 7477, 17473, 1916, 10743, 1058, 723, 1991, 1702, 593, 2010, 540, 5439, 543, 741, 2596, 1374, 543, 593, 19106, 540, 3732, 2450, 563, 10743, 1058, 581, 21295, 538, 2296, 610, 14082, 563, 25583, 540, 2296, 15334, 4397, 281, 9215, 9128, 299, 1449, 6060, 476, 22659, 2780, 2861, 610, 476, 20862, 1957, 2861, 610, 476, 8064, 268, 3199, 4950, 2861, 610, 28568, 6512, 476, 277, 269, 271, 563, 10743, 15861, 547, 513, 5398, 7070, 1644, 9457, 779, 23422, 19510, 949, 6443, 713, 1576, 630, 324, 3052, 269, 21050, 10955, 8416, 1040 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 912, 825, 1948, 453, 453, 258, 674, 9229, 610, 16309, 910, 798, 1945, 827, 621, 454, 825, 1948, 28432, 912, 825, 1948, 453, 453, 258, 15822, 12122, 910, 798, 1945, 1114, 827, 621, 454, 825, 7575, 815, 1496, 454, 2018, 1496, 2903, 25292, 267, 834, 303, 257, 16689, 2018, 1496, 684, 2903, 25292, 267, 834, 307, 257, 16689, 2018, 1496, 29589, 16689, 2018, 1496, 2903, 25292, 267, 834, 307, 257, 3910, 3097, 2018, 1496, 684, 2903, 25292, 267, 834, 303, 257, 16689, 2018, 1496, 1873, 777, 25292, 267, 834, 307, 257, 16689, 2018, 1496, 1873, 777, 25292, 267, 834, 303, 257, 16689, 1038, 23378, 825, 3193, 5091, 3704, 815, 7003, 27331, 14285, 264, 1341, 476, 272, 454, 825, 1219, 7936, 263, 9690, 318, 29674, 267, 3493, 628, 2187, 1038, 1699, 815, 1699, 318, 29674, 314, 271, 2639, 1038, 700, 815, 1699, 318, 29674, 314, 272, 2639, 1038, 952, 3493, 628, 13843, 3193, 5091, 3704, 912, 2018, 2132, 1699, 318, 29674, 454, 1038, 7058, 525, 815, 11713, 1038, 9041, 332, 7174, 815, 7575, 11468, 2639, 1038, 1948, 1403, 972, 616, 7575, 267, 1577, 781, 4894, 519, 3283, 602, 1118, 1100, 2631, 563, 1038, 1948, 26759, 1810, 1405, 3444, 267, 1287, 3444, 267, 1287, 3444, 563, 1038, 1948, 31798, 1015, 454, 1038, 952, 1699, 912, 2018, 952, 1699, 15631, 272, 316, 2652, 1496, 29589, 14158, 3546, 9041, 332, 7174, 31927, 8443, 29589, 7481, 2018, 952, 1699, 15631, 272, 6012, 271, 316, 2652, 23396, 25292, 912, 3546, 9041, 332, 7174, 31927, 8443, 1873, 777, 25292, 267, 1699, 15631, 272, 6012, 272, 316, 7481, 2018, 952, 4425, 520, 269, 2515, 2652, 476, 271, 912, 3546, 9041, 332, 7174, 31927, 8443, 684, 2903, 25292, 267, 834, 307, 257, 7481, 3546, 9041, 332, 7174, 6910, 8443, 684, 2903, 25292, 267, 834, 307, 257, 7481, 2018, 952, 4425, 520, 269, 2515, 2652, 476, 272, 912, 3546, 9041, 332, 7174, 31927, 8443, 684, 2903, 25292, 267, 834, 303, 257, 7481, 3546, 9041, 332, 7174, 6910, 8443, 684, 2903, 25292, 267, 834, 303, 257, 7481, 1038, 585, 1847, 538, 9041, 332, 7174, 912, 2018, 1007, 318, 29674, 815, 1699, 11468, 2639, 2018, 1007, 318, 29674, 6910, 9852, 913, 994, 2018, 952, 1847, 11203, 1496, 29589, 14158, 3546, 1544, 815, 14840, 23945, 28956, 318, 29674, 267, 19382, 267, 9406, 267, 4425, 520, 267, 7982, 1575, 994, 2018, 3116, 912, 3546, 1544, 815, 476, 271, 454, 2018, 952, 1544, 2652, 476, 271, 912, 3546, 1699, 318, 29674, 815, 7936, 8443, 2908, 318, 29674, 267, 7003, 27331, 14285, 264, 3910, 3493, 628, 1341, 476, 272, 994, 3546, 952, 1699, 318, 29674, 314, 272, 316, 11203, 910, 272, 912, 7386, 7058, 525, 6910, 263, 9690, 318, 29674, 994, 3546, 3116, 912, 7386, 2132, 1699, 318, 29674, 454, 2018, 8640, 1544, 2652, 476, 272, 912, 3546, 2132, 1496, 2908, 318, 29674, 267, 910, 272, 2639, 1038, 1655, 815, 1496, 9690, 267, 476, 1911, 271, 2639, 1038, 585, 7058, 538, 7058, 525, 912, 2018, 952, 7058, 314, 272, 316, 2999, 1655, 314, 272, 14158, 3546, 1655, 815, 7058, 454, 1038, 2132, 1655, 454, 825, 7058, 815, 20886, 3910, 476, 271, 2639, 825, 2025, 318, 29674, 815, 7058, 454, 825, 1247, 7058, 314, 272, 316, 11203, 910, 272, 912, 1038, 7058, 815, 7936, 263, 29674, 267, 476, 271, 994, 1038, 952, 7058, 11203, 2025, 318, 29674, 912, 2018, 2025, 318, 29674, 815, 7058, 454, 1038, 3116, 912, 2018, 695, 28984, 9852, 7174, 994, 825, 2518, 1544, 454, 825, 1544, 815, 7058, 314, 271, 6540, 825, 2132, 476, 272, 476, 1948, 1411, 786, 991, 547, 1689, 713, 540, 1576, 910, 11214, 780, 3698, 14840, 23945, 4433, 727, 318, 17839, 267, 29381, 267, 14738, 32390, 13331, 267, 12988, 1575, 2187, 825, 8173, 825, 13079, 1393, 519, 1699, 4971, 5311, 910, 593, 513, 2973, 3014, 1533, 692, 825, 1403, 519, 4971, 5311, 1281, 711, 2014, 606, 22247, 12122, 267, 713, 1599, 786, 454, 825, 2132, 912, 2018, 476, 271, 453, 268, 476, 453, 2252, 519, 3014, 1533, 568, 711, 513, 3070, 454, 2018, 476, 272, 453, 268, 476, 453, 2252, 519, 3014, 1533, 568, 513, 3070, 454, 825, 19227, 519, 1599, 7024, 910, 272, 454, 825, 8173, 825, 2518, 13290, 692, 825, 19268, 14682, 877, 27331, 14285, 267, 14738, 32390, 13331, 267, 12988, 1575, 2020, 825, 13290, 284, 339, 1845, 266, 272, 692, 825, 952, 7003, 4433, 727, 318, 17839, 264, 2525, 271, 281, 453, 453, 258, 19461, 8900, 1544, 454, 1038, 2132, 476, 271, 692, 825, 585, 1775, 538, 2039, 12759, 4433, 727, 318, 17839, 15892, 1038, 952, 630, 16341, 318, 17839, 5157, 6012, 271, 316, 2525, 29589, 2187, 2018, 586, 284, 16341, 318, 17839, 5157, 6012, 271, 28488, 289, 13331, 994, 1038, 3116, 912, 2018, 586, 284, 16341, 318, 17839, 5157, 6012, 271, 28488, 16341, 318, 17839, 5157, 6012, 272, 3910, 29381, 267, 14738, 32390, 13331, 994, 2018, 1535, 284, 13765, 26077, 27331, 14285, 267, 14738, 32390, 13331, 994, 2018, 952, 1535, 2525, 268, 272, 610, 586, 2525, 271, 912, 3546, 2132, 910, 272, 453, 258, 11778, 538, 606, 22247, 12122, 692, 2018, 952, 1535, 2525, 272, 912, 3546, 1820, 834, 11405, 1336, 29755, 2698, 13290, 284, 2580, 339, 1845, 2437, 1544, 3259, 284, 2580, 6352, 4433, 727, 318, 17839, 994, 3546, 2132, 476, 272, 454, 825, 2132, 476, 271, 692, 604, 6449, 4067, 1029, 2525, 257, 1029, 10852, 1029, 257, 1384, 825, 19382, 318, 306, 728, 284, 4289, 4590, 825, 9406, 318, 306, 728, 284, 4289, 4590, 825, 19382, 318, 12988, 1575, 284, 4289, 4590, 825, 13290, 284, 271, 454, 825, 4425, 520, 284, 577, 531, 1575, 320, 10797, 825, 3355, 1125, 14682, 877, 263, 274, 267, 274, 267, 29381, 318, 306, 728, 264, 476, 1948, 2999, 734, 2659, 3070, 1058, 960, 609, 476, 274, 27683, 267, 476, 274, 1004, 2336, 825, 19382, 318, 12988, 1575, 284, 4289, 27331, 14285, 318, 306, 728, 264, 453, 258, 2999, 734, 594, 1223, 556, 2987, 527, 658, 1125, 267, 855, 1946, 711, 1175, 1118, 513, 5299, 2496, 825, 1544, 284, 4289, 3890, 453, 258, 3371, 256, 594, 6415, 4758, 596, 606, 8900, 1544, 256, 2549, 594, 3502, 30330, 3814, 888, 7386, 1948, 630, 604, 596, 1810, 1405, 1205, 602, 267, 596, 10093, 1405, 2938, 3794, 14508, 1807, 2020, 825, 1948, 11910, 707, 3406, 3009, 547, 1628, 519, 3070, 547, 713, 1966, 454, 825, 9612, 2690, 23945, 263, 17839, 267, 29381, 318, 306, 728, 267, 14738, 318, 306, 728, 32390, 13331, 267, 29381, 318, 12988, 1575, 2020, 825, 1948, 1284, 723, 513, 3070, 256, 1577, 781, 2196, 621, 543, 1294, 875, 621, 1568, 454, 825, 19268, 14682, 877, 27331, 14285, 318, 306, 728, 267, 14738, 318, 306, 728, 32390, 13331, 267, 29381, 318, 12988, 1575, 994, 825, 1820, 834, 29381, 17121, 453, 453, 289, 13331, 4848, 453, 14738, 17121, 4840, 825, 585, 1775, 538, 2039, 12759, 263, 17839, 15892, 1038, 952, 1544, 5157, 6012, 271, 316, 2525, 29589, 912, 2018, 1820, 834, 15899, 532, 30882, 2018, 1544, 5157, 6012, 271, 28488, 289, 13331, 994, 1038, 3116, 912, 2018, 1544, 5157, 6012, 271, 28488, 17839, 5157, 6012, 272, 3910, 29381, 318, 306, 728, 267, 14738, 318, 306, 728, 32390, 13331, 994, 1038, 952, 4425, 520, 269, 2515, 2525, 271, 912, 2018, 1820, 19382, 318, 306, 728, 2437, 453, 2580, 289, 13331, 269, 4186, 757, 2437, 4848, 453, 2580, 14738, 318, 306, 728, 454, 1038, 3116, 912, 2018, 1820, 19382, 318, 306, 728, 2437, 4848, 453, 2580, 289, 13331, 269, 4186, 757, 2437, 453, 2580, 14738, 318, 306, 728, 692, 825, 1820, 834, 291, 821, 15323, 0, 19399, 10310, 5992, 2162, 454, 16482, 258, 11483, 290, 667, 10019, 910, 589, 276, 910, 22532, 17978, 585, 8760, 454, 16482, 258, 2659, 512, 553, 1934, 568, 547, 2936, 519, 4834, 543, 6620, 454, 258, 2838, 547, 5721, 513, 22532, 8416, 547, 1685, 8760, 454, 258, 540, 1688, 27787, 9704, 269, 634, 3804, 568, 547, 7794, 707, 454, 258, 1620, 540, 454, 16482, 258, 8416, 2497, 454, 258, 16376, 268, 3453, 26398, 454, 258, 18438, 19106, 454, 258, 18438, 1394, 1790, 1886, 698, 566, 454, 16482, 258, 2659, 3009, 786, 581, 1572, 676, 22532, 301, 1115, 6831, 648, 318, 21923, 454, 258, 1282, 2866, 543, 4152, 563, 16482, 258, 1411, 723, 1569, 547, 519, 1739, 2518, 1239, 630, 718, 454, 258, 4776, 12089, 676, 1412, 10468, 1116, 301, 1115, 318, 29514, 12774, 9538, 12467, 16482, 258, 715, 318, 719, 453, 453, 268, 7089, 540, 3977, 11409, 630, 821, 829, 454, 258, 4449, 7857, 538, 713, 2013, 267, 865, 713, 568, 6378, 454, 258, 4848, 476, 693, 476, 1015, 267, 9704, 616, 476, 271, 547, 476, 280, 994, 258, 715, 18425, 453, 453, 268, 7089, 540, 11378, 269, 6226, 1080, 538, 938, 454, 258, 4848, 476, 1966, 2874, 540, 513, 5119, 540, 454, 258, 4848, 476, 476, 279, 343, 279, 19641, 267, 865, 476, 5038, 11378, 7132, 476, 272, 454, 258, 4848, 476, 585, 519, 9186, 2165, 815, 476, 4792, 454, 258, 715, 20189, 5200, 453, 268, 7089, 540, 6456, 2000, 9707, 4559, 269, 3097, 258, 4848, 476, 649, 786, 5721, 5121, 609, 3097, 258, 4848, 476, 1114, 2338, 540, 4559, 269, 6423, 454, 258, 4848, 476, 519, 29187, 18306, 11053, 311, 307, 585, 811, 3877, 454, 258, 4848, 476, 8074, 602, 519, 4890, 1297, 540, 3097, 258, 4848, 476, 11409, 568, 715, 20189, 5200, 268, 272, 267, 855, 649, 723, 454, 258, 4848, 476, 835, 3063, 7127, 585, 519, 9186, 2165, 2336, 258, 13672, 453, 453, 268, 634, 3060, 781, 1565, 2557, 269, 5590, 676, 454, 258, 4848, 476, 519, 22532, 301, 1115, 318, 8181, 3890, 1599, 563, 258, 521, 580, 25292, 453, 268, 7392, 540, 521, 10176, 18042, 1599, 547, 946, 2676, 258, 4848, 476, 476, 271, 9847, 26848, 267, 476, 272, 9847, 16009, 327, 454, 16482, 258, 654, 318, 1470, 453, 453, 268, 1280, 5121, 609, 12971, 6456, 4494, 2676, 258, 4848, 476, 713, 3947, 519, 12035, 8220, 454, 258, 4848, 476, 11378, 547, 3977, 11409, 563, 258, 4848, 476, 901, 5044, 568, 540, 2450, 630, 301, 18425, 267, 715, 318, 719, 994, 258, 4848, 476, 543, 654, 318, 1470, 9217, 25814, 264, 3947, 519, 2597, 454, 258, 4848, 476, 8220, 3403, 1775, 547, 3977, 795, 454, 16482, 258, 654, 318, 8811, 453, 453, 268, 1280, 5121, 609, 6456, 4494, 267, 3097, 258, 4848, 476, 713, 3568, 519, 12035, 16046, 454, 258, 4848, 476, 11378, 547, 6456, 4494, 11409, 563, 258, 4848, 476, 519, 818, 787, 814, 2450, 630, 301, 18425, 267, 715, 20189, 5200, 268, 272, 994, 258, 4848, 476, 630, 300, 18853, 519, 910, 272, 26695, 16482, 258, 654, 318, 14833, 453, 453, 268, 1280, 5121, 609, 6456, 4494, 2676, 258, 4848, 476, 713, 3947, 519, 12035, 8220, 454, 258, 4848, 476, 11409, 538, 519, 6456, 4494, 547, 454, 258, 4848, 476, 4559, 538, 519, 3977, 4494, 269, 634, 454, 258, 4848, 476, 5044, 568, 540, 2450, 630, 301, 20189, 5200, 267, 715, 318, 719, 994, 258, 3097, 258, 1684, 711, 1039, 1022, 3606, 2518, 1239, 563, 16482, 258, 853, 6621, 3009, 281, 674, 12282, 9950, 269, 3057, 269, 476, 1001, 274, 267, 21213, 3967, 269, 476, 1001, 275, 454, 19399, 10310, 5992, 1012, 692, 5814, 22532, 301, 1115, 318, 29514, 12774, 607, 575, 11907, 454, 5814, 4351, 454, 5814, 2979, 454, 5228, 11885, 1104, 2608, 692, 3698, 521, 31451, 3287, 2187, 825, 952, 630, 326, 11907, 4732, 580, 25292, 2187, 1038, 2132, 6025, 534, 1506, 335, 3287, 4917, 825, 3116, 912, 1038, 2132, 263, 8421, 2065, 3287, 11723, 3698, 26848, 3287, 2187, 825, 2132, 630, 272, 269, 271, 19422, 272, 269, 271, 1341, 2979, 4318, 2878, 11196, 343, 11723, 3698, 16009, 1506, 335, 3287, 2187, 825, 2132, 2979, 6745, 534, 327, 3287, 2020, 3698, 521, 31451, 318, 18905, 5416, 2187, 825, 952, 630, 326, 11907, 4732, 580, 25292, 2187, 1038, 2132, 476, 272, 269, 271, 910, 513, 1262, 273, 454, 825, 3116, 912, 1038, 2132, 513, 2608, 630, 272, 910, 513, 2020, 3698, 16376, 2690, 1189, 9272, 5334, 2217, 2187, 19399, 10310, 5992, 1012, 454, 258, 901, 1599, 1939, 525, 519, 3049, 268, 3453, 11852, 540, 454, 258, 1142, 22813, 538, 519, 3060, 269, 3097, 16482, 258, 1280, 5121, 609, 1100, 6456, 4494, 267, 519, 3049, 268, 3453, 1780, 454, 258, 568, 3551, 269, 634, 3403, 3732, 2907, 3568, 782, 454, 258, 519, 1344, 596, 991, 630, 10175, 519, 9186, 2165, 1916, 16482, 258, 1280, 5121, 609 ]

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

[ 0, 258, 9612, 676, 13445, 692, 2971, 8249, 28562, 609, 7089, 3069, 2147, 547, 2372, 6758, 1384, 23742, 614, 676, 281, 12474, 1826, 912, 25111, 912, 20806, 3188, 1377, 1384, 2162, 1703, 616, 476, 2420, 2164, 692, 289, 5802, 11762, 3436, 10606, 543, 519, 7089, 3590, 3436, 7089, 3069, 692, 2162, 11408, 17828, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 17004, 602, 952, 596, 1039, 476, 272, 547, 519, 1587, 540, 2185, 15654, 2338, 519, 2626, 568, 9338, 310, 17751, 306, 513, 3501, 4009, 780, 2162, 19940, 7089, 18868, 966, 692, 7462, 8609, 281, 476, 275, 543, 476, 276, 692, 763, 3803, 540, 2947, 4930, 799, 2270, 324, 519, 6169, 540, 1946, 519, 5311, 5189, 538, 2376, 10001, 2901, 10301, 519, 6378, 1448, 476, 271, 610, 519, 5311, 13788, 513, 18110, 4783, 540, 2185, 2418, 780, 2162, 8550, 11788, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 2252, 513, 1079, 7857, 1297, 814, 922, 9704, 20328, 543, 519, 4130, 540, 519, 1079, 2338, 568, 10208, 539, 689, 519, 3677, 267, 6961, 519, 3017, 666, 2760, 581, 6305, 780, 2162, 19940, 7089, 18868, 4083, 692, 7462, 8609, 281, 476, 275, 543, 476, 276, 692, 1607, 2376, 11498, 519, 5717, 538, 834, 2662, 1961, 1297, 6384, 594, 2668, 8033, 5224, 519, 6169, 602, 267, 585, 782, 4358, 2798, 267, 519, 8414, 7089, 5311, 4422, 883, 513, 8520, 610, 5321, 538, 593, 513, 6378, 1448, 780, 2162, 1703, 781, 513, 23423, 692, 7462, 8609, 281, 476, 275, 543, 476, 276, 7420, 5426, 1384, 18439, 519, 4797, 6824, 281, 476, 273, 266, 274, 14370, 273, 266, 274, 14370, 273, 266, 274, 270, 273, 266, 1862, 4297, 1548, 798, 596, 5469, 950, 20422, 2474, 616, 3144, 286, 1548, 4523, 547, 519, 2474, 952, 519, 6824, 4422, 593, 22543, 17802, 2496, 2162, 25586, 781, 8293, 4100, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 292, 17526, 1336, 2185, 2898, 2338, 971, 602, 519, 2040, 540, 1022, 1079, 540, 519, 2338, 568, 513, 3501, 4009, 13718, 2162, 4144, 2684, 14932, 715, 2389, 340, 1255, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 4692, 596, 2491, 1946, 513, 5311, 540, 4238, 2141, 3947, 596, 3501, 10945, 2496, 2162, 19940, 7089, 18868, 8633, 692, 7462, 8609, 281, 476, 275, 543, 476, 276, 692, 1103, 713, 3791, 540, 2947, 4930, 649, 6961, 602, 8726, 2898, 1297, 649, 1376, 609, 585, 519, 8414, 7089, 5311, 649, 786, 2141, 1439, 909, 609, 930, 1305, 540, 2338, 1373, 7368, 936, 543, 936, 1586, 780, 2162, 18103, 1229, 590, 4548, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 4131, 513, 3799, 264, 581, 519, 1297, 540, 2081, 540, 11589, 519, 8870, 562, 607, 606, 10288, 2040, 540, 476, 272, 781, 543, 476, 273, 781, 269, 2913, 536, 3799, 264, 581, 519, 1297, 540, 2081, 540, 11589, 562, 607, 606, 10288, 2040, 540, 9981, 3152, 982, 476, 272, 269, 630, 328, 264, 12433, 269, 1547, 1547, 16317, 2162, 7089, 16390, 910, 15528, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 4692, 596, 18609, 803, 540, 1142, 540, 519, 1739, 281, 1403, 513, 4009, 1297, 568, 16611, 676, 513, 4009, 1297, 519, 1587, 568, 9338, 310, 17751, 306, 513, 4009, 1297, 13718, 2162, 589, 9741, 8752, 15154, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 2080, 568, 513, 3684, 609, 2185, 25549, 8279, 269, 2052, 596, 1118, 1079, 8279, 6467, 593, 693, 2899, 286, 8422, 8279, 286, 2353, 2185, 8279, 2496, 2162, 2859, 3057, 7632, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 296, 1376, 609, 513, 2699, 267, 513, 4544, 267, 513, 3039, 543, 513, 5835, 18899, 269, 594, 666, 4123, 1022, 540, 1250, 27371, 585, 1614, 1866, 267, 835, 540, 1142, 7990, 269, 2052, 594, 1439, 909, 609, 4010, 1079, 27371, 540, 1142, 7990, 2496, 2162, 26419, 6004, 269, 20607, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 12893, 317, 273, 815, 630, 8099, 1535, 476, 6344, 264, 1341, 476, 1839, 267, 602, 568, 476, 15171, 1839, 476, 279, 4817, 317, 273, 815, 630, 279, 3445, 1535, 476, 12010, 264, 1341, 476, 1839, 267, 602, 568, 476, 3199, 272, 28276, 2052, 596, 2491, 1018, 568, 8345, 543, 2489, 1047, 2496, 2162, 589, 2290, 538, 18599, 26554, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 1432, 568, 519, 14230, 950, 476, 273, 3867, 13932, 348, 529, 5258, 676, 476, 278, 2496, 2162, 3057, 7632, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 296, 1376, 609, 513, 2699, 267, 513, 3039, 543, 513, 4544, 18899, 269, 594, 666, 4123, 1022, 540, 1250, 27371, 585, 1079, 1866, 267, 835, 540, 1142, 7990, 269, 2052, 594, 1439, 909, 609, 2947, 811, 4544, 27371, 982, 2699, 1310, 513, 1297, 540, 971, 23194, 2496, 2162, 20212, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 4692, 596, 10018, 602, 267, 585, 1022, 1614, 2338, 596, 3442, 267, 519, 1587, 540, 741, 3604, 786, 2141, 581, 606, 1256, 1297, 2496, 2162, 1215, 13518, 2052, 1284, 1975, 754, 2496, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 288, 2197, 814, 4956, 547, 723, 1175, 1079, 1114, 11113, 267, 476, 274, 345, 543, 476, 276, 345, 11113, 269, 6904, 9103, 1023, 666, 581, 1500, 286, 1772, 972, 513, 4102, 2698, 602, 3112, 581, 1500, 286, 1215, 798, 596, 917, 2496, 2162, 5437, 880, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 320, 264, 589, 2185, 7857, 1297, 630, 514, 3490, 476, 1015, 264, 513, 13741, 568, 513, 3501, 4009, 269, 9181, 2081, 540, 18928, 4466, 713, 1297, 269, 630, 321, 264, 28171, 602, 476, 1556, 3867, 1015, 18511, 272, 568, 16883, 676, 476, 1911, 780, 2162, 4578, 932, 16218, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 10574, 568, 2366, 538, 25098, 540, 1079, 1114, 7306, 910, 513, 5835, 32004, 814, 476, 276, 3197, 543, 513, 4544, 32004, 814, 476, 280, 3197, 269, 589, 1239, 18921, 540, 2450, 476, 4029, 3112, 581, 4010, 4904, 609, 513, 4999, 540, 5835, 543, 269, 1547, 1547, 16317, 2162, 24796, 781, 1230, 915, 675, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 13900, 523, 1500, 519, 28756, 675, 602, 834, 22336, 2789, 540, 3670, 814, 811, 2188, 982, 519, 1079, 2338, 2901, 2427, 540, 621, 2668, 1772, 713, 28756, 675, 3020, 2496, 2162, 7316, 2052, 1284, 16731, 2496, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 13142, 12340, 543, 2806, 328, 2322, 513, 4831, 593, 476, 5655, 269, 1358, 9289, 952, 789, 1223, 3643, 782, 519, 824, 2338, 593, 741, 476, 272, 268, 1911, 4604, 267, 3001, 519, 4831, 1210, 1175, 891, 1079, 4238, 281, 1535, 273, 543, 910, 276, 269, 1548, 798, 596, 1589, 2496, 2162, 5899, 1052, 10606, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 5472, 9490, 2338, 616, 6305, 269, 5272, 835, 7857, 6305, 1297, 568, 9490, 543, 513, 1297, 540, 1079, 610, 811, 9704, 568, 9490, 952, 543, 1152, 952, 865, 616, 519, 1079, 2338, 5833, 689, 621, 676, 522, 2466, 1154, 2901, 269, 1547, 1547, 1547, 0, 258, 28116, 476, 272, 268, 273, 268, 274, 692, 24280, 519, 4320, 543, 2627, 1858, 540, 519, 13306, 13235, 291, 9128, 21203, 952, 912, 320, 264, 1315, 5723, 270, 815, 476, 275, 4699, 454, 321, 264, 15943, 540, 3774, 13235, 291, 568, 476, 2420, 4699, 454, 322, 264, 519, 2040, 540, 519, 13080, 540, 782, 8728, 540, 519, 13306, 568, 476, 1789, 4699, 780, 28557, 1267, 1384, 309, 272, 815, 476, 1109, 5038, 4699, 274, 454, 306, 272, 815, 476, 1109, 9834, 4699, 273, 454, 309, 273, 815, 476, 1109, 14917, 269, 23841, 4699, 274, 454, 306, 273, 815, 476, 1109, 8687, 269, 276, 4699, 273, 454, 309, 274, 815, 476, 1109, 1428, 269, 27698, 4699, 274, 454, 306, 274, 815, 476, 1109, 4391, 269, 276, 4699, 273, 692, 2971, 8827, 1384, 2171, 1131, 581, 20938, 952, 596, 1265, 606, 5470, 538, 519, 2262, 1966, 267, 10259, 9073, 267, 610, 538, 3147, 340, 20874, 543, 6494, 621, 547, 721, 269, 11289, 596, 2439, 19522, 547, 1644, 2228, 26732, 454, 31738, 281, 3776, 4320, 4559, 20303, 786, 948, 596, 609, 519, 7503, 540, 4320, 4559, 780, 1012, 8921, 2147, 2979, 2042, 1384, 1892, 634, 3490, 476, 273, 454, 763, 3490, 8006, 540, 513, 1318, 13409, 568, 476, 1626, 9492, 543, 621, 781, 1793, 656, 4463, 568, 476, 1321, 9492, 269, 589, 269, 3738, 4855, 519, 13902, 4463, 540, 519, 13409, 547, 476, 272, 8918, 1747, 269, 645, 269, 3738, 4855, 519, 4320, 540, 519, 13409, 267, 6460, 547, 476, 274, 1713, 4137, 269, 6875, 2650, 815, 274, 269, 1691, 454, 1892, 634, 21641, 454, 5475, 8375, 676, 476, 2412, 9077, 519, 21641, 1942, 476, 1015, 269, 2004, 20789, 338, 269, 1215, 1454, 1705, 713, 21641, 1942, 952, 621, 2799, 538, 3902, 676, 1152, 476, 736, 260, 3079, 540, 476, 2412, 260, 888, 1892, 7981, 1560, 454, 6781, 913, 1142, 3774, 540, 513, 13306, 609, 606, 6316, 513, 815, 476, 1789, 4699, 267, 513, 2834, 29105, 18158, 609, 513, 4463, 540, 476, 1428, 4699, 568, 9112, 269, 4855, 519, 4320, 540, 519, 4611, 1560, 563, 1892, 28116, 11149, 454, 3725, 2897, 519, 1079, 13306, 11057, 11149, 609, 476, 271, 269, 279, 546, 332, 543, 476, 271, 269, 277, 546, 332, 8728, 609, 513, 2582, 13306, 11057, 835, 865, 602, 621, 814, 519, 1482, 4320, 607, 519, 1079, 3312, 3283, 1927, 269, 1548, 568, 519, 3259, 540, 519, 6316, 540, 713, 13306, 888, 1892, 7351, 538, 519, 18364, 454, 24280, 519, 1699, 538, 519, 18364, 630, 514, 544, 288, 264, 952, 621, 568, 4448, 547, 513, 476, 275, 269, 276, 966, 6453, 2707, 543, 922, 4187, 568, 476, 736, 630, 2129, 332, 1916, 1892, 634, 15941, 454, 1432, 568, 519, 4187, 540, 513, 27129, 17689, 950, 621, 568, 4448, 547, 513, 476, 280, 309, 6007, 543, 814, 513, 1699, 540, 476, 6344, 544, 288, 888, 1892, 17897, 531, 9042, 454, 763, 11332, 2968, 14949, 593, 519, 12119, 9042, 676, 476, 2420, 9077, 799, 568, 476, 6434, 20789, 338, 269, 2311, 1018, 3902, 568, 621, 4421, 1631, 888, 1892, 1323, 20987, 454, 2304, 20987, 13733, 476, 13893, 271, 5998, 538, 476, 273, 476, 272, 270, 275, 3108, 269, 1548, 568, 922, 3328, 3432, 538, 5998, 829, 5662, 888, 1892, 476, 6344, 10808, 454, 19667, 728, 476, 6344, 10808, 538, 513, 5223, 540, 476, 275, 281, 476, 277, 563, 1892, 5565, 15945, 454, 1103, 1079, 1114, 15945, 267, 519, 1482, 1236, 529, 1185, 519, 1482, 3902, 269, 769, 519, 1101, 267, 2705, 267, 789, 1101, 2968, 811, 7199, 676, 476, 736, 260, 543, 1287, 14949, 676, 476, 276, 10065, 769, 519, 2034, 267, 789, 941, 1101, 14949, 676, 476, 276, 260, 543, 1287, 811, 7199, 676, 476, 1789, 9077, 865, 1310, 891, 11941, 538, 519, 454, 1892, 570, 592, 2354, 454, 8170, 519, 476, 6344, 32482, 2354, 538, 519, 4677, 267, 476, 3393, 616, 2699, 267, 476, 5780, 616, 5835, 267, 519, 1964, 616, 1490, 26295, 269, 1548, 6871, 540, 32482, 2354, 538, 519, 4677, 616, 1490, 26295, 888, 1892, 476, 1691, 1296, 454, 298, 5451, 10937, 568, 476, 1691, 1296, 2025, 269, 16474, 476, 4510, 269, 1215, 1082, 1296, 786, 3158, 581, 476, 275, 2053, 4587, 888, 1892, 19933, 679, 5145, 956, 454, 275, 7544, 679, 5145, 956, 941, 15472, 693, 519, 13037, 269, 7183, 1185, 1447, 982, 476, 1015, 543, 811, 982, 476, 736, 2818, 269, 2353, 25249, 689, 930, 540, 519, 1079, 679, 5145, 956, 941, 6719, 538, 1142, 7544, 269, 3689, 267, 476, 4029, 5171, 941, 593, 519, 3942, 267, 1287, 476, 3953, 267, 476, 4097, 267, 476, 3374, 267, 476, 4391, 267, 543, 476, 4343, 269, 1215, 1082, 546, 4545, 454, 1892, 15051, 609, 5036, 454, 763, 1305, 645, 910, 589, 814, 7466, 607, 7864, 2609, 982, 519, 1305, 589, 910, 645, 543, 2185, 2053, 7864, 2609, 982, 519, 1305, 589, 3980, 358, 645, 269, 1215, 1082, 2053, 811, 2609, 1281, 519, 1305, 589, 723, 982, 519, 1305, 645, 888, 1892, 16265, 24219, 5036, 454, 2690, 1079, 5036, 918, 267, 700, 568, 3020, 281, 918, 814, 476, 1789, 2609, 267, 700, 814, 476, 2767, 2609, 543, 519, 1305, 700, 910, 918, 814, 476, 2420, 2609, 269, 1215, 1082, 2609, 1281, 519, 1305, 918, 910, 700, 723, 888, 1892, 12384, 10651, 454, 763, 12202, 12733, 609, 7516, 540, 476, 5197, 544, 543, 476, 4968, 544, 568, 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 ]

[ 2320, 730, 780, 6546, 1767, 267, 594, 1336, 519, 476, 1015, 547, 476, 1911, 271, 7447, 9670, 780, 763, 1268, 6998, 519, 2243, 18387, 1405, 2938, 519, 3529, 269, 1261, 568, 8806, 16116, 835, 856, 540, 519, 18137, 780, 306, 599, 513, 3529, 814, 476, 1911, 13212, 269, 22067, 3735, 15489, 1022, 13212, 786, 2887, 267, 547, 4557, 267, 547, 835, 267, 543, 1287, 547, 9039, 780, 763, 1249, 602, 8723, 11945, 4054, 3921, 27274, 723, 1100, 13212, 693, 2547, 12651, 519, 7872, 780, 271, 547, 476, 1911, 271, 13212, 1131, 6157, 581, 2953, 269, 6904, 568, 1018, 649, 1616, 780, 1692, 1082, 9489, 616, 538, 1250, 23129, 286, 630, 296, 10093, 1405, 6743, 24355, 257, 262, 296, 5213, 1405, 5700, 262, 257, 568, 513, 4143, 25627, 2022, 1384, 314, 6021, 281, 6349, 316, 2473, 281, 875, 1082, 13212, 616, 538, 513, 3529, 3544, 2496, 314, 6021, 281, 6349, 316, 2473, 281, 1775, 4312, 2760, 2938, 621, 543, 9444, 723, 596, 692, 314, 6021, 281, 6349, 316, 4432, 773, 10045, 281, 476, 1015, 547, 476, 1911, 271, 692, 296, 1810, 1405, 917, 1018, 621, 568, 267, 4010, 267, 827, 602, 5385, 1862, 855, 594, 723, 513, 2864, 11877, 532, 5114, 547, 621, 269, 594, 1611, 267, 621, 4667, 10169, 1862, 594, 1810, 1405, 917, 519, 2165, 267, 14669, 2501, 14191, 855, 9090, 3884, 1405, 2953, 282, 607, 1498, 950, 2576, 1202, 1235, 593, 1210, 10230, 6114, 547, 513, 3948, 834, 514, 1931, 547, 2061, 10539, 257, 543, 1287, 8098, 1080, 602, 3257, 865, 568, 607, 2693, 547, 16578, 10539, 4534, 1134, 267, 621, 4667, 899, 971, 513, 3364, 568, 2864, 1875, 1922, 8816, 995, 780, 3674, 621, 2731, 865, 2182, 547, 2161, 834, 2467, 568, 13385, 1239, 585, 513, 6209, 16253, 257, 2496, 1692, 1281, 27378, 519, 4267, 1039, 547, 519, 1964, 540, 519, 5619, 2496, 2005, 781, 513, 23363, 1449, 267, 799, 568, 630, 3467, 610, 1447, 264, 513, 1449, 540, 875, 1134, 596, 9794, 519, 6111, 540, 707, 7058, 525, 269, 1215, 4977, 707, 7058, 3294, 729, 568, 711, 1271, 1934, 4849, 950, 24565, 538, 519, 1769, 540, 519, 6015, 1377, 596, 8655, 547, 519, 476, 1428, 26188, 3887, 2416, 17574, 6015, 8884, 780, 2750, 1061, 585, 1004, 945, 5949, 547, 723, 519, 1032, 540, 1496, 1042, 716, 539, 2680, 316, 8357, 1242, 267, 3025, 781, 2626, 547, 519, 1101, 540, 891, 1079, 2055, 729, 513, 7058, 269, 2368, 1004, 781, 7058, 525, 941, 811, 13473, 982, 1866, 267, 855, 519, 1271, 851, 568, 711, 519, 6111, 540, 519, 7058, 267, 855, 875, 1134, 519, 6111, 540, 519, 7058, 13475, 519, 6015, 1377, 780, 2171, 1223, 1449, 938, 23363, 676, 3274, 16460, 513, 2603, 540, 891, 8424, 540, 2055, 267, 1287, 7311, 513, 1697, 18176, 4341, 269, 1809, 602, 4667, 899, 18530, 856, 1344, 269, 17610, 569, 649, 1223, 26215, 622, 5488, 952, 649, 2811, 4847, 547, 946, 938, 6111, 607, 2963, 2496, 295, 7795, 286, 3143, 267, 602, 781, 3478, 811, 1344, 267, 711, 18530, 856, 1344, 269, 1411, 666, 1405, 26215, 622, 952, 596, 1810, 1405, 917, 707, 6111, 267, 865, 621, 781, 711, 2312, 547, 803, 1018, 596, 1611, 676, 834, 9994, 539, 3010, 29973, 569, 267, 519, 1152, 1344, 596, 666, 1205, 689, 513, 2582, 3611, 777, 2002, 568, 2436, 610, 711, 596, 1174, 519, 3398, 1464, 540, 476, 271, 610, 476, 1911, 607, 17831, 630, 327, 842, 281, 789, 5749, 1405, 1040, 1403, 596, 1616, 547, 513, 3730, 23363, 267, 596, 991, 6266, 540, 3611, 777, 2002, 338, 780, 8253, 1018, 594, 5921, 269, 1280, 834, 13678, 2952, 2437, 1224, 834, 332, 699, 569, 1701, 594, 1611, 602, 950, 596, 1205, 6266, 540, 3611, 777, 2002, 338, 267, 543, 26215, 622, 689, 873, 267, 596, 666, 946, 707, 6111, 593, 519, 1101, 2694, 538, 513, 21950, 1259, 982, 1175, 519, 9352, 2638, 540, 2436, 789, 8593, 1369, 707, 6015, 11996, 610, 711, 780, 763, 1259, 713, 568, 3335, 2944, 568, 676, 19310, 1746, 811, 982, 1079, 2338, 547, 1628, 519, 3892, 856, 540, 269, 1280, 1383, 267, 594, 1522, 2307, 596, 585, 513, 4266, 865, 2038, 602, 596, 1589, 972, 781, 1152, 513, 476, 276, 260, 4960, 621, 5949, 1354, 602, 4266, 267, 1287, 513, 4266, 865, 3735, 602, 596, 1589, 972, 781, 1152, 513, 476, 276, 260, 4960, 621, 5949, 1310, 602, 4266, 267, 1287, 2119, 547, 4137, 856, 519, 512, 1068, 3796, 610, 14415, 3796, 780, 30860, 602, 594, 5249, 689, 519, 3544, 538, 268, 950, 1004, 2119, 547, 2097, 909, 609, 513, 3844, 7447, 543, 1287, 4952, 13065, 1472, 602, 3844, 7447, 267, 899, 538, 962, 341, 664, 781, 19310, 2787, 267, 789, 798, 3648, 8338, 982, 952, 11461, 676, 606, 1134, 27059, 1184, 269, 630, 2791, 666, 1294, 606, 1383, 540, 606, 4274, 19310, 2787, 1184, 1934, 24355, 3080, 596, 4312, 2944, 713, 267, 596, 4312, 3893, 811, 2143, 25510, 267, 543, 596, 666, 6218, 519, 10822, 5095, 269, 9497, 295, 332, 267, 594, 1152, 723, 476, 1015, 260, 538, 1250, 2539, 512, 1068, 850, 268, 594, 11129, 547, 4188, 1250, 9193, 1524, 2072, 1701, 2020, 10144, 1419, 3514, 14778, 1759, 593, 19310, 1243, 2418, 267, 855, 789, 3513, 2911, 513, 2603, 609, 519, 4966, 827, 3337, 267, 547, 1118, 2386, 621, 13352, 519, 4274, 781, 4978, 269, 630, 5445, 4043, 547, 946, 1919, 513, 2603, 811, 10427, 982, 26977, 267, 3622, 6074, 865, 602, 28662, 10311, 616, 10375, 4700, 594, 1810, 1405, 1589, 594, 4312, 2938, 1454, 540, 602, 538, 519, 6389, 540, 23363, 267, 1498, 780, 1411, 1223, 946, 602, 17501, 5650, 547, 3132, 513, 811, 5730, 7447, 540, 707, 533, 267, 543, 1287, 946, 602, 538, 707, 1697, 18176, 4341, 547, 3313, 707, 6060, 538, 2258, 550, 16552, 267, 543, 865, 713, 1223, 581, 3730, 585, 23363, 269, 2755, 594, 1589, 713, 1223, 2333, 8856, 538, 707, 23363, 6482, 267, 594, 1810, 1405, 917, 952, 621, 1131, 2965, 2087, 519, 6111, 540, 707, 23363, 6482, 269, 1879, 3257, 7194, 267, 621, 781, 2182, 547, 1118, 909, 585, 3668, 540, 1239, 998, 946, 540, 15931, 2553, 780, 12552, 585, 602, 3095, 267, 543, 585, 15738, 856, 519, 4480, 799, 4667, 899, 513, 1434, 11360, 269, 630, 1103, 519, 8799, 2631, 540, 519, 2262, 24355, 6546, 23363, 2243, 2965, 6659, 513, 2243, 585, 803, 269, 594, 10093, 1405, 2938, 713, 2243, 6659, 267, 4352, 594, 14353, 621, 814, 543, 594, 1175, 10093, 1405, 1336, 519, 4901, 607, 2943, 282, 952, 865, 267, 5225, 1448, 803, 538, 519, 1318, 4287, 780, 763, 1448, 267, 538, 2110, 267, 568, 602, 1250, 8937, 5114, 547, 28798, 1250, 16148, 5506, 3934, 725, 568, 834, 296, 6415, 711, 5461, 538, 3843, 547, 581, 513, 2780, 1701, 1306, 2484, 607, 594, 917, 267, 782, 519, 1871, 594, 4312, 20335, 856, 540, 7787, 626, 2259, 814, 1044, 1454, 811, 12007, 982, 5506, 9273, 267, 971, 607, 4742, 3222, 540, 543, 1565, 547, 5469, 519, 16148, 4743, 540, 7863, 513, 1726, 25979, 3661, 689, 5013, 269, 630, 11900, 1068, 519, 3044, 13946, 1846, 267, 5225, 4700, 594, 6415, 711, 2386, 1018, 594, 1131, 2744, 676, 2921, 519, 942, 547, 5721, 8885, 547, 581, 1732, 693, 10451, 10230, 9193, 540, 1250, 10171, 540, 1373, 2953, 827, 1250, 7058, 525, 780, 1103, 713, 1880, 2013, 267, 594, 31665, 476, 13679, 271, 1759, 593, 1250, 1702, 602, 13053, 729, 3257, 1010, 3364, 538, 519, 4571, 547, 3735, 27867, 2540, 269, 594, 2322, 513, 476, 4792, 260, 6015, 593, 519, 476, 1428, 4458, 8884, 267, 23115, 602, 621, 1522, 581, 513, 22510, 3787, 2663, 982, 476, 13679, 271, 855, 711, 1768, 1026, 569, 1454, 269, 898, 7140, 856, 602, 594, 729, 4636, 827, 602, 8884, 267, 865, 594, 917, 1631, 602, 1759, 593, 602, 3510, 543, 519, 2179, 540, 6015, 594, 5433, 267, 594, 1058, 4440, 2119, 513, 4130, 6015, 7447, 269, 1215, 1454, 4130, 594, 2731, 1810, 1405, 917, 282, 594, 14353, 602, 781, 1018, 713, 834, 295, 517, 648, 24174, 781, 4341, 257, 1866, 616, 6158, 827, 9607, 780, 3719, 519, 3364, 568, 267, 594, 6415, 711, 2386, 1018, 594, 1131, 2744, 952, 621, 5828, 856, 602, 476, 4792, 260, 729, 2731, 519, 1318, 7058, 547, 1118, 269, 1403, 1250, 6015, 9193, 2490, 856, 547, 581, 2731, 267, 2731, 1134, 3620, 19861, 267, 865, 1018, 2496, 4002, 519, 1166, 2354, 728, 267, 952, 621, 5828, 856, 602, 476, 2568, 260, 729, 519, 1318, 7058, 547, 1118, 543, 594, 6108, 930, 942, 26215, 908, 1250, 1378, 5506, 9193, 267, 1018, 798, 594, 2744, 676, 3257, 602, 286, 2334, 1522, 581, 3407, 585, 2679, 606, 3642, 267, 855, 594, 6415, 513, 1514, 10196, 267, 711, 606, 3642, 11001, 269, 594, 1265, 621, 3407, 547, 5469, 519, 4058, 2887, 2329, 538, 2962, 267, 855, 594, 1810, 1405, 1265, 621, 1768, 1026, 569, 5363, 547, 581, 9952, 693, 267, 2161, 267, 6616, 602, 1250, 7058, 540, 1373, 476, 5952, 260, 2693, 547, 12446, 609, 513, 476, 276, 18826, 14345, 540, 950, 594, 2161, 568, 1360, 2693, 547, 581, 4977, 269, 1548, 781, 5363, 568, 6616, 602, 513, 2016, 7552, 11148, 547, 1491, 827, 476, 1839, 3764, 543, 602, 10169, 5781, 855, 9583, 14477, 6808, 786, 1118, 621, 1491, 476, 2412, 3764, 267, 865, 952, 594, 991, 547, 581, 593, 942, 594, 4734, 476, 2412, 3764, 1354, 594, 991, 547, 581, 972, 855, 609, 1919, 594, 666, 798, 585, 476, 1428, 3764, 2899, 594, 6415, 972, 538, 2013, 6808, 568, 5347, 269, 3143, 8763, 17831, 2877, 780, 3719, 594, 1294, 713, 1870, 827, 1565, 547, 1118, 1732, 6857, 5506, 9193, 4947, 909, 9425, 1419, 593, 10815, 654, 3994, 269, 898, 729, 1256, 513, 6249, 538, 519, 645, 2393, 6682, 1186, 952, 594, 1174, 7157, 269, 1924, 2901, 3833, 513, 1297, 540, 1360, 5100, 1004, 945, 6108, 741, 942, 3206, 827, 7787, 640, 782, 7307, 547, 27721, 593, 3024, 532, 1945, 602, 3085, 1405, 2965, 2339, 602, 1454, 547, 7787, 640, 267, 610, 594, 6415, 7508, 1945, 780, 25898, 2576, 798, 803, 519, 21806, 540, 4543, 803, 1294, 1018, 594, 6415, 15151, 9420, 547, 1934, 2496, 4953, 288, 281, 594, 1175, 7691, 602, 519, 4341, 3025, 568, 6158, 827, 1590, 581, 1018, 12968, 648, 24174, 13890, 538, 519, 1291, 2022, 540, 713, 4901, 269, 590, 13446, 585, 711, 711, 6005, 602, 269, 1809, 1250, 4295, 2243, 3788, 2439, 2467, 781, 1100, 1434, 1259, 547, 798, 713, 1210, 1152, 519, 5470, 540, 513, 1448, 7447, 267, 621, 5673, 593, 519, 3337, 540, 519, 3892, 596, 3651, 269, 1280, 1383, 267, 4952, 2576, 945, 666, 1405, 3314, 2436, 930, 2680, 5949, 538, 476, 15433, 273, 610, 476, 6245, 273, 267, 865, 14477, 7058, 525, 476, 15433, 273, 609, 476, 2004, 260, 6015, 269, 1403, 519, 2953, 2626, 729, 476, 6245, 273, 267, 713, 1268, 729, 1055, 676, 476, 1220, 1296, 267, 855, 1869, 1360, 1134, 26215, 730, 269, 0, 258, 11150, 382, 370, 692, 1012, 7763, 22899, 1383, 281, 15613, 585, 9412, 7433, 2480, 19538, 382, 370, 692, 763, 3014, 540, 9412, 7433, 2480, 19538, 568, 513, 1455, 1612, 331, 712, 3014, 1063, 1079, 5716, 945, 4584, 476, 272, 540, 476, 274, 3681, 8195, 1384, 272, 269, 9412, 799, 20054, 2480, 19538, 16963, 273, 269, 7433, 799, 20054, 9412, 16963, 274, 269, 2480, 19538, 799, 20054, 7433, 692, 13295, 267, 713, 14687, 547, 513, 16453, 4813, 10794, 609, 1384, 272, 269, 5565, 5716, 630, 2330, 301, 284, 273, 2330, 6393, 273, 269, 634, 2962, 5036, 616, 281, 6695, 24837, 31505, 20731, 272, 7807, 24837, 31505, 20731, 273, 7807, 3189, 3667, 23334, 1442, 9574, 1422, 3667, 346, 26261, 9574, 1422, 3667, 346, 9928, 19538, 4153, 15732, 274, 269, 634, 2628, 4752, 3252, 616, 2016, 676, 519, 14290, 3230, 288, 267, 645, 2330, 1141, 519, 1101, 4737, 610, 6241, 14687, 547, 6695, 3667, 23334, 1442, 6525, 267, 519, 2034, 547, 6695, 3667, 346, 26261, 6525, 543, 519, 3791, 547, 6695, 3667, 346, 9928, 19538, 6525, 780, 7445, 8218, 346, 20889, 348, 288, 815, 1422, 8218, 32413, 348, 476, 271, 1299, 910, 272, 1299, 476, 272, 8607, 476, 272, 1299, 476, 271, 1299, 910, 272, 11138, 910, 272, 1299, 476, 272, 1299, 476, 271, 11138, 1422, 754, 32413, 4153, 754, 346, 20889, 21456, 7445, 8218, 346, 20889, 348, 289, 815, 910, 589, 815, 1422, 8218, 32413, 348, 476, 271, 1299, 476, 272, 1299, 910, 272, 8607, 910 ]

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

[ 1496, 9654, 269, 2190, 4940, 634, 1739, 1032, 646, 7608, 513, 2990, 538, 519, 6128, 8257, 693, 519, 2160, 540, 670, 4150, 267, 1141, 646, 6170, 519, 1964, 540, 1010, 4081, 4876, 269, 1703, 267, 1010, 13206, 4106, 725, 338, 577, 337, 3424, 729, 1586, 13991, 547, 1297, 3069, 267, 543, 18808, 609, 14759, 540, 512, 1716, 776, 13392, 3029, 269, 12005, 689, 281, 1305, 3069, 538, 634, 5839, 17524, 534, 15610, 454, 2005, 729, 693, 670, 4150, 602, 22616, 528, 779, 26393, 267, 661, 706, 731, 1261, 710, 267, 729, 2324, 593, 2352, 2042, 5473, 25066, 3126, 267, 543, 646, 5461, 22616, 528, 538, 519, 1966, 540, 8159, 519, 2175, 896, 799, 513, 25066, 3126, 540, 519, 1106, 454, 684, 1664, 569, 6719, 513, 2016, 1599, 269, 769, 824, 1913, 267, 1223, 621, 581, 602, 1079, 1114, 25066, 3126, 1223, 2099, 519, 1482, 1599, 286, 1261, 710, 1185, 3254, 267, 538, 476, 6942, 271, 267, 602, 952, 535, 3287, 264, 568, 6024, 538, 2489, 630, 328, 4318, 1421, 585, 782, 855, 513, 13113, 1297, 540, 2798, 540, 19944, 8462, 267, 693, 799, 2798, 1261, 710, 3773, 602, 519, 1599, 991, 711, 8209, 581, 13113, 1070, 519, 6041, 568, 2189, 952, 649, 31274, 602, 519, 3126, 568, 25144, 4780, 7217, 547, 535, 538, 2489, 269, 22616, 528, 729, 2111, 547, 3715, 1454, 811, 2489, 2164, 267, 543, 538, 2947, 4574, 2854, 1063, 476, 6942, 271, 543, 476, 6942, 273, 646, 729, 2111, 547, 1397, 602, 971, 11269, 941, 2189, 1256, 952, 606, 12808, 1297, 540, 11108, 2798, 941, 4847, 267, 865, 1279, 607, 891, 11108, 2798, 630, 328, 4318, 1421, 2798, 693, 799, 519, 1599, 8959, 547, 581, 6024, 264, 941, 7856, 936, 519, 6389, 540, 519, 1599, 779, 4214, 538, 513, 1880, 1259, 267, 7587, 5024, 1018, 22616, 528, 1572, 968, 4812, 5036, 540, 519, 1101, 2249, 1848, 3571, 2090, 540, 891, 543, 1644, 1448, 5036, 5555, 3366, 22616, 528, 547, 1010, 1454, 811, 7493, 543, 3532, 3069, 540, 5036, 543, 13816, 9548, 2338, 269, 8672, 5036, 540, 519, 1101, 2249, 941, 5036, 623, 585, 799, 267, 2016, 922, 5311, 540, 6508, 5036, 630, 1492, 6508, 1305, 623, 12664, 540, 513, 1305, 623, 568, 519, 1305, 540, 782, 519, 3970, 2798, 540, 623, 1070, 972, 729, 930, 13113, 562, 971, 602, 519, 32671, 6508, 1305, 623, 333, 540, 623, 729, 13113, 267, 543, 3976, 519, 630, 333, 1341, 476, 272, 264, 560, 6508, 1305, 729, 8900, 267, 1775, 4318, 1421, 623, 333, 266, 272, 815, 3980, 483, 269, 898, 729, 22616, 528, 779, 7766, 1353, 540, 12808, 5276, 1448, 5036, 602, 1131, 5555, 1291, 547, 1010, 5137, 540, 13816, 9548, 1305, 3069, 538, 519, 476, 6642, 271, 338, 269, 630, 2690, 811, 3877, 827, 713, 267, 1294, 1305, 3069, 1496, 4353, 269, 2420, 19926, 273, 4940, 994, 6524, 646, 1705, 865, 267, 22616, 528, 1101, 3459, 547, 2263, 519, 6286, 540, 1010, 960, 593, 25066, 3126, 543, 519, 2497, 540, 519, 1483, 2338, 538, 1896, 4574, 267, 835, 540, 799, 729, 547, 22499, 6128, 538, 513, 4909, 1259, 269, 634, 1101, 540, 891, 4574, 729, 3370, 538, 476, 6942, 275, 267, 543, 16004, 519, 21030, 6681, 2140, 968, 383, 506, 828, 552, 710, 661, 580, 839, 577, 10762, 964, 769, 321, 1122, 337, 858, 525, 782, 518, 556, 749, 523, 7223, 4593, 1156, 2098, 1695, 6352, 892, 12462, 4002, 513, 3959, 540, 519, 4015, 540, 782, 1483, 15821, 2338, 26158, 769, 713, 1957, 267, 22616, 528, 9863, 602, 519, 1305, 540, 782, 15821, 1483, 2338, 729, 1293, 2406, 12808, 1496, 7656, 269, 1556, 4940, 1548, 729, 12316, 827, 519, 1957, 267, 2705, 267, 729, 602, 646, 849, 9863, 602, 519, 1305, 540, 782, 1483, 2338, 729, 711, 1293, 762, 267, 543, 1590, 581, 540, 513, 2362, 1931, 540, 20581, 982, 519, 1293, 2406, 12808, 1305, 540, 2067, 2338, 269, 1261, 8120, 547, 713, 1267, 538, 476, 6245, 272, 609, 513, 1007, 1935, 267, 519, 14262, 1505, 540, 15497, 1436, 267, 547, 6961, 538, 513, 1360, 1463, 1259, 602, 519, 1305, 540, 1483, 2338, 568, 4608, 870, 2406, 12808, 269, 22616, 528, 779, 2034, 1271, 1957, 540, 519, 8717, 7902, 538, 476, 6942, 279, 267, 968, 292, 514, 2142, 527, 4048, 1990, 584, 28553, 580, 325, 5306, 580, 651, 1080, 548, 327, 516, 892, 12462, 288, 9295, 547, 519, 3069, 540, 27960, 25257, 538, 799, 646, 9863, 630, 5976, 513, 14356, 25768, 4661, 264, 519, 23223, 766, 540, 10155, 267, 513, 11532, 1101, 7157, 9863, 676, 536, 709, 4546, 1496, 9654, 269, 4037, 316, 538, 476, 4489, 272, 269, 9737, 476, 6942, 280, 543, 476, 6642, 275, 22616, 528, 3370, 3670, 4574, 2966, 547, 7291, 519, 2596, 2609, 540, 1010, 1007, 3206, 827, 5036, 269, 1261, 1101, 2808, 1018, 5949, 952, 513, 1305, 941, 711, 540, 519, 1101, 2249, 676, 10962, 6698, 585, 519, 12808, 17523, 2877, 547, 2697, 971, 5036, 269, 1280, 1383, 267, 513, 1305, 623, 729, 1767, 547, 581, 540, 519, 2034, 2249, 952, 972, 729, 1100, 13113, 562, 971, 602, 519, 32671, 6508, 1305, 623, 333, 540, 623, 729, 13113, 269, 1261, 1287, 2808, 519, 2013, 538, 799, 519, 10167, 540, 782, 519, 6508, 5036, 540, 623, 630, 4067, 569, 623, 12664, 267, 623, 16357, 267, 1547, 1547, 476, 1421, 623, 333, 11783, 1547, 1547, 264, 729, 1586, 606, 12808, 1305, 267, 799, 646, 11280, 623, 31236, 269, 901, 1305, 267, 2094, 621, 729, 12808, 267, 1185, 513, 6508, 1305, 607, 1134, 267, 623, 31236, 266, 272, 267, 543, 713, 3366, 538, 1249, 547, 606, 3003, 5311, 540, 6508, 5036, 540, 519, 2034, 2249, 281, 623, 31236, 267, 623, 31236, 266, 272, 11783, 1547, 476, 1421, 623, 31236, 266, 333, 267, 1547, 1547, 476, 1421, 623, 273, 31236, 11783, 1547, 10371, 769, 1010, 1101, 4574, 593, 12808, 5276, 5036, 267, 891, 17523, 585, 6508, 5036, 7283, 968, 8882, 514, 3202, 6698, 27535, 602, 568, 267, 3457, 585, 23243, 1063, 1114, 5036, 269, 1809, 538, 1010, 30421, 526, 331, 10402, 552, 10719, 782, 613, 1889, 514, 523, 28553, 580, 325, 5306, 580, 651, 1080, 548, 327, 516, 12462, 28062, 725, 540, 513, 2489, 1305, 3069, 25257, 3370, 538, 476, 6642, 274, 267, 891, 6698, 2968, 519, 1101, 13816, 9548, 2338, 281, 519, 13816, 9548, 3921, 1400, 2338, 269, 1452, 2338, 3459, 609, 28911, 267, 519, 13816, 9548, 3921, 1400, 1297, 8204, 519, 5311, 540, 2067, 2338, 476, 272, 267, 476, 273, 267, 476, 274, 11783, 1547, 476, 1421, 799, 1223, 849, 581, 2219, 540, 607, 519, 1101, 12808, 3921, 1400, 1297, 1310, 782, 540, 519, 13113, 2898, 2338, 269, 769, 519, 30421, 526, 331, 10402, 267, 22616, 528, 711, 1152, 25282, 519, 2596, 2934, 540, 513, 13816, 9548, 12980, 585, 891, 2338, 267, 855, 646, 3177, 513, 2143, 10952, 8878, 540, 519, 1007, 2338, 269, 31158, 1194, 3101, 519, 12316, 2470, 540, 1018, 646, 729, 10962, 267, 646, 11130, 602, 519, 1007, 2035, 941, 2556, 538, 1931, 547, 3035, 5730, 6310, 2164, 602, 646, 1223, 3489, 676, 1100, 824, 1797, 269, 22616, 528, 779, 1655, 8153, 6310, 5137, 267, 2705, 267, 519, 13816, 9548, 29039, 2338, 267, 799, 646, 20922, 1210, 519, 12355, 4484, 513, 548, 874, 267, 941, 5189, 1152, 2663, 267, 538, 519, 476, 6245, 271, 338, 269, 1358, 941, 1101, 2016, 2407, 1163, 3789, 538, 513, 6292, 540, 4574, 630, 6245, 276, 267, 476, 6245, 278, 264, 602, 27648, 1010, 968, 6826, 527, 337, 7564, 613, 1990, 584, 23548, 745, 526, 2426, 3541, 13816, 8181, 523, 631, 1263, 523, 548, 327, 516, 892, 12462, 6944, 1026, 1903, 547, 519, 15713, 540, 13816, 9548, 1305, 3069, 26158, 769, 1079, 4930, 3370, 538, 7527, 27528, 1323, 2522, 523, 267, 646, 711, 1152, 1305, 856, 1010, 3069, 540, 13816, 9548, 3921, 1400, 543, 29039, 2338, 267, 607, 1134, 607, 741, 818, 603, 27027, 267, 855, 849, 6045, 1010, 3069, 540, 1931, 2010, 267, 12077, 519, 1114, 3601, 17820, 676, 519, 5036, 540, 2067, 267, 7787, 267, 543, 1483, 2338, 2808, 538, 741, 2067, 9753, 269, 1703, 646, 849, 7150, 630, 8117, 1223, 711, 6961, 264, 1010, 4583, 27795, 8367, 1496, 4353, 269, 2420, 19926, 276, 3910, 12077, 602, 519, 1379, 630, 528, 29039, 1297, 264, 540, 519, 27795, 540, 782, 1483, 2338, 568, 519, 1985, 4102, 12808, 1305, 630, 528, 29039, 1297, 264, 1310, 519, 1293, 2406, 12808, 1305, 540, 2067, 2338, 2073, 519, 3556, 514, 1275, 540, 799, 729, 3144, 547, 581, 476, 271, 403, 494, 269, 22616, 528, 6829, 519, 27795, 8367, 7223, 1227, 607, 519, 3948, 602, 476, 273, 476, 272, 815, 13913, 494, 271, 403, 494, 269, 1635, 519, 1439, 540, 1010, 4876, 22616, 528, 1185, 4607, 8956, 776, 5232, 689, 4914, 9945, 543, 519, 595, 963, 344, 29274, 540, 519, 9576, 5980, 585, 1010, 1390, 7418, 547, 6128, 267, 855, 972, 941, 4179, 2517, 14142, 269, 920, 323, 648, 12401, 2593, 270, 20880, 14121, 8084, 11305, 656, 528, 318, 613, 3073, 454, 2889, 21793, 609, 1305, 3069, 602, 941, 3564, 1010, 19206, 547, 16185, 269, 634, 1034, 23892, 585, 1082, 22697, 941, 519, 968, 656, 514, 558, 625, 892, 540, 1305, 3069, 281, 519, 19433, 525, 2322, 4464, 676, 519, 15055, 540, 645, 1116, 328, 293, 677, 328, 543, 678, 639, 8688, 1496, 9654, 269, 10170, 4940, 769, 476, 6245, 278, 519, 5449, 3370, 519, 19433, 16109, 689, 519, 4015, 540, 782, 3921, 1400, 2338, 267, 519, 3921, 1400, 1297, 540, 799, 1058, 581, 606, 3921, 1400, 1297, 3152, 982, 1022, 538, 519, 4015, 540, 782, 3921, 1400, 2338, 269, 769, 476, 5002, 272, 519, 8545, 4362, 519, 19433, 540, 519, 1362, 540, 782, 5049, 602, 616, 711, 2818, 540, 2933, 281, 568, 621, 513, 4759, 540, 3294, 610, 711, 286, 630, 8450, 519, 6433, 538, 519, 13210, 540, 6128, 1496, 2862, 269, 278, 19926, 273, 269, 272, 316, 4700, 22616, 528, 5128, 729, 3222, 540, 519, 32475, 602, 21256, 689, 6236, 519, 10070, 540, 782, 13816, 9548, 3921, 1400, 610, 29039, 2338, 267, 543, 1018, 741, 3921, 1400, 610, 29039, 2338, 1522, 581, 269, 634, 3070, 22616, 528, 7550, 729, 547, 2543, 971, 10070, 607, 1932, 1804, 267, 543, 711, 2731, 5036, 693, 782, 267, 855, 968, 514, 4621, 11962, 27960, 892, 607, 646, 1572, 873, 269, 11524, 267, 899, 2098, 1069, 601, 334, 267, 3459, 547, 24936, 25959, 1125, 1305, 3069, 538, 606, 4674, 547, 23868, 519, 7872, 540, 32475, 269, 634, 1079, 1034, 3532, 2164, 540, 519, 14206, 2540, 547, 9148, 22616, 528, 779, 960, 616, 1346, 540, 575, 7238, 23437, 1496, 9654, 269, 10844, 316, 630, 15367, 3964, 519, 11007, 540, 519, 27795, 8367, 609, 1990, 1069, 601, 334, 1700, 325, 571, 523, 30448, 1305, 3069, 1496, 4353, 269, 2420, 19926, 274, 8079, 543, 6754, 28137, 630, 15367, 5462, 519, 7115, 540, 519, 27795, 8367, 689, 2098, 1069, 601, 334, 1700, 293, 571, 523, 30448, 1305, 3069, 1070, 519, 8545, 6368, 9591, 519, 791, 1601, 2225, 540, 18445, 519, 27795, 8367, 269, 22616, 528, 779, 9371, 585, 519, 1686, 540, 6128, 814, 5963, 1044, 12316, 269, 26361, 782, 267, 1010, 13816, 9548, 1305, 3069, 585, 519, 1101, 942, 5795, 22697, 519, 1797, 540, 7231, 609, 2035, 540, 519, 12808, 538, 513, 6297, 543, 5730, 1259, 269, 4329, 7335, 667, 879, 17754, 267, 808, 269, 654, 269, 476, 1960, 271, 269, 9677, 22616, 528, 269, 3571, 9119, 543, 13898, 540, 519, 5606, 9548, 269, 23134, 267, 2073, 27359, 281, 23134, 2160, 4964, 269, 630, 5575, 3370, 538, 476, 3192, 279, 676, 12370, 2160, 4964, 12175, 667, 879, 17754, 267, 808, 269, 654, 269, 476, 1220, 276, 269, 9677, 22616, 528, 543, 519, 6370, 585, 13816, 9548, 1305, 3069, 269, 769, 26366, 996, 744, 269, 2904, 700, 624, 999, 540, 519, 8225, 5980, 585, 3778, 543, 13898, 540, 9119, 267, 12995, 676, 11709, 645, 5300, 17745, 523, 267, 717, 269, 543, 918, 4176, 517, 267, 631, 1421, 6032, 269, 476, 21854, 268, 6078, 269, 1715, 3840, 281, 22219, 269, 667, 879, 17754, 267, 808, 269, 654, 269, 476, 1220, 276, 269, 9677, 22616, 528, 269, 7433, 593, 519, 968, 28062, 725, 540, 513, 2489, 1305, 3069, 892, 630, 6642, 274, 1040, 769, 8092, 5658, 13360, 902, 538, 5375, 9119, 476, 13932, 271, 268, 3707, 271, 267, 12995, 676, 6182, 3430, 534, 8566, 340, 514, 1145, 267, 594, 1421, 6032, 269, 476, 7785, 268, 1321, 269, 5507, 281, 30296 ]

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

[ 513, 6015, 8884, 1070, 596, 666, 2995, 875, 1454, 519, 8369, 543, 2623, 540, 519, 3732, 596, 5619, 568, 2693, 547, 1821, 5573, 689, 898, 666, 581, 7229, 607, 513, 2789, 540, 519, 3044, 5470, 267, 609, 519, 3815, 4470, 540, 519, 1377, 540, 6015, 5551, 282, 513, 14345, 540, 835, 3044, 5470, 3947, 513, 476, 6924, 260, 6015, 4935, 267, 519, 5021, 14345, 540, 5470, 4564, 606, 5580, 3808, 547, 519, 10462, 282, 835, 568, 693, 2547, 476, 4817, 260, 1978, 602, 519, 834, 25152, 257, 6871, 568, 1369, 519, 5021, 14345, 540, 5470, 540, 901, 2306, 16022, 2631, 1317, 950, 715, 815, 562, 267, 519, 3732, 3587, 513, 14829, 543, 10386, 5470, 3587, 544, 2393, 269, 5291, 2517, 2675, 28291, 3820, 8276, 1173, 514, 6361, 270, 845, 3121, 2173, 1173, 514, 6361, 268, 19587, 21703, 454, 1432, 568, 513, 11752, 27085, 634, 6746, 2209, 540, 891, 4834, 616, 17031, 547, 1079, 8918, 4025, 269, 7147, 29698, 30263, 268, 10695, 9578, 8641, 532, 18185, 8266, 12313, 281, 1269, 14983, 269, 4200, 24246, 13242, 281, 1269, 3374, 269, 876, 24246, 1715, 281, 1269, 10844, 269, 4200, 7343, 28508, 585, 6673, 10803, 543, 20145, 293, 604, 1399, 5668, 27701, 10819, 538, 17438, 609, 10298, 630, 291, 1478, 7734, 593, 9119, 264, 293, 1042, 15104, 4107, 11839, 8266, 12313, 281, 1269, 278, 269, 4817, 24246, 13242, 281, 6744, 856, 938, 10803, 18623, 1222, 8525, 547, 4019, 2336, 300, 1173, 514, 2986, 18438, 18185, 454, 763, 3903, 540, 512, 18802, 8957, 1990, 1606, 14537, 1281, 711, 1118, 1454, 4052, 3017, 950, 519, 3732, 2450, 568, 1360, 1804, 269, 4112, 534, 2218, 543, 15863, 25159, 281, 1548, 3657, 519, 20212, 286, 1215, 547, 12433, 12540, 514, 540, 18438, 630, 341, 8721, 264, 1548, 568, 513, 12540, 514, 540, 18438, 888, 17798, 713, 5750, 666, 581, 9450, 547, 824, 6015, 21159, 607, 1134, 269, 670, 514, 345, 18860, 6686, 2102, 7591, 29812, 530, 518, 6577, 15074, 23565, 1862, 898, 31234, 513, 10171, 630, 2254, 513, 22979, 264, 602, 519, 1267, 689, 513, 3732, 568, 2673, 547, 519, 1297, 835, 1131, 1205, 952, 519, 2898, 2551, 1185, 1044, 844, 518, 1221, 269, 1215, 1677, 4855, 12540, 514, 2986, 18438, 2060, 30151, 3955, 1998, 8158, 476, 1220, 277, 268, 4962, 268, 4029, 269, 9745, 9129, 518, 5894, 267, 700, 269, 630, 4489, 279, 1040, 834, 4002, 519, 1871, 540, 513, 1611, 607, 7229, 689, 513, 3732, 8487, 306, 7773, 10767, 928, 2160, 540, 5303, 269, 12540, 514, 2986, 18438, 9185, 634, 1283, 6712, 12125, 5506, 5860, 1996, 4890, 6871, 267, 6029, 519, 3448, 5506, 602, 519, 4890, 6871, 568, 1483, 2213, 267, 1759, 593, 519, 25541, 6871, 269, 1323, 17745, 6577, 1855, 559, 523, 2725, 15590, 9253, 6577, 631, 7238, 577, 11687, 5918, 10523, 525, 11473, 5283, 6577, 286, 654, 2273, 15074, 23565, 2483, 1103, 2665, 1141, 562, 568, 1932, 1507, 630, 514, 2489, 267, 1447, 982, 476, 1789, 264, 585, 519, 6239, 23423, 14497, 547, 581, 1031, 267, 855, 596, 1869, 1589, 519, 1239, 3357, 689, 513, 3339, 3892, 267, 12540, 514, 2986, 18438, 9502, 7490, 2824, 513, 20394, 269, 25092, 676, 519, 3617, 1990, 265, 268, 7407, 630, 516, 2536, 547, 519, 1657, 3349, 1040, 769, 2259, 649, 949, 711, 8209, 917, 585, 1978, 1018, 519, 2551, 3044, 11539, 2731, 568, 563, 300, 1173, 514, 2986, 18438, 9185, 454, 19913, 12340, 29967, 523, 26566, 267, 476, 747, 544, 7238, 577, 974, 20146, 1531, 531, 1084, 681, 6686, 1188, 326, 7564, 978, 580, 5672, 1156, 5576, 12340, 29967, 523, 667, 625, 525, 11473, 568, 339, 562, 32218, 2357, 325, 6686, 326, 8663, 269, 4855, 519, 2565, 1871, 269, 12540, 514, 2986, 18438, 18185, 30151, 3955, 10094, 910, 15531, 12726, 12025, 910, 667, 21516, 281, 476, 279, 281, 5379, 4414, 5211, 5441, 29216, 2871, 903, 476, 6507, 269, 5780, 274, 589, 18860, 745, 10623, 476, 279, 281, 5379, 30151, 8884, 476, 272, 1923, 5606, 22460, 7194, 1923, 17438, 543, 10803, 1923, 16679, 9142, 910, 12540, 514, 2986, 18438, 30151, 3955, 1998, 18185, 17312, 22230, 1157, 4258, 2284, 267, 543, 476, 273, 260, 1131, 8917, 585, 25453, 715, 14575, 18025, 2678, 595, 877, 14765, 563, 2026, 1776, 1383, 267, 952, 519, 3020, 1871, 568, 476, 2004, 1004, 267, 543, 519, 18802, 814, 513, 6015, 8884, 8953, 540, 476, 276, 1004, 267, 1287, 649, 1522, 2161, 519, 14345, 540, 5470, 568, 476, 276, 1294, 1934, 2991, 8159, 519, 3617, 1871, 540, 1990, 10382, 270, 273, 267, 9062, 676, 519, 3044, 11539, 269, 1809, 952, 519, 3312, 2551, 568, 21354, 7729, 14954, 267, 814, 2789, 19589, 267, 543, 5924, 814, 856, 11502, 267, 3173, 899, 519, 3732, 2450, 547, 581, 1256, 3677, 269, 26629, 15873, 538, 10803, 281, 1548, 568, 621, 1031, 585, 286, 9890, 476, 273, 4555, 593, 968, 1692, 547, 12433, 12540, 514, 540, 18438, 538, 14168, 17778, 892, 19375, 661, 15590, 28727, 4728, 476, 278, 267, 476, 1001, 277, 693, 476, 274, 281, 2412, 10681, 645, 18847, 1215, 1677, 4855, 12540, 514, 2986, 18438, 2201, 23621, 476, 10019, 454, 27839, 1372, 27524, 606, 267, 19804, 796, 1052, 332, 612, 2940, 769, 15595, 974, 1990, 340, 5283, 6577, 269, 901, 3296, 6257, 875, 547, 1265, 519, 2565, 1871, 267, 950, 519, 10386, 3892, 540, 519, 18802, 568, 3339, 610, 5176, 3339, 269, 6744, 856, 519, 3446, 2987, 920, 2084, 1433, 602, 781, 5227, 2542, 693, 10228, 2160, 256, 713, 2985, 24498, 6402, 22816, 756, 23697, 814, 811, 593, 519, 1888, 540, 281, 12540, 514, 540, 5470, 18171, 1168, 1074, 601, 267, 5760, 1408, 267, 1196, 269, 630, 1220, 272, 1070, 834, 11293, 5558, 267, 3069, 540, 2580, 15610, 540, 9119, 267, 22219, 267, 9768, 7818, 268, 272, 268, 4649, 277, 5400, 268, 18089, 268, 275, 1284, 529, 7322, 267, 18238, 654, 269, 834, 300, 1173, 514, 540, 18438, 8487, 3719, 875, 568, 519, 14345, 540, 5470, 7229, 286, 12540, 514, 2986, 18438, 16754, 10789, 476, 273, 901, 1377, 568, 519, 6871, 540, 1135, 3149, 267, 952, 7368, 609, 519, 1482, 1374, 543, 5650, 267, 4171, 14345, 540, 5470, 1472, 519, 4080, 6871, 1131, 1331, 519, 834, 25152, 257, 6871, 269, 7324, 5619, 5171, 267, 519, 1611, 3446, 15304, 3328, 630, 294, 5183, 264, 729, 476, 273, 269, 278, 267, 543, 519, 3044, 11539, 729, 476, 271, 269, 275, 563, 763, 14009, 540, 938, 4542, 5161, 540, 519, 4009, 3597, 540, 519, 3732, 2450, 269, 24576, 540, 15051, 7712, 972, 616, 2789, 3268, 609, 1114, 12980, 3268, 267, 519, 1931, 540, 4238, 568, 1360, 1271, 454, 14188, 596, 23463, 1721, 19142, 909, 256, 634, 12540, 514, 540, 18438, 666, 581, 7229, 538, 1079, 2081, 281, 12540, 514, 540, 5470, 815, 11879, 1871, 1535, 9208, 11539, 12540, 514, 540, 5470, 815, 11879, 1871, 1535, 9208, 5470, 540, 519, 18802, 654, 3317, 5918, 581, 328, 13334, 606, 613, 332, 15505, 564, 536, 626, 267, 737, 2335, 560, 5918, 10523, 525, 11473, 1990, 340, 552, 10719, 7591, 4289, 554, 514, 345, 18860, 6686, 2102, 269, 12540, 514, 2986, 18438, 16754, 1160, 15251, 634, 3044, 5470, 630, 271, 269, 28318, 610, 476, 272, 269, 277, 8472, 2337, 547, 2285, 513, 2631, 540, 519, 6111, 540, 23715, 787, 781, 6059, 6871, 630, 5325, 260, 1916, 763, 3020, 533, 2600, 6015, 8884, 568, 519, 8884, 1496, 320, 267, 536, 316, 602, 3568, 533, 2600, 540, 519, 3892, 267, 543, 1141, 630, 1911, 6567, 533, 8358, 273, 2600, 540, 519, 3892, 6013, 2630, 513, 267, 543, 7490, 2824, 513, 20394, 269, 634, 2872, 3044, 568, 476, 4817, 10065, 5192, 2859, 27084, 2098, 4149, 14537, 9701, 596, 2769, 519, 2565, 1871, 607, 513, 512, 18802, 610, 607, 513, 1990, 1606, 14537, 888, 22428, 519, 2551, 3044, 11539, 568, 476, 271, 269, 277, 13728, 269, 1411, 1522, 849, 2972, 281, 6178, 909, 1703, 729, 606, 5470, 269, 3947, 596, 519, 3044, 5470, 269, 589, 14345, 540, 5470, 6645, 596, 875, 1082, 6871, 2798, 707, 2164, 786, 8428, 689, 519, 1483, 2551, 1871, 563, 290, 7185, 13163, 269, 570, 4149, 14537, 5288, 269, 1411, 666, 1689, 713, 13283, 2630, 269, 1990, 265, 268, 11749, 1132, 585, 29120, 630, 8110, 1417, 720, 264, 30151, 20946, 20587, 720, 30151, 1990, 265, 268, 19368, 476, 3199, 476, 272, 269, 2764, 476, 3445, 476, 272, 269, 277, 3393, 476, 4817, 476, 272, 269, 9834, 476, 7176, 476, 273, 269, 3451, 476, 4200, 476, 273, 269, 6812, 8074, 602, 891, 2418, 616, 3144, 689, 519, 3044, 3339, 630, 313, 268, 264, 3892, 563, 1692, 547, 12433, 12540, 514, 540, 18438, 538, 14168, 17778, 729, 2063, 9168, 281, 4728, 476, 2420, 526, 267, 476, 1001, 277, 676, 1656, 1446, 1635, 1656, 1446, 1923, 4864, 476, 2190, 267, 476, 1001, 274, 1923, 29138, 13281, 1923, 476, 273, 22227, 1923, 7602, 494, 24951, 21159, 769, 513, 32469, 13359, 1062, 267, 1141, 519, 16771, 568, 519, 11134, 609, 519, 1034, 16018, 267, 621, 568, 1271, 547, 917, 945, 568, 6619, 269, 589, 512, 265, 268, 7407, 568, 835, 602, 2501, 689, 513, 512, 1673, 626, 9084, 609, 562, 910, 476, 272, 5232, 540, 5191, 269, 3371, 781, 606, 1383, 281, 14597, 602, 519, 11829, 1575, 9257, 781, 5767, 3542, 25541, 476, 272, 267, 1822, 1004, 689, 519, 2136, 2276, 267, 543, 519, 2164, 1397, 602, 476, 26392, 1004, 630, 7367, 8472, 1589, 519, 7022, 568, 3257, 513, 454, 9202, 267, 649, 1265, 519, 3044, 5470, 540, 519, 1611, 267, 1210, 519, 1739, 3830, 281, 590, 2750, 815, 521, 1315, 21762, 263, 562, 3738, 815, 476, 271, 269, 275, 1315, 21762, 263, 476, 12010, 3738, 815, 476, 271, 269, 275, 1315, 476, 1789, 815, 1280, 1383, 267, 519, 1858, 1063, 1990, 265, 284, 272, 269, 2764, 543, 1990, 15871, 272, 269, 2764, 568, 5111, 476, 271, 269, 3199, 269, 4340, 547, 606, 5239, 476, 273, 267, 476, 1220, 275, 5619, 676, 5240, 15553, 267, 476, 5325, 260, 540, 10805, 17037, 1131, 8917, 585, 3627, 23715, 787, 270, 11990, 29885, 952, 519, 9550, 941, 4371, 593, 602, 1554, 267, 476, 3393, 260, 1131, 8917, 585, 9768, 271, 268, 276, 4097, 268, 31874, 8618, 268, 275, 563, 763, 14345, 540, 5470, 540, 606, 7447, 568, 519, 3368, 2914, 5954, 540, 519, 6015, 8884, 3267, 9745, 853, 10280, 267, 22118, 928, 282, 8751, 5617, 514, 630, 1220, 275, 1040, 834, 1432, 568, 513, 12540, 514, 540, 18438, 8119, 630, 14457, 1040, 634, 14345, 540, 5470, 585, 513, 1880, 10386, 1505, 568, 9247, 519, 1482, 7488, 540, 2436, 519, 2551, 540, 1719, 568, 519, 2450, 540, 513, 1153, 267, 2749, 267, 1533, 267, 610, 2197, 267, 607, 1548, 568, 513, 12540, 514, 540, 18438, 20587, 720, 286, 589, 4351, 3732, 540, 2450, 476, 10384, 25148, 1822, 1822, 1822, 1822, 271, 27501, 510, 1911, 876, 786, 2285, 513, 14345, 540, 5470, 693, 519, 476, 4817, 260, 6015, 1377, 540, 476, 271, 269, 7176, 270, 1911, 267, 610, 476, 271, 269, 27947, 279, 1765, 3286, 896, 476, 272, 10065, 0, 8923, 946, 938, 13561, 3406, 1599, 2630, 547, 1265, 5078, 2472, 585, 707, 9452, 1504, 22627, 2336, 763, 3206, 1983, 2243, 2985, 568, 2966, 607, 513, 4199, 547, 4217, 538, 519, 1646, 540, 2362, 1377, 3206, 1983, 609, 1453, 269, 898, 568, 1759, 593, 25204, 781, 12525, 16860, 543, 5267, 2055, 602, 666, 581, 4280, 693, 1142, 1114, 1377, 585, 1808, 1453, 781, 3332, 563, 8005, 2052, 2422, 281, 11334, 267, 14268, 267, 5516, 326, 1392, 267, 20157, 12579, 454, 12812, 1934, 585, 18467, 547, 946, 15154, 10341, 454, 12812, 1934, 585, 513, 12726, 8525, 454, 1805, 800, 1504, 22627, 3270, 616, 5679, 26860, 543, 5186, 3832, 1540, 12470, 564, 3270, 602, 666, 581, 1031, 547, 2995, 2442, 1453, 781, 2984, 269, 2422, 540, 26095, 10782, 539, 15144, 2429, 2306, 519, 12470, 1115, 4625, 11547, 762, 563, 12812, 1934, 585, 12726, 18963, 630, 1260, 921, 1540, 3785, 994, 1805, 800, 1504, 22627, 12754, 20929, 616, 2966, 547, 4217, 3610, 538, 3232, 7924, 4058, 269, 634, 1079, 547, 1614, 2985, 4199, 10274, 2270, 3875, 6437, 1644, 2238, 602, 666, 581, 6192, 1354, 267, 1282, 267, 543, 1310, 519, 2542, 540, 513, 1650, 269, 1452, 942, 9494, 2200, 2270, 1034, 540, 519, 2609, 602, 596, 949, 2154, 585, 513, 3102, 7924, 1544, 563, 12812, 1934, 585, 2081, 547, 946, 12754, 20929, 454, 12812, 1934, 585, 513, 3732, 12754, 6651, 0, 306, 1222, 20761, 585, 30488, 454, 2421, 12448, 13879, 25844, 19376, 454, 10831, 540, 3817 ]

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

[ 4448, 547, 11105, 8731, 6244, 334, 6810, 676, 1797, 540, 3044, 4745, 13164, 269, 589, 1297, 540, 17453, 27103, 2209, 616, 22274, 2234, 6053, 827, 519, 20085, 4745, 1063, 519, 13557, 21650, 269, 1635, 28729, 1437, 908, 519, 27103, 2209, 267, 519, 4745, 536, 1742, 519, 6174, 827, 922, 19976, 7852, 269, 634, 2604, 540, 519, 4478, 5420, 1996, 519, 3001, 6174, 3123, 519, 6174, 547, 2490, 538, 519, 4287, 540, 519, 18846, 269, 13689, 593, 519, 27103, 2209, 15181, 267, 519, 6174, 666, 581, 1500, 547, 18846, 267, 610, 2490, 267, 538, 1022, 4287, 267, 1818, 585, 513, 3810, 23603, 762, 6174, 269, 634, 13994, 1637, 4559, 723, 8465, 3382, 17011, 936, 519, 2230, 1063, 519, 13557, 21650, 865, 607, 547, 1459, 513, 5347, 2627, 547, 519, 4478, 5420, 543, 8754, 711, 3507, 2406, 2333, 519, 8749, 593, 519, 8731, 6244, 334, 563, 30238, 634, 2136, 2276, 540, 3013, 607, 6719, 676, 519, 14199, 540, 519, 13108, 4793, 757, 912, 268, 25674, 20368, 2678, 1436, 540, 7913, 21476, 454, 268, 15089, 641, 14835, 31281, 3737, 11747, 22107, 3547, 585, 18965, 1617, 626, 788, 1979, 665, 520, 4519, 454, 268, 12197, 8848, 9092, 20085, 14015, 6174, 454, 268, 13583, 675, 2409, 11341, 547, 513, 29884, 14251, 1807, 5044, 454, 268, 2098, 7644, 25321, 8656, 589, 2207, 8104, 30600, 6789, 590, 18510, 22552, 2969, 2464, 11123, 5990, 590, 3036, 303, 3582, 6730, 667, 4488, 302, 6573, 5308, 296, 3582, 5508, 9215, 311, 2975, 10758, 294, 3198, 8008, 295, 5308, 15771, 3036, 302, 4785, 17985, 19006, 454, 763, 8798, 4330, 23954, 949, 581, 14475, 543, 1031, 676, 610, 585, 519, 6554, 540, 519, 2136, 2276, 540, 3013, 585, 22257, 5301, 1510, 519, 8569, 540, 1022, 10424, 2906, 972, 517, 610, 4061, 11065, 19272, 294, 4629, 26685, 5508, 5990, 5442, 309, 2894, 3582, 454, 263, 272, 264, 12197, 540, 519, 769, 3685, 454, 763, 1459, 8798, 12211, 547, 606, 14015, 6174, 2348, 513, 1164, 4110, 540, 23603, 1464, 267, 543, 9388, 811, 3226, 609, 606, 14015, 6174, 2348, 3289, 13866, 1227, 957, 18050, 267, 13994, 4327, 10549, 547, 1852, 519, 3350, 540, 519, 6174, 998, 519, 1216, 563, 263, 273, 264, 13517, 540, 519, 13405, 3203, 454, 3519, 14846, 14015, 6472, 267, 971, 607, 8731, 6244, 3996, 267, 616, 2966, 538, 513, 2786, 543, 28608, 6752, 865, 602, 789, 786, 2196, 3020, 269, 1452, 2010, 540, 6472, 616, 3335, 2838, 547, 2196, 693, 1164, 3432, 538, 513, 3622, 2786, 2619, 4724, 513, 3077, 269, 5345, 5297, 2962, 676, 519, 3077, 3340, 519, 6174, 547, 723, 513, 4110, 540, 23603, 1464, 538, 1931, 547, 6707, 4497, 519, 3077, 269, 6008, 1359, 27634, 616, 3177, 267, 3335, 693, 519, 513, 1111, 1439, 540, 519, 6174, 267, 547, 1852, 519, 4287, 540, 519, 6174, 269, 1717, 267, 519, 7145, 540, 519, 27634, 568, 4389, 676, 519, 2786, 543, 28608, 3337, 540, 519, 6174, 269, 6008, 1359, 642, 6951, 949, 849, 581, 3177, 693, 519, 4464, 1439, 540, 519, 6174, 585, 2799, 23603, 1464, 269, 1717, 267, 971, 642, 6951, 7494, 2333, 519, 6174, 781, 8749, 269, 634, 2799, 8749, 1131, 2154, 519, 6174, 547, 723, 513, 3677, 27668, 1770, 610, 519, 6174, 1131, 1847, 811, 7444, 998, 519, 1216, 269, 589, 3677, 27668, 1770, 949, 1267, 538, 2799, 2450, 267, 1942, 543, 2234, 7007, 6846, 267, 543, 513, 14887, 6174, 949, 581, 24835, 762, 540, 1140, 8724, 519, 3077, 563, 5194, 1505, 799, 666, 581, 1031, 547, 23603, 513, 6174, 568, 547, 18846, 519, 6174, 538, 519, 5551, 4287, 540, 2951, 269, 1306, 519, 6174, 12599, 998, 519, 1216, 538, 513, 2786, 2619, 267, 513, 13581, 18846, 540, 519, 4464, 1439, 538, 835, 4287, 1131, 1267, 538, 2799, 2604, 1996, 519, 6587, 2427, 540, 519, 6174, 269, 1280, 1383, 267, 19755, 519, 4464, 1439, 540, 519, 6174, 547, 519, 1318, 540, 519, 3355, 2619, 2164, 538, 2799, 2604, 1996, 519, 2451, 2427, 540, 519, 6174, 269, 634, 2799, 2604, 4229, 519, 6174, 547, 2490, 547, 519, 1318, 269, 1677, 1450, 19755, 540, 519, 6174, 267, 519, 6174, 949, 581, 13994, 4327, 267, 1775, 4318, 1421, 3177, 609, 513, 1297, 540, 8465, 10549, 269, 7201, 4248, 6472, 609, 8465, 10549, 616, 1134, 1634, 538, 519, 1148, 269, 634, 1016, 11302, 1043, 4262, 5721, 540, 1290, 2125, 267, 4793, 269, 3143, 269, 476, 274, 267, 275, 4281, 267, 278, 1556, 267, 814, 513, 1297, 540, 1016, 11302, 1043, 18535, 8043, 13745, 1927, 543, 2966, 547, 581, 6287, 539, 998, 519, 1216, 676, 513, 4464, 27668, 1770, 269, 11576, 832, 1369, 519, 6287, 539, 8043, 19334, 3440, 770, 15450, 799, 2226, 1697, 3448, 26255, 3599, 543, 21477, 10885, 540, 519, 8043, 543, 2226, 519, 6287, 539, 8043, 538, 1899, 609, 519, 27668, 1770, 269, 634, 4464, 27668, 1770, 2488, 519, 4287, 531, 1852, 585, 519, 4262, 5721, 543, 972, 568, 1100, 7271, 1369, 519, 4559, 585, 3246, 1318, 543, 2451, 1852, 540, 519, 4559, 269, 634, 1062, 568, 711, 9862, 585, 14015, 6472, 2348, 606, 513, 1111, 27668, 1770, 267, 971, 607, 2413, 8731, 6244, 3996, 269, 17018, 341, 1245, 267, 4793, 269, 3143, 269, 476, 274, 267, 5379, 272, 267, 279, 3066, 267, 6257, 513, 1062, 585, 8220, 543, 23376, 513, 14593, 6077, 267, 971, 607, 513, 536, 1618, 1373, 14593, 676, 513, 512, 1872, 29539, 269, 634, 1062, 5161, 540, 513, 8471, 23993, 8220, 519, 536, 1618, 543, 512, 1872, 29539, 607, 1134, 607, 17516, 15791, 689, 519, 512, 1872, 29539, 547, 519, 536, 1618, 269, 634, 15791, 616, 2628, 539, 538, 543, 856, 547, 1683, 23376, 540, 519, 536, 1618, 269, 634, 1062, 568, 9862, 585, 2627, 8043, 543, 2488, 4287, 531, 1852, 1152, 538, 513, 8880, 7077, 563, 2467, 568, 513, 991, 547, 1683, 606, 4824, 1505, 540, 23603, 532, 513, 1164, 3432, 267, 513, 1111, 9141, 267, 14015, 6174, 799, 1281, 711, 3507, 2406, 2333, 8749, 610, 2154, 513, 3677, 27668, 1770, 585, 519, 6174, 269, 1717, 267, 2016, 519, 1804, 11891, 543, 5092, 538, 1459, 8731, 6244, 3996, 267, 519, 23603, 532, 1505, 1590, 581, 2111, 547, 581, 27164, 7257, 1369, 519, 2489, 9511, 540, 1459, 8731, 6244, 3996, 543, 1590, 2417, 581, 2111, 547, 8415, 4540, 8731, 6244, 334, 3334, 2529, 9331, 300, 14473, 5508, 5990, 5442, 309, 2894, 3582, 454, 6097, 569, 267, 621, 568, 513, 2489, 3483, 543, 1843, 540, 519, 1459, 8798, 547, 1683, 513, 3810, 23603, 762, 14015, 6174, 799, 15387, 519, 1459, 267, 1279, 20425, 3337, 540, 1459, 8731, 6244, 3996, 563, 5194, 1843, 568, 547, 1683, 513, 3810, 23603, 762, 14015, 6174, 2348, 513, 23603, 532, 1062, 799, 666, 1852, 3350, 540, 519, 8731, 6244, 334, 538, 513, 4999, 540, 8880, 543, 7299, 14742, 950, 519, 8731, 6244, 334, 814, 606, 513, 1111, 27668, 5397, 563, 288, 1869, 2417, 1843, 568, 547, 1683, 513, 23603, 532, 1062, 799, 666, 581, 27164, 7257, 547, 4540, 8731, 6244, 3996, 543, 799, 18252, 1699, 8731, 6244, 334, 3334, 563, 4322, 3615, 616, 12913, 609, 519, 1459, 8798, 676, 3246, 13994, 1637, 4559, 4092, 1063, 519, 2101, 6810, 267, 1775, 4318, 1421, 2766, 13409, 267, 4492, 7382, 543, 31139, 6810, 267, 540, 606, 4540, 8731, 6244, 334, 269, 3962, 13994, 1637, 1770, 5161, 540, 1079, 13557, 21650, 4448, 676, 513, 20085, 4745, 269, 634, 13557, 21650, 616, 4448, 547, 11105, 8731, 6244, 334, 6810, 543, 519, 20085, 4745, 1063, 519, 13557, 21650, 2636, 519, 16070, 10047, 540, 835, 8731, 6244, 334, 3296, 609, 2463, 547, 519, 824, 269, 3962, 13994, 1637, 1770, 814, 513, 1297, 540, 17453, 27103, 2209, 799, 1852, 519, 16070, 10047, 693, 519, 20085, 4745, 269, 634, 13994, 1637, 4559, 723, 8465, 3382, 17011, 936, 519, 2230, 1063, 519, 13557, 21650, 865, 607, 547, 1459, 513, 5347, 2627, 547, 519, 4478, 5420, 543, 8754, 711, 3507, 2406, 2333, 519, 8749, 593, 519, 8731, 6244, 334, 269, 1635, 28729, 1437, 908, 519, 17453, 27103, 2209, 267, 519, 8731, 6244, 334, 666, 581, 1500, 547, 18846, 543, 3976, 23603, 998, 519, 1216, 11065, 6020, 9128, 23370, 31304, 303, 3582, 5508, 5990, 667, 6938, 310, 5058, 306, 454, 288, 811, 2347, 1620, 540, 519, 8798, 543, 1082, 540, 519, 7390, 656, 5383, 972, 1729, 786, 581, 11593, 15874, 607, 519, 1482, 3587, 1732, 6956, 676, 4704, 547, 519, 1739, 2143, 6609, 950, 2808, 538, 14966, 609, 519, 18913, 12400, 13296, 7222, 4704, 3197, 5815, 7222, 2694, 2429, 519, 1896, 5784, 540, 519, 12400, 543, 13296, 912, 20983, 269, 476, 272, 2982, 513, 2427, 2070, 540, 513, 3044, 8731, 6244, 334, 3248, 20983, 269, 476, 273, 2982, 519, 8731, 6244, 334, 540, 16658, 269, 476, 272, 19034, 609, 519, 13994, 1637, 4559, 540, 519, 1459, 8798, 3248, 20983, 269, 476, 274, 2982, 513, 3444, 3296, 531, 2070, 540, 606, 13994, 1637, 1770, 3144, 2059, 519, 7852, 2473, 734, 311, 540, 519, 8731, 6244, 334, 282, 543, 454, 20983, 269, 476, 275, 2982, 513, 2070, 540, 513, 8731, 6244, 334, 609, 519, 27103, 2209, 540, 519, 13994, 1637, 1770, 15181, 585, 7432, 519, 8731, 6244, 334, 6185, 2464, 31304, 303, 3582, 5508, 5990, 28217, 29052, 305, 3633, 661, 11586, 7495, 8379, 7728, 454, 8269, 518, 2590, 1631, 547, 16658, 269, 476, 272, 267, 972, 568, 3254, 513, 2427, 2070, 540, 513, 1991, 1148, 8731, 6244, 334, 476, 1015, 269, 8776, 6244, 334, 476, 1015, 568, 540, 3044, 28608, 20425, 1374, 2348, 2185, 6810, 281, 513, 1852, 3296, 476, 1015, 320, 282, 513, 31139, 3296, 476, 1015, 321, 282, 513, 4492, 7382, 3296, 476, 1015, 322, 282, 543, 513, 2766, 13409, 3296, 476, 1015, 323, 269, 634, 6810, 616, 4448, 676, 1797, 540, 4745, 13164, 476, 1321, 269, 29114, 13409, 3296, 476, 1015, 323, 3568, 519, 27668, 1770, 630, 2254, 3254, 264, 585, 519, 8731, 6244, 334, 799, 7140, 519, 4412, 25527, 476, 1691, 3254, 607, 546, 14414, 9944, 695, 9613, 476, 1626, 269, 29114, 13409, 3296, 476, 1015, 323, 2417, 2882, 14927, 532, 642, 6951, 476, 1240, 543, 7432, 27634, 476, 736, 269, 667, 2086, 532, 642, 6951, 476, 1240, 4196, 547, 2061, 12902, 540, 519, 8731, 6244, 334, 827, 922, 19976, 7852, 2473, 734, 311, 269, 634, 4287, 540, 2951, 540, 8731, 6244, 334, 476, 1015, 568, 5462, 676, 519, 10066, 540, 7432, 27634, 476, 736, 607, 6417, 689, 1852, 3296, 476, 1015, 320, 538, 513, 6073, 1134, 1634, 538, 519, 8731, 6244, 334, 1148, 563, 8269, 518, 2590, 1631, 547, 16658, 269, 476, 273, 267, 8731, 6244, 334, 476, 1015, 568, 3254, 609, 13994, 1637, 4559, 476, 2420, 19034, 1063, 519, 6810, 476, 1015, 320, 1673, 269, 634, 13994, 1637, 4559, 476, 2420, 616, 4448, 1063, 519, 6810, 676, 1797, 540, 606, 3606, 4745, 6512, 476, 1321, 267, 971, 602, 513, 4745, 1063, 6810, 540, 519, 8731, 6244, 334, 1631, 2882, 513, 4745, 6512, 476, 1321, 593, 2901, 2427, 540, 13994, 1637, 1770, 476, 2420, 269, 634, 13994, 1637, 4559, 476, 2420, 616, 1031, 547, 1852, 519, 4287, 540, 2951, 540, 519, 8731, 6244, 334, 971, 602, 7432, 27634, 476, 736, 8612, 538, 16658, 269, 476, 272, 616, 1100, 3476, 2556, 543, 723, 711, 1044, 3254, 538, 16658, 269, 476, 273, 269, 898, 786, 581, 15874, 602, 7432, 27634, 476, 736, 1223, 2611, 547, 1683, 32118, 4287, 531, 1852, 540, 8731, 6244, 334, 476, 1015, 269, 28582, 2590, 1631, 547, 16658, 269, 476, 274, 267, 972, 568, 3254, 513, 3444, 3296, 540, 606, 13994, 1637, 1770, 476, 2420, 8704, 1063, 1079, 6810, 476, 1015, 320, 543, 476, 1015, 321, 540, 8731, 6244, 334, 476, 1015, 267, 3144, 2059, 519, 7852, 2473, 734, 311, 269, 8307, 513, 6712, 540, 8731, 6244, 334, 6810, 476, 1015, 320, 543, 476, 1015, 321, 723, 1044, 3254, 543, 621, 786, 581, 6956, 602, 13994, 1637, 1770, 476, 2420, 949, 581, 8704, 1063, 1022, 1079, 8731, 6244, 334, 6810, 269, 3958, 267, 538, 519, 9053, 20032, 3254, 267, 519, 2934, 540, 13994, 1637, 1770, 476, 2420, 616, 2938, 547, 581, 27101, 827, 519, 7852, 2473, 734, 311, 269, 1280, 9355, 267, 4704, 3197, 585, 930, 2934, 723, 1044, 8612, 593, 1152, 835, 2427, 540, 7852, 2473, 734, 311, 269, 3203, 545, 1637, 1770, 476, 2420, 814, 513, 4464, 13557, 3650, 476, 2190, 543, 606, 513, 1111, 13557, 3650, 476, 2918, 799, 616, 4646, 547, 19898, 609, 8731, 6244, 334, 6810, 476, 1015, 320, 543, 476, 1015, 321, 267, 6606, 267, 543, 609, 4745, 13164 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5591, 2914, 514, 21345, 3510, 454, 4415, 519, 1082, 15076, 2469, 883, 5375, 2342, 689, 2112, 2389, 1941, 2127, 971, 607, 16850, 543, 12925, 267, 594, 993, 1134, 18056, 540, 1250, 960, 609, 24752, 6259, 15076, 538, 519, 4182, 540, 16888, 593, 1312, 519, 5101, 543, 4639, 24434, 540, 519, 16888, 5211, 269, 594, 5249, 609, 519, 631, 3317, 31354, 6239, 9730, 630, 300, 6717, 1070, 513, 8323, 3919, 267, 538, 519, 476, 4198, 271, 338, 563, 21595, 652, 15687, 29240, 2968, 15076, 538, 476, 3707, 279, 267, 1310, 5840, 2968, 513, 1533, 269, 3509, 15076, 19679, 547, 519, 7603, 747, 334, 1858, 267, 1141, 519, 2244, 568, 476, 8517, 3952, 2630, 4262, 1377, 269, 31301, 2137, 10355, 6749, 547, 2630, 476, 3393, 5232, 18278, 538, 5162, 269, 7603, 747, 334, 849, 814, 10036, 3037, 689, 799, 554, 7491, 941, 3710, 2427, 8386, 20933, 676, 543, 585, 519, 15076, 269, 681, 725, 585, 1426, 941, 3177, 676, 519, 2136, 8315, 269, 594, 19443, 538, 631, 6717, 7802, 14778, 547, 519, 15076, 267, 543, 891, 941, 24603, 9660, 689, 519, 2136, 2276, 269, 9861, 513, 21345, 568, 16970, 543, 8966, 10751, 267, 609, 3388, 4503, 4849, 519, 7802, 12816, 269, 27051, 476, 10384, 267, 1822, 6259, 15076, 8507, 689, 519, 1101, 6259, 270, 29994, 328, 2112, 538, 476, 3707, 279, 563, 2467, 941, 5111, 476, 4343, 267, 1822, 15076, 538, 519, 7603, 747, 334, 589, 336, 19487, 808, 629, 4011, 8805, 269, 1703, 941, 824, 3606, 7404, 13122, 971, 607, 661, 514, 29001, 630, 292, 1501, 320, 779, 674, 20667, 1040, 1879, 1101, 4947, 547, 519, 10513, 8092, 267, 594, 5280, 538, 3043, 31290, 23572, 543, 5321, 585, 15076, 538, 21861, 1415, 269, 901, 3177, 585, 1732, 26149, 538, 519, 17743, 902, 269, 1703, 941, 1079, 540, 721, 7555, 593, 513, 21117, 267, 799, 2221, 13013, 11190, 1131, 7494, 7106, 17311, 540, 267, 3257, 519, 3043, 31290, 269, 2311, 835, 1448, 267, 519, 21117, 13264, 1524, 282, 594, 267, 676, 4960, 267, 1336, 513, 15309, 344, 267, 7745, 17970, 593, 519, 2666, 538, 519, 13946, 543, 554, 2459, 1229, 621, 883, 519, 21117, 609, 513, 6149, 269, 1284, 941, 1287, 2111, 547, 3136, 519, 3043, 31290, 269, 13536, 267, 594, 6026, 6259, 21345, 8695, 538, 519, 631, 3317, 31354, 1153, 538, 7603, 747, 334, 543, 849, 6026, 693, 14886, 27258, 3427, 538, 10548, 718, 1695, 267, 2282, 13243, 563, 1103, 476, 3422, 278, 267, 5840, 9676, 519, 1964, 630, 736, 2600, 264, 540, 519, 2244, 540, 21157, 689, 16888, 269, 634, 15076, 689, 589, 336, 19487, 808, 629, 4011, 21345, 3786, 1287, 7962, 1221, 543, 19679, 547, 519, 5101, 7813, 883, 519, 4182, 540, 16888, 269, 11109, 1500, 2947, 2132, 15143, 547, 16888, 267, 594, 723, 1336, 519, 21345, 3510, 1256, 8338, 269, 26219, 15076, 2221, 7904, 4370, 883, 5697, 3864, 2477, 568, 513, 1100, 2914, 514, 3510, 585, 891, 15076, 269, 0, 763, 2817, 5244, 6796, 568, 5275, 1857, 3403, 547, 1489, 519, 1646, 540, 513, 19731, 13734, 4643, 585, 519, 5101, 543, 4639, 623, 1180, 1858, 540, 519, 25706, 7345, 13812, 25083, 269, 634, 1544, 568, 538, 519, 2038, 5933, 540, 1646, 267, 543, 519, 2817, 5244, 6796, 2115, 707, 948, 7114, 1883, 2152, 543, 1761, 2359, 2994, 269, 2913, 721, 917, 1018, 596, 1589, 2336, 1692, 547, 1205, 3238, 454, 12585, 891, 2055, 543, 948, 721, 2697, 2152, 547, 2232, 912, 2252, 596, 4867, 3643, 519, 5101, 610, 4639, 623, 4637, 267, 1018, 798, 596, 2972, 827, 519, 1858, 888, 2252, 596, 798, 711, 7363, 3643, 713, 1858, 267, 568, 972, 1022, 1880, 2601, 1946, 888, 1432, 568, 519, 6288, 3257, 1134, 693, 5101, 610, 4639, 623, 1180, 602, 596, 1131, 899, 547, 1294, 3136, 888, 5970, 596, 8067, 1229, 693, 891, 4609, 538, 519, 2250, 286, 1215, 798, 596, 1589, 519, 6288, 666, 3927, 4497, 13538, 538, 519, 19642, 540, 891, 2127, 630, 5408, 811, 1344, 2630, 25145, 1692, 1131, 596, 899, 547, 1294, 519, 6288, 2936, 519, 5075, 540, 519, 476, 1001, 275, 4937, 5004, 4643, 888, 8923, 6494, 4267, 547, 519, 715, 4916, 12020, 267, 5113, 543, 5398, 19410, 3896, 630, 10059, 2517, 335, 1046, 680, 8911, 8542, 1186, 10993, 13478, 974, 2072, 1222, 23945, 1070, 610, 13875, 873, 547, 519, 1739, 2232, 912, 294, 622, 3118, 2817, 28046, 9351, 454, 13975, 1715, 3840, 22971, 2676, 16920, 333, 281, 5101, 543, 4639, 623, 1180, 19731, 13734, 4643, 454, 21809, 523, 6816, 267, 12924, 476, 9818, 4962, 454, 763, 6085, 1974, 32195, 593, 4873, 476, 278, 267, 476, 1708, 273, 563, 288, 5691, 1930, 2777, 729, 18799, 593, 2904, 476, 1704, 269, 3807, 1616, 513, 5299, 540, 519, 6881, 286, 3371, 621, 568, 563, 29919, 7046, 5600, 547, 1865, 519, 5101, 543, 4639, 623, 1180, 19731, 13734, 4643, 563, 21761, 18542, 5999, 454, 1432, 13664, 1858, 786, 519, 5101, 543, 4639, 623, 1180, 19731, 13734, 4643, 3382, 888, 763, 9165, 540, 519, 2359, 1544, 568, 519, 5101, 543, 4639, 623, 4637, 593, 681, 592, 619, 4446, 670, 817, 1442, 547, 519, 5087, 540, 16340, 19305, 267, 607, 1134, 607, 519, 4478, 2127, 3015, 547, 8436, 540, 519, 25706, 7345, 13812, 25083, 6250, 3218, 4741, 543, 922, 4478, 18162, 543, 4612, 894, 15225, 563, 1432, 568, 519, 3483, 540, 519, 5101, 543, 4639, 623, 1180, 19731, 13734, 4643, 286, 1215, 1281, 621, 9305, 547, 1991, 4566, 888, 763, 2063, 6101, 1544, 585, 519, 5101, 543, 4639, 623, 1180, 1858, 729, 6192, 538, 476, 2735, 272, 269, 13518, 814, 4957, 2094, 1287, 281, 2916, 1689, 543, 4262, 1377, 4473, 723, 13175, 547, 21279, 519, 1858, 282, 7649, 5092, 538, 519, 25083, 814, 2799, 282, 519, 5888, 540, 18508, 543, 21426, 814, 2849, 335, 1117, 282, 7226, 814, 1044, 9927, 282, 543, 715, 4916, 2359, 4507, 723, 7960, 269, 1306, 4683, 1646, 5170, 543, 2067, 3338, 616, 12012, 2066, 519, 23195, 1858, 267, 519, 25083, 814, 1831, 811, 1271, 982, 2479, 267, 1312, 547, 519, 20276, 656, 5065, 2371, 543, 2831, 8200, 2390, 922, 9249, 585, 741, 6668, 267, 543, 547, 519, 1004, 945, 1265, 11005, 543, 18399, 972, 16638, 602, 2796, 267, 519, 3483, 540, 713, 1544, 568, 547, 8190, 543, 2149, 713, 11537, 1858, 676, 7114, 543, 3384, 2994, 547, 4434, 2359, 3853, 538, 1896, 2127, 269, 634, 19731, 13734, 4643, 786, 2697, 2359, 3527, 1644, 547, 519, 4027, 540, 2200, 1519, 15195, 22253, 267, 27436, 6177, 2249, 267, 17055, 7320, 2249, 267, 12748, 2200, 267, 10575, 663, 9249, 267, 2357, 2522, 20115, 267, 19126, 267, 543, 4992, 7870, 269, 634, 19731, 13734, 4643, 786, 849, 7291, 6859, 1644, 547, 2502, 513, 3309, 2146, 540, 8436, 543, 13538, 267, 5883, 513, 7347, 15321, 13781, 267, 2069, 543, 7664, 267, 543, 3246, 3255, 585, 4797, 1857, 946, 543, 18399, 540, 519, 5101, 543, 4639, 623, 1180, 1858, 563, 1692, 1281, 519, 5101, 543, 4639, 623, 1180, 19731, 13734, 4643, 9305, 547, 519, 6288, 779, 4937, 5004, 4643, 888, 763, 13057, 3561, 585, 519, 5101, 543, 4639, 623, 1180, 1858, 568, 19835, 3118, 779, 476, 1001, 275, 4937, 5004, 4643, 630, 294, 6573, 1070, 799, 2488, 513, 476, 736, 4458, 5075, 585, 519, 3003, 6288, 269, 634, 717, 6573, 3964, 6288, 2359, 10851, 547, 4766, 519, 5551, 2175, 585, 6288, 2200, 543, 21233, 2833, 538, 1142, 1858, 540, 519, 6288, 269, 634, 3003, 5101, 543, 4639, 623, 1180, 1858, 8813, 538, 519, 7849, 18630, 267, 799, 11225, 3768, 324, 975, 539, 2127, 602, 616, 7307, 547, 8190, 2067, 2200, 1247, 849, 3850, 585, 930, 12809, 18883, 543, 18399, 267, 971, 607, 6972, 543, 7320, 13156, 269, 10738, 519, 7849, 18630, 267, 519, 2027, 6213, 4199, 1016, 29773, 11225, 2067, 2127, 602, 15549, 519, 5207, 1377, 540, 4027, 267, 971, 607, 519, 5101, 543, 4639, 623, 4637, 2933, 543, 741, 11105, 6070, 332, 1513, 1127, 269, 1452, 2127, 616, 3617, 585, 3621, 7634, 267, 5464, 267, 543, 11808, 267, 855, 1857, 1569, 568, 11658, 547, 7413, 5222, 269, 8802, 8973, 5752, 267, 519, 717, 6573, 1572, 585, 519, 25706, 7345, 13812, 25083, 547, 2611, 513, 2442, 10278, 585, 2470, 1353, 267, 2825, 2069, 267, 543, 2470, 2861, 7664, 1247, 2502, 6107, 543, 3885, 998, 2470, 2861, 3872, 543, 19642, 3292, 269, 3204, 8973, 5989, 267, 519, 717, 6573, 9788, 519, 24536, 585, 606, 9450, 3060, 540, 18162, 267, 4604, 19789, 802, 543, 2470, 1353, 6703, 630, 324, 3052, 1421, 1085, 8554, 267, 9420, 338, 267, 8343, 1232, 802, 264, 547, 7520, 1582, 28621, 3660, 3408, 607, 1134, 607, 4612, 633, 19150, 543, 3872, 5752, 2429, 519, 7849, 18630, 269, 3204, 8973, 2200, 267, 519, 717, 6573, 1572, 585, 9249, 693, 25706, 7345, 13812, 25083, 267, 1519, 519, 5101, 543, 4639, 623, 4637, 267, 547, 581, 6870, 543, 9738, 267, 2523, 547, 1489, 513, 4763, 540, 27436, 5017, 269, 7053, 267, 519, 717, 6573, 7125, 585, 519, 9675, 547, 2333, 27436, 6177, 8446, 267, 10203, 267, 543, 1382, 269, 634, 19731, 13734, 4643, 11394, 547, 4434, 1142, 540, 891, 1463, 1161, 689, 519, 717, 6573, 676, 13994, 6819, 3853, 267, 6859, 267, 543, 2404, 2359, 2994, 563, 1432, 568, 519, 15415, 585, 519, 1646, 540, 519, 5101, 543, 4639, 623, 1180, 19731, 13734, 4643, 286, 1879, 786, 519, 1857, 723, 3403, 883, 519, 1544, 888, 294, 622, 3118, 568, 4867, 5275, 2038, 1857, 6278, 593, 2152, 547, 581, 9619, 610, 11117, 538, 713, 1544, 269, 589, 1883, 1900, 538, 519, 1857, 6278, 568, 513, 5691, 1930, 2777, 547, 581, 4371, 593, 2904, 476, 1704, 267, 476, 1708, 273, 693, 476, 278, 281, 876, 533, 6230, 1421, 1282, 799, 715, 4916, 5234, 786, 6338, 519, 19731, 13734, 4643, 4674, 269, 19893, 616, 849, 9415, 547, 10505, 2055, 538, 4434, 540, 519, 2680, 950, 789, 11578, 269, 2859, 1344, 827, 713, 2680, 267, 1519, 14261, 267, 666, 581, 1336, 1934, 281, 4179, 2517, 560, 1168, 1841, 327, 2089, 17427, 4318, 1203, 321, 1679, 2593, 269, 5804, 4989, 476, 2918, 547, 4873, 476, 278, 267, 476, 1708, 273, 267, 2043, 267, 2229, 8041, 267, 1875, 268, 7443, 543, 585, 17416, 3906, 616, 849, 20888, 547, 1683, 5955, 998, 519, 715, 4916, 12020, 267, 5113, 543, 5398, 19410, 3896, 630, 10059, 2517, 335, 1046, 680, 8911, 8542, 1186, 10993, 13478, 974, 2072, 1222, 23945, 264, 25791, 2923, 31822, 22017, 3118, 333, 1186, 593, 9365, 610, 12108, 1070, 610, 538, 1603, 693, 19835, 3118, 2817, 28046, 9351, 630, 2969, 307, 301, 281, 5101, 543, 4639, 623, 1180, 19731, 13734, 4643, 1070, 476, 13975, 1715, 3840, 22971, 267, 6465, 523, 6816, 267, 1715, 3840, 476, 9818, 4962, 269, 5475, 519, 1857, 6085, 1974, 32195, 593, 4873, 476, 278, 267, 476, 1708, 273, 267, 715, 4916, 5234, 786, 2689, 3403, 4607, 543, 6451, 8292, 883, 519, 1646, 540, 513, 8908, 19731, 13734, 4643, 269, 19835, 3118, 786, 849, 3132, 513, 3561, 6029, 875, 621, 814, 2808, 267, 11117, 267, 543, 11368, 1857, 5955, 269, 2060, 713, 3403, 538, 1688, 267, 715, 4916, 5234, 786, 2263, 14323, 2035, 543, 2994, 267, 3313, 4143, 10832, 543, 29676, 267, 543, 5531, 1344, 543, 6791, 7868, 1267, 540, 713, 4674, 786, 581, 513, 8908, 19731, 13734, 4643, 602, 786, 10929, 1857, 543, 30393, 2689, 1354, 715, 4916, 5234, 6218, 10220, 543, 15360, 2115, 267, 2347, 15360, 543, 10220, 267, 543, 3803, 1125, 519, 1544, 269, 4438, 519, 6388, 5123, 267, 519, 19731, 13734, 4643, 786, 1489, 519, 1646, 540, 3044, 5665, 10873, 602, 786, 1291, 547, 519, 5551, 4093, 4857, 538, 519, 4643, 585, 519, 5101, 543, 4639, 623, 4637, 269, 634, 19731, 13734, 4643, 786, 1683, 513, 31387, 585, 7674, 8436, 543, 25137, 2067, 2200, 936, 519, 1985, 2947, 3562, 268, 1084, 1296, 269, 0, 1692, 1082, 2609, 814, 623, 10490, 1070, 952, 589, 815, 3852, 355, 888, 2171, 917, 602, 952, 589, 568, 513, 1305, 609, 544, 2609, 1775, 4318, 1421, 562, 10490, 264, 815, 544, 267, 1287, 562, 314, 303, 10490, 13580, 815, 476, 273, 332, 563, 2252, 589, 815, 3852, 355, 267, 1287, 562, 10490, 264, 815, 476, 271, 563, 30043, 562, 314, 303, 10490, 13580, 815, 476, 736, 815, 476, 272, 454, 17798, 267, 623, 10490, 264, 814, 835, 3693, 563, 3674, 972, 606, 5470, 538, 713, 2243, 610, 3070, 888, 21581, 20861, 338, 1280, 2353, 23527, 0, 292, 4777, 6833, 2350, 27198, 10361, 267, 5484, 514, 8003, 267, 13280, 267, 1309, 269, 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 ]

[ 269, 670, 269, 12844, 652, 324, 601, 4083, 729, 538, 4971, 689, 4873, 2394, 5437, 476, 3707, 275, 267, 543, 20727, 269, 2637, 269, 670, 269, 595, 269, 2398, 3430, 729, 538, 4971, 689, 5412, 476, 3707, 275, 2394, 5437, 476, 3707, 276, 267, 1310, 519, 2673, 540, 3984, 1988, 269, 634, 8109, 16470, 16710, 267, 8385, 1572, 29036, 16470, 16710, 267, 729, 27648, 593, 476, 1704, 4728, 476, 3707, 272, 267, 2059, 609, 519, 824, 18626, 772, 269, 590, 269, 8878, 12981, 269, 898, 729, 2699, 30472, 730, 519, 8109, 26308, 540, 15051, 593, 476, 2190, 5412, 476, 3707, 272, 269, 4438, 782, 713, 1974, 700, 339, 269, 2637, 269, 670, 269, 589, 269, 3220, 636, 729, 21276, 569, 16710, 532, 4937, 267, 3689, 8136, 543, 8109, 630, 301, 677, 8603, 264, 16470, 16710, 630, 763, 831, 540, 15051, 1040, 634, 8109, 26308, 540, 15051, 729, 10411, 21114, 519, 8109, 16470, 16710, 476, 1556, 4728, 476, 3707, 273, 269, 4937, 3220, 636, 729, 16309, 538, 1312, 19206, 538, 476, 3707, 274, 676, 700, 339, 269, 2637, 269, 6723, 6182, 684, 1068, 267, 945, 6039, 607, 16710, 532, 4937, 267, 8109, 16470, 16710, 267, 476, 279, 5239, 476, 3707, 274, 268, 4029, 5147, 476, 3707, 276, 269, 23394, 269, 2637, 269, 918, 269, 623, 269, 7083, 2968, 2920, 532, 16710, 532, 4937, 267, 8109, 16470, 16710, 267, 476, 272, 4864, 476, 3707, 276, 543, 4371, 519, 2022, 2394, 476, 1428, 4728, 476, 3707, 277, 267, 950, 519, 4971, 729, 19944, 4240, 269, 634, 6239, 543, 8828, 16470, 2155, 1343, 267, 519, 6967, 18626, 772, 269, 590, 269, 12981, 267, 941, 2760, 519, 11596, 540, 4238, 563, 27987, 547, 519, 7305, 540, 12937, 454, 8310, 8242, 476, 866, 5239, 476, 1220, 275, 0, 4504, 571, 5025, 20294, 11831, 3019, 623, 18804, 454, 290, 3300, 335, 6160, 566, 538, 799, 513, 23028, 1770, 15222, 1242, 609, 519, 3461, 781, 6850, 15258, 328, 6945, 6385, 25361, 513, 17891, 538, 519, 513, 677, 320, 609, 26775, 610, 3327, 8166, 538, 2038, 1019, 770, 1961, 543, 17355, 340, 919, 519, 17891, 693, 519, 12614, 540, 30918, 1961, 269, 1306, 519, 17891, 4870, 919, 267, 621, 12651, 513, 20294, 1019, 770, 4301, 2604, 267, 543, 607, 621, 1219, 331, 919, 267, 621, 24506, 513, 20294, 30918, 4301, 2604, 269, 634, 1267, 568, 513, 6175, 538, 2451, 5887, 14152, 960, 543, 2799, 26961, 658, 543, 15672, 13526, 4288, 563, 2750, 947, 633, 13250, 540, 3063, 341, 6018, 5714, 538, 519, 5761, 267, 606, 16315, 540, 513, 3978, 5817, 2068, 610, 4524, 269, 17240, 14004, 30046, 11151, 3608, 623, 8085, 300, 2177, 14473, 717, 3008, 12327, 6224, 3198, 12283, 538, 519, 623, 8085, 300, 2177, 14473, 9338, 12717, 25459, 267, 543, 666, 581, 1272, 18446, 563, 22102, 15450, 267, 1419, 15498, 762, 267, 2966, 585, 17303, 21528, 519, 2295, 267, 2356, 519, 700, 9128, 307, 966, 7728, 30278, 4041, 267, 547, 6802, 1973, 269, 1358, 2874, 540, 513, 23028, 12068, 543, 513, 1379, 2707, 267, 799, 949, 581, 13148, 610, 11207, 5007, 547, 519, 1560, 543, 15181, 676, 13590, 16546, 563, 303, 18804, 602, 11226, 519, 2067, 2534, 540, 519, 2295, 269, 630, 291, 528, 1633, 267, 476, 2767, 628, 1196, 994, 15761, 2350, 23705, 648, 531, 6490, 1962, 2033, 27488, 566, 454, 17951, 328, 6955, 7360, 267, 11831, 3019, 267, 20840, 776, 454, 763, 11808, 540, 1973, 3761, 547, 519, 26961, 1756, 269, 630, 5804, 16910, 1633, 267, 476, 2764, 628, 1196, 994, 8196, 540, 1102, 16272, 540, 674, 296, 16576, 2562, 5357, 312, 12087, 17985, 19006, 547, 6861, 610, 23271, 555, 668, 6798, 538, 1973, 8043, 610, 21271, 21910, 338, 563, 9391, 303, 3583, 14333, 27691, 1442, 26287, 1231, 454, 763, 2360, 267, 1312, 2199, 543, 11528, 267, 3361, 676, 519, 11116, 540, 14662, 3036, 303, 12778, 306, 563, 288, 4480, 585, 21528, 519, 10009, 676, 13302, 519, 1310, 2903, 540, 519, 2451, 28602, 548, 543, 11160, 13586, 519, 1019, 770, 4301, 2604, 269, 898, 949, 581, 6913, 676, 12499, 8584, 20294, 17891, 267, 610, 676, 5579, 13589, 513, 2027, 23028, 3926, 538, 519, 9221, 267, 610, 608, 27238, 676, 7311, 513, 2942, 2604, 547, 519, 2539, 17119, 885, 1282, 13487, 30918, 1961, 563, 294, 25353, 275, 3690, 5524, 16748, 454, 13434, 1800, 540, 519, 4090, 3562, 2173, 30291, 30402, 12067, 4229, 540, 519, 16777, 11286, 607, 15810, 5196, 1585, 4609, 593, 519, 1560, 781, 2627, 267, 30431, 730, 607, 513, 22185, 1599, 540, 942, 269, 634, 10916, 568, 16913, 676, 513, 16439, 593, 3500, 3001, 5750, 1957, 610, 676, 11287, 621, 593, 513, 3556, 3930, 322, 2100, 267, 799, 568, 513, 595, 26059, 7495, 292, 17241, 312, 570, 18510, 292, 20591, 303, 6369, 312, 563, 11947, 268, 21328, 1744, 1442, 31515, 454, 11947, 268, 600, 680, 3363, 13496, 6329, 267, 2066, 799, 5860, 267, 2604, 267, 543, 9325, 6991, 1689, 20427, 269, 634, 7344, 3196, 689, 891, 8710, 6329, 666, 581, 1031, 585, 2964, 1227, 27200, 8031, 543, 12074, 563, 305, 14508, 2762, 540, 519, 15466, 1062, 540, 519, 2295, 4887, 1310, 13297, 540, 513, 4334, 5420, 563, 22137, 1031, 547, 1449, 1696, 328, 11043, 19165, 538, 799, 31921, 827, 606, 4598, 547, 2322, 894, 21465, 2188, 616, 6508, 689, 1239, 11341, 547, 4162, 540, 7606, 896, 1353, 610, 547, 2621, 610, 2833, 538, 741, 2250, 269, 634, 1898, 4183, 568, 602, 930, 540, 519, 7606, 896, 1353, 723, 519, 2068, 610, 6364, 540, 1719, 543, 741, 4162, 616, 3379, 609, 1346, 540, 19448, 26327, 7606, 563, 1103, 11987, 3157, 540, 519, 16757, 6821, 540, 519, 2295, 630, 300, 312, 8016, 2752, 14888, 9331, 264, 799, 1267, 538, 5945, 547, 519, 13487, 4887, 2281, 630, 300, 312, 8016, 312, 307, 2464, 267, 27334, 14888, 3722, 1040, 2494, 28685, 725, 2039, 689, 1016, 30570, 547, 6727, 2669, 630, 14701, 26059, 267, 590, 11070, 291, 2894, 1040, 3733, 18201, 4345, 538, 7681, 609, 13487, 14524, 568, 9286, 607, 12982, 27334, 14888, 6865, 312, 8008, 2969, 14176, 2356, 3361, 676, 5442, 293, 4488, 3582, 267, 16991, 3676, 267, 610, 6114, 547, 6757, 6878, 269, 3733, 18201, 4345, 568, 849, 513, 1455, 2014, 540, 667, 6579, 28714, 27334, 14888, 6865, 312, 8008, 2969, 14176, 543, 824, 6315, 3912, 13771, 625, 563, 288, 23644, 2451, 5887, 14152, 3284, 673, 14524, 610, 17891, 532, 10483, 676, 6850, 15258, 328, 4919, 630, 4488, 294, 264, 570, 5951, 538, 951, 687, 269, 901, 25983, 1275, 568, 2404, 609, 1164, 2157, 540, 29640, 17248, 5357, 4456, 2562, 2464, 267, 2901, 13950, 610, 1439, 4094, 3585, 9658, 1540, 689, 513, 10510, 610, 1282, 3665, 2566, 563, 25332, 3569, 540, 513, 2551, 585, 513, 6190, 1297, 540, 7606, 936, 513, 6190, 1297, 540, 1296, 547, 5352, 11841, 610, 9019, 3928, 7766, 547, 519, 5542, 540, 519, 1353, 1895, 563, 29587, 22859, 20567, 267, 5403, 268, 14813, 541, 794, 454, 299, 659, 3130, 610, 751, 2130, 540, 13487, 8031, 17729, 1310, 31253, 8016, 2752, 14888, 3201, 5442, 293, 2752, 290, 3582, 563, 17357, 517, 776, 5516, 19590, 454, 763, 6413, 1770, 538, 799, 2550, 609, 8650, 13487, 4713, 4309, 14021, 1416, 563, 21296, 5029, 23299, 454, 291, 1392, 542, 540, 519, 2095, 540, 1973, 689, 519, 13675, 540, 519, 1318, 693, 8922, 2047, 547, 519, 513, 677, 320, 630, 528, 3185, 7394, 16050, 264, 3842, 606, 5135, 1807, 3976, 21271, 532, 1312, 519, 2295, 543, 9641, 563, 288, 26945, 2783, 538, 799, 519, 2295, 568, 8572, 547, 6802, 856, 6190, 1973, 547, 2743, 519, 10894, 991, 540, 519, 1560, 269, 9839, 5821, 666, 581, 3361, 676, 7293, 12889, 267, 6198, 17244, 630, 309, 7728, 30278, 8085, 2752, 667, 22076, 293, 7419, 290, 3582, 1070, 610, 513, 6727, 20358, 3564, 922, 4390, 269, 18127, 2295, 5821, 568, 811, 1455, 982, 8650, 2295, 5821, 799, 2164, 689, 6727, 29405, 547, 13487, 1599, 267, 971, 607, 31253, 8016, 2752, 14888, 3201, 5442, 293, 2752, 290, 3582, 563, 26073, 1670, 2175, 5473, 519, 16777, 11286, 1519, 922, 7293, 543, 6198, 17244, 563, 17357, 517, 776, 1488, 6670, 1635, 10139, 454, 9391, 303, 3445, 14333, 27691, 1442, 26287, 1231, 454, 288, 1362, 540, 17834, 28421, 8085, 2752, 8863, 4338, 2207, 2177, 2464, 4171, 2818, 957, 538, 519, 7271, 540, 590, 5456, 2793, 299, 13138, 3198, 16256, 10813, 3582, 676, 5254, 2207, 302, 2839, 23414, 7968, 307, 27633, 563, 7093, 19387, 2281, 30758, 547, 16174, 883, 13487, 1250, 14231, 630, 300, 312, 8016, 312, 307, 2464, 267, 27334, 14888, 3722, 1916, 288, 1362, 540, 8579, 5773, 585, 21501, 519, 6668, 1599, 630, 10818, 540, 942, 267, 4358, 609, 513, 2551, 476, 1911, 260, 1134, 693, 513, 2016, 942, 543, 3246, 519, 6871, 540, 519, 2551, 1869, 1134, 693, 2663, 2053, 1040, 634, 6668, 2079, 568, 1287, 1031, 585, 1818, 31921, 827, 519, 2360, 540, 5574, 267, 1322, 333, 8251, 2188, 267, 23927, 267, 543, 824, 23656, 919, 593, 519, 1599, 563, 309, 550, 14152, 20029, 531, 22859, 20567, 454, 299, 659, 3130, 610, 751, 2130, 540, 519, 966, 7728, 30278, 8085, 2752, 590, 7968, 307, 9331, 267, 2356, 3361, 676, 31253, 8016, 2752, 14888, 3201, 5442, 293, 2752, 290, 3582, 563, 16676, 6681, 15474, 5794, 3118, 16242, 454, 288, 4480, 540, 7929, 3797, 267, 538, 2901, 31380, 7244, 610, 2964, 1227, 5887, 23624, 2550, 267, 538, 799, 21572, 2604, 568, 9738, 1657, 11626, 2604, 2429, 519, 7929, 4783, 676, 2046, 584, 1436, 540, 519, 5887, 559, 2218, 5547, 269, 630, 4002, 6441, 710, 6481, 9218, 1496, 25542, 4940, 1715, 31069, 2390, 14977, 928, 263, 20084, 2567, 634, 2160, 1546, 696, 269, 540, 6481, 2201, 19223, 281, 634, 9435, 25446, 289, 5741, 282, 524, 1960, 278, 268, 1220, 274, 1496, 322, 1243, 476, 1220, 274, 4455, 476, 1704, 4940, 12232, 689, 281, 5291, 2517, 4754, 1356, 19986, 8542, 743, 28482, 16896, 270, 558, 323, 270, 994, 294, 2940, 20309, 19938, 267, 25833, 454, 9391, 303, 2767, 14333, 27691, 1442, 26287, 1231, 454, 288, 1016, 26967, 540, 1507, 3002, 6879, 1442, 5946, 602, 1599, 607, 7636, 669, 1653, 2158, 602, 5351, 538, 1201, 13783, 540, 1875, 28921, 5946, 269, 1358, 1404, 513, 8825, 1909, 602, 4679, 10408, 6668, 1282, 2053, 540, 2566, 563, 29587, 4406, 557, 1160, 560, 4185, 1955, 8690, 566, 454, 306, 17790, 24450, 540, 10991, 1570, 547, 7816, 13676, 610, 30428, 2295, 17901, 563, 294, 25353, 276, 3690, 5524, 16748, 454, 288, 1895, 594, 669, 1653, 13908, 3940, 602, 3029, 519, 22902, 6438, 2497, 540, 519, 669, 1653, 13908, 1950, 269, 898, 568, 606, 23731, 9593, 545, 3940, 609, 513, 10058, 2497, 540, 27552, 1016, 28493, 267, 11231, 538, 1079, 14034, 540, 5722, 1016, 28493, 1142, 269, 634, 3940, 729, 8385, 6594, 538, 645, 3722, 9898, 8656, 1141, 621, 568, 4122, 5219, 547, 607, 23108, 5085, 3940, 563, 12179, 1505, 540, 5841, 7244, 602, 18271, 7344, 610, 1875, 24578, 22817, 1797, 547, 3196, 519, 2011, 883, 543, 856, 540, 519, 9641, 269, 14464, 19344, 610, 14910, 568, 1031, 538, 2043, 945, 723, 11074, 7244, 610, 723, 19419, 303, 7644, 2969, 12088, 5442, 24746, 13697, 2975, 296, 27301, 312, 547, 2333, 741, 6981, 540, 5135, 630, 302, 273, 264, 543, 608, 17917, 540, 3327, 8166, 630, 4596, 273, 1916, 21809, 6750, 3631, 799, 4766, 519, 2078, 1063, 513, 12007, 8200, 4756, 630, 7474, 568, 267, 835, 799, 666, 1491, 1152, 1978, 15768, 2418, 267, 971, 607, 519, 4527, 610, 9000, 540, 513, 2068, 264, 543, 606, 4830, 4756, 269, 589, 1455, 3498, 568, 538, 27496, 585, 21501, 606, 1367, 781, 1981, 630, 22238, 1464, 540, 513, 2068, 264, 607, 513, 1599, 540, 513, 2016, 1981, 3815, 563, 288, 1895, 540, 3676, 538, 799, 519, 8789, 4183, 568, 519, 9525, 540, 519, 27334, 14888, 3722, 631, 4785, 290, 4041, 3294, 269, 9315, 328, 3912, 13771, 625, 616, 9286, 2687, 547, 741, 12880, 2619, 19398, 8344, 2934, 630, 291, 6579, 28714, 27334, 14888, 6865, 312, 8008, 2969, 14176, 282, 670, 24688, 12224, 4629, 15771, 2975, 27334, 14888, 6865, 312, 8008, 2969, 14176, 282, 681, 12239, 30278, 20937, 27334, 14888, 6865, 312, 8008, 2969, 14176, 264, 610, 741, 1696, 8344, 9706, 987, 1670, 2188, 630, 290, 2752, 14888, 6865, 312, 8008, 2969, 14176, 267, 9338, 4596, 295, 5357, 2975, 282, 13673, 291, 8016, 2752, 14888, 3201, 674, 29368, 4629, 5085, 17129, 5308, 3041, 1916, 288, 1305, 540, 2553, 1031, 950, 8390, 538, 1896, 4632, 814, 547, 581, 6594, 8195, 269, 769, 7194, 267, 1617 ]

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